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1
+ 1
2
+ 00:00:20,840 --> 00:00:26,640
3
+ ุงู„ุฌุฒุก ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ู…ุน ุงู„ kurtzes ู‡ุฐุงุŒ ู‡ุฐุง ู…ุด
4
+
5
+ 2
6
+ 00:00:26,640 --> 00:00:30,800
7
+ ุนุงูŠุฒู‡ุŒ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุตุบูŠุฑุฉุŒ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ ู‡ุฐู‡
8
+
9
+ 3
10
+ 00:00:30,800 --> 00:00:35,120
11
+ ุงู„ู…ู†ุทู‚ุฉ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ kurtzesุŒ ู‡ุฐู‡ ู…ุด
12
+
13
+ 4
14
+ 00:00:35,120 --> 00:00:41,640
15
+ ุนุงูŠุฒูŠู†ู‡ุง ูˆ
16
+
17
+ 5
18
+ 00:00:41,640 --> 00:00:47,030
19
+ ู‡ุฐู‡ ุงู„ slide ู…ุด ุนุงูŠุฒู‡ุŒ ู‡ุฐู‡ ู…ุด ุนุงูŠุฒู‡ุชุนูŠุฒูˆ
20
+
21
+ 6
22
+ 00:00:58,790 --> 00:01:14,610
23
+ ู…ุงุจุฏูŠุด ุฃุดุฑุญู‡ุง .. ู…ุงุจุฏูŠุด ุฃุดุฑุญู‡ุง ุงุดุฑุญุช
24
+
25
+ 7
26
+ 00:01:14,610 --> 00:01:18,130
27
+ ุฃู†ุช ุงู„ุทู„ุงุจ ู…ุด ู„ุงุฒู… ุฃุดุฑุญู‡ู… ุฃู†ุชู… ูŠุนู†ูŠ ุงู„ุชุจุฑูŠุฏ ู…ุด
28
+
29
+ 8
30
+ 00:01:18,130 --> 00:01:22,230
31
+ ู…ู‚ุฑุฑ ุนู„ูŠูƒู… slide ูˆุงุญุฏุฉ ู…ุด ุนุงุฑู ุณู„ุฒู…ูŠุชูƒ ุงู„ู„ูŠ ูƒุงู†ุช
32
+
33
+ 9
34
+ 00:01:22,230 --> 00:01:31,960
35
+ ุชุชุจุน ู…ุนุงูƒุงุณุฃู„ูŠู‡ู… ูŠุฌูŠุจูˆุง ุงู„ุฌูˆุงุจ ุงู„ูŠูˆู…
36
+
37
+ 10
38
+ 00:01:31,960 --> 00:01:42,920
39
+ ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ุจุฏุฃ ุฃูƒู…ู„ ู…ูˆุถูˆุน a new topic is called
40
+
41
+ 11
42
+ 00:01:42,920 --> 00:01:48,320
43
+ quartile measures definition
44
+
45
+ 12
46
+ 00:01:48,320 --> 00:01:58,220
47
+ of quartile measuresุงู„ู€ Quartiles ู…ุนู†ุงู‡ุง ู…ู‚ุงูŠูŠุณ
48
+
49
+ 13
50
+ 00:01:58,220 --> 00:02:01,460
51
+ ุงู„ู…ู‚ุงูŠูŠุณ
52
+
53
+ 14
54
+ 00:02:01,460 --> 00:02:08,960
55
+ ุงู„ุฑุจุนูŠุฉ ุงู„ู…ู‚ุงูŠูŠุณ ุงู„ุฑุจุนูŠุฉ Quartiles
56
+
57
+ 15
58
+ 00:02:08,960 --> 00:02:15,240
59
+ ู…ุนู†ุงู‡ุง ุฃุฑุจุนุฉ ุงู„ Quartiles split the rank data into
60
+
61
+ 16
62
+ 00:02:15,240 --> 00:02:20,270
63
+ four equal segmentsุจุชุฌุณู… ู„ู€ data ุงู„ู…ุฑุชุจุฉ ู„ุฃุฑุจุน
64
+
65
+ 17
66
+ 00:02:20,270 --> 00:02:24,730
67
+ ุฃู‚ุณุงู… ุฒูŠ ุจุนุถ with an equal number of values per
68
+
69
+ 18
70
+ 00:02:24,730 --> 00:02:28,190
71
+ segment ุฅุฐุง ุงู„ู€ quartiles ุจุชุฌุณู… ุงู„ data values
72
+
73
+ 19
74
+ 00:02:28,190 --> 00:02:32,310
75
+ into four equal segments ูŠู‚ุณู… ู„ูŠู‡ุง ุงู„ุฃุฑุจุน ุฃุฌุฒุงุก
76
+
77
+ 20
78
+ 00:02:32,310 --> 00:02:37,810
79
+ ู…ุชุณุงูˆูŠุฉ there are three quartiles one is called
80
+
81
+ 21
82
+ 00:02:37,810 --> 00:02:43,870
83
+ the first quartile ุงู„ุฑุจุน ุงู„ุฃูˆู„ and is denoted by
84
+
85
+ 22
86
+ 00:02:43,870 --> 00:02:44,350
87
+ Q1
88
+
89
+ 23
90
+ 00:02:52,190 --> 00:03:04,850
91
+ ูˆุงู„ุฑุงุจุน ุงู„ุฃูˆู„ ู‡ูˆ ู‚ูŠู…ุฉ 25% ู…ู† ุงู„ู…ู„ุงุญุธุงุช ุฃู‚ู„ ู…ู† Q1
92
+
93
+ 24
94
+ 00:03:04,850 --> 00:03:14,330
95
+ ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ 25% ุฃู‚ู„ ู…ู†ู‡ Q1
96
+
97
+ 25
98
+ 00:03:14,330 --> 00:03:21,350
99
+ 25%ุฃูˆ ู…ูˆู‚ุน ุงู„ุจูŠุงู†ุงุช ุงูˆ ู…ูˆู‚ุน ุงู„ุจูŠุงู†ุงุช ุตุบูŠุฑ ู…ู† ุงู„ู€
100
+
101
+ 26
102
+ 00:03:21,350 --> 00:03:30,250
103
+ Q1 ูˆุงู„ู…ู‚ุงูˆู… ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Q1 ูŠุนู†ูŠ ุงู† ู‡ู†ุงูƒ 75% ุฃูƒุชุฑ
104
+
105
+ 27
106
+ 00:03:30,250 --> 00:03:39,670
107
+ ู…ู† ุงู„ู€ Q1 ูุงู„ู€ Q1 ุนู„ู‰ ุฃุดู…ุงู„ู‡ 25 ูˆุนู„ู‰ ุฃู…ูŠู†ู‡ 75 ุงุฎุฑ
108
+
109
+ 28
110
+ 00:03:39,670 --> 00:03:42,710
111
+ ู…ู‚ุงูˆู…ุฉ ุงุณู…ู‡ุง Q2
112
+
113
+ 29
114
+ 00:03:49,140 --> 00:03:53,960
115
+ ุงู„ุงูƒุชูŠุฑ ุงู„ุซุงู†ูŠ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ
116
+
117
+ 30
118
+ 00:03:53,960 --> 00:03:57,600
119
+ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชูŠุฑ ุงูƒุชุฑ
120
+
121
+ 31
122
+ 00:03:57,600 --> 00:04:03,100
123
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
124
+
125
+ 32
126
+ 00:04:03,100 --> 00:04:03,120
127
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
128
+
129
+ 33
130
+ 00:04:03,120 --> 00:04:03,260
131
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
132
+
133
+ 34
134
+ 00:04:03,260 --> 00:04:04,020
135
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
136
+
137
+ 35
138
+ 00:04:16,230 --> 00:04:21,570
139
+ 5% ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ 50% ุนู„ู‰ ุงู„ุดู…ุงู„ ูŠุนู†ูŠ 5% ุฃู‚ู„ ูˆ 50%
140
+
141
+ 36
142
+ 00:04:21,570 --> 00:04:28,570
143
+ ุฃุนู„ู‰ ู„ู€ Q3 ู‚ูู„ุช
144
+
145
+ 37
146
+ 00:04:28,570 --> 00:04:43,370
147
+ ุซุงู„ุซุฉ ุฃูƒุณ ูŠุนู†ูŠ ุฃูƒุชุฑ Q3 ูู‚ุท 25 ู…ู† ุงู„ู…ู„ุงุญุธุงุช ุฃูƒุชุฑ ู…ู†
148
+
149
+ 38
150
+ 00:04:43,370 --> 00:04:53,420
151
+ ุซุงู„ุซุฉ ุฃูƒุชุฑูˆ 25% ุฃูƒุชุฑ ูˆ 75% ุฃูƒุชุฑ ุฅุฐุง ุงู„ู€ three
152
+
153
+ 39
154
+ 00:04:53,420 --> 00:04:58,300
155
+ quartiles Q1 ุงู„ูˆุงูุฑุณูŠ quartile in this case there
156
+
157
+ 40
158
+ 00:04:58,300 --> 00:05:03,740
159
+ are 25% of the observations are smaller 75% are
160
+
161
+ 41
162
+ 00:05:03,740 --> 00:05:10,820
163
+ greater or larger Q2 the value in the middle 50%
164
+
165
+ 42
166
+ 00:05:10,820 --> 00:05:17,310
167
+ below 50% aboveุงู„ู€ Q3 ูู‚ุท 25% ู…ู† ุงู„ุจูŠุงู†ุงุช ุฃูƒุชุฑ ู…ู†
168
+
169
+ 43
170
+ 00:05:17,310 --> 00:05:24,390
171
+ ุงู„ู€ Q3 ูˆ ุจุงู„ุชุฃูƒูŠุฏ 75% ุฃู‚ู„ ู…ู† ุงู„ู€ Q3 ูุงู„ุงู† ู„ุฏูŠู†ุง
172
+
173
+ 44
174
+ 00:05:24,390 --> 00:05:27,350
175
+ ุฃู…ูˆุงุช ุฌุฏูŠุฏุฉ ุญุชู‰ ุงู„ุขู† ู„ุฏูŠู†ุง ุซู„ุงุซุฉ ุฃู…ูˆุงุช ู…ุฎุชู„ูุฉ
176
+
177
+ 45
178
+ 00:05:27,350 --> 00:05:31,650
179
+ ุฃู…ูˆุงุช ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉ ู†ุญู† ู†ุชูƒู„ู… ุนู† ุงู„ู€ mean, median
180
+
181
+ 46
182
+ 00:05:31,650 --> 00:05:36,730
183
+ ูˆ mode ุซู… ู†ุญู† ู†ุชูƒู„ู… ุนู† ุฃู…ูˆุงุช ุซุงู†ูˆูŠุฉ ุฃู…ูˆุงุช ุงู„ุชุบูŠูŠุฑ
184
+
185
+ 47
186
+ 00:05:36,730 --> 00:05:44,860
187
+ ุฃูˆ ุฃู…ูˆุงุช ุงู„ุชุบูŠูŠุฑ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุบูŠูŠุฑุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
188
+
189
+ 48
190
+ 00:05:44,860 --> 00:05:47,320
191
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
192
+
193
+ 49
194
+ 00:05:47,320 --> 00:05:47,380
195
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
196
+
197
+ 50
198
+ 00:05:47,380 --> 00:05:47,480
199
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
200
+
201
+ 51
202
+ 00:05:47,480 --> 00:05:48,740
203
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ
204
+
205
+ 52
206
+ 00:05:48,740 --> 00:05:50,120
207
+ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุซ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ
208
+
209
+ 53
210
+ 00:05:50,120 --> 00:05:50,120
211
+ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ
212
+
213
+ 54
214
+ 00:05:50,120 --> 00:05:52,380
215
+ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ
216
+
217
+ 55
218
+ 00:05:52,380 --> 00:05:59,400
219
+ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠุณ
220
+
221
+ 56
222
+ 00:05:59,400 --> 00:06:02,960
223
+ ูˆุงู„ุชุญุฏูŠุณ
224
+
225
+ 57
226
+ 00:06:02,960 --> 00:06:10,400
227
+ ูˆุงู„ุชุญุฏูŠุณ ูˆุงู„ุชุญุฏูŠ
228
+
229
+ 58
230
+ 00:06:13,730 --> 00:06:17,810
231
+ ู…ุนู†ู‰ standard deviation ูƒู…ุง ุฃู† ู‡ุฐุง ูŠุนู†ูŠ standard
232
+
233
+ 59
234
+ 00:06:17,810 --> 00:06:28,870
235
+ deviation ูˆvariance ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุชุชุฃุซุฑ
236
+
237
+ 60
238
+ 00:06:28,870 --> 00:06:36,050
239
+ ู…ู† ุฎุทูˆุงุช ุฃูˆ ู‚ูŠู…ุฉ ุฃูƒุชุฑูŠู† ุจูŠู†ู…ุง ุฃูŠุถู‹ุง ุฃูŠุถู‹ุง ุงู„ู€
240
+
241
+ 61
242
+ 00:06:36,050 --> 00:06:41,800
243
+ rangeู‡ูŠ ุฃูŠุถู‹ุง ูƒู…ูŠุงุฑุฉ ุงู„ุชุบูŠูŠุฑ ู…ุคุซุฑุฉ ุนู„ู‰ ู‚ูŠู… ุฃูƒุชุฑูŠู†
244
+
245
+ 62
246
+ 00:06:41,800 --> 00:06:47,640
247
+ ูˆู„ูƒู† ุงู„ู€ Median ู„ูŠุณ
248
+
249
+ 63
250
+ 00:06:47,640 --> 00:06:52,340
251
+ ุฃูƒุชุฑ ุดุฎุตูŠุฉ ู„ู€ Outliers.
252
+
253
+ 64
254
+ 00:06:56,440 --> 00:07:00,000
255
+ ุงู„ุขู†ุŒ ู…ุงุฐุง ุนู† ุงู„ู…ูŠุฌุงุฑุงุช ุงู„ุฌุฏูŠุฏุฉุŸ ุฃุนู†ูŠุŒ ู…ุงุฐุง ุนู† ุงู„ู€
256
+
257
+ 65
258
+ 00:07:00,000 --> 00:07:07,540
259
+ QuartilesุŸ ู‡ู„ ุงู„ู€ Q1 ู…ุคุซุฑ ุฅู„ู‰ OutliersุŸูˆุดูˆู ุฃูŠุถู‹ุง
260
+
261
+ 66
262
+ 00:07:07,540 --> 00:07:10,340
263
+ ู†ูุณ ุงู„ุดูŠุก ุจุงู„ู†ุณุจุฉ ู„ู€ Q3 ุจุงู„ุชุฃูƒูŠุฏ Q2 ู„ูŠุณ ู…ู‡ุชู…ู‹ุง
264
+
265
+ 67
266
+ 00:07:10,340 --> 00:07:16,000
267
+ ู„ุฐู„ูƒ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ุตูุญุฉ ุงู„ุชุงู„ูŠุฉ ูˆู†ุฑู‰ ุฃูˆู„ู‹ุง
268
+
269
+ 68
270
+ 00:07:16,000 --> 00:07:23,140
271
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฅูŠุฌุงุฏ ู…ุฌู…ูˆุนุงุช ูˆุฅุฌุฑุงุก ู…ุฌู…ูˆุนุงุช ุชุฐูƒุฑ ุฃู†ู†ุง
272
+
273
+ 69
274
+ 00:07:23,140 --> 00:07:28,580
275
+ ุนู†ุฏู…ุง ุงุฌุฑุฃู†ุง ุงู„ู…ุฌู…ูˆุนุงุช ุฃูˆู„ู‹ุง ู†ุฌุฏ ุงู„ู…ุฌู…ูˆุนุงุช ู„ุฐู„ูƒ
276
+
277
+ 70
278
+ 00:07:28,580 --> 00:07:34,580
279
+ ุฑุฃูŠู†ุง ุขุฎุฑ ู…ุฑุฉ ู…ูƒุงู† ุงู„ู…ุฌู…ูˆุนุงุช ุซู… ู†ุชูƒู„ู… ุนู† ุงู„ู…ุฌู…ูˆุนุงุช
280
+
281
+ 71
282
+ 00:07:35,560 --> 00:07:38,060
283
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ู„ูŠ ู‡ู†ุง ู‡ูˆ ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ูˆุตูŠ ุงู„ู…ุฌู…ูˆุนุงุช
284
+
285
+ 72
286
+ 00:07:38,060 --> 00:07:43,820
287
+ ุซู… ู†ุณุชุฎุฏู… ุงู„ูƒู…ุจูŠูˆุช ู„ู„ู…ุฌู…ูˆุนุงุช ุฏุนูˆู†ุง ู†ุจุฏุฃ ุจุงู„ุฃูˆู„ ูƒูŠู
288
+
289
+ 73
290
+ 00:07:43,820 --> 00:07:48,880
291
+ ูŠู…ูƒู†ู†ุง ุฃู† ู†ูˆุตูŠ ุงู„ู…ุฌู…ูˆุนุงุช ุจุงู„ู…ุฌู…ูˆุนุงุช
292
+
293
+ 74
294
+ 00:07:48,880 --> 00:07:57,140
295
+ ุงู„ุฃูˆู„ู‰ ู…ูƒุงู† ุงู„ู…ุฌู…ูˆุนุงุช ู† ุจู„ุณ ูˆุงู† ุงูƒุชุฑ ู…ู† ุฃุฑุจุน ุงุฐุง
296
+
297
+ 75
298
+ 00:07:57,140 --> 00:08:01,400
299
+ ุชุฐูƒุฑ ุงู† ุงู„ู…ุฌู…ูˆุนุงุช ูƒุงู†ุช ู† ุจู„ุณ ูˆุงู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
300
+
301
+ 76
302
+ 00:08:01,400 --> 00:08:08,540
303
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑุงู„ูˆุถุน ู„ู€ Q1 ู‡ูˆ N Plus One Over
304
+
305
+ 77
306
+ 00:08:08,540 --> 00:08:14,740
307
+ Four ู†ู‚ู„ N Plus One By Four ู„ุฃู† ู„ุฏูŠู†ุง ูƒูˆุงุฑุชุงูŠู„ุŒ
308
+
309
+ 78
310
+ 00:08:14,740 --> 00:08:20,340
311
+ ู„ุฏูŠู†ุง ุฃุฑุจุน ุฃู‚ู„ ู‚ุทุนุŒ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ู‚ู„ N Plus One By
312
+
313
+ 79
314
+ 00:08:20,340 --> 00:08:25,420
315
+ Four ู„ุฐู„ูƒ ุงู„ูˆุถุน ู„ู€ Q1 ู‡ูˆ N Plus One Over Four ู„ุฐู„ูƒ
316
+
317
+ 80
318
+ 00:08:25,420 --> 00:08:28,520
319
+ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ู…ุฑุชุจุฉ ู…ู† ุงู„ุตุบูŠุฑ ุฅู„ู‰
320
+
321
+ 81
322
+ 00:08:28,520 --> 00:08:32,990
323
+ ุงู„ูƒุจูŠุฑู„ู„ู€ Median ุฃูˆ ุงู„ู‚ุทุน ุงู„ุซุงู†ูŠุฉ ุงู„ู‚ุทุน ุงู„ุซุงู†ูŠุฉ
324
+
325
+ 82
326
+ 00:08:32,990 --> 00:08:37,590
327
+ ุงู„ู‚ุทุน ู‡ูŠ ู†ูุณู‡ุง ูƒุงู„ู‚ุทุน ุงู„ู…ุตุทู„ุญ ู‡ูˆ N ุจู„ุณ ูˆุงุญุฏ ุนูƒุณ 2
328
+
329
+ 83
330
+ 00:08:37,590 --> 00:08:45,270
331
+ ูƒู…ุง ูุนู„ู†ุงู‡ ุงู„ุณุงุจู‚ู‹ุง ู„ู€ Q3 ุงู„ู…ูˆู‚ุน ู‡ูˆ ุงู„ุขู† Q3 ู‡ูˆ
332
+
333
+ 84
334
+ 00:08:45,270 --> 00:08:49,850
335
+ ุงู„ุซุงู„ุซ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ูƒู…ู„ ู‡ุฐุง ุจุงู„ุซู„ุงุซ ู„ุฐู„ูƒ ุซู„ุงุซ ู…ุฑุงุช
336
+
337
+ 85
338
+ 00:08:49,850 --> 00:08:55,870
339
+ N ุจู„ุณ ูˆุงุญุฏ ุนูƒุณ 4 ู‡ุฐู‡ ู‡ูŠ ุงู„ู…ูˆู‚ุน ู„ู„ู‚ุทุน ุงู„ุซุงู„ุซ ุงู„ุขู†
340
+
341
+ 86
342
+ 00:08:55,870 --> 00:09:03,360
343
+ ุฅุฐุง ูˆุฌู‡ุชุจุนุฏ ุฐู„ูƒ ุจุณู‡ูˆู„ุฉ ู†ุณุชุฎุฏู… ุงู„ู‚ูŠุงู…ุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ
344
+
345
+ 87
346
+ 00:09:03,360 --> 00:09:06,680
347
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
348
+
349
+ 88
350
+ 00:09:06,680 --> 00:09:07,040
351
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
352
+
353
+ 89
354
+ 00:09:07,040 --> 00:09:07,720
355
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
356
+
357
+ 90
358
+ 00:09:07,720 --> 00:09:08,200
359
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
360
+
361
+ 91
362
+ 00:09:08,200 --> 00:09:08,860
363
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
364
+
365
+ 92
366
+ 00:09:08,860 --> 00:09:11,260
367
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ
368
+
369
+ 93
370
+ 00:09:11,260 --> 00:09:12,660
371
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ๏ฟฝ๏ฟฝู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
372
+
373
+ 94
374
+ 00:09:12,660 --> 00:09:23,140
375
+ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
376
+
377
+ 95
378
+ 00:09:23,140 --> 00:09:24,400
379
+ ุงู„ู…ู†ุงุณุจุฉ ู„
380
+
381
+ 96
382
+ 00:09:27,250 --> 00:09:33,390
383
+ for these positions ุจุชุฌุณู… ุนุฏุฏ ุนู„ู‰ ุนุฏุฏ ูŠุงู…ุง ุจุทู„ุน
384
+
385
+ 97
386
+ 00:09:33,390 --> 00:09:40,410
387
+ ู…ุนุงูƒ ุนุฏุฏ ุตุญูŠุญ ูŠุงู…ุง ุจุทู„ุน ุญุฌุฉ ูˆ ู†ุต ูŠุงู…ุง ุจุทู„ุน ูƒุซูŠุฑ
388
+
389
+ 98
390
+ 00:09:40,410 --> 00:09:45,750
391
+ ูุงุญู†ุง ุนู†ุฏู†ุง ูˆุงุญุฏุฉ ู…ู† ุงู„ุชู„ุงุชุฉ ู…ุธุจูˆุท ู„ู…ุง ุงุฌุณู… ู…ุซู„ุง
392
+
393
+ 99
394
+ 00:09:45,750 --> 00:09:52,250
395
+ suppose n is nine ู„ูˆ ุจุฏู‰ ุงุญูƒูŠ n plus one over four
396
+
397
+ 100
398
+ 00:09:52,250 --> 00:09:59,150
399
+ ูŠุทู„ุน two point fiveู‡ุฐุง ู†ุณู…ูŠู‡ fraction of half ูƒุณุฑ
400
+
401
+ 101
402
+ 00:09:59,150 --> 00:10:08,370
403
+ ู†ุต ู…ู…ูƒู† ู„ูˆ ูƒุงู†ุช n equal 10 10
404
+
405
+ 102
406
+ 00:10:08,370 --> 00:10:16,690
407
+ plus 1 for example over 4 11 over 4 ูƒุฏู‡ุŸ ู‡ุฐูˆู„
408
+
409
+ 103
410
+ 00:10:16,690 --> 00:10:25,160
411
+ 11 ุนู„ู‰ 4 ุฏูŠ ู‡ู… 75 ูˆ ุฃูƒุชุฑ ู…ุนูŠ fraction ู…ุด ู†ุตู…ู…ูƒู†
412
+
413
+ 104
414
+ 00:10:25,160 --> 00:10:32,520
415
+ ูŠุทู„ุน ุฃุญูŠุงู†ุง 2.75 ู…ู…ูƒู† ูŠุทู„ุน 2.5 ู…ู…ูƒู† ุฃุญูŠุงู†ุง ูŠุทู„ุน 2
416
+
417
+ 105
418
+ 00:10:32,520 --> 00:10:38,500
419
+ ู…ู…ูƒู† ูŠุทู„ุน
420
+
421
+ 106
422
+ 00:10:38,500 --> 00:10:47,860
423
+ 2.7 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู†
424
+
425
+ 107
426
+ 00:10:47,860 --> 00:10:49,480
427
+ ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2
428
+
429
+ 108
430
+ 00:10:49,480 --> 00:10:51,640
431
+ ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู†
432
+
433
+ 109
434
+ 00:10:51,640 --> 00:10:51,640
435
+ ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2
436
+
437
+ 110
438
+ 00:10:51,640 --> 00:10:51,640
439
+ ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู†
440
+
441
+ 111
442
+ 00:10:51,640 --> 00:10:54,640
443
+ ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2 ู…ู…ูƒู† ูŠุทู„ุน 2.2if the result
444
+
445
+ 112
446
+ 00:10:54,640 --> 00:11:03,140
447
+ is a whole number ูŠุนู†ูŠ ุนุฏุฏ ุตุญูŠุญ if the result is a
448
+
449
+ 113
450
+ 00:11:03,140 --> 00:11:05,820
451
+ whole number then it is the rank position to use
452
+
453
+ 114
454
+ 00:11:05,820 --> 00:11:09,940
455
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ู„ูˆ ุทู„ุน ู…ุนูŠ ุฒูŠ ูƒุฏู‡ ุงุชู†ูŠู† ุจุณุชุฎุฏู… ุงู„ู…ูƒุงู†
456
+
457
+ 115
458
+ 00:11:09,940 --> 00:11:14,220
459
+ ุงู„ุชุงู†ูŠ ุนู„ู‰ ููˆุฑูŠ ุจุฃุฎุฏู‡ ุงู„ู…ูˆู‚ุน ุงู„ุชุงู†ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„
460
+
461
+ 116
462
+ 00:11:14,220 --> 00:11:17,480
463
+ quarterly ุฒูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ if the result is a
464
+
465
+ 117
466
+ 00:11:17,480 --> 00:11:23,360
467
+ fractional halfุฒูŠ 2.5, 7.5 and so on then average
468
+
469
+ 118
470
+ 00:11:23,360 --> 00:11:27,400
471
+ the two corresponding data values ู…ุงุนู†ุฏูŠุด ุงุชู†ูŠู† ูˆ
472
+
473
+ 119
474
+ 00:11:27,400 --> 00:11:31,520
475
+ ู†ุต ุจุงุฎุฏ ุงูŠุดุŸ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุชู„ุงุชุฉ ูˆ ุจุงุฎุฏ ุงู„ู‚ูŠู… ุชุจุนุชู‡ุง
476
+
477
+ 120
478
+ 00:11:31,520 --> 00:11:37,100
479
+ ูˆ ุจุชุงุฎุฏ ุงู„ average ุชุจุนุชู‡ุง ูŠุนู†ูŠ ู„ูˆ ุทู„ุน ุงู†ุฏุฑ 14 ูˆ 15
480
+
481
+ 121
482
+ 00:11:37,100 --> 00:11:44,500
483
+ ูˆ 16 ุทู„ุน ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ู‡ุชุงุฎุฏ ู…ูŠู†ุŸ ุงู„ 15 ูˆ ุงู„ 16
484
+
485
+ 122
486
+ 00:11:44,500 --> 00:11:49,360
487
+ ูˆ ุงู„ average ุชุจุนู‡ุงุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู†ุชูŠุฌุฉ ู†ู…ุจุฑ ูƒุงู… ุฃูˆ
488
+
489
+ 123
490
+ 00:11:49,360 --> 00:11:50,160
491
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
492
+
493
+ 124
494
+ 00:11:50,160 --> 00:11:55,720
495
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
496
+
497
+ 125
498
+ 00:11:55,720 --> 00:11:55,720
499
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
500
+
501
+ 126
502
+ 00:11:55,720 --> 00:11:59,300
503
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
504
+
505
+ 127
506
+ 00:11:59,300 --> 00:12:03,200
507
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
508
+
509
+ 128
510
+ 00:12:03,200 --> 00:12:05,420
511
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ
512
+
513
+ 129
514
+ 00:12:05,420 --> 00:12:14,360
515
+ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…ุจุฑ ู†ู…
516
+
517
+ 130
518
+ 00:12:15,970 --> 00:12:20,070
519
+ ุฎู„ู‘ู‰ ุจุงูƒ ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† ุงู„ positions ุงู„ู…ูƒุงู† ุงู„ู…ูˆุถูˆุน
520
+
521
+ 131
522
+ 00:12:20,070 --> 00:12:26,470
523
+ ู…ุด ุงู„ location ู…ุด ุงู„ values ุฅุฐุง ู‡ุฏูˆู„ ู‡ุงูŠ ุงู„
524
+
525
+ 132
526
+ 00:12:26,470 --> 00:12:30,090
527
+ positions ุงู„ positions could be either whole
528
+
529
+ 133
530
+ 00:12:30,090 --> 00:12:33,150
531
+ number if it is whole number just use it as it is
532
+
533
+ 134
534
+ 00:12:33,150 --> 00:12:37,610
535
+ if it is fractional half ุฎุฏ ุงู„ average for the two
536
+
537
+ 135
538
+ 00:12:37,610 --> 00:12:42,990
539
+ middle pointsุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู†ุชุงุฆุฌ ุฑู‚ู… ูƒุงู… ุฃูˆ ู†ุตู ู†ุตู
540
+
541
+ 136
542
+ 00:12:42,990 --> 00:12:47,370
543
+ ูู‚ุท ุญูˆู„ ุงู„ู†ุชุงุฆุฌ ุฅู„ู‰ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุฃู‚ุฑุจ ู„ูƒูŠ ุชุฌุฏ ู…ูˆู‚ุน
544
+
545
+ 137
546
+ 00:12:47,370 --> 00:12:50,510
547
+ ุงู„ุฑู‚ู… ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
548
+
549
+ 138
550
+ 00:13:01,450 --> 00:13:05,530
551
+ ู„ูˆ ู‡ูˆ ุงู„ุชุงู„ุช ุนู†ุฏูƒ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงู„ุงูˆู„ ุดูˆู ูƒูŠู
552
+
553
+ 139
554
+ 00:13:05,530 --> 00:13:09,930
555
+ ุชุนู…ู„ ุงูŠู‡ ู‡ูˆู† ุงู„ุงูˆู„ n plus one over four ู…ุธ๏ฟฝ๏ฟฝูˆุท ู‡ุฐุง
556
+
557
+ 140
558
+ 00:13:09,930 --> 00:13:15,990
559
+ ู…ูŠู† ุงูŠ one ูˆ Q2 ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ู…ูุฑูˆุถ ุงู„ู„ูŠ ุจุนุฏู‡
560
+
561
+ 141
562
+ 00:13:15,990 --> 00:13:20,990
563
+ ู…ูุฑูˆุถ n plus one over four plus n plus one over
564
+
565
+ 142
566
+ 00:13:20,990 --> 00:13:27,350
567
+ four ุจุทู„ุน ุนูŠุด ุงู†ู‡ ุฑุจุน ุฑุจุน ู†ุต ูุจุทู„ุน ู‡ุฐุง n plus one
568
+
569
+ 143
570
+ 00:13:27,350 --> 00:13:36,510
571
+ over twoุงู„ู„ูŠ ุจุนุฏู‡ n plus one over four four equal
572
+
573
+ 144
574
+ 00:13:36,510 --> 00:13:40,330
575
+ segments ู‡ุฏูˆู„ ุฌู…ุนุชูŠู‡ู… ูƒุฃู†ูƒ ุถุฑุจุชูŠ ููŠ ุชู„ุงุชุฉ
576
+
577
+ 145
578
+ 00:14:00,810 --> 00:14:05,090
579
+ keep in mind to find the median and these measures
580
+
581
+ 146
582
+ 00:14:05,090 --> 00:14:10,030
583
+ of quartiles you have to have ordered array ู„ุงุฒู…
584
+
585
+ 147
586
+ 00:14:10,030 --> 00:14:14,290
587
+ ูŠูƒูˆู† ุนู†ุฏูƒ ู‚ูŠู… ู…ุฑุชุจุฉ ูŠุนู†ูŠ ู…ุงูŠู†ูุนุด ุงุดุชุบู„ ู‚ูŠู… ู…ุด
588
+
589
+ 148
590
+ 00:14:14,290 --> 00:14:18,290
591
+ ู…ุฑุชุจุฉ ูˆ ุงุทู„ุน ูˆ ุงุดุชุบู„ ุงู„ุดุบู„ ู…ุด ุตุญ ู„ุงุฒู… ูู„ุงู‡ ูˆู„ุง
592
+
593
+ 149
594
+ 00:14:18,290 --> 00:14:23,890
595
+ ุงุฑุชุจู‡ู… ุงุญูŠุงู†ุง ุงู„ example ุงู„ู„ูŠ ุนู†ุฏู‰ sample data in
596
+
597
+ 150
598
+ 00:14:23,890 --> 00:14:27,210
599
+ ordered array ู…ุฑุชุจูƒ ุงูŠุงู‡ู… ูŠุนู†ูŠ ู„ูˆ ู…ุด ู…ุฑุชุจุงุช ููŠ
600
+
601
+ 151
602
+ 00:14:27,210 --> 00:14:33,520
603
+ ุงู„ุฃุตู„ ู„ุงุฒู… ุงุฑุชุจู‡ู…ูˆุงุถุญุŸ ูŠุนู†ูŠ ู…ู…ูƒู† ุชุดูŠุฑู‡ุง ุตุญ ุจุณ
604
+
605
+ 152
606
+ 00:14:33,520 --> 00:14:38,520
607
+ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ู…ุด ุตุญ ูุงู„ุดุบู„ ูƒู„ู‡ ู…ุด ุตุญ ุฎู„ุงุต suppose
608
+
609
+ 153
610
+ 00:14:38,520 --> 00:14:47,500
611
+ we have this ordered really eleven twelve thirteen
612
+
613
+ 154
614
+ 00:14:47,500 --> 00:14:52,640
615
+ sixteen seventeen eighteen
616
+
617
+ 155
618
+ 00:14:57,730 --> 00:15:02,870
619
+ ุงู„ุขู† ู„ุฏุฑุงุณุฉ ุตุบูŠุฑุฉ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ู† ูŠู‚ู„ 9 ุงู„ุงู† ุฃูˆู„
620
+
621
+ 156
622
+ 00:15:02,870 --> 00:15:08,910
623
+ ู‚ุทุน ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู…ูˆู‚ุน ุงู„ู…ูˆู‚ุน ุงู„ุฃูˆู„ ู…ูˆู‚ุน ุงู„ู…ูˆู‚ุน
624
+
625
+ 157
626
+ 00:15:08,910 --> 00:15:16,910
627
+ ุงู„ุฃูˆู„ ู† ุจู„ุณ ูˆุงู† ุฃูˆุฑ ููˆุฑ ู† ุจู„ุณ ูˆุงู† ุฃูˆุฑ ููˆุฑ ุชุณุนุฉ ู†ูŠู†
628
+
629
+ 158
630
+ 00:15:16,910 --> 00:15:21,470
631
+ ุจู„ุณ ูˆุงู† ุฃูˆุฑ ููˆุฑ ุงุชู†ูŠู† ูˆ ู†ุตู ุงุชู†ูŠู† ูˆ ู†ุตู ูŠุนู†ูŠ ู‡ู†ุง
632
+
633
+ 159
634
+ 00:15:21,470 --> 00:15:22,950
635
+ ู…ุธู‡ุฑุŸ
636
+
637
+ 160
638
+ 00:15:24,650 --> 00:15:28,790
639
+ ุฃู†ุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุชู†ูŠู† ูˆ ู†ุต ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ู‡ุงุฎุฏ
640
+
641
+ 161
642
+ 00:15:28,790 --> 00:15:35,170
643
+ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุชู„ุงุชุฉ ุนุดุฑ ุงุฐุง ู…ุน ูƒุฏู‡ Q1 ุงุฐุง ู‡ุฐุง ุนุจุงุฑุฉ
644
+
645
+ 162
646
+ 00:15:35,170 --> 00:15:42,010
647
+ ุนู† ุงูŠุด ุงู„ location ุงู„ position or location ูˆุงุถุญ
648
+
649
+ 163
650
+ 00:15:42,010 --> 00:15:45,830
651
+ ุงู„ุงุชู†ูŠู† ูˆ ู†ุต ุงู„ู…ูƒุงู† ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ ุจุนู…ู„ู‡ ุจุงุฎุฏ
652
+
653
+ 164
654
+ 00:15:45,830 --> 00:15:55,570
655
+ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุชู„ุงุชุฉ ุนุดุฑ ู‡ุงุชู†ูŠู†ุฅุฐุง ุงู„ Q1 ุนุจุงุฑุฉ ุนู† 12
656
+
657
+ 165
658
+ 00:15:55,570 --> 00:15:59,170
659
+ ูˆ ู†ุตู
660
+
661
+ 166
662
+ 00:15:59,170 --> 00:16:03,610
663
+ ุงู„ู„ูŠ
664
+
665
+ 167
666
+ 00:16:03,610 --> 00:16:13,290
667
+ ุจูŠุทู„ุน ุงูƒูŠุฏ ู‡ูˆ N plus one over ูˆ
668
+
669
+ 168
670
+ 00:16:13,290 --> 00:16:19,490
671
+ ู‡ู†ุง ููŠ ู‡ุฐู‡ ู…ุง ุฃู†ุง ุญูƒูŠุช ุฃู†ุง ุบู†ูŠุชู‡ุง ู…ู† ุงู„ุฃูˆู„ู„ูˆ ูƒุงู†ุช
672
+
673
+ 169
674
+ 00:16:19,490 --> 00:16:23,310
675
+ 2.5 ุจุงุฎุฏ ุงู„ู€ average of the two corresponding data
676
+
677
+ 170
678
+ 00:16:23,310 --> 00:16:29,750
679
+ values ูŠุนู†ูŠ ุฏุงุฆู…ุง ุจุงุฎุฏู‡ุง ุฒูŠ ู‡ุฐู‡ ุงู„ู€ Q2 N plus one
680
+
681
+ 171
682
+ 00:16:29,750 --> 00:16:36,070
683
+ over four over two ุงู„ู„ูŠ ู‡ูŠ ten over two is five
684
+
685
+ 172
686
+ 00:16:36,070 --> 00:16:39,790
687
+ now five is a whole number ุงู„ู‚ูŠู…ุฉ ุงู„ุฎู…ุณุฉ ุจุงุฎุฏู‡ุง ุฒูŠ
688
+
689
+ 173
690
+ 00:16:39,790 --> 00:16:43,730
691
+ ู…ุง ู‡ูŠ ุฏู‡ ูู‡ุฐู‡ Q2
692
+
693
+ 174
694
+ 00:16:48,350 --> 00:17:00,070
695
+ ุฃูˆ for Q3 3 plus N plus 1 over 4 ุจุทู„ุน 7.5 one
696
+
697
+ 175
698
+ 00:17:00,070 --> 00:17:05,990
699
+ two three four five six seven point five ุจุงุฎุฏ 18
700
+
701
+ 176
702
+ 00:17:05,990 --> 00:17:12,790
703
+ ูˆุงู„ูˆุงุญุฏ ูˆุนุดุฑูŠู† ุงุชู†ูŠู†
704
+
705
+ 177
706
+ 00:17:12,790 --> 00:17:17,010
707
+ ุจุทู„ุน
708
+
709
+ 178
710
+ 00:17:17,010 --> 00:17:17,950
711
+ 19.5
712
+
713
+ 179
714
+ 00:17:21,570 --> 00:17:27,390
715
+ ูƒู…ุง ู†ุนู„ู… ุฃู† ุงู„ู€ Q2 ู‡ูˆ ู…ูŠุฒุฉ ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉ ุงู„ู€ Q1 ูˆ
716
+
717
+ 180
718
+ 00:17:27,390 --> 00:17:31,630
719
+ Q3 ู‡ูŠ ู…ูŠุฒุฉ ู…ุฑูƒุฒูŠุฉ ู…ุฑูƒุฒูŠุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ
720
+
721
+ 181
722
+ 00:17:31,630 --> 00:17:36,010
723
+ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ
724
+
725
+ 182
726
+ 00:17:36,010 --> 00:17:39,710
727
+ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ
728
+
729
+ 183
730
+ 00:17:39,710 --> 00:17:41,310
731
+ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ
732
+
733
+ 184
734
+ 00:17:41,310 --> 00:17:42,530
735
+ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ
736
+
737
+ 185
738
+ 00:17:42,530 --> 00:17:44,650
739
+ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ
740
+
741
+ 186
742
+ 00:17:44,650 --> 00:17:46,650
743
+ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉ ู„ูŠุณ ู…ูˆุฌูˆุฏุฉ ููŠ
744
+
745
+ 187
746
+ 00:17:46,650 --> 00:17:53,690
747
+ ู…ูˆู‚ุนู‡ุง ูู‡ูŠ ู…ูŠุฒุฉุงู„ุงู† ุงู„ุณุคุงู„ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู…
748
+
749
+ 188
750
+ 00:17:53,690 --> 00:18:00,910
751
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุงุช ู„ูƒูŠ ู†ู‚ุฑุฑ ู…ุณุชูˆู‰ ู…ุณุชูˆู‰ ุงู„ุจูŠุงู†ุงุช ูƒูŠู
752
+
753
+ 189
754
+ 00:18:00,910 --> 00:18:05,430
755
+ ุฃุณุชุฎุฏู…ู‡ู… ุนุดุงู† ุฃุญุณุจ ุงู„ุชุดุชุฉ ุชุฐูƒุฑ ุนู†ุฏู…ุง ุญูƒูŠู†ุง ุนู† ุงู„
756
+
757
+ 190
758
+ 00:18:05,430 --> 00:18:12,330
759
+ rangeุŸ ุงู„ range ูƒุงู† ุนุจุงุฑุฉ ุนู† ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู…ู† ุฃูƒุชุฑ
760
+
761
+ 191
762
+ 00:18:12,330 --> 00:18:12,970
763
+ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ
764
+
765
+ 192
766
+ 00:18:12,970 --> 00:18:18,750
767
+ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„
768
+
769
+ 193
770
+ 00:18:18,750 --> 00:18:19,390
771
+ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ
772
+
773
+ 194
774
+ 00:18:19,390 --> 00:18:20,390
775
+ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ูˆู‚ุจู„ ุฃูƒุชุฑ ู‚ูŠู…ุฉ
776
+
777
+ 195
778
+ 00:18:20,390 --> 00:18:24,540
779
+ ูˆู‚ุจู„ุงู„ุงู† ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰
780
+
781
+ 196
782
+ 00:18:24,540 --> 00:18:31,240
783
+ ู„ุง ุชุชุฃุซุฑ ู…ู† ู‚ูŠู… ุฃูƒุชุฑูŠู† ูƒูŠู ู…ู…ูƒู† ู†ุฏูˆุฑ ุนู„ู‰ ู…ู‚ูŠุงุณุŒ
784
+
785
+ 197
786
+ 00:18:31,240 --> 00:18:34,180
787
+ ู„ุฃู† ุงู„ู€ variability ู…ุง ูŠุชุฃุซุฑุด ุจู‚ูŠู… ุงู„ุดู‡ุฑุŒ ุงุญู†ุง
788
+
789
+ 198
790
+ 00:18:34,180 --> 00:18:41,780
791
+ ุญูƒูŠู†ุง ุงู„ mean ุจุชุฃุซุฑ ู…ุธุจูˆุทุŒ ุงู„ median ู…ุงุจุชุฃุซุฑุดุŒ ุทุจ
792
+
793
+ 199
794
+ 00:18:41,780 --> 00:18:46,160
795
+ ุงู„ range ุจุชุฃุซุฑุŒ ู…ูŠู† ู…ู‚ุงุจู„ู„ู‡ุŒ ู‡ุฐุง ู‡ู†ุดุฑุญู„ู‡ ุงู„ุขู†ุŒ
796
+
797
+ 200
798
+ 00:18:46,160 --> 00:18:52,470
799
+ ูŠุนู†ูŠ ุนู†ุฏ ุดูˆู rangeุŒ ู…ุงุจุชุฃุซุฑุด ุจุงู„ extreme valuesู‡ุฐู‡
800
+
801
+ 201
802
+ 00:18:52,470 --> 00:18:56,730
803
+ ุงู„ูุฑู‚ู‡ ุชุณู…ู‰ ุงู„ู€ Inter Quartile Range Inter
804
+
805
+ 202
806
+ 00:18:56,730 --> 00:19:06,290
807
+ Quartile Range ู‡ู†ุดูˆู ุฏููŠู†ูŠุดู† ุชุจุนู‡ Inter
808
+
809
+ 203
810
+ 00:19:06,290 --> 00:19:11,770
811
+ Quartile
812
+
813
+ 204
814
+ 00:19:11,770 --> 00:19:14,910
815
+ Range IQR
816
+
817
+ 205
818
+ 00:19:18,700 --> 00:19:20,980
819
+ ุงู„ู€ range was maximum minus minimum or largest
820
+
821
+ 206
822
+ 00:19:20,980 --> 00:19:27,720
823
+ minus smallest ุงู„ IQR I I I ู‡ู†ุง while Q while R
824
+
825
+ 207
826
+ 00:19:27,720 --> 00:19:37,860
827
+ IQR equals Q3 minus Q1 so IQR is the difference
828
+
829
+ 208
830
+ 00:19:37,860 --> 00:19:41,860
831
+ between the first quartile and the third quartile
832
+
833
+ 209
834
+ 00:19:41,860 --> 00:19:47,720
835
+ ู…ู† ุงู„ุณูู„ ุจูŠู†ู‡ู… ู…ู† Q3 ูˆ Q1 it's called IQR this
836
+
837
+ 210
838
+ 00:19:47,720 --> 00:19:54,890
839
+ measureู‡ุฐุง ูŠู‚ูˆู… ุจุชุญุฑูŠูƒ 50% ู…ู† ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุชูˆุณุทุฉ
840
+
841
+ 211
842
+ 00:19:54,890 --> 00:19:59,670
843
+ ูŠุนู†ูŠ ู‡ู†ุงูƒ ุงุณุชุดุงุฑุฉ ู„ูŠุณุช ูƒู„ ุงู„ู‚ูŠุงู… ุจุณ ุงู„ููŠ ุงู„ู†ุตู
844
+
845
+ 212
846
+ 00:19:59,670 --> 00:20:07,670
847
+ ู„ุญุธุฉ I smallest U1
848
+
849
+ 213
850
+ 00:20:07,670 --> 00:20:16,010
851
+ median U3 largest ุงู„ IQ ุฃุฎุฑู‰ ุฃุฎุฐูˆุง ูŠุนู†ูŠ ุงู„
852
+
853
+ 214
854
+ 00:20:16,010 --> 00:20:22,220
855
+ distance ุจุณ ู‡ุฐุงู…ุน ูƒุฏู‡ ู‡ูˆ ุงุชุนุงู…ู„ ู…ุน ุงูŠุงุด ู…ุน fifty
856
+
857
+ 215
858
+ 00:20:22,220 --> 00:20:28,380
859
+ percent of the data ู…ุด ู‡ูŠูƒุŸ
860
+
861
+ 216
862
+ 00:20:28,380 --> 00:20:33,220
863
+ this means IQR ignores the smallest and the
864
+
865
+ 217
866
+ 00:20:33,220 --> 00:20:36,560
867
+ largest values it means this measure is not
868
+
869
+ 218
870
+ 00:20:36,560 --> 00:20:41,080
871
+ influenced by extreme valuesู…ุธุจูˆุท ู‡ูˆ ุงุชุฌุงู‡ ุงู„ู‚ูŠู…
872
+
873
+ 219
874
+ 00:20:41,080 --> 00:20:44,740
875
+ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„ุตุบูŠุฑุฉ ุฌุฏุง ูˆ ุงู„ูƒุจูŠุฑุฉ ุฌุฏุง ุจุนุฏ ูƒุฏู‡
876
+
877
+ 220
878
+ 00:20:44,740 --> 00:20:50,100
879
+ ุงู„ IQR just focus on the middle 50% it means it's
880
+
881
+ 221
882
+ 00:20:50,100 --> 00:20:52,640
883
+ not influenced by extreme values ุฅุฐุง ุงู„ IQR
884
+
885
+ 222
886
+ 00:20:52,640 --> 00:20:57,100
887
+ ุจูŠุชุฃุซุฑุด ุจุงู„ู‚ูŠู… ุงู„ุดุงุฏุฉ ู…ุนู†ุงู‡ ูƒุฏู‡ if the data has an
888
+
889
+ 223
890
+ 00:20:57,100 --> 00:21:01,100
891
+ output layer then we can use IQR as a measure of
892
+
893
+ 224
894
+ 00:21:01,100 --> 00:21:04,680
895
+ spread instead of using the range ุฅุฐุง ุจุณุชุฎุฏู… IQR
896
+
897
+ 225
898
+ 00:21:04,680 --> 00:21:10,390
899
+ ุจุฏู„ ู…ู† ุงู„ู…ุฏุฑุงู„ู€ IQR ู‡ูŠ ุนู…ูŠู„ุฉ ุชุบูŠูŠุฑ ุงู„ูˆุถุน ู…ุซู„ ุงู„ู€
900
+
901
+ 226
902
+ 00:21:10,390 --> 00:21:17,270
903
+ Range ุงู„ุชูŠ ู„ูŠุณุช ุชุฃุซูŠุฑุง ุนู„ู‰ ุฃุนู„ู‰ ุฃูˆ ุฃุนู„ู‰ ู‚ูŠู… ุฃุฎุฑู‰
904
+
905
+ 227
906
+ 00:21:17,270 --> 00:21:21,070
907
+ ุงู„ู€ IQR
908
+
909
+ 228
910
+ 00:21:21,070 --> 00:21:24,550
911
+ ุนุจุงุฑุฉ
912
+
913
+ 229
914
+ 00:21:24,550 --> 00:21:25,950
915
+ ุนู† Q3-Q1
916
+
917
+ 230
918
+ 00:21:30,620 --> 00:21:34,800
919
+ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ุฃูŠุถู‹ุง ู„ุง ูŠุชุฃุซุฑูˆู† ู…ู†
920
+
921
+ 231
922
+ 00:21:34,800 --> 00:21:39,780
923
+ ู‡ุฐู‡ ุงู„ู‚ูŠู…. ูุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุงุชู†ูŠู† ู‡ูˆ ุฅุฐุง ู‡ูˆ ู…ุชุฃุซุฑุดุŒ
924
+
925
+ 232
926
+ 00:21:39,780 --> 00:21:44,000
927
+ ู…ุน ูƒุฏู‡ ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ู†ูุณู‡ุง ู…ุงุชุชุฃุซุฑุด. ุฅุฐุง ุงู„ู‚ูŠุงู…ุฉ
928
+
929
+ 233
930
+ 00:21:44,000 --> 00:21:51,160
931
+ ู…ุซู„ ุงู„ู€ Q1 ูˆ ุงู„ู€ Q3 ูˆ IQR ู„ู… ูŠุชุฃุซุฑูˆุง ู…ู† ู‚ูŠู… ุฃุนุธู…ุŒ
932
+
933
+ 234
934
+ 00:21:51,160 --> 00:21:56,040
935
+ ูู‡ุฐู‡ ุงู„ู‚ูŠุงู…ุฉ ุชุณู…ู‰ ู‚ูŠุงู…ุฉ ู…ู‚ุงูˆู…ุฉ.ุฅุฐุง ุงู„ู€ measures
936
+
937
+ 235
938
+ 00:21:56,040 --> 00:21:59,660
939
+ which are not influenced by outliers we call it
940
+
941
+ 236
942
+ 00:21:59,660 --> 00:22:05,300
943
+ resistant measures ู…ู‚ูŠูŠุณุŸู…ุด ู…ุนู†ู‰ resistantุŸู‚ุงูˆู…ุฉ
944
+
945
+ 237
946
+ 00:22:05,300 --> 00:22:09,420
947
+ ูŠุนู†ูŠ ู‚ุงูˆู… ุงู„ุฃูˆุชูŠุฑ either it remains in the same
948
+
949
+ 238
950
+ 00:22:09,420 --> 00:22:12,540
951
+ position or nearly in the same position ูŠุนู†ูŠ ุจุชุงู†
952
+
953
+ 239
954
+ 00:22:12,540 --> 00:22:17,400
955
+ ุชู‚ุฑูŠุจุง ููŠ ู†ูุณ ุงู„ู…ูƒุงู† ุฃูˆ ู…ู…ูƒู† ุดูˆูŠุฉ ู…ุด ูƒุชูŠุฑ ู…ุด ูƒุฏู‡
956
+
957
+ 240
958
+ 00:22:17,400 --> 00:22:20,860
959
+ ุจู†ุงูƒูˆู† ู†ุญูƒูŠ ุนู„ูŠู‡ุง less sensitive by extreme values
960
+
961
+ 241
962
+ 00:22:20,860 --> 00:22:30,490
963
+ so now we have some measuresูˆ ุฏุนูˆู†ุง ู†ู‚ุฑุฑ ุจูŠู† ู‡ุฐู‡
964
+
965
+ 242
966
+ 00:22:30,490 --> 00:22:36,270
967
+ ุงู„ู…ุฌุงู„ุงุช ุงู„ุชูŠ ุชุณุชุฎุฏู…ู‡ุง ููŠ ุญุงู„ุฉ ูˆุฌูˆุฏ ุฎุทูˆุท ุฎุงุฑู‚ุฉ ู„ูˆ
968
+
969
+ 243
970
+ 00:22:36,270 --> 00:22:43,110
971
+ ูƒุงู† ููŠ ุนู†ุฏ ู‚ูŠู… ุดุฏู‚ ุฃุดูˆู ู…ูŠู† ุฃุณุชุฎุฏู… ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„
972
+
973
+ 244
974
+ 00:22:43,110 --> 00:22:47,310
975
+ ุงู„ู…ุซุงู„ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุฎุทูˆุท ุฎุงุฑู‚ุฉ ุฃูˆ ู„ุง ู„ุฏูŠู†ุง ุฎุทูˆุท
976
+
977
+ 245
978
+ 00:22:47,310 --> 00:22:55,890
979
+ ุฎุงุฑู‚ุฉ ุฎุทูˆุท ุฎุงุฑู‚ุฉ ู†ุนู… ู‡ู†ุงูƒ ุฎุทูˆุท ุฎุงุฑู‚ุฉ ุฃูˆุฃูˆ ู…ุฌู…ูˆุนุงุช
980
+
981
+ 246
982
+ 00:22:55,890 --> 00:23:06,710
983
+ ุบูŠุฑ ู…ูˆุฌูˆุฏุฉ ู†ุญู† ู†ุชูƒู„ู… ุนู† ู…ูŠุงู† ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
984
+
985
+ 247
986
+ 00:23:06,710 --> 00:23:06,750
987
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
988
+
989
+ 248
990
+ 00:23:06,750 --> 00:23:08,550
991
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
992
+
993
+ 249
994
+ 00:23:08,550 --> 00:23:12,450
995
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
996
+
997
+ 250
998
+ 00:23:12,450 --> 00:23:12,450
999
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
1000
+
1001
+ 251
1002
+ 00:23:12,450 --> 00:23:12,450
1003
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
1004
+
1005
+ 252
1006
+ 00:23:12,450 --> 00:23:12,570
1007
+ ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง ู…ูŠุฏูŠุง
1008
+
1009
+ 253
1010
+ 00:23:26,110 --> 00:23:33,430
1011
+ IQR ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ู„ุฏูŠู‡ุง ุฎู„ุท ุฎู„ุท ุฎู„ุท ู…ุณุชุฎุฏู…
1012
+
1013
+ 254
1014
+ 00:23:33,430 --> 00:23:38,210
1015
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1016
+
1017
+ 255
1018
+ 00:23:38,210 --> 00:23:38,990
1019
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1020
+
1021
+ 256
1022
+ 00:23:38,990 --> 00:23:38,990
1023
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1024
+
1025
+ 257
1026
+ 00:23:38,990 --> 00:23:39,350
1027
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1028
+
1029
+ 258
1030
+ 00:23:39,350 --> 00:23:40,650
1031
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1032
+
1033
+ 259
1034
+ 00:23:40,650 --> 00:23:42,430
1035
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู…
1036
+
1037
+ 260
1038
+ 00:23:42,430 --> 00:23:52,730
1039
+ ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…ุณุชุฎุฏู… ู…
1040
+
1041
+ 261
1042
+ 00:23:54,340 --> 00:24:05,260
1043
+ ุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ููŠ ุญุงู„ุฉ ุงุฎุฑุงุฌุงุช ุงูˆ ู„ุง ู„ุฐู„ูƒ
1044
+
1045
+ 262
1046
+ 00:24:05,260 --> 00:24:11,500
1047
+ ูŠุฌุจ ุงู† ู†ุงู‚ุต ุงุณุชุฎุฏุงู… ุงู„ุทุฑูŠู‚ุฉ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1048
+
1049
+ 263
1050
+ 00:24:11,500 --> 00:24:13,280
1051
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1052
+
1053
+ 264
1054
+ 00:24:13,280 --> 00:24:16,760
1055
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1056
+
1057
+ 265
1058
+ 00:24:16,760 --> 00:24:17,780
1059
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1060
+
1061
+ 266
1062
+ 00:24:17,780 --> 00:24:17,860
1063
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1064
+
1065
+ 267
1066
+ 00:24:17,860 --> 00:24:17,860
1067
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1068
+
1069
+ 268
1070
+ 00:24:17,860 --> 00:24:17,860
1071
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1072
+
1073
+ 269
1074
+ 00:24:17,860 --> 00:24:17,860
1075
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1076
+
1077
+ 270
1078
+ 00:24:17,860 --> 00:24:23,780
1079
+ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุช
1080
+
1081
+ 271
1082
+ 00:24:24,480 --> 00:24:33,240
1083
+ ู…ุด ุนู†ุฏูŠ ู‚ูŠู… ุดุงุฏุฉ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ูŠู† ุจุณุชุฎุฏู…ู‡ ู…ุด ู‡ูŠูƒ ูˆ
1084
+
1085
+ 272
1086
+ 00:24:33,240 --> 00:24:41,180
1087
+ avoid using the median ูˆ ุจุณุชุฎุฏู… ุงู„ range ูˆ ุจุณุชุฎุฏู…
1088
+
1089
+ 273
1090
+ 00:24:41,180 --> 00:24:43,260
1091
+ ุงู„ variance ูˆ ุงู„ standard deviation ูˆ ุงู„ู‡ูŠุงู† ูˆ
1092
+
1093
+ 274
1094
+ 00:24:43,260 --> 00:24:51,080
1095
+ ุงู„ุชู„ุงุชุฉ ู‡ุฏูˆู„ุฉ ู‡ุฐุง ุงู„ุฌุฏูˆู„ุฉ ุจูˆุถุญู„ูƒ ู…ูŠู† ุฃุณุชุฎุฏู…ุงู„ู€
1096
+
1097
+ 275
1098
+ 00:24:51,080 --> 00:24:54,680
1099
+ measure in case of outlier or if the outlier don't
1100
+
1101
+ 276
1102
+ 00:24:54,680 --> 00:24:59,460
1103
+ or doesn't exist if there is only one now which
1104
+
1105
+ 277
1106
+ 00:24:59,460 --> 00:25:12,720
1107
+ measure ุงู†ุง
1108
+
1109
+ 278
1110
+ 00:25:12,720 --> 00:25:21,390
1111
+ ุจุญูƒูŠ ุงุฐุง ู…ุงููŠุด outlier ุงู„ุฃูุถู„ ุงุณุชุฎุฏุงู… ุงู„ู€ meanุงู„ุทุจ
1112
+
1113
+ 279
1114
+ 00:25:21,390 --> 00:25:25,030
1115
+ ู…ุงุจูŠุจู†ู‚ุด ู„ูƒู† ุงู„ุฃูุถู„ ุฃุณุชุฎุฏู… ู‡ุฏูˆู„ ูƒู„ุงู…ูƒ ุตุญ ู„ูˆ ู…ุด
1116
+
1117
+ 280
1118
+ 00:25:25,030 --> 00:25:29,050
1119
+ ู…ูˆุฌูˆุฏูŠู† ุจู‚ุฏุฑ ุฃุณุชุฎุฏู… ู‡ุฏูˆู„ ู…ุงููŠุด ู…ุดูƒู„ุฉ ู„ูƒู† ุงู„ุฃูุถู„
1120
+
1121
+ 281
1122
+ 00:25:29,050 --> 00:25:33,870
1123
+ ุฃุณุชุฎุฏู… ุงู„ mean ูˆ ุงู„ rate ูˆ ุงู„ variation ูˆ ุงู„ cb
1124
+
1125
+ 282
1126
+ 00:25:33,870 --> 00:25:38,450
1127
+ ุงู„ุฃูุถู„ ู„ูƒู† ุฅุฐุง ู…ูˆุฌูˆุฏูŠู† ู„ุงุฒู… ๏ฟฝ๏ฟฝุจุนุฏ ุนู† ู‡ุฏูˆู„ ู„ุงุฒู… ู…ุฌุจุฑ
1128
+
1129
+ 283
1130
+ 00:25:38,450 --> 00:25:41,210
1131
+ ุฃุจุนุฏ ู„ูƒู† ุฅุฐุง ู…ุด ู…ูˆุฌูˆุฏูŠู† ู„ุฃูˆ ุชู„ุงุช ู…ู…ูƒู† ุฃุณุชุฎุฏู… ุฃูŠ
1132
+
1133
+ 284
1134
+ 00:25:41,210 --> 00:25:44,310
1135
+ ูˆุงุญุฏ ู…ู†ู‡ู… ู„ูƒู† ุงู„ุฃูุถู„ ุฃู†ูŠ ุฃุนู„ู…ูƒ ุนู„ูŠู‡ู…
1136
+
1137
+ 285
1138
+ 00:25:51,920 --> 00:25:58,980
1139
+ ุงู„ุงู† ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุจุณูŠุทุฉ ู„ุชุฎุทูŠุท IQR ุงู„ุงู†
1140
+
1141
+ 286
1142
+ 00:25:58,980 --> 00:26:03,740
1143
+ ู„ู„ู…ุซุงู„ ู‡ุฐุง ุงู„ู€ Q1
1144
+
1145
+ 287
1146
+ 00:26:03,740 --> 00:26:11,660
1147
+ ู‡ูˆ 30 ูˆ Q3 ู‡ูˆ 57 ูIQR
1148
+
1149
+ 288
1150
+ 00:26:11,660 --> 00:26:20,680
1151
+ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ู‡ุฐู‡ ุงู„ู‚ูŠู… ูู‡ูˆ ูู‚ุท ุชุฎุทูŠุท ุจุณูŠุทุŒ ุงู„ IQR
1152
+
1153
+ 289
1154
+ 00:26:21,420 --> 00:26:27,820
1155
+ ู‡ูˆ ูŠู‚ูˆู… ุจุชุญุณูŠู† 50% ู…ู† ุงู„ู…ู„ุงุญุธุงุช ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูู‚ุท
1156
+
1157
+ 290
1158
+ 00:26:27,820 --> 00:26:36,420
1159
+ 57 ู…ุงู†ูˆุณ 30 ู…ุงู†ูˆุณ 27 ู‡ุฐุง ูƒูŠู ุงุญุณุจ ุงู„ IQR ุฅุฐุง ุงู„
1160
+
1161
+ 291
1162
+ 00:26:36,420 --> 00:26:41,500
1163
+ IQR ูŠุจุฏูˆ ู…ุซู„ ุงู„ range ุจุณ ุงู„ range ู„ุญุธุฉ ู„ูˆ ุจุชุญุณุจ ุงู„
1164
+
1165
+ 292
1166
+ 00:26:41,500 --> 00:26:41,980
1167
+ range ู‡ู†ุง
1168
+
1169
+ 293
1170
+ 00:26:45,230 --> 00:26:54,050
1171
+ maximum 70% 58% ู‡ู†ุงูƒ ุงุฎุชู„ุงู ูƒุจูŠุฑ ุจูŠู† IQR ูˆRange
1172
+
1173
+ 294
1174
+ 00:26:54,050 --> 00:26:57,890
1175
+ ู‡ุฐุง ูŠุนู†ูŠ ุงู† ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ุฑุจู…ุง ู„ุฏูŠู‡ุง ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ
1176
+
1177
+ 295
1178
+ 00:26:57,890 --> 00:27:01,810
1179
+ ูˆุงุถุญ ููŠ ูุฑู‚ ูƒุจูŠุฑ ุจูŠู†ู‡ู… ุจุนุฏ ูƒุฏู‡ ู…ู…ูƒู† ูŠูƒูˆู† ููŠู‡ุง ุฎุทูˆุท
1180
+
1181
+ 296
1182
+ 00:27:01,810 --> 00:27:06,470
1183
+ ุฎุงุฑุฌูŠุฉ ู„ุญุธุฉ ูƒู„ ูƒู„ุงู…ู‡ ู…ู…ูƒู† ู…ุญุฏุฏุชุด ุงู‚ุตุฏ ุงุฐุง ูƒุงู† ู‡ู†ุงูƒ
1184
+
1185
+ 297
1186
+ 00:27:06,470 --> 00:27:10,450
1187
+ ุฎุทูˆุท ุฎุงุฑุฌูŠุฉ ุงูˆ ู„ุง ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงุฐุง ุชุฐูƒุฑ Z-score
1188
+
1189
+ 298
1190
+ 00:27:12,270 --> 00:27:14,910
1191
+ ุจุงุณุชุฎุฏุงู… ู‡ุฐุง ุงู„ู‚ุฑุงุฑ ูŠู…ูƒู†ูƒ ุงู†ุชุฌ ุงุฐุง ู‚ูŠู…ุฉ ู‡ุฐุง
1192
+
1193
+ 299
1194
+ 00:27:14,910 --> 00:27:17,210
1195
+ ุงู„ุจูŠุงู†ุงุช ุชุนุชุจุฑ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ
1196
+
1197
+ 300
1198
+ 00:27:17,210 --> 00:27:19,510
1199
+ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ
1200
+
1201
+ 301
1202
+ 00:27:19,510 --> 00:27:22,170
1203
+ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ
1204
+
1205
+ 302
1206
+ 00:27:22,170 --> 00:27:25,510
1207
+ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ
1208
+
1209
+ 303
1210
+ 00:27:25,510 --> 00:27:25,930
1211
+ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ
1212
+
1213
+ 304
1214
+ 00:27:25,930 --> 00:27:27,590
1215
+ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ
1216
+
1217
+ 305
1218
+ 00:27:27,590 --> 00:27:31,130
1219
+ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ
1220
+
1221
+ 306
1222
+ 00:27:31,130 --> 00:27:37,370
1223
+ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠุณ ุฎุงุฑู‚ุฉ ุงูˆ ู„ูŠ
1224
+
1225
+ 307
1226
+ 00:28:09,690 --> 00:28:15,690
1227
+ ู‡ู†ุนู…ู„ ู…ู„ุฎุต ุฎู…ุณ ู‚ูŠู… ุงู„ู€ five number summary five
1228
+
1229
+ 308
1230
+ 00:28:15,690 --> 00:28:20,970
1231
+ numbers that he described ุจุชุณุงุนุฏู†ูŠ ุฃุนุฑู ุงู„ center
1232
+
1233
+ 309
1234
+ 00:28:20,970 --> 00:28:27,730
1235
+ spread and shape ู…ู…ูƒู† ุฃุนุฑู ุงู„ value in the middle
1236
+
1237
+ 310
1238
+ 00:28:27,730 --> 00:28:32,930
1239
+ ุฃุนุฑู ุงู„ variability ุงู„ุชุดุชุฑ ูˆ ุฃุนุฑู ุงู„ุดูƒู„ ุงู„ five
1240
+
1241
+ 311
1242
+ 00:28:32,930 --> 00:28:39,160
1243
+ number summary are ุญุฏ ูŠุณู…ูŠ X smallestุงู„ู‚ูŠู…ุฉ ุงู„ุฃู‚ู„
1244
+
1245
+ 312
1246
+ 00:28:39,160 --> 00:28:49,620
1247
+ ู‡ูŠ Q1 median Q3 and X largest ุฏุนูˆู†ุง
1248
+
1249
+ 313
1250
+ 00:28:49,620 --> 00:28:55,740
1251
+ ู†ุฑู‰ ู…ุงู‡ูŠ ุนู„ุงู‚ูŠุฉ ุจูŠู† ู‡ุฐู‡ ุงู„ุชุนุฑูŠูุงุช ุงู„ุฎู…ุณุฉ ุฑู‚ู…ูŠุฉ ู‡ุฐุง
1252
+
1253
+ 314
1254
+ 00:28:55,740 --> 00:29:00,420
1255
+ ุงู„ุนุฑุถ ูŠุธู‡ุฑ ุงู„ุนู„ุงู‚ุงุช ุจูŠู† ุงู„ุชุนุฑูŠูุงุช ุงู„ุฎู…ุณุฉ ุฑู‚ู…ูŠุฉ
1256
+
1257
+ 315
1258
+ 00:29:00,420 --> 00:29:06,100
1259
+ ูˆุนู„ุงู‚ุงุช ุงู„ู…ุดุงุฑูƒุฉ ุจุงู„ุฃุฎุต ู„ูŠู‡ู…ุฅูŠุด ุงู„ุนู„ุงู‚ุงุช ุงู„ู„ูŠ
1260
+
1261
+ 316
1262
+ 00:29:06,100 --> 00:29:09,940
1263
+ ุจูŠู†ู‡ู… ูˆุจูŠูˆุถุญ ุงู„ shape ุฅุฐุง ูƒุงู† symmetric left
1264
+
1265
+ 317
1266
+ 00:29:09,940 --> 00:29:16,540
1267
+ skewed or right skewed it's very hard to remember
1268
+
1269
+ 318
1270
+ 00:29:16,540 --> 00:29:21,380
1271
+ this table so let's see how can we figure out the
1272
+
1273
+ 319
1274
+ 00:29:21,380 --> 00:29:24,160
1275
+ relationships among the five number summary and
1276
+
1277
+ 320
1278
+ 00:29:24,160 --> 00:29:28,600
1279
+ find the distribution shape just by looking at the
1280
+
1281
+ 321
1282
+ 00:29:28,600 --> 00:29:32,080
1283
+ figure itself let's start with the symmetric
1284
+
1285
+ 322
1286
+ 00:29:32,080 --> 00:29:40,110
1287
+ distribution symmetric it meansุงู„ู„ูŠ ู‡ูˆ ู…ุชู…ุซู„ ู„ูˆ
1288
+
1289
+ 323
1290
+ 00:29:40,110 --> 00:29:46,590
1291
+ ูƒุงู† ุนู†ุฏูŠ ู‡ู†ุง smallest ูˆู‡ุฐู‡
1292
+
1293
+ 324
1294
+ 00:29:46,590 --> 00:29:50,250
1295
+ largest ู‡ู†ุง
1296
+
1297
+ 325
1298
+ 00:29:50,250 --> 00:29:54,170
1299
+ Q3 Q2
1300
+
1301
+ 326
1302
+ 00:29:54,170 --> 00:30:02,290
1303
+ Q1 ู‡ุงูŠ ุงู„ five number similar smallest largest
1304
+
1305
+ 327
1306
+ 00:30:02,290 --> 00:30:08,740
1307
+ ุงู„ุตุบูŠุฑ ูˆุงู„ูƒุจูŠุฑูˆ ููŠ ุนู†ุฏูƒ Q1, Q2 ูˆ Q3 ุงู„ุณูŠู…ุชุฑูŠูƒุด
1308
+
1309
+ 328
1310
+ 00:30:08,740 --> 00:30:18,380
1311
+ ู…ุนู†ุงู‡ ุจุชุงุฎุฏ ุชู„ุช ุดุบู„ุงุช ููŠ ุงู„ุฃูˆู„ ุงู„ median minus
1312
+
1313
+ 329
1314
+ 00:30:18,380 --> 00:30:24,440
1315
+ smallest ู‡ุงูŠ ุงู„ู…ูŠุฏูŠุงู† ู…ุธู‡ุฑ ู‡ุงูŠ ุงู„ู…ูŠุฏูŠุงู† ุงู„ู…ุณุงูุฉ
1316
+
1317
+ 330
1318
+ 00:30:24,440 --> 00:30:28,160
1319
+ ู‡ุฐู‡ ู‡ู†ุง ูˆ
1320
+
1321
+ 331
1322
+ 00:30:28,160 --> 00:30:33,320
1323
+ ุงู„ู…ุณุงูุฉ ู…ู† ุงู„ median ู„ุบุงูŠุฉุงู„ู€ Largest ู‡ุฏูˆู„
1324
+
1325
+ 332
1326
+ 00:30:33,320 --> 00:30:37,580
1327
+ ุงู„ู…ุณุงูุชูŠู† ู…ุนุงู‡ู… ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถ ุฅุฐุง ุฃุฎุฏ ููŠ ุงู„ุฃูˆู„
1328
+
1329
+ 333
1330
+ 00:30:37,580 --> 00:30:41,180
1331
+ ู…ุณุงูุฉ ู…ู† ุงู„ู€ Q2 ู„ุบุงูŠุฉ smallest ู…ู† ุงู„ู€ Q2 ู„ู„
1332
+
1333
+ 334
1334
+ 00:30:41,180 --> 00:30:45,320
1335
+ largest ุชูƒูˆู† ุญูˆุงู„ูŠ ุจุนุถ ุฅุฐุง ุงู„ median minus
1336
+
1337
+ 335
1338
+ 00:30:45,320 --> 00:30:48,860
1339
+ smallest ุชู‚ุฑูŠุจุง ุจุชุณุงูˆูŠ largest ู†ู‚ุต ุงู„ median ู‡ุฐุง
1340
+
1341
+ 336
1342
+ 00:30:48,860 --> 00:30:56,200
1343
+ ุฃูˆู„ ูˆุงุญุฏุฉ ู„ูŠุด ุฃุฎุฏ ุงู„ุชุงู†ูŠุฉุŸ ุจุฏูŠ ุฃุฎุฏ ุงู„ุฃุทุฑุงู ุงู„ู„ูŠ ู‡ูŠ
1344
+
1345
+ 337
1346
+ 00:30:56,200 --> 00:31:05,130
1347
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆุงู„ู…ู†ุทู‚ุฉ ู‡ู†ุงู…ุงุฐุง ู‚ู„ุช ุนู„ูŠู‡ู…ุŸ ุงู„ู€
1348
+
1349
+ 338
1350
+ 00:31:05,130 --> 00:31:10,930
1351
+ Q1 minus smallest ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ุชู‚ุฑูŠุจุงู‹
1352
+
1353
+ 339
1354
+ 00:31:10,930 --> 00:31:13,590
1355
+ equal ู…ูŠู†ุŸ ุงู„ largest minus Q3 ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง
1356
+
1357
+ 340
1358
+ 00:31:13,590 --> 00:31:18,230
1359
+ ุชู„ุงุญุธูˆุง ุทู„ุน ุงู„ู…ุณุงูุชูŠู† ู‡ุฐูˆู„ุŸ ุชู‚ุฑูŠุจุงู‹ ู…ุง ู„ู‡ู…ุŸ ุฒูŠ ุจุนุถ
1360
+
1361
+ 341
1362
+ 00:31:18,230 --> 00:31:22,730
1363
+ ู‡ุฐูŠู† ู„ูˆ ูƒุงู†ูˆุง ุงู†ุฏุณูŠู…ุชุฑูŠูƒ ูŠุจุชุฏูˆุง ูˆุงุญุฏุฉ ุชุงู„ุชุฉ median
1364
+
1365
+ 342
1366
+ 00:31:22,730 --> 00:31:29,930
1367
+ minus Q1 ู‡ูŠ ุงู„ median ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ุงู„ู…ุณุงูุฉ
1368
+
1369
+ 343
1370
+ 00:31:29,930 --> 00:31:39,290
1371
+ ู‡ุฐู‡ุงู„ู…ุณุงูุฉ ุฏูŠ ู…ุด ุนู„ุงู‚ุฉ ุชุจู‚ู‰ q2 minus q3 ุฒูŠ ุจุนุถ ุฅุฐุง
1372
+
1373
+ 344
1374
+ 00:31:39,290 --> 00:31:43,930
1375
+ media minus q1 is the same as q3 minus media ุฅุฐุง
1376
+
1377
+ 345
1378
+ 00:31:43,930 --> 00:31:48,830
1379
+ ุงู„ู…ุณุงูุฉ ููŠ ุงู„ู†ุต ุญูˆุงู„ูŠ ุงู„ q2 ู…ุง ู„ู‡ู… ุฒูŠ ุจุนุถ ุฅุฐุง ููŠ
1380
+
1381
+ 346
1382
+ 00:31:48,830 --> 00:31:54,930
1383
+ ู‡ุฐู‡ ุงู„ุชู„ุงุช ุดุบู„ุงุช ุงู„ q2 was smallest ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ
1384
+
1385
+ 347
1386
+ 00:31:54,930 --> 00:32:00,440
1387
+ ู‡ู†ุงุฒูŠ ู…ูŠู†ุŸ ุงู„ largest ููŠ ุงู„ Q2 ู‡ุฐู‡ ูˆุงุญุฏุฉุŒ ุจุนุฏูŠู†
1388
+
1389
+ 348
1390
+ 00:32:00,440 --> 00:32:04,460
1391
+ ุงู„ุฃุทุฑุงู ู‡ุฏูˆู„ ุฒูŠ ุจุนุถ ูˆ ุงู„ููˆุฑ ู†ุต ุฒูŠ ุจุนุถุŒ ุฅุฐุง
1392
+
1393
+ 349
1394
+ 00:32:04,460 --> 00:32:08,540
1395
+ ุฃุชูู‡ู…ูŠู‡ุง ูƒูŠูุŸ ู…ู† ุงู„ู†ุต ู„ู„ูŠู…ูŠู† ุฎุงู„ุต ูˆ ู„ุดู…ุงู„ ุฎุงู„ุต ุฒูŠ
1396
+
1397
+ 350
1398
+ 00:32:08,540 --> 00:32:13,060
1399
+ ุจุนุถุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ูŠุŒ ูˆ ุงู„ุฃุทุฑุงู ุฒูŠ ุจุนุถ ูˆ
1400
+
1401
+ 351
1402
+ 00:32:13,060 --> 00:32:17,780
1403
+ ุงู„ููˆุฑ ู†ุต ุฒูŠ ุจุนุถุŒ ู„ูˆ ู‡ุฐุง ุงุชุญู‚ู‚ุŒ ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏูŠ ุฅูŠุดุŸ
1404
+
1405
+ 352
1406
+ 00:32:17,780 --> 00:32:21,540
1407
+ SymmetricุŒ ุฅุฐุง ู†ุดูŠุจ Symmetricูˆุงู„ู€ relationship
1408
+
1409
+ 353
1410
+ 00:32:21,540 --> 00:32:24,860
1411
+ among these five numbers are the same ู„ุฃ if you
1412
+
1413
+ 354
1414
+ 00:32:24,860 --> 00:32:27,640
1415
+ look here medium minus smallest equal is roughly
1416
+
1417
+ 355
1418
+ 00:32:27,640 --> 00:32:31,560
1419
+ equal and so on that's for symmetric distribution
1420
+
1421
+ 356
1422
+ 00:32:31,560 --> 00:32:39,040
1423
+ ุฅุฐุง ู†ุฏู‰ ุฃูˆู„ ูˆุงุญุฏุฉ symmetric ุฑู‚ู…
1424
+
1425
+ 357
1426
+ 00:32:39,040 --> 00:32:48,140
1427
+ ุงุชู†ูŠู† ู†ุงุฎุฏ ุงู„ lift ุฅูŠุด ู…ุนู†ู‰ lift skewed ูŠุนู†ูŠ ุนู„ู‰
1428
+
1429
+ 358
1430
+ 00:32:48,140 --> 00:32:52,670
1431
+ ุงู„ุดู…ุงู„ ุฃูƒุชุฑูŠุนู†ูŠ ุงู†ุง ู‡ุงุฎุฏ ู‡ูŠูƒ ู‡ุทูˆู„ ุงู„ู„ูŠ ุงูุชู‰ ู„ุญุธุฉ
1432
+
1433
+ 359
1434
+ 00:32:52,670 --> 00:32:57,570
1435
+ ู‡ุทูˆู„ู‡ ู‡ูŠูƒ ูˆ ุงู„ูŠุงู…ูŠู† ุฃุตุบุฑ ูˆ ุงู„ูŠุงู…ูŠู† ุฃุตุบุฑ ูŠุนู†ูŠ ุจุชุงุฎุฏ
1436
+
1437
+ 360
1438
+ 00:32:57,570 --> 00:33:03,130
1439
+ ู‡ูŠูƒ ุชูƒูˆู† ุทูˆูŠู„ุฉ ุฎุงู„ุต ุญุชู‰ ุญุชู‰ ุงู„ Q2 ุจุชุญุทู‡ุง ุจุนูŠุฏ ูˆ ู‡ูŠ
1440
+
1441
+ 361
1442
+ 00:33:03,130 --> 00:33:10,230
1443
+ Q3 ูˆ Q1 ูˆ ู‡ูŠ ุงู„ .. ูˆ ู‡ูŠ ุงู„ left ุชุญุช ู†ูุณ ุงู„ data
1444
+
1445
+ 362
1446
+ 00:33:10,230 --> 00:33:14,630
1447
+ ูŠุนู†ูŠ ู…ุงุดูŠ ู†ูุณ ุงู„ู†ุธุงู… ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ุงู†ุง .. ุงู†ุง ู…ุด
1448
+
1449
+ 363
1450
+ 00:33:14,630 --> 00:33:19,460
1451
+ ู‡ู‚ุฑุฃ ู…ู† ู‡ู†ุง ู‡ู‚ุฑุฃ ู…ู† ุงู„ุฑุณู…ุฉุญูƒูŠ ุฃู† ุฃุฎุฏ ู…ู† Q2
1452
+
1453
+ 364
1454
+ 00:33:19,460 --> 00:33:23,000
1455
+ ู„ู„ู€largest ูˆ ู„ู„smallest ู„ุญุธุฉุŒ ุฃู†ุง ู‡ู‚ุฑุฃ ู…ู† ู‡ู†ุงุŒ ู‡ูŠ
1456
+
1457
+ 365
1458
+ 00:33:23,000 --> 00:33:31,440
1459
+ X smallest ูˆ ู‡ูŠ Q2 Q2 ู†ุงู‚ุต X smallest ุงู„ู…ุณุงูุฉ ู‡ุฐู‡
1460
+
1461
+ 366
1462
+ 00:33:31,440 --> 00:33:39,160
1463
+ ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† largest ู†ุงู‚ุต Q2ุŒ ู‡ุฐุง ู‡ูˆ ุงู„ูˆุงุญุฏุฉ ุงู„ู„ูŠ
1464
+
1465
+ 367
1466
+ 00:33:39,160 --> 00:33:44,180
1467
+ ู‡ูŠ ุงู„ุฃูˆู„ู‰ ุงู„ู…ูƒุชูˆุจุฉ ู‡ู†ุง media ู†ุงู‚ุต smallest ุฃูƒุจุฑ ู…ู†
1468
+
1469
+ 368
1470
+ 00:33:44,180 --> 00:33:49,260
1471
+ largest minus medianุจุนุฏูŠู† ุงู„ุฃุทุฑุงู ุงู„ุฃุทุฑุงู ููŠ
1472
+
1473
+ 369
1474
+ 00:33:49,260 --> 00:33:55,320
1475
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุงู„ุฃุทุฑุงู ู‡ูŠ ุงู„ุทุฑู ุงู„ุชุงู†ูŠ ู‡ุฐู‡
1476
+
1477
+ 370
1478
+ 00:33:55,320 --> 00:34:00,520
1479
+ ู…ุนู†ุงู‡ ุงูŠุด ุงู†ุง ุจุฏุฃ ุงู‚ุฑุฃ ุงู†ุชุจู‡ ู…ุนุงู‡ ู‡ู†ุง Q1 minus X
1480
+
1481
+ 371
1482
+ 00:34:00,520 --> 00:34:04,760
1483
+ smallest ู†ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฃูƒุจุฑ ู…ู† largest minus Q3
1484
+
1485
+ 372
1486
+ 00:34:04,760 --> 00:34:10,660
1487
+ ุจุชุงู‡ู… ุงูŠุดุŸ ุงู„ู ูˆ ุงู„ู†ุต ูˆ 150% ุงู„ู ูˆ ุงู„ู†ุต ุงู„ู…ู†ุทู‚ุฉ
1488
+
1489
+ 373
1490
+ 00:34:10,660 --> 00:34:24,100
1491
+ ุงู„ู„ูŠ ู‡ู†ุงQ2-Q1 Median-Q1 ุฃูƒุจุฑ ู…ู† Q3-Q1 Q2 ู…ุธุจูˆุท ุทูŠุจ
1492
+
1493
+ 374
1494
+ 00:34:24,100 --> 00:34:30,240
1495
+ ุจุฏูŠ ูˆุงุญุฏุฉ ุชุฑุณู…ูŠ ุงู„ุชุงู„ุชุฉ ูˆ ุงุชุนู„ู‚ ุนู„ูŠู‡ุง ุงู„ู„ูŠ ู‡ูŠ
1496
+
1497
+ 375
1498
+ 00:34:30,240 --> 00:34:35,460
1499
+ right skewed ู‡ูŠ ุชู„ุงุชุฉ ุงุฑุณู…ู‡ุง ู‡ู†ุง ุงู„ุชู„ุงุชุฉ ู‡ุฐุง left
1500
+
1501
+ 376
1502
+ 00:34:35,460 --> 00:34:38,960
1503
+ ุชู„ุงุชุฉ right skewed
1504
+
1505
+ 377
1506
+ 00:34:40,740 --> 00:34:44,120
1507
+ right tail ูŠุนู†ูŠ ุงู„ุทุฑู ุงู„ุฃุทูˆู„ ู‡ูˆ ุงู„ุฃูŠู…ู† ูŠุนู†ูŠ the
1508
+
1509
+ 378
1510
+ 00:34:44,120 --> 00:34:46,740
1511
+ right tail is longer than left tail
1512
+
1513
+ 379
1514
+ 00:35:18,040 --> 00:35:27,440
1515
+ ู…ู…ุชุงุฒ ุงู„ุฑุณู… ูƒุฏู‡ ุตุญ ู„ุญุธุฉ ุงู„ุทุฑู ุงู„ุงูŠู…ุงู† ุงุทูˆู„
1516
+
1517
+ 380
1518
+ 00:35:27,440 --> 00:35:29,420
1519
+ ูŠุนู†ูŠ ุงู„ right tail longer than left tail
1520
+
1521
+ 381
1522
+ 00:35:45,130 --> 00:35:48,530
1523
+ ู„ุฃู†ู‡ุง ุณุชู‚ุฑุฃ ุงู„ุชู„ุงุช ุนู„ุงู‚ุงุช ุชุงุจุนุฉ ุนู„ูŠู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู†
1524
+
1525
+ 382
1526
+ 00:35:48,530 --> 00:36:01,550
1527
+ ุฅุฐุง
1528
+
1529
+ 383
1530
+ 00:36:01,550 --> 00:36:10,270
1531
+ ุฃูˆู„ ูˆุงุญุฏุฉ ุงู„ largest minus Q2 greater than Q2
1532
+
1533
+ 384
1534
+ 00:36:10,270 --> 00:36:14,240
1535
+ minus smallest ูŠุนู†ูŠ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆุงุถุญุฃูƒุจุฑ
1536
+
1537
+ 385
1538
+ 00:36:14,240 --> 00:36:18,220
1539
+ ุจูƒุชูŠุฑ ุงู„ู…ุณุงูุฉ ุงู„ู„ู‰ ู‡ู†ุง ู‡ุฐุง ู…ุนู†ุงู‡ right skewed ุชุงู†ู‰
1540
+
1541
+ 386
1542
+ 00:36:18,220 --> 00:36:25,440
1543
+ ูˆุงุญุฏุฉ ู…ู…ุชุงุฒ
1544
+
1545
+ 387
1546
+ 00:36:25,440 --> 00:36:31,340
1547
+ Q1 minus smallest ุงุชุฎุฐู†ุง ุงู„ุฃุทุฑุงู ุงู„ู„ู‰ ู‡ูˆ largest
1548
+
1549
+ 388
1550
+ 00:36:31,340 --> 00:36:35,660
1551
+ minus Q3 ุงู„ู…ุณุงูุฉ ุงู„ู„ู‰ ู‡ู†ุง ุฃุทูˆู„ ู…ู† Q1 minus X
1552
+
1553
+ 389
1554
+ 00:36:35,660 --> 00:36:38,120
1555
+ smallest ุจุชุงู… ุงู„ุชุงู„ุชุฉ ููŠ ุงู„ู†ุต
1556
+
1557
+ 390
1558
+ 00:36:42,380 --> 00:36:46,160
1559
+ ู…ู…ุชุงุฒุฉ ู‡ุงูŠ ุงู„ุชู„ุงุช ุญุงู„ุงุช ุงุฐุง ู…ุงู‡ุง ูƒุฏู‡ ู…ุงููŠุด ุฏุงุนูŠ ุงู†
1560
+
1561
+ 391
1562
+ 00:36:46,160 --> 00:36:53,080
1563
+ ุงุญูุธ ุงู„ table ุงุฑุณู… ุงู„ุฑุงุณู… ุตุญ ู‡ุชุนุฑู ุงู„ุชู„ุงุช ุตุญ ูˆุงุถุญุŸ
1564
+
1565
+ 392
1566
+ 00:36:53,080 --> 00:36:56,540
1567
+ ููŠ ุงู„ุฎู„ุงุตุฉ ููŠ ุงู„ left skewed always we have
1568
+
1569
+ 393
1570
+ 00:36:56,540 --> 00:37:00,580
1571
+ positive greater than ููŠ ุงู„ right we have smaller
1572
+
1573
+ 394
1574
+ 00:37:00,580 --> 00:37:04,960
1575
+ than ููŠ ุงู„ symmetric roughly equal ู‡ุงูŠ ุงู„ุนู„ุงู‚ุฉ ู…ุง
1576
+
1577
+ 395
1578
+ 00:37:04,960 --> 00:37:05,980
1579
+ ุจูŠู† ุงู„ุชู„ุงุชุฉ
1580
+
1581
+ 396
1582
+ 00:37:10,820 --> 00:37:16,540
1583
+ any questionุŸ ููŠ
1584
+
1585
+ 397
1586
+ 00:37:16,540 --> 00:37:23,280
1587
+ ุฃูŠ ุณุคุงู„ุŸ ุทุจ ู†ู…ุณุญู‡ู… ูˆ ู†ุบุทูŠ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุจุฏูŠ ุชู„ุงุชุฉ
1588
+
1589
+ 398
1590
+ 00:37:23,280 --> 00:37:28,580
1591
+ ู…ู†ูƒู… ูŠุนูŠุฏูˆู‡ู… ูˆุงุญุฏุฉ
1592
+
1593
+ 399
1594
+ 00:37:28,580 --> 00:37:32,140
1595
+ ุชุทู„ุน ุชู…ุณุญ ูˆ ุชูƒู…ู„ ุชุนู…ู„ูŠ ุงู„ symmetric ููŠ ุงู„ุฃูˆู„
1596
+
1597
+ 400
1598
+ 00:37:40,170 --> 00:37:44,030
1599
+ ุจุชุนูˆุฏ ูƒู„ ู„ู‚ุงุก ูŠุนู†ูŠ ู„ู…ุง ุฃุดุฑุญ ุดุบู„ุฉ ู…ุนูŠู†ุฉ ูˆุดุบู„ุฉ ุฒูŠู‡ุง
1600
+
1601
+ 401
1602
+ 00:37:44,030 --> 00:37:51,350
1603
+ ุงู†ุช .. ุงู†ุช ููŠ ุณู„ู†ุชูƒ ุชุนู…ู„ูŠู‡ุง ุงู…ุณุญูŠู‡ู…
1604
+
1605
+ 402
1606
+ 00:37:51,350 --> 00:37:56,390
1607
+ ู„ุงุญ ุชุงุฎุฏูŠุง ุงู„ุญู„ู‚ุฉ ุงู„ุฃูˆู„ู‰ ุณุงู…ูŠู‡ุง symmetric
1608
+
1609
+ 403
1610
+ 00:38:10,980 --> 00:38:14,480
1611
+ Double M Double M Double M ู…ุด ู…ุดูƒู„ุฉ ู…ุด ู‡ู†ุฏู‚ ูƒุชูŠุฑ
1612
+
1613
+ 404
1614
+ 00:38:14,480 --> 00:38:23,140
1615
+ ุนู„ู‰ ุงู„ุชุฑุฌู…ุฉ ุจุณ ูƒุชุจู‡ุง ุตุญ Double M ุงูŠ
1616
+
1617
+ 405
1618
+ 00:38:23,140 --> 00:38:27,900
1619
+ ุงูŠ ุงูŠ ุจูŠุนู…ู„ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1620
+
1621
+ 406
1622
+ 00:38:27,900 --> 00:38:32,860
1623
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1624
+
1625
+ 407
1626
+ 00:38:32,860 --> 00:38:33,000
1627
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1628
+
1629
+ 408
1630
+ 00:38:33,000 --> 00:38:33,620
1631
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1632
+
1633
+ 409
1634
+ 00:38:33,620 --> 00:38:33,620
1635
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1636
+
1637
+ 410
1638
+ 00:38:33,620 --> 00:38:35,540
1639
+ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ ุงูŠ
1640
+
1641
+ 411
1642
+ 00:38:38,590 --> 00:38:42,150
1643
+ ู‡ุชุฑุณู… ุงู„ู€ Symmetric ุงู„ู€ Symmetric ุฏูŠ ู‡ูˆ ุงู„ุญุงูุธุฉ ุฅู†
1644
+
1645
+ 412
1646
+ 00:38:42,150 --> 00:38:47,710
1647
+ ุงู„ู…ุณุงูุงุช ุฒูŠ ุจุนุถ ูŠุนู†ูŠ Q2 in the middle ูˆ ุงู„ู…ุณุงูุงุช
1648
+
1649
+ 413
1650
+ 00:38:47,710 --> 00:38:56,910
1651
+ ุญูˆุงู„ูŠู†ู‡ุง ู…ุชุณุงูˆูŠุฉ ู…ู…ุชุงุฒ
1652
+
1653
+ 414
1654
+ 00:38:56,910 --> 00:39:00,550
1655
+ ุฒูŠ ุฏู‡ Q1 ู„ุญุธุฉ ุญุงูˆู„ุช ุชุญูˆู„ ุงู„ู…ุณุงูุฉ ู…ุง ุจูŠู† ุงู„ู€Q ู‡ุฏูˆู„
1656
+
1657
+ 415
1658
+ 00:39:00,550 --> 00:39:06,710
1659
+ ู…ุน ุงู„ smallest ุญูˆุงู„ูŠู† ุจุนุถ ูˆ
1660
+
1661
+ 416
1662
+ 00:39:06,710 --> 00:39:10,510
1663
+ ู‡ุฐุง ุงู„ largestู…ุด ูุงูŠุฑ ุฏุฑุงุณุฉ ู…ุง ูƒูˆูŠุณุฉ ู„ู…ูŠู†ุŸ ู„ู€
1664
+
1665
+ 417
1666
+ 00:39:10,510 --> 00:39:14,290
1667
+ Symmetric Distribution ุงู„ medium ุจุชูƒูˆู† ููŠ ุงู„ู†ุต ูˆ
1668
+
1669
+ 418
1670
+ 00:39:14,290 --> 00:39:18,930
1671
+ ุงู„ Q1 ูˆ Q3 ุญูˆุงู„ูŠู‡ ููŠ ุงู„ู†ุต ูˆ ุงู„ุฅุทุฑุงู ูŠูƒูˆู†ูˆุง ุฒูŠ ุจุนุถ
1672
+
1673
+ 419
1674
+ 00:39:18,930 --> 00:39:24,410
1675
+ ุชู‚ุฑูŠุจุง ูุชู„ุงุญุธูŠ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ููŠ ุงู„ Symmetric ุฒูŠ
1676
+
1677
+ 420
1678
+ 00:39:24,410 --> 00:39:28,150
1679
+ ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง ูˆ ุงู„ู…ุณุงูุฉ ุจูŠู† ุงู„ Q1 ูˆ Q2 ุฒูŠ ุงู„ู„ูŠ
1680
+
1681
+ 421
1682
+ 00:39:28,150 --> 00:39:32,040
1683
+ ู‡ู†ุง ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ู… ู‡ูŠ ู‡ุชุญูƒูŠู‡ู…ุงู„ู„ูŠ ู‡ูˆ ุงู„
1684
+
1685
+ 422
1686
+ 00:39:32,040 --> 00:39:34,180
1687
+ relationship among the five numbers ุนู…ู„ูŠ ุงุจุฏูŠ
1688
+
1689
+ 423
1690
+ 00:39:34,180 --> 00:39:42,880
1691
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฃูˆู„
1692
+
1693
+ 424
1694
+ 00:39:42,880 --> 00:39:53,320
1695
+ ุฅุดุงุฑุฉ ุงู„ู€
1696
+
1697
+ 425
1698
+ 00:39:53,320 --> 00:39:54,700
1699
+ Q1 minus ุงู„ู€ Q smallest
1700
+
1701
+ 426
1702
+ 00:40:14,830 --> 00:40:18,790
1703
+ Q2-Q3-Q3-Q3
1704
+
1705
+ 427
1706
+ 00:40:18,790 --> 00:40:19,210
1707
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3
1708
+
1709
+ 428
1710
+ 00:40:19,210 --> 00:40:19,290
1711
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3
1712
+
1713
+ 429
1714
+ 00:40:19,290 --> 00:40:19,310
1715
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3
1716
+
1717
+ 430
1718
+ 00:40:19,310 --> 00:40:19,310
1719
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3-Q3
1720
+
1721
+ 431
1722
+ 00:40:19,310 --> 00:40:22,060
1723
+ -Q3-Q3-Q3-Q3-Q3-Q3-Q3ุงู„ู€ U2 minus X smallest equal
1724
+
1725
+ 432
1726
+ 00:40:22,060 --> 00:40:26,640
1727
+ U2 minus X ุงู„ุนูƒุณ X large minus X ุตุบูŠุฑ ุฏู‡ ุนู†ุฏู‡
1728
+
1729
+ 433
1730
+ 00:40:26,640 --> 00:40:30,280
1731
+ ุจุงู„ูƒุจูŠุฑ ู†ู‚ุต ุตุบูŠุฑ ุฒูŠ ุงู„ุชู„ุงุช ุญุงู„ุงุช ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุฒูŠ
1732
+
1733
+ 434
1734
+ 00:40:30,280 --> 00:40:35,240
1735
+ ุจุนุถ ุงู„ุฃุทุฑุงู ุฒูŠ ุจุนุถ ู…ู† ุงู„ู†ุต ู„ู„ุตุบูŠุฑ ุจุณูˆุก ู…ู† ุงู„ู†ุต
1736
+
1737
+ 435
1738
+ 00:40:35,240 --> 00:40:41,340
1739
+ ู„ู„ูƒุจูŠุฑ ูˆุงุถุญุŸ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Symmetric ู†ุงุฎุฏ ุงู„ู€
1740
+
1741
+ 436
1742
+ 00:40:41,340 --> 00:40:41,500
1743
+ Left
1744
+
1745
+ 437
1746
+ 00:40:49,760 --> 00:40:56,320
1747
+ ุงู„ู„ูŠ ู‡ุชุฑุณู… ุฑุณู…ุฉ ุงู„ู€ left ุงู…ุณุญู‡ุง ูŠุงู„ู‡ุง ุฏูˆู„ ูˆูƒู…ู„ู‡ุง
1748
+
1749
+ 438
1750
+ 00:40:56,320 --> 00:41:04,860
1751
+ left
1752
+
1753
+ 439
1754
+ 00:41:04,860 --> 00:41:10,280
1755
+ skewed ุงู„ู€ left skewed ู…ุนู†ุงู‡ ุงู† ุงู„ู€ left tail is
1756
+
1757
+ 440
1758
+ 00:41:10,280 --> 00:41:13,340
1759
+ longer than right tail ูู„ุงู† ู‡ูŠ ู‡ุชุงุฎุฏ ุงู„ smallest
1760
+
1761
+ 441
1762
+ 00:41:13,340 --> 00:41:23,250
1763
+ ุนู† ุงู„ Q1 ุฃุทูˆู„ู…ู† ุงู„ู€ Largest ุนู† ุงู„ู€ Q3 ุจุณ
1764
+
1765
+ 442
1766
+ 00:41:23,250 --> 00:41:26,330
1767
+ ู‡ูŠ ุฑุณู…ุช ุงู„ู€ Box .. ุงู„ู‚ุงุนุฏุฉ ุงู„ุฌุงูŠุฉ ู‡ุชุณู…ูŠู‡ Box Block
1768
+
1769
+ 443
1770
+ 00:41:26,330 --> 00:41:32,150
1771
+ ู…ู…ุชุงุฒุฉุŒ ุงู†ุชุทู„ุช ุงู„ minimum value ูˆ ุงู†ุง ู‡ุชุฒุบุฑ ุงู„
1772
+
1773
+ 444
1774
+ 00:41:32,150 --> 00:41:35,590
1775
+ maximum value ุจุณ ุงุนุทูŠู†ูŠ ุงุณู… ุนู„ูŠู‡ู… ุฎู„ุงุต
1776
+
1777
+ 445
1778
+ 00:41:48,690 --> 00:42:02,090
1779
+ Q1 ู…ุธุจูˆุท ู‡ูŠูƒ ุงุชู„ุงุญุธ
1780
+
1781
+ 446
1782
+ 00:42:02,090 --> 00:42:08,690
1783
+ ุจุณ ู‡ูŠ ุดู‡ุฏ ุงู‡ ุชุจุนุฏูŠู‡ุง ุดูˆูŠุฉ ูƒูˆูŠุณ ูŠุนู†ูŠ ุงู†ุง ู…ู† ูุชุฑุฉ
1784
+
1785
+ 447
1786
+ 00:42:08,690 --> 00:42:15,740
1787
+ ุงู„ู„ูŠ ู‚ูˆู„ุช ููŠ ุงู„ุฏุฑุงุณุฉ ุงู„ูˆุงุญุฏุฉ ุงู„ Q1 ูˆ X smallestู„ุฃ
1788
+
1789
+ 448
1790
+ 00:42:15,740 --> 00:42:22,280
1791
+ ู„ุฃ ูƒุฏู‡ ุตุญ ุจุชู†ูุน ู…ุงุฒูŠุด ู…ุดูƒู„ุฉ ุงู„ medium minus ุงู„ x
1792
+
1793
+ 449
1794
+ 00:42:22,280 --> 00:42:27,940
1795
+ smallest ู‡ู… ู‡ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ x largest
1796
+
1797
+ 450
1798
+ 00:42:27,940 --> 00:42:30,940
1799
+ minus ุงู„ medium ุงู„ู…ู…ุชุงุฒ ุงุฐุง ุงู†ุง ุจุงู„ูˆุงุญุฏุฉ ุงู„ medium
1800
+
1801
+ 451
1802
+ 00:42:30,940 --> 00:42:35,160
1803
+ minus smallest ุฃูƒุจุฑ ู…ู† ุงู„ largest minus ุงู„ medium
1804
+
1805
+ 452
1806
+ 00:42:35,160 --> 00:42:38,960
1807
+ ุงู†ุง ุฏุงุฎู„ ุงู„ุฃุทุฑุงู ุฎุงู„ุต ู…ู† ุงู„ู†ุต ู„ู„ุขุฎุฑ ุชุงู†ูŠ
1808
+
1809
+ 453
1810
+ 00:42:54,150 --> 00:42:59,050
1811
+ ู…ู…ุชุงุฒุฉ ุฅุฐุง ุงู„ู…ุณุงูุฉ ุงู„ู„ูŠ ู‡ู†ุง q1 ุนู† ุงู„ smallest ุฃูƒุจุฑ
1812
+
1813
+ 454
1814
+ 00:42:59,050 --> 00:43:03,830
1815
+ ู…ู† ุงู„ largest minus q3 ู‡ุฐุง ููŠ ุญุงู„ุฉ ุงู„ lift skewed
1816
+
1817
+ 455
1818
+ 00:43:03,830 --> 00:43:05,430
1819
+ ุจุชุนู…ู„ ููŠ ุงู„ู†ุต
1820
+
1821
+ 456
1822
+ 00:43:11,560 --> 00:43:15,620
1823
+ Q1 ู…ู…ุชุงุฒ ุฅุฐุง ู‡ุฏูˆู„ ุงู„ relationships among the five
1824
+
1825
+ 457
1826
+ 00:43:15,620 --> 00:43:19,320
1827
+ numbers similar for symmetric and left ุชู…ุช ูˆุงุญุฏุฉ
1828
+
1829
+ 458
1830
+ 00:43:19,320 --> 00:43:23,520
1831
+ ุงู„ right ูŠุนู†ูŠ ููŠ ุงู„ู…ุชุญุงู„ุฉ ุงู„ู„ูŠ ู‚ู„ุชู„ูƒ ูŠูˆู… multiple
1832
+
1833
+ 459
1834
+ 00:43:23,520 --> 00:43:29,700
1835
+ choice ุตุนุจ ุชุญูุธูŠู‡ู… ุฃุฑุณู… ุงู„ุฑุณู… ุตุญ ุจุณ ุฎู„ู‘ูŠ ุจุงูƒ ุฏุงูŠู…ุง
1836
+
1837
+ 460
1838
+ 00:43:29,700 --> 00:43:32,880
1839
+ ุงู„ู…ุณุงูุฉ ุจุชูƒูˆู† ู…ู† ุงู„ูƒุจูŠุฑ ู„ู„ุตุบูŠุฑ ู…ุด ุงู„ุนูƒุณ ูŠุนู†ูŠ ุฃุญูƒูŠ
1840
+
1841
+ 461
1842
+ 00:43:32,880 --> 00:43:38,030
1843
+ largest ู†ุงู‚ุต Q3 ู…ุงุญูƒูŠุด Q3 minus largestูˆุงุถุญุŸ ู„ูƒุจูŠุฑ
1844
+
1845
+ 462
1846
+ 00:43:38,030 --> 00:43:43,530
1847
+ ู†ู‚ุต ุตุญูŠุญ ู‡ูŠ ู‡ุชุนู…ู„ ุฃุฎุฑ ูˆุงุญุฏุฉ ุงูƒุชุจ ุนู„ูŠู‡ุง ุชู„ุงุชุฉ ุจุณ
1848
+
1849
+ 463
1850
+ 00:43:43,530 --> 00:43:48,690
1851
+ ุงูƒุชุจ ุนู„ูŠู‡ุง ุชู„ุงุชุฉ ุงู„ right square ู‡ุชุงุฎุฏ ุงู„ุทุฑู
1852
+
1853
+ 464
1854
+ 00:43:48,690 --> 00:43:53,630
1855
+ ุงู„ุฃุทูˆู„ ู‡ูˆ ุงู„ุฃูŠู…ู† ู‡ุชุฒุบุฑ ุงู„ุดู…ุงู„ ุงู„ู…ูุฑูˆุถ ูˆ ุชูƒุจุฑ ุฅู„ู‰
1856
+
1857
+ 465
1858
+ 00:43:53,630 --> 00:43:58,570
1859
+ ุฃุนู„ู‰ ุงู„ูŠู…ูŠู† ุงู„ูŠู…ูŠู† ุงู„ุญู‚ูŠู‚ูŠ ู…ุด ุทูˆูŠู„ ูˆ ุงู„ Q2 ุฎู„ูŠู‡
1860
+
1861
+ 466
1862
+ 00:43:58,570 --> 00:44:06,370
1863
+ ู‡ู†ุง ุฌุงูŠ ูˆ ุฏู‡ ุทูˆู„ ุชุงุฎุฏู‡ ูƒุฏู‡ ุดูˆูŠุฉ ู„ุญุธุฉ ุทูˆู„ุช ุงู„ุฃูŠู…ู†ูˆ
1864
+
1865
+ 467
1866
+ 00:44:06,370 --> 00:44:28,930
1867
+ ุจุนุฏู‡ุง ุชุนู†ูŠ Q2 ุตุงุฑ ุงู„ุทุฑู ุงู„ุฃูŠู…ู† ู‡ูˆ ุงู„ุฃุทูˆู„ ุฎู„ูŠู†ุง
1868
+
1869
+ 468
1870
+ 00:44:28,930 --> 00:44:29,570
1871
+ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1872
+
1873
+ 469
1874
+ 00:44:36,360 --> 00:44:42,100
1875
+ ุฒู…ูŠู„ุชูƒ ูˆูŠุง ุจุชุดุฑุญูƒ ุงู†ุช ุจุณู„ุงู…ุชูƒ ุชู‡ุฏูŠ ูˆ ุชุณูƒุช ุนุดุงู†
1876
+
1877
+ 470
1878
+ 00:44:42,100 --> 00:44:52,080
1879
+ ุชุณู…ุน ุตูˆุชู‡ุง ุฃุฎุฏุช
1880
+
1881
+ 471
1882
+ 00:44:52,080 --> 00:44:58,420
1883
+ ู„ู„ุทุฑู x largest minus q3 is greater than q1 minus
1884
+
1885
+ 472
1886
+ 00:44:58,420 --> 00:45:00,260
1887
+ x smallest ู‡ุฐุง ุจุงู„ูˆุญุฏุฉ
1888
+
1889
+ 473
1890
+ 00:45:12,970 --> 00:45:19,890
1891
+ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุงู„ู…ุณุงูุฉ ุจูŠู† Q3-Q2 ุฃูƒุชุฑ ู…ู† Q2-Q1
1892
+
1893
+ 474
1894
+ 00:45:33,510 --> 00:45:40,390
1895
+ ุฃุฎุฑ ูˆุงุญุฏุฉ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู†
1896
+
1897
+ 475
1898
+ 00:45:40,390 --> 00:45:40,390
1899
+ Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1900
+
1901
+ 476
1902
+ 00:45:40,390 --> 00:45:40,390
1903
+ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ
1904
+
1905
+ 477
1906
+ 00:45:40,390 --> 00:45:40,570
1907
+ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1908
+
1909
+ 478
1910
+ 00:45:40,570 --> 00:45:40,970
1911
+ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ
1912
+
1913
+ 479
1914
+ 00:45:40,970 --> 00:45:42,130
1915
+ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1916
+
1917
+ 480
1918
+ 00:45:42,130 --> 00:45:46,130
1919
+ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1920
+
1921
+ 481
1922
+ 00:45:46,130 --> 00:45:51,590
1923
+ ุฃูƒุชุฑ ู…ู† Q2 ุฃูƒุชุฑ ู…ู† Q2
1924
+
1925
+ 482
1926
+ 00:45:51,590 --> 00:45:51,770
1927
+ ุฃูƒ
1928
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/4khBoGnElZQ.srt ADDED
@@ -0,0 +1,1654 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:22,910
3
+ ุจุงุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:22,910 --> 00:00:26,410
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ูŠ ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ูŠ ุฃู‡ู„ูŠ ูˆุตุญุจู‡
8
+
9
+ 3
10
+ 00:00:26,410 --> 00:00:29,810
11
+ ูˆุณู„ู… ุฃุฌู…ุนูŠู† ููŠ ุงู„ุจุฏุงูŠุฉ ุจู†ุฑุญุจ ุจุฌู…ูŠุน ุงู„ุฅุฎูˆุฉ ูˆุงู„ุฃุฎูˆุงุช
12
+
13
+ 4
14
+ 00:00:29,810 --> 00:00:33,670
15
+ ูˆุงู„ุทุงู„ุจุงุช ููŠ ู…ู‚ุฑุฑ Business Statistics ููŠ ุงู„ูุตู„
16
+
17
+ 5
18
+ 00:00:33,670 --> 00:00:37,110
19
+ ุงู„ุฏุฑุงุณูŠ ุงู„ุซุงู†ูŠ ุงู„ู„ูŠ ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชุนู„ู… ููŠู‡ ู‡ู†ุณุชุฎุฏู…
20
+
21
+ 6
22
+ 00:00:37,110 --> 00:00:40,790
23
+ .. ู‡ุฐุง ุงู„ูƒุชุงุจ Business Statistics ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ูƒุชุจุฉ
24
+
25
+ 7
26
+ 00:00:40,790 --> 00:00:44,930
27
+ ุงู„ุขู† ู‡ูŠ ู…ูƒุชุจุฉ ุงู‚ุฑุฃ ุงู„ู€ .. ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ู…ุฑุฉ ุงู„ูุงุชุชุฉ
28
+
29
+ 8
30
+ 00:00:44,930 --> 00:00:48,640
31
+ ุงู„ูƒุชุงุจ ููŠู‡ ุงู„ู€ Bar Point ุจุงู„ูƒุงู…ู„ุŒ seven chapters
32
+
33
+ 9
34
+ 00:00:48,640 --> 00:00:55,200
35
+ ู‡ู… ุซู„ุงุซุฉ ูˆุณุชุฉ ูˆุณุจุนุฉ ูˆุชุณุนุฉ ูˆุนุดุฑุฉ ุฃูˆ ุฃุญุฏ ุนุดุฑ ูˆ
36
+
37
+ 10
38
+ 00:00:55,200 --> 00:00:58,880
39
+ ุงุซู†ุง ุนุดุฑุŒ ู‡ุฐูˆู„ ุงู„ู€ seven chapters ู‡ู†ุงุฎุฏู‡ู… ุฒุงุฆุฏ ุญุทูŠุช ุงู„ู€
40
+
41
+ 11
42
+ 00:00:58,880 --> 00:01:03,460
43
+ practice ู„ูƒู„ chapter ู…ูˆุฌูˆุฏ ุฒุงุฆุฏ ุงู„ู€ previous exams
44
+
45
+ 12
46
+ 00:01:03,460 --> 00:01:09,200
47
+ ุญุทูŠุช ุฃุฑุจุนุฉ ุงู…ุชุญุงู†ุงุช ู„ู†ูุณ ุงู„ู€ course ู„ู†ูุณ ุงู„ูƒุชุงุจ ุทุจุนู‹ุง
48
+
49
+ 13
50
+ 00:01:09,200 --> 00:01:12,820
51
+ ููŠ ุงู…ุชุญุงู†ุงุช ุซุงู†ูŠุฉ ู‡ุญุทู‡ุง ุนู„ู‰ ุงู„ุตูุญุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุจุฑุถู‡
52
+
53
+ 14
54
+ 00:01:12,820 --> 00:01:16,420
55
+ ู‡ุญุท ู„ูƒ PDF ูˆุงู„ู€ PowerPoint ูƒุงู…ู„ุฉ ู‡ุญุท ู„ูƒ ููŠู‡ุง
56
+
57
+ 15
58
+ 00:01:16,420 --> 00:01:20,700
59
+ PowerPoint file ุฒูŠ ุงู„ู€ PDF ู„ูˆ ุญุจูŠุช ุชู‚ุฑุฃ ู…ู†ู‡ุง ุนู„ู‰
60
+
61
+ 16
62
+ 00:01:20,700 --> 00:01:24,200
63
+ ุงู„ุฌูˆุงู„ ุนู„ู‰ ุงู„ู€ laptop ููŠ ุฃูŠ ู…ูƒุงู† ูŠูƒูˆู† ุนู†ุฏูƒ ุดุบู„ุชูŠู†
64
+
65
+ 17
66
+ 00:01:24,200 --> 00:01:28,240
67
+ hard copy ุฒูŠ ู‡ูŠูƒ ูƒูˆูŠุณ ูˆุงู„ู€ soft copy ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ
68
+
69
+ 18
70
+ 00:01:28,240 --> 00:01:32,060
71
+ ู…ุนูƒ ุทุจุนู‹ุง ุงู„ู€ soft copy ุฃู†ุง ุนุงูŠุฒู‡ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ู‡ู†ุง
72
+
73
+ 19
74
+ 00:01:32,060 --> 00:01:36,400
75
+ ุจุญูŠุซ ุฅู†ู‡ ูˆุฃู†ุง ุจุดุฑุญ ุญูŠู† ุชูƒุชุจ ุดูˆูŠุฉ ู…ู„ุงุญุธุงุช ูŠุนู†ูŠ
76
+
77
+ 20
78
+ 00:01:36,400 --> 00:01:39,960
79
+ ุจุชุนู…ู„ notes ุฅู„ูŠูƒ ุฒูŠุงุฏุฉ ู„ุฃู†ู‡ ุบุงู„ุจู‹ุง ุงู„ู€ notes ุงู„ู„ูŠ ููŠ
80
+
81
+ 21
82
+ 00:01:39,960 --> 00:01:45,200
83
+ ุงู„ู€ PowerPoint ู…ุด ูƒุงู…ู„ุฉุŒ ุจุชุญุท ุดูˆูŠุฉ ุดุบู„ุงุช ุนู„ูŠู‡ุง ุงู„ูŠูˆู…
84
+
85
+ 22
86
+ 00:01:45,200 --> 00:01:49,720
87
+ ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ุจุฏุฃ ู…ุจุงุดุฑุฉ ููŠ chapter ูˆุงุญุฏุŒ ุงู„ู€ chapter
88
+
89
+ 23
90
+ 00:01:49,720 --> 00:01:54,100
91
+ ุงู„ุฃูˆู„ ุนูŠู†ูŠู‡ ู‡ูˆ chapter ุฑู‚ู… ุซู„ุงุซุฉุŒ ุฅุฐุง ุงู„ู€ course
92
+
93
+ 24
94
+ 00:01:54,100 --> 00:02:00,840
95
+ ุชุจุนู†ุง ุงุณู…ู‡ Basic StatisticsุŒ ุฃูˆู„ chapter ุจู†ุณู…ูŠู‡
96
+
97
+ 25
98
+ 00:02:00,840 --> 00:02:05,820
99
+ Numerical Descriptive Measures ุงู„ู„ูŠ ู‡ูŠ ู…ู‚ุงูŠูŠุณ
100
+
101
+ 26
102
+ 00:02:05,820 --> 00:02:12,160
103
+ ุงู„ูˆุตููŠุฉ ุงู„ุฑู‚ู…ูŠุฉุŒ ุจุชุนุฑู ุงุญู†ุง ุงู„ู€ data in general has
104
+
105
+ 27
106
+ 00:02:12,160 --> 00:02:19,940
107
+ two types ุงู…ุง Numerical ู†ุณู…ูŠู‡ุง Numerical Data ุฃูˆ
108
+
109
+ 28
110
+ 00:02:19,940 --> 00:02:27,200
111
+ ู†ุณู…ูŠู‡ุง ุงู„ุซุงู†ูŠุฉ Categorical Data ุฅุฐุง ู†ุณู…ูŠู‡ุง
112
+
113
+ 29
114
+ 00:02:27,200 --> 00:02:35,260
115
+ Numerical Data ุฃูˆ ุงุญู†ุง ู†ุณู…ูŠู‡ุง Quantitative ุฃูˆ
116
+
117
+ 30
118
+ 00:02:35,260 --> 00:02:36,080
119
+ ู†ุณู…ูŠู‡ุง Qualitative
120
+
121
+ 31
122
+ 00:02:40,210 --> 00:02:44,670
123
+ ุงู„ุจูŠุงู†ุงุช ู„ุฏูŠู‡ุง ุฃุดูƒุงู„ ู…ุฎุชู„ูุฉ ุจุดูƒู„ ุนุงู…ุŒ ูˆุงุญุฏุฉ ุจู†ุณู…ูŠู‡ุง
124
+
125
+ 32
126
+ 00:02:44,670 --> 00:02:48,250
127
+ Numerical Data ุฃูˆ Quantitative Data ูˆุงู„ุซุงู†ูŠุฉ
128
+
129
+ 33
130
+ 00:02:48,250 --> 00:02:53,370
131
+ ุจู†ุณู…ูŠู‡ุง Qualitative Data ุฃูˆ Categorical Data ุนู„ู‰
132
+
133
+ 34
134
+ 00:02:53,370 --> 00:02:59,750
135
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ุนู…ุฑุŒ ุนู…ุฑ ู‡ูˆ ู†ู…ุฑูŠุŒ ุฅุฐุง
136
+
137
+ 35
138
+ 00:02:59,750 --> 00:03:08,310
139
+ ุนู…ุฑูƒ 18 ุณู†ุฉุŒ 18 ู‡ูŠ ู‚ูŠู…ุฉ ู†ู…ุฑูŠุŒ ุฅุฐุง ูƒู†ุง ู†ุชุญุฏุซ ุนู† ุงู„ุถุบุท
140
+
141
+ 36
142
+ 00:03:11,990 --> 00:03:17,590
143
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ูƒู…ูŠุฉ ุนุงู…ุฉุŒ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู‡ูˆ 70 ูƒูŠู„ูˆ
144
+
145
+ 37
146
+ 00:03:17,590 --> 00:03:23,510
147
+ ุฌุฑุงู…ุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ู†ู…ูˆุฐุฌูŠุฉ ุนู†ุฏู…ุง ู†ุชูƒู„ู… ุนู†
148
+
149
+ 38
150
+ 00:03:23,510 --> 00:03:27,970
151
+ ุงู„ุจูŠุงู†ุงุช ุงู„ูƒุชูˆุฑูŠูƒูŠุฉ ุฃูˆ ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉุŒ ุนู„ู‰ ุณุจูŠู„
152
+
153
+ 39
154
+ 00:03:27,970 --> 00:03:33,610
155
+ ุงู„ู…ุซุงู„ ุงู„ุฌู†ุณ ุฅู…ุง ุงู„ู…ู„ุงูƒูŠู† ุฃูˆ ุงู„ุฅู†ุงุซุŒ ุฃูˆ ุงู„ู…ู„ุงูƒูŠู†
156
+
157
+ 40
158
+ 00:03:33,610 --> 00:03:36,670
159
+ ู‡ุฐุง
160
+
161
+ 41
162
+ 00:03:36,670 --> 00:03:40,710
163
+ ูŠุณู…ู‰ ุชู‚ู„ูŠุฏูŠุฉุŒ ุชู‚ู„ูŠุฏูŠุฉ ู…ุนู†ุงู‡ ู†ูˆุนูŠ
164
+
165
+ 42
166
+ 00:03:43,490 --> 00:03:49,390
167
+ Quantitative ูŠุนู†ูŠ ุฑู‚ู…ูŠุŒ This chapter focuses on
168
+
169
+ 43
170
+ 00:03:49,390 --> 00:03:54,150
171
+ Numerical Descriptive Measures ุจู†ุฑูƒุฒ ุนู„ู‰ ุงู„ู…ู‚ุงูŠูŠุณ
172
+
173
+ 44
174
+ 00:03:54,150 --> 00:03:59,430
175
+ ุงู„ูˆุตููŠุฉ ุงู„ุฑู‚ู…ูŠุฉุŒ So we are talking about something
176
+
177
+ 45
178
+ 00:03:59,430 --> 00:04:09,370
179
+ like scoresุŒ Now suppose your score is 90ุŒ 90 is
180
+
181
+ 46
182
+ 00:04:09,370 --> 00:04:14,540
183
+ numerical valueุŒ ุงู„ุขู† ูƒูŠู ู†ู‚ุฑุฑ ุงู„ู…ุนู„ูˆู…ุงุช ุฅุฐุง ูƒุงู†
184
+
185
+ 47
186
+ 00:04:14,540 --> 00:04:19,240
187
+ ู„ุฏูŠู†ุง ู‚ูŠู…ุฉ ู†ู…ูŠุฐูŠุฉุŸ ููŠ
188
+
189
+ 48
190
+ 00:04:19,240 --> 00:04:25,180
191
+ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ู„ุฏูŠู†ุง ุฃุฑุจุนุฉ ุฃู‡ุฏุงูุŒ ุงู„ุฃูˆู„ู‰
192
+
193
+ 49
194
+ 00:04:25,180 --> 00:04:30,760
195
+ ุชุณู…ุญ ุจู€ Properties of Central Tendency ู„ุญุธุฉ ู„ุฅู† ููŠ
196
+
197
+ 50
198
+ 00:04:30,760 --> 00:04:38,740
199
+ ุนู†ุฏูŠ ุฃูˆู„ ุชุนุฑูŠู Central TendencyุŒ ุฅูŠุด
200
+
201
+ 51
202
+ 00:04:38,740 --> 00:04:46,420
203
+ ู…ุนู†ู‰ CentralุŸ ู…ุฑูƒุฒุŒ tendency ู†ุฒุนุฉุŒ ุจุงู„ุธุจุทุŒ ูู‡ูŠ ุจูŠุณู…ูŠู‡ุง
204
+
205
+ 52
206
+ 00:04:46,420 --> 00:04:51,220
207
+ ู†ุฒุนุฉ ุงู„ู…ุฑูƒุฒูŠุฉุŒ ุดูˆู ุฃู†ุง ู‡ุญุงูˆู„ ุงู„ู…ุตุทู„ุญุงุช ุชุญูƒูŠ ุนุฑุจูŠ
208
+
209
+ 53
210
+ 00:04:51,220 --> 00:04:56,880
211
+ ุงู†ุฌู„ูŠุฒูŠุŒ ูููŠ ุนู†ุฏูŠ Describe the Probabilities of
212
+
213
+ 54
214
+ 00:04:56,880 --> 00:05:01,180
215
+ Central Tendency ู…ุนู†ุงู‡ุง
216
+
217
+ 55
218
+ 00:05:01,180 --> 00:05:09,040
219
+ ุจุฏุฃ ุฃุดุฑุญ ุฃูˆ ุฃูˆุตู ุฎุตุงุฆุต ู†ุฒุนุฉ ุงู„ู…ุฑูƒุฒูŠุฉุŒ Variation ุฅูŠุด
220
+
221
+ 56
222
+ 00:05:09,040 --> 00:05:09,680
223
+ ูŠุนู†ูŠ Variation
224
+
225
+ 57
226
+ 00:05:12,930 --> 00:05:18,950
227
+ Variation ู…ุนู†ุงู‡ ุงุฎุชู„ุงู ุฃูˆ
228
+
229
+ 58
230
+ 00:05:18,950 --> 00:05:27,070
231
+ ุชุดุชุช ุฃูˆ ุชุจูŠู†ุŒ And Shape in Numerical Data ุดูƒู„
232
+
233
+ 59
234
+ 00:05:33,740 --> 00:05:37,360
235
+ ููŠ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉ ุณู†ุชุญุฏุซ ุนู† ุซู„ุงุซ ุฃุณุฆู„ุฉ ุฑุฆูŠุณูŠุฉ
236
+
237
+ 60
238
+ 00:05:37,360 --> 00:05:49,800
239
+ ู„ู„ู…ู‚ุงู„ุงุช ุงู„ุฑุณู…ูŠุฉุŒ ุงู„ุฃูˆู„ู‰ ู‡ูŠ ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉุŒ ุงู„ุงุฎุชู„ุงู
240
+
241
+ 61
242
+ 00:05:49,800 --> 00:05:51,260
243
+ ุฃูˆ ุชุดุชุชุŒ ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช
244
+
245
+ 62
246
+ 00:05:51,260 --> 00:05:51,760
247
+ ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ
248
+
249
+ 63
250
+ 00:05:51,760 --> 00:05:52,700
251
+ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู
252
+
253
+ 64
254
+ 00:05:52,700 --> 00:05:52,720
255
+ ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช
256
+
257
+ 65
258
+ 00:05:52,720 --> 00:05:55,880
259
+ ุงู„ุงุฎุชู„ุงู ุฃูˆ
260
+
261
+ 66
262
+ 00:05:55,880 --> 00:05:59,020
263
+ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู ุฃูˆ ุชุดุชุช ุงู„ุงุฎุชู„ุงู
264
+
265
+ 67
266
+ 00:05:59,020 --> 00:05:59,100
267
+ ุฃูˆ ุชุดุชุท
268
+
269
+ 68
270
+ 00:06:02,390 --> 00:06:07,790
271
+ Construct ู…ุนู†ุงู‡ุง ุจู†ุงุก
272
+
273
+ 69
274
+ 00:06:07,790 --> 00:06:17,270
275
+ ุฃูˆ ุฅู†ุดุงุก ุฃูˆ ุฅู†ุดุงุก ุฃูˆ ุฑุณู…ุŒ ุณู…ูŠู‡ุง Interpret ุชูุณูŠุฑ
276
+
277
+ 70
278
+ 00:06:17,270 --> 00:06:22,190
279
+ ุจุชูุณูŠุฑุŒ ุจูƒุณ ุจู„ุงุช ุญุฏ ูŠุณู…ูŠู‡ุง ุจูƒุณ ุจู„ุงุช ู‡ู†ุงุฎุฏู‡ุง
280
+
281
+ 71
282
+ 00:06:22,190 --> 00:06:26,610
283
+ ุจุงู„ุชูุณูŠุฑ ุจุนุฏูŠู† ุฅุฐุง ุจู†ุนู…ู„ ุจู†ุงุก ูˆุงู„ุชุนู„ูŠู‚ ุฃูˆ ุงู„ุชูุณูŠุฑ
284
+
285
+ 72
286
+ 00:06:26,610 --> 00:06:30,630
287
+ ุจูƒุณ ุจู„ุงุชุŒ Number three Compute Descriptive Summary
288
+
289
+ 73
290
+ 00:06:30,630 --> 00:06:34,760
291
+ Measures for a Population. In general, we have
292
+
293
+ 74
294
+ 00:06:34,760 --> 00:06:38,860
295
+ populationุŒ suppose we are talking about IUG
296
+
297
+ 75
298
+ 00:06:38,860 --> 00:06:45,580
299
+ studentsุŒ ุจุชูƒู„ู… ุนู„ู‰ all IUG studentsุŒ ูƒู„ ุทู„ุจุฉ
300
+
301
+ 76
302
+ 00:06:45,580 --> 00:06:55,660
303
+ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ุจุญูƒูŠ ูƒู„ุŒ ุจุชูƒู„ู… ุนู† Population ุฅูŠุด
304
+
305
+ 77
306
+ 00:06:55,660 --> 00:07:03,910
307
+ ู…ุนู†ู‰ PopulationุŸ ู…ุฌุชู…ุนุŒ ู…ุฌุชู…ุน ูƒูƒู„ุŒ ู„ูˆ ุฃุฎุฏุช ู…ู†ู‡ Sample
308
+
309
+ 78
310
+ 00:07:03,910 --> 00:07:10,670
311
+ ุตุบูŠุฑุฉุŒ ู‡ูƒุฐุง ู†ูุชุฑุถ SampleุŒ ู‡ูƒุฐุง ุทุจุนู‹ุง ุงู„ู€ size ุชุจุน
312
+
313
+ 79
314
+ 00:07:10,670 --> 00:07:15,030
315
+ Population ู…ู…ูƒู† ูŠูƒูˆู† ู…ุซู„ู‹ุง ุณุชุฉ ุนุดุฑ ุฃู„ูุŒ sixty
316
+
317
+ 80
318
+ 00:07:15,030 --> 00:07:20,910
319
+ thousandุŒ ุงู„ู€ Sample ุฅูŠุด ู‡ุชูƒูˆู†ุŸ ุฌุฒุกุŒ ู…ู…ูƒู† ูŠุงุฎุฏ ู…ุงุฆุฉ
320
+
321
+ 81
322
+ 00:07:20,910 --> 00:07:26,410
323
+ ู…ู†ู‡ู…ุŒ ุนูŠู†ุฉุŒ Number that he talks aboutุŒ How can we
324
+
325
+ 82
326
+ 00:07:26,410 --> 00:07:30,810
327
+ Compute Descriptive Measures for a Population for
328
+
329
+ 83
330
+ 00:07:30,810 --> 00:07:34,670
331
+ the entire data for the entire data we have plus
332
+
333
+ 84
334
+ 00:07:34,670 --> 00:07:39,270
335
+ objective calculate the covariance and the
336
+
337
+ 85
338
+ 00:07:39,270 --> 00:07:44,150
339
+ coefficient of correlationุŒ Variance ู…ุนู†ุงู‡ ุฅูŠุดุŸ
340
+
341
+ 86
342
+ 00:07:44,150 --> 00:07:53,010
343
+ ุชุจุงูŠู†ุŒ ูˆCo .. ุฃูŠ ุญุงุฌุฉ Co ู…ุนู†ุงู‡ุง ู…ุดุชุฑูƒุŒ ุฅุฐุง ุจุฏู†ุง ู†ุญุณุจ
344
+
345
+ 87
346
+ 00:07:53,010 --> 00:07:57,750
347
+ ุงู„ุชุจุงูŠู† ุงู„ู…ุดุชุฑูƒ ุฃูˆ ุณู…ูŠู‡ุงุŒ ู‡ู†ุง ุงู„ุชุบูŠุฑ ู‡ุฐุง ููŠ ุขุฎุฑ
348
+
349
+ 88
350
+ 00:07:57,750 --> 00:08:00,990
351
+ ุงู„ุญู„ู‚ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ุฅุฐุง ู†ุชูƒู„ู… ุนู† ุงู„ู€ Covariance
352
+
353
+ 89
354
+ 00:08:00,990 --> 00:08:07,630
355
+ ุชุบูŠุฑุŒ And
356
+
357
+ 90
358
+ 00:08:07,630 --> 00:08:11,650
359
+ the Coefficient of Correlation ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุดุŸ ู…ุนุงู…ู„
360
+
361
+ 91
362
+ 00:08:11,650 --> 00:08:15,910
363
+ ุงู„ุงุฑุชุจุงุทุŒ ู‡ุฐูˆู„ four objectives ู„ุญุธุฉ ููŠ ุนู†ุฏูŠ ุดูˆูŠุฉ
364
+
365
+ 92
366
+ 00:08:15,910 --> 00:08:20,630
367
+ ู…ุตุทู„ุญุงุช ุฌุฏูŠุฏุฉุŒ ุฃู†ุง ุจู†ุตุญูƒ ุฎู„ู‘ูŠ ุนู†ุฏูƒ ุฏูุชุฑ ู„ุญุงู„ ูˆู‡ูŠูƒ
368
+
369
+ 93
370
+ 00:08:20,630 --> 00:08:28,170
371
+ ู„ู„ู€ .. ู„ู„ู…ุตุทู„ุญุงุช ู‡ุฐูˆู„ ุฒูŠ Center TendencyุŒ Variation
372
+
373
+ 94
374
+ 00:08:28,170 --> 00:08:33,750
375
+ ShapeุŒ InterpretุŒ CovarianceุŒ CorrelationุŒ ู‡ุฐูˆู„
376
+
377
+ 95
378
+ 00:08:33,750 --> 00:08:37,010
379
+ ู…ุตุทู„ุญุงุช ุฃู†ุง ุณุงุฎุฏูŠู†ู‡ุง ุจูƒุซุฑุฉุŒ ูุจุงู„ุชุงู„ูŠ ูƒูˆูŠุณ ูŠูƒูˆู† ุนู†ุฏูƒ
380
+
381
+ 96
382
+ 00:08:37,010 --> 00:08:46,010
383
+ ุชู„ุฎูŠุต ู„ู‡ู… ุงู„ู„ูŠ
384
+
385
+ 97
386
+ 00:08:46,010 --> 00:08:50,980
387
+ ุฃู†ุง ู‡ุชูƒู„ู… ุนู„ู‰ Summary Definitions ุจุนุถ ุงู„ุชุนุฑูŠูุงุชุŒ ูˆ
388
+
389
+ 98
390
+ 00:08:50,980 --> 00:09:15,060
391
+ ู‡ู†ุจุฏุฃ ุจุฃูˆู„ ูˆุงุญุฏ ุงู„ู€ Central Tendency ู…ุฑุฉ
392
+
393
+ 99
394
+ 00:09:15,060 --> 00:09:19,700
395
+ ุซุงู†ูŠุฉ ุงู„ู€ Central Tendency ู…ุนู†ุงู‡ุง ู†ุฒุนุฉ ู…ุฑูƒุฒูŠุฉ
396
+
397
+ 100
398
+ 00:09:27,100 --> 00:09:31,140
399
+ ุงู„ู„ูŠ ู„ูˆ ุณุฃู„ุช ูƒู„ ูˆุงุญุฏุฉ ููŠูƒูˆุง ุนู…ุฑู‡ุงุŒ ู…ู…ูƒู† ูˆุงุญุฏุฉ
400
+
401
+ 101
402
+ 00:09:31,140 --> 00:09:35,080
403
+ ุงู„ุณุจุนุฉ ุนุดุฑุŒ ูˆุงุญุฏุฉ ุซู…ุงู†ูŠุฉ ุนุดุฑุŒ ูˆุงุญุฏุฉ ุนุดุฑูŠู†ุŒ ูˆู‡ุงูƒุฐุงุŒ ู„ูˆ
404
+
405
+ 102
406
+ 00:09:35,080 --> 00:09:38,900
407
+ ุนุงูŠุฒ ุขุฎุฏ ุงู„ู€ Center ุชุจุนูƒู…ุŒ ู‡ุฐุง ุงู„ู€ Center ู…ุนู†ุงู‡
408
+
409
+ 103
410
+ 00:09:38,900 --> 00:09:43,860
411
+ ุงู„ู‚ูŠู… ุชุฌูŠ ุญูˆุงู„ูŠู† ุจุนุถู‡ู…ุŒ ู…ุชูˆุณุทุงุชู‡ู…ุŒ ูุงู„ู€ Center
412
+
413
+ 104
414
+ 00:09:43,860 --> 00:09:50,040
415
+ Tendency is the extent to which the valuesุŒ ุงู„ุนูŠู…ุง
416
+
417
+ 105
418
+ 00:09:50,040 --> 00:09:53,360
419
+ ุฏู‡ ุฃู†ู‡ ููŠ ุนู†ุฏู‡ ู‚ูŠู… of Numerical Variable Group
420
+
421
+ 106
422
+ 00:09:53,360 --> 00:09:57,540
423
+ around a typical or central valueุŒ ูŠุนู†ูŠ ุงู„ู‚ูŠู…
424
+
425
+ 107
426
+ 00:09:57,540 --> 00:10:02,060
427
+ ุชุชู…ุฑูƒุฒ ูˆูŠู†ุŸ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุชูˆุณุทุŒ ูˆุงุญุฏุฉ ู…ู†ู‡ุง ุงู„ู…ุชูˆุณุทุŒ
428
+
429
+ 108
430
+ 00:10:02,060 --> 00:10:05,460
431
+ ู‡ู†ุงุฎุฏู‡ุง ุจุนุฏ ุดูˆูŠุฉุŒ ู„ุฐุง ุงู„ู€ Central ู…ุนู†ุงู‡ุง ุงู„ู‚ูŠู… ุชุชุฌู…ุน
432
+
433
+ 109
434
+ 00:10:05,460 --> 00:10:09,000
435
+ ุฃูˆ ุชุชู…ุฑูƒุฒ ุญูˆุงู„ูŠู† ู‚ูŠู…ุฉ ููŠ ุงู„ู†ุตูุŒ ุจู†ุณู…ูŠู‡ุง ุงู„ู€ Central
436
+
437
+ 110
438
+ 00:10:09,000 --> 00:10:14,200
439
+ ValueุŒ ุงู„ู€ Variation is the amount of dispersion
440
+
441
+ 111
442
+ 00:10:14,200 --> 00:10:21,510
443
+ ุงู†ุชุดุงุฑ ุฃูˆ ุชุดุชุชุŒ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุช or scattering awayุŒ ู…ุด
444
+
445
+ 112
446
+ 00:10:21,510 --> 00:10:26,570
447
+ scattering awayุŒ ุชู†ุชุดุฑ ุจุดูƒู„ ุจุนูŠุฏ ุนู† ุงู„ู€ Central
448
+
449
+ 113
450
+ 00:10:26,570 --> 00:10:31,130
451
+ ValueุŒ ูŠุนู†ูŠ ุงู„ู€ Variation ุจู‚ูŠุณ ูƒู…ูŠุฉ ุงู„ุชุดุชุชุŒ ูŠุนู†ูŠ ุฅุฐุง
452
+
453
+ 114
454
+ 00:10:31,130 --> 00:10:36,450
455
+ ุงู„ุชุดุชุช ุตุบูŠุฑุŒ ูƒุจูŠุฑ ุฃูˆ ู…ุชูˆุณุท that
456
+
457
+ 115
458
+ 00:10:36,450 --> 00:10:40,730
459
+ the values of a numerical variable shownุŒ ุฅุฐุง ุงู„ู€
460
+
461
+ 116
462
+ 00:10:40,730 --> 00:10:44,570
463
+ Variation ุจู‚ูŠุณ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุช ู„ู„ู‚ูŠู… ุนู† ุงู„ู…ุชูˆุณุท
464
+
465
+ 117
466
+ 00:10:44,570 --> 00:10:51,270
467
+ ุงู„ุญุณุงุจูŠุŒ ุทุจ ุงู„ู€ Shape ุงู„ุดูƒู„ is the pattern of the
468
+
469
+ 118
470
+ 00:10:51,270 --> 00:10:56,210
471
+ distribution patternุŒ Pattern ู…ุนู†ุงู‡ ู†ู…ุท ุงู„ุชูˆุฒูŠุน of values
472
+
473
+ 119
474
+ 00:10:56,210 --> 00:10:59,550
475
+ from the lowest value to the largestุŒ ูŠุนู†ูŠ ุดูƒู„
476
+
477
+ 120
478
+ 00:10:59,550 --> 00:11:03,730
479
+ ุงู„ุชูˆุฒูŠุน ู…ู† ุฃุตุบุฑ ู‚ูŠู…ุฉ ู„ุฃูƒุจุฑ ู‚ูŠู…ุฉ ุจู†ุณู…ูŠู‡ the Shape
480
+
481
+ 121
482
+ 00:11:03,730 --> 00:11:11,940
483
+ ุฅุฐุง ููŠ ุนู†ุฏ ุงู„ู€ Central ุงู„ู‚ูŠู… ู…ุฑูƒุฒูŠุฉ ุนู† ู‚ูŠู… ุนุงู…ุฉ ุฃูˆ
484
+
485
+ 122
486
+ 00:11:11,940 --> 00:11:15,760
487
+ ุจุนุถ ุงู„ุฃุญูŠุงู† ุงุณู…ู‡ุง ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉุŒ ู‡ุฐุง ุงุณู…ู‡ุง ุชู†ุฏู†ุณูŠุฉ
488
+
489
+ 123
490
+ 00:11:15,760 --> 00:11:23,180
491
+ ู…ุฑูƒุฒูŠุฉ ู…ุฎุชู„ูุฉุŒ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุช ู…ู† ุงู„ู…ุฑูƒุฒ ูƒู… ุชุดุชุช ุนู„ู‰
492
+
493
+ 124
494
+ 00:11:23,180 --> 00:11:28,760
495
+ ุงู„ู…ุชูˆุณุท ุงู„ุญุณุงุจูŠุŒ ุงู„ุชุงู„ุช ุงู„ุดูƒู„ ู‡ูˆ ุทุฑูŠู‚ุฉ ุงู„ู…ุดุงุฑูƒุฉ ู…ู†
496
+
497
+ 125
498
+ 00:11:28,760 --> 00:11:35,180
499
+ ุฃุตุบุฑ ุฅู„ู‰ ุฃูƒุจุฑุŒ ู…ุง ู‡ูˆ ุฃุตุบุฑุŸ ุฃุตุบุฑุŒ ุฃูƒุจุฑ ู‚ูŠู…ุฉุŒ ู‡ุฐูˆู„ ุงู„ู€
500
+
501
+ 126
502
+ 00:11:35,180 --> 00:11:39,260
503
+ three definitions ู‡ู†ุงุฎุฏ ูƒู„ ูˆุงุญุฏ ุจุงู„ุชูุตูŠู„ุŒ The first
504
+
505
+ 127
506
+ 00:11:39,260 --> 00:11:44,880
507
+ one talks about Measures of Central TendencyุŒ ู†ุงุฎุฏ
508
+
509
+ 128
510
+ 00:11:44,880 --> 00:11:53,620
511
+ ู…ู‚ูŠุงุณ ู„ู‡ู…ุŒ ุฃูˆู„ ู…ู‚ูŠุงุณ is called the Mean ูƒู„ู†ุง ุจู†ุนุฑู
512
+
513
+ 129
514
+ 00:11:53,620 --> 00:11:53,960
515
+ ุงู„ู€ Mean
516
+
517
+ 130
518
+ 00:11:56,810 --> 00:12:01,090
519
+ ุงู„ู€ Mean ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู…ุชูˆุณุท ุญุณุงุจูŠุŒ It's called the
520
+
521
+ 131
522
+ 00:12:01,090 --> 00:12:06,030
523
+ Arithmetic Mean ุฃูˆ ู„ุณู‡ ูˆู„ุง ุจู†ุญูƒูŠุŒ Often just called
524
+
525
+ 132
526
+ 00:12:06,030 --> 00:12:10,690
527
+ the Mean ุจุณ ุจุญูƒูŠ ุนู†ู‡ the MeanุŒ It's
528
+
529
+ 133
530
+ 00:12:10,690 --> 00:12:15,890
531
+ the most common measure of Central TendencyุŒ ุฅูŠุด
532
+
533
+ 134
534
+ 00:12:15,890 --> 00:12:20,090
535
+ ูŠุนู†ูŠ Most Common Measure of Central TendencyุŸ ุฃุดู‡ุฑ
536
+
537
+ 135
538
+ 00:12:20,090 --> 00:12:24,810
539
+ ู…ู‚ูŠุงุณ ุฃูˆ ุงู„ู…ู‚ูŠุงุณ ุงู„ุฃูƒุซุฑ ุดูŠูˆุนู‹ุง ุฃูˆ ุงู„ู…ู‚ูŠุงุณ ุงู„ุฃูƒุซุฑ
540
+
541
+ 136
542
+ 00:12:24,810 --> 00:12:29,770
543
+ ุงุณุชุฎุฏุงู…ู‹ุงุŒ ุฅุฐุง ุฃูƒุซุฑ ู…ู‚ูŠุงุณ ุณู†ุณุชุฎุฏู…ู‡ ุงู„ู€ MeanุŒ ุงู„ู€ Mean
544
+
545
+ 137
546
+ 00:12:29,770 --> 00:12:34,310
547
+ ู‡ูˆ ุฃูƒุซุฑ ู…ู‚ูŠุงุณ ุนุงู… ู„ู„ุชู†ุฏู†ุณูŠุฉ ุงู„ู…ุฑูƒุฒูŠุฉุŒ ุงู„ุขู† ุงู„ุณุคุงู„
548
+
549
+ 138
550
+ 00:12:34,310 --> 00:12:37,450
551
+ ู‡ูˆ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
552
+
553
+ 139
554
+ 00:12:37,450 --> 00:12:40,150
555
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
556
+
557
+ 140
558
+ 00:12:40,150 --> 00:12:40,730
559
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
560
+
561
+ 141
562
+ 00:12:40,730 --> 00:12:42,880
563
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ ุงุญู†ุง ู†ุฃุฎุฐ
564
+
565
+ 142
566
+ 00:12:42,880 --> 00:12:46,840
567
+ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ุฃูˆ ู…ุฌู…ูˆุนุฉ ุตูุฑ ู†ุŒ ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง ู†
568
+
569
+ 143
570
+ 00:12:46,840 --> 00:12:52,640
571
+ ุทู„ุงุจุŒ ู† ู…ุซู„ู‹ุง ุฃูˆ ู…ู„ุงุญุธุงุช ู† ุฃูˆ ู…ุฌู…ูˆุนุฉ ู†ุŒ ุงู„ู…ุฌู…ูˆุนุฉ
572
+
573
+ 144
574
+ 00:12:52,640 --> 00:12:55,800
575
+ ู…ุฎุชู„ูุฉุŒ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ
576
+
577
+ 145
578
+ 00:12:55,800 --> 00:12:56,040
579
+ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ
580
+
581
+ 146
582
+ 00:12:56,040 --> 00:12:59,480
583
+ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ
584
+
585
+ 147
586
+ 00:12:59,480 --> 00:12:59,540
587
+ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ
588
+
589
+ 148
590
+ 00:12:59,540 --> 00:13:03,040
591
+ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ ู…ู‚ุตูˆุฏุฉ
592
+
593
+ 149
594
+ 00:13:03,040 --> 00:13:07,300
595
+ ู…ู‚ุตูˆุฏุฉ ู…
596
+
597
+ 150
598
+ 00:13:10,740 --> 00:13:15,720
599
+ ู…ู…ูƒู† ุฃุณู…ูŠู‡ Y bar ู„ูƒู† ุบุงู„ุจู‹ุง ู†ุณุชุฎุฏู… X barุŒ ุฅุฐุง X bar
600
+
601
+ 151
602
+ 00:13:15,720 --> 00:13:20,640
603
+ it stands for the mean or the arithmetic meanุŒ X
604
+
605
+ 152
606
+ 00:13:20,640 --> 00:13:26,700
607
+ bar equals .. we have a new symbol hereุŒ this
608
+
609
+ 153
610
+ 00:13:26,700 --> 00:13:32,700
611
+ called summationุŒ Summation
612
+
613
+ 154
614
+ 00:13:32,700 --> 00:13:38,200
615
+ ูŠุนู†ูŠ ู…ุฌู…ูˆุนุŒ Summation
616
+
617
+ 155
618
+ 00:13:38,200 --> 00:13:40,140
619
+ of X I
620
+
621
+ 156
622
+ 00:13:48,720 --> 00:13:53,940
623
+ ุงู„ู‚ูŠู…ุฉ ุฑู‚ู… IุŒ ูŠุนู†ูŠ ุฅูŠุด ุงู„ู‚ูŠู…ุฉ ุฑู‚ู… IุŸ ุนู„ู‰ ุณุจูŠู„
624
+
625
+ 157
626
+ 00:13:53,940 --> 00:14:03,180
627
+ ุงู„ู…ุซุงู„ุŒ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู‚ูŠู… 16ุŒ 20ุŒ 26ุŒ 30ุŒ 40ุŒ 50
628
+
629
+ 158
630
+ 00:14:03,180 --> 00:14:11,020
631
+ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒุŒ ุงู„ุขู† ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูˆู„ู‰ 16 ู†ุณุชุฎุฏู… X1 ู„ู€ 16 ูู€ X1
632
+
633
+ 159
634
+ 00:14:11,020 --> 00:14:17,200
635
+ ู‡ูŠ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉ
636
+
637
+ 160
638
+ 00:14:17,200 --> 00:14:18,300
639
+ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„
640
+
641
+ 161
642
+ 00:14:18,300 --> 00:14:18,760
643
+ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉ
644
+
645
+ 162
646
+ 00:14:18,760 --> 00:14:19,440
647
+ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„
648
+
649
+ 163
650
+ 00:14:19,440 --> 00:14:20,200
651
+ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉ
652
+
653
+ 164
654
+ 00:14:20,200 --> 00:14:21,880
655
+ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„
656
+
657
+ 165
658
+ 00:14:21,880 --> 00:14:22,720
659
+ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉ
660
+
661
+ 166
662
+ 00:14:22,720 --> 00:14:34,500
663
+ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ ุฃูˆู„
664
+
665
+ 167
666
+ 00:14:34,500 --> 00:14:41,090
667
+ ู‚ูŠู…ุฉุŒ ุฃูˆู„ ู‚ูŠู…ุฉุŒ 6ุŒ 1ุŒ 2ุŒ 3 ุฅู„ู‰ 6ุŒ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง 6
668
+
669
+ 168
670
+ 00:14:41,090 --> 00:14:46,590
671
+ ู…ู„ุงุญุธุงุชุŒ ู„ุฐู„ูƒ ุตู…ู… ุงู„ู…ุฌู…ูˆุนุฉ ูŠู‚ู„ 6ุŒ ู„ุฐู„ูƒ ุตู…ู… XIุŒ I
672
+
673
+ 169
674
+ 00:14:46,590 --> 00:14:55,730
675
+ ูŠุชุฌู‡ ู…ู† 1 ุฅู„ู‰ 6ุŒ ูŠุนู†ูŠ X1 plus X2 ุฅู„ู‰ XNุŒ ุชู‚ู„ ู…ู† NุŒ
676
+
677
+ 170
678
+ 00:14:55,730 --> 00:15:06,290
679
+ ู…ุง ู‡ูˆ NุŸ N ู‡ูˆ ุตู…ู… ุงู„ู…ุฌู…ูˆุนุฉุŒ So the mean equals
680
+
681
+ 171
682
+ 00:15:06,290 --> 00:15:13,290
683
+ summation of XI divided by NุŒ Now once again X bar
684
+
685
+ 172
686
+ 00:15:13,290 --> 00:15:19,650
687
+ pronounced as X barุŒ This symbol is called
688
+
689
+ 173
690
+ 00:15:19,650 --> 00:15:25,930
691
+ summationุŒ ู‡ุฐุง ู…ุณู…ู‰ ุงู„ู…ุฌู…ูˆุนุŒ ุงู„ู€ Xุงุช ู‡ุฐูˆู„ ุนุจุงุฑุฉ ุนู† ุงู„ู€
692
+
693
+ 174
694
+ 00:15:25,930 --> 00:15:29,070
695
+ observed valuesุŒ ุงู„ู‚ูŠู… ุงู„ู…ุดุงู‡ุฏุฉุŒ ุฅูŠุด ุงู„ู€ Observed
696
+
697
+ 175
698
+ 00:15:29,070 --> 00:15:34,670
699
+ ุงู„ู„ูŠ ู‡ูˆ ู…ุฏุฑุณุฉ 16 ู‡ู‚ูˆู„ observedุŒ Observed ูŠุนู†ูŠ
700
+
701
+ 176
702
+ 00:15:34,670 --> 00:15:40,230
703
+ ุงู„ู…ู„ุงุญุธุฉุŒ ุงู„ู‚ูŠู… ุงู„ู…ุดุงู‡ุฏุฉ ุฃูˆ ุงู„ู…ู„ุงุญุธุฉุŒ ุฅู† ู‡ู…ุง ุนุดุฑูŠู†ุŒ
704
+
705
+ 177
706
+ 00:15:40,230 --> 00:15:42,150
707
+ ุณุชุฉ ูˆุนุดุฑูŠู†ุŒ ุซู„ุงุซูŠู† ูˆู…ุง ูƒุงู†ุŒ Similar Observed
708
+
709
+ 178
710
+ 00:15:42,150 --> 00:15:45,670
711
+ valuesุŒ ุฅุฐุง
712
+
713
+ 179
714
+ 00:15:45,6
715
+
716
+ 216
717
+ 00:19:30,040 --> 00:19:34,200
718
+ 100 ู‡ูŠ ู‚ูŠู…ุฉ ุฃูƒุซุฑุŒ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉุŒ outlierุŒ ู‚ูŠู…ุฉ ุดุงุฐุฉ
719
+
720
+ 217
721
+ 00:19:34,200 --> 00:19:40,540
722
+ ู„ูˆ ุถูุช ุงู„ู…ุฆุฉ ุนู„ูŠู‡ู…ุŒ ุงู„ู€ new mean ู…ุด ู‡ูŠุณุงูˆูŠ 145ุŒ ุงู„ู€ sample size ู‡ูˆ 10 ู„ุฃู†ู†ุง ู‚ู…ู†ุง ุจุฅุถุงูุฉ ู‚ูŠู…ุฉ
723
+
724
+ 218
725
+ 00:19:40,540 --> 00:19:45,700
726
+ ูˆุงุญุฏุฉุŒ 14.5 ู„ุญุธุฉุŒ
727
+
728
+ 219
729
+ 00:19:45,700 --> 00:19:51,180
730
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู‚ุฏูŠู…ุฉ ูƒุงู†ุช 5ุŒ ูˆ ุงู„ุขู† ุชุตุจุญ 14.5 ู‡ุฐุง ูŠุนู†ูŠ
731
+
732
+ 220
733
+ 00:19:51,180 --> 00:19:55,080
734
+ ุฃู† ุงู„ู‚ูŠู…ุฉ ุชุชุฃุซุฑ ู…ู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุซุฑุŒูˆุงุถุญ ุฃู†ู‡ ูŠุชุฃุซุฑ
735
+
736
+ 221
737
+ 00:19:55,080 --> 00:20:00,300
738
+ ุงู„ู‚ูŠู… ุงู„ูƒุจูŠุฑุฉุŒ ุชู„ุงุญุธ ุงู„ู‚ูŠู…ุฉ ูƒุงู†ุช ุฎู…ุณุฉ ุตุงุฑุช ุฃุฑุจุนุฉ ุนุดุฑ
739
+
740
+ 222
741
+ 00:20:00,300 --> 00:20:04,820
742
+ ูˆ ู†ุตู ุชู‚ุฑูŠุจุง ุซู„ุงุซุฉ ุถุนูุŒ ุนุดุง๏ฟฝ๏ฟฝ ูƒุฏู‡ ุจู†ุญูƒูŠ the mean is
743
+
744
+ 223
745
+ 00:20:04,820 --> 00:20:08,480
746
+ affected by extreme value ุฅุฐุง ุจุชุฃุซุฑ ุจุงู„ู‚ูŠู… ุงู„ุดุงุฐุฉ
747
+
748
+ 224
749
+ 00:20:08,480 --> 00:20:13,040
750
+ ู‡ูŠ
751
+ 225
752
+ 00:20:13,040 --> 00:20:16,500
753
+ ูŠุนู†ูŠ ู„ุฃู† ุจู‚ุฏุฑุด ุฃุฌูŠุจ ุนู„ูŠู‡ุง ุงู„ุณุคุงู„ุŒ ู‡ู†ุฎู„ูŠู‡ ู„ูุจุนุฏูŠู† ู„ู…ุง
754
+
755
+ 226
756
+ 00:20:16,500 --> 00:20:20,580
757
+ ู†ุงุฎุฏ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ู€ box plot ู„ูƒู† ู…ุจุฏุฆูŠุง ุงู„ู€ twenty
758
+
759
+ 227
760
+ 00:20:20,580 --> 00:20:25,500
761
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ุชู„ุงุญุธูŠู‡ุŒ ุงู„ู€ 13 ู„ 14 ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุนุดุงู† ูƒุฏู‡
762
+
763
+ 228
764
+ 00:20:25,500 --> 00:20:31,620
765
+ ุงู„ู€ 20 ู…ู…ูƒู† ู…ุด extreme value ู„ูƒู† ู„ู…ุง ุญุทูŠู†ุง ุงู„ู…ูŠุฉ ู…ู†
766
+
767
+ 229
768
+ 00:20:31,620 --> 00:20:37,040
769
+ 5 ู„ 14 ูˆ ู†ุตูุŒ ูˆุงุถุญ ุงู„ู…ุณุงูุฉ ูƒุจูŠุฑุฉ ุจูŠู†ู‡ู… ู„ูƒู† ู…ู‚ุฏุฑุด
770
+
771
+ 230
772
+ 00:20:37,040 --> 00:20:42,360
773
+ ุฃุญุฏุฏ ุงู„ุขู†ุŒ ู„ูƒู† ูˆุงุถุญ ุฃู†ู‡ ููŠ ุงู„ู€ data ุงู„ุฃูˆู„ู‰ ุงู„ู€ 20 is
774
+
775
+ 231
776
+ 00:20:42,360 --> 00:20:46,840
777
+ not that extreme value ู…ุด ูƒุชูŠุฑ ุจุนูŠุฏุฉ ุนุดุงู† ูƒุฏู‡ ุงู„ู€
778
+
779
+ 232
780
+ 00:20:46,840 --> 00:20:50,160
781
+ mean ูƒุงู† 13 ุตุงุฑ 14 ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑุŒ ุณุคุงู„ูƒ ูƒูˆูŠุณ ุจุณ ุฃุฌุงูˆุจ
782
+
783
+ 233
784
+ 00:20:50,160 --> 00:20:56,740
785
+ ุนู„ูŠู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ุฎู„ุงู„ ุงู„ู„ู‚ุงุกุงุช ุงู„ู„ูŠ ุฌุงูŠุฉุŒ the
786
+
787
+ 234
788
+ 00:20:56,740 --> 00:21:01,940
789
+ next measure is called the medianุŒ ุงูŠุด medianุŸ ูˆุณูŠุท
790
+
791
+ 235
792
+ 00:21:01,940 --> 00:21:07,740
793
+ ุงู„ู€ median ู…ุนู†ุงู‡ ุงู„ูˆุณูŠุทุŒ ุชุนุฑู
794
+
795
+ 236
796
+ 00:21:07,740 --> 00:21:13,140
797
+ ุงู„ูˆุณูŠุทุŒ the value in the middleุŒ ุงู„ู‚ูŠู…ุฉ ููŠ ุงู„ูˆุณุท
798
+
799
+ 237
800
+ 00:21:13,140 --> 00:21:17,480
801
+ ุจุนุฏ ู…ุง ู†ุฑุชุจ ุงู„ู€ data ู…ู† smallest to largest
802
+
803
+ 238
804
+ 00:21:17,480 --> 00:21:20,520
805
+ ู„ู…ุง ุฃุฑุชุจ ุงู„ู‚ูŠู… ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ ุดูˆูŠุฉ ู‚ูŠู…
806
+
807
+ 239
808
+ 00:21:20,520 --> 00:21:23,500
809
+ ุจุชุฑุชุจูŠู‡ู… ู…ู† ุงู„ุตุบูŠุฑ ู„ู„ูƒุจูŠุฑ ุฃูˆ ุงู„ุนูƒุณุŒ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ููŠ
810
+
811
+ 240
812
+ 00:21:23,500 --> 00:21:27,280
813
+ ุงู„ูˆุณุท ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู€ medianุŒ ู…ุนู†ุงู‡ ู‚ูŠู…ุฉ ููŠ ุงู„ูˆุณุท
814
+
815
+ 241
816
+ 00:21:27,280 --> 00:21:30,360
817
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจุชุณุงูˆูŠ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ูŠุนู†ูŠ
818
+
819
+ 242
820
+ 00:21:30,360 --> 00:21:33,140
821
+ ุนุฏุฏ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุจุชุณุงูˆูŠ ุนุฏุฏ ุงู„ู‚ูŠู… ุงู„ู„ูŠ
822
+
823
+ 243
824
+ 00:21:33,140 --> 00:21:36,280
825
+ ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ู‡ุฐุง ู…ุนู†ุงู‡ in an ordered array ููŠ ู…ุตููˆูุฉ
826
+
827
+ 244
828
+ 00:21:36,280 --> 00:21:40,460
829
+ ู…ุฑุชุจุฉุŒ the median is the middle numberุŒ middle number
830
+
831
+ 245
832
+ 00:21:40,460 --> 00:21:47,550
833
+ ุงู„ู‚ูŠู…ุฉ ุงูŠุดุŸ ููŠ ุงู„ู…ู†ุชุตูุŒ ู…ุนู†ู‰ ุงู„ู‚ูŠู…ุฉ ููŠ ุงู„ู…ู†ุชุตู ูŠุนู†ูŠ
834
+
835
+ 246
836
+ 00:21:47,550 --> 00:21:52,490
837
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ above ูˆุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ below ู„ุฃู†
838
+
839
+ 247
840
+ 00:21:52,490 --> 00:21:59,010
841
+ ูˆูŠู† ุงู„ูˆุณุท ููŠ ุฃุตุงุจุนูƒุŸ ููŠ ุงู„ู†ุต ู…ุธุจูˆุทุŒ ุฅูŠุด ู…ุนู†ู‰ ููŠ
842
+
843
+ 248
844
+ 00:21:59,010 --> 00:22:02,970
845
+ ุงู„ู†ุตุŸ ูŠุนู†ูŠ ุงุซู†ูŠู† ุนู„ู‰ ุงู„ุดู…ุงู„ ูˆุงุซู†ูŠู† ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ
846
+
847
+ 249
848
+ 00:22:02,970 --> 00:22:05,850
849
+ ุงู„ู€ middleุŒ and the value in the middle when we
850
+
851
+ 250
852
+ 00:22:05,850 --> 00:22:07,490
853
+ arrange the data from smallest to largest ุฃูˆ ู…ู†
854
+
855
+ 251
856
+ 00:22:07,490 --> 00:22:10,350
857
+ largest to smallestุŒ ุฃุฑุจุนุฉ ู‡ูˆ ู†ูุณ ุงู„ูƒู„ุจ ุงู„ุตุบูŠุฑ ุฃูŠู‡ุง
858
+
859
+ 252
860
+ 00:22:10,350 --> 00:22:15,190
861
+ ุจุชุญูƒูŠ .. ู„ูˆ ูƒุงู† ุฃุนุฏุงุฏู‡ู… ุฃุฑุจุนุฉ ู‡ุฌูŠุจ ู„ูƒ ุฃุณูˆุฃ ุจุนุฏ ุงู„ู€
862
+
863
+ 253
864
+ 00:22:15,190 --> 00:22:21,090
865
+ slide ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ุดุบู„ ุงู„ุทุจูŠุนูŠ ู„ูˆ ูƒุงู†
866
+
867
+ 254
868
+ 00:22:21,090 --> 00:22:25,710
869
+ ู‡ุฐุง ุดูˆูŠุฉ ู‚ูŠู… ุงู„ู€ median ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุจุนุฏ
870
+
871
+ 255
872
+ 00:22:25,710 --> 00:22:27,990
873
+ ู…ุง ู†ุฑุชุจู‡ู… ูˆุนู„ู‰ ูŠู…ูŠู†ู‡ู… ุจุณูˆุก ุนู„ู‰ ุดู…ุงู„ู‡ู…ุŒ ุฎู„ูŠู†ุง ู†ุดูˆูู‡ุง
874
+
875
+ 256
876
+ 00:22:27,990 --> 0:22:32,810
877
+ ุจุนุฏ ุดูˆูŠุฉุŒ ู…ุง ู†ุณุชุนุฌู„ุด ูŠุนู†ูŠ ุฌุงูˆุจ ุนู„ู‰ ุณุคุงู„ูƒ ุจุนุฏ ุดูˆูŠุฉ
878
+
879
+ 257
880
+ 00:22:32,810 --> 00:22:35,730
881
+ ุชุทู„ุน ุนู„ู‰ ุงู„ู‚ูŠู… ู‡ุฐูˆู„ ู†ูุณ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ูุงุชุช 11 .. 12 ..
882
+
883
+ 258
884
+ 00:22:35,730 --> 00:22:39,710
885
+ 13 .. 14 .. 15 .. The median and the value in the
886
+
887
+ 259
888
+ 00:22:39,710 --> 00:22:42,570
889
+ middleุŒ ูˆู‡ุฏูˆู„ ูˆุงุถุญ ุฃู†ู‡ we arrange the dataุŒ ู…ุฑุชุจูŠู†
890
+
891
+ 260
892
+ 00:22:42,570 --> 00:22:45,810
893
+ ุงู„ู€ value in the middle ู‡ูŠ
894
+
895
+ 261
896
+ 00:22:45,810 --> 00:22:51,950
897
+ ุงู„ู€ median ู„ุญุธุฉ
898
+
899
+ 262
900
+ 00:22:51,950 --> 00:22:56,610
901
+ 13 ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ 13 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ุฃู† ู‡ู†ุงูƒ
902
+
903
+ 263
904
+ 00:22:56,610 --> 00:23:01,880
905
+ ุงุซู†ูŠู† ุชุญุช 13 ูˆุงุซู†ูŠู† ููˆู‚ู‡ุงุŒ ุงุซู†ูŠู† ุฃู‚ู„ ูˆ
906
+
907
+ 264
908
+ 00:23:01,880 --> 00:23:06,060
909
+ ุงุซู†ูŠู† ุฃุนู„ู‰ ู„ุฐู„ูƒ 13 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉุŒ ู„ุญุธุฉ
910
+
911
+ 265
912
+ 00:23:06,060 --> 00:23:11,960
913
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ูƒุงู†ุช 30 ุจุฑุถู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ
914
+
915
+ 266
916
+ 00:23:11,960 --> 00:23:14,440
917
+ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ
918
+
919
+ 267
920
+ 00:23:14,440 --> 00:23:15,400
921
+ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ
922
+
923
+ 268
924
+ 00:23:15,400 --> 00:23:18,240
925
+ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ
926
+
927
+ 269
928
+ 00:23:18,240 --> 00:23:18,700
929
+ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ
930
+
931
+ 270
932
+ 00:23:18,700 --> 00:23:23,340
933
+ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ 3ุŒ
934
+
935
+ 271
936
+ 00:23:26,230 --> 00:23:28,710
937
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ median ู…ุง ุชุฃุซุฑุชุด ุจุงู„ู€ extreme value
938
+
939
+ 272
940
+ 00:23:28,710 --> 00:23:35,250
941
+ ู…ุธุจูˆุทุŸ ู‡ู†ุงูƒ ูƒุงู†ุช 14 ุชุฃุซุฑ ุงู„ู€ meanุŒ ุงู„ู€ median ู„ูƒู†
942
+
943
+ 273
944
+ 00:23:35,250 --> 00:23:37,970
945
+ ูˆุงุถุญ ุฅู† ุงู„ู€ median is not affected by largest
946
+
947
+ 274
948
+ 00:23:37,970 --> 00:23:41,630
949
+ value ูŠุนู†ูŠ ุงู„ู€ 15 ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุบู…ุถุช ุนู„ูŠู‡ุง ูˆุญุทูŠุช ุจุฏู„ู‡ุง 200 ุชู…ุงู… ุงู„ู€ median ูƒุฏู‡ุŸ 13 ู…ุน ูƒุฏู‡ ุงู„ู€
950
+
951
+ 275
952
+ 00:23:41,630 --> 00:23:48,210
953
+ outliers ู…ุง ู„ู‡ุงุด ู‚ูŠู…ุฉ ู‡ู†ุง ูŠุนู†ูŠ ุงู„ู€ median is not
954
+
955
+ 276
956
+ 00:23:48,210 --> 00:23:52,470
957
+ affected by extreme outliers or outliers as the
958
+
959
+ 277
960
+ 00:23:52,470 --> 00:23:58,790
961
+ meanุŒ ุฅุฐุง ุงู„ู€ median is less sensitive ุฃู‚ู„ ุญุณุงุณูŠุฉ
962
+
963
+ 278
964
+ 00:23:58,790 --> 00:24:04,910
965
+ ู…ู† ุงู„ู€ median ู„ extreme valuesุŒ ู…ุน ูƒุฏู‡ ุงู„ู€ outlier
966
+
967
+ 279
968
+ 00:24:04,910 --> 00:24:09,710
969
+ ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ู€ mean ุฃูƒุซุฑ ู…ู† ุงู„ู€ medianุŒ ุงู„ู€
970
+
971
+ 280
972
+ 00:24:09,710 --> 00:24:15,810
973
+ outlier ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ู€ mean ุฃูƒุซุฑ ู…ู†ู‡ุง ุนู„ู‰ ุงู„ู€ median
974
+
975
+ 281
976
+ 00:24:15,810 --> 00:24:19,790
977
+ ุฅุฐุง ุงู„ู€ outliers ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ู€ mean ุฃูƒุซุฑ ุนู„ู‰ ุงู„ู€ mean
978
+
979
+ 282
980
+ 00:24:19,790 --> 00:24:24,770
981
+ ุงู„ู€ mean ุงู„ู„ูŠ ูุงุช ู„ุญุธุฉ ูƒุงู† 13 ุตุงุฑ 14ุŒ ู‡ู†ุง
982
+
983
+ 283
984
+ 00:24:24,770 --> 00:24:31,790
985
+ ุงู„ู€ median ู…ุง ุฒุงู„ the same value ูŠุนู†ูŠ ุจุนุฏ ูƒุฏู‡ if we
986
+
987
+ 284
988
+ 00:24:31,790 --> 00:24:36,250
989
+ replace the largest value by any other value
990
+
991
+ 285
992
+ 00:24:36,250 --> 00:24:39,830
993
+ larger than that one then the median stay the same
994
+
995
+ 286
996
+ 00:24:39,830 --> 00:24:43,150
997
+ ุจุชุฃุซุฑุด ูˆู„ูˆ ุชุฃุซุฑุช ุชุฃุซูŠุฑู‡ุง ู…ุด ูƒุจูŠุฑุŒ ุชุทู„ุน ุงู„ู€ example
998
+
999
+ 287
1000
+ 00:24:43,150 --> 00:24:47,870
1001
+ ุงู„ู„ูŠ ูุงุช ู…ู† 1 ุฅู„ู‰ 9 ุญูƒูŠู†ุง ุงู„ู€ mean was 5
1002
+
1003
+ 288
1004
+ 00:24:47,870 --> 00:24:51,570
1005
+ ูˆู„ู…ุง ุถูู†ุง ุงู„ู…ุฆุฉ ุตุงุฑ ุงู„ู€ mean 14.5 ุทุจ ุทู„ุน ุงู„ู€ median
1006
+
1007
+ 289
1008
+ 00:24:53,820 --> 00:25:01,200
1009
+ ููŠ ุงู„ู€ data ุงู„ุฃูˆู„ู‰ ุฃูˆ ุงู„ู€ median ู…ุง ุชุฃุซุฑุด ู‡ูŠ ููŠ ุงู„ู†ุต
1010
+
1011
+ 290
1012
+ 00:25:01,200 --> 00:25:08,100
1013
+ ู…ุธุจูˆุทุŒ ููˆุงุถุญ ุงู„ู€ mean ูˆุงู„ู€ median ู…ุง ู„ู‡ู… ุฒูŠ ุจุนุถ ุฅู„ุง
1014
+
1015
+ 291
1016
+ 00:25:08,100 --> 00:25:14,560
1017
+ ู„ู…ุง ุถูุช ุงู„ู…ุฆุฉุŒ ู„ุญุธุฉ ู„ู…ุง ุถูุช ุงู„ู…ุฆุฉ ุนู„ูŠู‡ู…
1018
+
1019
+ 292
1020
+ 00:25:14,560 --> 00:25:20,000
1021
+ ุจุทู„ุช ุงู„ุฎู…ุณุฉ ุงู„ู€ median ู„ุฃู†
1022
+
1023
+ 293
1024
+ 00:25:23,150 --> 00:25:27,930
1025
+ ุงู„ุฎู…ุณุฉ ุนู„ู‰ ูŠุณุงุฑู‡ุง four values ูˆุนู„ู‰ ูŠู…ูŠู†ู‡ุง ุฎู…ุณุฉุŒ ู‡ุฐุง
1026
+
1027
+ 294
1028
+ 00:25:27,930 --> 00:25:35,130
1029
+ ูƒุงู† ุชุณุงูˆูŠ ุฒู…ุงู†ูƒ ูˆู„ูŠุด ู…ูŠุฉุŒ ุทุจ ูˆุงู„ุณุชุฉุŸ ุจุฑุถู‡ ุงู„ุณุชุฉ
1030
+
1031
+ 295
1032
+ 00:25:35,130 --> 00:25:39,350
1033
+ ู…ุด the median ู„ุฃู†ู‡ ุนู„ู‰ ูŠุณุงุฑู‡ุง ุฎู…ุณุฉ ูˆุนู„ู‰ ูŠู…ูŠู†ู‡ุง
1034
+
1035
+ 296
1036
+ 00:25:39,350 --> 00:25:42,590
1037
+ ุฃุฑุจุนุฉุŒ ุฅุฐุง ุงู„ู€ median ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ ุงู„ู€ average ู„ู„ู€
1038
+
1039
+ 297
1040
+ 00:25:42,590 --> 00:25:49,550
1041
+ middle pointsุŒ ุงู„ู€ average ู„ู‡ุฏูˆู„ ุงุซู†ูŠู†ุŒ ูุงู„ู€ average
1042
+
1043
+ 298
1044
+ 00:25:49,550 --> 00:25:54,890
1045
+ ุจุชุงุนู‡ู… ุฎู…ุณุฉ ุฒุงุฆุฏ ุณุชุฉ ุนู„ู‰ ุงุซู†ูŠู†ุŒ 5.5 ุฅุฐุง ู„ู…ุง
1046
+
1047
+ 299
1048
+ 00:25:54,890 --> 00:26:02,510
1049
+ ุฃูƒูˆู† ุนู†ุฏูŠ ู‡ุฏูˆู„ ูƒู… ูˆุงุญุฏุฉุŸ ุฃุนุฏู‘ู‡ู… ุนุดุฑุฉ ู…ุด ู‡ูŠูƒุŸ ู„ู…ุง
1050
+
1051
+ 300
1052
+ 00:26:02,510 --> 00:26:08,910
1053
+ ูŠูƒูˆู† even ูŠุนู†ูŠ ุนุฏุฏ ุฒูˆุฌูŠ ุจุชุงุฎุฏ ุงู„ู€ average ู„ู„ู€ two
1054
+
1055
+ 301
1056
+ 00:26:08,910 --> 00:26:15,510
1057
+ middle pointsุŒ five plus six ุนู„ู‰ ุงุซู†ูŠู† ู„ุญุธุฉุŒ ุงู„ู€
1058
+
1059
+ 302
1060
+ 00:26:15,510 --> 00:26:19,470
1061
+ median ูƒุงู† ุฎู…ุณุฉ
1062
+
1063
+ 303
1064
+ 00:26:19,470 --> 00:26:20,690
1065
+ ู„ู…ุง ุถูุช ุนู„ูŠู‡ ุงู„ู…ูŠุฉ ุตุงุฑ ุฌุฏูŠู‡ุด 5.5 ุงุชุบูŠุฑุช
1066
+
1067
+ 304
1068
+ 00:26:23,680 --> 00:26:28,400
1069
+ ู‚ูŠู…ุชู‡ ู…ู† ุฎู…ุณุฉ ู„ุฎู…ุณุฉ ูˆ ู†ุตูุŒ ุฅุฐุง ุงู„ู€ mean ูƒุงู† ุฎู…ุณุฉ ุตุงุฑุช
1070
+
1071
+ 305
1072
+ 00:26:28,400 --> 00:26:34,460
1073
+ 14.5 ู„ูƒู† ุงู„ู€ median ูƒุงู†ุช ุฎู…ุณุฉ ุตุงุฑุช 5.5ุŒ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ู…ูŠู† ุงู„ู€ less sensitiveุŒ ุงู„ู€ mean ูˆู„ุง ุงู„ู€
1074
+
1075
+ 306
1076
+ 00:26:34,460 --> 00:26:42,140
1077
+ medianุŒ ุงู„ู€ median ุฃู‚ู„ ุญุณุงุณูŠุฉ ู‡ูˆ ุงุชุบูŠุฑ ู…ู† ุฎู…ุณุฉ ุตุญูŠุญ
1078
+
1079
+ 307
1080
+ 00:26:42,140 --> 00:26:46,340
1081
+ ู„ู€ 5.5 ุจุณ ุงู„ุชุบูŠุฑ ุจูŠุจู‚ู‰ ุฃู‚ู„ ู…ู† ุชุบูŠุฑ ุงู„ู€ meanุŒ ุงู„ู€
1082
+
1083
+ 308
1084
+ 00:26:46,340 --> 00:26:51,050
1085
+ mean ู…ู† ุฎู…ุณุฉ ู„ู€ 14.5 ูˆุงุถุญ ุฅู† ุงู„ู€ mean ุชุนุชุจุฑ
1086
+
1087
+ 309
1088
+ 00:26:51,050 --> 00:26:55,210
1089
+ extreme valueุŒ ุฅุฐุง in general the median is less
1090
+
1091
+ 310
1092
+ 00:26:55,210 --> 00:26:59,150
1093
+ sensitive than the mean to extreme valueุŒ ุฃู‚ู„
1094
+
1095
+ 311
1096
+ 00:26:59,150 --> 00:27:07,450
1097
+ ุญุณุงุณูŠุฉ
1098
+
1099
+ 312
1100
+ 00:27:07,450 --> 00:27:10,130
1101
+ than the mean to extreme value
1102
+
1103
+ 313
1104
+ 00:27:10,130 --> 00:27:10,750
1105
+ 314
1106
+ 00:27:19,270 --> 00:27:24,230
1107
+ ุงู„ู€ slide ู‡ุฐู‡ ุจุชุชูƒู„ู… ุนู† ู…ูˆู‚ุน ุงู„ู€ medianุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง
1108
+
1109
+ 315
1110
+ 00:27:24,230 --> 00:27:28,990
1111
+ ุชุญุตูŠู„ ู…ูˆู‚ุน ุงู„ู€ medianุŸ ูŠุนู†ูŠ ูƒูŠู ู…ู…ูƒู† ู†ุนู…ู„ ุงู„ู…ูƒุงู†
1112
+
1113
+ 316
1114
+ 00:27:28,990 --> 00:27:36,890
1115
+ ุชุจุน ุงู„ู€ medianุŸ ู‡ู†ุงูƒ ุงุซู†ูŠู† ุญุงู„ุงุชุŒ ุฅุฐุง N ุบุฑูŠุจุŒ N
1116
+
1117
+ 317
1118
+ 00:27:36,890 --> 00:27:43,450
1119
+ ุงูŠุด ุบุฑูŠุจุŸ ุบุฑูŠุจ ู…ุนู†ุงู‡ ุนุฏุฏ ูุฑุฏูŠุŒ ูุฑุฏูŠ ูŠุนู†ูŠ 3ุŒ
1120
+
1121
+ 318
1122
+ 00:27:43,450 --> 00:27:48,040
1123
+ 5ุŒ 7ุŒ 9 ูˆู‡ูƒุฐุงุŒ ููŠ ุงู„ุญุงู„ุฉ ุงู„ู€ location of
1124
+
1125
+ 319
1126
+ 00:27:48,040 --> 00:27:51,260
1127
+ the median when the values are in numerical order
1128
+
1129
+ 320
1130
+ 00:27:51,260 --> 00:27:55,380
1131
+ it means from smallest to largestุŒ the median
1132
+
1133
+ 321
1134
+ 00:27:55,380 --> 00:28:02,720
1135
+ position is n plus one over twoุŒ ู‡ูŠ ุงู„ู€ position so
1136
+
1137
+ 322
1138
+ 00:28:02,720 --> 00:28:11,880
1139
+ n plus one over twoุŒ for this example n was 5 so
1140
+
1141
+ 323
1142
+ 00:28:11,880 --> 00:28:13,180
1143
+ the position of the median
1144
+
1145
+ 324
1146
+ 00:28:16,120 --> 00:28:22,520
1147
+ equal 5 plus 1 over 2ุŒ 3ุŒ ุฅุฐุง ุงู„ู…ูƒุงู† ุชุจุน
1148
+
1149
+ 325
1150
+ 00:28:22,520 --> 00:28:27,440
1151
+ ุฑู‚ู… 3 ุจุนุฏ ู…ุง ู†ุฑุชุจุŒ ู„ุญุธุฉุŒ ู‡ุฐุง ุงู„ู€ first position
1152
+
1153
+ 326
1154
+ 00:28:27,440 --> 00:28:33,720
1155
+ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุฃูˆู„ ู…ูƒุงู† ูˆู‡ุฐุง ุงู„ุซุงู†ูŠ ูˆู‡ุฐุง ุงู„ุซุงู„ุซ ูˆู‡ุฐุง
1156
+
1157
+ 327
1158
+ 00:28:33,720 --> 00:28:38,320
1159
+ ุงู„ุฑุงุจุน ูˆุงู„ุฎุงู…ุณุŒ ุงู„ู€ median is in the third position
1160
+
1161
+ 328
1162
+ 00:28:38,320 --> 00:28:41,200
1163
+ ุงู„ู€ third positionุŒ ู…ูˆู‚ุน ุงู„ุซุงู„ุซ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ 13
1164
+
1165
+ 329
1166
+ 00:28:41,200 --> 00:28:43,820
1167
+ ู„ุญุธุฉุŒ ุงู„ู€ 3 is not the median
1168
+
1169
+ 330
1170
+ 00:28:47,860 --> 00:28:52,540
1171
+ is not the medianุŒ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ู€ position ุชุจุนู‡
1172
+
1173
+ 331
1174
+ 00:28:52,540 --> 00:28:55,720
1175
+ position of the medianุŒ ุฅูŠุด ุจูŠุทู„ุน ุฏุงุฆู…ุง ูุฑุฏูŠุŒ ุงู‡ ู„ูˆ
1176
+
1177
+ 332
1178
+ 00:28:55,720 --> 00:29:01,040
1179
+ ูƒุงู† ู‡ุฐุง ุงู„ู€ 6 ุนู„ู‰ 2 ูุฑุฏูŠุŒ ู„ูˆ 9ุŒ 9 ุฒูŠ 1
1180
+
1181
+ 333
1182
+ 00:29:01,040 --> 00:29:07,940
1183
+ 2 ูุฑุฏูŠ ูˆูƒุฐุงุŒ ุทุจ ุงู„ู…ุซู„ุฉ ุนุฏุฏู‡ู… ูƒุงู…ุŸ 9ุŒ 9 ุฒูŠ
1184
+
1185
+ 334
1186
+ 00:29:07,940 --> 00:29:12,630
1187
+ 1ุŒ 2ุŒ 5 ุงู„ู…ูƒุงู† ุฑู‚ู… 5 ู‡ู†ุง ุทู„ุน 5
1188
+
1189
+ 335
1190
+ 00:29:12,630 --> 00:29:16,930
1191
+ ุจุงู„ุตุฏูุฉุŒ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ูŠุทู„ุน 5 ู‡ูˆ 5ุŒ ู„ุญุธุฉ ู‡ู†ุง ุทู„ุน
1192
+
1193
+ 336
1194
+ 00:29:16,930 --> 00:29:22,630
1195
+ ุงู„ุซุงู„ุซ 13 ู…ุด ุจุงู„ุถุฑูˆุฑุฉุŒ ุฅุฐุง ุงู„ู€ median position n
1196
+
1197
+ 337
1198
+ 00:29:22,630 --> 00:29:27,710
1199
+ plus one over twoุŒ if the number of values is odd
1200
+
1201
+ 338
1202
+ 00:29:27,710 --> 00:29:31,650
1203
+ ุฅุฐุง ุนุฏุฏู‡ู… ูุฑุฏูŠุŒ the median is the middle number
1204
+
1205
+ 339
1206
+ 00:29:31,650 --> 00:29:38,770
1207
+ ุงู„ู„ูŠ ู‚ุจู„ ููŠ ุงู„ู†ุตุŒ if the number is evenุŒ ุฅุฐุง ูƒุงู† ุฒูˆุฌูŠ
1208
+
1209
+ 340
1210
+ 00:29:38,770 --> 00:29:42,950
1211
+ ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ุถูู†ุง ุงู„ู…ูŠุฉุŒ ุชูˆุฅุฐุง ูƒุงู†ุช ุงู„ู…ู‚ุงู„ุฉ ู…ุฑุชุจุทุฉุŒ
1212
+
1213
+ 341
1214
+ 00:29:42,950 --> 00:29:45,970
1215
+ ูุฅู† ู…ู‚ุงู„ุฉ ุงู„ู€ median ู‡ูŠ ุนุงู…ู„ุฉ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงู„ูŠู† ุฃูˆ
1216
+
1217
+ 342
1218
+ 00:29:45,970 --> 00:29:49,430
1219
+ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงู„ูŠู†ุŒ ู„ุญุธุฉุŒ ู‡ู†ุง ุฃุฎุฐู†ุง ุนุงู…ู„ุฉ ุงู„ุงุซู†ูŠู†
1220
+
1221
+ 343
1222
+ 00:29:49,430 --> 00:29:55,850
1223
+ ุงู„ู…ู‚ุงู„ูŠู† ู„ู€ 5 ูˆ 6 ูˆ 2ุŒ ูˆุงุจู‚ู‰ ููŠ ุฐูƒุฑ ุฃู† N plus 1 over 2 ู„ูŠุณ
1224
+
1225
+ 344
1226
+ 00:29:55,850 --> 00:30:01,450
1227
+ ู…ู‚ุงู„ุฉ ุงู„ู€ median ูู‚ุท
1228
+
1229
+ 345
1230
+ 00:30:01,450 --> 00:30:06,570
1231
+ ู…ู‚ุงู„ุฉ ุงู„ู€ median ููŠ ุญุงู„ุฉ ุนุงู…ู„ุฉุŒ ุฅุฐุง ุงู„ู…ูƒุงู† ุชุจุนู‡ N plus
1232
+
1233
+ 346
1234
+ 00:30:06,570 --> 00:30:09,450
1235
+ 1 over 2ุŒ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ู…ุฎุชุงุฑ ู…ุฑุชุจุทุŒ ุญูƒูŠู†ุง ุงูŠุด ุงู„ู€ position
1236
+
1237
+ 347
1238
+ 00:30:11,720 --> 00:30:16,720
1239
+ ุชุจุนู‡ุŒ ุงู„ู€ equation ุนุจุงุฑุฉ ุนู† n plus one over two ู‡ุฐุง
1240
+
1241
+ 348
1242
+ 00:30:16,720 --> 00:30:21,460
1243
+ ู„ูˆ ูƒุงู†ุช n is oddุŒ ุฅุฐุง ูƒุงู† even ุจู†ุงุฎุฏ ุงู„ู€ middle ุงู„ู€
1244
+
1245
+ 349
1246
+ 00:30:21,460 --> 00:30:25,000
1247
+ average ู„ู€ two middle pointsุŒ ุทุจุนุง ุงู„ู€ two middle
1248
+
1249
+ 350
1250
+ 00:30:25,000 --> 00:30:37,620
1251
+ points ุงู„ู„ูŠ ุทู„ุน ุนู„ูŠู‡ู… ู‡ู†ุงุŒ suppose
1252
+
1253
+ 351
1254
+ 00:30:37,620 --> 00:30:42,820
1255
+ we have this dataุŒ ุงู„ุขู† even ุฃูˆ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1256
+
1257
+ 352
1258
+ 00:30:42,820 --> 00:30:44,880
1259
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1260
+
1261
+ 353
1262
+ 00:30:44,880 --> 00:30:45,380
1263
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1264
+
1265
+ 354
1266
+ 00:30:45,380 --> 00:30:51,420
1267
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1268
+
1269
+ 355
1270
+ 00:30:51,420 --> 00:30:53,600
1271
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1272
+
1273
+ 356
1274
+ 00:30:53,600 --> 00:30:53,700
1275
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1276
+
1277
+ 357
1278
+ 00:30:53,700 --> 00:30:53,740
1279
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1280
+
1281
+ 358
1282
+ 00:30:53,740 --> 00:30:54,860
1283
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1284
+
1285
+ 359
1286
+ 00:30:54,860 --> 00:30:56,060
1287
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1288
+
1289
+ 360
1290
+ 00:30:56,060 --> 00:30:59,120
1291
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1292
+
1293
+ 361
1294
+ 00:30:59,120 --> 00:31:05,200
1295
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1296
+
1297
+ 362
1298
+ 00:31:05,200 --> 00:31:08,360
1299
+ ุบูŠุฑ ุบ
1300
+
1301
+ 363
1302
+ 00:31:11,670 --> 00:31:20,710
1303
+ ู‚ูŠู…ุฉ ุงู„ู€ x3 ุนุจุงุฑุฉ ุนู† 9ุŒ ูˆุงู„ุซุงู†ูŠุฉ ุนุจุงุฑุฉ ุนู† 2ุŒ 9 plus
1304
+
1305
+ 364
1306
+ 00:31:20,710 --> 00:31:28,530
1307
+ 12 ุนุจุงุฑุฉ ุนู† 21 ูŠุนู†ูŠ 10.5 ุฒูŠ ุงู„ู€ median 10.5ุŒ ุทูŠุจ x
1308
+
1309
+ 365
1310
+ 00:31:28,530 --> 00:31:33,170
1311
+ 3 ู‡ุฐ๏ฟฝ๏ฟฝ ุนุจุงุฑุฉ ุนู† ู…ูˆุฌุฉ ุงู„ุซุงู„ุซุŒ x4 ู…ูˆุฌุฉ ุงู„ุฑุงุจุนุŒ ูƒูŠู
1312
+
1313
+ 366
1314
+ 00:31:33,170 --> 00:31:41,950
1315
+ ุทู„ุนู†ุง ุงู„ุซู„ุงุซุฉ ุงู„ุขู† 6 ู…ุธุจูˆุทุŒ ู n over 2 ุจุชู‚ุนุฏ x6 ุนู„ู‰
1316
+
1317
+ 367
1318
+ 00:31:41,950 --> 00:31:45,410
1319
+ 2ุŒ ุงู„ุซู„ุงุซุฉ ูˆุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ ู‡ูˆ x
1320
+
1321
+ 368
1322
+ 00:31:45,410 --> 00:31:49,290
1323
+ 4 ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ xn over 2 ุฒุงุฆุฏ
1324
+
1325
+ 369
1326
+ 00:31:49,290 --> 00:31:54,150
1327
+ 1ุŒ ูู„ู…ุง ุจูƒูˆู† ุนู†ุฏูŠ even numberุŒ ุงู„ู€ position ุจูƒูˆู†
1328
+
1329
+ 370
1330
+ 00:31:54,150 --> 00:31:58,690
1331
+ n over 2 ูˆุงู„ู„ูŠ ุจุนุฏู‡ุŒ n over 2 in the next
1332
+
1333
+ 371
1334
+ 00:31:58,690 --> 00:32:06,110
1335
+ numberุŒ ูŠุนู†ูŠ ู„ูˆ ู…ุซู„ุง ุฒูŠ ู‡ูŠูƒ ู…ู† 1 ู„ุบุงูŠุฉ 100 ูŠุนู†ูŠ
1336
+
1337
+ 372
1338
+ 00:32:06,110 --> 00:32:09,610
1339
+ n ุจู€ 17 ู…ุด ู‡ูŠูƒุŒ ุงู„ู€ median ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ู€
1340
+
1341
+ 373
1342
+ 00:32:09,610 --> 00:32:16,510
1343
+ position ุชุจุนู‡ู… n over 2 ูˆุงู„ู„ูŠ ุจุนุฏู‡ุŒ ู…ูŠู† n over 2ุŸ ู‡ุงูŠ n
1344
+
1345
+ 374
1346
+ 00:32:16,510 --> 00:32:23,350
1347
+ over 2ุŒ 10 ุนู„ู‰ 2ุŒ 5 ูˆุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ุณุงุฏุณุฉุŒ 5 ูˆุงู„ู€
1348
+
1349
+ 375
1350
+ 00:32:23,350 --> 00:32:32,080
1351
+ ุงู„ุณุงุฏุณุฉ ุฎู„ุงุตุŸ ุฅุฐุง the median is the averageุŒ ุงู„ู…ุนู†ู‰ ู‡ูŠ
1352
+
1353
+ 376
1354
+ 00:32:32,080 --> 00:32:36,220
1355
+ ุนุฏุฏ ุงู„ู…ู‚ุงูˆู…ุงุชุŒ ุงู„ู…ู‚ุงูˆู…ุฉ ุจู€ NุŒ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ
1356
+
1357
+ 377
1358
+ 00:32:36,220 --> 00:32:38,980
1359
+ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุจุนุฏ ุฃู†ู†ุง ู‚ู…ู†ุง ุจุชุฌู‡ูŠุฒ ุงู„ุจูŠุงู†ุงุช ู…ู† ุฃูƒุซุฑ
1360
+
1361
+ 378
1362
+ 00:32:38,980 --> 00:32:44,920
1363
+ ู„ุฃูƒุซุฑ ุฃูˆ ุฃูƒุซุฑ ุฅู„ู‰ ุฃูƒุซุฑุŒ ุฅุฐุง ูƒุงู†ุช N ุบูŠุฑ ู…ุญุฏูˆุฏุฉุŒ
1364
+
1365
+ 379
1366
+ 00:32:44,920 --> 00:32:48,980
1367
+ ูู…ู‚ุงูˆู…ุฉ ุงู„ู€ median ู‡ูŠ N plus one over twoุŒ ุฅู„ุง ุฅุฐุง
1368
+
1369
+ 380
1370
+ 00:32:48,980 --> 00:32:52,080
1371
+ ูƒุงู†ุช N ู…ุฑุชุจุทุฉุŒ ูู…ู‚ุงูˆู…ุฉ ุงู„ู€ N ู‡ูŠ ุนุฏุฏ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠู†
1372
+
1373
+ 381
1374
+ 00:32:52,080 --> 00:32:54,420
1375
+ ุงู„ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุฉุŒ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠู† ุงู„ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุฉ
1376
+
1377
+ 382
1378
+ 00:32:54,420 --> 00:33:03,830
1379
+ ุงู„ู…ู‚ุงูˆู…ุฉ ููŠ ุงู„ู…ูˆู‚ุน xn2 ูˆุงู„ุชุงู„ูŠ xn2 plus 1ุŒ ู…ุซู„ุง ู…ุฑุฉ
1380
+
1381
+ 383
1382
+ 00:33:03,830 --> 00:33:10,390
1383
+ ุฃุฎุฑู‰ุŒ ูุฅู† ุงู„ู€ n ู‡ูˆ 20ุŒ ูู…ุงุฐุง
1384
+
1385
+ 384
1386
+ 00:33:10,390 --> 00:33:15,070
1387
+ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ุชูˆุณุทุฉุŸ
1388
+
1389
+ 385
1390
+ 00:33:15,070 --> 00:33:22,730
1391
+ ุงู„ู€ n 20 ูŠุนู†ูŠ ุฃู† ู‡ู†ุงูƒ ู…ู‚ุงูˆู…ุฉ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ n
1392
+
1393
+ 386
1394
+ 00:33:22,730 --> 00:33:27,650
1395
+ ุนู„ู‰ 2 ูˆุงู„ู„ูŠ ุจุนุฏู‡ุŒ N ุนู„ู‰ 2 ูŠุนู†ูŠ 10 ูˆุงู„ู„ูŠ ุจุนุฏู‡ 11
1396
+
1397
+ 387
1398
+ 00:33:27,
1399
+
1400
+ 431
1401
+ 00:37:25,290 --> 00:37:31,050
1402
+ ุงู„ุฃุญูŠุงู† ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูƒ ุฃูƒุซุฑ ู…ู† ู…ูˆุถูˆุน ุฅุฐุง ุงู„ู…ูˆุถูˆุน
1403
+
1404
+ 432
1405
+ 00:37:31,050 --> 00:37:39,110
1406
+ ุฃูƒุซุฑ ุงุณุชู…ุฑุงุฑุง ุฃูˆ ุฃูƒุซุฑ ุญุฏูˆุซุง ู‚ูŠู…ุฉ ุงู„ุฃูƒุซุฑ ุธู‡ูˆุฑุง ุฃูˆ ุฃูƒุซุฑ
1407
+
1408
+ 433
1409
+ 00:37:39,110 --> 00:37:43,310
1410
+ ุชูƒุฑุงุฑุง ุฃูˆ ุฃูƒุซุฑ ุญุฏูˆุซุง ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ data ุงู„ู„ูŠ ู‡ู†ุง
1411
+
1412
+ 434
1413
+ 00:37:43,310 --> 00:37:47,450
1414
+ ู†ุญู†
1415
+
1416
+ 435
1417
+ 00:37:47,450 --> 00:37:53,140
1418
+ ู„ุง ู„ุฏูŠู†ุง ู†ู‚ุทุฉ ูˆุงุญุฏุฉ ุฃูƒุซุฑ ู…ุฑุฉ 3 ู…ุฑุงุชุŒ 5 ู…ุฑุงุช ู…ุฑุชูŠู†ุŒ 8
1419
+
1420
+ 436
1421
+ 00:37:53,140 --> 00:37:57,440
1422
+ ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 10 ู…ุฑุงุช ู…ุฑุชูŠู†ุŒ 12 ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 13 ู…ุฑุฉ
1423
+
1424
+ 437
1425
+ 00:37:57,440 --> 00:38:02,280
1426
+ ู…ุฑุชูŠู† ูˆ 14 ู…ุฑุฉ ู…ุฑุชูŠู† ุงู„ุขู† ู…ุงู‡ูŠ ุฃูƒุซุฑ ู‚ูŠู…ุฉ ู…ุนู„ูˆู…ุฉ
1427
+
1428
+ 438
1429
+ 00:38:02,280 --> 00:38:04,320
1430
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1431
+
1432
+ 439
1433
+ 00:38:04,320 --> 00:38:07,320
1434
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1435
+
1436
+ 440
1437
+ 00:38:07,320 --> 00:38:07,460
1438
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1439
+
1440
+ 441
1441
+ 00:38:07,460 --> 00:38:08,520
1442
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1443
+
1444
+ 442
1445
+ 00:38:08,520 --> 00:38:18,560
1446
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…
1447
+
1448
+ 443
1449
+ 00:38:20,330 --> 00:38:30,930
1450
+ ู…ุซู„ ู‡ุฐุง ุงู„ู…ุซุงู„ ู‡ู†ุง ู†ุญู† ู„ุฏูŠู†ุง 1 3 4 2 5 3 9 10 12
1451
+
1452
+ 444
1453
+ 00:38:30,930 --> 00:38:39,470
1454
+ 12 13 ูˆ 14 9 ู…ู…ูƒู† 3 ู…ุฑุงุช ูุงู„ุนุฏุฏ 9 ูููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1455
+
1456
+ 445
1457
+ 00:38:39,470 --> 00:38:48,350
1458
+ ูู‡ู†ุงูƒ ูู‚ุท ุนุฏุฏ ูˆุงุญุฏ ูุงู„ุนุฏุฏ 9 ู„ู„ู…ุซุงู„
1459
+
1460
+ 446
1461
+ 00:38:48,350 --> 00:38:57,790
1462
+ ุงู„ุขุฎุฑ ู†ุญู† ู„ุฏูŠู†ุง 0ุŒ 1ุŒ 2ุŒ 3ุŒ 5 ูˆ 6 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูƒู„
1463
+
1464
+ 447
1465
+ 00:38:57,790 --> 00:39:03,330
1466
+ ู‚ูŠู…ุฉ ุชุญุฏุซ ู…ุฑุฉ ูˆุงุญุฏุฉ ู‡ุฐุง ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู„ูŠุณ
1467
+
1468
+ 448
1469
+ 00:39:03,330 --> 00:39:12,370
1470
+ ู‡ู†ุงูƒ ู…ูˆุถูˆุน ุทุจ ู„ูˆ ุฒูˆุฏุช ูˆุงุญุฏุฉ ู‡ู†ุง
1471
+
1472
+ 449
1473
+ 00:39:12,370 --> 00:39:15,550
1474
+ ู…ุน
1475
+
1476
+ 450
1477
+ 00:39:15,550 --> 00:39:21,620
1478
+ ูƒุฏู‡ two modes ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎู…ุณุฉ ูˆุงู„ุชุณุนุฉ five ูˆ nine ุทุจ
1479
+
1480
+ 451
1481
+ 00:39:21,620 --> 00:39:27,060
1482
+ ู„ูˆ ุฌุฆุช ู‡ู†ุง ุฒูˆุฏุช ูˆุงุญุฏุฉ ู„ู„ุณุชุฉ ุจุตูŠุฑ ุงู„ุณุชุฉ ู‡ูŠ ุงู„ mode
1483
+
1484
+ 452
1485
+ 00:39:27,060 --> 00:39:33,740
1486
+ ู…ุตุจูˆุฑุงุŸ ู„ุฃู† ุงู„ุณุชุฉ ู‡ูŠ ุงู„ุฃูƒุซุฑ ุชูƒุฑุงุฑุง ู…ุฑุชูŠู† ุทุจ ู„ูˆ ูƒุฑุฑุช
1487
+
1488
+ 453
1489
+ 00:39:33,740 --> 00:39:40,800
1490
+ ู‡ูŠูƒ ุตุงุฑ ุงู„ุงุซู†ูŠู† ูˆุงู„ุซู„ุงุซุฉ ูˆุงู„ุณุชุฉ ู‡ู…ุง ุงู„ modes ุฅุฐุง
1491
+
1492
+ 454
1493
+ 00:39:40,800 --> 00:39:45,280
1494
+ ู…ู…ูƒู† ูŠูƒูˆู† there is only one mode or sometimes the
1495
+
1496
+ 455
1497
+ 00:39:45,280 --> 00:39:48,340
1498
+ mode does not exist ุฃูˆ there are
1499
+
1500
+ 456
1501
+ 00:39:51,720 --> 00:39:57,480
1502
+ ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุฃูˆ ุบูŠุฑ ู…ูˆุฌูˆุฏ ู…ู…ูƒู†
1503
+
1504
+ 457
1505
+ 00:39:57,480 --> 00:40:02,000
1506
+ ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุฃูˆ ุบูŠุฑ ู…ูˆุฌูˆุฏ ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุฃูˆ ุบูŠุฑ
1507
+
1508
+ 458
1509
+ 00:40:02,000 --> 00:40:06,440
1510
+ ู…ูˆุฌูˆุฏ ุฏุนูˆู†ุง
1511
+
1512
+ 459
1513
+ 00:40:06,440 --> 00:40:08,860
1514
+ ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง
1515
+
1516
+ 460
1517
+ 00:40:08,860 --> 00:40:09,360
1518
+ ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ
1519
+
1520
+ 461
1521
+ 00:40:09,360 --> 00:40:09,640
1522
+ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
1523
+
1524
+ 462
1525
+ 00:40:09,640 --> 00:40:12,700
1526
+ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰
1527
+
1528
+ 463
1529
+ 00:40:12,700 --> 00:40:12,760
1530
+ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ
1531
+
1532
+ 464
1533
+ 00:40:12,760 --> 00:40:13,400
1534
+ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
1535
+
1536
+ 465
1537
+ 00:40:13,400 --> 00:40:15,800
1538
+ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰
1539
+
1540
+ 466
1541
+ 00:40:15,800 --> 00:40:19,640
1542
+ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุน
1543
+
1544
+ 467
1545
+ 00:40:19,720 --> 00:40:25,640
1546
+ 100 ูˆ 100 ูˆ ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ุงู†ุชุงุฌ ุงู„ุงู†ุชุงุฌ
1547
+
1548
+ 468
1549
+ 00:40:25,640 --> 00:40:29,020
1550
+ ุงู„ุงู†ุชุงุฌ
1551
+
1552
+ 469
1553
+ 00:40:29,020 --> 00:40:35,600
1554
+ ู‡ูˆ ุฅุถุงูุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู… ุซู… ู†ู‚ู„ ู…ู† ุนุฏุฏ ุงู„ู…ู†ุฒู„ ุงู„ุงู†ุชุงุฌ
1555
+
1556
+ 470
1557
+ 00:40:35,600 --> 00:40:44,320
1558
+ ุชุจุนู‡ู… ุนู„ู‰ ุนุฏุฏู‡ู… ูˆุงุถุญ ู…ุฌู…ูˆุนู‡ู… 3 ู…ู„ูŠูˆู† ู†ู‚ู„ ู…ู† 5 ูŠุนู†ูŠ
1559
+
1560
+ 471
1561
+ 00:40:44,320 --> 00:40:51,320
1562
+ 600000 ุฅุฐุง ุงู„ุงู†ุชุงุฌ ุชุจุนู‡ู… 600000 ุงู„ูˆุณุท ูŠุฌุจ ุฃู†
1563
+
1564
+ 472
1565
+ 00:40:51,320 --> 00:40:53,820
1566
+ ู†ุฎู„ู‚ู‡ ู…ู† ุฃูƒุจุฑ ุฅู„ู‰ ุฃูƒุจุฑ ุฃูˆ ุฃูƒุจุฑ ุฅู„ู‰ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
1567
+
1568
+ 473
1569
+ 00:40:53,820 --> 00:40:56,540
1570
+ ุฅู„ู‰ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
1571
+
1572
+ 474
1573
+ 00:40:56,540 --> 00:40:57,880
1574
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1575
+
1576
+ 475
1577
+ 00:40:57,880 --> 00:40:59,820
1578
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1579
+
1580
+ 476
1581
+ 00:40:59,820 --> 00:41:03,880
1582
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1583
+
1584
+ 477
1585
+ 00:41:03,880 --> 00:41:06,180
1586
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1587
+
1588
+ 478
1589
+ 00:41:06,180 --> 00:41:06,500
1590
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1591
+
1592
+ 479
1593
+ 00:41:06,500 --> 00:41:16,000
1594
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒ
1595
+
1596
+ 480
1597
+ 00:41:17,180 --> 00:41:20,660
1598
+ ุงู„ู€ mean ู„ุฃู†ู‡ ุฃุฎุฐ ูƒู„ ุงู„ู€ values ูุชุฃุซุฑ ุจุงู„ู€ mean
1599
+
1600
+ 481
1601
+ 00:41:20,660 --> 00:41:24,700
1602
+ ุจุงู„ู€ extreme ุจุงู„ู€ 200 ุฃู„ู ูˆ ุจุงู„ู€ 2 ู…ู„ูŠูˆู† ูˆ ุชุฃุซุฑ
1603
+
1604
+ 482
1605
+ 00:41:24,700 --> 00:41:27,980
1606
+ ุจุงู„ู€ 100 ุฃู„ู ุงู„ู„ูŠ ุชุญุช ู„ุฃู†ู‡ ุชุนุชุจุฑ 100 ุจุนูŠุฏุฉ ุนู† ุงู„ู€
1607
+
1608
+ 483
1609
+ 00:41:27,980 --> 00:41:30,400
1610
+ 2 ู…ู„ูŠูˆู† ูˆ ุงู„ู€ 2 ู…ู„ูŠูˆู† ุจุนูŠุฏุฉ ุนู† ุงู„ูƒู„ ุจุงู„ุชุงู„ูŠ ู‡ูˆ
1611
+
1612
+ 484
1613
+ 00:41:30,400 --> 00:41:35,620
1614
+ ุชุฃุซุฑ ุจุงู„ู€ 2 ู…ู„ูŠูˆู† ุฃูƒุซุฑ ูุงู„ู€ median ุทู„ุน 300 ุฃู„ู ุทุจ
1615
+
1616
+ 485
1617
+ 00:41:35,620 --> 00:41:39,160
1618
+ ุงู„ูˆุถุน is the most frequent value ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุซุฑ
1619
+
1620
+ 486
1621
+ 00:41:39,160 --> 00:41:43,880
1622
+ ุชูƒุฑุงุฑุง ุฃูƒุซุฑ ูˆุงุญุฏุฉ ูƒุฑุฑุช 100 ุฃู„ู ู„ุญุธุฉ ุฃู† ุงู„ุขู† three
1623
+
1624
+ 487
1625
+ 00:41:43,880 --> 00:41:47,760
1626
+ different measures for center tendency main,
1627
+
1628
+ 488
1629
+ 00:41:48,060 --> 00:41:54,300
1630
+ median, mode ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ุฃูŠ ุงู„ู…ู‚ูŠุงุณ ุงู„ุฐูŠ ู„ุงุฒู…
1631
+
1632
+ 489
1633
+ 00:41:54,300 --> 00:41:59,320
1634
+ ุฃุณุชุฎุฏู…ู‡ ู‡ู„ ู‡ูˆ ุงู„ main ูˆ ู„ุง ุงู„ median ูˆ ู„ุง ุงู„ mode
1635
+
1636
+ 490
1637
+ 00:41:59,320 --> 00:42:03,800
1638
+ ุฅู† ุดุงุก ุงู„ู„ู‡ for next time ุฅุฐุง ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู‡ุชูƒู„ู…
1639
+
1640
+ 491
1641
+ 00:42:03,800 --> 00:42:10,660
1642
+ ุนู„ู‰ ู…ู† ุฃูุถู„ ู…ู‚ูŠุงุณ ููŠ ู‡ุฏูˆู„ ูˆุจุนุฏูŠู† ุจู†ูƒู…ู„ ุฎู„ุงุต
1643
+
1644
+ 492
1645
+ 00:42:10,660 --> 00:42:15,920
1646
+ ุนู†ุฏู†ุง two slides ุจุณ ู…ูˆุฌูˆุฏุงุช ูˆุจุนุฏูŠู† ู†ุจุฏุฃ ููŠ ุงู„
1647
+
1648
+ 493
1649
+ 00:42:15,920 --> 00:42:16,900
1650
+ measures of variation
1651
+
1652
+ 494
1653
+ 00:42:20,030 --> 00:42:22,550
1654
+ Any questionุŸ ุงู„ู„ู‡ ุฃูƒุจุฑ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/4khBoGnElZQ_postprocess.srt ADDED
@@ -0,0 +1,1976 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:22,910
3
+ ุจุงุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:22,910 --> 00:00:26,410
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ูŠ ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ูŠ ุฃู‡ู„ูŠ ูˆุตุญุจูŠ
8
+
9
+ 3
10
+ 00:00:26,410 --> 00:00:29,810
11
+ ูˆุณู„ู… ุฃุฌู…ุนูŠู† ููŠ ุงู„ุจุฏุงูŠุฉ ุจู†ุฑุญุจ ุฌู…ูŠุน ุงู„ุฅุฎูˆุฉ ุงู„ุฃุฎูˆุงุช
12
+
13
+ 4
14
+ 00:00:29,810 --> 00:00:33,670
15
+ ูˆุงู„ุทุงู„ุจุงุช ููŠ ู…ุตุงู‚ business statistics ููŠ ุงู„ูุตู„
16
+
17
+ 5
18
+ 00:00:33,670 --> 00:00:37,110
19
+ ุงู„ุฏุฑุงุณูŠ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงู† ุดุงุก ุงู„ู„ู‡ ุงุชุนู„ุญ ููŠู‡ ู‡ู†ุณุชุฎุฏู…
20
+
21
+ 6
22
+ 00:00:37,110 --> 00:00:40,790
23
+ .. ู‡ุงูŠ ุงู„ูƒุชุงุจ business statistics ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ูƒุชุจุฉ
24
+
25
+ 7
26
+ 00:00:40,790 --> 00:00:44,930
27
+ ุงู„ุขู† ู‡ูŠ ู…ูƒุชุจุฉ ุงู‚ุฑุฃ ุงู„ .. ุฒูŠ ู…ุง ุญูƒูŠุชู‡ ุงู„ู…ุฑุฉ ูุงุชุฑุฉ
28
+
29
+ 8
30
+ 00:00:44,930 --> 00:00:48,640
31
+ ุงู„ูƒุชุงุจ ููŠู‡ ุงู„ bar point ุจุงู„ูƒุงู…ู„ู„ู„ seven chapters
32
+
33
+ 9
34
+ 00:00:48,640 --> 00:00:55,200
35
+ ู‡ู… ุชู„ุงุชุฉ ูˆ ุณุชุฉ ูˆ ุณุจุนุฉ ูˆ ุชุณุนุฉ ูˆ ุนุดุฑ ุงูˆ ูˆุงุญุฏ ุนุงุด ูˆ
36
+
37
+ 10
38
+ 00:00:55,200 --> 00:00:58,880
39
+ ุงุชู†ุงุด ู‡ุฏูˆู„ ุงู„ seven chapters ู‡ู†ุงุฎุฏู‡ู… ุฒุงุฆุฏ ุญุทูŠุช ุงู„
40
+
41
+ 11
42
+ 00:00:58,880 --> 00:01:03,460
43
+ practice ู„ูƒู„ chapter ู…ูˆุฌูˆุฏ ุฒุงุฆุฏ ุงู„ previous exams
44
+
45
+ 12
46
+ 00:01:03,460 --> 00:01:09,200
47
+ ุญุทูŠุช ุงุฑุจุน ุงู…ุชุญุงู†ุงุช ู„ู†ูุณ ุงู„ course ู„ู†ูุณ ุงู„ูƒุชุงุจ ุทุจุนุง
48
+
49
+ 13
50
+ 00:01:09,200 --> 00:01:12,820
51
+ ููŠ ุงู…ุชุญุงู†ุงุช ุชุงู†ูŠุฉ ู‡ุญุทู‡ุง ุนู„ู‰ ุงู„ุตูุญุฉ ุงู† ุดุงุก ุงู„ู„ู‡ุจุฑุถู‡
52
+
53
+ 14
54
+ 00:01:12,820 --> 00:01:16,420
55
+ ู‡ุญุทู„ูƒ PDF ูˆ ุงู„ PowerPoint ูƒุงู…ู„ุฉ ู‡ุญุทู„ูƒ ููŠู‡ุง
56
+
57
+ 15
58
+ 00:01:16,420 --> 00:01:20,700
59
+ PowerPoint file ุฒูŠ ุงู„ PDF ู„ูˆ ุญุจูŠุช ุชู‚ุฑุฃ ู…ู†ู‡ุง ุนู„ู‰
60
+
61
+ 16
62
+ 00:01:20,700 --> 00:01:24,200
63
+ ุงู„ุฌูˆุงู„ ุนู„ู‰ ุงู„ laptop ููŠ ุฃูŠ ู…ูƒุงู† ูŠูƒูˆู† ุนู†ุฏูƒ ุดุบู„ุชูŠู†
64
+
65
+ 17
66
+ 00:01:24,200 --> 00:01:28,240
67
+ hard copy ุฒูŠ ู‡ูŠูƒ ูƒูˆูŠุณ ูˆ ุงู„ soft copy ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ
68
+
69
+ 18
70
+ 00:01:28,240 --> 00:01:32,060
71
+ ู…ุนุงูƒ ุทุจุนุง ุงู„ soft copy ุฃู†ุง ุนุงูŠุฒู‡ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ู‡ู†ุง
72
+
73
+ 19
74
+ 00:01:32,060 --> 00:01:36,400
75
+ ุจุญูŠุซ ุฃู†ู‡ ูˆ ุฃู†ุง ุจุดุฑุญ ุญูŠู† ุชูƒุชุจ ุดูˆูŠุฉ ู…ู„ุงุญุธุงุช ูŠุนู†ูŠ
76
+
77
+ 20
78
+ 00:01:36,400 --> 00:01:39,960
79
+ ุจุชุนู…ู„ notes ุฅู„ูŠูƒ ุฒูŠุงุฏุฉ ู„ุฃู†ู‡ ุบุงู„ุจุง ุงู„ notes ุงู„ู„ูŠ ููŠ
80
+
81
+ 21
82
+ 00:01:39,960 --> 00:01:45,200
83
+ ุงู„ PowerPoint ู…ุด ูƒุงู…ู„ุฉุจุชุญุท ุดูˆูŠุฉ ุดุบู„ุงุช ุนู„ูŠู‡ุง ุงู„ูŠูˆู…
84
+
85
+ 22
86
+ 00:01:45,200 --> 00:01:49,720
87
+ ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ุจุฏุฃ ู…ุจุงุดุฑุฉ ููŠ chapter ูˆุงุญุฏ ุงู„ chapter
88
+
89
+ 23
90
+ 00:01:49,720 --> 00:01:54,100
91
+ ุงู„ุฃูˆู„ ุนูŠู†ูŠู‡ ู‡ูˆ chapter ุฑู‚ู… ุชู„ุงุชู‡ ุฅุฐุง ุงู„ course
92
+
93
+ 24
94
+ 00:01:54,100 --> 00:02:00,840
95
+ ุชุจุนู†ุง ุงุณู…ู‡ basic statistics ุฃูˆู„ chapter ุจู†ุณู…ูŠู‡
96
+
97
+ 25
98
+ 00:02:00,840 --> 00:02:05,820
99
+ numerical descriptive measures ุงู„ู„ูŠ ู‡ูŠ ู…ู‚ูŠูŠุณ
100
+
101
+ 26
102
+ 00:02:05,820 --> 00:02:12,160
103
+ ุงู„ูˆุตููŠุฉ ุงู„ุฑู‚ู…ูŠุฉุจุชุนุฑู ุงุญู†ุง ุงู„ data in general has
104
+
105
+ 27
106
+ 00:02:12,160 --> 00:02:19,940
107
+ two types ุงู…ุง numerical ู†ุณู…ูŠู‡ุง numerical data ุงูˆ
108
+
109
+ 28
110
+ 00:02:19,940 --> 00:02:27,200
111
+ ู†ุณู…ูŠู‡ุง ุงู„ุชุงู†ูŠุฉ categorical data ุงุฐุง ู†ุณู…ูŠู‡ุง
112
+
113
+ 29
114
+ 00:02:27,200 --> 00:02:35,260
115
+ numerical data ุงูˆ ุงุญู†ุง ู†ุณู…ูŠู‡ุง quantitative ุงูˆ
116
+
117
+ 30
118
+ 00:02:35,260 --> 00:02:36,080
119
+ ู†ุณู…ูŠู‡ุง qualitative
120
+
121
+ 31
122
+ 00:02:40,210 --> 00:02:44,670
123
+ ุงู„ุจูŠุงู†ุงุช ู„ุฏูŠู‡ุง ุฃุดุฎุงุต ู…ุฎุชู„ูุฉ ุจุดูƒู„ ุนุงู… ูˆุงุญุฏุฉ ุจู†ุณู…ูŠู‡ุง
124
+
125
+ 32
126
+ 00:02:44,670 --> 00:02:48,250
127
+ numerical data ุงูˆ quantitative data ูˆุงู„ุซุงู†ูŠุฉ
128
+
129
+ 33
130
+ 00:02:48,250 --> 00:02:53,370
131
+ ุจุณู…ูŠู‡ุง qualitative data ุงูˆ categorical data ุนู„ู‰
132
+
133
+ 34
134
+ 00:02:53,370 --> 00:02:59,750
135
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ุนู…ุฑ ุนู…ุฑ ู‡ูˆ ุงู„ู†ู…ุฑูŠ ุงุฐุง
136
+
137
+ 35
138
+ 00:02:59,750 --> 00:03:08,310
139
+ ุนู…ุฑูƒ 18 ุณู†ุฉ 18 ู‡ูŠ ู‚ูŠู…ุฉ ู†ู…ุฑูŠ ุงุฐุง ูƒู†ุง ู†ุชุญุฏุซ ุนู† ุงู„ุถุบุท
140
+
141
+ 36
142
+ 00:03:11,990 --> 00:03:17,590
143
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ูƒู…ูŠุฉ ุนุงู…ุฉ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู‡ูˆ 70 ูƒูŠู„ูˆ
144
+
145
+ 37
146
+ 00:03:17,590 --> 00:03:23,510
147
+ ุฌุฑุงู…ุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ู†ู…ูˆุฐุฌูŠุฉ ุนู†ุฏู…ุง ู†ุชูƒู„ู… ุนู†
148
+
149
+ 38
150
+ 00:03:23,510 --> 00:03:27,970
151
+ ุงู„ุจูŠุงู†ุงุช ุงู„ูƒุชูˆุฑูŠูƒูŠุฉ ุฃูˆ ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุนู„ู‰ ุณุจูŠู„
152
+
153
+ 39
154
+ 00:03:27,970 --> 00:03:33,610
155
+ ุงู„ู…ุซุงู„ ุงู„ุฌู†ุณ ุฅู…ุง ุงู„ู…ู„ุงูƒูŠู† ุฃูˆ ุงู„ู…ู„ุงูƒูŠู† ุฃูˆ ุงู„ู…ู„ุงูƒูŠู†
156
+
157
+ 40
158
+ 00:03:33,610 --> 00:03:36,670
159
+ ู‡ุฐุง
160
+
161
+ 41
162
+ 00:03:36,670 --> 00:03:40,710
163
+ ูŠุณู…ู‰ ุชู‚ู„ูŠุฏูŠุฉ ุชู‚ู„ูŠุฏูŠุฉ ู…ุนู†ุงู‡ ู†ูˆุนูŠ
164
+
165
+ 42
166
+ 00:03:43,490 --> 00:03:49,390
167
+ Quantitative ูŠุนู†ูŠ ุฑู‚ู…ูŠ This chapter focus on
168
+
169
+ 43
170
+ 00:03:49,390 --> 00:03:54,150
171
+ numerical descriptive measures ุจู†ุฑูƒุฒ ุนู„ู‰ ุงู„ู…ู‚ูŠูŠุณ
172
+
173
+ 44
174
+ 00:03:54,150 --> 00:03:59,430
175
+ ุงู„ูˆุตููŠุฉ ุงู„ุฑู‚ู…ูŠุฉ So we are talking about something
176
+
177
+ 45
178
+ 00:03:59,430 --> 00:04:09,370
179
+ like scores Now suppose your score is 90 90 is
180
+
181
+ 46
182
+ 00:04:09,370 --> 00:04:14,540
183
+ numerical valueุงู„ุงู† ูƒูŠู ู†ู‚ุฑุฑ ุงู„ู…ุนู„ูˆู…ุงุช ุฅุฐุง ูƒุงู†
184
+
185
+ 47
186
+ 00:04:14,540 --> 00:04:19,240
187
+ ู„ุฏูŠู†ุง ู‚ูŠู…ุฉ ู†ู…ูŠุฐูŠุฉุŸ ููŠ
188
+
189
+ 48
190
+ 00:04:19,240 --> 00:04:25,180
191
+ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ู„ุฏูŠู†ุง ุฃุฑุจุน ุฃู‡ุฏุงู ุงู„ุฃูˆู„ุฉ
192
+
193
+ 49
194
+ 00:04:25,180 --> 00:04:30,760
195
+ ุชุณู…ุญ ุจู€Properties of Central Tendency ู„ุญุธุฉ ู„ุงู† ููŠ
196
+
197
+ 50
198
+ 00:04:30,760 --> 00:04:38,740
199
+ ุนู†ุฏูŠ ุฃูˆู„ ุชุนุฑูŠู Central Tendency ุฅูŠุด
200
+
201
+ 51
202
+ 00:04:38,740 --> 00:04:46,420
203
+ ู…ุนู†ู‰ CentralุŸู…ุฑูƒุฒ tendency ู†ุฒุนุฉ ุจุงู„ุธุจุท ูู‡ูŠ ุจูŠุณู…ูŠู‡ุง
204
+
205
+ 52
206
+ 00:04:46,420 --> 00:04:51,220
207
+ ู†ุฒุนุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุดูˆู ุงู†ุง ู‡ุญุงูˆู„ ุงู„ู…ุตุทู„ุญุงุช ุชุญูƒูŠ ุนุฑุจูŠ
208
+
209
+ 53
210
+ 00:04:51,220 --> 00:04:56,880
211
+ ุงู†ุฌู„ูŠุฒูŠ ูููŠ ุนู†ุฏูŠ describe the probabilities of
212
+
213
+ 54
214
+ 00:04:56,880 --> 00:05:01,180
215
+ central tendency ู…ุนู†ุงู‡ุง
216
+
217
+ 55
218
+ 00:05:01,180 --> 00:05:09,040
219
+ ุจุฏุฃ ุงุดุฑุญ ุงูˆ ุงูˆุตู ุฎุตุงุฆุต ู†ุฒุนุฉ ุงู„ู…ุฑูƒุฒูŠุฉ variation ุงูŠุด
220
+
221
+ 56
222
+ 00:05:09,040 --> 00:05:09,680
223
+ ูŠุนู†ูŠ variation
224
+
225
+ 57
226
+ 00:05:12,930 --> 00:05:18,950
227
+ variation ู…ุนู†ุงู‡ ุงุฎุชู„ุงู ุงูˆ
228
+
229
+ 58
230
+ 00:05:18,950 --> 00:05:27,070
231
+ ุชุดุชุช ุงูˆ ุชุจูŠู† and shape in numerical data ุดูƒู„
232
+
233
+ 59
234
+ 00:05:33,740 --> 00:05:37,360
235
+ ููŠ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉ ุณู†ุชุญุฏุซ ุนู† ุซู„ุงุซ ุฃุณุฆู„ุฉ ุงู„ุฑุฆูŠุณูŠุฉ
236
+
237
+ 60
238
+ 00:05:37,360 --> 00:05:49,800
239
+ ู„ู„ู…ู‚ุงู„ุงุช ุงู„ุฑุณู…ูŠุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉ ุงู„ุงุฎุชู„ุงู
240
+
241
+ 61
242
+ 00:05:49,800 --> 00:05:51,260
243
+ ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู
244
+
245
+ 62
246
+ 00:05:51,260 --> 00:05:51,760
247
+ ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ
248
+
249
+ 63
250
+ 00:05:51,760 --> 00:05:52,700
251
+ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู
252
+
253
+ 64
254
+ 00:05:52,700 --> 00:05:52,720
255
+ ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู
256
+
257
+ 65
258
+ 00:05:52,720 --> 00:05:55,880
259
+ ุงู„ุงุฎุชู„ุงู ุงูˆ
260
+
261
+ 66
262
+ 00:05:55,880 --> 00:05:59,020
263
+ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู
264
+
265
+ 67
266
+ 00:05:59,020 --> 00:05:59,100
267
+ ุงูˆ ุชุดุชุท
268
+
269
+ 68
270
+ 00:06:02,390 --> 00:06:07,790
271
+ construct ู…ุนู†ุงู‡ุง ุจู†ุงุก
272
+
273
+ 69
274
+ 00:06:07,790 --> 00:06:17,270
275
+ ุฃูˆ ุฅู†ุดุงุก ุฃูˆ ุฅู†ุดุงุก ุฃูˆ ุฑุณู… ุณู…ูŠู‡ุง interpret ุชูุณูŠุฑ
276
+
277
+ 70
278
+ 00:06:17,270 --> 00:06:22,190
279
+ ุจุชูุณูŠุฑ ุจูƒุณ ุจู„ุงุช ุญุฏ ูŠุณู…ูŠู‡ุง ุจูƒุณ ุจู„ุงุช ู‡ู†ุงุฎุฏู‡ุง
280
+
281
+ 71
282
+ 00:06:22,190 --> 00:06:26,610
283
+ ุจุงู„ุชูุณูŠุฑ ุจุนุฏูŠู† ุฅุฐุง ุจู†ุนู…ู„ ุจู†ุงุก ูˆุงู„ุชุนู„ูŠู‚ ุฃูˆ ุงู„ุชูุณูŠุฑ
284
+
285
+ 72
286
+ 00:06:26,610 --> 00:06:30,630
287
+ ุจูƒุณ ุจู„ุงุช number three compute descriptive summary
288
+
289
+ 73
290
+ 00:06:30,630 --> 00:06:34,760
291
+ measures for a populationIn general, we have
292
+
293
+ 74
294
+ 00:06:34,760 --> 00:06:38,860
295
+ population suppose we are talking about IUG
296
+
297
+ 75
298
+ 00:06:38,860 --> 00:06:45,580
299
+ students ุจุชูƒู„ู… ุนู„ู‰ all IUG studentsุŒ ูƒู„ ุทู„ุจุฉ
300
+
301
+ 76
302
+ 00:06:45,580 --> 00:06:55,660
303
+ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ุจุญูƒูŠ ูƒู„ุŒ ุจุชูƒู„ู… ุนู† population ุฅูŠุด
304
+
305
+ 77
306
+ 00:06:55,660 --> 00:07:03,910
307
+ ู…ุนู†ู‰ populationุŸ ู…ุฌุชู…ุนุŒ ู…ุฌุชู…ุน ูƒูƒู„ู„ูˆ ุฃุฎุฏุช ู…ู†ู‡ ุณุงู…ุจู„
308
+
309
+ 78
310
+ 00:07:03,910 --> 00:07:10,670
311
+ ุตุบูŠุฑู‡ ู‡ูƒุฐุง ู†ูุชุฑุถ ุณุงู…ุจู„ ู‡ูƒุฐุง ุทุจุนุง ุงู„ size ุชุจุน
312
+
313
+ 79
314
+ 00:07:10,670 --> 00:07:15,030
315
+ population ู…ู…ูƒู† ูŠูƒูˆู† ู…ุซู„ุง ุณุชุฉ ุนุดุฑ ุฃู„ูุŒ sixty
316
+
317
+ 80
318
+ 00:07:15,030 --> 00:07:20,910
319
+ thousand ุงู„ุณุงู…ุจู„ ุฅูŠุด ู‡ุชูƒูˆู†ุŸ ุฌุฒุกุŒ ู…ู…ูƒู† ูŠุงุฎุฏ ู…ูŠุฉ
320
+
321
+ 81
322
+ 00:07:20,910 --> 00:07:26,410
323
+ ู…ู†ู‡ู…ุŒ ุนูŠู†ุฉ number that he talks aboutHow can we
324
+
325
+ 82
326
+ 00:07:26,410 --> 00:07:30,810
327
+ compute descriptive measures for a population for
328
+
329
+ 83
330
+ 00:07:30,810 --> 00:07:34,670
331
+ the entire data for the entire data we have plus
332
+
333
+ 84
334
+ 00:07:34,670 --> 00:07:39,270
335
+ objective calculate the covariance and the
336
+
337
+ 85
338
+ 00:07:39,270 --> 00:07:44,150
339
+ coefficient of correlation variance ู…ุนู†ุงู‡ ุงูŠุดุŸ
340
+
341
+ 86
342
+ 00:07:44,150 --> 00:07:53,010
343
+ ุชุจุงู‡ู… ูˆ co .. ุงูŠ ุญุงุฌุฉ co ู…ุนู†ุงู‡ุง ู…ุดุชุฑูƒุฅุฐุง ุจุฏู†ุง ู†ุญุณุจ
344
+
345
+ 87
346
+ 00:07:53,010 --> 00:07:57,750
347
+ ุงู„ุชุจุงูŠู† ุงู„ู…ุดุชุฑูƒ ุฃูˆ ุณู…ูŠุญุงู†ุง ุงู„ุชุบูŠุฑ ู‡ุฐุง ููŠ ุขุฎุฑ
348
+
349
+ 88
350
+ 00:07:57,750 --> 00:08:00,990
351
+ ุงู„ุญู„ู‚ู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ุฅุฐุง ู†ุชูƒู„ู… ุนู† ุงู„ู€ covariance
352
+
353
+ 89
354
+ 00:08:00,990 --> 00:08:07,630
355
+ ุชุบูŠุฑ and
356
+
357
+ 90
358
+ 00:08:07,630 --> 00:08:11,650
359
+ the coefficient of correlation ุงู„ู„ูŠ ู‡ูˆ ุฃูŠุดุŸ ู…ุนุงู…ู„
360
+
361
+ 91
362
+ 00:08:11,650 --> 00:08:15,910
363
+ ุงู„ุฅุฑุชุจุงุท ู‡ุฐูˆู„ four objectives ู„ุญุธุฉ ููŠ ุนู†ุฏูŠ ุดูˆูŠุฉ
364
+
365
+ 92
366
+ 00:08:15,910 --> 00:08:20,630
367
+ ู…ุตุทู„ุญุงุช ุฌุฏูŠุฏุฉ ุฃู†ุง ุจุงู†ุตุญูƒ ุฎู„ู‘ูŠ ุนู†ุฏูƒ ุฏูุชุฑ ู„ุญุงู„ ูˆ ู‡ูŠูƒ
368
+
369
+ 93
370
+ 00:08:20,630 --> 00:08:28,170
371
+ ู„ู„ ..ู„ู„ู…ุตุทู„ุญุงุช ู‡ุฏูˆู„ ุฒูŠ Center Tendency Variation
372
+
373
+ 94
374
+ 00:08:28,170 --> 00:08:33,750
375
+ Shape Interpret Covariance Correlation ู‡ุฏูˆู„
376
+
377
+ 95
378
+ 00:08:33,750 --> 00:08:37,010
379
+ ู…ุตุทู„ุญุงุช ุฃู†ุง ุณุงุฎุฏูŠู†ู‡ุง ุจูƒุซุฑุฉ ูุจุงู„ุชุงู„ูŠ ูƒูˆูŠุณ ูŠูƒูˆู† ุนู†ุฏูƒ
380
+
381
+ 96
382
+ 00:08:37,010 --> 00:08:46,010
383
+ ุชู„ุฎูŠุต ู„ู‡ู… ุงู„ู„ูŠ
384
+
385
+ 97
386
+ 00:08:46,010 --> 00:08:50,980
387
+ ุฃู†ุง ู‡ุชูƒู„ู… ุนู„ู‰ summary definitions ุจุนุถ ุงู„ุชุนุฑูŠูุงุชูˆ
388
+
389
+ 98
390
+ 00:08:50,980 --> 00:09:15,060
391
+ ู‡ู†ุจุฏุฃ ุจุฃูˆู„ ูˆุงุญุฏ ุงู„ู€ central tendency ู…ุฑุฉ
392
+
393
+ 99
394
+ 00:09:15,060 --> 00:09:19,700
395
+ ุชุงู†ูŠุฉ ุงู„ central tendency ู…ุนู†ุงู‡ุง ู†ุฒุนุฉ ู…ุฑูƒุฒูŠุฉ
396
+
397
+ 100
398
+ 00:09:27,100 --> 00:09:31,140
399
+ ุงู„ู„ูŠ ู„ูˆ ุณุฃู„ุช ูƒู„ ูˆุงุญุฏุฉ ููŠูƒูˆุง ุนู…ุฑู‡ุงุŒ ู…ู…ูƒู† ูˆุงุญุฏุฉ
400
+
401
+ 101
402
+ 00:09:31,140 --> 00:09:35,080
403
+ ุงู„ุณุจุนุชุงุดุŒ ูˆุงุญุฏุฉ ุชู…ุงู†ุชุงุดุŒ ูˆุงุญุฏุฉ ุนุดุฑูŠู† ูˆู‡ุงูƒุฐุงุŒ ู„ูˆ
404
+
405
+ 102
406
+ 00:09:35,080 --> 00:09:38,900
407
+ ุนุงูŠุฒ ุฃุฎุฏ ุงู„ center ุชุจุนูƒู…ุŒ ู‡ุฐุง ุงู„ center ู…ุนู†ุงู‡
408
+
409
+ 103
410
+ 00:09:38,900 --> 00:09:43,860
411
+ ุงู„ู‚ูŠู… ุชูŠุฌูŠ ุญูˆุงู„ูŠู† ุจุนุถู‡ู…ุŒ ู…ุชูˆุณุทุงุชู‡ู…ุŒ ู ุงู„ center
412
+
413
+ 104
414
+ 00:09:43,860 --> 00:09:50,040
415
+ tendency is the extent to which the valuesุงู„ุนูŠู…ุง
416
+
417
+ 105
418
+ 00:09:50,040 --> 00:09:53,360
419
+ ุฏู‡ ุฃู†ู‡ ููŠ ุนู†ุฏู‡ ู‚ูŠู… of numerical variable group
420
+
421
+ 106
422
+ 00:09:53,360 --> 00:09:57,540
423
+ around a typical or central value ูŠุนู†ูŠ ุงู„ู‚ูŠู…
424
+
425
+ 107
426
+ 00:09:57,540 --> 00:10:02,060
427
+ ุชุชู…ุฑูƒุฒ ูˆูŠู†ุŸ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุชูˆุณุทุŒ ูˆุงุญุฏุฉ ู…ู†ู‡ุง ุงู„ู…ุชูˆุณุทุŒ
428
+
429
+ 108
430
+ 00:10:02,060 --> 00:10:05,460
431
+ ู‡ู†ุงุฎุฏู‡ุง ุจุนุฏ ุดูˆูŠุฉ ู„ุฐุง ุงู„ central ู…ุนู†ุงู‡ุง ุงู„ู‚ูŠู… ุชุชุฌู…ุน
432
+
433
+ 109
434
+ 00:10:05,460 --> 00:10:09,000
435
+ ุฃูˆ ุชุชู…ุฑูƒุฒ ุญูˆุงู„ูŠู† ู‚ูŠู…ุฉ ููŠ ุงู„ู†ุตูุŒ ุจู†ุณู…ูŠู‡ุง ุงู„ central
436
+
437
+ 110
438
+ 00:10:09,000 --> 00:10:14,200
439
+ value ุงู„ variation is the amount of dispersion
440
+
441
+ 111
442
+ 00:10:14,200 --> 00:10:21,510
443
+ ุงู†ุชุดุงุฑ ุฃูˆ ุชุดุชุชุŒ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุชor scattering away ู…ุด
444
+
445
+ 112
446
+ 00:10:21,510 --> 00:10:26,570
447
+ scattering away ุชู†ุชุดุฑ ุจุดูƒู„ ุจุนูŠุฏ ุนู† ุงู„ู€ central
448
+
449
+ 113
450
+ 00:10:26,570 --> 00:10:31,130
451
+ value ูŠุนู†ูŠ ุงู„ variation ุจู‚ูŠุณ ูƒู…ูŠุฉ ุงู„ุชุดุชุช ูŠุนู†ูŠ ุงุฐุง
452
+
453
+ 114
454
+ 00:10:31,130 --> 00:10:36,450
455
+ ุงู„ุชุดุชุช ุตุบูŠุฑ ูƒุจูŠุฑ ุงูˆ ู…ุชูˆุณุท that
456
+
457
+ 115
458
+ 00:10:36,450 --> 00:10:40,730
459
+ the values of a numerical variable shown ุงุฐุง ุงู„
460
+
461
+ 116
462
+ 00:10:40,730 --> 00:10:44,570
463
+ variation ุจู‚ูŠุณ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุช ู„ู„ู‚ูŠู… ุนู† ุงู„ู…ุชูˆุณุท
464
+
465
+ 117
466
+ 00:10:44,570 --> 00:10:51,270
467
+ ุงู„ุญุณุงุจูŠุทุจ ุงู„ shape ุงู„ุดูƒู„ is the pattern of the
468
+
469
+ 118
470
+ 00:10:51,270 --> 00:10:56,210
471
+ distribution pattern ู…ุนู†ุงู‡ ู†ู…ุท ุงู„ุชูˆุฒูŠุน of values
472
+
473
+ 119
474
+ 00:10:56,210 --> 00:10:59,550
475
+ from the lowest value to the largest ูŠุนู†ูŠ ุดูƒู„
476
+
477
+ 120
478
+ 00:10:59,550 --> 00:11:03,730
479
+ ุงู„ุชูˆุฒูŠุน ู…ู† ุฃุตุบุฑ ู‚ูŠู…ุฉ ู„ุฃูƒุจุฑ ู‚ูŠู…ุฉ ุจู†ุณู…ูŠู‡ the shape
480
+
481
+ 121
482
+ 00:11:03,730 --> 00:11:11,940
483
+ ุฅุฐุง ููŠ ุนู†ุฏ ุงู„ centralุงู„ู‚ูŠู… ู…ุฑูƒุฒูŠุฉ ุนู† ู‚ูŠู… ุนุงู…ุฉ ุฃูˆ
484
+
485
+ 122
486
+ 00:11:11,940 --> 00:11:15,760
487
+ ุจุนุถ ุงู„ุฃุญูŠุงู† ุงุณู…ู‡ุง ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ ู‡ุฐุง ุงุณู…ู‡ุง ุชู†ุฏู†ุณูŠุฉ
488
+
489
+ 123
490
+ 00:11:15,760 --> 00:11:23,180
491
+ ู…ุฑูƒุฒูŠุฉ ู…ุฎุชู„ูุฉ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุช ู…ู† ุงู„ู…ุฑูƒุฒ ูƒู… ุชุดุชุช ุนู„ู‰
492
+
493
+ 124
494
+ 00:11:23,180 --> 00:11:28,760
495
+ ุงู„ู…ุชูˆุณุท ุงู„ุญุณุงุจูŠ ุงู„ุชุงู„ุช ุงู„ุดูƒู„ ู‡ูˆ ุทุฑูŠู‚ุฉ ุงู„ู…ุดุงุฑูƒุฉ ู…ู†
496
+
497
+ 125
498
+ 00:11:28,760 --> 00:11:35,180
499
+ ุฃุตุบุฑ ุฅู„ู‰ ุฃูƒุจุฑ ู…ุง ู‡ูˆ ุฃุตุบุฑุŸุฃุตุบุฑ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู‡ุฐูˆู„ ุงู„ู€
500
+
501
+ 126
502
+ 00:11:35,180 --> 00:11:39,260
503
+ three definitions ู‡ู†ุงุฎุฏ ูƒู„ ูˆุงุญุฏ ุจุงู„ุชูุตูŠู„ The first
504
+
505
+ 127
506
+ 00:11:39,260 --> 00:11:44,880
507
+ one talks about measures of central tendency ู†ุงุฎุฏ
508
+
509
+ 128
510
+ 00:11:44,880 --> 00:11:53,620
511
+ ู…ู‚ูŠุงุณ ู„ู‡ู… ุฃูˆู„ ู…ู‚ูŠุงุณ is called the mean ูƒู„ู†ุง ุจู†ุนุฑู
512
+
513
+ 129
514
+ 00:11:53,620 --> 00:11:53,960
515
+ ุงู„ mean
516
+
517
+ 130
518
+ 00:11:56,810 --> 00:12:01,090
519
+ ุงู„ู€ mean ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู…ุชูˆุณุท ุญุณุงุจูŠ it's called the
520
+
521
+ 131
522
+ 00:12:01,090 --> 00:12:06,030
523
+ arithmetic mean ุฃูˆ ู„ุณู‡ ูˆู„ุง ุจู†ุญูƒูŠ often just called
524
+
525
+ 132
526
+ 00:12:06,030 --> 00:12:10,690
527
+ the mean ุจุณ ุจุญูƒูŠ ุนู†ู‡ the mean it's
528
+
529
+ 133
530
+ 00:12:10,690 --> 00:12:15,890
531
+ the most common measure of central tendency ุฅูŠุด
532
+
533
+ 134
534
+ 00:12:15,890 --> 00:12:20,090
535
+ ูŠุนู†ูŠ most common central of central tendencyุŸุฃุดู‡ุฑ
536
+
537
+ 135
538
+ 00:12:20,090 --> 00:12:24,810
539
+ ู…ู‚ูŠุงุณ ุฃูˆ ุงู„ู…ู‚ูŠุงุณ ุงู„ุฃูƒุชุฑ ุดูŠูˆุนุง ุฃูˆ ุงู„ู…ู‚ูŠุงุณ ุงู„ุฃูƒุชุฑ
540
+
541
+ 136
542
+ 00:12:24,810 --> 00:12:29,770
543
+ ุงุณุชุฎุฏุงู…ุง ุฅุฐุง ุฃูƒุชุฑ ู…ู‚ูŠุงุณ ุณู†ุณุชุฎุฏู…ู‡ ุงู„ู€mean ุงู„ู€mean
544
+
545
+ 137
546
+ 00:12:29,770 --> 00:12:34,310
547
+ ู‡ูˆ ุฃูƒุชุฑ ู…ู‚ูŠุงุณ ุนุงู… ู„ู„ุชู†ุฏู†ุณูŠุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุงู„ุขู† ุงู„ุณุคุงู„
548
+
549
+ 138
550
+ 00:12:34,310 --> 00:12:37,450
551
+ ู‡ูˆ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
552
+
553
+ 139
554
+ 00:12:37,450 --> 00:12:40,150
555
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
556
+
557
+ 140
558
+ 00:12:40,150 --> 00:12:40,730
559
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
560
+
561
+ 141
562
+ 00:12:40,730 --> 00:12:42,880
563
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ุฃุญู†ุง ู†ุฃุฎุฐ
564
+
565
+ 142
566
+ 00:12:42,880 --> 00:12:46,840
567
+ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ุฃูˆ ู…ุฌู…ูˆุนุฉ ุตูุฑ ู† ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง ู†
568
+
569
+ 143
570
+ 00:12:46,840 --> 00:12:52,640
571
+ ุทู„ุงุจ ู† ู…ุซู„ุง ุฃูˆ ู…ู„ุงุญุธุงุช ู† ุฃูˆ ู…ุฌู…ูˆุนุฉ ู† ุงู„ู…ุฌู…ูˆุนุฉ
572
+
573
+ 144
574
+ 00:12:52,640 --> 00:12:55,800
575
+ ู…ุฎุชู„ูุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
576
+
577
+ 145
578
+ 00:12:55,800 --> 00:12:56,040
579
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
580
+
581
+ 146
582
+ 00:12:56,040 --> 00:12:59,480
583
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
584
+
585
+ 147
586
+ 00:12:59,480 --> 00:12:59,540
587
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
588
+
589
+ 148
590
+ 00:12:59,540 --> 00:13:03,040
591
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
592
+
593
+ 149
594
+ 00:13:03,040 --> 00:13:07,300
595
+ ู…ู‚ุตุฏุฉ ู…
596
+
597
+ 150
598
+ 00:13:10,740 --> 00:13:15,720
599
+ ู…ู…ูƒู† ุฃุณู…ูŠู‡ Y bar ู„ูƒู† ุบุงู„ุจุง ู†ุณุชุฎุฏู… X bar ุฅุฐุง X bar
600
+
601
+ 151
602
+ 00:13:15,720 --> 00:13:20,640
603
+ it stands for the mean or the arithmetic mean X
604
+
605
+ 152
606
+ 00:13:20,640 --> 00:13:26,700
607
+ bar equals .. we have a new symbol here this
608
+
609
+ 153
610
+ 00:13:26,700 --> 00:13:32,700
611
+ called summation summation
612
+
613
+ 154
614
+ 00:13:32,700 --> 00:13:38,200
615
+ ูŠุนู†ูŠ ู…ุฌู…ูˆุนุฉ summation
616
+
617
+ 155
618
+ 00:13:38,200 --> 00:13:40,140
619
+ of X I
620
+
621
+ 156
622
+ 00:13:48,720 --> 00:13:53,940
623
+ ุงู„ู‚ูŠู…ุฉ ุฑู‚ู… I ูŠุนู†ูŠ ุงูŠุด ุงู„ู‚ูŠู…ุฉ ุฑู‚ู… IุŸ ุนู„ู‰ ุณุจูŠู„
624
+
625
+ 157
626
+ 00:13:53,940 --> 00:14:03,180
627
+ ุงู„ู…ุซุงู„ุŒ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ 16 20 26 30 40 50
628
+
629
+ 158
630
+ 00:14:03,180 --> 00:14:11,020
631
+ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุงู„ุขู† ู‚ูŠู…ุฉ ุงู„ุฃูˆู„ู‰ 16ู†ุณุชุฎุฏู… X1 ู„ู€ 16 ูX1
632
+
633
+ 159
634
+ 00:14:11,020 --> 00:14:17,200
635
+ ู‡ูŠ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
636
+
637
+ 160
638
+ 00:14:17,200 --> 00:14:18,300
639
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
640
+
641
+ 161
642
+ 00:14:18,300 --> 00:14:18,760
643
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
644
+
645
+ 162
646
+ 00:14:18,760 --> 00:14:19,440
647
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
648
+
649
+ 163
650
+ 00:14:19,440 --> 00:14:20,200
651
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
652
+
653
+ 164
654
+ 00:14:20,200 --> 00:14:21,880
655
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
656
+
657
+ 165
658
+ 00:14:21,880 --> 00:14:22,720
659
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
660
+
661
+ 166
662
+ 00:14:22,720 --> 00:14:34,500
663
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
664
+
665
+ 167
666
+ 00:14:34,500 --> 00:14:41,090
667
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃ6ุŒ 1,2,3 ุฅู„ู‰ 6ุŒ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง 6
668
+
669
+ 168
670
+ 00:14:41,090 --> 00:14:46,590
671
+ ู…ู„ุงุญุธุงุชุŒ ู„ุฐู„ูƒ ุตู…ู… ุงู„ู…ุฌู…ูˆุนุฉ ูŠู‚ู„ 6ุŒ ู„ุฐู„ูƒ ุตู…ู… XIุŒ I
672
+
673
+ 169
674
+ 00:14:46,590 --> 00:14:55,730
675
+ ูŠุชุฌู‡ ู…ู† 1 ุฅู„ู‰ 6ุŒ ูŠุนู†ูŠ X1 plus X2 ุฅู„ู‰ XNุŒ ุชู‚ู„ ู…ู† NุŒ
676
+
677
+ 170
678
+ 00:14:55,730 --> 00:15:06,290
679
+ ู…ุงู‡ูˆ NุŸ N ู‡ูˆ ุตู…ู… ุงู„ู…ุฌู…ูˆุนุฉSo the mean equals
680
+
681
+ 171
682
+ 00:15:06,290 --> 00:15:13,290
683
+ summation of XI divided by N Now once again X bar
684
+
685
+ 172
686
+ 00:15:13,290 --> 00:15:19,650
687
+ pronounced as X bar This symbol is called
688
+
689
+ 173
690
+ 00:15:19,650 --> 00:15:25,930
691
+ summation ู‡ุฐุง ู…ุณู…ู‰ ุงู„ู…ุฌู…ูˆุน ุงู„ Xุงุช ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† ุงู„
692
+
693
+ 174
694
+ 00:15:25,930 --> 00:15:29,070
695
+ observed values ุงู„ู‚ูŠู… ุงู„ู…ุดุงู‡ุฏุฉ ุงูŠุด ุงู„ observed
696
+
697
+ 175
698
+ 00:15:29,070 --> 00:15:34,670
699
+ ุงู„ู„ูŠ ู‡ูˆ ู…ุฏุฑุณุฉ 16 ู‡ู‚ูˆู„ observedobserved ูŠุนู†ูŠ
700
+
701
+ 176
702
+ 00:15:34,670 --> 00:15:40,230
703
+ ุงู„ู…ู„ุงุญุธุฉุŒ ุงู„ู‚ูŠู… ุงู„ู…ุดุงู‡ุฏุฉ ุฃูˆ ุงู„ู…ู„ุงุญุธุฉ ุฅู† ู‡ู…ุง ุนุดุฑูŠู†ุŒ
704
+
705
+ 177
706
+ 00:15:40,230 --> 00:15:42,150
707
+ ุณุชุฉ ูˆุนุดุฑูŠู†ุŒ ุชู„ุงุชูŠู† ูˆู…ุง ูƒุงู†ุŒ similar observed
708
+
709
+ 178
710
+ 00:15:42,150 --> 00:15:45,670
711
+ values ุฅุฐุง
712
+
713
+ 179
714
+ 00:15:45,670 --> 00:15:48,710
715
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ู€ the mean is the sum of the data ุฏูŠ
716
+
717
+ 180
718
+ 00:15:48,710 --> 00:15:52,290
719
+ ุจู‚ู‰ ูŠุชุจูŠู† ู…ุด ู‡ูŠูƒุŒ ู…ุชูˆุณุท ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู…ุฌู…ูˆุน ุงู„ู‚ูŠู…
720
+
721
+ 181
722
+ 00:15:52,290 --> 00:15:56,310
723
+ ุนู„ู‰ ุฃุฏุชู‡ุงุŒ ูู‡ูŠ ุงู„ summation ุชุจุนู‡ู… ุนู„ู‰ ุฃุฏุชู‡ู…
724
+
725
+ 182
726
+ 00:16:01,670 --> 00:16:05,130
727
+ once again the most common measure of center
728
+
729
+ 183
730
+ 00:16:05,130 --> 00:16:09,670
731
+ tendency is the mean definition of the mean some
732
+
733
+ 184
734
+ 00:16:09,670 --> 00:16:16,170
735
+ values divided by the number of values ู…ุฌู…ูˆุญู‡ู… ุนู„ู‰
736
+
737
+ 185
738
+ 00:16:16,170 --> 00:16:20,350
739
+ ุนุฏุฏู‡ู… number
740
+
741
+ 186
742
+ 00:16:20,350 --> 00:16:23,470
743
+ three the mean is affected by extreme values or
744
+
745
+ 187
746
+ 00:16:23,470 --> 00:16:27,890
747
+ outliersู…ุด ู…ุนู†ุงู‡ affected by extreme values ุจุชุฃุซุฑ
748
+
749
+ 188
750
+ 00:16:27,890 --> 00:16:33,850
751
+ extreme ู…ุนู†ุงู‡ุงู‚ูŠู… ุดุงุฏุฉ ุงูˆ ู…ุชุทุฑูุฉ ู‚ูŠู… ุดุงุฏุฉ ุงูˆ
752
+
753
+ 189
754
+ 00:16:33,850 --> 00:16:38,950
755
+ ู…ุชุทุฑูุฉ ู…ุนู†ุงู‡ุง ุงู…ุง large ุงูˆ small ุงุฐุง ุงู„ mean is
756
+
757
+ 190
758
+ 00:16:38,950 --> 00:16:46,410
759
+ affected by extreme values now
760
+
761
+ 191
762
+ 00:16:46,410 --> 00:16:51,110
763
+ let's see how can we compute the mean now suppose
764
+
765
+ 192
766
+ 00:16:51,110 --> 00:17:00,350
767
+ we have this data set we have 11 12 13 14 and 15
768
+
769
+ 193
770
+ 00:17:06,180 --> 00:17:10,100
771
+ ุงู„ุงู† ู„ูƒูŠ ู†ุญุตู„ ุนู„ู‰ ู…ุฌู…ูˆุญ ุงู„ู€ X bar ู†ุถูŠู ูู‚ุท ู‡ุฐู‡
772
+
773
+ 194
774
+ 00:17:10,100 --> 00:17:14,580
775
+ ุงู„ู‚ูŠู… ุซู…
776
+
777
+ 195
778
+ 00:17:14,580 --> 00:17:20,500
779
+ ู†ู‚ู„ ุจุงู„ N ู…ุฌู…ูˆุญู‡ู… ูˆู…ุฌุณู… ุนู„ู‰ ุนุฏุฏู‡ู… 11 13 ู„ุบุงูŠุฉ ู…ุง
780
+
781
+ 196
782
+ 00:17:20,500 --> 00:17:26,640
783
+ ุฎู„ุต ู„ูˆ ุฌู…ุนุชู‡ู… ุจุทู„ุน 65 over 5 so 13 ูู…ุฌู…ูˆุนู‡ู… ุนู„ู‰
784
+
785
+ 197
786
+ 00:17:26,640 --> 00:17:34,160
787
+ ุนุฏุฏู‡ู… 13 ูู…ุฌู…ูˆุญู‡ู…
788
+
789
+ 198
790
+ 00:17:34,160 --> 00:17:43,610
791
+ ุนู„ู‰ ุนุฏุฏู‡ู…ุงู„ุฃู† ู†ูุชุฑุถ ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุฌุงุจ 15 ุดูŠู„ู†ุงู‡ ูˆ
792
+
793
+ 199
794
+ 00:17:43,610 --> 00:17:53,770
795
+ ูŠู‚ูˆู… ุจุฅุนุงุฏุฉ 15 value ูˆ ูŠู‚ูˆู… ุจุฅุนุงุฏุฉ 20 now let's
796
+
797
+ 200
798
+ 00:17:53,770 --> 00:17:58,410
799
+ calculate the new mean the new mean is just 11 12
800
+
801
+ 201
802
+ 00:17:58,410 --> 00:18:03,690
803
+ 13 plus 20 over 5 this gives 14
804
+
805
+ 202
806
+ 00:18:07,100 --> 00:18:14,140
807
+ ุงู„ู‚ูŠู…ุฉ ูƒุงู†ุช 13 ูˆุนู†ุฏ ุชุบูŠูŠุฑู‡ุง ุฅู„ู‰ 20 ุชุบูŠุฑ ุงู„ู‚ูŠู…ุฉ ุฅู„ู‰
808
+
809
+ 203
810
+ 00:18:14,140 --> 00:18:19,280
811
+ 14 ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ู‚ูŠู…ุฉ ุชุชุฃุซุฑ ู…ู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ู€ 20
812
+
813
+ 204
814
+ 00:18:19,280 --> 00:18:26,460
815
+ ุจุนูŠุฏุฉ ู‚ู„ูŠู„ ู…ู† 15 ุชุนุชุจุฑ ู‚ูŠู…ุฉ ุฃูƒุชุฑูŠู… ุชู„ุงุญุธ ุฃู† ุงู„ู‚ูŠู…ุฉ
816
+
817
+ 205
818
+ 00:18:26,460 --> 00:18:31,960
819
+ ุชุชุบูŠุฑ ุตุญ ุชุชุบูŠุฑ ุจู…ู‚ุฏุงุฑ ุจุณูŠุท ูˆู„ูƒู† ุชุชุบูŠุฑุฅุฐุง ุงู„ุณุจุจ
820
+
821
+ 206
822
+ 00:18:31,960 --> 00:18:35,060
823
+ ุจุชุบูŠุฑ ู„ุฃู† ุงู„ู€mean ุชุนูŠุด ุชุนุฑูŠูู‡ sum of values
824
+
825
+ 207
826
+ 00:18:35,060 --> 00:18:39,440
827
+ divided by n ูู„ู…ุง ุบูŠุฑู‡ุง 15 ุจ20 ุฃูƒูŠุฏ ุงู„ู€mean ู‡ูŠุชุบูŠุฑ
828
+
829
+ 208
830
+ 00:18:39,440 --> 00:18:49,320
831
+ ุฅุฐุง ุงู„ู€mean is affected by extreme values one
832
+
833
+ 209
834
+ 00:18:49,320 --> 00:18:55,900
835
+ more example suppose we have this data one up to
836
+
837
+ 210
838
+ 00:18:55,900 --> 00:18:56,880
839
+ nine
840
+
841
+ 211
842
+ 00:19:00,190 --> 00:19:07,470
843
+ ุงู„ุงู† ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุจูŠุงู†ุงุชุŸ ุณู…ูŠุฉ ุชู‚ุฑูŠุจุง ู…ู† N ุฅุฐุง
844
+
845
+ 212
846
+ 00:19:07,470 --> 00:19:11,650
847
+ ู‚ู…ู†ุง ู†ู‚ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ู†
848
+
849
+ 213
850
+ 00:19:11,650 --> 00:19:16,850
851
+ ูˆุงุญุฏุฉ ุฅู„ู‰ ุชุณุนุฉ ู…ุฌู…ูˆุญู‡ู… ุฎู…ุณุฉ ูˆุงุฑุจุนูŠู†ุŒ forty five
852
+
853
+ 214
854
+ 00:19:16,850 --> 00:19:26,770
855
+ ุนุฏุฏู‡ู… ุชุณุนุฉ ูู‚ูŠู…ู‡ุง ุฎู…ุณุฉ ุงุฐุง ู‚ู…ู†ุง ู†ุถูŠู ู…ุงุฆุฉ ุฅู„ู‰ ู‡ุฐู‡
856
+
857
+ 215
858
+ 00:19:26,770 --> 00:19:27,050
859
+ ุงู„ู‚ูŠู…
860
+
861
+ 216
862
+ 00:19:30,040 --> 00:19:34,200
863
+ 100 ู‡ูŠ ู‚ูŠู…ุฉ ุฃูƒุชุฑุŒ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉุŒ outlierุŒ ู‚ูŠู…ุฉ ุดุงุฏุฉ
864
+
865
+ 217
866
+ 00:19:34,200 --> 00:19:40,540
867
+ ู„ูˆ ุถูุช ุงู„ู…ูŠุฉ ุนู„ูŠู‡ู…ุŒ ุงู„ู€ new mean ู…ุด ู‡ูŠุณุงูˆูŠุŒ ุตุงุฑ
868
+
869
+ 218
870
+ 00:19:40,540 --> 00:19:45,700
871
+ 145ุŒ ุงู„ู€ sample size ู‡ูˆ 10 ู„ุฃู†ู†ุง ู‚ู…ู†ุง ุจุฅุถุงูุฉ ู‚ูŠู…ุฉ
872
+
873
+ 219
874
+ 00:19:45,700 --> 00:19:51,180
875
+ ูˆุงุญุฏุฉุŒ 14.5 ู„ุญุธุฉุŒ
876
+
877
+ 220
878
+ 00:19:51,180 --> 00:19:55,080
879
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู‚ุฏูŠู…ุฉ ูƒุงู†ุช 5ุŒ ูˆ ุงู„ุขู† ุชุตุจุญ 14.5 ู‡ุฐุง ูŠุนู†ูŠ
880
+
881
+ 221
882
+ 00:19:55,080 --> 00:20:00,300
883
+ ุฃู† ุงู„ู‚ูŠู…ุฉ ุชุชุฃุซุฑ ู…ู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุชุฑูˆุงุถุญ ุฃู†ู‡ ูŠุชุฃุซุฑ
884
+
885
+ 222
886
+ 00:20:00,300 --> 00:20:04,820
887
+ ุงู„ู‚ูŠู… ุงู„ูƒุจูŠุฑุฉ ุชู„ุงุญุธ ุงู„ู‚ูŠู…ุฉ ูƒุงู†ุช ุฎู…ุณุฉ ุตุงุฑุช ุฃุฑุจุนุชุงุดุฑ
888
+
889
+ 223
890
+ 00:20:04,820 --> 00:20:08,480
891
+ ูˆ ู†ุต ุชู‚ุฑูŠุจุง ุชู„ุงุชุฉ ุถุนู ุนุดุงู† ูƒุฏู‡ ุจู†ุญูƒูŠ the mean is
892
+
893
+ 224
894
+ 00:20:08,480 --> 00:20:13,040
895
+ affected by extreme value ุฅุฐุง ุจุชุฃุซุฑ ุงู„ู‚ูŠู… ุงู„ุดุฏู‘ุฉ
896
+
897
+ 225
898
+ 00:20:13,040 --> 00:20:16,500
899
+ ู‡ูŠ
900
+
901
+ 226
902
+ 00:20:16,500 --> 00:20:20,580
903
+ ูŠุนู†ูŠ ู„ุฅู† ุจู‚ุฏุฑุด ุฃุฌูŠุจ ุนู„ูŠู‡ุง ุงู„ุณุคุงู„ ู‡ู†ุฎู„ูŠู‡ ู„ุจุนุฏูŠ ู„ู…ุง
904
+
905
+ 227
906
+ 00:20:20,580 --> 00:20:25,500
907
+ ู†ุงุฎุฏ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ box plot ู„ูƒู† ู…ุจุฏุฃูŠุง ุงู„ twenty
908
+
909
+ 228
910
+ 00:20:25,500 --> 00:20:31,620
911
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ุชู„ุงุญุธูŠุงู„ู€ 13 ู„ 14 ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุนุดุงู† ูƒุฏู‡
912
+
913
+ 229
914
+ 00:20:31,620 --> 00:20:37,040
915
+ ุงู„ 20 ู…ู…ูƒู† ู…ุด extreme value ู„ูƒู† ู„ู…ุง ุญุงุทู„ุช ุงู„ู…ูŠุฉ ู…ู†
916
+
917
+ 230
918
+ 00:20:37,040 --> 00:20:42,360
919
+ 5 ู„ 14 ูˆ ู†ุต ูˆุงุถุญ ุงู„ู…ุณุงูุฉ ูƒุจูŠุฑุฉ ุจูŠู†ู‡ู… ู„ูƒู† ู…ู‚ุฏุฑุด
920
+
921
+ 231
922
+ 00:20:42,360 --> 00:20:46,840
923
+ ุงุญุฏุฏ ุงู„ุขู† ู„ูƒู† ูˆุงุถุญ ุงู†ู‡ ููŠ ุงู„ data ุงู„ุฃูˆู„ู‰ ุงู„ 20 is
924
+
925
+ 232
926
+ 00:20:46,840 --> 00:20:50,160
927
+ not that extreme value ู…ุด ูƒุชูŠุฑุฉ ุจุนูŠุฏุฉ ุนุดุงู† ูƒุฏู‡ ุงู„
928
+
929
+ 233
930
+ 00:20:50,160 --> 00:20:56,740
931
+ mean ูƒุงู† 13 ุตุงุฑ 14 ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑุณุคุงู„ูƒ ูƒูˆูŠุณ ุจุณ ุฃุฌุงุจ
932
+
933
+ 234
934
+ 00:20:56,740 --> 00:21:01,940
935
+ ุนู„ูŠู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ุฎู„ุงู„ ุงู„ู„ู‚ุงุกุงุช ุงู„ู„ูŠ ุฌุงูŠุฉ the
936
+
937
+ 235
938
+ 00:21:01,940 --> 00:21:07,740
939
+ next measure is called the median ุงูŠุด medianุŸ ูˆุณูŠุท
940
+
941
+ 236
942
+ 00:21:07,740 --> 00:21:13,140
943
+ ุงู„ median ู…ุนู†ุงู‡ ุงู„ูˆุณูŠุท ุชุนุฑู
944
+
945
+ 237
946
+ 00:21:13,140 --> 00:21:17,480
947
+ ุงู„ูˆุณูŠุท the value in the middle ุงู„ู‚ูŠู…ุฉ ุงู„ู ูˆ ุงู„ู†ุตุจุณ
948
+
949
+ 238
950
+ 00:21:17,480 --> 00:21:20,520
951
+ after we arrange the data from smallest to largest
952
+
953
+ 239
954
+ 00:21:20,520 --> 00:21:23,500
955
+ ู„ู…ุง ุฃุฑุชุจ ุงู„ู‚ูŠุงู… ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ ุดูˆูŠุฉ ู‚ูŠู…
956
+
957
+ 240
958
+ 00:21:23,500 --> 00:21:27,280
959
+ ุจุชุฑุชุจูŠู‡ู… ู…ู† ุงู„ุตุบูŠุฑ ู„ู„ูƒุจูŠุฑ ุฃูˆ ุงู„ุนูƒุณ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ููŠ
960
+
961
+ 241
962
+ 00:21:27,280 --> 00:21:30,360
963
+ ุงู„ูˆุณุท ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ media ู…ุนู†ุงู‡ ู‚ูŠู…ุฉ ููŠ ุงู„ูˆุณุท
964
+
965
+ 242
966
+ 00:21:30,360 --> 00:21:33,140
967
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจุชุณุงูˆูŠ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ูŠุนู†ูŠ
968
+
969
+ 243
970
+ 00:21:33,140 --> 00:21:36,280
971
+ ุนุฏุฏ ุงู„ู‚ูŠุงู… ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุจุชุณุงูˆูŠ ุนุฏุฏ ุงู„ู‚ูŠุงู… ุงู„ู„ูŠ
972
+
973
+ 244
974
+ 00:21:36,280 --> 00:21:40,460
975
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู‡ุฐุง ู…ุนู†ุงู‡ in an ordered array ููŠ ู…ุตููˆูุฉ
976
+
977
+ 245
978
+ 00:21:40,460 --> 00:21:47,550
979
+ ู…ุฑุชุจุฉ the median is the middle numbermiddle number
980
+
981
+ 246
982
+ 00:21:47,550 --> 00:21:52,490
983
+ ุงู„ู‚ูŠู…ุฉ ุฅูŠุดุŸ ููŠ ุงู„ู…ู†ุชุตู ู…ุนู†ู‰ ุงู„ู‚ูŠู…ุฉ ููŠ ุงู„ู…ู†ุชุตู ูŠุนู†ูŠ
984
+
985
+ 247
986
+ 00:21:52,490 --> 00:21:59,010
987
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ above ูˆ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ below ู„ุฃู†
988
+
989
+ 248
990
+ 00:21:59,010 --> 00:22:02,970
991
+ ูˆูŠู† ุงู„ูˆุณุทุฉ ููŠ ุฃุตุงุจุนูƒุŸ ููŠ ุงู„ู†ุต ู…ุธุจูˆุท ุฅูŠุด ู…ุนู†ู‰ ููŠ
992
+
993
+ 249
994
+ 00:22:02,970 --> 00:22:05,850
995
+ ุงู„ู†ุตุŸ ูŠุนู†ูŠ ุงุชู†ูŠู† ุนู„ู‰ ุงู„ุดู…ุงู„ ูˆ ุงุชู†ูŠู† ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ
996
+
997
+ 250
998
+ 00:22:05,850 --> 00:22:07,490
999
+ ุงู„ middle and the value in the middle when we
1000
+
1001
+ 251
1002
+ 00:22:07,490 --> 00:22:10,350
1003
+ arrange the data from smallest to largest ุฃูˆ ู…ู†
1004
+
1005
+ 252
1006
+ 00:22:10,350 --> 00:22:15,190
1007
+ largest to smallestุฃุฑุจุนุฉ ู‡ูˆ ู†ูุณ ุงู„ูƒู„ุจ ุงู„ุตุบูŠุฑ ุฃูŠู‡ุง
1008
+
1009
+ 253
1010
+ 00:22:15,190 --> 00:22:21,090
1011
+ ุจุชุญูƒูŠ .. ู„ูˆ ูƒุงู† ุฃุนุฏุงุฏู‡ู… ุฃุฑุจุนุฉ ู‡ุฌูŠุจูƒ ุฃุณูˆุฃ ุจุนุฏ ุงู„
1012
+
1013
+ 254
1014
+ 00:22:21,090 --> 00:22:25,710
1015
+ slide ู‡ุฐูŠ ุงู„ู„ูŠ ู‡ู… ู†ุญูƒูŠ ุนู„ู‰ ุงู„ุดุบู„ ุงู„ุทุจูŠุนูŠ ู„ูˆ ูƒุงู†
1016
+
1017
+ 255
1018
+ 00:22:25,710 --> 00:22:27,990
1019
+ ู‡ุฐุง ุดูˆูŠุฉ ู‚ูŠู… ุงู„ medium ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุจุนุฏ
1020
+
1021
+ 256
1022
+ 00:22:27,990 --> 00:22:32,810
1023
+ ู…ุฑุชุจู‡ู… ูˆุนู„ู‰ ูŠู…ูŠู†ู‡ู… ุจุณูˆุก ุนู„ู‰ ุดู…ุงู„ู‡ู… ุฎู„ูŠู†ุง ู†ุดูˆูู‡ุง
1024
+
1025
+ 257
1026
+ 00:22:32,810 --> 00:22:35,730
1027
+ ุจุนุฏ ุดูˆูŠุฉ ู…ุง ู†ุณุชุนุฌู„ุด ูŠุนู†ูŠ ุฌุงูˆุจ ุน ุณุคุงู„ูƒ ุจุนุฏ ุดูˆูŠุฉ
1028
+
1029
+ 258
1030
+ 00:22:35,730 --> 00:22:39,710
1031
+ ุชุทู„ุน ุนู„ู‰ ุงู„ู‚ูŠู… ู‡ุฐูˆู„ ู†ูุณ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ูุงุชุช11 .. 12 ..
1032
+
1033
+ 259
1034
+ 00:22:39,710 --> 00:22:42,570
1035
+ 13 .. 14 .. 15 .. The median and the value in the
1036
+
1037
+ 260
1038
+ 00:22:42,570 --> 00:22:45,810
1039
+ middle ูˆ ู‡ุฏูˆู„ ูˆุงุถุญ ุฃู†ู‡ we arrange the data ู…ุฑุชุจูŠู†
1040
+
1041
+ 261
1042
+ 00:22:45,810 --> 00:22:51,950
1043
+ ุงู„ value in the middle ู‡ูŠ
1044
+
1045
+ 262
1046
+ 00:22:51,950 --> 00:22:56,610
1047
+ ุงู„ median ู„ุญุธุฉ
1048
+
1049
+ 263
1050
+ 00:22:56,610 --> 00:23:01,880
1051
+ 13 ู‡ุฐู‡ุงู„ู‚ูŠู…ุฉ 13 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ุฃู† ู‡ู†ุงูƒ
1052
+
1053
+ 264
1054
+ 00:23:01,880 --> 00:23:06,060
1055
+ ุงุชุตุงู„ูŠู† ุชุญุช 13 ูˆ ุงุชุตุงู„ูŠู† ููˆู‚ู‡ุง ุงุชุตุงู„ูŠู† ุงู‚ู„ ูˆ
1056
+
1057
+ 265
1058
+ 00:23:06,060 --> 00:23:11,960
1059
+ ุงุชุตุงู„ูŠู† ุงุนู„ู‰ ู„ุฐู„ูƒ 13 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ุญุธุฉ
1060
+
1061
+ 266
1062
+ 00:23:11,960 --> 00:23:14,440
1063
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ูƒุงู†ุช ุชู„ุงุชูŠู† ุจุฑุถู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ
1064
+
1065
+ 267
1066
+ 00:23:14,440 --> 00:23:15,400
1067
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1068
+
1069
+ 268
1070
+ 00:23:15,400 --> 00:23:18,240
1071
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1072
+
1073
+ 269
1074
+ 00:23:18,240 --> 00:23:18,700
1075
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1076
+
1077
+ 270
1078
+ 00:23:18,700 --> 00:23:23,340
1079
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1080
+
1081
+ 271
1082
+ 00:23:26,230 --> 00:23:28,710
1083
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ Famous ู…ุง ุงุชุฃุซุฑุด ุจุงู„ู€ Extreme Value
1084
+
1085
+ 272
1086
+ 00:23:28,710 --> 00:23:35,250
1087
+ ู…ุธุจูˆุทุŸ ู‡ู†ุงูƒ ูƒุงู†ุช 14 ุชุฃุซุฑ ุงู„ู€ MedianุŒ ุงู„ู€ Main ู„ูƒู†
1088
+
1089
+ 273
1090
+ 00:23:35,250 --> 00:23:37,970
1091
+ ูˆุงุถุญ ุฅู† ุงู„ู€ Median is not affected by largest
1092
+
1093
+ 274
1094
+ 00:23:37,970 --> 00:23:41,630
1095
+ value ูŠุนู†ูŠ ุงู„ุฎู…ุณุฉ ุนุดุฑ ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุบู…ุถุช ุนู„ูŠู‡ุง ูˆ
1096
+
1097
+ 275
1098
+ 00:23:41,630 --> 00:23:48,210
1099
+ ุญุงุทูŠุช ุจุฏู„ู‡ุง 200 ุจุงู„ุชุงู… ุงู„ Median ูƒุฏู‡ุŸ 13 ู…ุน ูƒุฏู‡ ุงู„
1100
+
1101
+ 276
1102
+ 00:23:48,210 --> 00:23:52,470
1103
+ outliers ู…ุงู„ุงุด ู‚ูŠู…ุฉ ู‡ู†ุง ูŠุนู†ูŠ ุงู„ Median is not
1104
+
1105
+ 277
1106
+ 00:23:52,470 --> 00:23:58,790
1107
+ affectedby extreme outliers or outliers as the
1108
+
1109
+ 278
1110
+ 00:23:58,790 --> 00:24:04,910
1111
+ mean ุฅุฐุง ุงู„ู€ median is less sensitive ุฃู‚ู„ ุญุณุงุณูŠุฉ
1112
+
1113
+ 279
1114
+ 00:24:04,910 --> 00:24:09,710
1115
+ than the median to extreme values ู…ุน ูƒุฏู‡ outlier
1116
+
1117
+ 280
1118
+ 00:24:09,710 --> 00:24:15,810
1119
+ affect the mean much more than the median ุงู„
1120
+
1121
+ 281
1122
+ 00:24:15,810 --> 00:24:19,790
1123
+ outlier ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ mean ุฃูƒุชุฑ ู…ู†ู‡ุง ุนู„ู‰ ุงู„ median
1124
+
1125
+ 282
1126
+ 00:24:19,790 --> 00:24:24,770
1127
+ ุฅุฐุง ุงู„ outliers ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ mean ุฃูƒุชุฑุนุงู„ู€ mean
1128
+
1129
+ 283
1130
+ 00:24:24,770 --> 00:24:31,790
1131
+ ุงู„ู€ mean ุงู„ู„ูŠ ูุงุช ู„ุญุธุฉ ูƒุงู† 13 ุตุงุฑ 14 ู‡ู†ุง
1132
+
1133
+ 284
1134
+ 00:24:31,790 --> 00:24:36,250
1135
+ ุงู„ median ู…ุง ุฒุงู„ the same value ูŠุนู†ูŠ ุจุนุฏ ูƒุฏู‡ if we
1136
+
1137
+ 285
1138
+ 00:24:36,250 --> 00:24:39,830
1139
+ replace the largest value by any other value
1140
+
1141
+ 286
1142
+ 00:24:39,830 --> 00:24:43,150
1143
+ larger than that one then the median stay the same
1144
+
1145
+ 287
1146
+ 00:24:43,150 --> 00:24:47,870
1147
+ ุจุชุฃุซุฑุด ูˆู„ูˆ ุงุชุฃุซุฑ ุชุฃุซุฑู‡ ู…ุด ูƒุจูŠุฑ ุชุทู„ุน ุงู„ example
1148
+
1149
+ 288
1150
+ 00:24:47,870 --> 00:24:51,570
1151
+ ุงู„ู„ูŠ ูุงุช ู…ู† 1 ุฅู„ู‰ 9 ุญูƒูŠู†ุง ุงู„ mean was 5
1152
+
1153
+ 289
1154
+ 00:24:53,820 --> 00:25:01,200
1155
+ ูˆู„ู…ู‘ุง ุถูู†ุง ุงู„ู…ูŠุฉ ุตุงุฑ ุงู„ mean 14.5 ุทุจ ุทู„ุน ุงู„ median
1156
+
1157
+ 290
1158
+ 00:25:01,200 --> 00:25:08,100
1159
+ ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุฃูˆู„ู‰ ุงูˆ ุงู„ median ู…ุงุชุฃุซุฑุด ู‡ูŠ ููŠ ุงู„ู†ุต
1160
+
1161
+ 291
1162
+ 00:25:08,100 --> 00:25:14,560
1163
+ ู…ุธุจูˆุท ููˆุงุถุญ ุงู„ mean ูˆ ุงู„ median ู…ุง ู„ู‡ู… ุฒูŠ ุจุนุถ ุฅู„ู‰
1164
+
1165
+ 292
1166
+ 00:25:14,560 --> 00:25:20,000
1167
+ ู„ู…ุง ุถูุช ุงู„ู…ูŠุฉ ู„ุญุธุฉ ู„ู…ุง ุถูุช ุงู„ู…ูŠุฉ ุนู„ูŠู‡ู…
1168
+
1169
+ 293
1170
+ 00:25:23,150 --> 00:25:27,930
1171
+ ุจุทู„ุช ุงู„ุฎู…ุณุฉ ุงู„ median ู„ุฃู†
1172
+
1173
+ 294
1174
+ 00:25:27,930 --> 00:25:35,130
1175
+ ุงู„ุฎู…ุณุฉ ุนู„ู‰ ูŠุณุงุฑู‡ุง four values ูˆุนู„ู‰ ู…ูŠู†ู‡ุง ุฎู…ุณุฉ ู‡ุฐุง
1176
+
1177
+ 295
1178
+ 00:25:35,130 --> 00:25:39,350
1179
+ ูƒุงู† ุชุณุงูˆูŠ ุฒู…ูŠู†ูƒ ูˆู„ูŠุด ู…ูŠุงู‡ุŒ ุทุจ ูˆุงู„ุณุชุฉุŸ ุจุฑุถู‡ ุงู„ุณุชุฉ
1180
+
1181
+ 296
1182
+ 00:25:39,350 --> 00:25:42,590
1183
+ ู…ุด the median ู„ุฃู†ู‡ ุนู„ู‰ ูŠุณุงุฑู‡ุง ุฎู…ุณุฉ ูˆุนู„ู‰ ู…ูŠู†ู‡ุง
1184
+
1185
+ 297
1186
+ 00:25:42,590 --> 00:25:49,550
1187
+ ุฃุฑุจุนุฉ ุฅุฐุง ุงู„ median ุนุจุงุฑุฉ ุนู† ุฃูŠุดุŸ ุงู„ average ู„ู„
1188
+
1189
+ 298
1190
+ 00:25:49,550 --> 00:25:54,890
1191
+ middle pointsุงู„ู€ average ู„ ู‡ุฏูˆู„ ุงุชู†ูŠู† ูุงู„ average
1192
+
1193
+ 299
1194
+ 00:25:54,890 --> 00:26:02,510
1195
+ ุชู…ุญู‡ู… ุฎู…ุณุฉ ุฒูŠ ุณุชุฉ ุนู„ู‰ ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ู†ุตู ุงุฐุง ู„ู…ุง
1196
+
1197
+ 300
1198
+ 00:26:02,510 --> 00:26:08,910
1199
+ ุงูƒูˆู† ุนู†ุฏู‰ ู‡ุฏูˆู„ุฉ ูƒู… ูˆุงุญุฏุฉ ุงุนุฏุฏู‡ู… ุนุดุฑุฉ ู…ุด ู‡ูŠูƒ ู„ู…ุง
1200
+
1201
+ 301
1202
+ 00:26:08,910 --> 00:26:15,510
1203
+ ูŠูƒูˆู† even ูŠุนู†ูŠ ุนุฏุฏ ุฒูˆุฌูŠ ุจุชุงุฎุฏ ุงู„ average ู„ู„ two
1204
+
1205
+ 302
1206
+ 00:26:15,510 --> 00:26:19,470
1207
+ middle points five plus six ุนู„ู‰ ุงุชู†ูŠู† ู„ุญุธุฉ ุงู„
1208
+
1209
+ 303
1210
+ 00:26:19,470 --> 00:26:20,690
1211
+ median ูƒุงู† ุฎู…ุณุฉ
1212
+
1213
+ 304
1214
+ 00:26:23,680 --> 00:26:28,400
1215
+ ู„ู…ุง ุถูุช ุนู„ูŠู‡ ุงู„ู…ูŠุฉ ุตุงุฑ ุฌุฏูŠู‡ุด ุฎู…ุณุฉ ูˆ ู†ุต ุงุชุบูŠุฑุช
1216
+
1217
+ 305
1218
+ 00:26:28,400 --> 00:26:34,460
1219
+ ู‚ูŠู…ุชู‡ ู…ู† ุฎู…ุณุฉ ู„ุฎู…ุณุฉ ูˆ ู†ุต ุงุฐุง ุงู„ mean ูƒุงู† ุฎู…ุณุฉ ุตุงุฑุช
1220
+
1221
+ 306
1222
+ 00:26:34,460 --> 00:26:42,140
1223
+ ุงุฑุจุนุฉ ุนุดุฑ ูˆ ู†ุต ู„ูƒู† ุงู„ median ูƒุงู†ุช ุฎู…ุณุฉ ุตุงุฑุช ุฎู…ุณุฉ ูˆ
1224
+
1225
+ 307
1226
+ 00:26:42,140 --> 00:26:46,340
1227
+ ู†ุต ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ู…ูŠู† ุงู„ less sensitive ุงู„ mean ูˆู„ุง ุงู„
1228
+
1229
+ 308
1230
+ 00:26:46,340 --> 00:26:51,050
1231
+ medianุงู„ู€ median ุฃู‚ู„ ุญุณุงุณูŠุฉ ู‡ูˆ ุงุชุบูŠุฑ ู…ู† ุฎู…ุณุฉ ุตุญูŠุญ
1232
+
1233
+ 309
1234
+ 00:26:51,050 --> 00:26:55,210
1235
+ ู„ุฎู…ุณุฉ ูˆ ู†ุต ุจุณ ุงู„ุชุบูŠุฑ ุชุจู‚ู‰ ุฃู‚ู„ ู…ู† ุชุบูŠุฑ ุงู„ mean ุงู„
1236
+
1237
+ 310
1238
+ 00:26:55,210 --> 00:26:59,150
1239
+ mean ู…ู† ุฎู…ุณุฉ ู„ุงุฑุจุนุชุงุด ูˆ ู†ุต ูˆุงุถุญ ุงู† ุงู„ mean ุชุนุชุจุฑ
1240
+
1241
+ 311
1242
+ 00:26:59,150 --> 00:27:07,450
1243
+ extreme value ุฅุฐุง in general the median is less
1244
+
1245
+ 312
1246
+ 00:27:07,450 --> 00:27:10,130
1247
+ sensitive than the mean to extreme value ุฃู‚ู„
1248
+
1249
+ 313
1250
+ 00:27:10,130 --> 00:27:10,750
1251
+ ุญุณุงุณูŠุฉ
1252
+
1253
+ 314
1254
+ 00:27:19,270 --> 00:27:24,230
1255
+ ุงู„ุณlide ุงู„ุชุงู„ู ูŠุชูƒู„ู… ุนู† ู…ูˆู‚ุน ุงู„ medium ูƒูŠู ูŠู…ูƒู†ู†ุง
1256
+
1257
+ 315
1258
+ 00:27:24,230 --> 00:27:28,990
1259
+ ุชุญุตูŠู„ ู…ูˆู‚ุน ุงู„ mediumุŸ ูŠุนู†ูŠ ูƒูŠู ู…ู…ูƒู† ู†ุนู…ู„ ุงู„ู…ูƒุงู†
1260
+
1261
+ 316
1262
+ 00:27:28,990 --> 00:27:36,890
1263
+ ุชุจุน ุงู„ mediumุŸ ู‡ู†ุงูƒ ุงุซู†ูŠู† ุญุงู„ุงุช ุฅุฐุง N ุบุฑูŠุจ N
1264
+
1265
+ 317
1266
+ 00:27:36,890 --> 00:27:43,450
1267
+ ุฅูŠุด ุบุฑูŠุจุŸ ุบุฑูŠุจ ู…ุนู†ุงู‡ ุนุฏุฏ ูุฑุฏูŠ ูุฑุฏูŠ ูŠุนู†ูŠ ุชู„ุงุชุฉุŒ
1268
+
1269
+ 318
1270
+ 00:27:43,450 --> 00:27:48,040
1271
+ ุฎู…ุณุฉุŒ ุณุจุนุฉุŒ ุชุณุนุฉ ูˆ ู‡ูƒุฐุงููŠ ุงู„ุญุงู„ุฉ ุงู„ู€ location of
1272
+
1273
+ 319
1274
+ 00:27:48,040 --> 00:27:51,260
1275
+ the median when the values are in numerical order
1276
+
1277
+ 320
1278
+ 00:27:51,260 --> 00:27:55,380
1279
+ it means from smallest to largest the median
1280
+
1281
+ 321
1282
+ 00:27:55,380 --> 00:28:02,720
1283
+ position is n plus one over two ู‡ูŠ ุงู„ position so
1284
+
1285
+ 322
1286
+ 00:28:02,720 --> 00:28:11,880
1287
+ n plus one over two for this example n was five so
1288
+
1289
+ 323
1290
+ 00:28:11,880 --> 00:28:13,180
1291
+ the position of the median
1292
+
1293
+ 324
1294
+ 00:28:16,120 --> 00:28:22,520
1295
+ equal five plus one over two three ุฅุฐุง ุงู„ู…ูƒุงู† ุชุจุน
1296
+
1297
+ 325
1298
+ 00:28:22,520 --> 00:28:27,440
1299
+ ุฑู‚ู… ุชู„ุงุชุฉ ุจุนุฏ ู…ุฑุชุจ ู„ุญุธุฉ ู‡ุฐุง ุงู„ first position
1300
+
1301
+ 326
1302
+ 00:28:27,440 --> 00:28:33,720
1303
+ ุงู„ุดูŠุฎ ู‡ุฐุง ุฃูˆู„ ู…ูƒุงู† ูˆู‡ุฐุง ุงู„ุชุงู†ูŠ ูˆู‡ุฐุง ุงู„ุชุงู„ุช ูˆู‡ุฐุง
1304
+
1305
+ 327
1306
+ 00:28:33,720 --> 00:28:38,320
1307
+ ุงู„ุฑุงุจุน ูˆุงู„ุฎุงู…ุณ ุงู„ medium is in the third position
1308
+
1309
+ 328
1310
+ 00:28:38,320 --> 00:28:41,200
1311
+ ุงู„ third position ู…ูˆู‚ุน ุงู„ุชุงู„ุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู„ุงุชุฉ ุนุดุฑ
1312
+
1313
+ 329
1314
+ 00:28:41,200 --> 00:28:43,820
1315
+ ู„ุญุธุฉ ุงู„ุชู„ุงุชุฉ is not the medium
1316
+
1317
+ 330
1318
+ 00:28:47,860 --> 00:28:52,540
1319
+ is not the median ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ู…ูˆุถูˆุน ุชุจุนู‡
1320
+
1321
+ 331
1322
+ 00:28:52,540 --> 00:28:55,720
1323
+ position of the median ุงูŠุด ุจูŠุทู„ุน ุฏุงูŠู…ุง ูุฑุฏ ุงู‡ ู„ูˆ
1324
+
1325
+ 332
1326
+ 00:28:55,720 --> 00:29:01,040
1327
+ ูƒุงู† ู‡ุฐุง ุงู„ุณุช ุน ุงุชู†ูŠู† ูุฑุฏูŠ ู„ูˆ ุชุณุนุฉ ุชุณุนุฉ ุฒูŠ ูˆุงุญุฏ
1328
+
1329
+ 333
1330
+ 00:29:01,040 --> 00:29:07,940
1331
+ ุงุชู†ูŠู† ูุฑุฏูŠ ูˆูƒุฐุง ุทุจ ุงู„ู…ุซู„ุฉ ุนุฏุฏู‡ู… ุฌุฏูŠุด ุชุณุนุฉ ุชุณุนุฉ ุฒูŠ
1332
+
1333
+ 334
1334
+ 00:29:07,940 --> 00:29:12,630
1335
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุฎู…ุณุฉ ุงู„ู…ูƒุงู† ุฑู‚ู… ุฎู…ุณุฉู‡ู†ุง ุทู„ุน ุฎู…ุณุฉ
1336
+
1337
+ 335
1338
+ 00:29:12,630 --> 00:29:16,930
1339
+ ุจุงู„ุตุฏูุฉ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ูŠุทู„ุน ุฎู…ุณุฉ ู‡ูˆ ๏ฟฝ๏ฟฝู…ุณุฉ ู„ุญุธุฉ ู‡ู†ุง ุทู„ุน
1340
+
1341
+ 336
1342
+ 00:29:16,930 --> 00:29:22,630
1343
+ ุงู„ุชุงู„ุช ุชู„ุชุงุดุฑ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุฅุฐุง ุงู„ medium position n
1344
+
1345
+ 337
1346
+ 00:29:22,630 --> 00:29:27,710
1347
+ plus one over two if the number of values is odd
1348
+
1349
+ 338
1350
+ 00:29:27,710 --> 00:29:31,650
1351
+ ุฅุฐุง ุนุฏุฏู‡ู… ูุฑุฏูŠ the median is the middle number
1352
+
1353
+ 339
1354
+ 00:29:31,650 --> 00:29:38,770
1355
+ ุงู„ู‚ุจู„ ููŠ ุงู„ู†ุต if the number is even ุฅุฐุง ูƒุงู† ุฒูˆุฌูŠ
1356
+
1357
+ 340
1358
+ 00:29:38,770 --> 00:29:42,950
1359
+ ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ุถูู†ุง ุงู„ู…ูŠุฉ ุชูˆุฅุฐุง ูƒุงู†ุช ุงู„ู…ู‚ุงู„ุฉ ู…ุฑุชุจุทุฉุŒ
1360
+
1361
+ 341
1362
+ 00:29:42,950 --> 00:29:45,970
1363
+ ูุฅู† ู…ู‚ุงู„ุฉ ุงู„ู€ Median ู‡ูŠ ุนุงู…ู„ุฉ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงู„ูŠู† ุฃูˆ
1364
+
1365
+ 342
1366
+ 00:29:45,970 --> 00:29:49,430
1367
+ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงู„ูŠูŠู† ู„ุญุธุฉุŒ ู‡ู†ุง ุฃุฎุฐู†ุง ุนุงู…ู„ุฉ ุงู„ุงุซู†ูŠู†
1368
+
1369
+ 343
1370
+ 00:29:49,430 --> 00:29:55,850
1371
+ ุงู„ู…ู‚ุงู„ูŠูŠู† ู„ู€ 5 6 2 ูˆุงุจู‚ู‰ ููŠ ุฐูƒุฑ ุงู† N ุจู„ุณ 1 2 ู„ูŠุณ
1372
+
1373
+ 344
1374
+ 00:29:55,850 --> 00:30:01,450
1375
+ ู…ู‚ุงู„ุฉ ุงู„ู…ู‚ุงู„ุฉ ูู‚ุท
1376
+
1377
+ 345
1378
+ 00:30:01,450 --> 00:30:06,570
1379
+ ู…ู‚ุงู„ุฉ ุงู„ู…ู‚ุงู„ุฉ ููŠ ุญุงู„ุฉ ุนุงู…ู„ุฉ ุฅุฐุง ุงู„ู…ูƒุงู† ุชุจุนู‡ N ุจู„ุณ
1380
+
1381
+ 346
1382
+ 00:30:06,570 --> 00:30:09,450
1383
+ 1 2 ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ู…ุฎุชุงุฑ ู…ุฑุชุจุท ุญูƒูŠู†ุง ุฅูŠุด ุงู„ position
1384
+
1385
+ 347
1386
+ 00:30:11,720 --> 00:30:16,720
1387
+ ุชุจุนู‡ ุงู„ู€ equation ุนุจุงุฑุฉ ุนู† n plus one over two ู‡ุฐุง
1388
+
1389
+ 348
1390
+ 00:30:16,720 --> 00:30:21,460
1391
+ ู„ูˆ ูƒุงู†ุช n is odd ุฅุฐุง ูƒุงู† even ุจู†ุงุฎุฏ ุงู„ู€ middle ุงู„
1392
+
1393
+ 349
1394
+ 00:30:21,460 --> 00:30:25,000
1395
+ average ู„ two middle points ุทุจุนุง ุงู„ two middle
1396
+
1397
+ 350
1398
+ 00:30:25,000 --> 00:30:37,620
1399
+ points ุงู„ู„ูŠ ุทู„ุน ุนู„ูŠู‡ู… ู‡ู†ุง suppose
1400
+
1401
+ 351
1402
+ 00:30:37,620 --> 00:30:42,820
1403
+ we have this dataุงู„ุงู† even ุงูˆ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1404
+
1405
+ 352
1406
+ 00:30:42,820 --> 00:30:44,880
1407
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1408
+
1409
+ 353
1410
+ 00:30:44,880 --> 00:30:45,380
1411
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1412
+
1413
+ 354
1414
+ 00:30:45,380 --> 00:30:51,420
1415
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1416
+
1417
+ 355
1418
+ 00:30:51,420 --> 00:30:53,600
1419
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1420
+
1421
+ 356
1422
+ 00:30:53,600 --> 00:30:53,700
1423
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1424
+
1425
+ 357
1426
+ 00:30:53,700 --> 00:30:53,740
1427
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1428
+
1429
+ 358
1430
+ 00:30:53,740 --> 00:30:54,860
1431
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1432
+
1433
+ 359
1434
+ 00:30:54,860 --> 00:30:56,060
1435
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1436
+
1437
+ 360
1438
+ 00:30:56,060 --> 00:30:59,120
1439
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1440
+
1441
+ 361
1442
+ 00:30:59,120 --> 00:31:05,200
1443
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1444
+
1445
+ 362
1446
+ 00:31:05,200 --> 00:31:08,360
1447
+ ุบูŠุฑ ุบ
1448
+
1449
+ 363
1450
+ 00:31:11,670 --> 00:31:20,710
1451
+ ู‚ูŠู…ุฉ ุงู„ู€ x3 ุนุจุงุฑุฉ ุนู† 9 ูˆุงู„ุชุงู†ูŠุฉ ุนุจุงุฑุฉ ุนู† 2 9 plus
1452
+
1453
+ 364
1454
+ 00:31:20,710 --> 00:31:28,530
1455
+ 12 ุนุจุงุฑุฉ ุนู† 2 21 ูŠุนู†ูŠ 10.5 ุฒูŠ ุงู„ medium 10.5 ุทูŠุจ x
1456
+
1457
+ 365
1458
+ 00:31:28,530 --> 00:31:33,170
1459
+ ุชู„ุงุชุฉ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ู…ูˆุฌุฉ ุงู„ุชุงู„ุช x4 ู…ูˆุฌุฉ ุงู„ุฑุงุจุน ูƒูŠู
1460
+
1461
+ 366
1462
+ 00:31:33,170 --> 00:31:41,950
1463
+ ุทู„ุนู†ุง ุงู„ุชู„ุงุชุฉ ุงู„ุงู† 6 ู…ุธุจูˆุท ูุงู† ุน 2ุจุชู‚ุนุฏ ุงูƒุณ ุณุชุฉ ุน
1464
+
1465
+ 367
1466
+ 00:31:41,950 --> 00:31:45,410
1467
+ ุงุชู†ูŠู† ุงู„ุชู„ุงุชุฉ ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ ู‡ูˆ ุงูƒุณ
1468
+
1469
+ 368
1470
+ 00:31:45,410 --> 00:31:49,290
1471
+ ุงุฑุจุนุฉ ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุงู† ุน ุงุชู†ูŠู† ูˆ ุฒุงุฆุฏ
1472
+
1473
+ 369
1474
+ 00:31:49,290 --> 00:31:54,150
1475
+ ูˆุงุญุฏ ูู„ู…ุง ุจูƒูˆู† ุนู†ุฏู‰ even number ุงู„ position ุจูƒูˆู†
1476
+
1477
+ 370
1478
+ 00:31:54,150 --> 00:31:58,690
1479
+ ุงู† ุน ุงุชู†ูŠู† ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู† ุน ุงุชู†ูŠู† in the next
1480
+
1481
+ 371
1482
+ 00:31:58,690 --> 00:32:06,110
1483
+ number ูŠุนู†ูŠ ู„ูˆ ู…ุซู„ุฉ ุฒูŠ ู‡ูŠูƒ ู…ู† ูˆุงุญุฏ ู„ุบุงูŠุฉ ู…ูŠุฉ ูŠุนู†ูŠ
1484
+
1485
+ 372
1486
+ 00:32:06,110 --> 00:32:09,610
1487
+ ุงู† ุจุงู„ุณุจุน ุนุดุฑ ู…ุด ู‡ูŠูƒุงู„ู€ median ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„
1488
+
1489
+ 373
1490
+ 00:32:09,610 --> 00:32:16,510
1491
+ position ุชุจุนู‡ู… N ุน 2 ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ู…ูŠู† N ุน 2ุŸ ู‡ุงูŠ N
1492
+
1493
+ 374
1494
+ 00:32:16,510 --> 00:32:23,350
1495
+ ุน 2 ุนุดุฑุฉ ุน ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ุณุงุฏุณุฉ ุฎู…ุณุฉ ูˆ
1496
+
1497
+ 375
1498
+ 00:32:23,350 --> 00:32:32,080
1499
+ ุงู„ุณุงุฏุณุฉ ุฎู„ุงุตุŸ ุฅุฐุง the mean is the averageุงู„ู…ุนู†ู‰ ู‡ูŠ
1500
+
1501
+ 376
1502
+ 00:32:32,080 --> 00:32:36,220
1503
+ ุนุฏุฏ ุงู„ู…ู‚ุงูˆู…ุงุช ุงู„ู…ู‚ุงูˆู…ุฉ ุจุงู„ู€ N ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ
1504
+
1505
+ 377
1506
+ 00:32:36,220 --> 00:32:38,980
1507
+ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุจุนุฏ ุฃู†ู†ุง ู‚ู…ู†ุง ุจุชุฌู‡ูŠุฒ ุงู„ุจูŠุงู†ุงุช ู…ู† ุฃูƒุชุฑ
1508
+
1509
+ 378
1510
+ 00:32:38,980 --> 00:32:44,920
1511
+ ุฅู„ู‰ ุฃูƒุชุฑ ุฃูˆ ุฃูƒุชุฑ ุฅู„ู‰ ุฃูƒุชุฑ ุฅุฐุง ูƒุงู†ุช N ุบูŠุฑ ู…ุญุฏูˆุฏุฉุŒ
1512
+
1513
+ 379
1514
+ 00:32:44,920 --> 00:32:48,980
1515
+ ูู…ู‚ุงูˆู…ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ูŠ N plus one over two ุฅู„ุง ุฅุฐุง
1516
+
1517
+ 380
1518
+ 00:32:48,980 --> 00:32:52,080
1519
+ ูƒุงู†ุช N ู…ุฑุชุจุทุฉุŒ ูู…ู‚ุงูˆู…ุฉ ุงู„ู€ N ู‡ูŠ ุนุฏุฏ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠู†
1520
+
1521
+ 381
1522
+ 00:32:52,080 --> 00:32:54,420
1523
+ ุงู„ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠู† ุงู„ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุฉ
1524
+
1525
+ 382
1526
+ 00:32:54,420 --> 00:33:03,830
1527
+ ุงู„ู…ู‚ุงูˆู…ุฉ ููŠ ุงู„ู…ูˆู‚ุนxn2 ูˆุงู„ุชุงู„ูŠ xn2 plus 1 ู…ุซู„ู‹ุง ู…ุฑุฉ
1528
+
1529
+ 383
1530
+ 00:33:03,830 --> 00:33:10,390
1531
+ ุฃุฎุฑู‰ุŒ ูุฅู† ุงู„ู€ n ู‡ูˆ 20ุŒ ูู…ุงุฐุง
1532
+
1533
+ 384
1534
+ 00:33:10,390 --> 00:33:15,070
1535
+ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ุชูˆุณุทุฉุŸ
1536
+
1537
+ 385
1538
+ 00:33:15,070 --> 00:33:22,730
1539
+ ุงู„ู€ n 20 ูŠุนู†ูŠ ุฃู† ู‡ู†ุงูƒ ู…ู‚ุงูˆู…ุฉ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ n
1540
+
1541
+ 386
1542
+ 00:33:22,730 --> 00:33:27,650
1543
+ ุนู„ู‰ 2 ูˆ ุงู„ู„ูŠ ุจุนุฏู‡N ุน 2 ูŠุนู†ูŠ ุนุดุฑุฉ ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ 11
1544
+
1545
+ 387
1546
+ 00:33:27,650 --> 00:33:31,990
1547
+ ุฅุฐุง ุงู„ positions ู„ู„ median ุนุดุฑุฉ ูˆ 11 ุจูŠุงุฎุฏ ุงู„
1548
+
1549
+ 388
1550
+ 00:33:31,990 --> 00:33:35,650
1551
+ average ุชุจุน ุงู„ values ูˆ ุจุฌุณู… ุน 2 ูˆ ูˆู‚ุช ุฌุณู… ุน 10 ูˆ
1552
+
1553
+ 389
1554
+ 00:33:35,650 --> 00:33:42,010
1555
+ 11 ุน 2 ู‡ุฏูˆู„ ุงู„ู…ูƒุงู† ุงู„ location ุฎู„ุงุต ุทุจ ู„ูˆ ูƒุงู† N
1556
+
1557
+ 390
1558
+ 00:33:42,010 --> 00:33:52,650
1559
+ ุจุชุณุงูˆูŠ 21 N odd ุงู„ู…ูƒุงู† ุงู„ู„ูŠ N ุฒูŠ 1 ุน 2 ุงู„ู…ูƒุงู† ุฑู‚ู…
1560
+
1561
+ 391
1562
+ 00:33:52,650 --> 00:33:59,680
1563
+ 11 ู‡ุฐุง ุฎู„ูŠ ุจุงู„ูƒis the position of the media ุงูŠู‡ ุฏู‡
1564
+
1565
+ 392
1566
+ 00:33:59,680 --> 00:34:08,760
1567
+ position ุงูŠู‡ ุฏู‡ ู‡ูŠูƒ position ุงู„ู…ูƒุงู† ุงู„ุตุจุงุต
1568
+
1569
+ 393
1570
+ 00:34:08,760 --> 00:34:12,020
1571
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1572
+
1573
+ 394
1574
+ 00:34:12,020 --> 00:34:14,060
1575
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1576
+
1577
+ 395
1578
+ 00:34:14,060 --> 00:34:20,940
1579
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1580
+
1581
+ 396
1582
+ 00:34:20,940 --> 00:34:23,860
1583
+ ุจูŠุจ
1584
+
1585
+ 397
1586
+ 00:34:26,580 --> 00:34:32,760
1587
+ ุฎู…ุณ ุฒูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุชุฑุชูŠู† ุงู„ูƒู„ุงู… ุฏู‡ ู…ุด ุตุญ ู„ูŠุด
1588
+
1589
+ 398
1590
+ 00:34:32,760 --> 00:34:38,560
1591
+ ู„ุงุฒู… ู†ุฑุชุจู‡ู… ุงู„ุฃูˆู„ ุงุญู†ุง ุญูƒูŠู†ุง ู‡ุงูŠ ุงู„ุชุนุฑูŠู ุฏู‡
1592
+
1593
+ 399
1594
+ 00:34:38,560 --> 00:34:44,260
1595
+ ุงู„ุชุนุฑูŠู ุงู„ median in
1596
+
1597
+ 400
1598
+ 00:34:44,260 --> 00:34:49,080
1599
+ an ordered array ููŠ ุงู„ู…ุตูˆูุฉ ุงู„ู…ุฑุชุจุฉ the median is
1600
+
1601
+ 401
1602
+ 00:34:49,080 --> 00:34:52,360
1603
+ the middle number ุฅุฐุง ุจู‚ู‰ ุฃู†ุง ูƒุฏู‡ ู„ุงุฒู…ุด ุฃุนู…ู„ ููŠ
1604
+
1605
+ 402
1606
+ 00:34:52,360 --> 00:34:55,680
1607
+ ุงู„ุฃูˆู„ ุฃุฑุชุจู‡ู… ููŠ ุงู„ุฃูˆู„ ู‡ูŠ thirteen ุงู„ุฃูˆู„
1608
+
1609
+ 403
1610
+ 00:35:03,200 --> 00:35:07,920
1611
+ ุงู„ู…ูƒุงู† ุงู„ุชุงู„ุช 16 ู…ุด 13 ูŠู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ we have to
1612
+
1613
+ 404
1614
+ 00:35:07,920 --> 00:35:11,100
1615
+ arrange the data from smallest to largest ุงูˆ
1616
+
1617
+ 405
1618
+ 00:35:11,100 --> 00:35:15,680
1619
+ largest to smallest ู„ุญุธุฉ ู„ูˆ ุฑุชุจุชู… ุจุงู„ุนูƒุณ ุนุดุฑูŠู†
1620
+
1621
+ 406
1622
+ 00:35:15,680 --> 00:35:20,260
1623
+ ุชุณุนุฉ ุนุดุฑ ุณุชุฉ ุนุดุฑ ุจุฑุถู‡ the median and the value in
1624
+
1625
+ 407
1626
+ 00:35:20,260 --> 00:35:25,480
1627
+ the middle we have the same value any question
1628
+
1629
+ 408
1630
+ 00:35:28,460 --> 00:35:34,720
1631
+ ุงู„ู†ู‡ุงุฑ ูŠุชูƒู„ู… ุนู† ุซุงู„ุซ ู…ูŠุฌุงุฑ ู„ู„ุชู†ุฏู†ุณูŠุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุญุชู‰
1632
+
1633
+ 409
1634
+ 00:35:34,720 --> 00:35:39,000
1635
+ ุงู„ุขู† ุชูƒู„ู…ู†ุง ุนู† ุงุชู†ูŠู† ู…ูŠุฌุงุฑูŠู† ู…ูŠู† ูˆู…ูŠุฏูŠุงู† ุซุงู„ุซ
1636
+
1637
+ 410
1638
+ 00:35:39,000 --> 00:35:44,880
1639
+ ู…ูŠุฌุงุฑ ูŠุณู…ู‰ ุงู„ mood ุงู„ mood ูŠุนู†ูŠ ู…ู† ุฃูŠู†ุŸ ู‡ูˆ ููŠ ู†ู…ุท
1640
+
1641
+ 411
1642
+ 00:35:44,880 --> 00:35:50,480
1643
+ ู„ูƒู† ููŠ ู„ุญุธุฉ ู…ุนู†ุงู‡ ู…ู† ุฃูŠู†ุŸ
1644
+
1645
+ 412
1646
+ 00:35:50,480 --> 00:35:54,940
1647
+ ุฅุฐุง
1648
+
1649
+ 413
1650
+ 00:35:54,940 --> 00:35:55,960
1651
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ mean
1652
+
1653
+ 414
1654
+ 00:35:59,170 --> 00:36:05,950
1655
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ median number three mode ุงู„ู…ู†ูˆุงู„
1656
+
1657
+ 415
1658
+ 00:36:05,950 --> 00:36:16,090
1659
+ ุงู„ู…ู†ูˆุงู„ ุชุนุฑูŠูู‡ value that you care most often ูŠุนู†ูŠ
1660
+
1661
+ 416
1662
+ 00:36:16,090 --> 00:36:19,730
1663
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุจุชุชูƒุฑุฑ ุฃูƒุชุฑ ุดูŠุก ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุชุฑ ุชูƒุฑุงุฑ
1664
+
1665
+ 417
1666
+ 00:36:19,730 --> 00:36:27,210
1667
+ not affected by extreme valuesุจุชุฃุซุฑุด ุฒูŠ ุงู„ mean ูˆ
1668
+
1669
+ 418
1670
+ 00:36:27,210 --> 00:36:30,470
1671
+ ุงู„ median ุงู„ mean ุจุชุฃุซุฑ ุงู„ median ุจุชุฃุซุฑ ุจุณ ุฃู‚ู„
1672
+
1673
+ 419
1674
+ 00:36:30,470 --> 00:36:34,130
1675
+ ุงู„ุชุฃุซูŠุฑ ู…ู† ุงู„ median ุจุณ ู‡ุฐุง not affected by
1676
+
1677
+ 420
1678
+ 00:36:34,130 --> 00:36:39,370
1679
+ extreme values ุจุชุฃุซุฑุด ุงู„ mean ูˆ ุงู„ median are used
1680
+
1681
+ 421
1682
+ 00:36:39,370 --> 00:36:43,190
1683
+ only for numerical data ู„ู„ุจูŠุงู†ุงุช ุงู„ุฑู‚ู…ูŠุฉ ุฒูŠ ุงู„ age
1684
+
1685
+ 422
1686
+ 00:36:43,190 --> 00:36:50,410
1687
+ ุงู„ weight ุงู„ score ูˆ ู‡ูƒุฐุง ุงู„ mode is used for
1688
+
1689
+ 423
1690
+ 00:36:50,410 --> 00:36:54,140
1691
+ either numerical or categorical dataูŠุง ุจู†ูุน
1692
+
1693
+ 424
1694
+ 00:36:54,140 --> 00:36:57,660
1695
+ ุงุณุชุฎุฏู…ู‡ ู„ู„ุฑู‚ู… ูˆุงู„ูˆุตู ุฒูŠ ุงู„ู€ gender ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡
1696
+
1697
+ 425
1698
+ 00:36:57,660 --> 00:37:02,520
1699
+ ููŠ ุงู„ุฃูˆู„ ุฅุฐุง ุงู„ู…ูŠุฒุฉ ุงู„ุฌูŠุฏุฉ ู„ู„ู…ูˆุฏ ุงู†ู‡ ูŠุณุชุฎุฏู… .. not
1700
+
1701
+ 426
1702
+ 00:37:02,520 --> 00:37:06,160
1703
+ affected by outliers or extreme values and can be
1704
+
1705
+ 427
1706
+ 00:37:06,160 --> 00:37:12,120
1707
+ used for both numerical and categorical data there
1708
+
1709
+ 428
1710
+ 00:37:12,120 --> 00:37:16,440
1711
+ are maybe sometimes there may be no .. no mood
1712
+
1713
+ 429
1714
+ 00:37:16,440 --> 00:37:20,260
1715
+ ู…ู…ูƒู† ู…ุงููŠุด mood ู…ุด ุฏู‡ ู…ุด ุถุฑูˆุฑูŠ ูŠูƒูˆู† ููŠู‡ mood ุงูˆ
1716
+
1717
+ 430
1718
+ 00:37:20,260 --> 00:37:25,290
1719
+ ูˆูŠู† ูˆุฌุฏ it could be uniqueูŠุนู†ูŠ ูˆุงุญุฏ ุฃูˆ ููŠ ุจุนุถ
1720
+
1721
+ 431
1722
+ 00:37:25,290 --> 00:37:31,050
1723
+ ุงู„ุฃุญูŠุงู† ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูƒ ุฃูƒุชุฑ ู…ู† ู…ูˆุถูˆุน ุงุฐุง ุงู„ู…ูˆุถูˆุน
1724
+
1725
+ 432
1726
+ 00:37:31,050 --> 00:37:39,110
1727
+ ุฃูƒุชุฑ ู…ุณุชู…ุฑ ุฃูˆ ุฃูƒุชุฑ ุญุฏูˆุซ ู‚ูŠู…ุฉ ุงู„ุฃูƒุชุฑ ุธู‡ูˆุฑุง ุฃูˆ ุฃูƒุชุฑ
1728
+
1729
+ 433
1730
+ 00:37:39,110 --> 00:37:43,310
1731
+ ุชูƒุฑุงุฑุง ุฃูˆ ุฃูƒุชุฑ ุญุฏูˆุซุง ู„ูˆ ุทู„ุนุช ุน ุงู„ data ุงู„ู„ูŠ ู‡ู†ุง
1732
+
1733
+ 434
1734
+ 00:37:43,310 --> 00:37:47,450
1735
+ ู†ุญู†
1736
+
1737
+ 435
1738
+ 00:37:47,450 --> 00:37:53,140
1739
+ ู„ุง ู„ุฏูŠู†ุง ู†ู‚ุทุฉ ูˆุงุญุฏุฉ ุฃูƒุชุฑ ู…ุฑุฉ3 ู…ุฑุฉุŒ 5 ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 8
1740
+
1741
+ 436
1742
+ 00:37:53,140 --> 00:37:57,440
1743
+ ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 10 ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 12 ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 13 ู…ุฑุฉ
1744
+
1745
+ 437
1746
+ 00:37:57,440 --> 00:38:02,280
1747
+ ู…ุฑุชูŠู† ูˆ14 ู…ุฑุฉ ู…ุฑุชูŠู† ุงู„ุฃู† ู…ุงู‡ูŠ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ู…ุนู„ูˆู…ุฉ
1748
+
1749
+ 438
1750
+ 00:38:02,280 --> 00:38:04,320
1751
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1752
+
1753
+ 439
1754
+ 00:38:04,320 --> 00:38:07,320
1755
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1756
+
1757
+ 440
1758
+ 00:38:07,320 --> 00:38:07,460
1759
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1760
+
1761
+ 441
1762
+ 00:38:07,460 --> 00:38:08,520
1763
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1764
+
1765
+ 442
1766
+ 00:38:08,520 --> 00:38:18,560
1767
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…
1768
+
1769
+ 443
1770
+ 00:38:20,330 --> 00:38:30,930
1771
+ ู…ุซู„ ู‡ุฐุง ุงู„ู…ุซุงู„ ู‡ู†ุง ู†ุญู† ู„ุฏูŠู†ุง 1 3 4 2 5 3 9 10 12
1772
+
1773
+ 444
1774
+ 00:38:30,930 --> 00:38:39,470
1775
+ 12 13 ูˆ 14 9 ู…ู…ูƒู† 3 ู…ุฑุงุช ูุงู„ุญุจ 9 ูููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1776
+
1777
+ 445
1778
+ 00:38:39,470 --> 00:38:48,350
1779
+ ูู‡ู†ุงูƒ ูู‚ุท ุญุจ ูˆุงุญุฏ ูุงู„ุญุจ 9 ู„ู„ู…ุซุงู„
1780
+
1781
+ 446
1782
+ 00:38:48,350 --> 00:38:57,790
1783
+ ุงู„ุขุฎุฑู†ุญู† ู„ุฏูŠู†ุง 0ุŒ 1ุŒ 2ุŒ 3ุŒ 5 ูˆ6 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูƒู„
1784
+
1785
+ 447
1786
+ 00:38:57,790 --> 00:39:03,330
1787
+ ู‚ูŠู…ุฉ ุชุญุฏุซ ู…ุฑุฉ ูˆุงุญุฏุฉ ู‡ุฐุง ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู„ูŠุณ
1788
+
1789
+ 448
1790
+ 00:39:03,330 --> 00:39:12,370
1791
+ ู‡ู†ุงูƒ ู…ูˆุถูˆุน ุทุจ ู„ูˆ ุฒูˆุฏุช ูˆุงุญุฏุฉ ู‡ู†ุง
1792
+
1793
+ 449
1794
+ 00:39:12,370 --> 00:39:15,550
1795
+ ู…ุน
1796
+
1797
+ 450
1798
+ 00:39:15,550 --> 00:39:21,620
1799
+ ูƒุฏู‡ two modes ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎู…ุณุฉ ูˆุงู„ุชุณุนุฉfive ูˆ nine ุทุจ
1800
+
1801
+ 451
1802
+ 00:39:21,620 --> 00:39:27,060
1803
+ ู„ูˆ ุฌูŠุช ู‡ู†ุง ุฒูˆุฏุช ูˆุงุญุฏุฉ ู„ู„ุณุชุฉ ุจุตูŠุฑ ุงู„ุณุชุฉ ู‡ูŠ ุงู„ mode
1804
+
1805
+ 452
1806
+ 00:39:27,060 --> 00:39:33,740
1807
+ ู…ุตุจูˆุฑุŸ ู„ุฃู† ุงู„ุณุชุฉ ู‡ูŠ ุงู„ุฃูƒุชุฑ ุชูƒุฑุงุฑ ู…ุฑุชูŠู† ุทุจ ู„ูˆ ูƒุฑุฑุช
1808
+
1809
+ 453
1810
+ 00:39:33,740 --> 00:39:40,800
1811
+ ู‡ูŠูƒ ุตุงุฑ ุงู„ุฃุชู†ูŠู† ูˆุงู„ุชู„ุงุชุฉ ูˆุงู„ุณุชุฉ ู‡ู…ุง ุงู„ modes ุฅุฐุง
1812
+
1813
+ 454
1814
+ 00:39:40,800 --> 00:39:45,280
1815
+ ู…ู…ูƒู† ูŠูƒูˆู† there is only one mode or sometimes the
1816
+
1817
+ 455
1818
+ 00:39:45,280 --> 00:39:48,340
1819
+ mode does not exist ุฃูˆ there are
1820
+
1821
+ 456
1822
+ 00:39:51,720 --> 00:39:57,480
1823
+ ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุงูˆ ุบูŠุฑ ู…ูˆุฌูˆุฏ ู…ู…ูƒู†
1824
+
1825
+ 457
1826
+ 00:39:57,480 --> 00:40:02,000
1827
+ ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุงูˆ ุบูŠุฑ ู…ูˆุฌูˆุฏ ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุงูˆ ุบูŠุฑ
1828
+
1829
+ 458
1830
+ 00:40:02,000 --> 00:40:06,440
1831
+ ู…ูˆุฌูˆุฏ ุฏุนูˆู†ุง
1832
+
1833
+ 459
1834
+ 00:40:06,440 --> 00:40:08,860
1835
+ ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง
1836
+
1837
+ 460
1838
+ 00:40:08,860 --> 00:40:09,360
1839
+ ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ
1840
+
1841
+ 461
1842
+ 00:40:09,360 --> 00:40:09,640
1843
+ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„
1844
+
1845
+ 462
1846
+ 00:40:09,640 --> 00:40:12,700
1847
+ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰
1848
+
1849
+ 463
1850
+ 00:40:12,700 --> 00:40:12,760
1851
+ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ
1852
+
1853
+ 464
1854
+ 00:40:12,760 --> 00:40:13,400
1855
+ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„
1856
+
1857
+ 465
1858
+ 00:40:13,400 --> 00:40:15,800
1859
+ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰
1860
+
1861
+ 466
1862
+ 00:40:15,800 --> 00:40:19,640
1863
+ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุน
1864
+
1865
+ 467
1866
+ 00:40:19,720 --> 00:40:25,640
1867
+ 100 ูˆ100 ูˆุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1868
+
1869
+ 468
1870
+ 00:40:25,640 --> 00:40:29,020
1871
+ ุงู„ุงู†ุชุฌุงุฑ
1872
+
1873
+ 469
1874
+ 00:40:29,020 --> 00:40:35,600
1875
+ ู‡ูˆ ุงุถุงูุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู… ุซู… ู†ู‚ู„ ู…ู† ุนุฏุฏ ุงู„ู…ู†ุฒู„ ุงู„ุงู†ุชุฌุงุฑ
1876
+
1877
+ 470
1878
+ 00:40:35,600 --> 00:40:44,320
1879
+ ุชุจุนู‡ู… ุนู„ู‰ ุฃุฏุฏู‡ู… ูˆุงุถุญ ู…ุฌู…ูˆุญู‡ู… 3 ู…ู„ูŠูˆู† ู†ู‚ู„ ู…ู† 5 ูŠุนู†ูŠ
1880
+
1881
+ 471
1882
+ 00:40:44,320 --> 00:40:51,320
1883
+ 600000 ุฅุฐุง ุงู„ุงู†ุชุฌุงุฑ ุชุจุนู‡ู… 600000ุงู„ู…ูŠุฏูŠุงู† ูŠุฌุจ ุฃู†
1884
+
1885
+ 472
1886
+ 00:40:51,320 --> 00:40:53,820
1887
+ ู†ุฎู„ู‚ู‡ ู…ู† ุฃูƒุจุฑ ุฅู„ู‰ ุฃูƒุจุฑ ุฃูˆ ุฃูƒุจุฑ ุฅู„ู‰ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
1888
+
1889
+ 473
1890
+ 00:40:53,820 --> 00:40:56,540
1891
+ ุฅู„ู‰ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
1892
+
1893
+ 474
1894
+ 00:40:56,540 --> 00:40:57,880
1895
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1896
+
1897
+ 475
1898
+ 00:40:57,880 --> 00:40:59,820
1899
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1900
+
1901
+ 476
1902
+ 00:40:59,820 --> 00:41:03,880
1903
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1904
+
1905
+ 477
1906
+ 00:41:03,880 --> 00:41:06,180
1907
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1908
+
1909
+ 478
1910
+ 00:41:06,180 --> 00:41:06,500
1911
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1912
+
1913
+ 479
1914
+ 00:41:06,500 --> 00:41:16,000
1915
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒ
1916
+
1917
+ 480
1918
+ 00:41:17,180 --> 00:41:20,660
1919
+ ุงู„ู€ mean ู„ุฃู†ู‡ ุฃุฎุฐ ูƒู„ ุงู„ู€ values ูุชุฃุซุฑ ุจุงู„ู€ mean
1920
+
1921
+ 481
1922
+ 00:41:20,660 --> 00:41:24,700
1923
+ ุจุงู„ู€ extreme ุจุงู„ู€ 200 ุฃู„ู ูˆ ุจุงู„ู€ 2 ู…ู„ูŠูˆู† ูˆ ุชุฃุซุฑ
1924
+
1925
+ 482
1926
+ 00:41:24,700 --> 00:41:27,980
1927
+ ุจุงู„ู€ 100 ุฃู„ู ุงู„ู„ูŠ ุชุญุช ู„ุฃู†ู‡ ุชุนุชุจุฑ 100 ุจุนูŠุฏุฉ ุนู† ุงู„ู€
1928
+
1929
+ 483
1930
+ 00:41:27,980 --> 00:41:30,400
1931
+ 2 ู…ู„ูŠูˆู† ูˆ ุงู„ู€ 2 ู…ู„ูŠูˆู† ุจุนูŠุฏุฉ ุนู† ุงู„ูƒู„ ุจุงู„ุชุงู„ูŠ ู‡ูˆ
1932
+
1933
+ 484
1934
+ 00:41:30,400 --> 00:41:35,620
1935
+ ุชุฃุซุฑ ุจุงู„ู€ 2 ู…ู„ูŠูˆู† ุฃูƒุชุฑ ูุงู„ู€ median ุทู„ุน 300 ุฃู„ู ุทุจ
1936
+
1937
+ 485
1938
+ 00:41:35,620 --> 00:41:39,160
1939
+ ุงู„ู…ูˆุถ is the most frequent value ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุซุฑ
1940
+
1941
+ 486
1942
+ 00:41:39,160 --> 00:41:43,880
1943
+ ุชูƒุฑุงุฑ ุฃูƒุชุฑ ูˆุงุญุฏุฉ ูƒุฑุฑุฉ 100 ุฃู„ู ู„ุญุธุฉ ุฃู† ุงู„ุขู† three
1944
+
1945
+ 487
1946
+ 00:41:43,880 --> 00:41:47,760
1947
+ different measures for center tendencymain,
1948
+
1949
+ 488
1950
+ 00:41:48,060 --> 00:41:54,300
1951
+ median, mode ุงู„ุงู† ุงู„ุณุคุงู„ ู‡ูˆ ุงูŠู‡ ุงู„ู…ู‚ูŠุงุณ ุงู„ู„ูŠ ู„ุงุฒู…
1952
+
1953
+ 489
1954
+ 00:41:54,300 --> 00:41:59,320
1955
+ ุงุณุชุฎุฏู…ู‡ ู‡ู„ ู‡ูˆ ุงู„ main ูˆ ู„ุง ุงู„ median ูˆ ู„ุง ุงู„ mode
1956
+
1957
+ 490
1958
+ 00:41:59,320 --> 00:42:03,800
1959
+ ุงู† ุดุงุก ุงู„ู„ู‡ for next time ุงุฐุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ู‡ุชูƒู„ู…
1960
+
1961
+ 491
1962
+ 00:42:03,800 --> 00:42:10,660
1963
+ ุนู„ู‰ ู…ูŠู† ุงูุถู„ ู…ู‚ูŠุงุณ ููŠ ู‡ุฏูˆู„ ูˆ ุจุนุฏูŠู† ุจู†ูƒู…ู„ ุฎู„ุงุต
1964
+
1965
+ 492
1966
+ 00:42:10,660 --> 00:42:15,920
1967
+ ุนู†ุฏู†ุง two slides ุจุณ ู…ูˆุฌูˆุฏุงุช ูˆ ุจุนุฏูŠู† ู†ุจุฏุฃ ููŠ ุงู„
1968
+
1969
+ 493
1970
+ 00:42:15,920 --> 00:42:16,900
1971
+ measures of variation
1972
+
1973
+ 494
1974
+ 00:42:20,030 --> 00:42:22,550
1975
+ Any questionุŸ ุงู„ู„ู‡ ุฃูƒุจุฑ
1976
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/4khBoGnElZQ_raw.srt ADDED
@@ -0,0 +1,1996 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:22,910
3
+ ุจุงุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:22,910 --> 00:00:26,410
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ูŠ ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ูŠ ุฃู‡ู„ูŠ ูˆุตุญุจูŠ
8
+
9
+ 3
10
+ 00:00:26,410 --> 00:00:29,810
11
+ ูˆุณู„ู… ุฃุฌู…ุนูŠู† ููŠ ุงู„ุจุฏุงูŠุฉ ุจู†ุฑุญุจ ุฌู…ูŠุน ุงู„ุฅุฎูˆุฉ ุงู„ุฃุฎูˆุงุช
12
+
13
+ 4
14
+ 00:00:29,810 --> 00:00:33,670
15
+ ูˆุงู„ุทุงู„ุจุงุช ููŠ ู…ุตุงู‚ business statistics ููŠ ุงู„ูุตู„
16
+
17
+ 5
18
+ 00:00:33,670 --> 00:00:37,110
19
+ ุงู„ุฏุฑุงุณูŠ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงู† ุดุงุก ุงู„ู„ู‡ ุงุชุนู„ุญ ููŠู‡ ู‡ู†ุณุชุฎุฏู…
20
+
21
+ 6
22
+ 00:00:37,110 --> 00:00:40,790
23
+ .. ู‡ุงูŠ ุงู„ูƒุชุงุจ business statistics ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ูƒุชุจุฉ
24
+
25
+ 7
26
+ 00:00:40,790 --> 00:00:44,930
27
+ ุงู„ุขู† ู‡ูŠ ู…ูƒุชุจุฉ ุงู‚ุฑุฃ ุงู„ .. ุฒูŠ ู…ุง ุญูƒูŠุชู‡ ุงู„ู…ุฑุฉ ูุงุชุฑุฉ
28
+
29
+ 8
30
+ 00:00:44,930 --> 00:00:48,640
31
+ ุงู„ูƒุชุงุจ ููŠู‡ ุงู„ bar point ุจุงู„ูƒุงู…ู„ู„ู„ seven chapters
32
+
33
+ 9
34
+ 00:00:48,640 --> 00:00:55,200
35
+ ู‡ู… ุชู„ุงุชุฉ ูˆ ุณุชุฉ ูˆ ุณุจุนุฉ ูˆ ุชุณุนุฉ ูˆ ุนุดุฑ ุงูˆ ูˆุงุญุฏ ุนุงุด ูˆ
36
+
37
+ 10
38
+ 00:00:55,200 --> 00:00:58,880
39
+ ุงุชู†ุงุด ู‡ุฏูˆู„ ุงู„ seven chapters ู‡ู†ุงุฎุฏู‡ู… ุฒุงุฆุฏ ุญุทูŠุช ุงู„
40
+
41
+ 11
42
+ 00:00:58,880 --> 00:01:03,460
43
+ practice ู„ูƒู„ chapter ู…ูˆุฌูˆุฏ ุฒุงุฆุฏ ุงู„ previous exams
44
+
45
+ 12
46
+ 00:01:03,460 --> 00:01:09,200
47
+ ุญุทูŠุช ุงุฑุจุน ุงู…ุชุญุงู†ุงุช ู„ู†ูุณ ุงู„ course ู„ู†ูุณ ุงู„ูƒุชุงุจ ุทุจุนุง
48
+
49
+ 13
50
+ 00:01:09,200 --> 00:01:12,820
51
+ ููŠ ุงู…ุชุญุงู†ุงุช ุชุงู†ูŠุฉ ู‡ุญุทู‡ุง ุนู„ู‰ ุงู„ุตูุญุฉ ุงู† ุดุงุก ุงู„ู„ู‡ุจุฑุถู‡
52
+
53
+ 14
54
+ 00:01:12,820 --> 00:01:16,420
55
+ ู‡ุญุทู„ูƒ PDF ูˆ ุงู„ PowerPoint ูƒุงู…ู„ุฉ ู‡ุญุทู„ูƒ ููŠู‡ุง
56
+
57
+ 15
58
+ 00:01:16,420 --> 00:01:20,700
59
+ PowerPoint file ุฒูŠ ุงู„ PDF ู„ูˆ ุญุจูŠุช ุชู‚ุฑุฃ ู…ู†ู‡ุง ุนู„ู‰
60
+
61
+ 16
62
+ 00:01:20,700 --> 00:01:24,200
63
+ ุงู„ุฌูˆุงู„ ุนู„ู‰ ุงู„ laptop ููŠ ุฃูŠ ู…ูƒุงู† ูŠูƒูˆู† ุนู†ุฏูƒ ุดุบู„ุชูŠู†
64
+
65
+ 17
66
+ 00:01:24,200 --> 00:01:28,240
67
+ hard copy ุฒูŠ ู‡ูŠูƒ ูƒูˆูŠุณ ูˆ ุงู„ soft copy ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ
68
+
69
+ 18
70
+ 00:01:28,240 --> 00:01:32,060
71
+ ู…ุนุงูƒ ุทุจุนุง ุงู„ soft copy ุฃู†ุง ุนุงูŠุฒู‡ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ู‡ู†ุง
72
+
73
+ 19
74
+ 00:01:32,060 --> 00:01:36,400
75
+ ุจุญูŠุซ ุฃู†ู‡ ูˆ ุฃู†ุง ุจุดุฑุญ ุญูŠู† ุชูƒุชุจ ุดูˆูŠุฉ ู…ู„ุงุญุธุงุช ูŠุนู†ูŠ
76
+
77
+ 20
78
+ 00:01:36,400 --> 00:01:39,960
79
+ ุจุชุนู…ู„ notes ุฅู„ูŠูƒ ุฒูŠุงุฏุฉ ู„ุฃู†ู‡ ุบุงู„ุจุง ุงู„ notes ุงู„ู„ูŠ ููŠ
80
+
81
+ 21
82
+ 00:01:39,960 --> 00:01:45,200
83
+ ุงู„ PowerPoint ู…ุด ูƒุงู…ู„ุฉุจุชุญุท ุดูˆูŠุฉ ุดุบู„ุงุช ุนู„ูŠู‡ุง ุงู„ูŠูˆู…
84
+
85
+ 22
86
+ 00:01:45,200 --> 00:01:49,720
87
+ ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ุจุฏุฃ ู…ุจุงุดุฑุฉ ููŠ chapter ูˆุงุญุฏ ุงู„ chapter
88
+
89
+ 23
90
+ 00:01:49,720 --> 00:01:54,100
91
+ ุงู„ุฃูˆู„ ุนูŠู†ูŠู‡ ู‡ูˆ chapter ุฑู‚ู… ุชู„ุงุชู‡ ุฅุฐุง ุงู„ course
92
+
93
+ 24
94
+ 00:01:54,100 --> 00:02:00,840
95
+ ุชุจุนู†ุง ุงุณู…ู‡ basic statistics ุฃูˆู„ chapter ุจู†ุณู…ูŠู‡
96
+
97
+ 25
98
+ 00:02:00,840 --> 00:02:05,820
99
+ numerical descriptive measures ุงู„ู„ูŠ ู‡ูŠ ู…ู‚ูŠูŠุณ
100
+
101
+ 26
102
+ 00:02:05,820 --> 00:02:12,160
103
+ ุงู„ูˆุตููŠุฉ ุงู„ุฑู‚ู…ูŠุฉุจุชุนุฑู ุงุญู†ุง ุงู„ data in general has
104
+
105
+ 27
106
+ 00:02:12,160 --> 00:02:19,940
107
+ two types ุงู…ุง numerical ู†ุณู…ูŠู‡ุง numerical data ุงูˆ
108
+
109
+ 28
110
+ 00:02:19,940 --> 00:02:27,200
111
+ ู†ุณู…ูŠู‡ุง ุงู„ุชุงู†ูŠุฉ categorical data ุงุฐุง ู†ุณู…ูŠู‡ุง
112
+
113
+ 29
114
+ 00:02:27,200 --> 00:02:35,260
115
+ numerical data ุงูˆ ุงุญู†ุง ู†ุณู…ูŠู‡ุง quantitative ุงูˆ
116
+
117
+ 30
118
+ 00:02:35,260 --> 00:02:36,080
119
+ ู†ุณู…ูŠู‡ุง qualitative
120
+
121
+ 31
122
+ 00:02:40,210 --> 00:02:44,670
123
+ ุงู„ุจูŠุงู†ุงุช ู„ุฏูŠู‡ุง ุฃุดุฎุงุต ู…ุฎุชู„ูุฉ ุจุดูƒู„ ุนุงู… ูˆุงุญุฏุฉ ุจู†ุณู…ูŠู‡ุง
124
+
125
+ 32
126
+ 00:02:44,670 --> 00:02:48,250
127
+ numerical data ุงูˆ quantitative data ูˆุงู„ุซุงู†ูŠุฉ
128
+
129
+ 33
130
+ 00:02:48,250 --> 00:02:53,370
131
+ ุจุณู…ูŠู‡ุง qualitative data ุงูˆ categorical data ุนู„ู‰
132
+
133
+ 34
134
+ 00:02:53,370 --> 00:02:59,750
135
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ุนู…ุฑ ุนู…ุฑ ู‡ูˆ ุงู„ู†ู…ุฑูŠ ุงุฐุง
136
+
137
+ 35
138
+ 00:02:59,750 --> 00:03:08,310
139
+ ุนู…ุฑูƒ 18 ุณู†ุฉ 18 ู‡ูŠ ู‚ูŠู…ุฉ ู†ู…ุฑูŠ ุงุฐุง ูƒู†ุง ู†ุชุญุฏุซ ุนู† ุงู„ุถุบุท
140
+
141
+ 36
142
+ 00:03:11,990 --> 00:03:17,590
143
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ูƒู…ูŠุฉ ุนุงู…ุฉ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู‡ูˆ 70 ูƒูŠู„ูˆ
144
+
145
+ 37
146
+ 00:03:17,590 --> 00:03:23,510
147
+ ุฌุฑุงู…ุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ู†ู…ูˆุฐุฌูŠุฉ ุนู†ุฏู…ุง ู†ุชูƒู„ู… ุนู†
148
+
149
+ 38
150
+ 00:03:23,510 --> 00:03:27,970
151
+ ุงู„ุจูŠุงู†ุงุช ุงู„ูƒุชูˆุฑูŠูƒูŠุฉ ุฃูˆ ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุนู„ู‰ ุณุจูŠู„
152
+
153
+ 39
154
+ 00:03:27,970 --> 00:03:33,610
155
+ ุงู„ู…ุซุงู„ ุงู„ุฌู†ุณ ุฅู…ุง ุงู„ู…ู„ุงูƒูŠู† ุฃูˆ ุงู„ู…ู„ุงูƒูŠู† ุฃูˆ ุงู„ู…ู„ุงูƒูŠู†
156
+
157
+ 40
158
+ 00:03:33,610 --> 00:03:36,670
159
+ ู‡ุฐุง
160
+
161
+ 41
162
+ 00:03:36,670 --> 00:03:40,710
163
+ ูŠุณู…ู‰ ุชู‚ู„ูŠุฏูŠุฉ ุชู‚ู„ูŠุฏูŠุฉ ู…ุนู†ุงู‡ ู†ูˆุนูŠ
164
+
165
+ 42
166
+ 00:03:43,490 --> 00:03:49,390
167
+ Quantitative ูŠุนู†ูŠ ุฑู‚ู…ูŠ This chapter focus on
168
+
169
+ 43
170
+ 00:03:49,390 --> 00:03:54,150
171
+ numerical descriptive measures ุจู†ุฑูƒุฒ ุนู„ู‰ ุงู„ู…ู‚ูŠูŠุณ
172
+
173
+ 44
174
+ 00:03:54,150 --> 00:03:59,430
175
+ ุงู„ูˆุตููŠุฉ ุงู„ุฑู‚ู…ูŠุฉ So we are talking about something
176
+
177
+ 45
178
+ 00:03:59,430 --> 00:04:09,370
179
+ like scores Now suppose your score is 90 90 is
180
+
181
+ 46
182
+ 00:04:09,370 --> 00:04:14,540
183
+ numerical valueุงู„ุงู† ูƒูŠู ู†ู‚ุฑุฑ ุงู„ู…ุนู„ูˆู…ุงุช ุฅุฐุง ูƒุงู†
184
+
185
+ 47
186
+ 00:04:14,540 --> 00:04:19,240
187
+ ู„ุฏูŠู†ุง ู‚ูŠู…ุฉ ู†ู…ูŠุฐูŠุฉุŸ ููŠ
188
+
189
+ 48
190
+ 00:04:19,240 --> 00:04:25,180
191
+ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ู„ุฏูŠู†ุง ุฃุฑุจุน ุฃู‡ุฏุงู ุงู„ุฃูˆู„ุฉ
192
+
193
+ 49
194
+ 00:04:25,180 --> 00:04:30,760
195
+ ุชุณู…ุญ ุจู€Properties of Central Tendency ู„ุญุธุฉ ู„ุงู† ููŠ
196
+
197
+ 50
198
+ 00:04:30,760 --> 00:04:38,740
199
+ ุนู†ุฏูŠ ุฃูˆู„ ุชุนุฑูŠู Central Tendency ุฅูŠุด
200
+
201
+ 51
202
+ 00:04:38,740 --> 00:04:46,420
203
+ ู…ุนู†ู‰ CentralุŸู…ุฑูƒุฒ tendency ู†ุฒุนุฉ ุจุงู„ุธุจุท ูู‡ูŠ ุจูŠุณู…ูŠู‡ุง
204
+
205
+ 52
206
+ 00:04:46,420 --> 00:04:51,220
207
+ ู†ุฒุนุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุดูˆู ุงู†ุง ู‡ุญุงูˆู„ ุงู„ู…ุตุทู„ุญุงุช ุชุญูƒูŠ ุนุฑุจูŠ
208
+
209
+ 53
210
+ 00:04:51,220 --> 00:04:56,880
211
+ ุงู†ุฌู„ูŠุฒูŠ ูููŠ ุนู†ุฏูŠ describe the probabilities of
212
+
213
+ 54
214
+ 00:04:56,880 --> 00:05:01,180
215
+ central tendency ู…ุนู†ุงู‡ุง
216
+
217
+ 55
218
+ 00:05:01,180 --> 00:05:09,040
219
+ ุจุฏุฃ ุงุดุฑุญ ุงูˆ ุงูˆุตู ุฎุตุงุฆุต ู†ุฒุนุฉ ุงู„ู…ุฑูƒุฒูŠุฉ variation ุงูŠุด
220
+
221
+ 56
222
+ 00:05:09,040 --> 00:05:09,680
223
+ ูŠุนู†ูŠ variation
224
+
225
+ 57
226
+ 00:05:12,930 --> 00:05:18,950
227
+ variation ู…ุนู†ุงู‡ ุงุฎุชู„ุงู ุงูˆ
228
+
229
+ 58
230
+ 00:05:18,950 --> 00:05:27,070
231
+ ุชุดุชุช ุงูˆ ุชุจูŠู† and shape in numerical data ุดูƒู„
232
+
233
+ 59
234
+ 00:05:33,740 --> 00:05:37,360
235
+ ููŠ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉ ุณู†ุชุญุฏุซ ุนู† ุซู„ุงุซ ุฃุณุฆู„ุฉ ุงู„ุฑุฆูŠุณูŠุฉ
236
+
237
+ 60
238
+ 00:05:37,360 --> 00:05:49,800
239
+ ู„ู„ู…ู‚ุงู„ุงุช ุงู„ุฑุณู…ูŠุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ ุชู†ุฏู†ุณูŠุฉ ู…ุฑูƒุฒูŠุฉ ุงู„ุงุฎุชู„ุงู
240
+
241
+ 61
242
+ 00:05:49,800 --> 00:05:51,260
243
+ ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู
244
+
245
+ 62
246
+ 00:05:51,260 --> 00:05:51,760
247
+ ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ
248
+
249
+ 63
250
+ 00:05:51,760 --> 00:05:52,700
251
+ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู
252
+
253
+ 64
254
+ 00:05:52,700 --> 00:05:52,720
255
+ ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู
256
+
257
+ 65
258
+ 00:05:52,720 --> 00:05:55,880
259
+ ุงู„ุงุฎุชู„ุงู ุงูˆ
260
+
261
+ 66
262
+ 00:05:55,880 --> 00:05:59,020
263
+ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู ุงูˆ ุชุดุชุทู ุงู„ุงุฎุชู„ุงู
264
+
265
+ 67
266
+ 00:05:59,020 --> 00:05:59,100
267
+ ุงูˆ ุชุดุชุท
268
+
269
+ 68
270
+ 00:06:02,390 --> 00:06:07,790
271
+ construct ู…ุนู†ุงู‡ุง ุจู†ุงุก
272
+
273
+ 69
274
+ 00:06:07,790 --> 00:06:17,270
275
+ ุฃูˆ ุฅู†ุดุงุก ุฃูˆ ุฅู†ุดุงุก ุฃูˆ ุฑุณู… ุณู…ูŠู‡ุง interpret ุชูุณูŠุฑ
276
+
277
+ 70
278
+ 00:06:17,270 --> 00:06:22,190
279
+ ุจุชูุณูŠุฑ ุจูƒุณ ุจู„ุงุช ุญุฏ ูŠุณู…ูŠู‡ุง ุจูƒุณ ุจู„ุงุช ู‡ู†ุงุฎุฏู‡ุง
280
+
281
+ 71
282
+ 00:06:22,190 --> 00:06:26,610
283
+ ุจุงู„ุชูุณูŠุฑ ุจุนุฏูŠู† ุฅุฐุง ุจู†ุนู…ู„ ุจู†ุงุก ูˆุงู„ุชุนู„ูŠู‚ ุฃูˆ ุงู„ุชูุณูŠุฑ
284
+
285
+ 72
286
+ 00:06:26,610 --> 00:06:30,630
287
+ ุจูƒุณ ุจู„ุงุช number three compute descriptive summary
288
+
289
+ 73
290
+ 00:06:30,630 --> 00:06:34,760
291
+ measures for a populationIn general, we have
292
+
293
+ 74
294
+ 00:06:34,760 --> 00:06:38,860
295
+ population suppose we are talking about IUG
296
+
297
+ 75
298
+ 00:06:38,860 --> 00:06:45,580
299
+ students ุจุชูƒู„ู… ุนู„ู‰ all IUG studentsุŒ ูƒู„ ุทู„ุจุฉ
300
+
301
+ 76
302
+ 00:06:45,580 --> 00:06:55,660
303
+ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ุจุญูƒูŠ ูƒู„ุŒ ุจุชูƒู„ู… ุนู† population ุฅูŠุด
304
+
305
+ 77
306
+ 00:06:55,660 --> 00:07:03,910
307
+ ู…ุนู†ู‰ populationุŸ ู…ุฌุชู…ุนุŒ ู…ุฌุชู…ุน ูƒูƒู„ู„ูˆ ุฃุฎุฏุช ู…ู†ู‡ ุณุงู…ุจู„
308
+
309
+ 78
310
+ 00:07:03,910 --> 00:07:10,670
311
+ ุตุบูŠุฑู‡ ู‡ูƒุฐุง ู†ูุชุฑุถ ุณุงู…ุจู„ ู‡ูƒุฐุง ุทุจุนุง ุงู„ size ุชุจุน
312
+
313
+ 79
314
+ 00:07:10,670 --> 00:07:15,030
315
+ population ู…ู…ูƒู† ูŠูƒูˆู† ู…ุซู„ุง ุณุชุฉ ุนุดุฑ ุฃู„ูุŒ sixty
316
+
317
+ 80
318
+ 00:07:15,030 --> 00:07:20,910
319
+ thousand ุงู„ุณุงู…ุจู„ ุฅูŠุด ู‡ุชูƒูˆู†ุŸ ุฌุฒุกุŒ ู…ู…ูƒู† ูŠุงุฎุฏ ู…ูŠุฉ
320
+
321
+ 81
322
+ 00:07:20,910 --> 00:07:26,410
323
+ ู…ู†ู‡ู…ุŒ ุนูŠู†ุฉ number that he talks aboutHow can we
324
+
325
+ 82
326
+ 00:07:26,410 --> 00:07:30,810
327
+ compute descriptive measures for a population for
328
+
329
+ 83
330
+ 00:07:30,810 --> 00:07:34,670
331
+ the entire data for the entire data we have plus
332
+
333
+ 84
334
+ 00:07:34,670 --> 00:07:39,270
335
+ objective calculate the covariance and the
336
+
337
+ 85
338
+ 00:07:39,270 --> 00:07:44,150
339
+ coefficient of correlation variance ู…ุนู†ุงู‡ ุงูŠุดุŸ
340
+
341
+ 86
342
+ 00:07:44,150 --> 00:07:53,010
343
+ ุชุจุงู‡ู… ูˆ co .. ุงูŠ ุญุงุฌุฉ co ู…ุนู†ุงู‡ุง ู…ุดุชุฑูƒุฅุฐุง ุจุฏู†ุง ู†ุญุณุจ
344
+
345
+ 87
346
+ 00:07:53,010 --> 00:07:57,750
347
+ ุงู„ุชุจุงูŠู† ุงู„ู…ุดุชุฑูƒ ุฃูˆ ุณู…ูŠุญุงู†ุง ุงู„ุชุบูŠุฑ ู‡ุฐุง ููŠ ุขุฎุฑ
348
+
349
+ 88
350
+ 00:07:57,750 --> 00:08:00,990
351
+ ุงู„ุญู„ู‚ู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ุฅุฐุง ู†ุชูƒู„ู… ุนู† ุงู„ู€ covariance
352
+
353
+ 89
354
+ 00:08:00,990 --> 00:08:07,630
355
+ ุชุบูŠุฑ and
356
+
357
+ 90
358
+ 00:08:07,630 --> 00:08:11,650
359
+ the coefficient of correlation ุงู„ู„ูŠ ู‡ูˆ ุฃูŠุดุŸ ู…ุนุงู…ู„
360
+
361
+ 91
362
+ 00:08:11,650 --> 00:08:15,910
363
+ ุงู„ุฅุฑุชุจุงุท ู‡ุฐูˆู„ four objectives ู„ุญุธุฉ ููŠ ุนู†ุฏูŠ ุดูˆูŠุฉ
364
+
365
+ 92
366
+ 00:08:15,910 --> 00:08:20,630
367
+ ู…ุตุทู„ุญุงุช ุฌุฏูŠุฏุฉ ุฃู†ุง ุจุงู†ุตุญูƒ ุฎู„ู‘ูŠ ุนู†ุฏูƒ ุฏูุชุฑ ู„ุญุงู„ ูˆ ู‡ูŠูƒ
368
+
369
+ 93
370
+ 00:08:20,630 --> 00:08:28,170
371
+ ู„ู„ ..ู„ู„ู…ุตุทู„ุญุงุช ู‡ุฏูˆู„ ุฒูŠ Center Tendency Variation
372
+
373
+ 94
374
+ 00:08:28,170 --> 00:08:33,750
375
+ Shape Interpret Covariance Correlation ู‡ุฏูˆู„
376
+
377
+ 95
378
+ 00:08:33,750 --> 00:08:37,010
379
+ ู…ุตุทู„ุญุงุช ุฃู†ุง ุณุงุฎุฏูŠู†ู‡ุง ุจูƒุซุฑุฉ ูุจุงู„ุชุงู„ูŠ ูƒูˆูŠุณ ูŠูƒูˆู† ุนู†ุฏูƒ
380
+
381
+ 96
382
+ 00:08:37,010 --> 00:08:46,010
383
+ ุชู„ุฎูŠุต ู„ู‡ู… ุงู„ู„ูŠ
384
+
385
+ 97
386
+ 00:08:46,010 --> 00:08:50,980
387
+ ุฃู†ุง ู‡ุชูƒู„ู… ุนู„ู‰ summary definitions ุจุนุถ ุงู„ุชุนุฑูŠูุงุชูˆ
388
+
389
+ 98
390
+ 00:08:50,980 --> 00:09:15,060
391
+ ู‡ู†ุจุฏุฃ ุจุฃูˆู„ ูˆุงุญุฏ ุงู„ู€ central tendency ู…ุฑุฉ
392
+
393
+ 99
394
+ 00:09:15,060 --> 00:09:19,700
395
+ ุชุงู†ูŠุฉ ุงู„ central tendency ู…ุนู†ุงู‡ุง ู†ุฒุนุฉ ู…ุฑูƒุฒูŠุฉ
396
+
397
+ 100
398
+ 00:09:27,100 --> 00:09:31,140
399
+ ุงู„ู„ูŠ ู„ูˆ ุณุฃู„ุช ูƒู„ ูˆุงุญุฏุฉ ููŠูƒูˆุง ุนู…ุฑู‡ุงุŒ ู…ู…ูƒู† ูˆุงุญุฏุฉ
400
+
401
+ 101
402
+ 00:09:31,140 --> 00:09:35,080
403
+ ุงู„ุณุจุนุชุงุดุŒ ูˆุงุญุฏุฉ ุชู…ุงู†ุชุงุดุŒ ูˆุงุญุฏุฉ ุนุดุฑูŠู† ูˆู‡ุงูƒุฐุงุŒ ู„ูˆ
404
+
405
+ 102
406
+ 00:09:35,080 --> 00:09:38,900
407
+ ุนุงูŠุฒ ุฃุฎุฏ ุงู„ center ุชุจุนูƒู…ุŒ ู‡ุฐุง ุงู„ center ู…ุนู†ุงู‡
408
+
409
+ 103
410
+ 00:09:38,900 --> 00:09:43,860
411
+ ุงู„ู‚ูŠู… ุชูŠุฌูŠ ุญูˆุงู„ูŠู† ุจุนุถู‡ู…ุŒ ู…ุชูˆุณุทุงุชู‡ู…ุŒ ู ุงู„ center
412
+
413
+ 104
414
+ 00:09:43,860 --> 00:09:50,040
415
+ tendency is the extent to which the valuesุงู„ุนูŠู…ุง
416
+
417
+ 105
418
+ 00:09:50,040 --> 00:09:53,360
419
+ ุฏู‡ ุฃู†ู‡ ููŠ ุนู†ุฏู‡ ู‚ูŠู… of numerical variable group
420
+
421
+ 106
422
+ 00:09:53,360 --> 00:09:57,540
423
+ around a typical or central value ูŠุนู†ูŠ ุงู„ู‚ูŠู…
424
+
425
+ 107
426
+ 00:09:57,540 --> 00:10:02,060
427
+ ุชุชู…ุฑูƒุฒ ูˆูŠู†ุŸ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุชูˆุณุทุŒ ูˆุงุญุฏุฉ ู…ู†ู‡ุง ุงู„ู…ุชูˆุณุทุŒ
428
+
429
+ 108
430
+ 00:10:02,060 --> 00:10:05,460
431
+ ู‡ู†ุงุฎุฏู‡ุง ุจุนุฏ ุดูˆูŠุฉ ู„ุฐุง ุงู„ central ู…ุนู†ุงู‡ุง ุงู„ู‚ูŠู… ุชุชุฌู…ุน
432
+
433
+ 109
434
+ 00:10:05,460 --> 00:10:09,000
435
+ ุฃูˆ ุชุชู…ุฑูƒุฒ ุญูˆุงู„ูŠู† ู‚ูŠู…ุฉ ููŠ ุงู„ู†ุตูุŒ ุจู†ุณู…ูŠู‡ุง ุงู„ central
436
+
437
+ 110
438
+ 00:10:09,000 --> 00:10:14,200
439
+ value ุงู„ variation is the amount of dispersion
440
+
441
+ 111
442
+ 00:10:14,200 --> 00:10:21,510
443
+ ุงู†ุชุดุงุฑ ุฃูˆ ุชุดุชุชุŒ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุชor scattering away ู…ุด
444
+
445
+ 112
446
+ 00:10:21,510 --> 00:10:26,570
447
+ scattering away ุชู†ุชุดุฑ ุจุดูƒู„ ุจุนูŠุฏ ุนู† ุงู„ู€ central
448
+
449
+ 113
450
+ 00:10:26,570 --> 00:10:31,130
451
+ value ูŠุนู†ูŠ ุงู„ variation ุจู‚ูŠุณ ูƒู…ูŠุฉ ุงู„ุชุดุชุช ูŠุนู†ูŠ ุงุฐุง
452
+
453
+ 114
454
+ 00:10:31,130 --> 00:10:36,450
455
+ ุงู„ุชุดุชุช ุตุบูŠุฑ ูƒุจูŠุฑ ุงูˆ ู…ุชูˆุณุท that
456
+
457
+ 115
458
+ 00:10:36,450 --> 00:10:40,730
459
+ the values of a numerical variable shown ุงุฐุง ุงู„
460
+
461
+ 116
462
+ 00:10:40,730 --> 00:10:44,570
463
+ variation ุจู‚ูŠุณ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุช ู„ู„ู‚ูŠู… ุนู† ุงู„ู…ุชูˆุณุท
464
+
465
+ 117
466
+ 00:10:44,570 --> 00:10:51,270
467
+ ุงู„ุญุณุงุจูŠุทุจ ุงู„ shape ุงู„ุดูƒู„ is the pattern of the
468
+
469
+ 118
470
+ 00:10:51,270 --> 00:10:56,210
471
+ distribution pattern ู…ุนู†ุงู‡ ู†ู…ุท ุงู„ุชูˆุฒูŠุน of values
472
+
473
+ 119
474
+ 00:10:56,210 --> 00:10:59,550
475
+ from the lowest value to the largest ูŠุนู†ูŠ ุดูƒู„
476
+
477
+ 120
478
+ 00:10:59,550 --> 00:11:03,730
479
+ ุงู„ุชูˆุฒูŠุน ู…ู† ุฃุตุบุฑ ู‚ูŠู…ุฉ ู„ุฃูƒุจุฑ ู‚ูŠู…ุฉ ุจู†ุณู…ูŠู‡ the shape
480
+
481
+ 121
482
+ 00:11:03,730 --> 00:11:11,940
483
+ ุฅุฐุง ููŠ ุนู†ุฏ ุงู„ centralุงู„ู‚ูŠู… ู…ุฑูƒุฒูŠุฉ ุนู† ู‚ูŠู… ุนุงู…ุฉ ุฃูˆ
484
+
485
+ 122
486
+ 00:11:11,940 --> 00:11:15,760
487
+ ุจุนุถ ุงู„ุฃุญูŠุงู† ุงุณู…ู‡ุง ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ ู‡ุฐุง ุงุณู…ู‡ุง ุชู†ุฏู†ุณูŠุฉ
488
+
489
+ 123
490
+ 00:11:15,760 --> 00:11:23,180
491
+ ู…ุฑูƒุฒูŠุฉ ู…ุฎุชู„ูุฉ ู…ู‚ุฏุงุฑ ุงู„ุชุดุชุช ู…ู† ุงู„ู…ุฑูƒุฒ ูƒู… ุชุดุชุช ุนู„ู‰
492
+
493
+ 124
494
+ 00:11:23,180 --> 00:11:28,760
495
+ ุงู„ู…ุชูˆุณุท ุงู„ุญุณุงุจูŠ ุงู„ุชุงู„ุช ุงู„ุดูƒู„ ู‡ูˆ ุทุฑูŠู‚ุฉ ุงู„ู…ุดุงุฑูƒุฉ ู…ู†
496
+
497
+ 125
498
+ 00:11:28,760 --> 00:11:35,180
499
+ ุฃุตุบุฑ ุฅู„ู‰ ุฃูƒุจุฑ ู…ุง ู‡ูˆ ุฃุตุบุฑุŸุฃุตุบุฑ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู‡ุฐูˆู„ ุงู„ู€
500
+
501
+ 126
502
+ 00:11:35,180 --> 00:11:39,260
503
+ three definitions ู‡ู†ุงุฎุฏ ูƒู„ ูˆุงุญุฏ ุจุงู„ุชูุตูŠู„ The first
504
+
505
+ 127
506
+ 00:11:39,260 --> 00:11:44,880
507
+ one talks about measures of central tendency ู†ุงุฎุฏ
508
+
509
+ 128
510
+ 00:11:44,880 --> 00:11:53,620
511
+ ู…ู‚ูŠุงุณ ู„ู‡ู… ุฃูˆู„ ู…ู‚ูŠุงุณ is called the mean ูƒู„ู†ุง ุจู†ุนุฑู
512
+
513
+ 129
514
+ 00:11:53,620 --> 00:11:53,960
515
+ ุงู„ mean
516
+
517
+ 130
518
+ 00:11:56,810 --> 00:12:01,090
519
+ ุงู„ู€ mean ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู…ุชูˆุณุท ุญุณุงุจูŠ it's called the
520
+
521
+ 131
522
+ 00:12:01,090 --> 00:12:06,030
523
+ arithmetic mean ุฃูˆ ู„ุณู‡ ูˆู„ุง ุจู†ุญูƒูŠ often just called
524
+
525
+ 132
526
+ 00:12:06,030 --> 00:12:10,690
527
+ the mean ุจุณ ุจุญูƒูŠ ุนู†ู‡ the mean it's
528
+
529
+ 133
530
+ 00:12:10,690 --> 00:12:15,890
531
+ the most common measure of central tendency ุฅูŠุด
532
+
533
+ 134
534
+ 00:12:15,890 --> 00:12:20,090
535
+ ูŠุนู†ูŠ most common central of central tendencyุŸุฃุดู‡ุฑ
536
+
537
+ 135
538
+ 00:12:20,090 --> 00:12:24,810
539
+ ู…ู‚ูŠุงุณ ุฃูˆ ุงู„ู…ู‚ูŠุงุณ ุงู„ุฃูƒุชุฑ ุดูŠูˆุนุง ุฃูˆ ุงู„ู…ู‚ูŠุงุณ ุงู„ุฃูƒุชุฑ
540
+
541
+ 136
542
+ 00:12:24,810 --> 00:12:29,770
543
+ ุงุณุชุฎุฏุงู…ุง ุฅุฐุง ุฃูƒุชุฑ ู…ู‚ูŠุงุณ ุณู†ุณุชุฎุฏู…ู‡ ุงู„ู€mean ุงู„ู€mean
544
+
545
+ 137
546
+ 00:12:29,770 --> 00:12:34,310
547
+ ู‡ูˆ ุฃูƒุชุฑ ู…ู‚ูŠุงุณ ุนุงู… ู„ู„ุชู†ุฏู†ุณูŠุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุงู„ุขู† ุงู„ุณุคุงู„
548
+
549
+ 138
550
+ 00:12:34,310 --> 00:12:37,450
551
+ ู‡ูˆ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
552
+
553
+ 139
554
+ 00:12:37,450 --> 00:12:40,150
555
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
556
+
557
+ 140
558
+ 00:12:40,150 --> 00:12:40,730
559
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
560
+
561
+ 141
562
+ 00:12:40,730 --> 00:12:40,730
563
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ
564
+
565
+ 142
566
+ 00:12:40,730 --> 00:12:42,880
567
+ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ูŠุงุณ ู„ู„ู…ู‚ุฃุญู†ุง ู†ุฃุฎุฐ
568
+
569
+ 143
570
+ 00:12:42,880 --> 00:12:46,840
571
+ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ุฃูˆ ู…ุฌู…ูˆุนุฉ ุตูุฑ ู† ๏ฟฝ๏ฟฝุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง ู†
572
+
573
+ 144
574
+ 00:12:46,840 --> 00:12:52,640
575
+ ุทู„ุงุจ ู† ู…ุซู„ุง ุฃูˆ ู…ู„ุงุญุธุงุช ู† ุฃูˆ ู…ุฌู…ูˆุนุฉ ู† ุงู„ู…ุฌู…ูˆุนุฉ
576
+
577
+ 145
578
+ 00:12:52,640 --> 00:12:55,800
579
+ ู…ุฎุชู„ูุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
580
+
581
+ 146
582
+ 00:12:55,800 --> 00:12:56,040
583
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
584
+
585
+ 147
586
+ 00:12:56,040 --> 00:12:59,480
587
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
588
+
589
+ 148
590
+ 00:12:59,480 --> 00:12:59,540
591
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
592
+
593
+ 149
594
+ 00:12:59,540 --> 00:13:03,040
595
+ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ ู…ู‚ุตุฏุฉ
596
+
597
+ 150
598
+ 00:13:03,040 --> 00:13:07,300
599
+ ู…ู‚ุตุฏุฉ ู…
600
+
601
+ 151
602
+ 00:13:10,740 --> 00:13:15,720
603
+ ู…ู…ูƒู† ุฃุณู…ูŠู‡ Y bar ู„ูƒู† ุบุงู„ุจุง ู†ุณุชุฎุฏู… X bar ุฅุฐุง X bar
604
+
605
+ 152
606
+ 00:13:15,720 --> 00:13:20,640
607
+ it stands for the mean or the arithmetic mean X
608
+
609
+ 153
610
+ 00:13:20,640 --> 00:13:26,700
611
+ bar equals .. we have a new symbol here this
612
+
613
+ 154
614
+ 00:13:26,700 --> 00:13:32,700
615
+ called summation summation
616
+
617
+ 155
618
+ 00:13:32,700 --> 00:13:38,200
619
+ ูŠุนู†ูŠ ู…ุฌู…ูˆุนุฉ summation
620
+
621
+ 156
622
+ 00:13:38,200 --> 00:13:40,140
623
+ of X I
624
+
625
+ 157
626
+ 00:13:48,720 --> 00:13:53,940
627
+ ุงู„ู‚ูŠู…ุฉ ุฑู‚ู… I ูŠุนู†ูŠ ุงูŠุด ุงู„ู‚ูŠู…ุฉ ุฑู‚ู… IุŸ ุนู„ู‰ ุณุจูŠู„
628
+
629
+ 158
630
+ 00:13:53,940 --> 00:14:03,180
631
+ ุงู„ู…ุซุงู„ุŒ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ 16 20 26 30 40 50
632
+
633
+ 159
634
+ 00:14:03,180 --> 00:14:11,020
635
+ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุงู„ุขู† ู‚ูŠู…ุฉ ุงู„ุฃูˆู„ู‰ 16ู†ุณุชุฎุฏู… X1 ู„ู€ 16 ูX1
636
+
637
+ 160
638
+ 00:14:11,020 --> 00:14:17,200
639
+ ู‡ูŠ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
640
+
641
+ 161
642
+ 00:14:17,200 --> 00:14:18,300
643
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
644
+
645
+ 162
646
+ 00:14:18,300 --> 00:14:18,760
647
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
648
+
649
+ 163
650
+ 00:14:18,760 --> 00:14:19,440
651
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
652
+
653
+ 164
654
+ 00:14:19,440 --> 00:14:20,200
655
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
656
+
657
+ 165
658
+ 00:14:20,200 --> 00:14:21,880
659
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
660
+
661
+ 166
662
+ 00:14:21,880 --> 00:14:22,720
663
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ
664
+
665
+ 167
666
+ 00:14:22,720 --> 00:14:34,500
667
+ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃูˆู„
668
+
669
+ 168
670
+ 00:14:34,500 --> 00:14:41,090
671
+ ู‚ูŠู…ุฉ ุฃูˆู„ ู‚ูŠู…ุฉ ุฃ6ุŒ 1,2,3 ุฅู„ู‰ 6ุŒ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง 6
672
+
673
+ 169
674
+ 00:14:41,090 --> 00:14:46,590
675
+ ู…ู„ุงุญุธุงุชุŒ ู„ุฐู„ูƒ ุตู…ู… ุงู„ู…ุฌู…ูˆุนุฉ ูŠู‚ู„ 6ุŒ ู„ุฐู„ูƒ ุตู…ู… XIุŒ I
676
+
677
+ 170
678
+ 00:14:46,590 --> 00:14:55,730
679
+ ูŠุชุฌู‡ ู…ู† 1 ุฅู„ู‰ 6ุŒ ูŠุนู†ูŠ X1 plus X2 ุฅู„ู‰ XNุŒ ุชู‚ู„ ู…ู† NุŒ
680
+
681
+ 171
682
+ 00:14:55,730 --> 00:15:06,290
683
+ ู…ุงู‡ูˆ NุŸ N ู‡ูˆ ุตู…ู… ุงู„ู…ุฌู…ูˆุนุฉSo the mean equals
684
+
685
+ 172
686
+ 00:15:06,290 --> 00:15:13,290
687
+ summation of XI divided by N Now once again X bar
688
+
689
+ 173
690
+ 00:15:13,290 --> 00:15:19,650
691
+ pronounced as X bar This symbol is called
692
+
693
+ 174
694
+ 00:15:19,650 --> 00:15:25,930
695
+ summation ู‡ุฐุง ู…ุณู…ู‰ ุงู„ู…ุฌู…ูˆุน ุงู„ Xุงุช ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† ุงู„
696
+
697
+ 175
698
+ 00:15:25,930 --> 00:15:29,070
699
+ observed values ุงู„ู‚ูŠู… ุงู„ู…ุดุงู‡ุฏุฉ ุงูŠุด ุงู„ observed
700
+
701
+ 176
702
+ 00:15:29,070 --> 00:15:34,670
703
+ ุงู„ู„ูŠ ู‡ูˆ ู…ุฏุฑุณุฉ 16 ู‡ู‚ูˆู„ observedobserved ูŠุนู†ูŠ
704
+
705
+ 177
706
+ 00:15:34,670 --> 00:15:40,230
707
+ ุงู„ู…ู„ุงุญุธุฉุŒ ุงู„ู‚ูŠู… ุงู„ู…ุดุงู‡ุฏุฉ ุฃูˆ ุงู„ู…ู„ุงุญุธุฉ ุฅู† ู‡ู…ุง ุนุดุฑูŠู†ุŒ
708
+
709
+ 178
710
+ 00:15:40,230 --> 00:15:42,150
711
+ ุณุชุฉ ูˆุนุดุฑูŠู†ุŒ ุชู„ุงุชูŠู† ูˆู…ุง ูƒุงู†ุŒ similar observed
712
+
713
+ 179
714
+ 00:15:42,150 --> 00:15:45,670
715
+ values ุฅุฐุง
716
+
717
+ 180
718
+ 00:15:45,670 --> 00:15:48,710
719
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ู€ the mean is the sum of the data ุฏูŠ
720
+
721
+ 181
722
+ 00:15:48,710 --> 00:15:52,290
723
+ ุจู‚ู‰ ูŠุชุจูŠู† ู…ุด ู‡ูŠูƒุŒ ู…ุชูˆุณุท ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู…ุฌู…ูˆุน ุงู„ู‚ูŠู…
724
+
725
+ 182
726
+ 00:15:52,290 --> 00:15:56,310
727
+ ุนู„ู‰ ุฃุฏุชู‡ุงุŒ ูู‡ูŠ ุงู„ summation ุชุจุนู‡ู… ุนู„ู‰ ุฃุฏุชู‡ู…
728
+
729
+ 183
730
+ 00:16:01,670 --> 00:16:05,130
731
+ once again the most common measure of center
732
+
733
+ 184
734
+ 00:16:05,130 --> 00:16:09,670
735
+ tendency is the mean definition of the mean some
736
+
737
+ 185
738
+ 00:16:09,670 --> 00:16:16,170
739
+ values divided by the number of values ู…ุฌู…ูˆุญู‡ู… ุนู„ู‰
740
+
741
+ 186
742
+ 00:16:16,170 --> 00:16:20,350
743
+ ุนุฏุฏู‡ู… number
744
+
745
+ 187
746
+ 00:16:20,350 --> 00:16:23,470
747
+ three the mean is affected by extreme values or
748
+
749
+ 188
750
+ 00:16:23,470 --> 00:16:27,890
751
+ outliersู…ุด ู…ุนู†ุงู‡ affected by extreme values ุจุชุฃุซุฑ
752
+
753
+ 189
754
+ 00:16:27,890 --> 00:16:33,850
755
+ extreme ู…ุนู†ุงู‡ุงู‚ูŠู… ุดุงุฏุฉ ุงูˆ ู…ุชุทุฑูุฉ ู‚ูŠู… ุดุงุฏุฉ ุงูˆ
756
+
757
+ 190
758
+ 00:16:33,850 --> 00:16:38,950
759
+ ู…ุชุทุฑูุฉ ู…ุนู†ุงู‡ุง ุงู…ุง large ุงูˆ small ุงุฐุง ุงู„ mean is
760
+
761
+ 191
762
+ 00:16:38,950 --> 00:16:46,410
763
+ affected by extreme values now
764
+
765
+ 192
766
+ 00:16:46,410 --> 00:16:51,110
767
+ let's see how can we compute the mean now suppose
768
+
769
+ 193
770
+ 00:16:51,110 --> 00:17:00,350
771
+ we have this data set we have 11 12 13 14 and 15
772
+
773
+ 194
774
+ 00:17:06,180 --> 00:17:10,100
775
+ ุงู„ุงู† ู„ูƒูŠ ู†ุญุตู„ ุนู„ู‰ ู…ุฌู…ูˆุญ ุงู„ู€ X bar ู†ุถูŠู ูู‚ุท ู‡ุฐู‡
776
+
777
+ 195
778
+ 00:17:10,100 --> 00:17:14,580
779
+ ุงู„ู‚ูŠู… ุซู…
780
+
781
+ 196
782
+ 00:17:14,580 --> 00:17:20,500
783
+ ู†ู‚ู„ ุจุงู„ N ู…ุฌู…ูˆุญู‡ู… ูˆู…ุฌุณู… ุนู„ู‰ ุนุฏุฏู‡ู… 11 13 ู„ุบุงูŠุฉ ู…ุง
784
+
785
+ 197
786
+ 00:17:20,500 --> 00:17:26,640
787
+ ุฎู„ุต ู„ูˆ ุฌู…ุนุชู‡ู… ุจุทู„ุน 65 over 5 so 13 ูู…ุฌู…ูˆุนู‡ู… ุนู„ู‰
788
+
789
+ 198
790
+ 00:17:26,640 --> 00:17:34,160
791
+ ุนุฏุฏู‡ู… 13 ูู…ุฌู…ูˆุญู‡ู…
792
+
793
+ 199
794
+ 00:17:34,160 --> 00:17:43,610
795
+ ุนู„ู‰ ุนุฏุฏู‡ู…ุงู„ุฃู† ู†ูุชุฑุถ ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุฌุงุจ 15 ุดูŠู„ู†ุงู‡ ูˆ
796
+
797
+ 200
798
+ 00:17:43,610 --> 00:17:53,770
799
+ ูŠู‚ูˆู… ุจุฅุนุงุฏุฉ 15 value ูˆ ูŠู‚ูˆู… ุจุฅุนุงุฏุฉ 20 now let's
800
+
801
+ 201
802
+ 00:17:53,770 --> 00:17:58,410
803
+ calculate the new mean the new mean is just 11 12
804
+
805
+ 202
806
+ 00:17:58,410 --> 00:18:03,690
807
+ 13 plus 20 over 5 this gives 14
808
+
809
+ 203
810
+ 00:18:07,100 --> 00:18:14,140
811
+ ุงู„ู‚ูŠู…ุฉ ูƒุงู†ุช 13 ูˆุนู†ุฏ ุชุบูŠูŠุฑู‡ุง ุฅู„ู‰ 20 ุชุบูŠุฑ ุงู„ู‚ูŠู…ุฉ ุฅู„ู‰
812
+
813
+ 204
814
+ 00:18:14,140 --> 00:18:19,280
815
+ 14 ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ู‚ูŠู…ุฉ ุชุชุฃุซุฑ ู…ู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ู€ 20
816
+
817
+ 205
818
+ 00:18:19,280 --> 00:18:26,460
819
+ ุจุนูŠุฏุฉ ู‚ู„ูŠู„ ู…ู† 15 ุชุนุชุจุฑ ู‚ูŠู…ุฉ ุฃูƒุชุฑูŠู… ุชู„ุงุญุธ ุฃู† ุงู„ู‚ูŠู…ุฉ
820
+
821
+ 206
822
+ 00:18:26,460 --> 00:18:31,960
823
+ ุชุชุบูŠุฑ ุตุญ ุชุชุบูŠุฑ ุจู…ู‚ุฏุงุฑ ุจุณูŠุท ูˆู„ูƒู† ุชุชุบูŠุฑุฅุฐุง ุงู„ุณุจุจ
824
+
825
+ 207
826
+ 00:18:31,960 --> 00:18:35,060
827
+ ุจุชุบูŠุฑ ู„ุฃู† ุงู„ู€mean ุชุนูŠุด ุชุนุฑูŠูู‡ sum of values
828
+
829
+ 208
830
+ 00:18:35,060 --> 00:18:39,440
831
+ divided by n ูู„ู…ุง ุบูŠุฑู‡ุง 15 ุจ20 ุฃูƒูŠุฏ ุงู„ู€mean ู‡ูŠุชุบูŠุฑ
832
+
833
+ 209
834
+ 00:18:39,440 --> 00:18:49,320
835
+ ุฅุฐุง ุงู„ู€mean is affected by extreme values one
836
+
837
+ 210
838
+ 00:18:49,320 --> 00:18:55,900
839
+ more example suppose we have this data one up to
840
+
841
+ 211
842
+ 00:18:55,900 --> 00:18:56,880
843
+ nine
844
+
845
+ 212
846
+ 00:19:00,190 --> 00:19:07,470
847
+ ุงู„ุงู† ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุจูŠุงู†ุงุชุŸ ุณู…ูŠุฉ ุชู‚ุฑูŠุจุง ู…ู† N ุฅุฐุง
848
+
849
+ 213
850
+ 00:19:07,470 --> 00:19:11,650
851
+ ู‚ู…ู†ุง ู†ู‚ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ู†
852
+
853
+ 214
854
+ 00:19:11,650 --> 00:19:16,850
855
+ ูˆุงุญุฏุฉ ุฅู„ู‰ ุชุณุนุฉ ู…ุฌู…ูˆุญู‡ู… ุฎู…ุณุฉ ูˆุงุฑุจุนูŠู†ุŒ forty five
856
+
857
+ 215
858
+ 00:19:16,850 --> 00:19:26,770
859
+ ุนุฏุฏู‡ู… ุชุณุนุฉ ูู‚ูŠู…ู‡ุง ุฎู…ุณุฉ ุงุฐุง ู‚ู…ู†ุง ู†ุถูŠู ู…ุงุฆุฉ ุฅู„ู‰ ู‡ุฐู‡
860
+
861
+ 216
862
+ 00:19:26,770 --> 00:19:27,050
863
+ ุงู„ู‚ูŠู…
864
+
865
+ 217
866
+ 00:19:30,040 --> 00:19:34,200
867
+ 100 ู‡ูŠ ู‚ูŠู…ุฉ ุฃูƒุชุฑุŒ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉุŒ outlierุŒ ู‚ูŠู…ุฉ ุดุงุฏุฉ
868
+
869
+ 218
870
+ 00:19:34,200 --> 00:19:40,540
871
+ ู„ูˆ ุถูุช ุงู„ู…ูŠุฉ ุนู„ูŠู‡ู…ุŒ ุงู„ู€ new mean ู…ุด ู‡ูŠุณุงูˆูŠุŒ ุตุงุฑ
872
+
873
+ 219
874
+ 00:19:40,540 --> 00:19:45,700
875
+ 145ุŒ ุงู„ู€ sample size ู‡ูˆ 10 ู„ุฃู†ู†ุง ู‚ู…ู†ุง ุจุฅุถุงูุฉ ู‚ูŠู…ุฉ
876
+
877
+ 220
878
+ 00:19:45,700 --> 00:19:51,180
879
+ ูˆุงุญุฏุฉุŒ 14.5 ู„ุญุธุฉุŒ
880
+
881
+ 221
882
+ 00:19:51,180 --> 00:19:55,080
883
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู‚ุฏูŠู…ุฉ ูƒุงู†ุช 5ุŒ ูˆ ุงู„ุขู† ุชุตุจุญ 14.5 ู‡ุฐุง ูŠุนู†ูŠ
884
+
885
+ 222
886
+ 00:19:55,080 --> 00:20:00,300
887
+ ุฃู† ุงู„ู‚ูŠู…ุฉ ุชุชุฃุซุฑ ู…ู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุชุฑูˆุงุถุญ ุฃู†ู‡ ูŠุชุฃุซุฑ
888
+
889
+ 223
890
+ 00:20:00,300 --> 00:20:04,820
891
+ ุงู„ู‚ูŠู… ุงู„ูƒุจูŠุฑุฉ ุชู„ุงุญุธ ุงู„ู‚ูŠู…ุฉ ูƒุงู†ุช ุฎู…ุณุฉ ุตุงุฑุช ุฃุฑุจุนุชุงุดุฑ
892
+
893
+ 224
894
+ 00:20:04,820 --> 00:20:08,480
895
+ ูˆ ู†ุต ุชู‚ุฑูŠุจุง ุชู„ุงุชุฉ ุถุนู ุนุดุงู† ูƒุฏู‡ ุจู†ุญูƒูŠ the mean is
896
+
897
+ 225
898
+ 00:20:08,480 --> 00:20:13,040
899
+ affected by extreme value ุฅุฐุง ุจุชุฃุซุฑ ุงู„ู‚ูŠู… ุงู„ุดุฏู‘ุฉ
900
+
901
+ 226
902
+ 00:20:13,040 --> 00:20:16,500
903
+ ู‡ูŠ
904
+
905
+ 227
906
+ 00:20:16,500 --> 00:20:20,580
907
+ ูŠุนู†ูŠ ู„ุฅู† ุจู‚ุฏุฑุด ุฃุฌูŠุจ ุนู„ูŠู‡ุง ุงู„ุณุคุงู„ ู‡ู†ุฎู„ูŠู‡ ู„ุจุนุฏูŠ ู„ู…ุง
908
+
909
+ 228
910
+ 00:20:20,580 --> 00:20:25,500
911
+ ู†ุงุฎุฏ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ box plot ู„ูƒู† ู…ุจุฏุฃูŠุง ุงู„ twenty
912
+
913
+ 229
914
+ 00:20:25,500 --> 00:20:31,620
915
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ุชู„ุงุญุธูŠุงู„ู€ 13 ู„ 14 ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุนุดุงู† ูƒุฏู‡
916
+
917
+ 230
918
+ 00:20:31,620 --> 00:20:37,040
919
+ ุงู„ 20 ู…ู…ูƒู† ู…ุด extreme value ู„ูƒู† ู„ู…ุง ุญุงุทู„ุช ุงู„ู…ูŠุฉ ู…ู†
920
+
921
+ 231
922
+ 00:20:37,040 --> 00:20:42,360
923
+ 5 ู„ 14 ูˆ ู†ุต ูˆุงุถุญ ุงู„ู…ุณุงูุฉ ูƒุจูŠุฑุฉ ุจูŠู†ู‡ู… ู„ูƒู† ู…ู‚ุฏุฑุด
924
+
925
+ 232
926
+ 00:20:42,360 --> 00:20:46,840
927
+ ุงุญุฏุฏ ุงู„ุขู† ู„ูƒู† ูˆุงุถุญ ุงู†ู‡ ููŠ ุงู„ data ุงู„ุฃูˆู„ู‰ ุงู„ 20 is
928
+
929
+ 233
930
+ 00:20:46,840 --> 00:20:50,160
931
+ not that extreme value ู…ุด ูƒุชูŠุฑุฉ ุจุนูŠุฏุฉ ุนุดุงู† ูƒุฏู‡ ุงู„
932
+
933
+ 234
934
+ 00:20:50,160 --> 00:20:56,740
935
+ mean ูƒุงู† 13 ุตุงุฑ 14 ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑุณุคุงู„ูƒ ูƒูˆูŠุณ ุจุณ ุฃุฌุงุจ
936
+
937
+ 235
938
+ 00:20:56,740 --> 00:21:01,940
939
+ ุนู„ูŠู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ุฎู„ุงู„ ุงู„ู„ู‚ุงุกุงุช ุงู„ู„ูŠ ุฌุงูŠุฉ the
940
+
941
+ 236
942
+ 00:21:01,940 --> 00:21:07,740
943
+ next measure is called the median ุงูŠุด medianุŸ ูˆุณูŠุท
944
+
945
+ 237
946
+ 00:21:07,740 --> 00:21:13,140
947
+ ุงู„ median ู…ุนู†ุงู‡ ุงู„ูˆุณูŠุท ุชุนุฑู
948
+
949
+ 238
950
+ 00:21:13,140 --> 00:21:17,480
951
+ ุงู„ูˆุณูŠุท the value in the middle ุงู„ู‚ูŠู…ุฉ ุงู„ู ูˆ ุงู„ู†ุตุจุณ
952
+
953
+ 239
954
+ 00:21:17,480 --> 00:21:20,520
955
+ after we arrange the data from smallest to largest
956
+
957
+ 240
958
+ 00:21:20,520 --> 00:21:23,500
959
+ ู„ู…ุง ุฃุฑุชุจ ุงู„ู‚ูŠุงู… ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ ุดูˆูŠุฉ ู‚ูŠู…
960
+
961
+ 241
962
+ 00:21:23,500 --> 00:21:27,280
963
+ ุจุชุฑุชุจูŠู‡ู… ู…ู† ุงู„ุตุบูŠุฑ ๏ฟฝ๏ฟฝู„ูƒุจูŠุฑ ุฃูˆ ุงู„ุนูƒุณ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ููŠ
964
+
965
+ 242
966
+ 00:21:27,280 --> 00:21:30,360
967
+ ุงู„ูˆุณุท ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ media ู…ุนู†ุงู‡ ู‚ูŠู…ุฉ ููŠ ุงู„ูˆุณุท
968
+
969
+ 243
970
+ 00:21:30,360 --> 00:21:33,140
971
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจุชุณุงูˆูŠ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ูŠุนู†ูŠ
972
+
973
+ 244
974
+ 00:21:33,140 --> 00:21:36,280
975
+ ุนุฏุฏ ุงู„ู‚ูŠุงู… ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุจุชุณุงูˆูŠ ุนุฏุฏ ุงู„ู‚ูŠุงู… ุงู„ู„ูŠ
976
+
977
+ 245
978
+ 00:21:36,280 --> 00:21:40,460
979
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู‡ุฐุง ู…ุนู†ุงู‡ in an ordered array ููŠ ู…ุตููˆูุฉ
980
+
981
+ 246
982
+ 00:21:40,460 --> 00:21:47,550
983
+ ู…ุฑุชุจุฉ the median is the middle numbermiddle number
984
+
985
+ 247
986
+ 00:21:47,550 --> 00:21:52,490
987
+ ุงู„ู‚ูŠู…ุฉ ุฅูŠุดุŸ ููŠ ุงู„ู…ู†ุชุตู ู…ุนู†ู‰ ุงู„ู‚ูŠู…ุฉ ููŠ ุงู„ู…ู†ุชุตู ูŠุนู†ูŠ
988
+
989
+ 248
990
+ 00:21:52,490 --> 00:21:59,010
991
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ above ูˆ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ below ู„ุฃู†
992
+
993
+ 249
994
+ 00:21:59,010 --> 00:22:02,970
995
+ ูˆูŠู† ุงู„ูˆุณุทุฉ ููŠ ุฃุตุงุจุนูƒุŸ ููŠ ุงู„ู†ุต ู…ุธุจูˆุท ุฅูŠุด ู…ุนู†ู‰ ููŠ
996
+
997
+ 250
998
+ 00:22:02,970 --> 00:22:05,850
999
+ ุงู„ู†ุตุŸ ูŠุนู†ูŠ ุงุชู†ูŠู† ุนู„ู‰ ุงู„ุดู…ุงู„ ูˆ ุงุชู†ูŠู† ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ
1000
+
1001
+ 251
1002
+ 00:22:05,850 --> 00:22:07,490
1003
+ ุงู„ middle and the value in the middle when we
1004
+
1005
+ 252
1006
+ 00:22:07,490 --> 00:22:10,350
1007
+ arrange the data from smallest to largest ุฃูˆ ู…ู†
1008
+
1009
+ 253
1010
+ 00:22:10,350 --> 00:22:15,190
1011
+ largest to smallestุฃุฑุจุนุฉ ู‡ูˆ ู†ูุณ ุงู„ูƒู„ุจ ุงู„ุตุบูŠุฑ ุฃูŠู‡ุง
1012
+
1013
+ 254
1014
+ 00:22:15,190 --> 00:22:21,090
1015
+ ุจุชุญูƒูŠ .. ู„ูˆ ูƒุงู† ุฃุนุฏุงุฏู‡ู… ุฃุฑุจุนุฉ ู‡ุฌูŠุจูƒ ุฃุณูˆุฃ ุจุนุฏ ุงู„
1016
+
1017
+ 255
1018
+ 00:22:21,090 --> 00:22:25,710
1019
+ slide ู‡ุฐูŠ ุงู„ู„ูŠ ู‡ู… ู†ุญูƒูŠ ุนู„ู‰ ุงู„ุดุบู„ ุงู„ุทุจูŠุนูŠ ู„ูˆ ูƒุงู†
1020
+
1021
+ 256
1022
+ 00:22:25,710 --> 00:22:27,990
1023
+ ู‡ุฐุง ุดูˆูŠุฉ ู‚ูŠู… ุงู„ medium ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุจุนุฏ
1024
+
1025
+ 257
1026
+ 00:22:27,990 --> 00:22:32,810
1027
+ ู…ุฑุชุจู‡ู… ูˆุนู„ู‰ ูŠู…ูŠู†ู‡ู… ุจุณูˆุก ุนู„ู‰ ุดู…ุงู„ู‡ู… ุฎู„ูŠู†ุง ู†ุดูˆูู‡ุง
1028
+
1029
+ 258
1030
+ 00:22:32,810 --> 00:22:35,730
1031
+ ุจุนุฏ ุดูˆูŠุฉ ู…ุง ู†ุณุชุนุฌู„ุด ูŠุนู†ูŠ ุฌุงูˆุจ ุน ุณุคุงู„ูƒ ุจุนุฏ ุดูˆูŠุฉ
1032
+
1033
+ 259
1034
+ 00:22:35,730 --> 00:22:39,710
1035
+ ุชุทู„ุน ุนู„ู‰ ุงู„ู‚ูŠู… ู‡ุฐูˆู„ ู†ูุณ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ูุงุชุช11 .. 12 ..
1036
+
1037
+ 260
1038
+ 00:22:39,710 --> 00:22:42,570
1039
+ 13 .. 14 .. 15 .. The median and the value in the
1040
+
1041
+ 261
1042
+ 00:22:42,570 --> 00:22:45,810
1043
+ middle ูˆ ู‡ุฏูˆู„ ูˆุงุถุญ ุฃู†ู‡ we arrange the data ู…ุฑุชุจูŠู†
1044
+
1045
+ 262
1046
+ 00:22:45,810 --> 00:22:51,950
1047
+ ุงู„ value in the middle ู‡ูŠ
1048
+
1049
+ 263
1050
+ 00:22:51,950 --> 00:22:56,610
1051
+ ุงู„ median ู„ุญุธุฉ
1052
+
1053
+ 264
1054
+ 00:22:56,610 --> 00:23:01,880
1055
+ 13 ู‡ุฐู‡ุงู„ู‚ูŠู…ุฉ 13 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ุฃู† ู‡ู†ุงูƒ
1056
+
1057
+ 265
1058
+ 00:23:01,880 --> 00:23:06,060
1059
+ ุงุชุตุงู„ูŠู† ุชุญุช 13 ูˆ ุงุชุตุงู„ูŠู† ููˆู‚ู‡ุง ุงุชุตุงู„ูŠู† ุงู‚ู„ ูˆ
1060
+
1061
+ 266
1062
+ 00:23:06,060 --> 00:23:11,960
1063
+ ุงุชุตุงู„ูŠู† ุงุนู„ู‰ ู„ุฐู„ูƒ 13 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ุญุธุฉ
1064
+
1065
+ 267
1066
+ 00:23:11,960 --> 00:23:14,440
1067
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ูƒุงู†ุช ุชู„ุงุชูŠู† ุจุฑุถู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ
1068
+
1069
+ 268
1070
+ 00:23:14,440 --> 00:23:15,400
1071
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1072
+
1073
+ 269
1074
+ 00:23:15,400 --> 00:23:18,240
1075
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1076
+
1077
+ 270
1078
+ 00:23:18,240 --> 00:23:18,700
1079
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1080
+
1081
+ 271
1082
+ 00:23:18,700 --> 00:23:23,340
1083
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1084
+
1085
+ 272
1086
+ 00:23:26,230 --> 00:23:28,710
1087
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ Famous ู…ุง ุงุชุฃุซุฑุด ุจุงู„ู€ Extreme Value
1088
+
1089
+ 273
1090
+ 00:23:28,710 --> 00:23:35,250
1091
+ ู…ุธุจูˆุทุŸ ู‡ู†ุงูƒ ูƒุงู†ุช 14 ุชุฃุซุฑ ุงู„ู€ MedianุŒ ุงู„ู€ Main ู„ูƒู†
1092
+
1093
+ 274
1094
+ 00:23:35,250 --> 00:23:37,970
1095
+ ูˆุงุถุญ ุฅู† ุงู„ู€ Median is not affected by largest
1096
+
1097
+ 275
1098
+ 00:23:37,970 --> 00:23:41,630
1099
+ value ูŠุนู†ูŠ ุงู„ุฎู…ุณุฉ ุนุดุฑ ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุบู…ุถุช ุนู„ูŠู‡ุง ูˆ
1100
+
1101
+ 276
1102
+ 00:23:41,630 --> 00:23:48,210
1103
+ ุญุงุทูŠุช ุจุฏู„ู‡ุง 200 ุจุงู„ุชุงู… ุงู„ Median ูƒุฏู‡ุŸ 13 ู…ุน ูƒุฏู‡ ุงู„
1104
+
1105
+ 277
1106
+ 00:23:48,210 --> 00:23:52,470
1107
+ outliers ู…ุงู„ุงุด ู‚ูŠู…ุฉ ู‡ู†ุง ูŠุนู†ูŠ ุงู„ Median is not
1108
+
1109
+ 278
1110
+ 00:23:52,470 --> 00:23:58,790
1111
+ affectedby extreme outliers or outliers as the
1112
+
1113
+ 279
1114
+ 00:23:58,790 --> 00:24:04,910
1115
+ mean ุฅุฐุง ุงู„ู€ median is less sensitive ุฃู‚ู„ ุญุณุงุณูŠุฉ
1116
+
1117
+ 280
1118
+ 00:24:04,910 --> 00:24:09,710
1119
+ than the median to extreme values ู…ุน ูƒุฏู‡ outlier
1120
+
1121
+ 281
1122
+ 00:24:09,710 --> 00:24:15,810
1123
+ affect the mean much more than the median ุงู„
1124
+
1125
+ 282
1126
+ 00:24:15,810 --> 00:24:19,790
1127
+ outlier ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ mean ุฃูƒุชุฑ ู…ู†ู‡ุง ุนู„ู‰ ุงู„ median
1128
+
1129
+ 283
1130
+ 00:24:19,790 --> 00:24:24,770
1131
+ ุฅุฐุง ุงู„ outliers ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ mean ุฃูƒุชุฑุนุงู„ู€ mean
1132
+
1133
+ 284
1134
+ 00:24:24,770 --> 00:24:31,790
1135
+ ุงู„ู€ mean ุงู„ู„ูŠ ูุงุช ู„ุญุธุฉ ูƒุงู† 13 ุตุงุฑ 14 ู‡ู†ุง
1136
+
1137
+ 285
1138
+ 00:24:31,790 --> 00:24:36,250
1139
+ ุงู„ median ู…ุง ุฒุงู„ the same value ูŠุนู†ูŠ ุจุนุฏ ูƒุฏู‡ if we
1140
+
1141
+ 286
1142
+ 00:24:36,250 --> 00:24:39,830
1143
+ replace the largest value by any other value
1144
+
1145
+ 287
1146
+ 00:24:39,830 --> 00:24:43,150
1147
+ larger than that one then the median stay the same
1148
+
1149
+ 288
1150
+ 00:24:43,150 --> 00:24:47,870
1151
+ ุจุชุฃุซุฑุด ูˆู„ูˆ ุงุชุฃุซุฑ ุชุฃุซุฑู‡ ู…ุด ูƒุจูŠุฑ ุชุทู„ุน ุงู„ example
1152
+
1153
+ 289
1154
+ 00:24:47,870 --> 00:24:51,570
1155
+ ุงู„ู„ูŠ ูุงุช ู…ู† 1 ุฅู„ู‰ 9 ุญูƒูŠู†ุง ุงู„ mean was 5
1156
+
1157
+ 290
1158
+ 00:24:53,820 --> 00:25:01,200
1159
+ ูˆู„ู…ู‘ุง ุถูู†ุง ุงู„ู…ูŠุฉ ุตุงุฑ ุงู„ mean 14.5 ุทุจ ุทู„ุน ุงู„ median
1160
+
1161
+ 291
1162
+ 00:25:01,200 --> 00:25:08,100
1163
+ ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุฃูˆู„ู‰ ุงูˆ ุงู„ median ู…ุงุชุฃุซุฑุด ู‡ูŠ ููŠ ุงู„ู†ุต
1164
+
1165
+ 292
1166
+ 00:25:08,100 --> 00:25:14,560
1167
+ ู…ุธุจูˆุท ููˆุงุถุญ ุงู„ mean ูˆ ุงู„ median ู…ุง ู„ู‡ู… ุฒูŠ ุจุนุถ ุฅู„ู‰
1168
+
1169
+ 293
1170
+ 00:25:14,560 --> 00:25:20,000
1171
+ ู„ู…ุง ุถูุช ุงู„ู…ูŠุฉ ู„ุญุธุฉ ู„ู…ุง ุถูุช ุงู„ู…ูŠุฉ ุนู„ูŠู‡ู…
1172
+
1173
+ 294
1174
+ 00:25:23,150 --> 00:25:27,930
1175
+ ุจุทู„ุช ุงู„ุฎู…ุณุฉ ุงู„ median ู„ุฃู†
1176
+
1177
+ 295
1178
+ 00:25:27,930 --> 00:25:35,130
1179
+ ุงู„ุฎู…ุณุฉ ุนู„ู‰ ูŠุณุงุฑู‡ุง four values ูˆุนู„ู‰ ู…ูŠู†ู‡ุง ุฎู…ุณุฉ ู‡ุฐุง
1180
+
1181
+ 296
1182
+ 00:25:35,130 --> 00:25:39,350
1183
+ ูƒุงู† ุชุณุงูˆูŠ ุฒู…ูŠู†ูƒ ูˆู„ูŠุด ู…ูŠุงู‡ุŒ ุทุจ ูˆุงู„ุณุชุฉุŸ ุจุฑุถู‡ ุงู„ุณุชุฉ
1184
+
1185
+ 297
1186
+ 00:25:39,350 --> 00:25:42,590
1187
+ ู…ุด the median ู„ุฃู†ู‡ ุนู„ู‰ ูŠุณุงุฑู‡ุง ุฎู…ุณุฉ ูˆุนู„ู‰ ู…ูŠู†ู‡ุง
1188
+
1189
+ 298
1190
+ 00:25:42,590 --> 00:25:49,550
1191
+ ุฃุฑุจุนุฉ ุฅุฐุง ุงู„ median ุนุจุงุฑุฉ ุนู† ุฃูŠุดุŸ ุงู„ average ู„ู„
1192
+
1193
+ 299
1194
+ 00:25:49,550 --> 00:25:54,890
1195
+ middle pointsุงู„ู€ average ู„ ู‡ุฏูˆู„ ุงุชู†ูŠู† ูุงู„ average
1196
+
1197
+ 300
1198
+ 00:25:54,890 --> 00:26:02,510
1199
+ ุชู…ุญู‡ู… ุฎู…ุณุฉ ุฒูŠ ุณุชุฉ ุนู„ู‰ ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ู†ุตู ุงุฐุง ู„ู…ุง
1200
+
1201
+ 301
1202
+ 00:26:02,510 --> 00:26:08,910
1203
+ ุงูƒูˆู† ุนู†ุฏู‰ ู‡ุฏูˆู„ุฉ ูƒู… ูˆุงุญุฏุฉ ุงุนุฏุฏู‡ู… ุนุดุฑุฉ ู…ุด ู‡ูŠูƒ ู„ู…ุง
1204
+
1205
+ 302
1206
+ 00:26:08,910 --> 00:26:15,510
1207
+ ูŠูƒูˆู† even ูŠุนู†ูŠ ุนุฏุฏ ุฒูˆุฌูŠ ุจุชุงุฎุฏ ุงู„ average ู„ู„ two
1208
+
1209
+ 303
1210
+ 00:26:15,510 --> 00:26:19,470
1211
+ middle points five plus six ุนู„ู‰ ุงุชู†ูŠู† ู„ุญุธุฉ ุงู„
1212
+
1213
+ 304
1214
+ 00:26:19,470 --> 00:26:20,690
1215
+ median ูƒุงู† ุฎู…ุณุฉ
1216
+
1217
+ 305
1218
+ 00:26:23,680 --> 00:26:28,400
1219
+ ู„ู…ุง ุถูุช ุนู„ูŠู‡ ุงู„ู…ูŠุฉ ุตุงุฑ ุฌุฏูŠู‡ุด ุฎู…ุณุฉ ูˆ ู†ุต ุงุชุบูŠุฑุช
1220
+
1221
+ 306
1222
+ 00:26:28,400 --> 00:26:34,460
1223
+ ู‚ูŠู…ุชู‡ ู…ู† ุฎู…ุณุฉ ู„ุฎู…ุณุฉ ูˆ ู†ุต ุงุฐุง ุงู„ mean ูƒุงู† ุฎู…ุณุฉ ุตุงุฑุช
1224
+
1225
+ 307
1226
+ 00:26:34,460 --> 00:26:42,140
1227
+ ุงุฑุจุนุฉ ุนุดุฑ ูˆ ู†ุต ู„ูƒู† ุงู„ median ูƒุงู†ุช ุฎู…ุณุฉ ุตุงุฑุช ุฎู…ุณุฉ ูˆ
1228
+
1229
+ 308
1230
+ 00:26:42,140 --> 00:26:46,340
1231
+ ู†ุต ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ู…ูŠู† ุงู„ less sensitive ุงู„ mean ูˆู„ุง ุงู„
1232
+
1233
+ 309
1234
+ 00:26:46,340 --> 00:26:51,050
1235
+ medianุงู„ู€ median ุฃู‚ู„ ุญุณุงุณูŠุฉ ู‡ูˆ ุงุชุบูŠุฑ ู…ู† ุฎู…ุณุฉ ุตุญูŠุญ
1236
+
1237
+ 310
1238
+ 00:26:51,050 --> 00:26:55,210
1239
+ ู„ุฎู…ุณุฉ ูˆ ู†ุต ุจุณ ุงู„ุชุบูŠุฑ ุชุจู‚ู‰ ุฃู‚ู„ ู…ู† ุชุบูŠุฑ ุงู„ mean ุงู„
1240
+
1241
+ 311
1242
+ 00:26:55,210 --> 00:26:59,150
1243
+ mean ู…ู† ุฎู…ุณุฉ ู„ุงุฑุจุนุชุงุด ูˆ ู†ุต ูˆุงุถุญ ุงู† ุงู„ mean ุชุนุชุจุฑ
1244
+
1245
+ 312
1246
+ 00:26:59,150 --> 00:27:07,450
1247
+ extreme value ุฅุฐุง in general the median is less
1248
+
1249
+ 313
1250
+ 00:27:07,450 --> 00:27:10,130
1251
+ sensitive than the mean to extreme value ุฃู‚ู„
1252
+
1253
+ 314
1254
+ 00:27:10,130 --> 00:27:10,750
1255
+ ุญุณุงุณูŠุฉ
1256
+
1257
+ 315
1258
+ 00:27:19,270 --> 00:27:24,230
1259
+ ุงู„ุณlide ุงู„ุชุงู„ู ูŠุชูƒู„ู… ุนู† ู…ูˆู‚ุน ุงู„ medium ูƒูŠู ูŠู…ูƒู†ู†ุง
1260
+
1261
+ 316
1262
+ 00:27:24,230 --> 00:27:28,990
1263
+ ุชุญุตูŠู„ ู…ูˆู‚ุน ุงู„ mediumุŸ ูŠุนู†ูŠ ูƒูŠู ู…ู…ูƒู† ู†ุนู…ู„ ุงู„ู…ูƒุงู†
1264
+
1265
+ 317
1266
+ 00:27:28,990 --> 00:27:36,890
1267
+ ุชุจุน ุงู„ mediumุŸ ู‡ู†ุงูƒ ุงุซู†ูŠู† ุญุงู„ุงุช ุฅุฐุง N ุบุฑูŠุจ N
1268
+
1269
+ 318
1270
+ 00:27:36,890 --> 00:27:43,450
1271
+ ุฅูŠุด ุบุฑูŠุจุŸ ุบุฑูŠุจ ู…ุนู†ุงู‡ ุนุฏุฏ ูุฑุฏูŠ ูุฑุฏูŠ ูŠุนู†ูŠ ุชู„ุงุชุฉุŒ
1272
+
1273
+ 319
1274
+ 00:27:43,450 --> 00:27:48,040
1275
+ ุฎู…ุณุฉุŒ ุณุจุนุฉุŒ ุชุณุนุฉ ูˆ ู‡ูƒุฐุงููŠ ุงู„ุญุงู„ุฉ ุงู„ู€ location of
1276
+
1277
+ 320
1278
+ 00:27:48,040 --> 00:27:51,260
1279
+ the median when the values are in numerical order
1280
+
1281
+ 321
1282
+ 00:27:51,260 --> 00:27:55,380
1283
+ it means from smallest to largest the median
1284
+
1285
+ 322
1286
+ 00:27:55,380 --> 00:28:02,720
1287
+ position is n plus one over two ู‡ูŠ ุงู„ position so
1288
+
1289
+ 323
1290
+ 00:28:02,720 --> 00:28:11,880
1291
+ n plus one over two for this example n was five so
1292
+
1293
+ 324
1294
+ 00:28:11,880 --> 00:28:13,180
1295
+ the position of the median
1296
+
1297
+ 325
1298
+ 00:28:16,120 --> 00:28:22,520
1299
+ equal five plus one over two three ุฅุฐุง ุงู„ู…ูƒุงู† ุชุจุน
1300
+
1301
+ 326
1302
+ 00:28:22,520 --> 00:28:27,440
1303
+ ุฑู‚ู… ุชู„ุงุชุฉ ุจุนุฏ ู…ุฑุชุจ ู„ุญุธุฉ ู‡ุฐุง ุงู„ first position
1304
+
1305
+ 327
1306
+ 00:28:27,440 --> 00:28:33,720
1307
+ ุงู„ุดูŠุฎ ู‡ุฐุง ุฃูˆู„ ู…ูƒุงู† ูˆู‡ุฐุง ุงู„ุชุงู†ูŠ ูˆู‡ุฐุง ุงู„ุชุงู„ุช ูˆู‡ุฐุง
1308
+
1309
+ 328
1310
+ 00:28:33,720 --> 00:28:38,320
1311
+ ุงู„ุฑุงุจุน ูˆุงู„ุฎุงู…ุณ ุงู„ medium is in the third position
1312
+
1313
+ 329
1314
+ 00:28:38,320 --> 00:28:41,200
1315
+ ุงู„ third position ู…ูˆู‚ุน ุงู„ุชุงู„ุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู„ุงุชุฉ ุนุดุฑ
1316
+
1317
+ 330
1318
+ 00:28:41,200 --> 00:28:43,820
1319
+ ู„ุญุธุฉ ุงู„ุชู„ุงุชุฉ is not the medium
1320
+
1321
+ 331
1322
+ 00:28:47,860 --> 00:28:52,540
1323
+ is not the median ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ู…ูˆุถูˆุน ุชุจุนู‡
1324
+
1325
+ 332
1326
+ 00:28:52,540 --> 00:28:55,720
1327
+ position of the median ุงูŠุด ุจูŠุทู„ุน ุฏุงูŠู…ุง ูุฑุฏ ุงู‡ ู„ูˆ
1328
+
1329
+ 333
1330
+ 00:28:55,720 --> 00:29:01,040
1331
+ ูƒุงู† ู‡ุฐุง ุงู„ุณุช ุน ุงุชู†ูŠู† ูุฑุฏูŠ ู„ูˆ ุชุณุนุฉ ุชุณุนุฉ ุฒูŠ ูˆุงุญุฏ
1332
+
1333
+ 334
1334
+ 00:29:01,040 --> 00:29:07,940
1335
+ ุงุชู†ูŠู† ูุฑุฏูŠ ูˆูƒุฐุง ุทุจ ุงู„ู…ุซู„ุฉ ุนุฏุฏู‡ู… ุฌุฏูŠุด ุชุณุนุฉ ุชุณุนุฉ ุฒูŠ
1336
+
1337
+ 335
1338
+ 00:29:07,940 --> 00:29:12,630
1339
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุฎู…ุณุฉ ุงู„ู…ูƒุงู† ุฑู‚ู… ุฎู…ุณุฉู‡ู†ุง ุทู„ุน ุฎู…ุณุฉ
1340
+
1341
+ 336
1342
+ 00:29:12,630 --> 00:29:16,930
1343
+ ุจุงู„ุตุฏูุฉ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ูŠุทู„ุน ุฎู…ุณุฉ ู‡ูˆ ุฎู…ุณุฉ ู„ุญุธุฉ ู‡ู†ุง ุทู„ุน
1344
+
1345
+ 337
1346
+ 00:29:16,930 --> 00:29:22,630
1347
+ ุงู„ุชุงู„ุช ุชู„ุชุงุดุฑ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุฅุฐุง ุงู„ medium position n
1348
+
1349
+ 338
1350
+ 00:29:22,630 --> 00:29:27,710
1351
+ plus one over two if the number of values is odd
1352
+
1353
+ 339
1354
+ 00:29:27,710 --> 00:29:31,650
1355
+ ุฅุฐุง ุนุฏุฏู‡ู… ูุฑุฏูŠ the median is the middle number
1356
+
1357
+ 340
1358
+ 00:29:31,650 --> 00:29:38,770
1359
+ ุงู„ู‚ุจู„ ููŠ ุงู„ู†ุต if the number is even ุฅุฐุง ูƒุงู† ุฒูˆุฌูŠ
1360
+
1361
+ 341
1362
+ 00:29:38,770 --> 00:29:42,950
1363
+ ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ุถูู†ุง ุงู„ู…ูŠุฉ ุชูˆุฅุฐุง ูƒุงู†ุช ุงู„ู…ู‚ุงู„ุฉ ู…ุฑุชุจุทุฉุŒ
1364
+
1365
+ 342
1366
+ 00:29:42,950 --> 00:29:45,970
1367
+ ูุฅู† ู…ู‚ุงู„ุฉ ุงู„ู€ Median ู‡ูŠ ุนุงู…ู„ุฉ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงู„ูŠู† ุฃูˆ
1368
+
1369
+ 343
1370
+ 00:29:45,970 --> 00:29:49,430
1371
+ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงู„ูŠูŠู† ู„ุญุธุฉุŒ ู‡ู†ุง ุฃุฎุฐู†ุง ุนุงู…ู„ุฉ ุงู„ุงุซู†ูŠู†
1372
+
1373
+ 344
1374
+ 00:29:49,430 --> 00:29:55,850
1375
+ ุงู„ู…ู‚ุงู„ูŠูŠู† ู„ู€ 5 6 2 ูˆุงุจู‚ู‰ ููŠ ุฐูƒุฑ ุงู† N ุจู„ุณ 1 2 ู„ูŠุณ
1376
+
1377
+ 345
1378
+ 00:29:55,850 --> 00:30:01,450
1379
+ ู…ู‚ุงู„ุฉ ุงู„ู…ู‚ุงู„ุฉ ูู‚ุท
1380
+
1381
+ 346
1382
+ 00:30:01,450 --> 00:30:06,570
1383
+ ู…ู‚ุงู„ุฉ ุงู„ู…ู‚ุงู„ุฉ ููŠ ุญุงู„ุฉ ุนุงู…ู„ุฉ ุฅุฐุง ุงู„ู…ูƒุงู† ุชุจุนู‡ N ุจู„ุณ
1384
+
1385
+ 347
1386
+ 00:30:06,570 --> 00:30:09,450
1387
+ 1 2 ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ู…ุฎุชุงุฑ ู…ุฑุชุจุท ุญูƒูŠู†ุง ุฅูŠุด ุงู„ position
1388
+
1389
+ 348
1390
+ 00:30:11,720 --> 00:30:16,720
1391
+ ุชุจุนู‡ ุงู„ู€ equation ุนุจุงุฑุฉ ุนู† n plus one over two ู‡ุฐุง
1392
+
1393
+ 349
1394
+ 00:30:16,720 --> 00:30:21,460
1395
+ ู„ูˆ ูƒุงู†ุช n is odd ุฅุฐุง ูƒุงู† even ุจู†ุงุฎุฏ ุงู„ู€ middle ุงู„
1396
+
1397
+ 350
1398
+ 00:30:21,460 --> 00:30:25,000
1399
+ average ู„ two middle points ุทุจุนุง ุงู„ two middle
1400
+
1401
+ 351
1402
+ 00:30:25,000 --> 00:30:37,620
1403
+ points ุงู„ู„ูŠ ุทู„ุน ุนู„ูŠู‡ู… ู‡ู†ุง suppose
1404
+
1405
+ 352
1406
+ 00:30:37,620 --> 00:30:42,820
1407
+ we have this dataุงู„ุงู† even ุงูˆ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1408
+
1409
+ 353
1410
+ 00:30:42,820 --> 00:30:44,880
1411
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1412
+
1413
+ 354
1414
+ 00:30:44,880 --> 00:30:45,380
1415
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1416
+
1417
+ 355
1418
+ 00:30:45,380 --> 00:30:51,420
1419
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1420
+
1421
+ 356
1422
+ 00:30:51,420 --> 00:30:53,600
1423
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1424
+
1425
+ 357
1426
+ 00:30:53,600 --> 00:30:53,700
1427
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1428
+
1429
+ 358
1430
+ 00:30:53,700 --> 00:30:53,740
1431
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1432
+
1433
+ 359
1434
+ 00:30:53,740 --> 00:30:54,860
1435
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1436
+
1437
+ 360
1438
+ 00:30:54,860 --> 00:30:56,060
1439
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1440
+
1441
+ 361
1442
+ 00:30:56,060 --> 00:30:59,120
1443
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1444
+
1445
+ 362
1446
+ 00:30:59,120 --> 00:31:05,200
1447
+ ุบูŠุฑ ุบูŠุฑ ุบูŠุฑ
1448
+
1449
+ 363
1450
+ 00:31:05,200 --> 00:31:08,360
1451
+ ุบูŠุฑ ุบ
1452
+
1453
+ 364
1454
+ 00:31:11,670 --> 00:31:20,710
1455
+ ู‚ูŠู…ุฉ ุงู„ู€ x3 ุนุจุงุฑุฉ ุนู† 9 ูˆุงู„ุชุงู†ูŠุฉ ุนุจุงุฑุฉ ุนู† 2 9 plus
1456
+
1457
+ 365
1458
+ 00:31:20,710 --> 00:31:28,530
1459
+ 12 ุนุจุงุฑุฉ ุนู† 2 21 ูŠุนู†ูŠ 10.5 ุฒูŠ ุงู„ medium 10.5 ุทูŠุจ x
1460
+
1461
+ 366
1462
+ 00:31:28,530 --> 00:31:33,170
1463
+ ุชู„ุงุชุฉ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ู…ูˆุฌุฉ ุงู„ุชุงู„ุช x4 ู…ูˆุฌุฉ ุงู„ุฑุงุจุน ูƒูŠู
1464
+
1465
+ 367
1466
+ 00:31:33,170 --> 00:31:41,950
1467
+ ุทู„ุนู†ุง ุงู„ุชู„ุงุชุฉ ุงู„ุงู† 6 ู…ุธุจูˆุท ูุงู† ุน 2ุจุชู‚ุนุฏ ุงูƒุณ ุณุชุฉ ุน
1468
+
1469
+ 368
1470
+ 00:31:41,950 --> 00:31:45,410
1471
+ ุงุชู†ูŠู† ุงู„ุชู„ุงุชุฉ ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ ู‡ูˆ ุงูƒุณ
1472
+
1473
+ 369
1474
+ 00:31:45,410 --> 00:31:49,290
1475
+ ุงุฑุจุนุฉ ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงูƒุณ ุงู† ุน ุงุชู†ูŠู† ูˆ ุฒุงุฆุฏ
1476
+
1477
+ 370
1478
+ 00:31:49,290 --> 00:31:54,150
1479
+ ูˆุงุญุฏ ูู„ู…ุง ุจูƒูˆู† ุนู†ุฏู‰ even number ุงู„ position ุจูƒูˆู†
1480
+
1481
+ 371
1482
+ 00:31:54,150 --> 00:31:58,690
1483
+ ุงู† ุน ุงุชู†ูŠู† ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู† ุน ุงุชู†ูŠู† in the next
1484
+
1485
+ 372
1486
+ 00:31:58,690 --> 00:32:06,110
1487
+ number ูŠุนู†ูŠ ู„ูˆ ู…ุซู„ุฉ ุฒูŠ ู‡ูŠูƒ ู…ู† ูˆุงุญุฏ ู„ุบุงูŠุฉ ู…ูŠุฉ ูŠุนู†ูŠ
1488
+
1489
+ 373
1490
+ 00:32:06,110 --> 00:32:09,610
1491
+ ุงู† ุจุงู„ุณุจุน ุนุดุฑ ู…ุด ู‡ูŠูƒุงู„ู€ median ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„
1492
+
1493
+ 374
1494
+ 00:32:09,610 --> 00:32:16,510
1495
+ position ุชุจุนู‡ู… N ุน 2 ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ู…ูŠู† N ุน 2ุŸ ู‡ุงูŠ N
1496
+
1497
+ 375
1498
+ 00:32:16,510 --> 00:32:23,350
1499
+ ุน 2 ุนุดุฑุฉ ุน ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ุณุงุฏุณุฉ ุฎู…ุณุฉ ูˆ
1500
+
1501
+ 376
1502
+ 00:32:23,350 --> 00:32:32,080
1503
+ ุงู„ุณุงุฏุณุฉ ุฎู„ุงุตุŸ ุฅุฐุง the mean is the averageุงู„ู…ุนู†ู‰ ู‡ูŠ
1504
+
1505
+ 377
1506
+ 00:32:32,080 --> 00:32:36,220
1507
+ ุนุฏุฏ ุงู„ู…ู‚ุงูˆู…ุงุช ุงู„ู…ู‚ุงูˆู…ุฉ ุจุงู„ู€ N ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ
1508
+
1509
+ 378
1510
+ 00:32:36,220 --> 00:32:38,980
1511
+ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุจุนุฏ ุฃู†ู†ุง ู‚ู…ู†ุง ุจุชุฌู‡ูŠุฒ ุงู„ุจูŠุงู†ุงุช ู…ู† ุฃูƒุชุฑ
1512
+
1513
+ 379
1514
+ 00:32:38,980 --> 00:32:44,920
1515
+ ุฅู„ู‰ ุฃูƒุชุฑ ุฃูˆ ุฃูƒุชุฑ ุฅู„ู‰ ุฃูƒุชุฑ ุฅุฐุง ูƒุงู†ุช N ุบูŠุฑ ู…ุญุฏูˆุฏุฉุŒ
1516
+
1517
+ 380
1518
+ 00:32:44,920 --> 00:32:48,980
1519
+ ูู…ู‚ุงูˆู…ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ูŠ N plus one over two ุฅู„ุง ุฅุฐุง
1520
+
1521
+ 381
1522
+ 00:32:48,980 --> 00:32:52,080
1523
+ ูƒุงู†ุช N ู…ุฑุชุจุทุฉุŒ ูู…ู‚ุงูˆู…ุฉ ุงู„ู€ N ู‡ูŠ ุนุฏุฏ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠู†
1524
+
1525
+ 382
1526
+ 00:32:52,080 --> 00:32:54,420
1527
+ ุงู„ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠู† ุงู„ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุฉ
1528
+
1529
+ 383
1530
+ 00:32:54,420 --> 00:33:03,830
1531
+ ุงู„ู…ู‚ุงูˆู…ุฉ ููŠ ุงู„ู…ูˆู‚ุนxn2 ูˆุงู„ุชุงู„ูŠ xn2 plus 1 ู…ุซู„ู‹ุง ู…ุฑุฉ
1532
+
1533
+ 384
1534
+ 00:33:03,830 --> 00:33:10,390
1535
+ ุฃุฎุฑู‰ุŒ ูุฅู† ุงู„ู€ n ู‡ูˆ 20ุŒ ูู…ุงุฐุง
1536
+
1537
+ 385
1538
+ 00:33:10,390 --> 00:33:15,070
1539
+ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ุชูˆุณุทุฉุŸ
1540
+
1541
+ 386
1542
+ 00:33:15,070 --> 00:33:22,730
1543
+ ุงู„ู€ n 20 ูŠุนู†ูŠ ุฃู† ู‡ู†ุงูƒ ู…ู‚ุงูˆู…ุฉ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ n
1544
+
1545
+ 387
1546
+ 00:33:22,730 --> 00:33:27,650
1547
+ ุนู„ู‰ 2 ูˆ ุงู„ู„ูŠ ุจุนุฏู‡N ุน 2 ูŠุนู†ูŠ ุนุดุฑุฉ ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ 11
1548
+
1549
+ 388
1550
+ 00:33:27,650 --> 00:33:31,990
1551
+ ุฅุฐุง ุงู„ positions ู„ู„ median ุนุดุฑุฉ ูˆ 11 ุจูŠุงุฎุฏ ุงู„
1552
+
1553
+ 389
1554
+ 00:33:31,990 --> 00:33:35,650
1555
+ average ุชุจุน ุงู„ values ูˆ ุจุฌุณู… ุน 2 ูˆ ูˆู‚ุช ุฌุณู… ุน 10 ูˆ
1556
+
1557
+ 390
1558
+ 00:33:35,650 --> 00:33:42,010
1559
+ 11 ุน 2 ู‡ุฏูˆู„ ุงู„ู…ูƒุงู† ุงู„ location ุฎู„ุงุต ุทุจ ู„ูˆ ูƒุงู† N
1560
+
1561
+ 391
1562
+ 00:33:42,010 --> 00:33:52,650
1563
+ ุจุชุณุงูˆูŠ 21 N odd ุงู„ู…ูƒุงู† ุงู„ู„ูŠ N ุฒูŠ 1 ุน 2 ุงู„ู…ูƒุงู† ุฑู‚ู…
1564
+
1565
+ 392
1566
+ 00:33:52,650 --> 00:33:59,680
1567
+ 11 ู‡ุฐุง ุฎู„ูŠ ุจุงู„ูƒis the position of the media ุงูŠู‡ ุฏู‡
1568
+
1569
+ 393
1570
+ 00:33:59,680 --> 00:34:08,760
1571
+ position ุงูŠู‡ ุฏู‡ ู‡ูŠูƒ position ุงู„ู…ูƒุงู† ุงู„ุตุจุงุต
1572
+
1573
+ 394
1574
+ 00:34:08,760 --> 00:34:12,020
1575
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1576
+
1577
+ 395
1578
+ 00:34:12,020 --> 00:34:14,060
1579
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1580
+
1581
+ 396
1582
+ 00:34:14,060 --> 00:34:14,060
1583
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1584
+
1585
+ 397
1586
+ 00:34:14,060 --> 00:34:14,060
1587
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1588
+
1589
+ 398
1590
+ 00:34:14,060 --> 00:34:20,940
1591
+ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰ ุจูŠุจู‚ู‰
1592
+
1593
+ 399
1594
+ 00:34:20,940 --> 00:34:23,860
1595
+ ุจูŠุจ
1596
+
1597
+ 400
1598
+ 00:34:26,580 --> 00:34:32,760
1599
+ ุฎู…ุณ ุฒูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุชุฑุชูŠู† ุงู„ูƒู„ุงู… ุฏู‡ ู…ุด ุตุญ ู„ูŠุด
1600
+
1601
+ 401
1602
+ 00:34:32,760 --> 00:34:38,560
1603
+ ู„ุงุฒู… ู†ุฑุชุจู‡ู… ุงู„ุฃูˆู„ ุงุญู†ุง ุญูƒูŠู†ุง ู‡ุงูŠ ุงู„ุชุนุฑูŠู ุฏู‡
1604
+
1605
+ 402
1606
+ 00:34:38,560 --> 00:34:44,260
1607
+ ุงู„ุชุนุฑูŠู ุงู„ median in
1608
+
1609
+ 403
1610
+ 00:34:44,260 --> 00:34:49,080
1611
+ an ordered array ููŠ ุงู„ู…ุตูˆูุฉ ุงู„ู…ุฑุชุจุฉ the median is
1612
+
1613
+ 404
1614
+ 00:34:49,080 --> 00:34:52,360
1615
+ the middle number ุฅุฐุง ุจู‚ู‰ ุฃู†ุง ูƒุฏู‡ ู„ุงุฒู…ุด ุฃุนู…ู„ ููŠ
1616
+
1617
+ 405
1618
+ 00:34:52,360 --> 00:34:55,680
1619
+ ุงู„ุฃูˆู„ ุฃุฑุชุจู‡ู… ููŠ ุงู„ุฃูˆู„ ู‡ูŠ thirteen ุงู„ุฃูˆู„
1620
+
1621
+ 406
1622
+ 00:35:03,200 --> 00:35:07,920
1623
+ ุงู„ู…ูƒุงู† ุงู„ุชุงู„ุช 16 ู…ุด 13 ูŠู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ we have to
1624
+
1625
+ 407
1626
+ 00:35:07,920 --> 00:35:11,100
1627
+ arrange the data from smallest to largest ุงูˆ
1628
+
1629
+ 408
1630
+ 00:35:11,100 --> 00:35:15,680
1631
+ largest to smallest ู„ุญุธุฉ ู„ูˆ ุฑุชุจุชู… ุจุงู„ุนูƒุณ ุนุดุฑูŠู†
1632
+
1633
+ 409
1634
+ 00:35:15,680 --> 00:35:20,260
1635
+ ุชุณุนุฉ ุนุดุฑ ุณุชุฉ ุนุดุฑ ุจุฑุถู‡ the median and the value in
1636
+
1637
+ 410
1638
+ 00:35:20,260 --> 00:35:25,480
1639
+ the middle we have the same value any question
1640
+
1641
+ 411
1642
+ 00:35:28,460 --> 00:35:34,720
1643
+ ุงู„ู†ู‡ุงุฑ ูŠุชูƒู„ู… ุนู† ุซุงู„ุซ ู…ูŠุฌุงุฑ ู„ู„ุชู†ุฏู†ุณูŠุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุญุชู‰
1644
+
1645
+ 412
1646
+ 00:35:34,720 --> 00:35:39,000
1647
+ ุงู„ุขู† ุชูƒู„ู…ู†ุง ุนู† ุงุชู†ูŠู† ู…ูŠุฌุงุฑูŠู† ู…ูŠู† ูˆู…ูŠุฏูŠุงู† ุซุงู„ุซ
1648
+
1649
+ 413
1650
+ 00:35:39,000 --> 00:35:44,880
1651
+ ู…ูŠุฌุงุฑ ูŠุณู…ู‰ ุงู„ mood ุงู„ mood ูŠุนู†ูŠ ู…ู† ุฃูŠู†ุŸ ู‡ูˆ ููŠ ู†ู…ุท
1652
+
1653
+ 414
1654
+ 00:35:44,880 --> 00:35:50,480
1655
+ ู„ูƒู† ููŠ ู„ุญุธุฉ ู…ุนู†ุงู‡ ู…ู† ุฃูŠู†ุŸ
1656
+
1657
+ 415
1658
+ 00:35:50,480 --> 00:35:54,940
1659
+ ุฅุฐุง
1660
+
1661
+ 416
1662
+ 00:35:54,940 --> 00:35:55,960
1663
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ mean
1664
+
1665
+ 417
1666
+ 00:35:59,170 --> 00:36:05,950
1667
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ median number three mode ุงู„ู…ู†ูˆุงู„
1668
+
1669
+ 418
1670
+ 00:36:05,950 --> 00:36:16,090
1671
+ ุงู„ู…ู†ูˆุงู„ ุชุนุฑูŠูู‡ value that you care most often ูŠุนู†ูŠ
1672
+
1673
+ 419
1674
+ 00:36:16,090 --> 00:36:19,730
1675
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุจุชุชูƒุฑุฑ ุฃูƒุชุฑ ุดูŠุก ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุชุฑ ุชูƒุฑุงุฑ
1676
+
1677
+ 420
1678
+ 00:36:19,730 --> 00:36:27,210
1679
+ not affected by extreme valuesุจุชุฃุซุฑุด ุฒูŠ ุงู„ mean ูˆ
1680
+
1681
+ 421
1682
+ 00:36:27,210 --> 00:36:30,470
1683
+ ุงู„ median ุงู„ mean ุจุชุฃุซุฑ ุงู„ median ุจุชุฃุซุฑ ุจุณ ุฃู‚ู„
1684
+
1685
+ 422
1686
+ 00:36:30,470 --> 00:36:34,130
1687
+ ุงู„ุชุฃุซูŠุฑ ู…ู† ุงู„ median ุจุณ ู‡ุฐุง not affected by
1688
+
1689
+ 423
1690
+ 00:36:34,130 --> 00:36:39,370
1691
+ extreme values ุจุชุฃุซุฑุด ุงู„ mean ูˆ ุงู„ median are used
1692
+
1693
+ 424
1694
+ 00:36:39,370 --> 00:36:43,190
1695
+ only for numerical data ู„ู„ุจูŠุงู†ุงุช ุงู„ุฑู‚ู…ูŠุฉ ุฒูŠ ุงู„ age
1696
+
1697
+ 425
1698
+ 00:36:43,190 --> 00:36:50,410
1699
+ ุงู„ weight ุงู„ score ูˆ ู‡ูƒุฐุง ุงู„ mode is used for
1700
+
1701
+ 426
1702
+ 00:36:50,410 --> 00:36:54,140
1703
+ either numerical or categorical dataูŠุง ุจู†ูุน
1704
+
1705
+ 427
1706
+ 00:36:54,140 --> 00:36:57,660
1707
+ ุงุณุชุฎุฏู…ู‡ ู„ู„ุฑู‚ู… ูˆุงู„ูˆุตู ุฒูŠ ุงู„ู€ gender ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡
1708
+
1709
+ 428
1710
+ 00:36:57,660 --> 00:37:02,520
1711
+ ููŠ ุงู„ุฃูˆู„ ุฅุฐุง ุงู„ู…ูŠุฒุฉ ุงู„ุฌูŠุฏุฉ ู„ู„ู…ูˆุฏ ุงู†ู‡ ูŠุณุชุฎุฏู… .. not
1712
+
1713
+ 429
1714
+ 00:37:02,520 --> 00:37:06,160
1715
+ affected by outliers or extreme values and can be
1716
+
1717
+ 430
1718
+ 00:37:06,160 --> 00:37:12,120
1719
+ used for both numerical and categorical data there
1720
+
1721
+ 431
1722
+ 00:37:12,120 --> 00:37:16,440
1723
+ are maybe sometimes there may be no .. no mood
1724
+
1725
+ 432
1726
+ 00:37:16,440 --> 00:37:20,260
1727
+ ู…ู…ูƒู† ู…ุงููŠุด mood ู…ุด ุฏู‡ ู…ุด ุถุฑูˆุฑูŠ ูŠูƒูˆู† ููŠู‡ mood ุงูˆ
1728
+
1729
+ 433
1730
+ 00:37:20,260 --> 00:37:25,290
1731
+ ูˆูŠู† ูˆุฌุฏ it could be uniqueูŠุนู†ูŠ ูˆุงุญุฏ ุฃูˆ ููŠ ุจุนุถ
1732
+
1733
+ 434
1734
+ 00:37:25,290 --> 00:37:31,050
1735
+ ุงู„ุฃุญูŠุงู† ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูƒ ุฃูƒุชุฑ ู…ู† ู…ูˆุถูˆุน ุงุฐุง ุงู„ู…ูˆุถูˆุน
1736
+
1737
+ 435
1738
+ 00:37:31,050 --> 00:37:39,110
1739
+ ุฃูƒุชุฑ ู…ุณุชู…ุฑ ุฃูˆ ุฃูƒุชุฑ ุญุฏูˆุซ ู‚ูŠู…ุฉ ุงู„ุฃูƒุชุฑ ุธู‡ูˆุฑุง ุฃูˆ ุฃูƒุชุฑ
1740
+
1741
+ 436
1742
+ 00:37:39,110 --> 00:37:43,310
1743
+ ุชูƒุฑุงุฑุง ุฃูˆ ุฃูƒุชุฑ ุญุฏูˆุซุง ู„ูˆ ุทู„ุนุช ุน ุงู„ data ุงู„ู„ูŠ ู‡ู†ุง
1744
+
1745
+ 437
1746
+ 00:37:43,310 --> 00:37:47,450
1747
+ ู†ุญู†
1748
+
1749
+ 438
1750
+ 00:37:47,450 --> 00:37:53,140
1751
+ ู„ุง ู„ุฏูŠู†ุง ู†ู‚ุทุฉ ูˆุงุญุฏุฉ ุฃูƒุชุฑ ู…ุฑุฉ3 ู…ุฑุฉุŒ 5 ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 8
1752
+
1753
+ 439
1754
+ 00:37:53,140 --> 00:37:57,440
1755
+ ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 10 ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 12 ู…ุฑุฉ ู…ุฑุชูŠู†ุŒ 13 ู…ุฑุฉ
1756
+
1757
+ 440
1758
+ 00:37:57,440 --> 00:38:02,280
1759
+ ู…ุฑุชูŠู† ูˆ14 ู…ุฑุฉ ู…ุฑุชูŠู† ุงู„ุฃู† ู…ุงู‡ูŠ ุฃูƒุชุฑ ู‚ูŠู…ุฉ ู…ุนู„ูˆู…ุฉ
1760
+
1761
+ 441
1762
+ 00:38:02,280 --> 00:38:04,320
1763
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1764
+
1765
+ 442
1766
+ 00:38:04,320 --> 00:38:07,320
1767
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1768
+
1769
+ 443
1770
+ 00:38:07,320 --> 00:38:07,460
1771
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1772
+
1773
+ 444
1774
+ 00:38:07,460 --> 00:38:08,520
1775
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1776
+
1777
+ 445
1778
+ 00:38:08,520 --> 00:38:08,520
1779
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ
1780
+
1781
+ 446
1782
+ 00:38:08,520 --> 00:38:18,560
1783
+ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…ุฉ ู…ุนู„ูˆู…
1784
+
1785
+ 447
1786
+ 00:38:20,330 --> 00:38:30,930
1787
+ ู…ุซู„ ู‡ุฐุง ุงู„ู…ุซุงู„ ู‡ู†ุง ู†ุญู† ู„ุฏูŠู†ุง 1 3 4 2 5 3 9 10 12
1788
+
1789
+ 448
1790
+ 00:38:30,930 --> 00:38:39,470
1791
+ 12 13 ูˆ 14 9 ู…ู…ูƒู† 3 ู…ุฑุงุช ูุงู„ุญุจ 9 ูููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1792
+
1793
+ 449
1794
+ 00:38:39,470 --> 00:38:48,350
1795
+ ูู‡ู†ุงูƒ ูู‚ุท ุญุจ ูˆุงุญุฏ ูุงู„ุญุจ 9 ู„ู„ู…ุซุงู„
1796
+
1797
+ 450
1798
+ 00:38:48,350 --> 00:38:57,790
1799
+ ุงู„ุขุฎุฑู†ุญู† ู„ุฏูŠู†ุง 0ุŒ 1ุŒ 2ุŒ 3ุŒ 5 ูˆ6 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูƒู„
1800
+
1801
+ 451
1802
+ 00:38:57,790 --> 00:39:03,330
1803
+ ู‚ูŠู…ุฉ ุชุญุฏุซ ู…ุฑุฉ ูˆุงุญุฏุฉ ู‡ุฐุง ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู„ูŠุณ
1804
+
1805
+ 452
1806
+ 00:39:03,330 --> 00:39:12,370
1807
+ ู‡ู†ุงูƒ ู…ูˆุถูˆุน ุทุจ ู„ูˆ ุฒูˆุฏุช ูˆุงุญุฏุฉ ู‡ู†ุง
1808
+
1809
+ 453
1810
+ 00:39:12,370 --> 00:39:15,550
1811
+ ู…ุน
1812
+
1813
+ 454
1814
+ 00:39:15,550 --> 00:39:21,620
1815
+ ูƒุฏู‡ two modes ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎู…ุณุฉ ูˆุงู„ุชุณุนุฉfive ูˆ nine ุทุจ
1816
+
1817
+ 455
1818
+ 00:39:21,620 --> 00:39:27,060
1819
+ ู„ูˆ ุฌูŠุช ู‡ู†ุง ุฒูˆุฏุช ูˆุงุญุฏุฉ ู„ู„ุณุชุฉ ุจุตูŠุฑ ุงู„ุณุชุฉ ู‡ูŠ ุงู„ mode
1820
+
1821
+ 456
1822
+ 00:39:27,060 --> 00:39:33,740
1823
+ ู…ุตุจูˆุฑุŸ ู„ุฃู† ุงู„ุณุชุฉ ู‡ูŠ ุงู„ุฃูƒุชุฑ ุชูƒุฑุงุฑ ู…ุฑุชูŠู† ุทุจ ู„ูˆ ูƒุฑุฑุช
1824
+
1825
+ 457
1826
+ 00:39:33,740 --> 00:39:40,800
1827
+ ู‡ูŠูƒ ุตุงุฑ ุงู„ุฃุชู†ูŠู† ูˆุงู„ุชู„ุงุชุฉ ูˆุงู„ุณุชุฉ ู‡ู…ุง ุงู„ modes ุฅุฐุง
1828
+
1829
+ 458
1830
+ 00:39:40,800 --> 00:39:45,280
1831
+ ู…ู…ูƒู† ูŠูƒูˆู† there is only one mode or sometimes the
1832
+
1833
+ 459
1834
+ 00:39:45,280 --> 00:39:48,340
1835
+ mode does not exist ุฃูˆ there are
1836
+
1837
+ 460
1838
+ 00:39:51,720 --> 00:39:57,480
1839
+ ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุงูˆ ุบูŠุฑ ู…ูˆุฌูˆุฏ ู…ู…ูƒู†
1840
+
1841
+ 461
1842
+ 00:39:57,480 --> 00:40:02,000
1843
+ ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุงูˆ ุบูŠุฑ ู…ูˆุฌูˆุฏ ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุงูˆ ุบูŠุฑ
1844
+
1845
+ 462
1846
+ 00:40:02,000 --> 00:40:06,440
1847
+ ู…ูˆุฌูˆุฏ ุฏุนูˆู†ุง
1848
+
1849
+ 463
1850
+ 00:40:06,440 --> 00:40:08,860
1851
+ ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง
1852
+
1853
+ 464
1854
+ 00:40:08,860 --> 00:40:09,360
1855
+ ุงู„ู…ุซุงู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ
1856
+
1857
+ 465
1858
+ 00:40:09,360 --> 00:40:09,640
1859
+ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„
1860
+
1861
+ 466
1862
+ 00:40:09,640 --> 00:40:12,700
1863
+ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰
1864
+
1865
+ 467
1866
+ 00:40:12,700 --> 00:40:12,760
1867
+ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ
1868
+
1869
+ 468
1870
+ 00:40:12,760 --> 00:40:13,400
1871
+ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„
1872
+
1873
+ 469
1874
+ 00:40:13,400 --> 00:40:15,800
1875
+ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰
1876
+
1877
+ 470
1878
+ 00:40:15,800 --> 00:40:19,640
1879
+ ู‡ุฐุง ุงู„ู…ุซู„ ุฏุน
1880
+
1881
+ 471
1882
+ 00:40:19,720 --> 00:40:25,640
1883
+ 100 ูˆ100 ูˆุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
1884
+
1885
+ 472
1886
+ 00:40:25,640 --> 00:40:29,020
1887
+ ุงู„ุงู†ุชุฌุงุฑ
1888
+
1889
+ 473
1890
+ 00:40:29,020 --> 00:40:35,600
1891
+ ู‡ูˆ ุงุถุงูุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู… ุซู… ู†ู‚ู„ ู…ู† ุนุฏุฏ ุงู„ู…ู†ุฒู„ ุงู„ุงู†ุชุฌุงุฑ
1892
+
1893
+ 474
1894
+ 00:40:35,600 --> 00:40:44,320
1895
+ ุชุจุนู‡ู… ุนู„ู‰ ุฃุฏุฏู‡ู… ูˆุงุถุญ ู…ุฌู…ูˆุญู‡ู… 3 ู…ู„ูŠูˆู† ู†ู‚ู„ ู…ู† 5 ูŠุนู†ูŠ
1896
+
1897
+ 475
1898
+ 00:40:44,320 --> 00:40:51,320
1899
+ 600000 ุฅุฐุง ุงู„ุงู†ุชุฌุงุฑ ุชุจุนู‡ู… 600000ุงู„ู…ูŠุฏูŠุงู† ูŠ๏ฟฝ๏ฟฝุจ ุฃู†
1900
+
1901
+ 476
1902
+ 00:40:51,320 --> 00:40:53,820
1903
+ ู†ุฎู„ู‚ู‡ ู…ู† ุฃูƒุจุฑ ุฅู„ู‰ ุฃูƒุจุฑ ุฃูˆ ุฃูƒุจุฑ ุฅู„ู‰ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
1904
+
1905
+ 477
1906
+ 00:40:53,820 --> 00:40:56,540
1907
+ ุฅู„ู‰ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ
1908
+
1909
+ 478
1910
+ 00:40:56,540 --> 00:40:57,880
1911
+ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1912
+
1913
+ 479
1914
+ 00:40:57,880 --> 00:40:59,820
1915
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1916
+
1917
+ 480
1918
+ 00:40:59,820 --> 00:41:03,880
1919
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1920
+
1921
+ 481
1922
+ 00:41:03,880 --> 00:41:06,180
1923
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1924
+
1925
+ 482
1926
+ 00:41:06,180 --> 00:41:06,500
1927
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1928
+
1929
+ 483
1930
+ 00:41:06,500 --> 00:41:06,500
1931
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู†
1932
+
1933
+ 484
1934
+ 00:41:06,500 --> 00:41:16,000
1935
+ ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒุจุฑ ู…ู† ุฃูƒ
1936
+
1937
+ 485
1938
+ 00:41:17,180 --> 00:41:20,660
1939
+ ุงู„ู€ mean ู„ุฃู†ู‡ ุฃุฎุฐ ูƒู„ ุงู„ู€ values ูุชุฃุซุฑ ุจุงู„ู€ mean
1940
+
1941
+ 486
1942
+ 00:41:20,660 --> 00:41:24,700
1943
+ ุจุงู„ู€ extreme ุจุงู„ู€ 200 ุฃู„ู ูˆ ุจุงู„ู€ 2 ู…ู„ูŠูˆู† ูˆ ุชุฃุซุฑ
1944
+
1945
+ 487
1946
+ 00:41:24,700 --> 00:41:27,980
1947
+ ุจุงู„ู€ 100 ุฃู„ู ุงู„ู„ูŠ ุชุญุช ู„ุฃู†ู‡ ุชุนุชุจุฑ 100 ุจุนูŠุฏุฉ ุนู† ุงู„ู€
1948
+
1949
+ 488
1950
+ 00:41:27,980 --> 00:41:30,400
1951
+ 2 ู…ู„ูŠูˆู† ูˆ ุงู„ู€ 2 ู…ู„ูŠูˆู† ุจุนูŠุฏุฉ ุนู† ุงู„ูƒู„ ุจุงู„ุชุงู„ูŠ ู‡ูˆ
1952
+
1953
+ 489
1954
+ 00:41:30,400 --> 00:41:35,620
1955
+ ุชุฃุซุฑ ุจุงู„ู€ 2 ู…ู„ูŠูˆู† ุฃูƒุชุฑ ูุงู„ู€ median ุทู„ุน 300 ุฃู„ู ุทุจ
1956
+
1957
+ 490
1958
+ 00:41:35,620 --> 00:41:39,160
1959
+ ุงู„ู…ูˆุถ is the most frequent value ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูƒุซุฑ
1960
+
1961
+ 491
1962
+ 00:41:39,160 --> 00:41:43,880
1963
+ ุชูƒุฑุงุฑ ุฃูƒุชุฑ ูˆุงุญุฏุฉ ูƒุฑุฑุฉ 100 ุฃู„ู ู„ุญุธุฉ ุฃู† ุงู„ุขู† three
1964
+
1965
+ 492
1966
+ 00:41:43,880 --> 00:41:47,760
1967
+ different measures for center tendencymain,
1968
+
1969
+ 493
1970
+ 00:41:48,060 --> 00:41:54,300
1971
+ median, mode ุงู„ุงู† ุงู„ุณุคุงู„ ู‡ูˆ ุงูŠู‡ ุงู„ู…ู‚ูŠุงุณ ุงู„ู„ูŠ ู„ุงุฒู…
1972
+
1973
+ 494
1974
+ 00:41:54,300 --> 00:41:59,320
1975
+ ุงุณุชุฎุฏู…ู‡ ู‡ู„ ู‡ูˆ ุงู„ main ูˆ ู„ุง ุงู„ median ูˆ ู„ุง ุงู„ mode
1976
+
1977
+ 495
1978
+ 00:41:59,320 --> 00:42:03,800
1979
+ ุงู† ุดุงุก ุงู„ู„ู‡ for next time ุงุฐุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ู‡ุชูƒู„ู…
1980
+
1981
+ 496
1982
+ 00:42:03,800 --> 00:42:10,660
1983
+ ุนู„ู‰ ู…ูŠู† ุงูุถู„ ู…ู‚ูŠุงุณ ููŠ ู‡ุฏูˆู„ ูˆ ุจุนุฏูŠู† ุจู†ูƒู…ู„ ุฎู„ุงุต
1984
+
1985
+ 497
1986
+ 00:42:10,660 --> 00:42:15,920
1987
+ ุนู†ุฏู†ุง two slides ุจุณ ู…ูˆุฌูˆุฏุงุช ูˆ ุจุนุฏูŠู† ู†ุจุฏุฃ ููŠ ุงู„
1988
+
1989
+ 498
1990
+ 00:42:15,920 --> 00:42:16,900
1991
+ measures of variation
1992
+
1993
+ 499
1994
+ 00:42:20,030 --> 00:42:22,550
1995
+ Any questionุŸ ุงู„ู„ู‡ ุฃูƒุจุฑ
1996
+
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@@ -0,0 +1,1840 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,110 --> 00:00:24,690
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…. ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ุจุฏุฃ
4
+
5
+ 2
6
+ 00:00:24,690 --> 00:00:31,890
7
+ ุจู‚ุตุฉ ุฌุฏูŠุฏุฉ. ุงู„ู‚ุตุฉ ุงู„ุณุงุฏุณุฉ ุชุชูƒู„ู… ุนู† ู…ูˆุถูˆุน ุฌุฏูŠุฏ.
8
+
9
+ 3
10
+ 00:00:33,210 --> 00:00:34,630
11
+ ุชุชูƒู„ู… ุนู† ู…ุฌู…ูˆุนุฉ ุงู„ุชุฌุงุฑุจ.
12
+
13
+ 4
14
+ 00:00:58,240 --> 00:01:05,180
15
+ ุจุงู„ุนุฑุจูŠ ู…ุนู†ุงู‡ ุงู„ุชูˆุฒูŠุนุงุช ุงู„ู…ุนูŠู†ุฉ in this chapter
16
+
17
+ 5
18
+ 00:01:05,180 --> 00:01:11,220
19
+ there are three objectives the first one talks
20
+
21
+ 6
22
+ 00:01:11,220 --> 00:01:16,220
23
+ about the concept of the semi distribution what
24
+
25
+ 7
26
+ 00:01:16,220 --> 00:01:21,290
27
+ does semi distribution meanุงู„ุซุงู†ูŠ ู‡ูˆ ุชุฌุงุฑุจ
28
+
29
+ 8
30
+ 00:01:21,290 --> 00:01:26,190
31
+ ุงู„ูˆุงู‚ุนุงุช ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ูˆู…ู‚ุงุฑู†ุฉ
32
+
33
+ 9
34
+ 00:01:26,190 --> 00:01:28,610
35
+ ุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ุŒ ู„ุฐู„ูƒ ุงู„ู‡ุฏู ุงู„ุซุงู†ูŠ ูŠุญุชูˆูŠ ุนู„ู‰
36
+
37
+ 10
38
+ 00:01:28,610 --> 00:01:33,930
39
+ ุงุชุตุงู„ูŠู† ูƒุชุฑ ุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ุงู„ูˆุงู‚ุนุงุช ุงู„ู…ุฑุชุจุทุฉ
40
+
41
+ 11
42
+ 00:01:33,930 --> 00:01:39,870
43
+ ุจุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉ ุฃูˆ ู…ู‚ุงุฑู†ุฉ ุงู„ู…ูŠุงู†ุงุช ุงู„ู…ุฌู…ูˆุนุฉุŸ
44
+
45
+ 12
46
+ 00:01:39,870 --> 00:01:49,100
47
+ ุงู„ู‡ุฏู ุงู„ุซุงู„ุซ ุงู„ู‡ุฏู ุงู„ุซุงู„ุซ ูŠุชุญุฏุซ ุนู† ู…ู‡ู…ุฉุงู„ุซูˆุฑุฉ
48
+
49
+ 13
50
+ 00:01:49,100 --> 00:01:53,480
51
+ ุงู„ุฌุฏูŠุฏุฉ ุงุณู…ู‡ุง ุงู„ู€ Central Limit Theorem ุณูˆู ู†ุชูƒู„ู…
52
+
53
+ 14
54
+ 00:01:53,480 --> 00:02:01,780
55
+ ุนู† ุงู„ู‡ุฏู ุงู„ุฃูˆู„ ูˆุดุฎุตูŠุฉ ุงู„ู‡ุฏู ุงู„ุซุงู†ูŠ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุจุฏุฃ
56
+
57
+ 15
58
+ 00:02:01,780 --> 00:02:07,860
59
+ ุจุงู„ู…ุดุงุฑูƒุงุช ุงู„ู…ุฑุชุจุทุฉ ุงู„ุฃุณุงุณูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู„ุฏูŠูƒ
60
+
61
+ 16
62
+ 00:02:07,860 --> 00:02:12,600
63
+ ุทุงู„ุจ ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง ุฎู…ุณูŠู† ุทุงู„ุจ
64
+
65
+ 17
66
+ 00:02:20,010 --> 00:02:27,850
67
+ ูˆุงู†ุง ู…ู‡ุชู… ุจุงู„ุฌุจู‡ุฉ ุงู„ูˆุญูŠุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ุทู„ุงุจ ู†ุจุญุซ ุนู†
68
+
69
+ 18
70
+ 00:02:27,850 --> 00:02:39,270
71
+ ุฌุจู‡ุฉ ุฌุจู‡ุฉ ุฌุจู‡ุฉ ุฌุจู‡ุฉ ุฌุงู…ุนุฉ ุฌุงู…ุนุฉ ุฌุงู…ุนุฉ
72
+
73
+ 19
74
+ 00:02:44,850 --> 00:02:49,110
75
+ ุงุณู…ู‡ GPA graduate point average ู…ุน ุงู„ู…ุนุงุฏู„ุฉ
76
+
77
+ 20
78
+ 00:02:49,110 --> 00:02:56,890
79
+ ุงู„ุชุฑุงูƒู… ู„ู„ุทุงู„ุจ ุงู„ scale ุชุจุนู‡ ู†ู‚ุงุท ู…ุนูŠู†ุฉ and
80
+
81
+ 21
82
+ 00:02:56,890 --> 00:02:59,310
83
+ suppose we are interested in the mean GPA
84
+
85
+ 22
86
+ 00:03:08,390 --> 00:03:11,110
87
+ ุฅุฐุง ุญุตู„ุช ุนู„ู‰ ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ุฃุฌู‡ุฒุฉ ู…ุฎุชู„ูุฉ ุจุญุฌู… 50
88
+
89
+ 23
90
+ 00:03:11,110 --> 00:03:15,830
91
+ ุณุชู‚ูˆู… ุจุชู‚ุงุท ู…ุฎุชู„ูุฉ ุฃุฌู‡ุฒุฉ ู…ุนูŠู†ุฉ ู„ูƒู„ ุฃุฌู‡ุฒุฉ ู„ุฃู† ุงูุชุฑุถ
92
+
93
+ 24
94
+ 00:03:15,830 --> 00:03:21,870
95
+ ุฃุฎุฏ ุฎู…ุณูŠู† student
96
+
97
+ 25
98
+ 00:03:21,870 --> 00:03:28,370
99
+ number one maybe his or her score is 3.5 the
100
+
101
+ 26
102
+ 00:03:28,370 --> 00:03:32,930
103
+ second student maybe 4 the third maybe 2.6 and so
104
+
105
+ 27
106
+ 00:03:32,930 --> 00:03:39,540
107
+ on ุงูุชุฑุถ ุงู† ุงู†ุง ู„ุฏูŠ ู‡ุฐู‡ ุงู„ุฃุฌู‡ุฒุฉ ุจุญุฌู… 50ูˆู‡ุฐู‡ ู…ู‚ุงุฑู†ุฉ
108
+
109
+ 28
110
+ 00:03:39,540 --> 00:03:46,440
111
+ ูู‚ุท ูŠุนู†ูŠ ุฎุฏ ุฏุฑุฌุฉ ุงู„ุทู„ุงุจ ู…ู† ุฃุฑุจุนุฉ ู„ุฎู…ุณูŠู† ุทุงู„ุจ ูˆุทู„ุนุช
112
+
113
+ 29
114
+ 00:03:46,440 --> 00:03:52,340
115
+ ุงู„ average ู„ู‡ู… ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง
116
+
117
+ 30
118
+ 00:03:52,340 --> 00:03:55,480
119
+ ูู…ุซู„ู‹ุง
120
+
121
+ 31
122
+ 00:03:55,480 --> 00:04:02,500
123
+ ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง ูู…ุซู„ู‹ุง
124
+
125
+ 32
126
+ 00:04:04,940 --> 00:04:07,740
127
+ ุฃุฎุฏุช ุนูŠู†ุฉ ุญุฌู…ู‡ุง 50 ุซุงู†ูˆูŠุฉ ูƒู„ ูˆุงุญุฏ ู…ุด ู…ุนุฏู„ุฉ ูˆ
128
+
129
+ 33
130
+ 00:04:07,740 --> 00:04:13,040
131
+ ุฃุนุทุงู†ูŠู‡ุง ุทู„ุนุช ุงู„ average ุฃุฎุฏุช sample ุชุงู†ูŠุฉ ู‡ุฐู‡ ุงู„
132
+
133
+ 34
134
+ 00:04:13,040 --> 00:04:17,120
135
+ sample number one another
136
+
137
+ 35
138
+ 00:04:17,120 --> 00:04:24,300
139
+ sample of the same size ู…ู…ูƒู† ุงู„ุฃูˆู„ ูŠูƒูˆู† 2.6 ู…ู…ูƒู†
140
+
141
+ 36
142
+ 00:04:24,300 --> 00:04:30,560
143
+ ุงู„ุชุงู†ูŠ ูŠูƒูˆู† 3.6 ู…ู…ูƒู† 4 ู…ู…ูƒู† 2.9 and so on ุฃูƒูŠุฏ ู„ูˆ
144
+
145
+ 37
146
+ 00:04:30,560 --> 00:04:32,840
147
+ ุฃุฎุฏุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ู…ุด ุจุงู„ุถุฑุฑ ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ average ู…ุด
148
+
149
+ 38
150
+ 00:04:32,840 --> 00:04:37,380
151
+ ู‡ูŠูƒุŸูŠุนู†ูŠ ู„ูˆ ุฃุฎุฏุช ุนูŠู†ุฉ ู…ู†ูƒู… ุจู€ size 20 ูˆ ุทู„ุนุช
152
+
153
+ 39
154
+ 00:04:37,380 --> 00:04:43,240
155
+ ู…ุนุฏู„ูƒู… ุทู„ุน ู†ูุทุฑุช 75 ู„ูˆ ุฃุฎุฏุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ุจู†ูุณ ุงู„ุญุฌู…
156
+
157
+ 40
158
+ 00:04:43,240 --> 00:04:48,960
159
+ ู…ุด ุจุฏู„ู†ุง ู†ุนุทูŠ 75 ูู…ู…ูƒู† ูŠุนุทูŠ average ู…ุฎุชู„ู ูˆูŠู‚ูˆู„ 3
160
+
161
+ 41
162
+ 00:04:48,960 --> 00:05:00,880
163
+ .2 ู„ูˆ ุฃุฎุฏุช ุนูŠู†ุฉ ุชุงู†ูŠุฉ ูˆ ุชุงู„ุชุฉ ูˆ ุฃุฎุฏุช 100 ุนูŠู†ุฉ ุฃูƒูŠุฏ
164
+
165
+ 42
166
+ 00:05:00,880 --> 00:05:01,600
167
+ ู‡ุชุนุทูŠู†ูŠ
168
+
169
+ 43
170
+ 00:05:04,320 --> 00:05:08,640
171
+ ู…ุด ุจุชุถุฑุฑ ู†ูุณ ุงู„ู€means ู‡ุฏูˆู„ ู…ู…ูƒู† ุชู‚ุน ุช 3.6 for
172
+
173
+ 44
174
+ 00:05:08,640 --> 00:05:12,500
175
+ example ูุฅุฐุง
176
+
177
+ 45
178
+ 00:05:12,500 --> 00:05:15,340
179
+ ุญุตู„ู†ุง ุนู„ู‰ ุนุฏูŠุฏ ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ
180
+
181
+ 46
182
+ 00:05:15,340 --> 00:05:15,980
183
+ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุจู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ
184
+
185
+ 47
186
+ 00:05:15,980 --> 00:05:23,480
187
+ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ
188
+
189
+ 48
190
+ 00:05:23,480 --> 00:05:29,940
191
+ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„
192
+
193
+ 49
194
+ 00:05:29,940 --> 00:05:31,120
195
+ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ
196
+
197
+ 50
198
+ 00:05:31,120 --> 00:05:31,120
199
+ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ
200
+
201
+ 51
202
+ 00:05:31,120 --> 00:05:31,120
203
+ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุนุฉ ู…ุฎุชู„ูุฉ ู„ูƒู„ ู…ุฌู…ูˆุน
204
+
205
+ 52
206
+ 00:05:34,550 --> 00:05:40,930
207
+ of the means ู…ู‡ุชู… ุจุชูˆุฒูŠุน ุงู„ู…ุชูˆุณุทุงุช ู‡ุฏูˆู„ ุงู„ู„ูŠ ู‡ู… 3
208
+
209
+ 53
210
+ 00:05:40,930 --> 00:05:47,590
211
+ .3 ูˆ3.2 ูˆ3.6 for example ุฅุฐุง ุฃู†ุง ุฃุฎุฏุช ู‡ุฏูˆู„ ุนุงูŠุฒ
212
+
213
+ 54
214
+ 00:05:47,590 --> 00:05:53,250
215
+ ุฃุนุฑู ุฅูŠุด ุงู„ distribution ุงู„ู„ูŠ ู„ู‡ู… ุงู„ููƒุฑุฉ ู‡ุฐู‡ ู‡ุฎุฏู‡ุง
216
+
217
+ 55
218
+ 00:05:53,250 --> 00:05:58,850
219
+ ู…ุซู„ู‹ุง ุจุจุณูŠุท suppose we have a population of size 7
220
+
221
+ 56
222
+ 00:05:58,850 --> 00:06:03,610
223
+ of 4 population size just for example 4 people
224
+
225
+ 57
226
+ 00:06:06,300 --> 00:06:13,180
227
+ ุฃุฎุฏู†ุง n equals four. Suppose we are interested in
228
+
229
+ 58
230
+ 00:06:13,180 --> 00:06:19,780
231
+ the age of these four students. Now suppose the
232
+
233
+ 59
234
+ 00:06:19,780 --> 00:06:25,160
235
+ values of x are the age of the first one is 18,
236
+
237
+ 60
238
+ 00:06:25,860 --> 00:06:33,370
239
+ the second 20, then we have 22 and 24.ู…ุซู„ู‹ุงุŒ ู†ุญู†
240
+
241
+ 61
242
+ 00:06:33,370 --> 00:06:40,730
243
+ ู„ุฏูŠู†ุง ู…ุฌุชู…ุน ุตูุฑ 4 ูˆู†ุญู† ู…ู‡ุชู…ูˆู† ุจุงู„ู…ุฑุถ ู„ู‡ุฐู‡ ุงู„ุตูุฑ 4
244
+
245
+ 62
246
+ 00:06:40,730 --> 00:06:45,670
247
+ ุฅุฐุง ุงุญู†ุง ู„ุฏูŠู†ุง ู…ุฌุชู…ุน ุญุฌู…ู‡ ุฃุฑุจุนุฉ ู…ู‡ุชู… ุจุงู„ุนู…ุฑ ูˆู‡ูŠ
248
+
249
+ 63
250
+ 00:06:45,670 --> 00:06:53,510
251
+ ุงู„ุนู…ุฑ ุชุจุนุชู†ุง 18ุŒ 20ุŒ 22ุŒ 24 ุณุฃุฎุฑุฌ ุงู„ู…ูŠู† ู„ู‡ู… ุงู„ู…ูŠู†
252
+
253
+ 64
254
+ 00:06:53,510 --> 00:06:58,630
255
+ ู„ุฌู…ู‡ูˆุฑ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฌู…ู‡ูˆุฑ ุงู„ู…ุฌุชู…ุน ุชุนุฑูŠู ุงู„ู…ูŠู† ุฃุจุงุฑุน
256
+
257
+ 65
258
+ 00:06:58,630 --> 00:06:59,410
259
+ ุนู† ุฅูŠู‡ุŸ
260
+
261
+ 66
262
+ 00:07:01,920 --> 00:07:12,880
263
+ X ุนู„ู‰ ุนุฏุฏู‡ ู…ุดูŠูƒ ู„ูˆ ุฌู…ุนุช ุงู„ 18 ุงู„ 20 ุงู„ 22 ุงู„ 24 ูˆ
264
+
265
+ 67
266
+ 00:07:12,880 --> 00:07:17,920
267
+ ุฌุณู…ุช ุนู„ู‰ ุนุฏุฏู‡ู… ุฌูˆุงุจ ูˆุงุญุฏ ุนุดุงู† ุงู„ู…ูŠู† ุงู„ุนุงุฏู‰ ุงู„ู„ูŠ
268
+
269
+ 68
270
+ 00:07:17,920 --> 00:07:23,180
271
+ ุจูŠุณู…ูŠู‡ population mean ูˆ ุจุทู„ุน ุณูŠุฌู…ุงุŒ ุณูŠุฌู…ุง ุนุจุงุฑุฉ
272
+
273
+ 69
274
+ 00:07:23,180 --> 00:07:28,500
275
+ ุนู† ุงูŠุดุŸ ุงู„ู„ูŠ ู‡ูŠ population standard deviation ุงู„
276
+
277
+ 70
278
+ 00:07:28,500 --> 00:07:34,330
279
+ definition ุชุจุนู‡ุง X minus ุงู„ meanover n this
280
+
281
+ 71
282
+ 00:07:34,330 --> 00:07:37,930
283
+ quantity squared because ุจุงุฎุฏ square root of sum x
284
+
285
+ 72
286
+ 00:07:37,930 --> 00:07:40,390
287
+ minus mean square over n ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู‚ุจู„ ู‡ูŠูƒ
288
+
289
+ 73
290
+ 00:07:40,390 --> 00:07:49,790
291
+ chapter 3 ู„ูˆ ุญุณุจุชูŠู‡ุง ุจุฑุงุญุชูƒ ุงู„ุฌูˆุง 2.236 ุฅุฐุง
292
+
293
+ 74
294
+ 00:07:49,790 --> 00:07:54,870
295
+ ุงู„ mean ู„ู„ population ูƒู„ู‡ ุทู„ุน 21 ูˆ ุงู„ sigma ู„ู„
296
+
297
+ 75
298
+ 00:07:54,870 --> 00:08:00,930
299
+ population ูƒู„ู‡ ุทู„ุน 2.236 ู„ูˆ ุจุฏุฑุณู‡ู… ุงู„ values ู‡ุฏูˆู„
300
+
301
+ 76
302
+ 00:08:00,930 --> 00:08:08,180
303
+ ุงู„ x18-18-22-24 ู…ุน ุงู„ proportion ู…ุน ุงู„ B ุชุจุนุชู‡ู…
304
+
305
+ 77
306
+ 00:08:08,180 --> 00:08:13,980
307
+ ูŠุฏุฑุด ุงู„ู†ุณุจุฉ ุชุจุนุชู‡ู… ุงู„ุทู…ู†ุชุงุด ุฃูƒู… ูˆุงุญุฏ ุทู…ู†ุชุงุด ุนู…ุฑู‡
308
+
309
+ 78
310
+ 00:08:13,980 --> 00:08:19,890
311
+ ูˆุงุญุฏ ู…ุธุจูˆุท ุดุฎุต ูˆุงุญุฏ ุงูŠุด ู†ุณุจุฉ ุจู†ุณุจุฉ ุงู„ุฃุฑุจุนุฉุŸุฑุจุนุฉ
312
+
313
+ 79
314
+ 00:08:19,890 --> 00:08:26,990
315
+ ูŠุนู†ูŠ 25% ุฅุฐุง ุฃูˆู„ ูˆุงุญุฏ ู†ุณูุท 25% ุทุจ ุงู„ู‚ูŠู…ุฉ 20 ูƒู… ู…ุฑุฉ
316
+
317
+ 80
318
+ 00:08:26,990 --> 00:08:33,450
319
+ ู…ุชูƒุฑุฑุฉ ู…ุฑุฉ ุจุฑุฏุด ุจุทู„ุน 25 ูˆ ุงู„ุชุงู„ุชุฉ 25 ูˆ ุงู„ุฑุงุจุนุฉ 25
320
+
321
+ 81
322
+ 00:08:33,450 --> 00:08:40,150
323
+ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ูƒู„ู‡ู… ุฒูŠ ุจุนุถ ูˆุงุถุญ ู‡ุฐุง ุฅูŠุด ุจู†ุณู…ูŠู‡ uniform
324
+
325
+ 82
326
+ 00:08:40,150 --> 00:08:47,330
327
+ distribution ูŠุนู†ูŠ
328
+
329
+ 83
330
+ 00:08:47,330 --> 00:08:53,760
331
+ ุงู„ X ุทู„ุน ู„ู‡ุงุจู†ุณู…ูŠ ุงู„ุชูˆุฒูŠุน ู…ูู†ุทู„ูŽุจ
332
+
333
+ 84
334
+ 00:08:53,760 --> 00:09:00,220
335
+ ุฅุญู†ุง ู…ู‡ุชู…ูŠู† ู…ุด ุจุงู„ุฅูƒุณุงุช ุฏูˆู„ ู…ู‡ุชู…ูŠู† ุจุงู„ู€
336
+
337
+ 85
338
+ 00:09:00,220 --> 00:09:07,020
339
+ distribution ู„ู…ู†ุŸ ู„ู€ means ูƒู„ู‡ู… ุฅุฐุง ู†ูุชุฑุถ ุฃู† ุฃุฎุฏ
340
+
341
+ 86
342
+ 00:09:07,020 --> 00:09:12,620
343
+ sample size just
344
+
345
+ 87
346
+ 00:09:12,620 --> 00:09:17,560
347
+ for example ุณู†ุฎุฏุฑ all possible samples of size n
348
+
349
+ 88
350
+ 00:09:17,560 --> 00:09:21,960
351
+ equal to oneุจุชุงุฎุฏ ุงู„ุนูŠู†ุงุช ู„ุญุฌู…ู‡ุง ุงุชู†ูŠู† ูุจุชุงุฎุฏ ูƒู„
352
+
353
+ 89
354
+ 00:09:21,960 --> 00:09:26,940
355
+ ุนูŠู†ุง ุญุฌู…ู‡ุง ุงุชู†ูŠู† ุจุณ ุงุฐุง ุจุชุงุฎุฏ ุงู„ size equal ุงุชู†ูŠู†
356
+
357
+ 90
358
+ 00:09:26,940 --> 00:09:40,460
359
+ ุงู„ values ู…ู† ุงู„ุงุตู„ ูƒู„ู…ุฉ 18 20 22 24 ู‡ุงุฎุฏ
360
+
361
+ 91
362
+ 00:09:40,460 --> 00:09:45,120
363
+ ุฏู‡ ู…ุน repetition ู…ุน ุงู„ุชูƒุฑุงุฑ ูู‡ุงุฎุฏ ุงู„ 18 ู…ุน ุงู„ 18
364
+
365
+ 92
366
+ 00:09:46,640 --> 00:09:49,960
367
+ ุฃู†ุง ุญูƒูŠุช size 2 ู…ุด checkุŸ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
368
+
369
+ 93
370
+ 00:09:49,960 --> 00:09:51,240
371
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
372
+
373
+ 94
374
+ 00:09:51,240 --> 00:09:52,960
375
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
376
+
377
+ 95
378
+ 00:09:52,960 --> 00:09:55,560
379
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
380
+
381
+ 96
382
+ 00:09:55,560 --> 00:10:02,540
383
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
384
+
385
+ 97
386
+ 00:10:02,540 --> 00:10:02,700
387
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
388
+
389
+ 98
390
+ 00:10:02,700 --> 00:10:04,060
391
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ
392
+
393
+ 99
394
+ 00:10:04,060 --> 00:10:10,380
395
+ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†ุนู…ุŒ ู†
396
+
397
+ 100
398
+ 00:10:18,180 --> 00:10:21,820
399
+ ุฃู†ุง ุฃุฎุฏุช ูƒู„ ุงู„ samples of size 2 ุฃุฎุฏุช ูƒู„ ุงู„ 2 ู…ุน
400
+
401
+ 101
402
+ 00:10:21,820 --> 00:10:24,980
403
+ ุจุนุถ ูˆ ุงู„ tekrar ู…ูˆุฌูˆุฏ ุงู„ุฃูˆู„ ู…ุน ุงู„ุฃูˆู„ุŒ ุงู„ุฃูˆู„ ู…ุน
404
+
405
+ 102
406
+ 00:10:24,980 --> 00:10:29,180
407
+ ุงู„ุชุงู†ูŠุŒ ุงู„ุฃูˆู„ ู…ุน ุงู„ุชุงุฑูŠุซ ูˆ ูƒุฐุง ุฃู†ุง ู…ุด ู…ู‡ุชู… ุจู‡ุฏูˆู„ุŒ
408
+
409
+ 103
410
+ 00:10:29,180 --> 00:10:34,100
411
+ ู…ู‡ุชู… ุจู…ูŠู†ุŸ ุจุงู„ average ุชุจุนู‡ู…ุŒ ุจุงู„ู…ูŠู† ุชุจุนู‡ู… ู„ูˆ ุทู„ุนุช
412
+
413
+ 104
414
+ 00:10:34,100 --> 00:10:41,360
415
+ ุงู„ average ุฅู„ู‡ู… 18 ูˆ 18ุŒ ุฅูŠุด ุงู„ average ู„ู‡ุŸ 18 ูˆ
416
+
417
+ 105
418
+ 00:10:41,360 --> 00:10:51,330
419
+ 18 18 ูˆ 18ุŒ ู‡ูŠ ุงู„ 18 ุงู„ุฃูˆู„ู‰ุจุงู„ุชุงู„ูŠ 18 ูˆ 20 ูˆ ุจุนุฏูŠู†
420
+
421
+ 106
422
+ 00:10:51,330 --> 00:11:00,650
423
+ 18 ูˆ 22 ุนู…ู„ุชู…
424
+
425
+ 107
426
+ 00:11:00,650 --> 00:11:07,230
427
+ ูƒู„ู‡ู… ู‡ุฐูˆู„ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ means ูƒู„ ู…ุง ูƒุงู† ูˆุงุญุฏ 16
428
+
429
+ 108
430
+ 00:11:07,230 --> 00:11:15,210
431
+ ุงู„ู„ูŠ ุฃู†ุง ู…ู‡ุชู… ุฅูŠู‡ ู‡ูˆ ุงู„ means ุงู„ู„ูŠ ุทู„ุนูˆุง ุทู„ุน ุนู„ู‰
432
+
433
+ 109
434
+ 00:11:15,210 --> 00:11:15,790
435
+ ุงู„ุดุงุดุฉ ู‡ู†ุง
436
+
437
+ 110
438
+ 00:11:20,650 --> 00:11:26,790
439
+ ุฎู„ูŠู†ูŠ ุฃูƒุชุจ ุงู„ means ุฃูƒู… 18 ู…ูˆุฌูˆุฏุฉ ุฃูƒู… 18 ููŠ ู‡ุฏูˆู„ุŒ
440
+
441
+ 111
442
+ 00:11:26,790 --> 00:11:35,330
443
+ ูˆุงุญุฏุฉุŒ ู…ุธุจูˆุทุŸ ููŠ ุบูŠุฑู‡ุง ู„ุฃุŒ ูˆ 19 ูŠุนู†ูŠ ุฃูˆู„ ูˆุงุญุฏุฉ
444
+
445
+ 112
446
+ 00:11:35,330 --> 00:11:40,860
447
+ ุดูˆูุช 18, 19, 20 ูˆ ูƒุฐุงุŒ ุงู„ 18 ู…ุฑุฉ ูˆุงุญุฏุฉุจุนุฏูŠู† ู‡ูŠ
448
+
449
+ 113
450
+ 00:11:40,860 --> 00:11:49,440
451
+ ุงู„ุชุณุนุฉ ูˆ ุฃุชุงุดุฑ ุงู„ูˆุงุญุฏ
452
+
453
+ 114
454
+ 00:11:49,440 --> 00:11:54,260
455
+ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
456
+
457
+ 115
458
+ 00:11:54,260 --> 00:11:55,400
459
+ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู†
460
+
461
+ 116
462
+ 00:11:55,400 --> 00:11:55,980
463
+ ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ
464
+
465
+ 117
466
+ 00:11:55,980 --> 00:11:58,040
467
+ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ
468
+
469
+ 118
470
+ 00:11:58,040 --> 00:12:01,020
471
+ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ
472
+
473
+ 119
474
+ 00:12:01,020 --> 00:12:03,380
475
+ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู†
476
+
477
+ 120
478
+ 00:12:03,380 --> 00:12:06,100
479
+ ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ
480
+
481
+ 121
482
+ 00:12:06,100 --> 00:12:06,740
483
+ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏ
484
+
485
+ 122
486
+ 00:12:06,740 --> 00:12:11,920
487
+ ูˆ ุฃุชุดุฑูŠู† ุฃุฑุจุนุฉ ุงู„ูˆุงุญุฏูƒูŠู ุดูƒู„ู‡ู… ู„ูˆ ุจุฏู‰ ุงุนู…ู„ ูˆ ู‡ูŠูƒ
488
+
489
+ 123
490
+ 00:12:11,920 --> 00:12:20,680
491
+ ุงุนู…ู„ flip ู„ูˆ ุจุชุนู…ู„ูŠ flip around ุงู„ x axis ุดูƒู„ู‡
492
+
493
+ 124
494
+ 00:12:20,680 --> 00:12:26,800
495
+ ู„ูˆ ุงู†ุช ุนู…ู„ุชูŠู‡ ุฏูˆุฑุงู† ู‡ูŠูƒ ุงู„ู†ุงุญูŠุฉ
496
+
497
+ 125
498
+ 00:12:26,800 --> 00:12:30,260
499
+ ุฏู‰ ูŠุนู†ูŠ ุฎู„ูŠ ู‡ุฐุง ู‡ูŠูƒ ุงู„ vertical line ุฎู„ูŠู‡ุง
500
+
501
+ 126
502
+ 00:12:30,260 --> 00:12:36,000
503
+ horizontal ุงูŠุด ู…ุทู„ุน ุดูƒู„ู‡ู… ุฏู‡ ุฎูŠู†ุง ู†ุตูˆุง ู…ุน ุจุนุถ ุงู„
504
+
505
+ 127
506
+ 00:12:36,000 --> 00:12:41,860
507
+ 18 ู…ุฑุฉ ูˆุงุญุฏุฉ ู…ุธุจูˆุท ู‡ูŠ ุงู„ุฑุตุฏุงู„ู€ 18 ู…ุฑุฉุŒ ู…ุธุจูˆุทุŸ
508
+
509
+ 128
510
+ 00:12:41,860 --> 00:12:48,680
511
+ ุนุฏุฏู‡ู… ูƒู…ุŸ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
512
+
513
+ 129
514
+ 00:12:48,680 --> 00:12:50,160
515
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
516
+
517
+ 130
518
+ 00:12:50,160 --> 00:12:54,660
519
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
520
+
521
+ 131
522
+ 00:12:54,660 --> 00:12:57,820
523
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
524
+
525
+ 132
526
+ 00:12:57,820 --> 00:12:57,920
527
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
528
+
529
+ 133
530
+ 00:12:57,920 --> 00:12:57,920
531
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
532
+
533
+ 134
534
+ 00:12:57,920 --> 00:12:57,920
535
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
536
+
537
+ 135
538
+ 00:12:57,920 --> 00:12:57,920
539
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ
540
+
541
+ 136
542
+ 00:12:57,920 --> 00:13:03,080
543
+ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16ุŒ 16
544
+
545
+ 137
546
+ 00:13:08,660 --> 00:13:13,200
547
+ ุงู„ุนุดุฑูŠู† ุชู„ุงุชุฉ ุงู„ูˆุงุญุฏ ูˆุนุดุฑูŠู† ุฃุฑุจุนุฉ ุจุนุฏูŠู† ุงูŠุด ุจูŠุจุฏุฃ
548
+
549
+ 138
550
+ 00:13:13,200 --> 00:13:20,120
551
+ ูŠู†ู‚ุต ูˆุงุญุฏ ูˆุงุญุฏ ู…ุด ู‡ูŠูƒ ุงู„ุงุชู†ูŠู† ูˆุนุดุฑูŠู† ุชู„ุงุชุฉ ุงู„ุชู„ุงุชุฉ
552
+
553
+ 139
554
+ 00:13:20,120 --> 00:13:24,920
555
+ ูˆุนุดุฑูŠู† ุงุชู†ูŠู† ูˆุงู„ุงุฑุจุน ูˆุนุดุฑูŠู† ูˆุงุญุฏ let's compare the
556
+
557
+ 140
558
+ 00:13:24,920 --> 00:13:29,980
559
+ graph for the sample means ุงู„ู„ูŠ ู‡ูˆ ู‡ูŠู‡ ูˆุงู„ graph
560
+
561
+ 141
562
+ 00:13:29,980 --> 00:13:33,580
563
+ ุชุจุน ุงู„ individual values ู„ู…ุง ุฎุฏู†ุงู‡ู… ูƒู„ ู‚ูŠู… ู„ุญุงู„ุฉ
564
+
565
+ 142
566
+ 00:13:33,580 --> 00:13:40,550
567
+ ู…ุด ุทู„ุน ุงู„ุดูƒู„uniform ู„ู…ุง ุฎุฏู†ุง ุงู„ means ู‡ู„ ุดูƒู„ู‡
568
+
569
+ 143
570
+ 00:13:40,550 --> 00:13:45,210
571
+ uniformุŸ ู…ู†ุชุธู…ุŸ ู‡ู„ ูƒู„ู‡ู… ุฒูŠ ุจุนุถุŸ ุฑุญู„ุฉ ุจู†ุฏูˆุฑ ุนู„ูŠู‡ุง
572
+
573
+ 144
574
+ 00:13:45,210 --> 00:13:50,050
575
+ ุชู„ุงุช ุดุบู„ุงุช ุชุชุฐูƒุฑ ุฃูˆู„ ู„ู‚ุน ุญูƒูŠู†ุง ุนู„ูŠู‡ ุนุงูŠุฒูŠู† ุงู„
576
+
577
+ 145
578
+ 00:13:50,050 --> 00:13:58,210
579
+ center ูˆ ุงู„ spread ูˆ ุงู„ shape ุชู„ุงุช ุดุบู„ุงุช ูŠุนู†ูŠ ุฅูŠุด
580
+
581
+ 146
582
+ 00:13:58,210 --> 00:14:03,210
583
+ ู…ุนู†ู‰ centerุŸ ูŠุนู†ูŠ ุงู„ู…ุฑูƒุฒ ู„ู‡ู… ูŠุนู†ูŠ ุฅูŠุด ุงู„ mean ู„ู‡ู…
584
+
585
+ 147
586
+ 00:14:05,650 --> 00:14:09,590
587
+ ุฅุฐุง ุงู„ู€ Seminic distribution means we are looking
588
+
589
+ 148
590
+ 00:14:09,590 --> 00:14:18,790
591
+ for the center it means the mean spread ูˆ
592
+
593
+ 149
594
+ 00:14:18,790 --> 00:14:24,590
595
+ ุงู„ุดุจู‡ but we are interested in the Seminic
596
+
597
+ 150
598
+ 00:14:24,590 --> 00:14:27,790
599
+ distribution of the means ุจุนุฏ ูƒุฏู‡ ุนุงูŠุฒ ุงู„ู…ูŠู† ู„ู…ูŠู†
600
+
601
+ 151
602
+ 00:14:27,790 --> 00:14:35,790
603
+ ู„ู„ู…ูŠns ุงู„ู…ูŠู† ู„ู„ู…ูŠns ู‡ุฏูˆู„ูˆ ุงู„ spread ูŠุนู†ูŠ ุงู„
604
+
605
+ 152
606
+ 00:14:35,790 --> 00:14:40,650
607
+ standard deviation ู„ู…ูŠู†ุŸ ุจุฑุถู‡ ู„ู„ means ูˆ ุงู„ spread
608
+
609
+ 153
610
+ 00:14:40,650 --> 00:14:47,550
611
+ ู„ู„ู…ูŠู†ุŸ ู‡ุฏูˆู„ ุชู„ุงุชุฉ ุณุคุงู„ ู†ุฌุงูˆุจ ุนู„ูŠู‡ู… ุงู„ุงู† ูˆ ุทู„ุนู‡ู…
612
+
613
+ 154
614
+ 00:14:47,550 --> 00:14:54,070
615
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูุงู„ุฃูˆู„ ู‡ุทู„ุน ุงู„ mean ู„ู…ู†ุŸ ู„ ุงู„ means
616
+
617
+ 155
618
+ 00:14:54,070 --> 00:15:02,770
619
+ ูุฃูŠ meansุŸ ุงู„ means ู‡ุฏูˆู„ ุงู„ 18 ูˆ 19 ูˆ ู‡ูƒุฐุงูŠุนู†ูŠ ุงู†ุง
620
+
621
+ 156
622
+ 00:15:02,770 --> 00:15:11,910
623
+ ุงุฌู…ุญู‡ู… ู‡ูŠ 18 19 ูˆ ุงูƒู…ู„ ู„ุบุงูŠุฉ ุงุฎุฑ ูˆุงุญุฏ ุนู„ู‰ ูƒุฏู‡ุŸ 16
624
+
625
+ 157
626
+ 00:15:11,910 --> 00:15:21,010
627
+ ู„ูˆ ุฌู…ุนุชู‡ู… ูˆ ุฌุณู…ุชู‡ู… ุนู„ู‰ 16 ุทู„ุน 21 ุงุฐุง ุทู„ุน ุงู„ mean ู„
628
+
629
+ 158
630
+ 00:15:21,010 --> 00:15:26,670
631
+ ุงู„ means ุงูŠุด ุจูŠุณุงูˆูŠุŸ 11 ุงู„ู„ูŠ ู‡ูˆ ู†ูุณู‡ ู‡ุฐุง ุนุจุงุฑุฉ ุนู†
632
+
633
+ 159
634
+ 00:15:26,670 --> 00:15:29,250
635
+ mean ู„ ู…ูŠู†ุŸ ู„ู„ population ู…ู…ุชุงุฒ ู‡ุฐุง ุงู„ mean ู„ู„
636
+
637
+ 160
638
+ 00:15:29,250 --> 00:15:31,850
639
+ population ู‡ุฐุง ุนุจุงุฑุฉ ุนู† population mean
640
+
641
+ 161
642
+ 00:15:36,710 --> 00:15:39,650
643
+ ุทู„ุน ุงู„ู€ mean ู„ู„ู€ sample ุงู„ู€ mean ู‡ูˆ ู†ูุณู‡ ุงู„
644
+
645
+ 162
646
+ 00:15:39,650 --> 00:15:45,250
647
+ population mean ุทุจ ุงุทู„ุนุช sigma x bar ุญุณุจ ุงู„ู‚ุงู†ูˆู†
648
+
649
+ 163
650
+ 00:15:45,250 --> 00:15:49,370
651
+ ุงู„ summation ุงู„ู„ูŠ
652
+
653
+ 164
654
+ 00:15:49,370 --> 00:15:57,250
655
+ ู‡ูˆ ุงู„ x bar ู†ู‚ุต ุงู„ mean ู„ู„ x bar ุนู„ู‰ n ู‡ูŠ ูƒุฏู‡
656
+
657
+ 165
658
+ 00:15:57,250 --> 00:16:02,370
659
+ ุจุชุทู„ุนู‡ู… ุฃูˆู„ mean ูƒุงู†ุช 18 ู…ุด ู‡ูŠ 18
660
+
661
+ 166
662
+ 00:16:04,880 --> 00:16:15,520
663
+ ูˆุงู„ู€ mean ุงู„ู„ูŠ ู‡ู… ูƒุฏู‡ุŸ 21 ูˆุงู„ู„ูŠ ุจุนุฏู‡ 19-21ยฒ ู„ุบุงูŠุฉ
664
+
665
+ 167
666
+ 00:16:15,520 --> 00:16:21,760
667
+ ุฃุฎุฑ ูˆุงุญุฏ 24-21ยฒ
668
+
669
+ 168
670
+ 00:16:21,760 --> 00:16:32,780
671
+ ุนู„ู‰ 16 ูˆุทู„ุน ุงู„ุฌูˆุงุจ sigma ู„ู€ x bar 1.58
672
+
673
+ 169
674
+ 00:16:36,260 --> 00:16:41,180
675
+ ุทู„ุน ุงู„ู€ sigma ู„ู„ population ูƒุฏู‡ุŸ ุงู„ sigma ู„ู„
676
+
677
+ 170
678
+ 00:16:41,180 --> 00:16:47,520
679
+ population ู…ุชุณุงูˆูŠ 2.236 ุฅุฐุง ุทู„ุนุช ุงู„ mean ู„ู„
680
+
681
+ 171
682
+ 00:16:47,520 --> 00:16:51,320
683
+ population ุทู„ุนู†ุง ุงู„ sigma ู„ู„ population ูˆ ุจุนุฏูŠู†
684
+
685
+ 172
686
+ 00:16:51,320 --> 00:16:54,940
687
+ ุฃุฎุฏู†ุง all samples of size 2 ุทู„ุนู†ุง ุงู„ means ุงู„ู„ูŠ ู‡ู…
688
+
689
+ 173
690
+ 00:16:54,940 --> 00:17:00,100
691
+ ุทู„ุนู†ุง ุงู„ mean ู„ู„ means ูˆ ุงู„ sigma ู„ู„ means ุทู„ุน
692
+
693
+ 174
694
+ 00:17:00,100 --> 00:17:04,280
695
+ ู…ุนุงูŠุง ุงู„ mean ู„ู„ x bar 21 ูˆ ุงู„ sigma ู„ู„ x bar 1.58
696
+
697
+ 175
698
+ 00:17:06,610 --> 00:17:10,070
699
+ ู‡ุฐู‡ ุฃุฑุณูˆู…ู‡ู… ุทู„ุน ุงู„ุฑุณู… ู‡ุงูŠ ุงู„ุดูƒู„ ู‡ุงูŠ ุงู„ population
700
+
701
+ 176
702
+ 00:17:10,070 --> 00:17:15,590
703
+ of size 4 ูˆู‡ุงูŠ ุงู„ sample means ู„ู…ุง ุฃุฎุฏุช n equals 2
704
+
705
+ 177
706
+ 00:17:15,590 --> 00:17:21,070
707
+ ุจุฏูŠ ุฃุนู…ู„ comparison between these two graphs ุฃูˆู„
708
+
709
+ 178
710
+ 00:17:21,070 --> 00:17:28,210
711
+ ูˆุงุญุฏ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† .. ุฅูŠุด ุณู…ู†ุงู‡ุงุŸ ู‡ุฐุง uniform ูˆู‡ุฐุง
712
+
713
+ 179
714
+ 00:17:28,210 --> 00:17:34,640
715
+ looks like ู…ูŠู†ุŸ ุจุงู„ shape normal distributionูˆุงุถุญ
716
+
717
+ 180
718
+ 00:17:34,640 --> 00:17:44,500
719
+ ุดูƒู„ ุชุจุนู‡ ุชู‚ุฑูŠุจุง ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุจุดูƒู„ ูˆุงุถุญ ุงู„ู…ู„ุฎุต
720
+
721
+ 181
722
+ 00:17:44,500 --> 00:17:50,320
723
+ ู…ุนู†ุงู‡ different samples ุนูŠู†ุงุช ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุดูู†ุงู‡ู…
724
+
725
+ 182
726
+ 00:17:50,320 --> 00:17:55,440
727
+ ู…ู† ุดูˆูŠุฉ different samples ุจุญูƒูŠ ุนู† ู‡ุฏูˆู„ ู‡ุฏูˆู„
728
+
729
+ 183
730
+ 00:17:55,440 --> 00:17:56,300
731
+ different samples
732
+
733
+ 184
734
+ 00:18:00,340 --> 00:18:04,020
735
+ of the sample size from the same population will
736
+
737
+ 185
738
+ 00:18:04,020 --> 00:18:06,360
739
+ yield different sample means ุดูˆูู†ุง means ู…ุง ู„ู‡ู…
740
+
741
+ 186
742
+ 00:18:06,360 --> 00:18:14,920
743
+ ู…ุฎุชู„ููŠู† ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„ ูƒู„
744
+
745
+ 187
746
+ 00:18:14,920 --> 00:18:20,380
747
+ ุงู„ means ุงู„ู„ูŠ ู‡ู†ุง ู…ุด ุฒูŠ ุจุนุถ a
748
+
749
+ 188
750
+ 00:18:20,380 --> 00:18:23,620
751
+ measure of variability in the mean from sample to
752
+
753
+ 189
754
+ 00:18:23,620 --> 00:18:27,180
755
+ sample is given by the standard error of the mean
756
+
757
+ 190
758
+ 00:18:29,800 --> 00:18:33,640
759
+ ู‡ู†ุง ุณุงู…ุนู‡ุง standard error of mean ู‡ู†ุง ุณุงู…ุนู‡ุง
760
+
761
+ 191
762
+ 00:18:33,640 --> 00:18:42,360
763
+ standard error of mean of
764
+
765
+ 192
766
+ 00:18:42,360 --> 00:18:48,980
767
+ x bar ู‡ู†ุง ุณุชู„ุงุญุธ ุฃู† ุงู„ mean ู„ู„ x bar equal to mu
768
+
769
+ 193
770
+ 00:18:48,980 --> 00:18:53,960
771
+ ุฒูŠ ุจุนุถุŒ ู…ุด ู‡ูŠูƒุŸ ุฅุฐุง ุงู„ุงุณุชู†ุชุงุฌ ุงู„ู„ูŠ ู‡ูˆ ุฃู† ุงู„ mu ู„ู„
772
+
773
+ 194
774
+ 00:18:53,960 --> 00:19:04,570
775
+ x bar equal to muุณูŠุฌู…ุง X bar ู‡ูˆ ุฃู‚ู„ ู…ู†
776
+
777
+ 195
778
+ 00:19:04,570 --> 00:19:14,330
779
+ 2.236 ู„ุญุธุฉ 1.58 ุฃู‚ู„ ู…ู† 2.236 ุณูŠุฌู…ุง X bar ู„ูˆ ุนุงูŠุฒ
780
+
781
+ 196
782
+ 00:19:14,330 --> 00:19:18,290
783
+ ุฃุทู„ุน ุญู‚ ุจุชุณุงูˆูŠ ู„ูˆ ุฌุจุช ุงู„ุณูŠุฌู…ุง ุฌุณู…ุช ุนู„ู‰ square root
784
+
785
+ 197
786
+ 00:19:18,290 --> 00:19:18,610
787
+ of N
788
+
789
+ 198
790
+ 00:19:24,640 --> 00:19:29,940
791
+ ุณุชุธู‡ุฑ ุณูŠุฌู…ุง X bar ุจุงู„ุณุงูˆูŠุฉ ูŠุนู†ูŠ
792
+
793
+ 199
794
+ 00:19:29,940 --> 00:19:39,100
795
+ ู„ูˆ ุฌูŠุช ุฌุณู…ุช ุงู„ุณูŠุฌู…ุง ุงู„ุณูŠุฌู…ุง ู‡ูŠ 2.236 ุงู„ N equals 2
796
+
797
+ 200
798
+ 00:19:39,100 --> 00:19:45,100
799
+ ู„ูˆ ุฌุณู…ุชู‡ุง ุฏูˆู„ ุนู„ู‰ ุงู„ูƒุงู„ูƒูˆู„ุงุชุฑ ุณุชุธู‡ุฑ ุงู„ุฌูˆุงุจ 1.58
800
+
801
+ 201
802
+ 00:19:45,100 --> 00:19:50,880
803
+ ุฅุฐุง ุงู„ sigma over square root of N ุณุชุธู‡ุฑ 1.58
804
+
805
+ 202
806
+ 00:19:53,720 --> 00:19:58,480
807
+ ุฅุฐุง ุฌุงุจุช ุนู„ู‰ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ุทู„ู‚ ุงู„ู€ mean ู„ู„ู€ x bar
808
+
809
+ 203
810
+ 00:19:58,480 --> 00:20:05,040
811
+ ุงู„ู€ mean ู„ู„ู€ means ูŠุณุชูˆู‰ ุงู„ population mean ูˆ ุงู„
812
+
813
+ 204
814
+ 00:20:05,040 --> 00:20:08,280
815
+ sigma x bar ู‡ูˆ ุงู„ spread ุนุจุงุฑุฉ ุนู† ุงู„ sigma ุนู„ู‰
816
+
817
+ 205
818
+ 00:20:08,280 --> 00:20:11,520
819
+ square root of n with always sigma x bar smaller
820
+
821
+ 206
822
+ 00:20:11,520 --> 00:20:19,720
823
+ than sigma n for n greater than one ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุงู„
824
+
825
+ 207
826
+ 00:20:19,720 --> 00:20:25,690
827
+ sample size ุฃูƒุชุฑ ู…ู† ูˆุงุญุฏ ู„ุฃู† ู„ูˆ ูƒุงู† ุงู„ n ุจูˆุงุญุฏู…ุด
828
+
829
+ 208
830
+ 00:20:25,690 --> 00:20:28,810
831
+ ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigmaุŒ ู…ุด ู‡ูŠุทู„ุน sigma x
832
+
833
+ 209
834
+ 00:20:28,810 --> 00:20:28,810
835
+ bar ู‡ูˆ ู†ูุณู‡ sigmaุŒ ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡
836
+
837
+ 210
838
+ 00:20:28,810 --> 00:20:29,710
839
+ sigmaุŒ ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigmaุŒ ู…ุด
840
+
841
+ 211
842
+ 00:20:29,710 --> 00:20:29,730
843
+ ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigmaุŒ ู…ุด ู‡ูŠุทู„ุน sigma x
844
+
845
+ 212
846
+ 00:20:29,730 --> 00:20:32,090
847
+ bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡
848
+
849
+ 213
850
+ 00:20:32,090 --> 00:20:38,310
851
+ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน
852
+
853
+ 214
854
+ 00:20:38,310 --> 00:20:42,630
855
+ sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ
856
+
857
+ 215
858
+ 00:20:42,630 --> 00:20:45,670
859
+ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด
860
+
861
+ 216
862
+ 00:20:45,670 --> 00:20:46,450
863
+ ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x
864
+
865
+ 217
866
+ 00:20:46,450 --> 00:20:47,250
867
+ bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡
868
+
869
+ 218
870
+ 00:20:47,250 --> 00:20:48,970
871
+ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน
872
+
873
+ 219
874
+ 00:20:48,970 --> 00:20:51,310
875
+ sigma x bar ู‡ูˆ ู†ูุณู‡ sigma ู…ุด ู‡ูŠุทู„ุน sigma x bar ู‡ูˆ
876
+
877
+ 220
878
+ 00:20:51,310 --> 00:20:58,170
879
+ ู†ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ู…ุงู„ู‡ุง ุชุชุฎู„ุต ูุงู„ุฎุทุฃ ุงู„ุนุงู…ู„ ู„ู„ู…ุนุงู…ู„ุฉ
880
+
881
+ 221
882
+ 00:20:58,170 --> 00:21:03,170
883
+ ุชุชุฎู„ุต ุนู†ุฏู…ุง ุชุฒูŠุฏ ุตู…ูŠู… ุงู„ู…ุนุงู…ู„ุฉ ุงูˆ ุชุฒูŠุฏ ุงุฐุง ุนู„ุงู‚ุฉ
884
+
885
+ 222
886
+ 00:21:03,170 --> 00:21:08,830
887
+ ุจูŠู†ู‡ู… ุนูƒุณูŠุฉ ูƒู„ ุงู† ู…ุง ุจุฒูŠุฏ ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ู…ุงู„ู‡ ุจู‚ุฏุฑ
888
+
889
+ 223
890
+ 00:21:08,830 --> 00:21:12,830
891
+ ุงุฐุง ุณูŠุฌู…ุง ุงูƒุณ ุจุงุฑ ุงูƒุจุฑ ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู†
892
+
893
+ 224
894
+ 00:21:12,830 --> 00:21:14,030
895
+ ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง
896
+
897
+ 225
898
+ 00:21:14,030 --> 00:21:16,210
899
+ ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู†
900
+
901
+ 226
902
+ 00:21:16,210 --> 00:21:18,910
903
+ ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง
904
+
905
+ 227
906
+ 00:21:18,910 --> 00:21:27,010
907
+ ุงูƒุชุฑ ู…ู† ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู†ุงู„ุฃู†ุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
908
+
909
+ 228
910
+ 00:21:27,010 --> 00:21:31,730
911
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
912
+
913
+ 229
914
+ 00:21:31,730 --> 00:21:37,350
915
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
916
+
917
+ 230
918
+ 00:21:37,350 --> 00:21:40,530
919
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
920
+
921
+ 231
922
+ 00:21:40,530 --> 00:21:43,470
923
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
924
+
925
+ 232
926
+ 00:21:43,470 --> 00:21:45,070
927
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
928
+
929
+ 233
930
+ 00:21:45,070 --> 00:21:45,530
931
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
932
+
933
+ 234
934
+ 00:21:45,530 --> 00:21:45,770
935
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
936
+
937
+ 235
938
+ 00:21:45,770 --> 00:21:49,730
939
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒ
940
+
941
+ 236
942
+ 00:21:49,730 --> 00:21:53,020
943
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุทุจูŠุนูŠุŒูˆ ุงู„ู€ sigma x bar ุจูŠุณูˆูŠ
944
+
945
+ 237
946
+ 00:21:53,020 --> 00:21:56,860
947
+ sigma over square root of n ุงู„ุดูŠุก ุจูŠุนุชู…ู„ if the
948
+
949
+ 238
950
+ 00:21:56,860 --> 00:22:00,280
951
+ population is normal then x bar is also normally
952
+
953
+ 239
954
+ 00:22:00,280 --> 00:22:04,880
955
+ distributed with mean equals mu and sigma x bar
956
+
957
+ 240
958
+ 00:22:04,880 --> 00:22:10,040
959
+ equals sigma over square root of n ุฅุฐู† ุงู„ู„ูŠ ุญุตู„ู†ุง
960
+
961
+ 241
962
+ 00:22:10,040 --> 00:22:15,960
963
+ ุนู„ูŠู‡ ุฃู† ุงู„ุชูˆุฒูŠุน x bar ุฅู„ู‡ average ุจูŠุณูˆูŠ mu ุงู„ู„ูŠ ู‡ูˆ
964
+
965
+ 242
966
+ 00:22:15,960 --> 00:22:20,100
967
+ population meanู„ุฃู† ุงู„ู€ population mean is always
968
+
969
+ 243
970
+ 00:22:20,100 --> 00:22:25,720
971
+ .. this value is always unknown ุงู„ู‚ูŠู…ุฉ
972
+
973
+ 244
974
+ 00:22:25,720 --> 00:22:29,420
975
+ ุบูŠุฑ ู…ุนุฑูˆูุฉ ูƒูŠู ุจ .. ุจุนู…ู„ู‡ estimation ุจุงุฎุฏ
976
+
977
+ 245
978
+ 00:22:29,420 --> 00:22:34,080
979
+ different samples ูˆ ุจุทู„ุน ุงู„ mean ู„ูƒู„ sample ุงู„
980
+
981
+ 246
982
+ 00:22:34,080 --> 00:22:36,480
983
+ average ุชุจุนู‡ู… ุฃูˆ ุงู„ mean ุชุจุนู‡ู… ุนุจุงุฑุฉ ุนู† ุงู„
984
+
985
+ 247
986
+ 00:22:36,480 --> 00:22:40,420
987
+ population mean ูŠุนู†ูŠ ุงู„ ู…ูŠูˆ ู…ุด ู…ุนุฑูˆูุฉ ูƒูŠู
988
+
989
+ 248
990
+ 00:22:40,420 --> 00:22:45,630
991
+ ุจุชุนุฑููŠู‡ุงุŸ ุฎุฏ ุงู„ samples ู…ุฎุชู„ูุฉ ุทู„ุน ุงู„ meanุทุงู„ุน
992
+
993
+ 249
994
+ 00:22:45,630 --> 00:22:48,950
995
+ ุงู„ู…ุชูˆุณุท ุงู„ means ู‡ุฏูˆู„ ุงู„ู…ุชูˆุณุท ุงู„ means ุงู„ู„ู‰ ุจูŠุทู„ุน
996
+
997
+ 250
998
+ 00:22:48,950 --> 00:22:52,910
999
+ ู…ุนุงูŠุง ุนุจุงุฑุฉ ุนู† population ูŠุนู†ูŠ ูˆ ุงู„ sigma x bar
1000
+
1001
+ 251
1002
+ 00:22:52,910 --> 00:22:57,950
1003
+ ุจูŠุณุงูˆูŠ ุงู„ sigma ุนู„ู‰ ุงู„ square ุฏูˆู„ ุงู„ shape ุชุจุนู‡ู…
1004
+
1005
+ 252
1006
+ 00:22:57,950 --> 00:23:02,130
1007
+ ุฅุฐุง ุงู„ population is normal ุจูŠูƒูˆู† ุจุฑุถู‡ ุงู„ x bar
1008
+
1009
+ 253
1010
+ 00:23:02,130 --> 00:23:05,650
1011
+ ู…ุงู„ู‡ normal ู„ุฅู† ุฃู†ุง ููŠ ุนู†ุฏูŠ population is normal
1012
+
1013
+ 254
1014
+ 00:23:05,650 --> 00:23:11,570
1015
+ ู‡ูŠ ู‡ูŠ ุงู„ population normal ุฃุฎุฏุช ู…ู†ู‡ ุงู„ sample ุฅูŠุด
1016
+
1017
+ 255
1018
+ 00:23:11,570 --> 00:23:16,680
1019
+ ุญูƒูˆู… ุจุฑุถู‡ ุดูƒู„ู‡ุงุฒูŠ ุชูˆุฒูŠุนู‡ุง ุทุจูŠุนูŠุŒ ุงู„ population ูƒู„ู‡
1020
+
1021
+ 256
1022
+ 00:23:16,680 --> 00:23:20,400
1023
+ ุทุจูŠุนูŠุŒ ู„ูˆ ู†ุงุฎุฏ ู…ู†ู‡ ุนูŠู†ุฉุŒ ู‡ูŠูƒูˆู† ุจุฑุถู‡ normal
1024
+
1025
+ 257
1026
+ 00:23:20,400 --> 00:23:24,840
1027
+ distribution ุทุจ ู„ุฃู† ุงู„ z score ุชุจุนู†ุง ุงู„ุฌุฏูŠุฏุŒ ุฅูŠุด
1028
+
1029
+ 258
1030
+ 00:23:24,840 --> 00:23:28,180
1031
+ ู‡ูŠุณุงูˆูŠุŸ
1032
+
1033
+ 259
1034
+ 00:23:28,180 --> 00:23:36,380
1035
+ ู†ุฐูƒุฑ ุงู„ z score ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุงู„ z ู„ูˆ ู†ุญูƒูŠ
1036
+
1037
+ 260
1038
+ 00:23:36,380 --> 00:23:36,960
1039
+ ุนู„ู‰ ุงู„ x
1040
+
1041
+ 261
1042
+ 00:23:40,300 --> 00:23:47,560
1043
+ ูƒุงู† z ุนุจุงุฑุฉ ุนู† x over sigma ูƒู†ุง ู†ูƒุชุจ ุฒูŠูƒูŠ x minus
1044
+
1045
+ 262
1046
+ 00:23:47,560 --> 00:23:50,880
1047
+ ุงู„ mean over sigma ุจุณ ุงู„ู…ู‚ุตูˆุฏ ูŠุจู‚ู‰ ุงู„ mean ู„ู„ x ูˆ
1048
+
1049
+ 263
1050
+ 00:23:50,880 --> 00:23:56,360
1051
+ ุงู„ sigma ู„ู„ x ูŠุนู†ูŠ x minus its mean divided by its
1052
+
1053
+ 264
1054
+ 00:23:56,360 --> 00:24:01,580
1055
+ standard deviationุทุจ ู„ุฃู† ู‡ุฐุง z for x ุฃู†ุง ุนุงูŠุฒ ุงู„ z
1056
+
1057
+ 265
1058
+ 00:24:01,580 --> 00:24:07,240
1059
+ ู„ู…ู†ุŸ ู„ ุงู„ x bar ู„ุฃู† ุฃู†ุง ู…ุด ู‡ุชูƒู„ู… ุนู† ุงู„ x ุฎุงู„ุต ุงู„ z
1060
+
1061
+ 266
1062
+ 00:24:07,240 --> 00:24:10,700
1063
+ value for the same distribution of the mean ู„ุฃู†
1064
+
1065
+ 267
1066
+ 00:24:10,700 --> 00:24:16,920
1067
+ ุฃู†ุง ุนุงูŠุฒ ุงู„ z ู„ ุงู„ x bar ุงูŠุด
1068
+
1069
+ 268
1070
+ 00:24:16,920 --> 00:24:23,360
1071
+ ุญุงุณุฉ ู‡ูˆ ู‡ู†ุง ูƒู„ ุญุงุฌุฉ ู…ุง ู„ูˆ ุญุณุจุช ุงู„ x ุจ x bar ูˆ ูŠุตูŠุฑ
1072
+
1073
+ 269
1074
+ 00:24:23,360 --> 00:24:24,040
1075
+ ู‡ูŠ ุงู„ x bar
1076
+
1077
+ 270
1078
+ 00:24:27,130 --> 00:24:35,790
1079
+ ู…ุนูŠู†ุฉ ุณู…ูŠู† ู„ู„ X bar ุณูŠุฌู…ุง ู„ู„ X bar ู†ูุณ
1080
+
1081
+ 271
1082
+ 00:24:35,790 --> 00:24:44,550
1083
+ ุงู„ mean of X bar ู†ูุณ ุงู„ population mean ู†ูุณ
1084
+
1085
+ 272
1086
+ 00:24:44,550 --> 00:24:44,710
1087
+ ุงู„ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1088
+
1089
+ 273
1090
+ 00:24:44,710 --> 00:24:44,790
1091
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1092
+
1093
+ 274
1094
+ 00:24:44,790 --> 00:24:44,790
1095
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1096
+
1097
+ 275
1098
+ 00:24:44,790 --> 00:24:44,810
1099
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1100
+
1101
+ 276
1102
+ 00:24:44,810 --> 00:24:44,810
1103
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1104
+
1105
+ 277
1106
+ 00:24:44,810 --> 00:24:44,810
1107
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1108
+
1109
+ 278
1110
+ 00:24:44,810 --> 00:24:44,890
1111
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1112
+
1113
+ 279
1114
+ 00:24:44,890 --> 00:24:44,890
1115
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1116
+
1117
+ 280
1118
+ 00:24:44,890 --> 00:24:45,090
1119
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1120
+
1121
+ 281
1122
+ 00:24:45,090 --> 00:24:45,090
1123
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1124
+
1125
+ 282
1126
+ 00:24:45,090 --> 00:24:45,090
1127
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1128
+
1129
+ 283
1130
+ 00:24:45,090 --> 00:24:45,090
1131
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1132
+
1133
+ 284
1134
+ 00:24:45,090 --> 00:24:45,150
1135
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1136
+
1137
+ 285
1138
+ 00:24:45,150 --> 00:24:45,350
1139
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1140
+
1141
+ 286
1142
+ 00:24:45,350 --> 00:24:45,370
1143
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1144
+
1145
+ 287
1146
+ 00:24:45,370 --> 00:24:45,370
1147
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1148
+
1149
+ 288
1150
+ 00:24:45,370 --> 00:24:45,370
1151
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1152
+
1153
+ 289
1154
+ 00:24:45,370 --> 00:24:45,610
1155
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1156
+
1157
+ 290
1158
+ 00:24:45,610 --> 00:24:49,870
1159
+ population mean ู†ูุณ ุงู„ population mean ู†ูุณ ุงู„
1160
+
1161
+ 291
1162
+ 00:24:49,870 --> 00:24:50,810
1163
+ population mean
1164
+
1165
+ 292
1166
+ 00:24:55,680 --> 00:24:58,960
1167
+ x bar minus the mean divided by sigma over square
1168
+
1169
+ 293
1170
+ 00:24:58,960 --> 00:25:03,260
1171
+ root of n ู‡ุฐุง ุงู„ุงุฎุชู„ุงู ุนู† chapter 6 ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡
1172
+
1173
+ 294
1174
+ 00:25:03,260 --> 00:25:06,020
1175
+ ุจุฏู„ ู…ุง ู†ุชุนุงู…ู„ ู…ุน ุงู„ x ุงู„ values ู†ูุณู‡ุง ู‡ู†ุงุฎุฏ mean
1176
+
1177
+ 295
1178
+ 00:25:06,020 --> 00:25:11,180
1179
+ ุงู„ mean ุชุจุนู‡ู… ูˆ ุงู„ู‚ุงู†ูˆู† ู‡ูŠุตูŠุฑ ุจุฏู„ x ู‡ุตูŠุฑ x bar
1180
+
1181
+ 296
1182
+ 00:25:11,180 --> 00:25:14,880
1183
+ minus the same mean mu population mean divided by
1184
+
1185
+ 297
1186
+ 00:25:14,880 --> 00:25:18,700
1187
+ instead of sigma we have sigma over square root of
1188
+
1189
+ 298
1190
+ 00:25:18,700 --> 00:25:20,460
1191
+ n ู‡ุฐุง sigma of x
1192
+
1193
+ 299
1194
+ 00:25:28,690 --> 00:25:35,050
1195
+ ุฃูŠ ุณุคุงู„ุŒ ุฃูŠ ุงุณุชูุณุงุฑ ุฅุฐุง ุฃุฎุฏู†ุง ุซู„ุงุซ ู†ู‚ุทุฉ ุงู„ู…ูŠู†ุง ุงู„ู€
1196
+
1197
+ 300
1198
+ 00:25:35,050 --> 00:25:38,310
1199
+ x bar ู…ูŠูˆุŒ ุณูŠุฌู…ุง x bar ุณูŠุฌู…ุง over square root of
1200
+
1201
+ 301
1202
+ 00:25:38,310 --> 00:25:42,550
1203
+ nุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉุŒ ูุฅู† x bar ุฃูŠุถู‹ุง ุนุงู…ุฉ ู…ุน
1204
+
1205
+ 302
1206
+ 00:25:42,550 --> 00:25:45,790
1207
+ ู…ูŠู†ุง ู…ูŠูˆุŒ ูˆุณุชุงู†ุฏุฑุจูŠุชุดู† ุณูŠุฌู…ุง over square root of
1208
+
1209
+ 303
1210
+ 00:25:45,790 --> 00:25:50,850
1211
+ nุŒ ูˆุงู„ุฃู…ุฑ ุฏุงุฆู…ู‹ุงุŒ ุณูŠุฌู…ุง x bar ุฃู‚ู„ ู…ู† ุณูŠุฌู…ุงุŒ
1212
+
1213
+ 304
1214
+ 00:25:50,850 --> 00:25:54,990
1215
+ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุฃู† ุงู„ุฅุฎุทุงุฑ ุงู„ุนุงู… ูŠุชุฎู„ุต ุนู†ุฏู…ุง ุชุฒูŠุฏ
1216
+
1217
+ 305
1218
+ 00:25:54,990 --> 00:25:55,350
1219
+ ุตู…ูŠู… ุงู„ู…ุฌู…ูˆุนุฉ.
1220
+
1221
+ 306
1222
+ 00:25:58,980 --> 00:26:03,680
1223
+ ุงู„ุงู† ุงู†ุธุฑูˆุง ุฅู„ู‰ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุตุญูŠูุงุช ู„ุฏูŠู†ุง ุตุญูŠูุฉ ู„ู€ X
1224
+
1225
+ 307
1226
+ 00:26:03,680 --> 00:26:06,860
1227
+ ูˆุตุญูŠูุฉ
1228
+
1229
+ 308
1230
+ 00:26:06,860 --> 00:26:17,140
1231
+ ู„ู€ Xยฏ ุงุฐุง ูƒุงู†ุช ู…ูŠุงู† X ู…ูŠูˆู† ุงูŠุถุง ู…ูŠุงู† Xยฏ ู…ูŠุงู† Xยฏ
1232
+
1233
+ 309
1234
+ 00:26:17,140 --> 00:26:26,300
1235
+ ู…ูŠูˆู†ุจุนุถ ุงู„ู…ู‚ุงุจู„ุงุช ู„ุฏูŠู‡ุง ู†ูุณ ุงู„ู€ mean ุงู„ู€ x ูˆ ุงู„ู€ x
1236
+
1237
+ 310
1238
+ 00:26:26,300 --> 00:26:29,720
1239
+ bar ูŠู„ู‡ู… ู†ูุณ ุงู„ู€ mean ุงู„ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ุฃูˆู„ ุงู† ุงู„ู€
1240
+
1241
+ 311
1242
+ 00:26:29,720 --> 00:26:33,560
1243
+ mean ู„ ุงู„ x bar equal to mu ู†ุจุทู„ุน ุนู„ู‰ ุงู„ sigma ู„
1244
+
1245
+ 312
1246
+ 00:26:33,560 --> 00:26:38,100
1247
+ ุงู„ x for example suppose this is the graph for x
1248
+
1249
+ 313
1250
+ 00:26:38,100 --> 00:26:46,060
1251
+ so sigma x look
1252
+
1253
+ 314
1254
+ 00:26:46,060 --> 00:26:51,510
1255
+ at the corresponding one ุงู„ู…ู‚ุงุจู„ุฉ ู„ู‡ุงุจุฑุงุญุธ ู…ูŠู†
1256
+
1257
+ 315
1258
+ 00:26:51,510 --> 00:26:55,430
1259
+ ุงู„ุฃูƒุจุฑุŸ ุจุงู„ุฃูˆู„ู‰ sigma x greater than sigma x bar
1260
+
1261
+ 316
1262
+ 00:26:55,430 --> 00:27:03,350
1263
+ ุฅุฐุง always graph for x bar is narrower ุฃุถูŠู‚ ู…ู† ุงู„
1264
+
1265
+ 317
1266
+ 00:27:03,350 --> 00:27:06,690
1267
+ graph ุชุจุน ุงู„ x ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ which one is less
1268
+
1269
+ 318
1270
+ 00:27:06,690 --> 00:27:12,870
1271
+ spreadุŸ ู…ูŠู† ู‚ุงู„ุช ุดู‡ุฏุชู‡ุŸ graph a,bุŒ so b is less
1272
+
1273
+ 319
1274
+ 00:27:12,870 --> 00:27:17,430
1275
+ spread it means x bar has less spread distribution
1276
+
1277
+ 320
1278
+ 00:27:17,430 --> 00:27:21,700
1279
+ thanูˆุงุถุญ ุฃู† ุณูŠุฌู…ุง X ุจุงุฑ ุงู„ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ ุงู„ุฃูˆู„
1280
+
1281
+ 321
1282
+ 00:27:21,700 --> 00:27:29,600
1283
+ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† X ุจู„ุงุญุธ ุงู„ mean ู„ู„ X bar ู†ูุณ ุงู„
1284
+
1285
+ 322
1286
+ 00:27:29,600 --> 00:27:36,400
1287
+ population mean ู„ู…ุง ูŠูƒูˆู† ุงู„ mean ู„ู„ X bar ุจูŠุณูˆุก
1288
+
1289
+ 323
1290
+ 00:27:36,400 --> 00:27:42,560
1291
+ ู…ูŠูˆ in this case X bar is called unbiased
1292
+
1293
+ 324
1294
+ 00:27:42,560 --> 00:27:45,480
1295
+ estimator
1296
+
1297
+ 325
1298
+ 00:27:48,460 --> 00:27:51,660
1299
+ ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุงู„ู€ mean ู„ู‡ ุงู„ู€ x bar ุจุตูˆุฑุฉ ู…ูŠูˆ
1300
+
1301
+ 326
1302
+ 00:27:51,660 --> 00:27:59,160
1303
+ ู†ุณู…ูŠู‡ unbiased estimator unbiased ู…ุนู†ุงู‡ ุบูŠุฑ ู…ุชุญูŠุฒ
1304
+
1305
+ 327
1306
+ 00:27:59,160 --> 00:28:03,420
1307
+ ูŠุนู†ูŠ ู‚ูŠู…ุชู‡ ู…ุชูุฑุฌุด ุนู† population mean ูุงู„ mean ู„ ุงู„
1308
+
1309
+ 328
1310
+ 00:28:03,420 --> 00:28:09,740
1311
+ x bar is always equal to ู…ูŠูˆ if mean of x bar
1312
+
1313
+ 329
1314
+ 00:28:09,740 --> 00:28:12,160
1315
+ equals to ู…ูŠูˆ this means x bar is unbiased
1316
+
1317
+ 330
1318
+ 00:28:12,160 --> 00:28:16,460
1319
+ estimator ูŠุนู†ูŠ ุงุนุชุจุฑู‡ ุงู„ุขู† ู„ูˆ ุงู„ mean ู„ ุงู„ x bar
1320
+
1321
+ 331
1322
+ 00:28:16,460 --> 00:28:18,040
1323
+ ุจุตูˆุฑุฉ ู…ูŠูˆ ู…ุนู†ุงู‡ x bar ู…ุงู„ู‡
1324
+
1325
+ 332
1326
+ 00:28:23,930 --> 00:28:32,730
1327
+ ุงู„ุณูŠู…ุงุชุฑ ู…ู‚ุฏุฑ ูŠุนู†ูŠ X bar ู…ู‚ุฏุฑ ุบูŠุฑ ู…ุชุญูŠุฒ ูƒู…ุง
1328
+
1329
+ 333
1330
+ 00:28:32,730 --> 00:28:36,570
1331
+ ุฐูƒุฑู†ุงุŒ ูƒู…ุง ูŠุฒุฏุงุฏ NุŒ ุณูŠุฌู…ุน X bar ูŠุชู‚ู„
1332
+
1333
+ 334
1334
+ 00:28:42,600 --> 00:28:50,400
1335
+ ุงู„ุฑุญู„ูŠุฉ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ
1336
+
1337
+ 335
1338
+ 00:28:50,400 --> 00:28:53,020
1339
+ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ
1340
+
1341
+ 336
1342
+ 00:28:53,020 --> 00:28:55,860
1343
+ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ
1344
+
1345
+ 337
1346
+ 00:28:55,860 --> 00:29:00,080
1347
+ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ
1348
+
1349
+ 338
1350
+ 00:29:00,080 --> 00:29:00,800
1351
+ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ
1352
+
1353
+ 339
1354
+ 00:29:00,800 --> 00:29:08,700
1355
+ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠุบุฉ ุฃูƒุชุฑ ู„ุตูŠ
1356
+
1357
+ 340
1358
+ 00:29:10,170 --> 00:29:14,410
1359
+ ู„ู†๏ฟฝ๏ฟฝุณ ุงู„ุงุชุฌุงู‡ ุงู„ spread ู…ุงู„ูˆ ูˆุงุถุญ ุฃูˆุณุน ู…ู† ุงู„ graph
1360
+
1361
+ 341
1362
+ 00:29:14,410 --> 00:29:19,170
1363
+ ุงู„ุชุงู†ูŠ ู…ุน ูƒุฏู‡ ุงู„ sigma x bar ุงู„ุฃูˆู„ ู„ู„ุฃุญู…ุฑ ุงู„ sigma
1364
+
1365
+ 342
1366
+ 00:29:19,170 --> 00:29:26,070
1367
+ x bar ู„ู„ red is more than sigma x bar ู„ู…ู†ุŸ ู„ู„ blue
1368
+
1369
+ 343
1370
+ 00:29:26,070 --> 00:29:30,630
1371
+ ูˆุงุถุญ ู‡ูŠูƒ ุงู„ sigma x bar ู„ู„ ุฃุญู…ุฑ ุงู„ู„ูŠ ู‡ู†ุง ุฃุตุบุฑ ู…ู†ูƒ
1372
+
1373
+ 344
1374
+ 00:29:31,760 --> 00:29:34,500
1375
+ ู‡ุฐุง ุงู„ู€ comparison between two different
1376
+
1377
+ 345
1378
+ 00:29:34,500 --> 00:29:38,840
1379
+ distributions with the same mean both have the
1380
+
1381
+ 346
1382
+ 00:29:38,840 --> 00:29:44,720
1383
+ same mean but different standard now let's
1384
+
1385
+ 347
1386
+ 00:29:44,720 --> 00:29:48,760
1387
+ look how can we determine an interval including
1388
+
1389
+ 348
1390
+ 00:29:48,760 --> 00:29:52,720
1391
+ fixed proportion of the assemblages
1392
+
1393
+ 349
1394
+ 00:30:14,950 --> 00:30:21,950
1395
+ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู†ุจุญุซ ุนู† ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ
1396
+
1397
+ 350
1398
+ 00:30:21,950 --> 00:30:26,850
1399
+ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ
1400
+
1401
+ 351
1402
+ 00:30:26,850 --> 00:30:27,230
1403
+ ุฅู„ู‰ ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ ุฅู„ู‰
1404
+
1405
+ 352
1406
+ 00:30:27,230 --> 00:30:29,430
1407
+ ุชุญุฏูŠุฏ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ
1408
+
1409
+ 353
1410
+ 00:30:29,430 --> 00:30:36,750
1411
+ ุชุญุฏูŠุฏ ููŠ ู…ุฑุญู„ุฉ ุฃูˆ ููŠ ูุชุฑุฉ ูŠุญุชุงุฌ ุฅู„ู‰ ุชุญุฏูŠุฏ
1412
+
1413
+ 354
1414
+ 00:30:39,420 --> 00:30:45,840
1415
+ ู…ู‚ุงุฑู†ุฉ ู…ุชุฌุงุฑูŠุฉ ุญูˆู„ ู…ูŠูˆ ุงู„ุชูŠ ุณุชุญุชูˆูŠ 95% ู…ู† ู…ุตุงุฏุฑ
1416
+
1417
+ 355
1418
+ 00:30:45,840 --> 00:30:57,580
1419
+ ุงู„ูˆุซูŠู‚ุฉ ูŠุนู†ูŠ ุจุฏู†ุง ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
1420
+
1421
+ 356
1422
+ 00:30:57,580 --> 00:31:08,440
1423
+ 95% ู…ู† ู…ุตุงุฏุฑ ุงู„ูˆุซูŠู‚ุฉ ูŠุนู†ูŠ ุนู†ุฏู…ุง ู…ูŠูˆ ูŠูƒูˆูŠู† 368
1424
+
1425
+ 357
1426
+ 00:31:09,510 --> 00:31:21,330
1427
+ ุณูŠุฌู…ุง 15 ูˆู…ุฌู…ูˆุนู‡ 25 ุฏุนูˆู†ุง
1428
+
1429
+ 358
1430
+ 00:31:21,330 --> 00:31:29,010
1431
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… 95 ุงุชุตุงู„ ู…ุคูƒุฏ ู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐุง
1432
+
1433
+ 359
1434
+ 00:31:29,010 --> 00:31:38,570
1435
+ ุงู„ู†ู‚ุทุฉ ูˆู‡ูˆ ู†ู‚ุทุฉ ุฃุฎุฑู‰ ู…ูŠุฒูŠู‡ ุณูƒูˆุฑx bar minus the
1436
+
1437
+ 360
1438
+ 00:31:38,570 --> 00:31:48,590
1439
+ mean divided by sigma over square root of n ู„ุฐู„ูƒ
1440
+
1441
+ 361
1442
+ 00:31:48,590 --> 00:31:51,450
1443
+ ู†ุจุญุซ ุนู† ู…ู‚ุงุทุน ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1444
+
1445
+ 362
1446
+ 00:31:51,450 --> 00:31:52,290
1447
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1448
+
1449
+ 363
1450
+ 00:31:52,290 --> 00:31:52,710
1451
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1452
+
1453
+ 364
1454
+ 00:31:52,710 --> 00:31:54,810
1455
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1456
+
1457
+ 365
1458
+ 00:31:54,810 --> 00:31:54,810
1459
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1460
+
1461
+ 366
1462
+ 00:31:54,810 --> 00:31:54,830
1463
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1464
+
1465
+ 367
1466
+ 00:31:54,830 --> 00:31:54,830
1467
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1468
+
1469
+ 368
1470
+ 00:31:54,830 --> 00:31:54,830
1471
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1472
+
1473
+ 369
1474
+ 00:31:54,830 --> 00:32:07,150
1475
+ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ ู…ุชุณุงุจู‚ุฉ
1476
+
1477
+ 370
1478
+ 00:32:08,560 --> 00:32:13,540
1479
+ ุฃุถุฑุจ ุถุฑุจ ุชุจุงุฏู„ cross multiplication x-x bar-mu
1480
+
1481
+ 371
1482
+ 00:32:13,540 --> 00:32:20,420
1483
+ equals z sigma over square root of n ู…ุธุจูˆุท ุถุฑุจ
1484
+
1485
+ 372
1486
+ 00:32:20,420 --> 00:32:27,080
1487
+ ุชุจุงุฏู„ x bar-mu equals z sigma over square root of
1488
+
1489
+ 373
1490
+ 00:32:27,080 --> 00:32:34,570
1491
+ n ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ x bar ู…ุด ุจุชุณุงูˆูŠ mu plus zุณูŠุฌู…ุง
1492
+
1493
+ 374
1494
+ 00:32:34,570 --> 00:32:36,070
1495
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ
1496
+
1497
+ 375
1498
+ 00:32:36,070 --> 00:32:38,430
1499
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1500
+
1501
+ 376
1502
+ 00:32:38,430 --> 00:32:48,130
1503
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ
1504
+
1505
+ 377
1506
+ 00:32:48,130 --> 00:32:50,490
1507
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1508
+
1509
+ 378
1510
+ 00:32:50,490 --> 00:32:51,690
1511
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ
1512
+
1513
+ 379
1514
+ 00:32:51,690 --> 00:32:53,710
1515
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1516
+
1517
+ 380
1518
+ 00:32:53,710 --> 00:33:02,850
1519
+ ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง
1520
+
1521
+ 381
1522
+ 00:33:02,850 --> 00:33:08,930
1523
+ ุงูˆ ุณูŠู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุจู…ุง ุฃู† ุงู„ุงู†ุชูุงู„ ูŠุญุชูˆูŠ ุนู„ู‰ 95%
1524
+
1525
+ 382
1526
+ 00:33:08,930 --> 00:33:11,870
1527
+ ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉุŒ 5% ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉ
1528
+
1529
+ 383
1530
+ 00:33:11,870 --> 00:33:13,650
1531
+ ุณุชูƒูˆู† ุฎุงุฑุฌู‡ุง.
1532
+
1533
+ 384
1534
+ 00:33:19,490 --> 00:33:22,670
1535
+ ูƒู… ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ ZุŸ
1536
+
1537
+ 385
1538
+ 00:33:27,400 --> 00:33:32,340
1539
+ look at the table in the body of the table at the
1540
+
1541
+ 386
1542
+ 00:33:32,340 --> 00:33:39,140
1543
+ value of 2.5 means we are looking for 0.25 ุทู„๏ฟฝ๏ฟฝ
1544
+
1545
+ 387
1546
+ 00:33:39,140 --> 00:33:45,340
1547
+ ุงู„ุฌุฏูˆู„ ุนู„ู‰ ุงู„ู€ 0.25 ุทู„ุน ุงู„ุฌุฏูˆู„ ุงู„ุฌุฏูˆู„ ุชุจู‚ู‰ ุงู„ู€ z
1548
+
1549
+ 388
1550
+ 00:33:45,340 --> 00:33:50,820
1551
+ negative ุฃูƒูŠุฏ ู„ุฃู†ู‡ ู‚ูŠู…ุฉ ุตุบูŠุฑุฉ ุฅูŠุด ุจุทู„ุน ุงู„ z score
1552
+
1553
+ 389
1554
+ 00:33:50,820 --> 00:33:52,760
1555
+ ุงู„ z ุงู„ู…ู‚ุงุจู„ ู„ู‡ุง
1556
+
1557
+ 390
1558
+ 00:33:56,270 --> 00:34:11,590
1559
+ ู…ุงุฐุง ูŠุนู†ูŠ Z value ุนู†ุฏ 0.25ุŸ 1
1560
+
1561
+ 391
1562
+ 00:34:11,590 --> 00:34:18,530
1563
+ .96
1564
+
1565
+ 392
1566
+ 00:34:22,930 --> 00:34:29,790
1567
+ ุทุจุนุง ุจุฏูˆุฑุฉ ุนู„ู‰ 0 to 5 ู‡ุงูŠ ุงู„ 0 to 5 ุฏู‡ ุงูŠุด ุจุทู„ุน
1568
+
1569
+ 393
1570
+ 00:34:29,790 --> 00:34:37,750
1571
+ ุงู„ุฌูˆุงุจ ู†ูŠุฌุงุชูŠุจ ู†ูŠุฌุงุชูŠุจ one nine under six so this
1572
+
1573
+ 394
1574
+ 00:34:37,750 --> 00:34:42,630
1575
+ value is negative one point nine six ุงู„ู„ูŠ ุนู„ู‰
1576
+
1577
+ 395
1578
+ 00:34:42,630 --> 00:34:50,850
1579
+ ุงู„ุดู…ุงู„ ูˆ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู†ูุณู‡ุง ูˆุงุญุฏุฉ
1580
+
1581
+ 396
1582
+ 00:34:50,850 --> 00:34:55,380
1583
+ ู…ูˆุฌุฉ ุจูˆุงุญุฏุฉ ุณุงู„ู‚ุฅุฐุง ุจุฏูˆุฑูŠ ุนู„ู‰ 0.5 ููŠ ุงู„ู€ table ุฌูˆุง
1584
+
1585
+ 397
1586
+ 00:34:55,380 --> 00:35:01,120
1587
+ ุฅุฐุง
1588
+
1589
+ 398
1590
+ 00:35:01,120 --> 00:35:03,700
1591
+ from the standardized normal table the z score
1592
+
1593
+ 399
1594
+ 00:35:03,700 --> 00:35:10,880
1595
+ will with 2.5 below it is negative 1.96 and above
1596
+
1597
+ 400
1598
+ 00:35:10,880 --> 00:35:16,560
1599
+ it is 1.96 now
1600
+
1601
+ 401
1602
+ 00:35:16,560 --> 00:35:19,460
1603
+ let's see how can we calculate the lower limit
1604
+
1605
+ 402
1606
+ 00:35:23,700 --> 00:35:28,460
1607
+ ู„ูˆ ุจุฏู‰ ุงุญุณุจ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ู‰ ุนู„ูŠ ุงู„ุดู…ุงู„ ู‡ู‰ ู†ุณู…ูŠู‡ุง X bar
1608
+
1609
+ 403
1610
+ 00:35:28,460 --> 00:35:35,180
1611
+ lower L stands for lower limit equals
1612
+
1613
+ 404
1614
+ 00:35:35,180 --> 00:35:40,360
1615
+ ุจุชุทู„ุน ุงู„ X bar ุงู„ู„ู‰ ู‡ู†ุง X
1616
+
1617
+ 405
1618
+ 00:35:40,360 --> 00:35:49,820
1619
+ bar lower ูˆู‡ู‰ ุจุชุทู„ุน X bar upper ุงู„ู‚ุงู†ูˆู† ู‡ู‰ Mu plus
1620
+
1621
+ 406
1622
+ 00:35:49,820 --> 00:35:55,710
1623
+ Z Sigma over square root of M ุงู„ู„ู‰ ู…ุด ุณูˆู‰ุงู„ู€ 368
1624
+
1625
+ 407
1626
+ 00:35:55,710 --> 00:36:06,330
1627
+ ุงู„ู€ z ุงูŠุด ุณุงูˆูŠุฉ ุนู†ุฏู‰ุŸ negative 1.96 ูˆ ุงู„ sigma 15
1628
+
1629
+ 408
1630
+ 00:36:06,330 --> 00:36:11,150
1631
+ ุนู„ู‰ square root of 25 ู…ุฑุฉ ุชุงู†ูŠุฉ ู†ุทู„ุน ุงู„ x bar ู„ู„
1632
+
1633
+ 409
1634
+ 00:36:11,150 --> 00:36:16,110
1635
+ lower limit ู‡ุงูŠ ุงู„ู‚ูˆุงู†ูŠู† ุชุจุน ุงู„ x bar ู…ูŠูˆ ุจู„ุณ ุฒูŠ
1636
+
1637
+ 410
1638
+ 00:36:16,110 --> 00:36:23,230
1639
+ sigma over square root of n ู…ูŠูˆ 368z-196 ุณูŠุฌู…ุง 15
1640
+
1641
+ 411
1642
+ 00:36:23,230 --> 00:36:28,310
1643
+ ุน 25 ู„ูˆ ุญุณุจุชู‡ู… 362
1644
+
1645
+ 412
1646
+ 00:36:28,310 --> 00:36:36,410
1647
+ .12 ู„ูˆ x bar upper limit for this point we have
1648
+
1649
+ 413
1650
+ 00:36:36,410 --> 00:36:45,990
1651
+ the same 368 z is plus instead of negative divided
1652
+
1653
+ 414
1654
+ 00:36:45,990 --> 00:36:56,390
1655
+ by square root of 25ู†ุญู† ู†ุญุตู„ ุนู„ู‰ 373.88 ู…ุน
1656
+
1657
+ 415
1658
+ 00:36:56,390 --> 00:37:04,010
1659
+ ุงูƒูŠุฏ ุงุชุทู„ุน ุงู„ lower limit 362.12 ูˆ ุงู„ upper 373.88
1660
+
1661
+ 416
1662
+ 00:37:04,010 --> 00:37:08,130
1663
+ ุงุฐุง
1664
+
1665
+ 417
1666
+ 00:37:08,130 --> 00:37:10,550
1667
+ ู‡ู‰ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุงู„ x bar ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง over
1668
+
1669
+ 418
1670
+ 00:37:10,550 --> 00:37:15,790
1671
+ square root of x ุชุฐูƒุฑ ุงู„ x ุงู„ู„ู‰ ุงุฎุฏู†ุงู‡ุง ู‚ุจู„ู‡ุงู„ูˆ
1672
+
1673
+ 419
1674
+ 00:37:15,790 --> 00:37:18,250
1675
+ ูƒู†ุง ู†ุทู„ุน ุงู„ู€ Corresponding xy ุงู„ู„ูŠ ูƒุงู† ูƒู„ู‡ ุนุจุงุฑุฉ
1676
+
1677
+ 420
1678
+ 00:37:18,250 --> 00:37:24,590
1679
+ ุนู† ุงุดูŠ ู…ูŠูˆ ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1680
+
1681
+ 421
1682
+ 00:37:24,590 --> 00:37:25,830
1683
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1684
+
1685
+ 422
1686
+ 00:37:25,830 --> 00:37:27,050
1687
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1688
+
1689
+ 423
1690
+ 00:37:27,050 --> 00:37:30,390
1691
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1692
+
1693
+ 424
1694
+ 00:37:30,390 --> 00:37:32,710
1695
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง
1696
+
1697
+ 425
1698
+ 00:37:32,710 --> 00:37:42,690
1699
+ ู…ุธุจูˆุท ู…ูŠูˆ ุจู„ุณ ุฒูŠ ุณูŠุฌู…ุง ู…ุธุจูˆุท ู…ูŠูˆ
1700
+
1701
+ 426
1702
+ 00:37:42,690 --> 00:37:53,200
1703
+ ุจู„ุณ362.12 ูˆ 373.88 ุฅุฐุง ุทู„ุนุช ูƒู„ ุงู„ู€ sample means
1704
+
1705
+ 427
1706
+ 00:37:53,200 --> 00:38:03,400
1707
+ ู‡ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู† ุจูŠู† 362 ูˆ 373 any question?
1708
+
1709
+ 428
1710
+ 00:38:04,300 --> 00:38:06,960
1711
+ so again in this example we have
1712
+
1713
+ 429
1714
+ 00:38:10,230 --> 00:38:13,170
1715
+ ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1716
+
1717
+ 430
1718
+ 00:38:13,170 --> 00:38:16,010
1719
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1720
+
1721
+ 431
1722
+ 00:38:16,010 --> 00:38:22,130
1723
+ ุงู„ู…ุนุธู…
1724
+
1725
+ 432
1726
+ 00:38:22,130 --> 00:38:24,130
1727
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1728
+
1729
+ 433
1730
+ 00:38:24,130 --> 00:38:25,830
1731
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1732
+
1733
+ 434
1734
+ 00:38:25,830 --> 00:38:26,630
1735
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1736
+
1737
+ 435
1738
+ 00:38:26,630 --> 00:38:26,650
1739
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1740
+
1741
+ 436
1742
+ 00:38:26,650 --> 00:38:26,690
1743
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1744
+
1745
+ 437
1746
+ 00:38:26,690 --> 00:38:37,430
1747
+ ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู… ุงู„ู…ุนุธู…
1748
+
1749
+ 438
1750
+ 00:38:37,930 --> 00:38:42,510
1751
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง
1752
+
1753
+ 439
1754
+ 00:38:42,510 --> 00:38:44,610
1755
+ ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1756
+
1757
+ 440
1758
+ 00:38:44,610 --> 00:38:45,010
1759
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1760
+
1761
+ 441
1762
+ 00:38:45,010 --> 00:38:46,730
1763
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1764
+
1765
+ 442
1766
+ 00:38:46,730 --> 00:38:47,870
1767
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1768
+
1769
+ 443
1770
+ 00:38:47,870 --> 00:38:49,330
1771
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1772
+
1773
+ 444
1774
+ 00:38:49,330 --> 00:38:49,750
1775
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1776
+
1777
+ 445
1778
+ 00:38:49,750 --> 00:38:49,750
1779
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1780
+
1781
+ 446
1782
+ 00:38:49,750 --> 00:38:52,150
1783
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช
1784
+
1785
+ 447
1786
+ 00:38:52,150 --> 00:39:05,090
1787
+ ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌุชู…ุน ุนุงู…ุฉ ุฅุฐุง
1788
+
1789
+ 448
1790
+ 00:39:05,090 --> 00:39:11,180
1791
+ ูƒุงู†ุชุซู… ู†ุญุตู„ ุนู„ู‰ ู‡ุฐุง ุงู„ู†ุชูŠุฌุฉ ุฅุฐุง ุฃุฎุฐู†ุง ู…ุฌู…ูˆุนุงุช
1792
+
1793
+ 449
1794
+ 00:39:11,180 --> 00:39:14,380
1795
+ ุนุดูˆุงุฆูŠุฉ ู…ู† ู…ุฌู…ูˆุนุงุช ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1796
+
1797
+ 450
1798
+ 00:39:14,380 --> 00:39:18,000
1799
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1800
+
1801
+ 451
1802
+ 00:39:18,000 --> 00:39:22,580
1803
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1804
+
1805
+ 452
1806
+ 00:39:22,580 --> 00:39:23,680
1807
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1808
+
1809
+ 453
1810
+ 00:39:23,680 --> 00:39:23,740
1811
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1812
+
1813
+ 454
1814
+ 00:39:23,740 --> 00:39:23,740
1815
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1816
+
1817
+ 455
1818
+ 00:39:23,740 --> 00:39:35,160
1819
+ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ ุนุดูˆุงุฆูŠุฉ
1820
+
1821
+ 456
1822
+ 00:39:35,160 --> 00:39:42,040
1823
+ ุนูˆุงุถุญ ู„ุงู† ู‡ู†ุดุชุบู„ ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ how can we determine
1824
+
1825
+ 457
1826
+ 00:39:42,040 --> 00:39:45,420
1827
+ the sample distribution of the sample meal if the
1828
+
1829
+ 458
1830
+ 00:39:45,420 --> 00:39:48,480
1831
+ population is not normal ูŠุนู†ูŠ ู†ูุณ ุดุบู„ู†ุง ุงู„ู„ูŠ
1832
+
1833
+ 459
1834
+ 00:39:48,480 --> 00:39:53,340
1835
+ ุฃุฎุฏู†ุงู‡ ุงู„ูŠูˆู… ุจุณ ู„ูˆ ูƒุงู† ุงู„ุชูˆุฒูŠุน ู…ุงู„ู‡ ู…ุด normal ุฎู„ุงุต
1836
+
1837
+ 460
1838
+ 00:39:53,340 --> 00:39:54,940
1839
+ that's all
1840
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/9aoXahoj9bU.srt ADDED
@@ -0,0 +1,2217 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:24,910
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู†ุณุชู…ุฑ ููŠ ุงู„ุญู„ู‚ุฉ
4
+
5
+ 2
6
+ 00:00:24,910 --> 00:00:32,310
7
+ ุงู„ุชุงุณุนุฉ 9 ุณุฃุจุฏุฃ ู…ุน ู…ูˆุถูˆุน ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุณูŠุงุณูŠุฉ
8
+
9
+ 3
10
+ 00:00:32,310 --> 00:00:38,610
11
+ ูˆุงู„ู‚ูŠู… ุงู„ุฎุงุตุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุณูŠูƒูˆู† ู‡ู†ุงูƒ ุฃุดูŠุงุก ูƒุซูŠุฑุฉ
12
+
13
+ 4
14
+ 00:00:38,610 --> 00:00:45,010
15
+ ูƒูŠู ู†ุณุชุฎุฏู… ู‚ูŠู… ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุณูŠุงุณูŠุฉ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰
16
+
17
+ 5
18
+ 00:00:45,010 --> 00:00:48,790
19
+ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู‚ูŠู… ุงู„ุฎุงุตุฉ
20
+
21
+ 6
22
+ 00:00:50,440 --> 00:00:54,380
23
+ ุงู„ุขู† ุฅุฐุง ูƒุงู†ุช ุงู„ู…ูŠุฒุฉ ุงู„ุนุงู…ู„ุฉ ู‚ุฑูŠุจุฉ ู…ู† ู…ูŠุฒุฉ ุงู„ู…ุฌุชู…ุน
24
+
25
+ 7
26
+ 00:00:54,380 --> 00:00:59,000
27
+ ุงู„ู…ุตุทู„ุญุŒ ูู„ูŠุณ ุงู„ู…ูŠุฒุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ูุชุฑุถุฉ ุฅุฐุง ุชุฐูƒุฑุŒ
28
+
29
+ 8
30
+ 00:00:59,000 --> 00:01:01,620
31
+ ู„ู„ู…ูŠุฒุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ูŠุฒุฉ
32
+
33
+ 9
34
+ 00:01:01,620 --> 00:01:02,160
35
+
36
+
37
+ 10
38
+ 00:01:02,160 --> 00:01:07,900
39
+
40
+
41
+ 11
42
+ 00:01:07,900 --> 00:01:17,400
43
+
44
+
45
+ 12
46
+ 00:01:18,690 --> 00:01:24,630
47
+ ุชู‚ูˆู„ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนุงู…ู„ุฉ ู‚ุฑูŠุจุฉ
48
+
49
+ 13
50
+ 00:01:24,630 --> 00:01:26,610
51
+ ุจู…ุง ููŠู‡ ุงู„ูƒูุงุกุฉ ูƒุงููŠุฉ ู„ู„ู…ุนุงู…ู„ุฉ
52
+
53
+ 14
54
+ 00:01:26,610 --> 00:01:28,470
55
+
56
+
57
+ 15
58
+ 00:01:28,470 --> 00:01:29,690
59
+
60
+
61
+ 16
62
+ 00:01:29,690 --> 00:01:29,730
63
+
64
+
65
+ 17
66
+ 00:01:29,730 --> 00:01:31,030
67
+
68
+
69
+ 18
70
+ 00:01:31,030 --> 00:01:31,150
71
+
72
+
73
+ 19
74
+ 00:01:31,150 --> 00:01:32,650
75
+
76
+
77
+ 20
78
+ 00:01:32,650 --> 00:01:36,890
79
+
80
+
81
+ 21
82
+ 00:01:36,890 --> 00:01:48,170
83
+
84
+
85
+ 22
86
+ 00:01:50,010 --> 00:01:55,090
87
+ ุฐุง ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ุฅุฐุง ูƒุงู† ู‚ูŠู…ุฉ ุงู„ู…ูŠุฒุงู†ูŠุฉ ู‚ุฑูŠุจุฉ ุฌุฏู‹ุง
88
+
89
+ 23
90
+ 00:01:55,090 --> 00:02:00,730
91
+ ู…ู† ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุชุŒ ูู„ู† ู†ู†ุฌุญ ู…ู† ู†ุงู„ ุงู„ุญูŠูˆุงู†ุงุช
92
+
93
+ 24
94
+ 00:02:00,730 --> 00:02:03,250
95
+ ุนู„ู‰ ุงู„ุงุชุตุงู„ ุงู„ุขุฎุฑุŒ ุฅุฐุง ูƒุงู†ุช ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุช
96
+
97
+ 25
98
+ 00:02:03,250 --> 00:02:06,990
99
+ ุจุนูŠุฏุฉ ู…ู† ู…ูŠุฒุงู†ูŠุฉ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ู…ุตุทู„ุญุฉุŒ ูู„ู† ู†ู†ุฌุญ ู…ู†
100
+
101
+ 26
102
+ 00:02:06,990 --> 00:02:10,910
103
+ ู†ุงู„ ุงู„ุญูŠูˆุงู†ุงุชุŒ ูู„ูˆ ูƒุงู†ุช ุจุนูŠุฏุฉ ุนู†ู‡ุŒ ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„
104
+
105
+ 27
106
+ 00:02:10,910 --> 00:02:18,040
107
+ ุงู„ู…ุซุงู„ ุฅุฐุง X ุจุงุฑ ูƒู…ุง ุฐูƒุฑู†ุง 4ุŒ ูุฅุฐุง X ุจุงุฑ ูƒุงู† 10 ู‡ู†ุง
108
+
109
+ 28
110
+ 00:02:18,040 --> 00:02:23,620
111
+ ูŠูˆุฌุฏ ูุฑู‚ ูƒุจูŠุฑ ุจูŠู† ู…ุตุฏุฑ ุงู„ูˆุซูŠู‚ุฉ ูˆ 30 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
112
+
113
+ 29
114
+ 00:02:23,620 --> 00:02:25,320
115
+ ู†ู†ู‚ุฐ ุงู„ู€ Hypothesis ุฏู„ุงู„ุฉ ุงู„ู€ Hypothesis
116
+
117
+ 30
118
+ 00:02:34,120 --> 00:02:38,100
119
+ is far enough to rejected the zero ูƒุฏู‡ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง
120
+
121
+ 31
122
+ 00:02:38,100 --> 00:02:41,740
123
+ ุจูŠู† ุงู„ู€ mean ู„ู„ู€ sample ูˆ ุงู„ู€ population ูŠุนู†ูŠ ูƒุฏู‡
124
+
125
+ 32
126
+ 00:02:41,740 --> 00:02:45,300
127
+ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง ุจูŠู†ู‡ู… ูƒุจูŠุฑ and we can reject null of
128
+
129
+ 33
130
+ 00:02:45,300 --> 00:02:49,320
131
+ it ูŠุนู†ูŠ ูƒุฏู‡ ูŠูƒูˆู† ุงู„ู…ุณุงูุฉ ุจูŠู†ู‡ู… ูƒุจูŠุฑุฉ ุนุดุงู† ุฃู‚ุฏุฑ ุฃู†
132
+
133
+ 34
134
+ 00:02:49,320 --> 00:02:53,420
135
+ ุฃุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ is how far is far enough ู‡ุฐุง
136
+
137
+ 35
138
+ 00:02:53,420 --> 00:02:55,960
139
+ ุงู„ู„ูŠ ุฅุญู†ุง ุจู†ุดูˆู ุนู„ูŠู‡ ู…ู† ุฎู„ุงู„ ุญุงุฌุฉ ุงุณู…ู‡ุง critical
140
+
141
+ 36
142
+ 00:02:55,960 --> 00:03:02,300
143
+ values ุงู„ู€ ุนู†ูˆุงู† ุงู„ุงุตุทู†ุงุนูŠ ู„ุชุฌุงุฑุจ
144
+
145
+ 37
146
+ 00:03:02,300 --> 00:03:09,400
147
+
148
+
149
+ 38
150
+ 00:03:09,400 --> 00:03:10,220
151
+
152
+
153
+ 39
154
+ 00:03:10,220 --> 00:03:10,300
155
+
156
+
157
+ 40
158
+ 00:03:10,300 --> 00:03:14,260
159
+
160
+
161
+ 41
162
+ 00:03:14,260 --> 00:03:27,080
163
+
164
+
165
+ 42
166
+ 00:03:30,010 --> 00:03:38,130
167
+ ู…ุซู„ู‹ุงุŒ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉุŒ ู‡ู†ุงูƒ ุงุชุฌุงู‡ุงุช
168
+
169
+ 43
170
+ 00:03:38,130 --> 00:03:41,970
171
+ ู…ุฎุชู„ูุฉุŒ ูˆุงุญุฏุฉ ุชุณู…ู‰ ู…ุฌู…ูˆุนุฉ ุงุชุฌุงู‡ุงุช ู„ุง ุงุชุฌุงู‡
172
+
173
+ 44
174
+ 00:03:41,970 --> 00:03:46,210
175
+ ูˆุงู„ุซุงู†ูŠุฉ ู…ุฌู…ูˆุนุฉ ุงุชุฌุงู‡ุงุช ู„ุง ุงุชุฌุงู‡
176
+
177
+ 45
178
+ 00:03:51,840 --> 00:03:54,180
179
+ ุชูƒูˆู† ู‡ู†ุงูƒ ุฃู…ุงู…ูŠู†
180
+
181
+ 46
182
+ 00:03:54,180 --> 00:03:54,820
183
+
184
+
185
+ 47
186
+ 00:03:54,820 --> 00:03:57,200
187
+
188
+
189
+ 48
190
+ 00:03:57,200 --> 00:03:57,940
191
+
192
+
193
+ 49
194
+ 00:03:57,940 --> 00:04:00,260
195
+
196
+
197
+ 50
198
+ 00:04:00,260 --> 00:04:02,720
199
+
200
+
201
+ 51
202
+ 00:04:02,720 --> 00:04:03,820
203
+
204
+
205
+ 52
206
+ 00:04:03,820 --> 00:04:09,430
207
+ ู…ุน ุฐู„ูƒ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู†
208
+
209
+ 53
210
+ 00:04:09,430 --> 00:04:10,190
211
+
212
+
213
+ 54
214
+ 00:04:10,190 --> 00:04:11,190
215
+
216
+
217
+ 55
218
+ 00:04:11,190 --> 00:04:14,950
219
+
220
+
221
+ 56
222
+ 00:04:14,950 --> 00:04:15,610
223
+
224
+
225
+ 57
226
+ 00:04:15,610 --> 00:04:18,930
227
+
228
+
229
+ 58
230
+ 00:04:18,930 --> 00:04:23,030
231
+
232
+
233
+ 59
234
+ 00:04:23,030 --> 00:04:24,330
235
+
236
+
237
+ 60
238
+ 00:04:24,330 --> 00:04:35,350
239
+
240
+
241
+ 61
242
+ 00:04:39,620 --> 00:04:45,700
243
+ ุงู„ู„ุญุธุฉ ู‡ูŠ ุงู„ู€ mean ู…ุธุจูˆุท ุงู„ู€ region ู‡ุฏูˆู„ ู…ุง ู„ู‡ู… ุฃุจุนุงุฏ ุนู†
244
+
245
+ 62
246
+ 00:04:45,700 --> 00:04:50,680
247
+ population ุงู„ู€ mean ูุฅุฐุง ูƒุงู† ุฃู†ุง ู…ูˆุฌูˆุฏ ููŠ ุงู„ู€ .. ููŠ
248
+
249
+ 63
250
+ 00:04:50,680 --> 00:04:52,780
251
+ these regions ููŠ ุงู„ู€ rejection region then we
252
+
253
+ 64
254
+ 00:04:52,780 --> 00:04:56,140
255
+ reject the null hypothesis so suppose we are in
256
+
257
+ 65
258
+ 00:04:56,140 --> 00:05:00,180
259
+ these regions then we reject the null hypothesis
260
+
261
+ 66
262
+ 00:05:00,180 --> 00:05:02,400
263
+ now the question is how can we determine this
264
+
265
+ 67
266
+ 00:05:02,400 --> 00:05:08,870
267
+ region and the other one ู‡ุฐู‡ ุงู„ุณุคุงู„ ู„ู„ู…ุฌู„ุฏ ุงู„ูŠูˆู…
268
+
269
+ 68
270
+ 00:05:08,870 --> 00:05:18,010
271
+ ู‚ุจู„ ุฐู„ูƒ ุงุจุญุซ ุนู† ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุณู…ู‡ุง risk in
272
+
273
+ 69
274
+ 00:05:18,010 --> 00:05:20,910
275
+ decision making using hypothesis testing ู‡ู†ุงูƒ
276
+
277
+ 70
278
+ 00:05:20,910 --> 00:05:24,350
279
+ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุฃูˆู„ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุณู…ู‡ุง type one
280
+
281
+ 71
282
+ 00:05:24,350 --> 00:05:27,530
283
+ type
284
+
285
+ 72
286
+ 00:05:27,530 --> 00:05:31,570
287
+ one error ูŠุนู†ูŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุงู„ู€ definition
288
+
289
+ 73
290
+ 00:05:31,570 --> 00:05:37,950
291
+ ุชุจุนู‡ ู„ู€ type one reject true null hypothesis type
292
+
293
+ 74
294
+ 00:05:37,950 --> 00:05:49,050
295
+ one reject h0 when it is true ุฅุฐุง
296
+
297
+ 75
298
+ 00:05:49,050 --> 00:05:52,050
299
+ ู‡ูŠ ุฃูˆู„ ุชุนุฑูŠู ูŠุฌุจ ุฃู† ุฃุนุฑูู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน
300
+
301
+ 76
302
+ 00:05:52,050 --> 00:06:00,430
303
+ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุฑูุถ h0 ูˆู‡ูˆ ู…ุง ู‚ุงู„ู‡ ู‡ูˆ ุตุญูŠุญ
304
+
305
+ 77
306
+ 00:06:00,430 --> 00:06:03,390
307
+ ุฅุฐุง reject h0 when it is true it is type one
308
+
309
+ 78
310
+ 00:06:03,390 --> 00:06:03,690
311
+ error
312
+
313
+ 79
314
+ 00:06:06,470 --> 00:06:11,090
315
+ ุงู„ู€ type 1 error is a false alarm ูŠุทู„ู‚ ุนู„ูŠู‡ false
316
+
317
+ 80
318
+ 00:06:11,090 --> 00:06:16,390
319
+ alarm ูŠุนู†ูŠ ุชู†ุจูŠู‡ ุฃูˆ ุชุนุฐูŠุฑ ุฃู† ููŠ ุนู†ุฏูŠ ุฎุทุฃ ูุงู„ุฎุทุฃ
320
+
321
+ 81
322
+ 00:06:16,390 --> 00:06:22,930
323
+ ุนุจุงุฑุฉ ุนู† reject h0 when it's zero is true I mean when
324
+
325
+ 82
326
+ 00:06:22,930 --> 00:06:28,720
327
+ it is true I mean when it's zero is true ุฅุฐุง type
328
+
329
+ 83
330
+ 00:06:28,720 --> 00:06:31,960
331
+ one error it means rejection h0 when in fact
332
+
333
+ 84
334
+ 00:06:31,960 --> 00:06:35,960
335
+ it's h0 is true ุฅุฐุง type ุงู„ุฎุทุฃ ู…ู† ู†ูˆุน ุงู„ุฃูˆู„
336
+
337
+ 85
338
+ 00:06:35,960 --> 00:06:41,680
339
+ ู…ุนู†ุงู‡ ุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ ุฅูŠุด ูˆู‡ูŠ ุตุญูŠุญุฉ ุฅุฐุง
340
+
341
+ 86
342
+ 00:06:41,680 --> 00:06:47,960
343
+ ุฃู†ุง ุฏูŠ ุฃุจู‚ู‰ ุฑูุถ h0 ูˆู‡ูŠ ุตุญูŠุญุฉ ุฃู†ุง ุจุฑูุถ ุดูŠุก
344
+
345
+ 87
346
+ 00:06:47,960 --> 00:06:52,040
347
+ ุตุญ ู…ุน ูƒุฏู‡ we commit type one error ุงู„ู„ูŠ ุจุฑูุถ ุดูŠุก
348
+
349
+ 88
350
+ 00:06:52,040 --> 00:06:55,280
351
+ ุตุญ ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏู‡ ุฎุทุฃ ู…ุด ู‡ูŠูƒ ู†ุณู…ูŠู‡ type one error
352
+
353
+ 89
354
+ 00:06:56,780 --> 00:07:05,100
355
+ ุงู„ุนู†ูˆุงู† ุงู„ูˆุงู‚ุนูŠ ู„ู„ุฎุทุฃ ุงู„ูˆุงุญุฏ ู‡ูˆ Alpha ุงู„ูˆุงู‚ุนูŠ
356
+
357
+ 90
358
+ 00:07:05,100 --> 00:07:17,120
359
+ ู„ู„ุฎุทุฃ
360
+
361
+ 91
362
+ 00:07:17,120 --> 00:07:23,820
363
+ ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
364
+
365
+ 92
366
+ 00:07:25,430 --> 00:07:30,610
367
+ ู‡ุฐุง ุจู†ุณู…ูŠู‡ alpha ู‡ุฐุง pronounced as alpha ู‡ุฐุง
368
+
369
+ 93
370
+ 00:07:30,610 --> 00:07:38,070
371
+ Greek letter alpha ุฒูŠ ู…ูŠูˆ ูˆ ุฒูŠ ุณูŠุฌู…ุง Greek letter this
372
+
373
+ 94
374
+ 00:07:38,070 --> 00:07:44,290
375
+ alpha is called level
376
+
377
+ 95
378
+ 00:07:44,290 --> 00:07:45,890
379
+ of significance of the test
380
+
381
+ 96
382
+ 00:07:52,460 --> 00:07:55,300
383
+ ุงู„ูƒุจูŠุฑ ู…ุซู„ู‹ุง ู‡ู†ุง ู…ุณุชูˆู‰ ุงู„ู…ุนู†ูˆูŠุฉ ุฃูˆ ู…ุณุชูˆู‰ ุงู„ุฃู‡ู…ูŠุฉ
384
+
385
+ 97
386
+ 00:07:55,300 --> 00:08:03,360
387
+ ู†ุณู…ูŠู‡ุง alpha is level of significance ู‡ูŠ
388
+
389
+ 98
390
+ 00:08:03,360 --> 00:08:09,180
391
+ ู…ุณุชูˆู‰ ุงู„ู…ุนู†ูˆูŠุฉ this
392
+
393
+ 99
394
+ 00:08:09,180 --> 00:08:13,540
395
+ alpha is set by researcher in advance ุงู„ู„ูŠ ุจูŠุญุทู‡ุง
396
+
397
+ 100
398
+ 00:08:13,540 --> 00:08:17,380
399
+ ู„ู†ูุณุฉ ู…ู† ุงู„ุจุฏุงูŠุฉ ู„ุฐุง ุฃู†ุง ููŠ ุนูŠู†ูŠ ุชุนุฑูŠู ู…ู‡ู… ูˆู‡ุฐุง
400
+
401
+ 101
402
+ 00:08:17,380 --> 00:08:20,680
403
+ ุญุงุฌุฉ ุบุฑูŠุจุฉ ุดูƒู„ ูƒุจูŠุฑ it's called type one error ุงู„ู„ูŠ
404
+
405
+ 102
406
+ 00:08:20,680 --> 00:08:25,420
407
+ ู‡ูˆ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุชุนุฑูŠูู‡ reject true null
408
+
409
+ 103
410
+ 00:08:25,420 --> 00:08:28,440
411
+ hypothesis it means we reject the null hypothesis
412
+
413
+ 104
414
+ 00:08:28,440 --> 00:08:31,860
415
+ when in fact it is true ูŠุนู†ูŠ ุจุฑูุถู‡ ูˆููŠ ุงู„ูˆุงู‚ุน
416
+
417
+ 105
418
+ 00:08:31,860 --> 00:08:36,420
419
+ ู…ุนู‡ ุตุญ ู„ูˆ ุจุฑูุถ ุดูŠุก ุตุญ ู…ุน ูƒุฏู‡ ูุนู†ุฏูŠ ุฎุทุฃ ู‡ุฐุง ุฎุทุฃ
420
+
421
+ 106
422
+ 00:08:36,420 --> 00:08:42,820
423
+ ุจุณู…ูŠู‡ ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ type one error ุงู„ุณุคุงู„
424
+
425
+ 107
426
+ 00:08:42,820 --> 00:08:45,580
427
+ ุงู„ุซุงู†ูŠ ู‡ูˆ ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
428
+
429
+ 108
430
+ 00:08:45,580 --> 00:08:49,800
431
+ ุจุงุณู…ู‡ Alpha ุฅุฐุง ุงุญุชู…ุงู„ ู‡ุฐุง ุงู„ุฎุทุฃ ู‡ูˆ ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน
432
+
433
+ 109
434
+ 00:08:49,800 --> 00:08:52,840
435
+ ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุจุงุณู…ู‡ Alpha ุฅุฐุง Alpha
436
+
437
+ 110
438
+ 00:08:52,840 --> 00:09:01,700
439
+ ุนุจุงุฑุฉ ุนู† ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„
440
+
441
+ 111
442
+ 00:09:01,700 --> 00:09:05,700
443
+ ู…ุงู‡ูˆ ู‚ูŠู…ุฉ AlphaุŸ
444
+
445
+ 112
446
+ 00:09:10,610 --> 00:09:14,630
447
+ ุงู„ู‚ูŠู…ุฉ Alpha ุจูŠุญุทู‡ุง ุงู„ุจุงุญุซ ููŠ ุงู„ุจุฏุงูŠุฉ Do you think
448
+
449
+ 113
450
+ 00:09:14,630 --> 00:09:19,050
451
+ Alpha is large or smallุŸ ุฃุชูˆู‚ุน Alpha ุชูƒูˆู† ุตุบูŠุฑุฉ ูˆู„ุง
452
+
453
+ 114
454
+ 00:09:19,050 --> 00:09:22,550
455
+ ูƒุจูŠุฑุฉุŸ ู„ุงุฒู… ุชูƒูˆู† ุตุบูŠุฑุฉ ู„ุฅูŠุดุŸ ู„ุฅู† ุฅุญู†ุง we reject
456
+
457
+ 115
458
+ 00:09:22,550 --> 00:09:27,290
459
+ true null ุจุฑูุถ ุดูŠุก ุตุญ ู…ุง ุจู‚ู‰ ูƒุฏู‡ ุจุชุฎู„ูŠ ุฎุทุฃ
460
+
461
+ 116
462
+ 00:09:27,290 --> 00:09:32,390
463
+ ุฃุนู…ุงู„ู‡ ุตุบูŠุฑุฉ ูุจุงู„ุชุงู„ูŠ Alpha should be small the
464
+
465
+ 117
466
+ 00:09:32,390 --> 00:09:34,230
467
+ other error is called type 2 error
468
+
469
+ 118
470
+ 00:09:40,130 --> 00:09:44,430
471
+ ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุซุงู†ูŠ ุงู„ู€ complement ุชุจุน type 1 error
472
+
473
+ 119
474
+ 00:09:44,430 --> 00:09:48,210
475
+ ุงู„ู€ ู…ูƒู…ู„ ุฅูŠู‡ ู„ู‡ุŸ ุฅูŠุด ุงู„ู€ type 1 errorุŸ reject
476
+
477
+ 120
478
+ 00:09:48,210 --> 00:09:52,190
479
+ true null hypothesis ุงู„ุซุงู†ูŠ ุฅูŠุด ู…ูƒุชูˆุจ ุนู„ูŠู‡ุŸ
480
+
481
+ 121
482
+ 00:09:52,190 --> 00:09:55,850
483
+ failure to reject false null hypothesis ุงู„ู„ุญุธุฉ ุนูƒุณู‡
484
+
485
+ 122
486
+ 00:09:55,850 --> 00:09:59,850
487
+ ุชู…ุงู…ู‹ุง ู‡ู†ุง ุจู†ุญูƒูŠ reject ุงู„ุซุงู†ูŠ ุฅูŠุด ู…ูˆุฌูˆุฏุŸ failure
488
+
489
+ 123
490
+ 00:09:59,850 --> 00:10:03,090
491
+ to .. ุฅูŠุด ู…ุนู†ุงู‡ failure to rejectุŸ ูุดู„ุŒ ุนุฏู… ุฑูุถ
492
+
493
+ 124
494
+ 00:10:05,790 --> 00:10:10,210
495
+ failure to reject ู‡ู†ุง ุฅูŠุด ูƒุงู† true ุฅูŠุด ุตุงุฑ false
496
+
497
+ 125
498
+ 00:10:10,210 --> 00:10:15,670
499
+ ุฅุฐุง ุงู„ุงุซู†ูŠู† ู…ูƒู…ู„ุงุช ู„ุจุนุถ ุฅุฐุง failure to reject
500
+
501
+ 126
502
+ 00:10:15,670 --> 00:10:22,670
503
+ false ู†ู„ุนุจ false ู†ุณู…ูŠู‡ type two error ุฅุฐุง ุงู„ุนูƒุณ
504
+
505
+ 127
506
+ 00:10:22,670 --> 00:10:24,930
507
+ ุงู„ู„ูŠ ู‡ู†ุง ุจุฏู„ ู…ุง ุฃุญูƒูŠ reject ุฃุญูƒูŠู‡ุงุด failure
508
+
509
+ 128
510
+ 00:10:24,930 --> 00:10:34,580
511
+ failure to reject h0 ูŠุนู†ูŠ you can say just
512
+
513
+ 129
514
+ 00:10:34,580 --> 00:10:38,520
515
+ accept but it's better to say failure to reject so
516
+
517
+ 130
518
+ 00:10:38,520 --> 00:10:42,580
519
+ we are usually we prefer to say failure to reject
520
+
521
+ 131
522
+ 00:10:42,580 --> 00:10:46,720
523
+ or don't reject don't say accept ุฒูŠ ู…ุง ุจู†ุญูƒูŠ ุฏุงุฆู…ู‹ุง
524
+
525
+ 132
526
+ 00:10:46,720 --> 00:10:51,020
527
+ ุนุฏู… ุฑูุถ ู…ุง ุจู†ุญูƒูŠุด ู‚ุจูˆู„ ุฅุฐุง failure to reject is
528
+
529
+ 133
530
+ 00:10:51,020 --> 00:10:57,320
531
+ h0 when it is false when it's h0 is false ูŠุนู†ูŠ
532
+
533
+ 134
534
+ 00:10:57,320 --> 00:11:03,970
535
+ ู…ุด ู…ุนู†ุงู‡ ุนุฏู… ู…ุด ู„ุงุญุธ ู‡ู†ุง ู…ุด ู…ูˆุฌูˆุฏ ุฑูุถ ุฅูŠุด ุจูŠุตูŠุฑ ุนุฏู…
536
+
537
+ 135
538
+ 00:11:03,970 --> 00:11:11,590
539
+ ุฑูุถู‡ ุนุฏู… ุฑูุถ ุงู„ู€ h0 ูˆู‡ูŠ ุฎุงุทุฆุฉ ุฃู†ุง ุจุฑูุถุด ุดูŠุก ุบู„ุท
540
+
541
+ 136
542
+ 00:11:11,590 --> 00:11:17,770
543
+ ุจุฑูุถุด ูŠุนู†ูŠ ุจู‚ุจู„ ุดูŠุก ุฎุทุฃ ู…ุน ูƒู„ ูุนู„ ุฏู‡ ุบู„ุท ุฅุฐุง when
544
+
545
+ 137
546
+ 00:11:17,770 --> 00:11:19,930
547
+ we don't reject the null hypothesis when the fact
548
+
549
+ 138
550
+ 00:11:19,930 --> 00:11:24,690
551
+ is false it means we commit type 2 error ูˆุงุถุญ ู„ู…ุง
552
+
553
+ 139
554
+ 00:11:24,690 --> 00:11:31,690
555
+ ุจุฑูุถุด ุดูŠุก ุบู„ุท ูˆู‚ุนุช ุฎุทุฃ this error is called type 2
556
+
557
+ 140
558
+ 00:11:31,690 --> 00:11:37,620
559
+ error ู‡ูŠ ุฃุณูˆุฃ ู…ู† ุงู„ุฏู…ุงุบ ุงู„ู€ type 1ุŸ ู‡ู…ุง ุงู„ุงุซู†ูŠู† ุนูƒุณ
560
+
561
+ 141
562
+ 00:11:37,620 --> 00:11:42,460
563
+ ุจุนุถ ุฅุญู†ุง ู‡ู†ุฑูƒุฒ ุนู„ู‰ ูˆุงุญุฏ ู…ู†ู‡ู… ุจุนุฏ ุดูˆูŠุฉ ุงู„ู€
564
+
565
+ 142
566
+ 00:11:42,460 --> 00:11:46,800
567
+ probability of type two error is beta
568
+
569
+ 143
570
+ 00:11:46,800 --> 00:11:56,400
571
+ ูŠู†ุทู‚ beta ู…ุด beta ุงู„ู€ probability ุงู„ู€ probability
572
+
573
+ 144
574
+ 00:11:56,400 --> 00:12:08,750
575
+ of type two error ู‡ู†ุง ูƒู†ุง ู†ุณู…ูŠู‡ุง alpha ู‡ูŠ ุชูƒุชุจ beta
576
+
577
+ 145
578
+ 00:12:08,750 --> 00:12:16,310
579
+ ุจุณ ุชูƒุชุจ beta ู‡ูŠูƒ ุจุณ ูŠู†ุทู‚ beta ู…ุง ููŠุด ุญุงุฌุฉ ุงุณู…ู‡ุง
580
+
581
+ 146
582
+ 00:12:16,310 --> 00:12:21,270
583
+ beta ููŠ ุงู„ู€ curriculum beta, theta and so on ุฅุฐุง
584
+
585
+ 147
586
+ 00:12:21,270 --> 00:12:24,090
587
+ there are two types of error one is called type
588
+
589
+ 148
590
+ 00:12:24,090 --> 00:12:29,170
591
+ one type one it means we reject true null
592
+
593
+ 149
594
+ 00:12:29,170 --> 00:12:33,910
595
+ hypothesis ู†ุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ุตุญ ุจุงู„ู†ุณุจุฉ ู„ู„ู€
596
+
597
+ 150
598
+ 00:12:33,910 --> 00:12:36,050
599
+ Probability ุชุจุน ุงู„ู€ Type I Error ุชุณู…ู‰ Alpha ูˆ
600
+
601
+ 151
602
+ 00:12:36,050 --> 00:12:39,050
603
+ Alpha ุชุณู…ู‰ Level of Significance ุงู„ู€ Type II Error
604
+
605
+ 152
606
+ 00:12:39,050 --> 00:12:43,290
607
+ ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุง ู†ุฑูุถ false null hypothesis ูˆ
608
+
609
+ 153
610
+ 00:12:43,290 --> 00:12:48,690
611
+ Probability ู†ุณู…ูŠู‡ุง Beta ู‡ุฐูˆู„ ุงู„ู€ Two Types Of Error
612
+
613
+ 154
614
+ 00:12:48,690 --> 00:12:57,270
615
+ ุงู„ุขู† ู‡ุฐุง ุงู„ูƒู„ุงู… ูŠู…ุซู„ ุญุงู„ุฉ ุงู„ุชุฑุฌู…ุฉ ุฃูˆ ู„ุง ุชุฑุฌู…ุฉ ุงู„ุขู†
616
+
617
+ 155
618
+ 00:12:57,270 --> 00:13:07,290
619
+ ู‚ุฑุงุฑ ุชุจุนู†ุง either don't reject ุฃูˆ reject ุงู„ูˆุถุน
620
+
621
+ 156
622
+ 00:13:07,290 --> 00:13:13,990
623
+ ุงู„ุญู‚ูŠู‚ูŠ ุฅู…ุง H0 ู‡ูˆ ุตุญ ุฃูˆ H0 ู‡ูˆ ุฎุงุทุฆ ุฅุฐุง H0 ูƒุงู†ุช ุตุญ
624
+
625
+ 157
626
+ 00:13:13,990 --> 00:13:23,330
627
+ ุฃูˆ ุฎุงุทุฆุฉ ู‚ุฑุงุฑูŠ ุฅู…ุง ุนุฏู… ุฑูุถ ุฃูˆ ุฑูุถ ู†ู…ุณูƒ
628
+
629
+ 158
630
+ 00:13:23,330 --> 00:13:27,690
631
+ ูˆุงุญุฏ ูˆุงุญุฏ ู„ูˆ ุญูƒูŠุช don't reject h0 when it is
632
+
633
+ 159
634
+ 00:13:27,690 --> 00:13:34,630
635
+ true ุจุฑูุถุด ุดูŠุก ุตุญูŠุญ ูŠุนู†ูŠ ุจู‚ุจู„ ุดูŠุก ุตุญูŠุญ ู…ุนู†ุงู‡ ุฅูŠุดุŸ no
636
+
637
+ 160
638
+ 00:13:34,630 --> 00:13:40,070
639
+ error ุฅุฐุง ู‡ุฐุง correct decision ุฅุฐุง ู‡ุฐุง correct
640
+
641
+ 161
642
+ 00:13:40,070 --> 00:13:49,310
643
+ ูŠุนู†ูŠ ู‚ุฑุงุฑ ู…ุง ู‡ูˆ ุตุญูŠุญ ุฅุฐุง don't reject h0 when
644
+
645
+ 162
646
+ 00:13:49,310 --> 00:13:53,770
647
+ fact it is true it means correct decision ู‚ุฑุงุฑ
648
+
649
+ 163
650
+ 00:13:53,770 --> 00:14:02,340
651
+ ุตุญูŠุญ ุฎู„ุงุต ุจุฑุถู‡ ู„ู…ุง ุจุญูƒูŠ rejected h0 when it is
652
+
653
+ 164
654
+ 00:14:02,340 --> 00:14:09,940
655
+ false ุจุฑูุถ ุดูŠุก ุฎุทุฃ ุฃู†ุง ุจุฑูุถ ุดูŠุก ุบู„ุท ู‚ุฑุงุฑ ุตุญ ูˆู„ุง ..
656
+
657
+ 165
658
+ 00:14:09,940 --> 00:14:17,240
659
+ ูˆู„ุง .. ุฅุฐุง ู‡ุฐุง ุตุญ ุฅุฐุง ู‡ุฐุง correct decision ๏ฟฝ๏ฟฝุฐุง
660
+
661
+ 166
662
+ 00:14:17,240 --> 00:14:23,200
663
+ ุงู„ู‚ุฑุงุฑ ุณู„ูŠู… ุจูŠุฌูŠ ููŠ ุญุงู„ุชูŠู† ุฅู…ุง ุนุฏู… ุฑูุถ ุดูŠุก ุตุญูŠุญ ุฃูˆ
664
+
665
+ 167
666
+ 00:14:23,200 --> 00:14:27,580
667
+ ุฑูุถ ุดูŠุก ุฎุงุทุฆ ู…ุธุจูˆุท ู‡ุฏูˆู„ ุงุซู†ูŠู† correct decision ุนูƒุณ
668
+
669
+ 168
670
+ 00:14:27,580 --> 00:14:31,100
671
+ ุงู„ู„ูŠ ูุงุชูˆุง ู„ุฃู† ุงู„ู€ type one error ุจูŠุฌูŠ ู…ู† ูˆูŠู† ู†ู‚ุฑุฃ
672
+
673
+ 169
674
+ 00:14:31,100 --> 00:14:35,300
675
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ
676
+
677
+ 170
678
+ 00:14:35,300 --> 00:14:37,660
679
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
680
+
681
+ 171
682
+ 00:14:37,660 --> 00:14:37,740
683
+ ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
684
+
685
+ 172
686
+ 00:14:37,740 --> 00:14:37,940
687
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
688
+
689
+ 173
690
+ 00:14:37,940 --> 00:14:38,620
691
+ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ
692
+
693
+ 174
694
+ 00:14:38,620 --> 00:14:53,720
695
+ ู†ู‚ุฑุฃ ู…ู† ู‡ู†ุงูƒ ู†ู‚ุฑุฃ ู…ู†
696
+
697
+ 175
698
+ 00:14:53,720 --> 00:14:57,310
699
+ ู‡ู†ุงูƒ ู‡ุฐูˆู„ ุงุซู†ูŠู† complement ุฅุฐุง ู‡ุฐู‡ alpha ุฅูŠุด ุจุชูƒูˆู†
700
+
701
+ 176
702
+ 00:14:57,310 --> 00:15:02,030
703
+ ุงู„ูˆุงุญุฏ ู†ุงู‚ุต alpha ุฅุฐุง ู‡ุฐู‡ beta ุงู„ุซุงู†ูŠุฉ ูˆุงุญุฏ ู†ุงู‚ุต
704
+
705
+ 177
706
+ 00:15:02,030 --> 00:15:06,150
707
+ beta ุชู…ุงู… ุฃุญุณู† ูˆุงุญุฏุฉ ููŠู‡ู… ูŠุนู†ูŠ ุงู„ู€ power ู„ู„ู€ test
708
+
709
+ 178
710
+ 00:15:06,150 --> 00:15:11,490
711
+ ุจุชูƒูˆู† ู…ู† ุฌุงูŠุฉ ู„ู…ุง we reject ุดูŠุก ุฎุทุฃ ู…ุธุจูˆุท ู„ู…ุง ุจุฑูุถ
712
+
713
+ 179
714
+ 00:15:11,490 --> 00:15:15,470
715
+ ุดูŠุก ุบู„ุท ู…ุน ูƒุฏู‡ ููŠ ุนู†ุฏูŠ ู‚ูˆุฉ ุฅุฐุง probability h0
716
+
717
+ 180
718
+ 00:15:15,470 --> 00:15:21,090
719
+ when we reject h0 when it is false it's called
720
+
721
+ 181
722
+ 00:15:22,520 --> 00:15:26,500
723
+ ุงู„ู€ Power ุงู„ู€ Power ู„ู„ุชุณุช ุนุจุงุฑุฉ ุนู† 1-ฮฒ ู‚ูˆุฉ
724
+
725
+ 182
726
+ 00:15:26,500 --> 00:15:30,660
727
+ ุงู„ุงุฎุชุจุงุฑ ุจุชูŠุฌูŠ ู…ู† ุฎู„ุงู„ ุฑูุถูƒ ู„ู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ
728
+
729
+ 183
730
+ 00:15:30,660 --> 00:15:43,440
731
+ ุฅูŠุด ุงู„ู€ power ู…ุนู†ุงู‡ุง reject h0 when it is
732
+
733
+ 184
734
+ 00:15:43,440 --> 00:15:51,060
735
+ false ุงู„ู€ probability ุงู„ู„ูŠ ู‡ูŠ 1-ฮฒ ู‡ูŠ ุจุชุณู…ูŠู‡ุง ุงู„ู€
736
+
737
+ 185
738
+ 00:15:51,060 --> 00:15:55,370
739
+ power ู„ู„ุชุณุช ุฅุฐุง ุงู„ู€ power ู„ู„ู€ test ุนุจุงุฑุฉ ุนู† one minus
740
+
741
+ 186
742
+ 00:15:55,370 --> 00:16:01,390
743
+ beta ุฅูŠุด betaุŸ ู‡ูŠ beta ุงู„ู„ูŠ ู‡ูŠ probability of type
744
+
745
+ 187
746
+ 00:16:01,390 --> 00:16:04,210
747
+ two error type two error ุนุจุงุฑุฉ ุนู† failure to
748
+
749
+ 188
750
+ 00:16:04,210 --> 00:16:08,750
751
+ reject h0 when it is false ุฎู„ุงุต ุฅุฐุง ุฏูˆู„
752
+
753
+ 189
754
+ 00:16:08,750 --> 00:16:13,750
755
+ ุงู„ุฃุฑุจุน ุญุงุฌุงุช ู„ุงุฒู… ุฃุนุฑูู‡ู… ููŠ ุนู†ุฏูŠ correct decision
756
+
757
+ 190
758
+ 00:16:13,750 --> 00:16:16,490
759
+ either don't reject h0 when it is true or
760
+
761
+ 191
762
+ 00:16:16,490 --> 00:16:20,070
763
+ reject h0 when it is false Type 1 Error ูŠุนู†ูŠ
764
+
765
+ 192
766
+ 00:16:20,070 --> 00:16:24,290
767
+ ุฅู†ู‡ ู…ุฌุฑุฏ ุฅ
768
+
769
+ 216
770
+ 00:17:54,330 --> 00:18:00,310
771
+ alpha equal five percent ุงู„
772
+
773
+ 217
774
+ 00:18:00,310 --> 00:18:05,530
775
+ one minus alpha ุฅูŠุด ู‡ุชุณุงูˆูŠ 95% ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ู†ุงู‚ุต
776
+ 218
777
+ 00:18:05,530 --> 00:18:07,550
778
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ complement ุงู„ู„ูŠ ู‡ูŠ
779
+
780
+ 219
781
+ 00:18:07,550 --> 00:18:10,150
782
+ probability of not rejecting zero when it is true
783
+
784
+ 220
785
+ 00:18:10,150 --> 00:18:14,210
786
+ The confidence level of a hypothesis test is one
787
+
788
+ 221
789
+ 00:18:14,210 --> 00:18:17,250
790
+ minus alpha times one hundred percent ู„ูˆ ุฃุทู„ุน ู†ุณุจุฉ
791
+
792
+ 222
793
+ 00:18:17,250 --> 00:18:22,960
794
+ ุงู„ู…ุฆูˆูŠุฉ ุฅูŠุด ุจุฃุนู…ู„ุŸ ุจุงุฌูŠ ู‡ุฐู‡ ู…ุงุฐุง ุจุนู…ู„ ููŠู‡ุงุŸ ุจุถุฑุจู‡ุง
795
+
796
+ 223
797
+ 00:18:22,960 --> 00:18:27,100
798
+ ููŠ 100 ูุชุทู„ุน ู…ุนุงูŠุง ุฅูŠุดุŸ ุฅุฐุง ุจุญูƒูŠ point nine five
799
+
800
+ 224
801
+ 00:18:27,100 --> 00:18:32,760
802
+ ูƒูŠู ุชุทู„ุน ู†ุณุจุงู„ูŠ ุงู„ู…ุฆูˆูŠุฉุŸ ุชุถุฑุจูŠู‡ุง ููŠ 100 ูู‡ุฐุง ุญุณุงุจ
803
+
804
+ 225
805
+ 00:18:32,760 --> 00:18:37,960
806
+ 95% ู‡ุฐู‡ ุจู†ุณู…ูŠู‡ุง the confidence level ูŠุนู†ูŠ ุฅูŠุดุŸ
807
+
808
+ 226
809
+ 00:18:37,960 --> 00:18:44,380
810
+ ู…ุณุชูˆู‰ ุงู„ุซู‚ุฉ ุฅุฐุง ุฅุฐุง ูƒุงู† ุงู„ุฎุทุฃ 5% ุงู„ุซู‚ุฉ ุฅูŠุด ุจุชูƒูˆู†ุŸ
811
+
812
+ 227
813
+ 00:18:44,380 --> 00:18:50,200
814
+ 95 ู‡ูŠ ุงู„ู€ complement ุจุชุงุนุชู‡ุง ุฅุฐุง ุฅุฐุง Alpha ุงู„ู„ูŠ ู‡ูŠ
815
+
816
+ 228
817
+ 00:18:50,200 --> 00:18:54,680
818
+ ุชุนุฑูŠูู‡ุง ู…ุฑุฉ ุซุงู†ูŠุฉ Alpha probability of type one
819
+
820
+ 229
821
+ 00:18:54,680 --> 00:18:57,900
822
+ error ูŠุนู†ูŠ Alpha ุนุจุงุฑุฉ ุนู† probability of rejecting
823
+
824
+ 230
825
+ 00:18:57,900 --> 00:19:01,260
826
+ zero when it is true ูุงู„ู€ one minus Alpha ุนุจุงุฑุฉ ุนู†
827
+
828
+ 231
829
+ 00:19:01,260 --> 00:19:03,640
830
+ probability of not rejecting zero when it is true
831
+
832
+ 232
833
+ 00:19:03,640 --> 00:19:08,420
834
+ ุงู„ู€ one minus Alpha is called confidence level
835
+
836
+ 233
837
+ 00:19:08,420 --> 00:19:11,860
838
+ ู…ุณุชูˆู‰ ุงู„ุซู‚ุฉ ูู„ูˆ Alpha is one percent it means one
839
+
840
+ 234
841
+ 00:19:11,860 --> 00:19:15,680
842
+ minus Alpha is nine nine percent and so on the
843
+
844
+ 235
845
+ 00:19:15,680 --> 00:19:19,700
846
+ power of a statistical power ุงู„ู‚ูˆุฉ ุงู„ุงุฎุชุจุงุฑ ุงู„ู„ูŠ
847
+
848
+ 236
849
+ 00:19:19,700 --> 00:19:23,180
850
+ ุญูƒูŠุช ุนู„ูŠู‡ุง ุนุจุงุฑุฉ ุนู† ู…ูŠู† one minus beta is a
851
+
852
+ 237
853
+ 00:19:23,180 --> 00:19:26,140
854
+ probability of rejecting a zero when it is false
855
+
856
+ 238
857
+ 00:19:26,140 --> 00:19:30,320
858
+ ุงู„ู„ูŠ ูƒุงู†ุช ุฃุฎุฑ ุญุฏุซ ููŠ ุงู„ุฌุฏูˆู„ ู„ูŠู‡ุง ุฏูŠ rejected zero
859
+
860
+ 239
861
+ 00:19:30,320 --> 00:19:33,260
862
+ when it is false is called the power of the test
863
+
864
+ 240
865
+ 00:19:33,260 --> 00:19:36,780
866
+ ุฅุฐุง ุงู„ู€ power ุนุจุงุฑุฉ ุนู† rejected zero when in fact
867
+
868
+ 241
869
+ 00:19:36,780 --> 00:19:41,340
870
+ it is false ุจุฑูุถ ุดูŠุก ุบู„ุท ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ู‚ูˆุฉ ุงู„ุงุฎุชุจุงุฑ
871
+
872
+ 242
873
+ 00:19:41,340 --> 00:19:46,990
874
+ ู‡ุฏูˆู„ definitions ุงู„ู„ูŠ ุฃุนุฑููŠู‡ู… ุงู„ุขู† ู‡ู†ุนุทูŠ ููŠ two
875
+
876
+ 243
877
+ 00:19:46,990 --> 00:19:50,470
878
+ slides ุงู„ู€ relationship between type 1 and type 2
879
+
880
+ 244
881
+ 00:19:50,470 --> 00:19:53,830
882
+ errors ุงู„ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ุฎุทุฃ ู…ู† ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ูˆ ุงู„ุฎุทุฃ ู…ู†
883
+
884
+ 245
885
+ 00:19:53,830 --> 00:19:54,750
886
+ ุงู„ู†ูˆุน ุงู„ุซุงู†ูŠ
887
+
888
+ 246
889
+ 00:20:14,190 --> 00:20:17,270
890
+ ุงู„ู€ type 1 ูˆ ุงู„ู€ type 2 ู„ุง ูŠู…ูƒู† ุฃู† ูŠุญุฏุซูˆุง ููŠ ู†ูุณ
891
+
892
+ 247
893
+ 00:20:17,270 --> 00:20:21,250
894
+ ุงู„ูˆู‚ุช ุงู„ุงุซู†ูŠู† ู„ุง ูŠุญุฏุซูˆุง ู…ุน ุจุนุถ ุงู„ุณุจุจ ู„ูˆ ุทู„ุนุช ุนู„ู‰
895
+
896
+ 248
897
+ 00:20:21,250 --> 00:20:26,390
898
+ ุงู„ู€ definitions ุงู„ู€ type 1 error ู„ุง ุชู†ุฌุญ ููŠ ุงู„ู€
899
+
900
+ 249
901
+ 00:20:26,390 --> 00:20:30,770
902
+ zero ูˆ ุงู„ู€ true ุงู„ู€ type 2 error ุฅุฐุง ู‡ูŠ ุงู„ู€ type 1
903
+
904
+ 250
905
+ 00:20:30,770 --> 00:20:35,150
906
+ ุชู†ุฌุญ ููŠ ุงู„ู€ zero ูˆ ุงู„ู€ true ุงู„ู€
907
+
908
+ 251
909
+ 00:20:35,150 --> 00:20:39,450
910
+ type 2 ุนูƒุณู‡ ู„ุญุธุฉ ุจู†ุญูƒูŠ ุชู†ุฌุญ ููŠ ุงู„ู€ zero ูˆ ุงู„ู€ true
911
+
912
+ 252
913
+ 00:20:39,450 --> 00:20:43,580
914
+ ุงู„ุซุงู†ูŠ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ don't reject a zero when it is
915
+
916
+ 253
917
+ 00:20:43,580 --> 00:20:47,360
918
+ false ุฅุฐุง ู‡ุฐูˆู„ ุงุซู†ูŠู† ู…ุง ูŠุญุฏุซูˆุด ู…ุน ุจุนุถ ุฅุฐุง type one
919
+
920
+ 254
921
+ 00:20:47,360 --> 00:20:53,820
922
+ and type two errors ู†ุนู… ู…ุด ุตุญูŠุญ ูŠุนู†ูŠ ู…ู…ูƒู†ุด ุฃุฑูุถ ูˆ
923
+
924
+ 255
925
+ 00:20:53,820 --> 00:20:59,180
926
+ ุฃู‚ุจู„ ููŠ ู†ูุณ ุงู„ู„ุญุธุฉ ู…ุธุจูˆุท
927
+
928
+ 256
929
+ 00:20:59,180 --> 00:21:02,420
930
+ ู‡ูŠูƒ ุฅุฐุง type one and type two errors cannot happen
931
+
932
+ 257
933
+ 00:21:02,420 --> 00:21:08,090
934
+ at the same time ุงู„ุณุจุจ ุฒูŠ ุฒู…ูŠู„ุชูƒ ุจุญูƒุช type 1 error
935
+
936
+ 258
937
+ 00:21:08,090 --> 00:21:12,930
938
+ can only occur if its 0 is true ู…ุธุจูˆุท type 1
939
+
940
+ 259
941
+ 00:21:12,930 --> 00:21:17,950
942
+ rejects 0 when it is true type 2 can only occur if
943
+
944
+ 260
945
+ 00:21:17,950 --> 00:21:21,930
946
+ its 0 is false ุงู„ู„ูŠ ู‡ูŠ we don't reject its 0 when
947
+
948
+ 261
949
+ 00:21:21,930 --> 00:21:26,050
950
+ it is false for this reason type 1 and 2 error
951
+
952
+ 262
953
+ 00:21:26,050 --> 00:21:31,750
954
+ cannot happen at the same time ู„ุฃู† ููŠ ูˆุงุญุฏ ุจูŠุญุฏุซ
955
+
956
+ 263
957
+ 00:21:31,750 --> 00:21:35,670
958
+ ู„ู…ุง H0 ุชูƒูˆู† ุตุญูŠุญุฉ ูˆ ุงู„ุซุงู†ูŠ ุจูŠุญุฏุซ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ 0 ุฎุงุทุฆุฉ
959
+
960
+ 264
961
+ 00:21:35,670 --> 00:21:39,790
962
+ ูˆุจุงู„ุชุงู„ูŠ ุญุฏูˆุซู‡ู… ู…ุน ุจุนุถ ุจูŠูƒูˆู† conflict of interest
963
+
964
+ 265
965
+ 00:21:39,790 --> 00:21:43,190
966
+ ู…ูˆุฌูˆุฏุด ู…ุน ุจุนุถ ูุจุงู„ุชุงู„ูŠ ู…ุด ู…ู…ูƒู† ูŠุญุฏุซ ุฃู† ุงู„ู€ type I ุฃูˆ
967
+
968
+ 266
969
+ 00:21:43,190 --> 00:21:45,470
970
+ ุงู„ู€ type II error happened at the same time
971
+
972
+ 267
973
+ 00:21:45,470 --> 00:21:49,990
974
+ furthermore if type I error probability ฮฑ
975
+
976
+ 268
977
+ 00:21:49,990 --> 00:21:53,950
978
+ increases ุฅุฐุง Alpha ุฒุงุฏุช ุงู„ู€ type II error
979
+
980
+ 269
981
+ 00:21:53,950 --> 00:21:59,150
982
+ probability decreases ูŠุนู†ูŠ ุฅุฐุง type I error ุฒุงุฏ ุงู„ู€
983
+
984
+ 270
985
+ 00:21:59,150 --> 00:22:03,630
986
+ 1- ฮฒ ุงู„ู€ Beta ู†ูุณู‡ุง ู…ุงู„ู‡ุง ุจุชู‚ู„ ูŠุนู†ูŠ ููŠ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ
987
+
988
+ 271
989
+ 00:22:03,630 --> 00:22:06,230
990
+ ู…ุง ุจูŠู† ุงู„ุงุซู†ูŠู† ุฅุฐุงู‹ there is inverse relationship
991
+
992
+ 272
993
+ 00:22:06,230 --> 00:22:08,810
994
+ between type 1 and type 2 here ุฅุฐุงู‹ if Alpha
995
+
996
+ 273
997
+ 00:22:08,810 --> 00:22:13,770
998
+ increases Beta ู…ุงู„ู‡ุง decreases ุทุจ ุฃุญูƒูŠ Alpha
999
+
1000
+ 274
1001
+ 00:22:13,770 --> 00:22:23,370
1002
+ ุจุงู„ุฒูŠุงุฏุฉ ุงู„ู€ Beta ู…ุงู„ู‡ุง ุจุชู‚ู„ ุทุจ ุงู„ู€ 1-Beta ู„ู…ุง ุจุญูƒูŠ
1003
+
1004
+ 275
1005
+ 00:22:23,370 --> 00:22:32,020
1006
+ Beta ู†ู‚ุตุชุงู„ู‡ุง ูˆุงุญุฏ ู†ุงู‚ุต ุจูŠุชุง ู…ุงู„ู‡ ุจูŠุฒูŠุฏ ุทุจุนุง ู…ุด ุนู†ุฏูƒ
1007
+
1008
+ 276
1009
+ 00:22:32,020 --> 00:22:35,140
1010
+ ูˆุงุญุฏ ู†ุงู‚ุต ุจูŠุชุง ูŠุนู†ูŠ ุชุฎูŠู„ูŠ ุจูŠุชุง ุจุชุณุงูˆูŠ ุงุซู†ูŠู† ู…ู†
1011
+
1012
+ 277
1013
+ 00:22:35,140 --> 00:22:40,600
1014
+ ุงู„ู…ูŠุฉ ุฅูŠุด ูˆุงุญุฏ ู†ุงู‚ุต ุจูŠุชุง ุฃูŠ ุจูŠุชุง one minus ุจูŠุชุง ู„ูˆ
1015
+
1016
+ 278
1017
+ 00:22:40,600 --> 00:22:46,540
1018
+ ู‡ุงุฏ ุจุงุซู†ูŠู† ุฅูŠุด ู‡ุชูƒูˆู† ู„ูˆ ู‡ุงุฏ ุจุชู„ุงุชุฉ ู„ูˆ ู‡ุงุฏ ุจู‚ู‰
1019
+
1020
+ 279
1021
+ 00:22:46,540 --> 00:22:52,310
1022
+ ุฃุฑุจุนุฉ ู…ุง ุนูƒุฏุง ูƒู„ beta ู…ุง ุจูŠุฒูŠุฏ ุงู„ู€ one minus beta
1023
+
1024
+ 280
1025
+ 00:22:52,310 --> 00:22:56,450
1026
+ ู…ุงู„ู‡ ุจูŠู‚ู„ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ ุจูŠู†ู‡ู… ูุงู„ู€ beta ุงู„ู„ูŠ ู…ุง ุจุชู‚ู„
1027
+
1028
+ 281
1029
+ 00:22:56,450 --> 00:23:00,930
1030
+ ุงู„ู€ one minus beta ู…ุงู„ู‡ุง ุจูŠุฒูŠุฏ ุฅุฐุง alpha ุจูŠุฒูŠุฏ ูˆ
1031
+
1032
+ 282
1033
+ 00:23:00,930 --> 00:23:07,930
1034
+ beta ู…ุงู„ู‡ุง ุจุชู‚ู„ ู‡ุฐุง ูˆุงุญุฏ all else equal beta
1035
+
1036
+ 283
1037
+ 00:23:07,930 --> 00:23:12,930
1038
+ decreases ูˆูƒุชุด ุงู„ู€ beta ุจูŠุฒูŠุฏ ุฅูŠุด ุงู„ู€ beta ุงู„ู„ูŠ ู‡ูŠ
1039
+
1040
+ 284
1041
+ 00:23:12,930 --> 00:23:18,070
1042
+ don't reject zero when .. ุฎู„ูŠู†ูŠ ุฃูƒุชุจ ุจุชุงุนุชู‡ุง ู‡ูŠ ุงู„ู€
1043
+
1044
+ 285
1045
+ 00:23:18,070 --> 00:23:29,870
1046
+ beta fail or failure to reject its zero when it is
1047
+
1048
+ 286
1049
+ 00:23:29,870 --> 00:23:34,650
1050
+ false failure to reject when it is false ุจุญูƒูŠ beta
1051
+
1052
+ 287
1053
+ 00:23:34,650 --> 00:23:40,390
1054
+ increases ูŠุนู†ูŠ ุนุฏู… ุฑูุถูƒ ู„ู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆ ู‡ูŠ ุบู„ุท
1055
+
1056
+ 288
1057
+ 00:23:41,780 --> 00:23:46,540
1058
+ ู‡ุฐุง ุจูŠุฒูŠุฏ ุงุญุชู…ุงู„ ุนุฏู… ุฑูุถูƒ ู„ุดูŠุก ุฎุงุทุฆ ุจูŠุฒูŠุฏ ู‡ุฐุง ุจูŠุญุฏุซ
1059
+
1060
+ 289
1061
+ 00:23:46,540 --> 00:23:49,540
1062
+ ููŠ ุขู† when the difference between the hypothesized
1063
+
1064
+ 290
1065
+ 00:23:49,540 --> 00:23:53,880
1066
+ parameter and true parameter decreases ู„ู…ุง ูŠูƒูˆู†
1067
+
1068
+ 291
1069
+ 00:23:53,880 --> 00:23:59,560
1070
+ ุงู„ูุฑู‚ ู…ุง ุจูŠู† beta ุจูŠุฒูŠุฏ ุงู„ุฎุทุฃ ู‡ุฐุง ุจูŠุฒูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุฑูุถูƒ
1071
+
1072
+ 292
1073
+ 00:23:59,560 --> 00:24:02,620
1074
+ ุนุฏู… ุฑูุถูƒ ู„ู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ ููŠ ุงู„ูˆุงู‚ุน ุฎุงุทุฆุฉ ู‡ุฐุง
1075
+
1076
+ 293
1077
+ 00:24:02,620 --> 00:24:05,800
1078
+ ุจูŠุฒูŠุฏ ู„ู…ุง ุงู„ูุฑู‚ between ุงู„ู€ hypothesized parameter
1079
+
1080
+ 294
1081
+ 00:24:05,800 --> 00:24:10,640
1082
+ and true value decreases ูŠุนู†ูŠ ูƒูŠู ุชุฐูƒุฑ ุญูƒูŠู†ุง mu
1083
+
1084
+ 295
1085
+ 00:24:10,640 --> 00:24:18,160
1086
+ equal to 30 ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง 30 hypothesized parameter ู‡ุฐู‡
1087
+
1088
+ 296
1089
+ 00:24:18,160 --> 00:24:23,420
1090
+ ู†ุณู…ูŠู‡ุง hypothesized parameter
1091
+
1092
+ 297
1093
+ 00:24:23,420 --> 00:24:27,780
1094
+ ูˆุงู„ู€
1095
+
1096
+ 298
1097
+ 00:24:27,780 --> 00:24:35,060
1098
+ x bar equal for example is 26 ุจู†ุณู…ูŠู‡ุง ุงู„ู€ true
1099
+
1100
+ 299
1101
+ 00:24:35,060 --> 00:24:37,080
1102
+ value ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง ุงู„ู€ sample mean
1103
+
1104
+ 300
1105
+ 00:24:41,220 --> 00:24:42,920
1106
+ ู‡ูˆ ุจูŠุญูƒูŠ where is the difference between a
1107
+
1108
+ 301
1109
+ 00:24:42,920 --> 00:24:48,400
1110
+ hypothesized parameter ู‡ุฐุง ุฃู†ุง ุจูุชุฑุถู‡ุง ููŠ ุนู†ุฏูŠ ุงู„ู€
1111
+
1112
+ 302
1113
+ 00:24:48,400 --> 00:24:53,420
1114
+ true parameter ู‡ุฐุง ุงู„ู€ true parameter ู„ู…ุง
1115
+
1116
+ 303
1117
+ 00:24:53,420 --> 00:24:55,780
1118
+ ูŠูƒูˆู† ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุงุซู†ูŠู† ู‡ุฏูˆู„ ุงู„ู€ hypothesized
1119
+
1120
+ 304
1121
+ 00:24:55,780 --> 00:24:59,020
1122
+ ุงู„ุซู„ุงุซูŠู† ูˆ ุงู„ู€ true parameter decreases ุงู„ู€ beta
1123
+
1124
+ 305
1125
+ 00:24:59,020 --> 00:25:03,340
1126
+ ู…ุงู„ู‡ุง ุจุชุฒูŠุฏ ุฅุฐุง ูƒู„ ู…ุง ูƒุงู† ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ู‚ูŠู…ุฉ
1127
+
1128
+ 306
1129
+ 00:25:03,340 --> 00:25:07,400
1130
+ ุงู„ุงูุชุฑุงุถูŠุฉ ู‡ู†ุง ูˆ ุงู„ู€ population ูŠุนู†ูŠ ู†ูุณ ุงู„ู€ true
1131
+
1132
+ 307
1133
+ 00:25:07,400 --> 00:25:12,640
1134
+ parameter ูƒู„ ู…ุง ุตุบุฑ ุงู„ู€ beta ู…ุงู„ู‡ุง ุจุชุฒูŠุฏ ุงู„ุจุนุฏุฉ beta
1135
+
1136
+ 308
1137
+ 00:25:12,640 --> 00:25:16,280
1138
+ decreases ู…ู† alpha ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุดูˆูŠุฉ decrease ูŠุนู†ูŠ
1139
+
1140
+ 309
1141
+ 00:25:16,280 --> 00:25:19,920
1142
+ beta ุจุงู„ุฒูŠุงุฏุฉ ู„ู…ุง ุงุซู†ูŠู† ุนูƒุณ ุจุนุถ alpha ุจุชู‚ู„ beta
1143
+
1144
+ 310
1145
+ 00:25:19,920 --> 00:25:23,520
1146
+ ุจุงู„ุฒูŠุงุฏุฉ ู„ู…ุง ุณูŠุฌู…ุง ุจุงู„ุฒูŠุงุฏุฉ ูŠุนู†ูŠ ูƒู„ ู…ุง ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ ุฒุงุฏ
1147
+
1148
+ 311
1149
+ 00:25:23,520 --> 00:25:30,800
1150
+ beta ู…ุง ู„ู‡ุง ุจุชุฒูŠุฏ ุงู„ุฃุฎูŠุฑุฉ beta ุจุงู„ุฒูŠุงุฏุฉ ู„ู…ุง n ู…ุง ู„ู‡ุง
1151
+
1152
+ 312
1153
+ 00:25:30,800 --> 00:25:35,720
1154
+ decreases ู…ุนู†ุงู‡ ูƒุฏู‡ ููŠ inverse relationship
1155
+
1156
+ 313
1157
+ 00:25:35,720 --> 00:25:36,820
1158
+ between beta ูˆู…ูŠู†
1159
+
1160
+ 314
1161
+ 00:25:40,350 --> 00:25:43,370
1162
+ ุงู„ุงุฎุชู„ุงู ุจูŠู† ุงู„ู€ hypothes and true value ุฏูŠ ูˆุงุญุฏุฉ
1163
+
1164
+ 315
1165
+ 00:25:43,370 --> 00:25:48,670
1166
+ ูˆ ุงู„ุซุงู†ูŠุฉุŸ Beta ูˆ Alpha ูˆ ุงู„ุซุงู„ุซุฉ Beta ูˆ ุฃู†ุง ู‡ุฐูˆู„
1167
+
1168
+ 316
1169
+ 00:25:48,670 --> 00:25:54,230
1170
+ ูƒู„ู‡ู… ุนู„ุงู‚ุฉ ู…ุงู„ู‡ุง ุนูƒุณูŠุฉ ุทุจ ู‡ุชุฑุจุทูŠู‡ุง ู…ุน ู…ูŠู†ุŸ ุจุณ ู…ุน
1171
+
1172
+ 317
1173
+ 00:25:54,230 --> 00:25:59,250
1174
+ Sigma ุฎู„ุงุตุŸ so there is direct relationship
1175
+
1176
+ 318
1177
+ 00:25:59,250 --> 00:26:06,010
1178
+ between Beta and Sigma Beta is .. ุฅูŠุด ุณู…ูŠู†ุง BetaุŸ
1179
+
1180
+ 319
1181
+ 00:26:16,370 --> 00:26:24,870
1182
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† n ูˆุงู„ุฃู„ูุง
1183
+
1184
+ 320
1185
+ 00:26:24,870 --> 00:26:34,830
1186
+ ู‡ูˆ ุงู„ู€ hypothesized parameter ูˆู‚ูŠู…ุชู‡ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ุชุงู„ูŠุฉ
1187
+
1188
+ 321
1189
+ 00:26:34,830 --> 00:26:39,930
1190
+ ู‡ูŠ level of significance Alpha ูˆุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ
1191
+
1192
+ 322
1193
+ 00:26:39,930 --> 00:26:45,570
1194
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุชุฃูƒุฏ ู…ู† ุงู„ู‚ูŠู… ุงู„ุญุฑุฌุฉ ูˆูƒุฐู„ูƒ ู…ู†
1195
+
1196
+ 323
1197
+ 00:26:45,570 --> 00:26:47,670
1198
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุญุฑุฌุฉ ุฏุนูˆู†ุง ู†ุฑู‰
1199
+
1200
+ 324
1201
+ 00:27:06,290 --> 00:27:12,550
1202
+ ุงู„ุขู† ุฅุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจู…ู‚ุงุฑู†ุฉ ฮผ equal ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ
1203
+
1204
+ 325
1205
+ 00:27:12,550 --> 00:27:18,750
1206
+ ฮผ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ
1207
+
1208
+ 326
1209
+ 00:27:18,750 --> 00:27:21,710
1210
+ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง
1211
+
1212
+ 327
1213
+ 00:27:21,710 --> 00:27:27,950
1214
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง
1215
+
1216
+ 328
1217
+ 00:27:27,950 --> 00:27:30,050
1218
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง
1219
+
1220
+ 329
1221
+ 00:27:30,050 --> 00:27:32,530
1222
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง
1223
+
1224
+ 330
1225
+ 00:27:32,530 --> 00:27:35,130
1226
+ ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง ูŠู‚ู„ ุซู„ุงุซุฉ ู…ู‚ุงุฑู†ุฉ ฮผ ู„ุง
1227
+
1228
+ 331
1229
+ 00:27:38,150 --> 00:27:44,350
1230
+ ู‡ูŠูŠุทู„ุน ุนู†ุฏูŠ two rejection regions ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ู€ left
1231
+
1232
+ 332
1233
+ 00:27:44,350 --> 00:27:47,650
1234
+ ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ู€ right ู‡ุฐู‡ ุงู„ู†ู‚ุงุท represent ู„
1235
+
1236
+ 333
1237
+ 00:27:47,650 --> 00:27:53,590
1238
+ critical values ุฅุฐุง ุงู„ู†ู‚ุงุท ู‡ุฏูˆู„ critical values
1239
+
1240
+ 334
1241
+ 00:27:53,590 --> 00:27:58,150
1242
+ critical values
1243
+
1244
+ 335
1245
+ 00:27:58,150 --> 00:28:05,030
1246
+ ุฎู„ูŠู†ูŠ ุฃุณู…ูŠู‡ุง critical value
1247
+
1248
+ 336
1249
+ 00:28:06,740 --> 00:28:10,240
1250
+ ุงู„ู„ูŠ ุจูŠุณู…ูŠู‡ุง ู†ู‚ุทุฉ ุงู„ุญุฑุฌุฉ ูˆู‡ู†ุง ูƒู…ุงู† ููŠ ูˆุงุญุฏุฉ ูˆู‡ูŠ
1251
+
1252
+ 337
1253
+ 00:28:10,240 --> 00:28:15,260
1254
+ critical value ุซุงู†ูŠุฉ ุฅุฐุง in case of two-tailed
1255
+
1256
+ 338
1257
+ 00:28:15,260 --> 00:28:24,780
1258
+ test ู‡ุฐุง ู‡ูˆ ุงู„ูˆุงุญุฏุฉ two-tailed test ูŠุนู†ูŠ ุงุฎุชุจุงุฑ ู…ู†
1259
+
1260
+ 339
1261
+ 00:28:24,780 --> 00:28:32,980
1262
+ ุทุฑููŠู† ุงู„ู€ 30 against 30 is not 30 ุงุฎุชุจุงุฑ
1263
+
1264
+ 340
1265
+ 00:28:32,980 --> 00:28:33,560
1266
+ ู…ู† ุทุฑููŠู†
1267
+
1268
+ 341
1269
+ 00:28:36,150 --> 00:28:40,830
1270
+ ุงู„ู€ test ู…ุนู†ุงู‡ุง ุงุฎุชุจุงุฑ ุงู„ู€ two ู…ุนู†ุงู‡ุง ุงุซู†ูŠู† ุฃูƒุซุฑ
1271
+
1272
+ 342
1273
+ 00:28:40,830 --> 00:28:46,370
1274
+ ู…ุนู†ุงู‡ุง ุทุฑู ุชุทู„ุน ุงุฎุชุจุงุฑ ู…ู† ุงู„ุทุฑููŠู† ู…ุธุจูˆุท ุงู„ู€ mean
1275
+
1276
+ 343
1277
+ 00:28:46,370 --> 00:28:52,390
1278
+ ุทุจุนุง ุงู„ู€ value in the center now
1279
+
1280
+ 344
1281
+ 00:28:52,390 --> 00:28:54,510
1282
+ the question is how can we determine these
1283
+
1284
+ 345
1285
+ 00:28:54,510 --> 00:28:58,110
1286
+ critical values one to the right and other to the
1287
+
1288
+ 346
1289
+ 00:28:58,110 --> 00:29:04,010
1290
+ left now we have level of significance alpha ุฃู„ูุง
1291
+
1292
+ 347
1293
+ 00:29:04,010 --> 00:29:07,970
1294
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ูŠ ู…ุตุทู„ุญ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ุนู†ุฏู…ุง ูŠู†ุชู‚ู„ ุฅู„ู‰
1295
+
1296
+ 348
1297
+ 00:29:07,970 --> 00:29:11,550
1298
+ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„
1299
+
1300
+ 349
1301
+ 00:29:11,550 --> 00:29:12,130
1302
+ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„
1303
+
1304
+ 350
1305
+ 00:29:12,130 --> 00:29:14,750
1306
+ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰
1307
+
1308
+ 351
1309
+ 00:29:14,750 --> 00:29:19,150
1310
+ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„
1311
+
1312
+ 352
1313
+ 00:29:19,150 --> 00:29:25,030
1314
+ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ุฒู„
1315
+
1316
+ 353
1317
+ 00:29:25,030 --> 00:29:28,170
1318
+ ูŠู†ู‚ู„
1319
+
1320
+ 354
1321
+ 00:29:32,600 --> 00:29:39,560
1322
+ ุงู„ุจูŠุงู†ุงุช ู„ู† ุชูƒูˆู† 95% ู„ูƒู† ู…ู…ูƒู† ุชุทู„ุน ุงู„ู€ value ู‡ุฐุง ูˆ
1323
+
1324
+ 355
1325
+ 00:29:39,560 --> 00:29:47,540
1326
+ ุงู„ุซุงู†ูŠุฉ ุชุทู„ุน ุงู„ู€ value ู‡ุฐุง ูˆ ุงู„ุซุงู†ูŠุฉ ุชุทู„ุน
1327
+
1328
+ 356
1329
+ 00:29:47,540 --> 00:29:51,300
1330
+ ุงู„ู€ value ู‡ุฐุง ูˆ
1331
+
1332
+ 357
1333
+ 00:29:51,300 --> 00:30:00,620
1334
+ ุงู„ุซุงู†ูŠุฉ ุชุทู„ุน ุงู„ู€
1335
+
1336
+ 358
1337
+ 00:30:01,540 --> 00:30:08,340
1338
+ ุงู„ู„ูŠ ุนู„ู‰ ูŠู…ูŠู†ู‡ุง 2.5% ูŠุนู†ูŠ ุนู„ู‰ ูŠุณุงุฑู‡ุง ูƒุฏู‡ ุฅุฐุง ุนู„ู‰
1339
+
1340
+ 359
1341
+ 00:30:08,340 --> 00:30:13,460
1342
+ ูŠู…ูŠู†ู‡ุง 2.5% ุฅูŠุด ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ูŠุณุงุฑ 97.5% ุฃูˆ ุฃุทู„ุน
1343
+
1344
+ 360
1345
+ 00:30:13,460 --> 00:30:16,420
1346
+ ุงู„ูƒุชุงุจุฉ ุงู„ู€ value ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ ุนู„ู‰ ูŠุณุงุฑู‡ุง 2.5%
1347
+
1348
+ 361
1349
+ 00:30:16,420 --> 00:30:20,780
1350
+ ุทุจุนุง ู„ุณู‡ ู‡ุทู„ุน ุญุงุฏุฉ ู…ุจุงุดุฑุฉ ู…ู† ุงู„ุฌุฏูˆู„ ู…ุธุจูˆุท ุฃุทู„ุน
1351
+
1352
+ 362
1353
+ 00:30:20,780 --> 00:30:24,540
1354
+ ุงู„ุฌุฏูˆู„ ุนู„ู‰ 2.5% 0.25 ุฅูŠุด ุงู„ู‚ูŠู…ุฉ ุจุชุณุงูˆูŠ
1355
+
1356
+ 363
1357
+ 00:30:35,840 --> 00:30:41,680
1358
+ ุฃุทู„ุน ุนู„ู‰ ุงู„ู€ table ุนู„ู‰ IZ
1359
+
1360
+ 364
1361
+ 00:30:41,680 --> 00:30:52,260
1362
+ table ุฃู†ุง ุจุฏูˆุฑ ุนู„ู‰ 025 ุฃุทู„ุน
1363
+
1364
+ 365
1365
+ 00:30:52,260 --> 00:30:57,960
1366
+ in the body of the table ุนู„ู‰ 025 ูˆูŠู† ู…ูˆุฌูˆุฏุฉุŸ
1367
+
1368
+ 366
1369
+ 00:31:00,870 --> 00:31:06,170
1370
+ ู…ุด ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุฅุฐุง
1371
+
1372
+ 367
1373
+ 00:31:06,170 --> 00:31:12,090
1374
+ ุณุงู„ุจ one point nine under six ุฅุฐุง ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ู†ุง
1375
+
1376
+ 368
1377
+ 00:31:12,090 --> 00:31:19,110
1378
+ ุณุงู„ุจ ู‡ูŠ negative one point nine six ู…ุธุจูˆุท ุฅุฐุง ู‡ูŠ
1379
+
1380
+ 369
1381
+ 00:31:19,110 --> 00:31:24,050
1382
+ ุงู„ู€ table ู…ุฏูˆุฑุฉ zero to five ูˆุงุถุญ ุฅู† ุชุญุช ุณุงู„ุจ one
1383
+
1384
+ 370
1385
+ 00:31:24,050 --> 00:31:31,330
1386
+ nine under six ุงู„ู…ูุฑูˆุถ ุงู„ุซุงู†ูŠุฉ ู„ุฃู† ูŠู…ูŠู†ู‡ุง 0.25 ูˆ
1387
+
1388
+ 371
1389
+ 00:31:31,330 --> 00:31:35,630
1390
+ ุฏุง ูŠุณุงุฑู‡ุง 0.25 the same value ุจุณ ุจุฅุดุงุฑุฉ ู…ุฎุชู„ูุฉ
1391
+
1392
+ 372
1393
+ 00:31:35,630 --> 00:31:41,030
1394
+ ู‡ุฐุง negative 196 ุฅุฐุง ุฃู†ุง should be positive ู‡ุฏูˆู„
1395
+
1396
+ 373
1397
+ 00:31:41,030 --> 00:31:45,170
1398
+ ุจุชุณู…ูŠู‡ู… critical values ู„ุฐุง ุงู„ู€ critical values
1399
+
1400
+ 374
1401
+ 00:31:45,170 --> 00:31:48,450
1402
+ ุจุชุทู„ุน ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ู€ z table ูˆ ุงู„ู€ z table ุฃุฎุฐู†ุง
1403
+
1404
+ 375
1405
+ 00:31:48,450 --> 00:31:55,310
1406
+ ูˆูŠู†ุŸ ุดุฑุทุฉ 6 ูˆ ุจุนุฏ ูƒุฏู‡ ุดุฑุทุฉ 6 ู…ู‡ู… ููŠ ุดุฑุทุฉ 9 ู…ุธุจูˆุทุŸ
1407
+
1408
+ 376
1409
+ 00:31:55,310 --> 00:32:01,460
1410
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฅูŠุด ู„ุนุจู‡ุง ูƒุฏู‡ ุฃูู‡ู… ู…ุง ู…ุนู†ุงู‡ุงุŸ ู…ุง ููŠุด
1411
+
1412
+ 377
1413
+ 00:32:01,460 --> 00:32:06,140
1414
+ ุณุคุงู„ ุทุจ ุงู„ุญู…ุฏ ู„ู„ู‡ ู‡ุฐุง ูุถู„ ู…ู† ุฑุจู†ุง ุฃู†ุง ู…ุด ูุงู‡ู… ู‡ูˆ
1415
+
1416
+ 378
1417
+ 00:32:06,140 --> 00:32:11,380
1418
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฅูŠู‡ ุงู„ู„ูŠ ู…ุนู†ุงู‡ ู‡ู… ุฃู†ุง ู…ุด ูุงู‡ู… ุฃูˆ ู…ุงุดูŠ
1419
+
1420
+ 379
1421
+ 00:32:11,380 --> 00:32:17,580
1422
+ ุนู„ูŠู‡ ุจุนุฏู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ ู‡ุฐุง two-tailed ุงู„ู„ูŠ
1423
+
1424
+ 380
1425
+ 00:32:17,580 --> 00:32:20,660
1426
+ ู‚ุงู„ ุงู„ูƒุชุงุจ ูˆุงู‚ู ู„ุบุงูŠุฉ ู‡ู†ุง ูˆ ุจุนุฏูŠู† ู…ุง ุฃุนุทู‰ example
1427
+
1428
+ 381
1429
+ 00:32:20,660 --> 00:32:28,580
1430
+ ุฃู†ุง ู…ุด ู‡ุนู…ู„ ุฒูŠู‡ ุฃู†ุง ู‡ูƒู…ู„ ู‡ุนุทูŠูƒูŠ one-tailed right ุฃูˆ
1431
+
1432
+ 382
1433
+ 00:32:28,580 --> 00:32:34,500
1434
+ left ุฅุฐุง
1435
+
1436
+ 383
1437
+ 00:32:34,500 --> 00:32:38,560
1438
+ ุฑู‚ู…
1439
+
1440
+ 384
1441
+ 00:32:38,560 --> 00:32:49,260
1442
+ ุงุซู†ูŠู† ู‡ุงุฎุฏ upper tail ุฅูŠุด upper tail ุงู„ุทุฑู
1443
+
1444
+ 385
1445
+ 00:32:49,260 --> 00:32:53,420
1446
+ ุงู„ุฃุนู„ู‰ ู‡ุฐุง ุงู„ู€ lower tail ู„ุญุธุฉ ฮผ dose not equal
1447
+
1448
+ 386
1449
+ 00:32:53,420 --> 00:32:58,040
1450
+ ุซู„ุงุซุฉ ููŠ ุงู„ู€ upper tail ุฅูŠุด ู‡ูŠูƒูˆู† ู‡ูŠูƒูˆู† ู‡ูŠูƒูˆู† ฮผ
1451
+
1452
+ 387
1453
+ 00:32:58,040 --> 00:33:07,420
1454
+ equal ุซู„ุงุซุฉ ูˆ ุงู„ู€ H1 ุชูƒูˆู† ุฃูƒุจุฑ ูŠุนู†ูŠ ุฅูŠุด ุฃูƒุจุฑ ู…ุนู†ุงู‡
1455
+
1456
+ 388
1457
+ 00:33:07,420 --> 00:33:10,660
1458
+ ูƒุฏู‡ ุงู„ู€ rejection region ู‡ุชูƒูˆู† ูˆุงุญุฏุฉ ูˆู„ุง ุงุซู†ุชูŠู†
1459
+
1460
+ 389
1461
+ 00:33:10,660 --> 00:33:12,800
1462
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1463
+
1464
+ 390
1465
+ 00:33:12,800 --> 00:33:13,180
1466
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1467
+
1468
+ 391
1469
+ 00:33:13,180 --> 00:33:13,220
1470
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1471
+
1472
+ 392
1473
+ 00:33:13,220 --> 00:33:13,320
1474
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1475
+
1476
+ 393
1477
+ 00:33:13,320 --> 00:33:17,160
1478
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1479
+
1480
+ 394
1481
+ 00:33:17,160 --> 00:33:20,520
1482
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1483
+
1484
+ 395
1485
+ 00:33:20,520 --> 00:33:23,940
1486
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1487
+
1488
+ 396
1489
+ 00:33:26,390 --> 00:33:29,170
1490
+ ุฎู„ู‘ูˆุง ุจุงู„ูƒู… ุฃู†ุง ุจุญูƒูŠ level of significance alpha
1491
+
1492
+ 397
1493
+ 00:33
1494
+
1495
+ 431
1496
+ 00:36:46,500 --> 00:36:50,640
1497
+ five ูŠุนู†ูŠ ู…ุฒูŠุฏ ุฎู…ุณุฉ ูˆุงู„ุซุงู†ูŠุฉ four zero four nine
1498
+
1499
+ 432
1500
+ 00:36:50,640 --> 00:36:53,980
1501
+ five ุชู‚ู„ ุฎู…ุณุฉ ููŠ ุงู„ average ุจูŠู† ุงู„ุงุซู†ูŠู† ุจุชูˆุน ู†ูุณ
1502
+
1503
+ 433
1504
+ 00:36:53,980 --> 00:36:57,440
1505
+ ุงู„ู‚ุตุฉ negative one is point six four five ุฅุฐุง ุงู„
1506
+
1507
+ 434
1508
+ 00:36:57,440 --> 00:37:02,000
1509
+ critical values can be determined for two tail
1510
+
1511
+ 435
1512
+ 00:37:02,000 --> 00:37:06,080
1513
+ test upper tail and lower tail it depends on the
1514
+
1515
+ 436
1516
+ 00:37:06,080 --> 00:37:10,060
1517
+ question ุจุชุนุชู…ุฏ ุนู„ู‰ ุงู„ุณุคุงู„ ู„ุฃู† ุงู„ areas ู‡ุฏูˆู„ ุงู„ู„ูŠ
1518
+
1519
+ 437
1520
+ 00:37:10,060 --> 00:37:12,820
1521
+ ุฃู†ุง ู…ุนู„ู‚ ุนู„ูŠู‡ู… ุจุงู„ุฃุณูˆุฏ ู‡ุฏูˆู„ ุจู†ุณู…ูŠู‡ู…
1522
+
1523
+ 438
1524
+ 00:37:16,220 --> 00:37:19,440
1525
+ rejection region ู‡ู†ุนุฑู ุจุนุฏ ุดูˆูŠุฉ ุฅูŠุด ุจูŠู‚ุตุฏ
1526
+
1527
+ 439
1528
+ 00:37:19,440 --> 00:37:23,580
1529
+ rejection region ุฅุฐุง ู‡ู†ุง ููŠ ุงู„ two-tailed ูƒุงู…
1530
+
1531
+ 440
1532
+ 00:37:23,580 --> 00:37:28,420
1533
+ rejection region ู…ูˆุฌูˆุฏุชูŠู† ูˆุงุญุฏุฉ ุฃูƒุจุฑ ู…ู† 1.96
1534
+
1535
+ 441
1536
+ 00:37:28,420 --> 00:37:32,350
1537
+ ูˆุงุญุฏุฉ ุฃู‚ู„ ู…ู† negative ูˆููŠ ุงู„ upper tail ููŠ one
1538
+
1539
+ 442
1540
+ 00:37:32,350 --> 00:37:37,010
1541
+ rejection region ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† 1.645 ูˆููŠ ุงู„ lower ููŠ
1542
+
1543
+ 443
1544
+ 00:37:37,010 --> 00:37:41,930
1545
+ ูˆุงุญุฏุฉ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† minus 1.645 ู‡ุฐุง ูƒู„ุงู… ุตุญูŠุญ ู„ูˆ
1546
+
1547
+ 444
1548
+ 00:37:41,930 --> 00:37:45,950
1549
+ ูƒุงู†ุช Alpha ุดูˆ ุจุชุณุงูˆูŠ ุฎู…ุณุฉ ุงุญู†ุง ุบุงู„ุจุง ุจู†ุงุฎุฏ ุฎู…ุณุฉ
1550
+
1551
+ 445
1552
+ 00:37:45,950 --> 00:37:50,170
1553
+ ุบุงู„ุจุง ู„ูƒู† ุฃุญูŠุงู†ุง ู„ูˆ ุฃุฎุฐู†ุง ุบูŠุฑ ูƒุฏู‡ ุจู†ุณุชุฎุฏู… ุงู„ุฌุฏูˆู„
1554
+
1555
+ 446
1556
+ 00:37:50,170 --> 00:37:55,130
1557
+ ูุฃู†ุช ุญุงูุธูŠู‡ุง ุฅุฐุง Alpha 5% ู…ู† ุบูŠุฑ ู…ุง ู†ุณุชุฎุฏู… ุงู„
1558
+
1559
+ 447
1560
+ 00:37:55,130 --> 00:38:04,150
1561
+ table ุฅุฐุง ูƒุงู† two-tailed 1.96 negative ูˆ plus ุฅุฐุง
1562
+
1563
+ 448
1564
+ 00:38:04,150 --> 00:38:09,450
1565
+ ูƒุงู† upper tail ุจุชูƒูˆู† plus 1.645 ุฅุฐุง lower tail
1566
+
1567
+ 449
1568
+ 00:38:09,450 --> 00:38:13,150
1569
+ ุจุชูƒูˆู† negative 1.645 ุงุญูุธูŠู‡ุง ูˆุฎู„ุงุต ู…ู† ุบูŠุฑ ู…ุง
1570
+
1571
+ 450
1572
+ 00:38:13,150 --> 00:38:18,270
1573
+ ู†ุณุชุฎุฏู… ุงู„ table ุฅุฐุง ุจู†ุณุฃู„ ุงู„ 5% ู‡ุฏูˆู„ ู‡ุชู‚ุจู„ู‘ูŠู‡ู… ุฒูŠ
1574
+
1575
+ 451
1576
+ 00:38:18,270 --> 00:38:30,510
1577
+ ุงู„ empirical rule 68 95 99.7 questions ุฃูŠ ุณุคุงู„ุŸ ููŠ
1578
+
1579
+ 452
1580
+ 00:38:30,510 --> 00:38:38,920
1581
+ ุฃูŠ ุณุคุงู„ุŸ ุทูŠุจ ู†ูƒู…ู„ ุงู„ุขู† ู‡ู†ุจุฏุฃ ุฃูˆู„ ู†ู‚ุทุฉ ู…ู‡ู…ุฉ ุชุฐูƒุฑ
1582
+
1583
+ 453
1584
+ 00:38:38,920 --> 00:38:42,600
1585
+ ุญูƒูŠู†ุง ููŠ ุงู„ objectives ู†ุฑุฌุน ุซุงู†ูŠ ู„ู„ objectives
1586
+
1587
+ 454
1588
+ 00:38:42,600 --> 00:38:47,800
1589
+ ุงู„ุชุงุจุนุฉ ู„ู„ chapter ุชุณุนุฉ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู„ูŠ ู‚ู„ู†ุง
1590
+
1591
+ 455
1592
+ 00:38:47,800 --> 00:38:51,540
1593
+ ุงู„ู„ูŠ ูุงุช ุญูƒูŠู†ุง ุฃูˆู„ ูˆุงุญุฏ the basic principles of
1594
+
1595
+ 456
1596
+ 00:38:51,540 --> 00:38:56,060
1597
+ hypothesis testing ุงู„ู„ูŠ ุงุญู†ุง ุฎู„ุตู†ุงู‡ ู„ุฃู† ูŠุนู†ูŠ ู„ุบุงูŠุฉ
1598
+
1599
+ 457
1600
+ 00:38:56,060 --> 00:38:59,300
1601
+ ุงู„ูŠูˆู… ุฃู†ุง ุจุณู…ูŠู‡ basic principles ู…ุจุงุฏุฆ ุฃุณุงุณูŠุฉ
1602
+
1603
+ 458
1604
+ 00:38:59,300 --> 00:39:04,020
1605
+ ู„ุงุฎุชุจุงุฑ ุงู„ูุฑุถูŠุฉ ุงู„ุขู† ู‡ู†ุจุฏุฃ how to use hypothesis
1606
+
1607
+ 459
1608
+ 00:39:04,020 --> 00:39:10,240
1609
+ testing ูƒูŠู ู†ุณุชุฎุฏู…ู‡ุง to test ุฃู…ูŠู† ูˆุงุญุฏ ูˆุงู„ู„ู‚ุงุก
1610
+
1611
+ 460
1612
+ 00:39:10,240 --> 00:39:13,720
1613
+ ุงู„ุฌุงูŠ ุงู„ู„ูŠ ู‡ูŠูƒูˆู† ูŠูˆู… ุขุฎุฑ ุจูƒุฑุฉ ุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ or a
1614
+
1615
+ 461
1616
+ 00:39:13,720 --> 00:39:17,940
1617
+ proportion ูŠุนู†ูŠ ุงู„ู„ู‚ุงุก ู‡ูŠูƒูˆู† ุฑุงุจุนุฉ ู…ุด ู‡ูŠ ูŠุนู†ูŠ ุฃู†ู†ุง
1618
+
1619
+ 462
1620
+ 00:39:17,940 --> 00:39:22,140
1621
+ ุงู„ุฃุซู†ูŠู† ูˆุงู„ุฃุฑุจุนุฉ ุจู†ุฎู„ุต chapter ุชุณุนุฉ
1622
+
1623
+ 463
1624
+ 00:39:44,100 --> 00:39:49,460
1625
+ ุฅุฐุง ุงู„ุนู†ูˆุงู† ุชุจุนู†ุง ุงู„ุฌุฏูŠุฏ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† objective ุฑู‚ู…
1626
+
1627
+ 464
1628
+ 00:39:49,460 --> 00:39:51,920
1629
+ ุงุซู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ hypothesis
1630
+
1631
+ 465
1632
+ 00:39:59,210 --> 00:40:08,030
1633
+ testing ุฃูˆู„ ูˆุงุญุฏุฉ ู‡ุงุฎุฏู‡ุง ุฅูŠู‡ for the mean ู„ู„ูˆุณุท
1634
+
1635
+ 466
1636
+ 00:40:08,030 --> 00:40:11,930
1637
+ ุฃู†
1638
+
1639
+ 467
1640
+ 00:40:11,930 --> 00:40:18,430
1641
+ ุฃู†ุง ู‡ุฃุทู„ุน ุฅู† ุฎู„ุงู„ ุงู„ุดุฑุญ ูƒู„ ุญูƒูŠ 90% ู…ูƒุฑุฑ ุฃุฎุฐู†ุงู‡ุง
1642
+
1643
+ 468
1644
+ 00:40:18,430 --> 00:40:25,830
1645
+ ููŠ 6 ูˆ7 ูˆุงู„ุจุงู‚ูŠ ุฌุฏูŠุฏ chapter ุชุณุนุฉ ูˆุฃุฎุฐู†ุง ู…ู†ู‡ ุฌุฒุก ููŠ
1646
+
1647
+ 469
1648
+ 00:40:25,830 --> 00:40:29,390
1649
+ ุงู„ basic principles ุฃู…ุณ ูˆุงู„ูŠูˆู… ู‡ุฃูƒูˆู† ู„ุฃู†
1650
+
1651
+ 470
1652
+ 00:40:29,390 --> 00:40:33,850
1653
+ ููŠ ุดุบู„ุฉ ุฌุฏูŠุฏุฉ ุจุณ ู‡ู†ุชุนุฑู ุนู„ูŠู‡ุง ู…ุน ุจุนุถ ุงู„ hypothesis
1654
+
1655
+ 471
1656
+ 00:40:33,850 --> 00:40:38,890
1657
+ is for ฮผูŠูˆ ู…ูŠู† ูŠุนู†ูŠ ุงู„ู…ูŠูˆ ูˆุฏุงุฆู…ุง ุฒูŠ ู…ุง ุญูƒูŠุช ู…ุฑุฉ
1658
+
1659
+ 472
1660
+ 00:40:38,890 --> 00:40:42,390
1661
+ ูุงุช ุจุนู…ู„ testing about population parameter ุงุฎุชุจุงุฑ
1662
+
1663
+ 473
1664
+ 00:40:42,390 --> 00:40:45,570
1665
+ ุญูˆู„ ุงู„ population ู†ูุณู‡ ุณูˆุงุก ุงู„ mean ุชุจุน ุงู„
1666
+
1667
+ 474
1668
+ 00:40:45,570 --> 00:40:50,810
1669
+ population ุฃูˆ ุงู„ู„ู‚ุงุกุงุช ุงู„ุฌุงูŠุฉ ู„ู„ proportion ู„ุฃู†
1670
+
1671
+ 475
1672
+ 00:40:50,810 --> 00:40:54,410
1673
+ ู‡ู†ุฌูŠุจ ุงู„ุฌุฒุฆูŠู† hypothesis for mu there are two
1674
+
1675
+ 476
1676
+ 00:40:54,410 --> 00:40:57,690
1677
+ scenarios when sigma is known I mean when sigma is
1678
+
1679
+ 477
1680
+ 00:40:57,690 --> 00:41:05,070
1681
+ given sigma is called what's the sigma no it's not
1682
+
1683
+ 478
1684
+ 00:41:05,070 --> 00:41:12,890
1685
+ standard deviation ูˆู„ุง standard ูˆู„ุง variance ุงู„
1686
+
1687
+ 479
1688
+ 00:41:12,890 --> 00:41:16,670
1689
+ sigma ุนุจุงุฑุฉ ุนู† ุฅูŠุด population standard deviation
1690
+
1691
+ 480
1692
+ 00:41:16,670 --> 00:41:19,430
1693
+ ุฃู…ูŠู‘ุฒ ุงู„ sigma ู‡ุฐู‡
1694
+
1695
+ 481
1696
+ 00:41:22,630 --> 00:41:25,950
1697
+ population standard deviation ู„ู…ุง ููŠ ุนู†ุฏ ุงู„ sample
1698
+
1699
+ 482
1700
+ 00:41:25,950 --> 00:41:29,330
1701
+ standard deviation ุงู„ู„ูŠ ู‡ูŠ ุงู„ S ุฃู†ุง ุจุชูƒู„ู… ุนู† ุงู„
1702
+
1703
+ 483
1704
+ 00:41:29,330 --> 00:41:34,130
1705
+ sigma ุงู„ู„ูŠ ู‡ูŠ population standard deviation ุฅุฐุง
1706
+
1707
+ 484
1708
+ 00:41:34,130 --> 00:41:37,930
1709
+ when sigma is known the test is called z test
1710
+
1711
+ 485
1712
+ 00:41:37,930 --> 00:41:41,690
1713
+ ุงู„ุงุฎุชุจุงุฑ ุงุณู…ู‡ z ุงู„ู„ูŠ ู‡ูŠ ุงุฒุงูŠ ุงู„ z score ุงู„ู„ูŠ
1714
+
1715
+ 486
1716
+ 00:41:41,690 --> 00:41:46,510
1717
+ ุฃุฎุฐู†ุงู‡ุง ููŠ chapter 7 ู…ุด 6 ู„ูŠุดุŸ ู„ู…ุง ุฃุชูƒู„ู… ุนู„ู‰ ุงู„
1718
+
1719
+ 487
1720
+ 00:41:46,510 --> 00:41:51,050
1721
+ mean ูˆ ุงู„ mean ูƒุงู†ุช ููŠ chapter ุณุจุนุฉ ุจุฐูƒุฑ ูƒุงู† ุงู„ z ุฃู‚ู„
1722
+
1723
+ 488
1724
+ 00:41:51,050 --> 00:41:55,670
1725
+ ุนู† x bar minus mu divided by sigma over root n ู‡ุฐุง
1726
+
1727
+ 489
1728
+ 00:41:55,670 --> 00:42:00,230
1729
+ chapter ุณุจุนุฉ ุงู„ุญุงุฌุฉ ุงู„ุซุงู†ูŠุฉ when sigma is unknown
1730
+
1731
+ 490
1732
+ 00:42:00,230 --> 00:42:05,650
1733
+ ูŠุนู†ูŠ sigma ู…ุด ู…ุนู„ูˆู…ุฉ ู‡ู†ุงุฎุฏ ุงู„ new test is called t
1734
+
1735
+ 491
1736
+ 00:42:05,650 --> 00:42:09,590
1737
+ test for next time ุฅู† ุดุงุก ุงู„ู„ู‡ next time ุงู„ู„ู‡ ุฃุนู„ู…
1738
+
1739
+ 492
1740
+ 00:42:10,560 --> 00:42:14,320
1741
+ ู…ุด ุดุฑุท ุจูƒุฑุฉ ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง ู…ู† ุงู„ุฃุฑุจุนุงุก ุงู„ู‚ุงุฏู…ุฉ ุฃูˆ ูˆู„ุง
1742
+
1743
+ 493
1744
+ 00:42:14,320 --> 00:42:21,260
1745
+ ุญุณุจ ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ู‡ุฃุจุฏุฃ when sigma is known ุฅุฐุง ุฃู†ุง
1746
+
1747
+ 494
1748
+ 00:42:21,260 --> 00:42:27,960
1749
+ ุฃุชูƒู„ู… ุนู† ุงู„ test for the mean ููŠ ุดุบู„ุชูŠู† ุฅูŠู‡ ูˆุงุญุฏุฉ sigma is
1750
+
1751
+ 495
1752
+ 00:42:27,960 --> 00:42:33,180
1753
+ known ุฅูŠุด ู…ุนู†ู‰ known ูŠุนู†ูŠ ุงู„ sigma ุฃู†ุง ุนุงุฑู
1754
+
1755
+ 496
1756
+ 00:42:33,180 --> 00:42:37,420
1757
+ ุจุงู„ุนุฑุจูŠ ู…ุนู†ุงู‡ sigma is given ู…ุนุทู‰ ู…ุนุงู‡ ูŠุนู†ูŠ sigma
1758
+
1759
+ 497
1760
+ 00:42:37,420 --> 00:42:43,790
1761
+ ู…ุนุฑูˆูุฉ ููŠ ุงู„ู…ุซุงู„ ูƒู„ ุงู„ู„ูŠ ู‡ุฃุนู…ู„ู‡ step number one convert
1762
+
1763
+ 498
1764
+ 00:42:43,790 --> 00:42:49,210
1765
+ sample statistic x bar to z statistic ุณู‡ู„ ุฃูˆ ู„ุง
1766
+
1767
+ 499
1768
+ 00:42:49,210 --> 00:42:57,550
1769
+ ูŠุนู†ูŠ ูƒู„ ุงู„ู„ูŠ ุจุนู…ู„ู‡ ุจุทู„ู‚ ุนู„ูŠู‡ z statistic ู‡ุฐุง z stat means
1770
+
1771
+ 500
1772
+ 00:42:57,550 --> 00:43:02,650
1773
+ for z statistic z stat ูŠุนู†ูŠ z test statistic
1774
+
1775
+ 501
1776
+ 00:43:02,650 --> 00:43:09,030
1777
+ ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ู…ุด ุจุงู„ุณุงูˆูŠ ุฃุฎุฐู†ุงู‡ุง ู‚ุจู„ ูƒุฏู‡ ุชุฐูƒุฑ X bar
1778
+
1779
+ 502
1780
+ 00:43:09,030 --> 00:43:13,650
1781
+ minus ุงู„ mean ู‡ุฐุง
1782
+
1783
+ 503
1784
+ 00:43:13,650 --> 00:43:18,130
1785
+ ู…ู† ุฃูŠ chapterุŸ chapter 7 ุฅุฐุง chapter 7 ุฏุฎู„ ู…ุนุงูŠุง
1786
+
1787
+ 504
1788
+ 00:43:18,130 --> 00:43:21,950
1789
+ ุนู„ู‰ ุญุณุงุจ ุชุณู…ูŠุฉ test statistic
1790
+
1791
+ 505
1792
+ 00:43:27,880 --> 00:43:30,180
1793
+ ุฅุฐุง ุฃุฎุจุฑุชูƒ ุฃู†ูƒ ุชุญุณุจ ุงู„ test statistic ู‚ูŠู…ุฉ
1794
+
1795
+ 506
1796
+ 00:43:30,180 --> 00:43:36,720
1797
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
1798
+
1799
+ 507
1800
+ 00:43:36,720 --> 00:43:40,460
1801
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
1802
+
1803
+ 508
1804
+ 00:43:40,460 --> 00:43:47,580
1805
+ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุจู‚ูŠู…ุฉ
1806
+
1807
+ 509
1808
+ 00:43:47,580 --> 00:43:48,460
1809
+ ุงู„ุงุฎุชุจุงุฑ
1810
+
1811
+ 510
1812
+ 00:43:54,340 --> 00:43:57,400
1813
+ ูŠุนู†ูŠ for two-tailed test for the mean sigma known
1814
+
1815
+ 511
1816
+ 00:43:57,400 --> 00:44:01,600
1817
+ -convert x bar to z statistic ุฎู„ุตู†ุง step 2
1818
+
1819
+ 512
1820
+ 00:44:01,600 --> 00:44:05,840
1821
+ determine the critical z values ุญุฏุฏ ุงู„ critical
1822
+
1823
+ 513
1824
+ 00:44:05,840 --> 00:44:08,900
1825
+ values ุงู„ู„ูŠ ุทู„ุนู†ุงู‡ู… ู…ู† ุดูˆูŠุฉ ุงู„ู„ูŠ ู‡ู… ู„ู…ุง ุงู„ alpha
1826
+
1827
+ 514
1828
+ 00:44:08,900 --> 00:44:16,000
1829
+ ูƒุงู†ุช 5% ุฅูŠุด ูƒุงู†ูˆุง ุจูŠุณุงูˆูˆุง plus or minus 1.96 ู‡ุฏูˆู„
1830
+
1831
+ 515
1832
+ 00:44:16,000 --> 00:44:20,760
1833
+ ุงู„ critical values step 1 step 2 ุฃุทู„ุน ุงู„ critical
1834
+
1835
+ 516
1836
+ 00:44:20,760 --> 00:44:22,840
1837
+ values
1838
+
1839
+ 517
1840
+ 00:44:25,720 --> 00:44:30,040
1841
+ ูˆู‡ุฏูˆู„ ุฒูŠ ู…ุง ุญูƒูŠุช ุจูŠุทู„ุนูˆุง ุจูŠุชุญู…ู„ูˆุง ู…ู† ู…ู† ุงู„ table
1842
+
1843
+ 518
1844
+ 00:44:30,040 --> 00:44:35,780
1845
+ ุทุจุนุง for specified level of significance alpha ุญุณุจ
1846
+
1847
+ 519
1848
+ 00:44:35,780 --> 00:44:37,620
1849
+ ู‚ูŠู…ุฉ ุงู„ alpha ุงุญู†ุง ุฃุฎุฐู†ุง ุงู„ alpha ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
1850
+
1851
+ 520
1852
+ 00:44:37,620 --> 00:44:42,160
1853
+ from ุงู„ table ุฃุฎุฐู†ุง ุงู„ table ุชุนุฒูŠุฒูŠ ุงู„ table or
1854
+
1855
+ 521
1856
+ 00:44:42,160 --> 00:44:46,260
1857
+ using computer software ู…ุงู†ุนุด ููŠู‡ุง ูŠุนู†ูŠ ุจุงู„ Excel
1858
+
1859
+ 522
1860
+ 00:44:46,260 --> 00:44:51,180
1861
+ ู…ู…ูƒู† ุฃูˆ ุฃูŠ ุญุณุงุจ ุฃูˆ ุฃูŠ ุจุฑู†ุงู…ุฌ ูŠุญุตู„ ุฅุฐุง step ุฑู‚ู… 2
1862
+
1863
+ 523
1864
+ 00:44:51,180 --> 00:44:58,140
1865
+ ุณู‡ู„ ู‡ุฐุง ุฃุฐูƒุฑูƒ ููŠู‡ ุนุงู„ู‡ู…ุด ู„ูˆ ูƒุงู†ุช Alpha ุจ 5% ูˆูƒุงู†
1866
+
1867
+ 524
1868
+ 00:44:58,140 --> 00:45:01,740
1869
+ ููŠู‡ two-tailed ุฅูŠุด ู‡ุชุทู„ุน ุงู„ุฌูˆุงุจ plus or
1870
+
1871
+ 525
1872
+ 00:45:01,740 --> 00:45:07,540
1873
+ minusุŸ ู…ุธุจูˆุท ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู† 1.96 ูˆุงู„ุซุงู†ูŠุฉ ุนู„ู‰ ุงู„ุดู…ุงู„
1874
+
1875
+ 526
1876
+ 00:45:07,540 --> 00:45:15,560
1877
+ negative 1.96 ูˆู„ูˆ ูƒุงู† one-tailed ุญุณุจ ู‡ุชูƒูˆู† 1.645
1878
+
1879
+ 527
1880
+ 00:45:15,560 --> 00:45:20,500
1881
+ ุฅุฐุง ูƒุงู†ุช ุนู„ู‰ ุงู„ right ูŠุนู†ูŠ ุงู„ upper ู…ุธุจูˆุท
1882
+
1883
+ 528
1884
+ 00:45:22,760 --> 00:45:27,760
1885
+ ุฃูˆ negative 1.645 ุฅุฐุง ูƒุงู†ุช ุฃุณูู„ ุฃุนุชู‚ุฏ ูƒุฏู‡ ุณู‡ู„ุฉ ุณู‡ู„ุฉ
1886
+
1887
+ 529
1888
+ 00:45:27,760 --> 00:45:35,980
1889
+ ู‡ุฐุง ุงู„ second step ุทูŠุจ ู„ุงุญุธ ู…ู† ุฃูŠ chapter ุงุณุชุฎุฏุงู…
1890
+
1891
+ 530
1892
+ 00:45:35,980 --> 00:45:39,920
1893
+ ุงู„ Z-table ู…ู† chapter 6 ู…ุธุจูˆุท ุฅุฐุง ูˆุงุถุญ step 1 ูˆ 2
1894
+
1895
+ 531
1896
+ 00:45:39,920 --> 00:45:44,300
1897
+ ู…ู† where ู…ู† ุงู„ previous chapters ู…ู† 6 ูˆ 7 ุจุชุชู… ุนู†ุฏ
1898
+
1899
+ 532
1900
+ 00:45:44,300 --> 00:45:50,020
1901
+ chapter 9 ูƒู„ู…ุฉ ุตุบูŠุฑุฉ ุชุญุช ุงู„ู„ูŠ ู‡ูŠ step 3 ุงู„ู„ูŠ ู‡ูˆ
1902
+
1903
+ 533
1904
+ 00:45:50,020 --> 00:45:55,690
1905
+ decision rule ุงู„ู‚ุฑุงุฑ ุชุจุนู†ุง ูŠุนู†ูŠ ูƒู„ ุดุบู„ู†ุง ุนู„ู‰ ุงู„
1906
+
1907
+ 534
1908
+ 00:45:55,690 --> 00:46:02,250
1909
+ decision rule ููŠ chapter 9 ุจูŠุญูƒูŠ ุงู„ู‚ุงุนุฏุฉ ุงู„ู„ูŠ ู‡ูŠ rule
1910
+
1911
+ 535
1912
+ 00:46:02,250 --> 00:46:08,070
1913
+ of thumb if the test statistic ุฅุฐุง ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ
1914
+
1915
+ 536
1916
+ 00:46:08,070 --> 00:46:13,230
1917
+ falls in the rejection region ุงู„ rejection ุจู‚ูˆู„ ู„ูƒ
1918
+
1919
+ 537
1920
+ 00:46:13,230 --> 00:46:16,750
1921
+ ู‡ูŠ ู‡ู… ุงู„ุฃุณูˆุฏ ุงู„ุนุงู„ู…ูŠู† ูˆุงู„ุดู…ุงู„ ููŠ ุงู„ two tail ุงู„ู„ูŠ
1922
+
1923
+ 538
1924
+ 00:46:16,750 --> 00:46:24,090
1925
+ ู‡ู… ู‡ุฏูˆู„ ู‡ู†ุง ูƒุงู†ุช ู‡ุฏูˆู„ ุงู„ุงุซู†ูŠู† ุจู†ุณู…ูŠู‡ู… rejection
1926
+
1927
+ 539
1928
+ 00:46:24,090 --> 00:46:27,950
1929
+ region ูˆ
1930
+
1931
+ 540
1932
+ 00:46:27,950 --> 00:46:31,870
1933
+ ุงู„ upper tail ูŠูƒูˆู†ูˆุง
1934
+
1935
+ 541
1936
+ 00:46:31,870 --> 00:46:36,290
1937
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆุงู„ lower tail ูˆูŠู†ุŸ ุนู„ู‰ ุงู„ุดู…ุงู„ ู‡ุฏูˆู„
1938
+
1939
+ 542
1940
+ 00:46:36,290 --> 00:46:42,270
1941
+ ุจู†ุณู…ูŠู‡ู… rejection regions ุจูŠุญูƒูŠ ุทุจุนุง ุฃูŠ ู…ุซุงู„ ุจุชูƒูˆู†
1942
+
1943
+ 543
1944
+ 00:46:42,270 --> 00:46:46,610
1945
+ ุฅู…ุง two tail ุฃูˆ one tail ุฃูˆ upper tail lower tail
1946
+
1947
+ 544
1948
+ 00:46:46,610 --> 00:46:49,530
1949
+ ุฃูˆ upper tail ู…ุง ุจูŠูƒูˆู†ุด ุชู„ุงุชุฉ ู…ุน ุจุนุถ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุจุณ
1950
+
1951
+ 545
1952
+ 00:46:50,530 --> 00:46:55,610
1953
+ ูุจูŠุทู„ุน ุงู„ rejection region ุงู„ู‚ุฑุงุฑ if the test
1954
+
1955
+ 546
1956
+ 00:46:55,610 --> 00:46:58,870
1957
+ statistic ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ุงู„ู„ูŠ ูˆูŠู† ุทู„ุน ุญุณุจุชู‡ step
1958
+
1959
+ 547
1960
+ 00:46:58,870 --> 00:47:02,770
1961
+ ูˆุงุญุฏ if the test falls in the rejection region
1962
+
1963
+ 548
1964
+ 00:47:02,770 --> 00:47:12,590
1965
+ ุจูŠู‚ุน ุฌูˆุง then we reject H zero is an if the test
1966
+
1967
+ 549
1968
+ 00:47:12,590 --> 00:47:19,150
1969
+ statistic ุฎู„ูŠู†ุง ู†ุญูƒูŠู‡ุง ุจุตูˆุฑุฉ ุฃุฏู‚ if the value ู‚ูŠู…ุฉ
1970
+
1971
+ 550
1972
+ 00:47:19,150 --> 00:47:22,830
1973
+ ุฅุฐุง ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
1974
+
1975
+ 551
1976
+ 00:47:22,830 --> 00:47:28,390
1977
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
1978
+
1979
+ 552
1980
+ 00:47:28,390 --> 00:47:29,750
1981
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
1982
+
1983
+ 553
1984
+ 00:47:29,750 --> 00:47:29,770
1985
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
1986
+
1987
+ 554
1988
+ 00:47:29,770 --> 00:47:32,830
1989
+ ูƒู…ูŠุฉ
1990
+
1991
+ 555
1992
+ 00:47:32,830 --> 00:47:38,870
1993
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
1994
+
1995
+ 556
1996
+ 00:47:38,870 --> 00:47:43,670
1997
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
1998
+
1999
+ 557
2000
+ 00:47:43,670 --> 00:47:44,750
2001
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ
2002
+
2003
+ 558
2004
+ 00:47:44,750 --> 00:47:44,770
2005
+ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ
2006
+
2007
+ 559
2008
+ 00:47:44,770 --> 00:47:47,460
2009
+ ุงู„ุงุฎุชุจุงุฑ ูƒู…ูŠุฉ ูˆู‚ุน ุฌูˆุง ูŠุนู†ูŠ ุฅูŠุดุŸ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช two
2010
+
2011
+ 560
2012
+ 00:47:47,460 --> 00:47:49,980
2013
+ -tailed ู„ุฃ ู„ูˆ ุฃูƒุจุฑ ู…ู† ู‡ุฐู‡ ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู†ุงุญูŠุฉ ุงู„
2014
+
2015
+ 561
2016
+ 00:47:49,980 --> 00:47:54,620
2017
+ negative ู…ุง ุฃู†ุง ูˆู‚ุน ููŠู‡ุงุŒ ูŠุนู†ูŠ ุชุฎูŠู„ ู…ุนุงูŠุง ุฃุฎุฐ
2018
+
2019
+ 562
2020
+ 00:47:54,620 --> 00:48:00,760
2021
+ example ุจุชูƒู„ู… ุนู„ู‰ 1.96 ู„ู„ critical values ุงู„
2022
+
2023
+ 563
2024
+ 00:48:00,760 --> 00:48:05,960
2025
+ rejection region ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู‡ู†ุงุŒ ู…ุธุจูˆุท ุฃูˆ
2026
+
2027
+ 564
2028
+ 00:48:05,960 --> 00:48:11,680
2029
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„ุขู† ุจุชุนุทูŠูƒ for example suppose Z equal
2030
+
2031
+ 565
2032
+ 00:48:11,680 --> 00:48:19,360
2033
+ 3.5 ู‡ุฐุง ุฒูŠ ู‚ูŠู…ุฉ ุฒูŠ stat ู‡ุฐุง ุงู„ test ุงู„
2034
+
2035
+ 566
2036
+ 00:48:19,360 --> 00:48:23,060
2037
+ statistic ุฃุณุฃู„ ู†ูุณูƒ does this value fall in the
2038
+
2039
+ 567
2040
+ 00:48:23,060 --> 00:48:27,580
2041
+ rejection region ูŠุนู†ูŠ ุฅู…ุง ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† 1.96 ุฃูˆ ุฃู‚ู„
2042
+
2043
+ 568
2044
+ 00:48:27,580 --> 00:48:33,280
2045
+ ู…ู† negative ููˆุงุถุญ ู‡ุฐู‡ ู‡ู†ุง ุฅุฐุง we reject the null
2046
+
2047
+ 569
2048
+ 00:48:33,280 --> 00:48:37,660
2049
+ hypothesis ุทูŠุจ ู„ูˆ ูƒุงู†ุช for example z equal
2050
+
2051
+ 570
2052
+ 00:48:37,660 --> 00:48:41,700
2053
+ negative one ุฃู†ุง ุฃุชูƒู„ู…ุช
2054
+
2055
+ 571
2056
+ 00:48:49,770 --> 00:48:55,290
2057
+ ู…ุด ูƒู„ ุณุงู„ุจ ุจูŠ reject ูˆู„ุง ูƒู„ ู…ูˆุฌุจ ุจูŠ reject ู‡ู†ุง
2058
+
2059
+ 572
2060
+ 00:48:55,290 --> 00:49:00,470
2061
+ ุจุชูƒู„ู… ุนู† two-tailed negative 1.4 ุงู„
2062
+
2063
+ 573
2064
+ 00:49:00,470 --> 00:49:08,030
2065
+ rejection ุฑ ุฑ ู†ุชุนูˆุฏ ุนู„ูŠู‡ุง ุฑ ุฑ ูŠุนู†ูŠ ุฅูŠุด rejection
2066
+
2067
+ 574
2068
+ 00:49:08,030 --> 00:49:13,390
2069
+ region ู‡ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† 1.96 ุฃูˆ ุฃู‚ู„ ู…ู† ู…ู†
2070
+
2071
+ 575
2072
+ 00:49:13,390 --> 00:49:15,150
2073
+ ุณุงู„ุจ
2074
+
2075
+ 576
2076
+ 00:49:16,600 --> 00:49:20,840
2077
+ ุชุณุฃู„ ู†ูุณูƒ ุงู„ negative 1.4 ู‡ู„ ู‡ูŠ ุฃู‚ู„ ู…ู† ู†ุงู‚ุต 1.9ุŸ
2078
+
2079
+ 577
2080
+ 00:49:20,840 --> 00:49:26,380
2081
+ ู„ุฃุŒ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ ู‡ู†ุง ู‡ุฐู‡ ุงู„ area ุงู„ุจูŠุถุงุกุŒ
2082
+
2083
+ 578
2084
+ 00:49:26,380 --> 00:49:30,480
2085
+ ุจู†ุณู…ูŠู‡ุง non rejection areaุŒ ู…ู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุงุก
2086
+
2087
+ 579
2088
+ 00:49:30,480 --> 00:49:34,800
2089
+ ุงู„ู„ูŠ ุจูŠู† ุงู„ุงุซู†ูŠู†ุŒ ุจุณ ููŠู‡ุง ู…ู†ุทู‚ุฉ ุนุฏู… ุงู„ุฑูุถ ุทูŠุจุŒ
2090
+
2091
+ 580
2092
+ 00:49:34,800 --> 00:49:39,120
2093
+ ุฃุนุทูŠู†ูŠ example ููŠู‡ุง reject ู„ู„ู…ุซุงู„ ู‡ุฐุงุŒ ุฃุนุทูŠู†ูŠ ุงู„ z
2094
+
2095
+ 581
2096
+ 00:49:39,120 --> 00:49:46,640
2097
+ ูŠูƒูˆู† ููŠู‡ุง reject 2.5 ู„ูˆ ูˆู‚ุน ู‡ู†ุง ุงู„ุซุงู†ูŠ ุจุงู„ุงุซู†ูŠู†
2098
+
2099
+ 582
2100
+ 00:49:46,640 --> 00:49:50,520
2101
+ ูˆุงู‚ุน ู‡ู†ุง ููŠ ุงู„ region of rejection ุฃุนุทูŠู†ูŠ ุญุงู„ุฉ ู„ู„
2102
+
2103
+ 583
2104
+ 00:49:50,520 --> 00:49:56,500
2105
+ .. don't reject 1 .. 1 ู‡ู†ุง ุงู„ุซุงู†ูŠ 1 2
2106
+
2107
+ 584
2108
+ 00:49:56,500 --> 00:50:01,620
2109
+ ู‡ู†ุง 1.4 ู‡ู†ุง ูˆู‡ูƒุฐุง 1.4 ูŠุนู†ูŠ ุฃูŠ
2110
+
2111
+ 585
2112
+ 00:50:01,620 --> 00:50:04,360
2113
+ ุญุงุฌุฉ between negative 1.96 and 1.
2114
+
2115
+ 586
2116
+ 00:50:04,360 --> 00:50:08,940
2117
+ 96 non rejection region ุฃุนุทูŠูƒูŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
2118
+
2119
+ 587
2120
+ 00:50:08,940 --> 00:50:12,900
2121
+ ู„ู…ูŠู†ุŸ ู„ู„ two tailed ู†ุงุฎุฐ one tailed ุฅุฐุง ู…ุฑุฉ ุซุงู†ูŠุฉ
2122
+
2123
+ 588
2124
+ 00:50:12,900 --> 00:50:17,920
2125
+ three steps Compute the test statistic ู…ู† Chapter 7
2126
+
2127
+ 589
2128
+ 00:50:17,920 --> 00:50:23,980
2129
+ ุงุญุณุจ ุงู„ Critical values ู…ู† Chapter 6 Chapter 9 ุจุณ
2130
+
2131
+ 590
2132
+ 00:50:23,980 --> 00:50:28,920
2133
+ ุดุบู„ ุตุบูŠุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ decision rule We reject the
2134
+
2135
+ 591
2136
+ 00:50:28,920 --> 00:50:33,220
2137
+ null if the statistic value falls in the rejection
2138
+
2139
+ 592
2140
+ 00:50:33,220 --> 00:50:37,220
2141
+ region Now for two-tailed test, the rejection
2142
+
2143
+ 593
2144
+ 00:50:37,220 --> 00:50:41,620
2145
+ region is in the lower tail and upper tail But on
2146
+
2147
+ 594
2148
+ 00:50:41,620 --> 00:50:44,780
2149
+ the other hand, if we are talking about one-tailed
2150
+
2151
+ 595
2152
+ 00:50:44,780 --> 00:50:52,730
2153
+ test 1 tail ุฏุฎู„ู†ุง ู†ุฑุณู…ู‡ุง ุชุญุช ู‡ู†ุง ู‡ูŠ ุงู„ right
2154
+
2155
+ 596
2156
+ 00:50:52,730 --> 00:50:56,690
2157
+ suppose we are talking about right tail and alpha
2158
+
2159
+ 597
2160
+ 00:50:56,690 --> 00:51:00,870
2161
+ is five percent so this value equals ุฅูŠุด ุงู„ู‚ูŠู…ุฉ
2162
+
2163
+ 598
2164
+ 00:51:00,870 --> 00:51:08,590
2165
+ ุจุชุณุงูˆูŠ ุงุญูุธู†ูŠ ูŠุงู‡ุง 1.645 ู…ุธุจูˆุท ุทุจ ู„ูˆ ุงุฒุงูŠ ุงู„
2166
+
2167
+ 599
2168
+ 00:51:08,590 --> 00:51:16,090
2169
+ statistic ุณูˆู‰ 1.5 ูˆุงู‚ุน ู‡ู†ุง ููŠ ุงู„ rejection
2170
+
2171
+ 600
2172
+ 00:51:16,090 --> 00:51:20,750
2173
+ ุฅุฐุง ุงู„ rejection ุชูƒูˆู† ุงู„ z stat ู…ุงู„ู‡ุง ุฃูƒุจุฑ
2174
+
2175
+ 601
2176
+ 00:51:20,750 --> 00:51:30,910
2177
+ ู…ู† 1.645 ู‡ู†ุง ุฅูŠุด ูƒุงู†ุช ุฃูƒุจุฑ ุฃูˆ ุฃู‚ู„ ู…ุธุจูˆุท ู‡ู†ุง ุจุณ
2178
+
2179
+ 602
2180
+ 00:51:30,910 --> 00:51:33,970
2181
+ ุฃูƒุจุฑ ู„ูŠุดุŸ ู„ุฃู† ุนู†ุฏูŠ upper tail ูŠุนู†ูŠ ู„ูˆ ุจุฎุชุจุฑ ู…ูŠูˆ
2182
+
2183
+ 603
2184
+ 00:51:33,970 --> 00:51:39,730
2185
+ ุฃูƒุจุฑ ู…ู† 30 ู‡ู†ุง ุจุฎุชุจุฑ ู…ูŠูˆ ุจุชุณุงูˆูŠุด 30 ุทุจ ุฃุนุทูŠู†ูŠ ุญุงุฌุฉ
2186
+
2187
+ 604
2188
+ 00:51:39,730 --> 00:51:47,940
2189
+ reject ุฃูŠ ุญุงุฌุฉ ุฃูƒุจุฑ ู…ู† 1.645 1.7 2 ุฃูŠ ุญุงุฌุฉ ุฌูˆุง
2190
+
2191
+ 605
2192
+ 00:51:47,940 --> 00:51:53,980
2193
+ 4 5 6 ุฃูŠ ุญุงุฌุฉ ุฌูˆุง ุทุจ ู‡ุฐุง upper tail ู†ุงุฎุฐ
2194
+
2195
+ 606
2196
+ 00:51:53,980 --> 00:52:00,220
2197
+ lower tail lower tail the area to the left ุงู„ู„ูŠ ู‡ูŠ
2198
+
2199
+ 607
2200
+ 00:52:00,220 --> 00:52:06,100
2201
+ negative 1.645 ุทุจ ุฃ reject ุฅุฐุง ูƒุงู†ุช ุงู„ z-stat ู…ุงู„ู‡ุง
2202
+
2203
+ 608
2204
+ 00:52:06,100 --> 00:52:12,620
2205
+ ุฃู‚ู„ ู…ู† negative ุทุจ ู„ูˆ ุณูˆู‰ ุงู„ z-stat negative 1
2206
+
2207
+ 609
2208
+ 00:52:14,830 --> 00:52:17,090
2209
+ ุงู„ negative 1 ููŠ ุงู„ non-rejection region ู„ุฐุง
2210
+
2211
+ 610
2212
+ 00:52:17,090 --> 00:52:24,290
2213
+ ู„ุง ู†ู†ุฌุญ ุฅุฐุง ุณูˆู‰ negative 2 ู„ุง ู†ู†ุฌุญ ู„ุง ู†ู†ุฌุญ ู„ุง
2214
+
2215
+ 611
2216
+ 00:52:24,290 --> 00:52:30,450
2217
+ ู†ู†ุฌุญ ูˆู‡ู†ุง ู†ู†ุฌุญ ูˆุงุถุญุŸ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฅู†ูƒ ุชุญู„ูŠ ุงู„ู…ุซุงู„
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1
+ 1
2
+ 00:00:20,650 --> 00:00:22,910
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุŒ today ุฅู† ุดุงุก ุงู„ู„ู‡ we
4
+
5
+ 2
6
+ 00:00:22,910 --> 00:00:25,990
7
+ continue with chapter 9, at the last lecture we
8
+
9
+ 3
10
+ 00:00:25,990 --> 00:00:29,890
11
+ talked about hypothesis testing and we said that
12
+
13
+ 4
14
+ 00:00:29,890 --> 00:00:33,990
15
+ there are two cases when I will deal with the
16
+
17
+ 5
18
+ 00:00:33,990 --> 00:00:37,710
19
+ hypothesis tests. There are two cases, the first one
20
+
21
+ 6
22
+ 00:00:37,710 --> 00:00:42,030
23
+ we said, and it depends on the existence of sigma
24
+
25
+ 7
26
+ 00:00:42,030 --> 00:00:46,910
27
+ which is the population standard deviation. We said
28
+
29
+ 8
30
+ 00:00:46,910 --> 00:00:50,510
31
+ that the first case is when sigma is known and we
32
+
33
+ 9
34
+ 00:00:50,510 --> 00:00:53,290
35
+ took it in details at the last lecture. We said
36
+
37
+ 10
38
+ 00:00:53,290 --> 00:00:57,090
39
+ that we will use the z test, and under the z test there are
40
+
41
+ 11
42
+ 00:00:57,090 --> 00:01:00,640
43
+ two approaches: ุงู„ critical value approach and ุงู„ู€ P value approach, and we learned how we
44
+
45
+ 12
46
+ 00:01:00,640 --> 00:01:04,500
47
+ calculate the P value, and we said that we have to
48
+
49
+ 13
50
+ 00:01:04,500 --> 00:01:07,520
51
+ compare the P value with alpha, which is the level of
52
+
53
+ 14
54
+ 00:01:07,520 --> 00:01:11,620
55
+ significance. Today we will focus on the second
56
+
57
+ 15
58
+ 00:01:16,340 --> 00:01:22,030
59
+ case, which is when sigma is unknown. Okay, so the
60
+
61
+ 16
62
+ 00:01:22,030 --> 00:01:26,430
63
+ first slide says, "Do you ever truly know sigma, ุงู„ู€"
64
+
65
+ 17
66
+ 00:01:26,430 --> 00:01:29,250
67
+ ู„ูŠ ู‡ูŠ population standard deviationุŸ ูŠุนู†ูŠ ู‡ู„ ุงุญู†ุง ู‡ู„
68
+
69
+ 18
70
+ 00:01:29,250 --> 00:01:32,890
71
+ ูุนู„ุง ุฏุงุฆู…ุง ุชูƒูˆู† ุงู„ sigma ู…ุนุฑูˆูุฉ ุนู†ุฏูŠ ูˆู„ุง ู„ุฃุŸ ุจุญูƒูŠู„ูƒ
72
+
73
+ 19
74
+ 00:01:32,890 --> 00:01:35,790
75
+ ุญูŠู† probably not. ูŠุนู†ูŠ perhaps ุงู†ู‡ ู…ู…ูƒู† ู…ุง ุชูƒูˆู†ุด
76
+
77
+ 20
78
+ 00:01:35,790 --> 00:01:39,590
79
+ ู…ุนุฑูˆูุฉ ุงู„ sigma ุนู†ุฏูŠ. ูุจุญูƒูŠู„ูƒ ุงู† virtually all
80
+
81
+ 21
82
+ 00:01:39,590 --> 00:01:42,970
83
+ real-world business situations, sigma is not known.
84
+
85
+ 22
86
+ 00:01:42,970 --> 00:01:46,150
87
+ ูŠุนู†ูŠ ุจุงู„ุญูŠุงุฉ practically, ูŠุนู†ูŠ ุจุงู„ุญูŠุงุฉ ุจุงู„ูˆุงู‚ุนูŠุฉ
88
+
89
+ 23
90
+ 00:01:46,150 --> 00:01:49,820
91
+ ู…ุซู„ุง ู†ุญูƒูŠ ููŠ ุงู„ business situations ุจุงู„ุฃุบู„ุจ ุจุชูƒูˆู†
92
+
93
+ 24
94
+ 00:01:49,820 --> 00:01:53,320
95
+ ุงู„ sigma ู…ุด ู…ุนุฑูˆูุฉ. Okay, ุงู„ู€ ุจุนุฏ ุจุญูƒูŠู„ูƒ if there is
96
+
97
+ 25
98
+ 00:01:53,320 --> 00:01:57,380
99
+ a situation where sigma is known, then mu is also
100
+
101
+ 26
102
+ 00:01:57,380 --> 00:02:00,580
103
+ known, since to calculate sigma, you need to know mu.
104
+
105
+ 27
106
+ 00:02:00,580 --> 00:02:04,500
107
+ ูŠุนู†ูŠ ุจู‚ูˆู„ูƒ ููŠ situation ู„ู…ุง ุจุชูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ ุงู„
108
+
109
+ 28
110
+ 00:02:04,500 --> 00:02:08,360
111
+ sigma ู…ุนุฑูˆูุฉุŒ ูุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mu ู…ุนุฑูˆูุฉ ู„ูŠุดุŸ ู„ุฃู†ู‡
112
+
113
+ 29
114
+ 00:02:08,360 --> 00:02:11,400
115
+ ุงู„ sigma ู„ู…ุง ุฃุฌูŠ ุฃุญุณุจ ุงู„ sigma ููŠ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุญุณุงุจ
116
+
117
+ 30
118
+ 00:02:11,400 --> 00:02:14,800
119
+ ุงู„ sigmaุŒ ุงูŠุด ู…ูˆุฌูˆุฏุŸ ุงู„ mu. ูุจู…ุง ุงู†ูŠ ุงู†ุง ุทู„ุนุช ุงู„
120
+
121
+ 31
122
+ 00:02:14,800 --> 00:02:17,560
123
+ sigma ุงูˆ ูƒุงู†ุช ู…ุนุฑูˆูุฉ ุฃูƒูŠุฏ ุงู„ mu ู…ุนุฑูˆูุฉุŒ ู„ุฃู† ุจุณุชุฎุฏู…ู‡ุง
124
+
125
+ 32
126
+ 00:02:17,560 --> 00:02:23,620
127
+ ููŠ ุญุณุงุจ ุงู„ sigma. Okay, ุจุณู…ูƒ ุจุชุญูƒูŠ ู„ู„ู‡ุงุชู ุฎุงู†ูˆู† ุงู„
128
+
129
+ 33
130
+ 00:02:23,620 --> 00:02:29,880
131
+ sigmaุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ summation x minus mu square ุฃูˆ
132
+
133
+ 34
134
+ 00:02:29,880 --> 00:02:33,560
135
+ ูˆุฑู‚ูŠู† under square root. ุงุฐุง ู„ูˆ ุญูƒูŠู†ุง sigma is non
136
+
137
+ 35
138
+ 00:02:33,560 --> 00:02:36,980
139
+ known
140
+
141
+ 36
142
+ 00:02:36,980 --> 00:02:42,300
143
+ ูŠุนู†ูŠ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
144
+
145
+ 37
146
+ 00:02:42,300 --> 00:02:43,280
147
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
148
+
149
+ 38
150
+ 00:02:43,280 --> 00:02:43,300
151
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
152
+
153
+ 39
154
+ 00:02:43,300 --> 00:02:47,220
155
+ ุฃู†ุง ู…ุธุจูˆุท ูŠุง ุนุฒูŠุฒูŠุŒ ู„ูˆ ุงู„ู€ mu ู…ุนุฑูˆูุฉุŒ ูุฃู‚ุฏุฑ ุฃุญุตู„
156
+
157
+ 40
158
+ 00:02:47,220 --> 00:02:53,380
159
+ ุนู„ู‰ ุงู„ sigma. ู„ูƒู† ู„ูˆ ูƒุงู†ุช ุงู„ sigma ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ
160
+
161
+ 41
162
+ 00:02:53,380 --> 00:02:59,840
163
+ ูุงู„ mu ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ู…ุด ู‡ูŠุŸ ุฃู†ุง ูƒู„ ุดุบู„ ุจูŠู‚ุฏุณุŒ
164
+
165
+ 42
166
+ 00:02:59,840 --> 00:03:03,040
167
+ ูุจุงู„ุชุงู„ูŠ ู…ุง ูŠูู‡ุงุด ุชูƒูˆู† ุนู†ุฏูƒ ุงู„ mu ู…ุด ู…ุนุฑูˆูุฉุŒ ูˆ
168
+
169
+ 43
170
+ 00:03:03,040 --> 00:03:06,140
171
+ ุงู„ sigma. ูุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู†ุช ุงู„ mu ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ุฃูƒูŠุฏ
172
+
173
+ 44
174
+ 00:03:06,140 --> 00:03:09,380
175
+ ุงู„ sigma ุบูŠุฑ ู…ุนุฑูˆูุฉ. Is it a real practice,
176
+
177
+ 45
178
+ 00:03:09,480 --> 00:03:14,580
179
+ problemsุŸ ููŠ ุงู„ business situations, is always sigma
180
+
181
+ 46
182
+ 00:03:14,580 --> 00:03:14,900
183
+ is unknown.
184
+
185
+ 47
186
+ 00:03:19,900 --> 00:03:23,160
187
+ ุงู„ู€ ุจุนุฏ ู‡ูˆ ุจูŠุญูƒูŠู„ูƒ if you truly know mu, there
188
+
189
+ 48
190
+ 00:03:23,160 --> 00:03:26,160
191
+ would be no need to gather a sample to estimate it.
192
+
193
+ 49
194
+ 00:03:26,160 --> 00:03:28,640
195
+ ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุฅู† ู„ูˆ ู…ุซู„ุง ููŠ ุงู„ situation ุงู„ู„ูŠ ุนู†ุฏูŠ
196
+
197
+ 50
198
+ 00:03:28,640 --> 00:03:31,380
199
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ muุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ population mean ูƒุงู† ู…ูˆุฌูˆุฏ
200
+
201
+ 51
202
+ 00:03:31,380 --> 00:03:34,720
203
+ ุนู†ุฏู‡ ูู…ุง ููŠุด ุฏุงุนูŠ ุฅู† ุฃู†ุง ุฃุนู…ู„ ุฃุฌูŠุจ sample ุนุดุงู†
204
+
205
+ 52
206
+ 00:03:34,720 --> 00:03:39,040
207
+ ุฃุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample mean ุนุดุงู† ูŠุนู†ูŠ ุฎู„ุงุต ูŠุนู†ูŠ
208
+
209
+ 53
210
+ 00:03:39,040 --> 00:03:41,020
211
+ ุจุชูƒููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ population mean ุฅุฐุง ูƒุงู† ู…ูˆุฌูˆุฏ
212
+
213
+ 54
214
+ 00:03:41,020 --> 00:03:44,440
215
+ ุฎู„ุงุต ุจูŠูƒููŠ ุจูŠุณุชุฎุฏู…ู‡ ู‡ูˆ. ุงู„ู…ูˆุถูˆุน ุงุณู…ุชู‡ ุชุญูƒูŠ ู†ู‚ุทุฉ
216
+
217
+ 55
218
+ 00:03:44,440 --> 00:03:49,050
219
+ ู…ู‡ู…ุฉ. ุฅุฐุง ุงู„ mu ู…ุนุฑูˆูุฉ ู…ู† ุงู„ุฃุตู„ุŒ ุฃูˆ ุงู„ mu is givenุŒ ู…ุง
220
+
221
+ 56
222
+ 00:03:49,050 --> 00:03:52,110
223
+ ูƒู†ุช ุจู€ ูŠุดุฌุน ุฃุนู…ู„ testing ุฅุฐุง ุงู„ hypothesis test ุงู„ู„ูŠ
224
+
225
+ 57
226
+ 00:03:52,110 --> 00:03:57,110
227
+ ุจู†ุนู…ู„. ุงู„ู…ู‡ู… ู‡ูˆ ู„ู…ุง ุชูƒูˆู† ุงู„ mu is unknown. ุทุงู„ู…ุง
228
+
229
+ 58
230
+ 00:03:57,110 --> 00:03:59,670
231
+ ุงู„ mu is unknownุŒ ุฃูƒูŠุฏ ุฃู†ุง ู‡ุนู…ู„ sample. ู„ูƒู† ู„ูˆ ุงู„ mu
232
+
233
+ 59
234
+ 00:03:59,670 --> 00:04:03,230
235
+ is givenุŒ ุจูŠุดุฌุน ุฃุนู…ู„ sample. ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงูุชุฑุถ ูˆุงุญุฏ
236
+
237
+ 60
238
+ 00:04:03,230 --> 00:04:06,930
239
+ ุจูŠุญูƒูŠ ุนู…ุฑ ุทุงู„ุจ ุฌุงู…ุนุฉ ุงุณุชู…ูŠู‡ 22 ุณู†ุฉ. ุนู…ุฑ ุทุงู„ุจ
240
+
241
+ 61
242
+ 00:04:06,930 --> 00:04:09,710
243
+ ุงู„ุฌุงู…ุนุฉ ูƒู„ู‡ุง. ุจูŠุดุฌุน ุฃุฎุฏ sample ุฃูˆ ุฃุนู…ู„ estimation
244
+
245
+ 62
246
+ 00:04:09,710 --> 00:04:13,490
247
+ ุฃูˆ ุฃุนู…ู„ test. ุฅุฐุง if the true mean is given, then
248
+
249
+ 63
250
+ 00:04:13,490 --> 00:04:18,290
251
+ there is no need. ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
252
+
253
+ 64
254
+ 00:04:18,290 --> 00:04:23,690
255
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ู‡ู„ู‚ูŠุช. Okay, ู‡ู„ู‚ูŠุช ุงู„ hypothesis
256
+
257
+ 65
258
+ 00:04:23,690 --> 00:04:26,670
259
+ testing when sigma is unknown. ู‡ู„ู‚ูŠุช ู‡ู†ุงุฎุฏ ุงู„
260
+
261
+ 66
262
+ 00:04:26,670 --> 00:04:29,770
263
+ differences between ุงู„ู„ูŠ ู‡ูˆ ุงู„ case ู„ู…ุง ูŠูƒูˆู† ุงู„
264
+
265
+ 67
266
+ 00:04:29,770 --> 00:04:32,890
267
+ sigma known ูˆ ุงู„ sigma unknown. ุฑูƒุฒูˆุง ู…ุนุงูŠุง. ุฃูˆู„
268
+
269
+ 68
270
+ 00:04:32,890 --> 00:04:35,650
271
+ difference ุจูŠุญูƒูŠู„ูƒ if the population standard
272
+
273
+ 69
274
+ 00:04:35,650 --> 00:04:38,750
275
+ deviation is unknownุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma ูˆู…ุง ูƒุงู†ุช ู…ุด
276
+
277
+ 70
278
+ 00:04:38,750 --> 00:04:41,490
279
+ ู…ุนุฑูˆูุฉุŒ you instead use the sample standard
280
+
281
+ 71
282
+ 00:04:41,490 --> 00:04:44,470
283
+ deviation. ุฃุตู„ุง ูŠุนู†ูŠ ุงุฎุชู„ุงู ุจุณูŠุท. ุจู…ุง ุฃู† ุงู„
284
+
285
+ 72
286
+ 00:04:44,470 --> 00:04:47,050
287
+ population standard deviation ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma ู…ุด
288
+
289
+ 73
290
+ 00:04:47,050 --> 00:04:49,990
291
+ ู…ุนุฑูˆูุฉุŒ ู‡ุณุชุฎุฏู… ุจุฏู„ู‡ุง ู…ูŠู†ุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ SุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„
292
+
293
+ 74
294
+ 00:04:49,990 --> 00:04:53,750
295
+ sample standard deviation. ู‡ุงูŠ ุฃูˆู„ ุงุฎุชู„ุงู. ุชุงู†ูŠ ุฅุดูŠ
296
+
297
+ 75
298
+ 00:04:53,750 --> 00:04:56,890
299
+ because of this exchange, you use the T
300
+
301
+ 76
302
+ 00:04:56,890 --> 00:05:00,290
303
+ distribution instead of useโ€ฆ instead of the Z
304
+
305
+ 77
306
+ 00:05:00,290 --> 00:05:02,630
307
+ distribution to test the null hypothesis about the
308
+
309
+ 78
310
+ 00:05:02,630 --> 00:05:05,730
311
+ mean. ูŠุนู†ูŠ ุจุฏู„ ุงู„ู„ูŠ ุงุญู†ุง ูƒู†ุง ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ Z
312
+
313
+ 79
314
+ 00:05:05,730 --> 00:05:08,950
315
+ distribution ุฃูˆ Z test, ู‡ู„ุฃ ู‡ู†ุณุชุฎุฏู… ุฅุดูŠ ุงุณู…ู‡ T
316
+
317
+ 80
318
+ 00:05:08,950 --> 00:05:12,270
319
+ distribution ุฃูˆ T test. ู‡ู„ุฃ ู‡ู†ุดูˆู ูƒูŠู ูŠุนู†ูŠ ุจูŠูƒูˆู†
320
+
321
+ 81
322
+ 00:05:12,270 --> 00:05:16,500
323
+ ุงู„ุฎุทูˆุงุช. ุชุงู„ุช ุงุฎุชู„ุงู when using the T distribution,
324
+
325
+ 82
326
+ 00:05:16,500 --> 00:05:18,920
327
+ you must assume the population you are sampling
328
+
329
+ 83
330
+ 00:05:18,920 --> 00:05:22,580
331
+ from follows a normal distribution. ูŠุนู†ูŠ ู„ู…ุง ุฃุณุชุฎุฏู…
332
+
333
+ 84
334
+ 00:05:22,580 --> 00:05:25,140
335
+ ุงู„ T test ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏูŠ ููŠู‡ assumption ุฃู†ุง ุฃูุชุฑุถู‡
336
+
337
+ 85
338
+ 00:05:25,140 --> 00:05:28,460
339
+ ุฃูˆ ุญุชู‰ ู…ู† ุงู„ุณุคุงู„ ู‡ูˆ ุจูŠูƒูˆู† ู…ูุชุฑุถ ู„ูƒ ูŠุง ุฅู†ู‡ ุชูƒูˆู† ุงู„
340
+
341
+ 86
342
+ 00:05:28,460 --> 00:05:31,180
343
+ population follows normal distributionุŒ ุชูˆุฒูŠุน ุทุจูŠุนูŠ
344
+
345
+ 87
346
+ 00:05:31,180 --> 00:05:33,860
347
+ ุงู„ population. ูˆุจุนุฏูŠู† ุจูŠุญูƒูŠู„ูƒ all other steps,
348
+
349
+ 88
350
+ 00:05:33,860 --> 00:05:37,180
351
+ concepts, and conclusions are the same. ุจุงู‚ูŠ ุงู„ุฎุทูˆุงุช
352
+
353
+ 89
354
+ 00:05:37,180 --> 00:05:42,490
355
+ as we took when sigma is known. ูŠุนู†ูŠ ู†ูุณ ุงู„ุฎุทูˆุงุช ุจุณ
356
+
357
+ 90
358
+ 00:05:42,490 --> 00:05:46,610
359
+ basically ู†ุญูƒูŠ ู„ูˆ ุชูƒูˆู† sigma is not given ู‡ูŠ ุงู†ุช
360
+
361
+ 91
362
+ 00:05:46,610 --> 00:05:50,510
363
+ ู‡ุชู„ุงู‚ูŠ ุดุบู„ุชูŠู†. ุฑู‚ู… ูˆุงุญุฏ ุจูŠ replace sigma which is
364
+
365
+ 92
366
+ 00:05:50,510 --> 00:05:54,760
367
+ unknown by S. ุฅุฐุง ู†ุดูŠู„ sigma ูˆู†ุทู„ุน ุงู„ู€ โ€ฆ ุงู„
368
+
369
+ 93
370
+ 00:05:54,760 --> 00:05:57,180
371
+ simplicity ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ ุงู„ sample standard
372
+
373
+ 94
374
+ 00:05:57,180 --> 00:06:01,080
375
+ deviation. ู‡ุฐุง ุฑู‚ู… ูˆุงุญุฏ. ุฑู‚ู… ุงุซู†ูŠู† ุจุฏู„ ู…ุง ูƒู†ุง ู†ุณุชุฎุฏู…
376
+
377
+ 95
378
+ 00:06:01,080 --> 00:06:05,180
379
+ z for distribution ููŠ ุนู†ุฏู†ุง new test called T
380
+
381
+ 96
382
+ 00:06:05,180 --> 00:06:08,080
383
+ distribution. ุฅุฐุง ุงุญู†ุง ู†ุณุชุฎุฏู… T ูˆู‡ูˆุฑูŠูƒูˆุง ุจุนุฏ ุดูˆูŠุฉ
384
+
385
+ 97
386
+ 00:06:08,080 --> 00:06:10,720
387
+ table ุชุจุน ุงู„ T ูˆ how can we compute the critical
388
+
389
+ 98
390
+ 00:06:10,720 --> 00:06:14,060
391
+ values using T distribution. ุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ ู…ู‡ู…ุฉ
392
+
393
+ 99
394
+ 00:06:14,060 --> 00:06:17,280
395
+ ุฌุฏุง ุงู†ู‡ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ normal assumption
396
+
397
+ 100
398
+ 00:06:17,280 --> 00:06:20,460
399
+ satisfied. ูŠุนู†ูŠ ูุฑุถูŠุฉ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุชูƒูˆู† ู…ุง ู„ู‡ุง
400
+
401
+ 101
402
+ 00:06:20,460 --> 00:06:24,440
403
+ is okay. ุฃูŠ ุญุงุฌุฉ ุชุงู†ูŠุฉ ุงู„ steps ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู…
404
+
405
+ 102
406
+ 00:06:24,440 --> 00:06:28,260
407
+ still the same. ุชุจุชุฏูˆุง ู†ูุณ ุงู„ุดูŠุก ุณูˆุงุก ู…ู† ู†ุงุญูŠุฉ ุงู„
408
+
409
+ 103
410
+ 00:06:28,260 --> 00:06:33,120
411
+ concepts ุฃูˆ ุงู„ conclusions are still the same. Any
412
+
413
+ 104
414
+ 00:06:33,120 --> 00:06:39,040
415
+ questions? ู‡ุฐุง ู…ู‚ุฏู…ุฉ ู„ู…ูˆุถูˆุน ุงู„ sigma is unknown.
416
+
417
+ 105
418
+ 00:06:43,750 --> 00:06:46,370
419
+ Okay. ู‡ู„ุฃ ุฅุฐุง ุจุญูƒูŠู„ูƒ ุงู„ุขู† ุจู†ุดูˆู ุงู„ู„ูŠ ู‡ูŠ ุฎุทูˆุงุช ุงู„
420
+
421
+ 106
422
+ 00:06:46,370 --> 00:06:49,390
423
+ test. ุฃูˆู„ ุฅูŠุด ุจูŠุญูƒูŠู„ูƒุŸ Test of hypothesis for the
424
+
425
+ 107
426
+ 00:06:49,390 --> 00:06:52,670
427
+ mean when sigma is unknown. ุฅูŠุด ุจุฏู†ุง ู†ุญูˆู„ ุงู„ู„ูŠ ู‡ูˆ
428
+
429
+ 108
430
+ 00:06:52,670 --> 00:06:56,710
431
+ convert sample statistic x bar to a t state. ูŠุนู†ูŠ
432
+
433
+ 109
434
+ 00:06:56,710 --> 00:07:03,350
435
+ ู‡ู†ุงูƒ ูƒู†ุง ู†ุญูˆู„ ู„ z state, ุชูŠ statistic. Okay, ุงู„ู„ูŠ ู‡ูˆ
436
+
437
+ 110
438
+ 00:07:03,350 --> 00:07:08,890
439
+ ู‡ู†ุดูˆู ุงูŠุด ุงู„ู‚ุงู†ูˆู† ุงู„ t state ุฃูˆ statistic equal ุงู„
440
+
441
+ 111
442
+ 00:07:08,890 --> 00:07:17,210
443
+ x bar - mu divided by S over square root of N. ุฒูŠ ู…ุง
444
+
445
+ 112
446
+ 00:07:17,210 --> 00:07:20,170
447
+ ุงุญู†ุง ุดุงูŠููŠู† ุจุดุจู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ Z statistic ุจุณ ุงู„
448
+
449
+ 113
450
+ 00:07:20,170 --> 00:07:23,330
451
+ difference ุงู„ูˆุญูŠุฏ ุงุญู†ุง ุญูƒูŠู†ุง ุจุฏู„ ุงู„ุณูŠุฌู…ุง ุงู„ู„ูŠ ู‡ูŠ
452
+
453
+ 114
454
+ 00:07:23,330 --> 00:07:26,350
455
+ population standard deviation ุฑุงุญ ู†ุณุชุจุฏู„ู‡ุง ุจ S
456
+
457
+ 115
458
+ 00:07:26,350 --> 00:07:29,350
459
+ ุจุงู„ู€ S ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณู… ุจุงู„ standard deviation ุจุณ ูˆู‡ูŠ
460
+
461
+ 116
462
+ 00:07:29,350 --> 00:07:33,730
463
+ ู‡ู†ุง ุญุทุช ู„ูƒ ุงู„ู…ุฎุทุท. Hypothesis test test for the mean
464
+
465
+ 117
466
+ 00:07:33,730 --> 00:07:37,810
467
+ sigma known, Z test. ุฃู…ุง sigma unknown ู‡ู†ุณุชุฎุฏู… ุงู„ T
468
+
469
+ 118
470
+ 00:07:37,810 --> 00:07:41,990
471
+ test. The test statistic is a T statistic equal ู‡ูŠูˆ
472
+
473
+ 119
474
+ 00:07:41,990 --> 00:07:46,310
475
+ X bar minus ุงู„ู€ mu divided by S over square root of
476
+
477
+ 120
478
+ 00:07:46,310 --> 00:07:54,840
479
+ N. ุจุณ ุงู„ู„ูŠ ุจุนุฏ ู‡ู‡ุŸ ู‡ู„ุฃ ู‡ู†ุงุฎุฏ example. ุฑูƒุฒูˆุง ู…ุนุงู‡ ู„ุฅู†ู‡
480
+
481
+ 121
482
+ 00:07:54,840 --> 00:07:58,480
483
+ ููŠ ุงุดูŠุงุก ุฌุฏูŠุฏุฉ ู‡ู†ุชุนุฑู ุนู„ูŠู‡ุง ูู†ู‚ุฑุฃ ู…ุน ุจุนุถ ุงู„
484
+
485
+ 122
486
+ 00:07:58,480 --> 00:08:04,220
487
+ example. ุฎู„ู†ุง ุงู„ example ูˆุงุญุฏุฉ ู…ู†ูƒู… ุชู‚ุฑุฃู‡ ูˆูˆุงุญุฏุฉ
488
+
489
+ 123
490
+ 00:08:04,220 --> 00:08:08,780
491
+ ุชุทู„ุน ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ู„ูŠ ููŠู‡. ุฎู„ู†ุง ู…ุดุงุฑูƒุฉ ู…ู†ูƒู…. ุชุนุงู„ ู‡ู†ุง.
492
+
493
+ 124
494
+ 00:08:10,100 --> 00:08:13,120
495
+ The average cost of a hotel room in New York is
496
+
497
+ 125
498
+ 00:08:13,120 --> 00:08:19,760
499
+ said to be $168 per night. To determine if this is
500
+
501
+ 126
502
+ 00:08:19,760 --> 00:08:25,550
503
+ true, a random sample of 25 hotels taken and
504
+
505
+ 127
506
+ 00:08:25,550 --> 00:08:38,050
507
+ resulted in an x-bar of $172.50 and an s of $15.40. ุงู„
508
+
509
+ 128
510
+ 00:08:38,050 --> 00:08:42,370
511
+ standard sample standard deviation 15. This is the
512
+
513
+ 129
514
+ 00:08:42,370 --> 00:08:50,130
515
+ appropriate hypothesis at alpha 0.05. ุทู„ุน ุฒู…ูŠู„ุชูƒ
516
+
517
+ 130
518
+ 00:08:50,130 --> 00:08:54,780
519
+ ุญูƒุช ููŠ ุดุบู„ุชูŠู† ู…ู‡ู…ุงุช ููŠ ุงู„ example. ุจุชุญูƒูŠ ุงู„ average
520
+
521
+ 131
522
+ 00:08:54,780 --> 00:09:00,360
523
+ cost of a hotel room is said to be $168. ุงู„ู€ 168
524
+
525
+ 132
526
+ 00:09:00,360 --> 00:09:06,740
527
+ sample mean ูˆู„ุง ุงู„ population meanุŸ ุงู„ู€ 168 ู‡ูˆ ุจูŠุญูƒูŠุด
528
+
529
+ 133
530
+ 00:09:06,740 --> 00:09:09,640
531
+ ุงู„ average cost of a hotel room in New York ุจู„ุฏ
532
+
533
+ 134
534
+ 00:09:09,640 --> 00:09:18,400
535
+ ูƒู„ู‡ุง population. ุฅุฐุง ุงู„ 168 ู‡ูŠ mu. ุฅุฐุง ุงู„ mu 168. ู‡ุฐุง
536
+
537
+ 135
538
+ 00:09:18,400 --> 00:09:27,240
539
+ ู†ู‚ุทุฉ ู…ู‡ู…ุฉ. ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ ุจุชุฃูƒุฏ ุฅุฐุง ูƒุงู† ู‡ุฐุง ุตุญูŠุญุŒ ุจุฏูŠ
540
+
541
+ 136
542
+ 00:09:27,240 --> 00:09:35,400
543
+ ุฃุญุฏุซ ูƒู„ู…ุฉ ุตุญูŠุญุฉ ูˆู„ุง ู„ุฃุŸ ุฎู…ุณูŠู† ูˆุนุดุฑูŠู† ุฎู…ุณูŠู† ูˆุนุดุฑูŠู†
544
+
545
+ 137
546
+ 00:09:37,930 --> 00:09:45,350
547
+ ุฅู† โ€ฆ ุงูŠู‡ ู‡ุฐู‡ุŸ x-bar. ุตู„ุญูˆู‡ุงุŒ ู…ุด X. x-bar of $172.5
548
+
549
+ 138
550
+ 00:09:45,350 --> 00:09:50,150
551
+ ูŠุนุทู‰ x-bar. Average ู…ูŠู† ุงู„ู„ูŠ ูŠุนุทูŠ ุงู„ average ู„ู€ 25
552
+
553
+ 139
554
+ 00:09:50,150 --> 00:09:54,450
555
+ ุงู„ู€ 25 sample. ู…ุธุจูˆุทุŸ ูู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุงู„ sample mean ูˆู„ุง
556
+
557
+ 140
558
+ 00:09:54,450 --> 00:09:58,010
559
+ ุงู„ population meanุŸ ุงู„ sample. ุทุงู„ู…ุง ุญูƒูŠุช random
560
+
561
+ 141
562
+ 00:09:58,010 --> 00:10:02,730
563
+ sample ู„ู€ 25 resulted in. ู…ุน ูƒุฏู‡ ุนู†ุฏ ุงู„ sample mean
564
+
565
+ 142
566
+ 00:10:02,730 --> 00:10:06,390
567
+ ุฅุฐุง ุงู„ x-bar equal 172.5
568
+
569
+ 143
570
+ 00:10:12,650 --> 00:10:20,150
571
+ ูˆ S 15.4. ู‡ุฐุง ุงู„ S ู„ู„ samples standard deviation ูˆ
572
+
573
+ 144
574
+ 00:10:20,150 --> 00:10:27,090
575
+ ุงู„ S 15.4. ุทุงู„ุนุด ุจูŠุณุฃู„ ุงู„ test the appropriate
576
+
577
+ 145
578
+ 00:10:27,090 --> 00:10:32,280
579
+ hypothesis. ุจุฏูˆุง ุงู„ hypothesis ุงู„ู…ู†ุงุณุจุฉ. ู‡ูˆ ุงูŠุด โ€ฆ
580
+
581
+ 146
582
+ 00:10:32,280 --> 00:10:36,180
583
+ ุงูŠุด ุงู„ู„ูŠ ุงุนุทุงู†ูŠ ุงู† ุงู„ average overall 168? We are
584
+
585
+ 147
586
+ 00:10:36,180 --> 00:10:39,500
587
+ testing this average, this null hypothesis against
588
+
589
+ 148
590
+ 00:10:39,500 --> 00:10:43,260
591
+ do you think mu should be โ€ฆ does not equal to or
592
+
593
+ 149
594
+ 00:10:43,260 --> 00:10:46,220
595
+ greater than or smaller thanุŸ ุงู„ู„ูŠ ู…ูŠุญูƒู…ูˆุง ุงู„ู„ูŠ
596
+
597
+ 150
598
+ 00:10:46,220 --> 00:10:50,710
599
+ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ู‡ู„ ุญูƒู‰ ููŠ ุงู„ู…ุซู„ุฉ direction ู…ุนูŠู†ุŸ ู„ุฃ
600
+
601
+ 151
602
+ 00:10:50,710 --> 00:10:54,390
603
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
604
+
605
+ 152
606
+ 00:10:54,390 --> 00:10:55,550
607
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
608
+
609
+ 153
610
+ 00:10:55,550 --> 00:10:59,170
611
+ ู„ุฃ ู„ุฃ
612
+
613
+ 154
614
+ 00:10:59,170 --> 00:10:59,350
615
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
616
+
617
+ 155
618
+ 00:10:59,350 --> 00:11:08,530
619
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
620
+
621
+ 156
622
+ 00:11:08,530 --> 00:11:12,830
623
+ ู„ุฃ
624
+
625
+ 157
626
+ 00:11:19,730 --> 00:11:23,670
627
+ ุงู„ุขู† ู‡ุชุทู„ุนู†ุง ุงู„ information ุงู„ู„ูŠ ู„ุงุฒู…ุฉ ู…ู† ุงู„ู…ุซู„ุฉุŒ
628
+
629
+ 158
630
+ 00:11:23,670 --> 00:11:30,200
631
+ ู…ุงุดูŠูŠู†ุŸ ุจุจุฏุฃ ุฃูƒู…ู„ุŸ ุฃูƒู…ู„ ุฃู†ุงุŸ ุจู…ุง ุฃู† ูƒุชุจู†ุง ุงุญู†ุง ุงู„ู„ูŠ
632
+
633
+ 159
634
+ 00:11:30,200 --> 00:11:32,680
635
+ ู‡ูŠ null hypothesis ูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ alternative
636
+
637
+ 160
638
+ 00:11:32,680 --> 00:11:37,160
639
+ hypothesisุŒ ุงู„ู„ูŠ ู‡ูˆ ุฅู† ุงู„ mu equal 168 ูˆุฅู† ุงู„
640
+
641
+ 161
642
+ 00:11:37,160 --> 00:11:42,260
643
+ alternative hypothesis ุฅู† ุงู„ mu not equal 168. ุฃูˆู„
644
+
645
+ 162
646
+ 00:11:42,260 --> 00:11:44,940
647
+ ุดุบู„ ุจู†ุทู„ุน ููŠู‡ุง ุจุงู„ุณุคุงู„ุŒ ุฒูŠ ู…ุง ูƒู†ุง ู…ุงุฎุฏูŠู†ู‡ ู‚ุจู„ ูƒุฏู‡ุŒ ุจู†ุดูˆู
648
+
649
+ 163
650
+ 00:11:44,940 --> 00:11:48,500
651
+ ุฅุฐุง ุงู„ sigma known ูˆู„ุง unknown. ุทุจุนุง ุนู†ุฏูƒ ุงู„ุณุคุงู„ ุงุญู†ุง
652
+
653
+ 164
654
+ 00:11:48,500 --> 00:11:51,180
655
+ ูƒุชุจู†ุง ูƒู„ ุงู„ู…ุนุทูŠุงุชุŒ ู…ุนุทูŠู†ูŠ ุงู„ sample standard
656
+
657
+ 165
658
+ 00:11:51,180 --> 00:11:54,960
659
+ deviation ุฃู…ุง ุงู„ sigma ู…ุด ู…ุนุฑูˆูุฉ. So ุจู†ุญูƒูŠ ุฅู†ู‡ โ€ฆ
660
+
661
+ 166
662
+ 00:11:54,960 --> 00:12:02,830
663
+ so ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma is unknown. So
664
+
665
+ 167
666
+ 00:12:02,830 --> 00:12:11,770
667
+ we will use โ€ฆ ุฅูŠุด ู‡ู†ุณุชุฎุฏู…ุŸ T test โ€ฆ T test. ูˆุจู…ุง
668
+
669
+ 168
670
+ 00:12:11,770 --> 00:12:14,350
671
+ ุฃู†ู†ุง ู‡ู†ุณุชุฎุฏู… ุงู„ T test ูˆู‡ูˆ ูƒุชุจ ู„ู‡ you assume the
672
+
673
+ 169
674
+ 00:12:14,350 --> 00:12:16,930
675
+ population distribution is normal. ุงุญู†ุง ุญูƒูŠู†ุง ุฅู†ู‡
676
+
677
+ 170
678
+ 00:12:16,930 --> 00:12:19,770
679
+ ุนุดุงู† ู†ุณุชุฎุฏู… ุงู„ T test ู„ุงุฒู… ู†ูุชุฑุถ ุฅู†ู‡ ุงู„ population
680
+
681
+ 171
682
+ 00:12:19,770 --> 00:12:22,830
683
+ follows normal distribution. ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ.
684
+
685
+ 172
686
+ 00:12:22,830 --> 00:12:27,010
687
+ ุทุจุนุง ููŠ ุงู„ T test ุจุฏู†ุง ู†ุฌูŠุจ ุฅุดูŠ ุงุณู…ู‡ T statistic
688
+
689
+ 173
690
+ 00:12:27,010 --> 00:12:30,210
691
+ ุงู„ู„ูŠ ู‚ุจู„ ุดูˆูŠุฉ ูƒุชุจู†ุง ู‚ุงู†ูˆู†ู‡ ู‡ูŠู‡ุง. ุฃูˆู„ ุฅุดูŠ ุจู†ุฌูŠุจ ุงู„ T
692
+
693
+ 174
694
+ 00:12:30,210 --> 00:12:30,950
695
+ statistic.
696
+
697
+ 175
698
+ 00:12:35,440 --> 00:12:39,980
699
+ divided by ุงู„ S ุนู„ู‰ a square root of n. ูˆู‡ูŠ
700
+
701
+ 176
702
+ 00:12:39,980 --> 00:12:47,200
703
+ ุงู„ู…ูˆุถูˆุนุงุช ุทู„ุนู†ุงู‡ู… ุฏุบุฑูŠ. ู…ูˆ ุจุจู‚ู‰ ุดุจูƒุฉ. Minus ุงู„ู„ูŠ ู‡ูˆ
704
+
705
+ 177
706
+ 00:12:47,200 --> 00:12:50,920
707
+ 168 divided by ุงู„ S ุงู„ู„ูŠ ู‡ูŠ
708
+
709
+ 178
710
+ 00:12:50,920 --> 00:12:55,980
711
+ sample standard deviation 15.4 ุนู„ู‰
712
+
713
+ 179
714
+ 00:12:55,980 --> 00:13:00,280
715
+ ุงู„ู„ูŠ ู‡ูˆ a square root of n 25. ุจูŠุทู„ุน ุนู†ุฏูŠ
716
+
717
+ 180
718
+ 00:13:00,280 --> 00:13:07,530
719
+ ุงู„ T statistic 1.46. ุงู„ุญู…ุฏ ู„ู„ู‡ ุงู‡ูˆ
720
+
721
+ 181
722
+ 00:13:07,530 --> 00:13:11,170
723
+ ู‡ู„ุงู‚ูŠุชู‡ุง ุจุนุฏ ู…ุง ุฌุจู†ุง ุงู„ T statistic ุจุฏู†ุง ู†ุฌ
724
+
725
+ 216
726
+ 00:15:50,230 --> 00:15:53,950
727
+ ุฃู†ุชูˆุง ุดุงูŠููŠู† ููŠ ุนู†ุฏู‡ู… T-table hands ุฅูŠุด ุงุณู…ู‡ุŸ ุงู„ู„ูŠ
728
+
729
+ 217
730
+ 00:15:53,950 --> 00:16:02,070
731
+ ู‡ูˆ DF ุตุญุŸ ู‡ุฐุง ุงู„ู€ DF is equal DF ู‡ูŠ degree of
732
+
733
+ 218
734
+ 00:16:02,070 --> 00:16:07,400
735
+ freedom ุงู„ู„ูŠ ู‡ูŠ ุจุงู„ุนุฑุจูŠ ุฏุฑุฌุฉ ุงู„ุญุฑูŠุฉ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ
736
+
737
+ 219
738
+ 00:16:07,400 --> 00:16:10,900
739
+ ู‚ุงู†ูˆู† ุซุงุจุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ N ู†ู‚ุต ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ sample
740
+
741
+ 220
742
+ 00:16:10,900 --> 00:16:15,300
743
+ size minus one okay ุจู†ุฌูŠุจ ุงู„ุฏู‚ูŠู‚ุฉ ูุฃูˆู„ ุฅุดูŠ ุทุจุนุง
744
+
745
+ 221
746
+ 00:16:15,300 --> 00:16:22,320
747
+ ู„ุฅู†ู†ุง ุงู„ู€ N ู‚ุฏุงุด 25 minus one ู‚ุฏุด ุจุทู„ุน 24 ู‡ู„ุฃ ูˆุงุญู†ุง
748
+
749
+ 222
750
+ 00:16:22,320 --> 00:16:26,600
751
+ ุจู†ุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุนู†ุฏูŠ ุฃู†ุง two sides okay ู‡ู„ุฃ ู„ูˆ ุทู„ุนู†ุง
752
+
753
+ 223
754
+ 00:16:26,600 --> 00:16:30,680
755
+ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุจูŠุญูƒูŠ ู„ูŠ ู…ุนุทู„ูƒ ุฅู†ู‡ table entry for B and
756
+
757
+ 224
758
+ 00:16:30,680 --> 00:16:35,020
759
+ C is the critical value T star with probability B
760
+
761
+ 225
762
+ 00:16:35,020 --> 00:16:38,460
763
+ lying to its right and probability C lying between
764
+
765
+ 226
766
+ 00:16:38,460 --> 00:16:43,880
767
+ minus T star and T star ู…ุนุทู„ูƒูŠ ุงู„ุฌุฏูˆู„ ุฅู† ุฃูˆู„ ุดูŠ
768
+
769
+ 227
770
+ 00:16:43,880 --> 00:16:47,380
771
+ ู‡ูŠู† ุงู„ู€ DF ุงู„ู„ูŠ ุงุญู†ุง ุญุณุจู†ุงู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ N minus one
772
+
773
+ 228
774
+ 00:16:47,380 --> 00:16:50,740
775
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชุฌูŠุจูŠ ู„ูŠู‡ุง ุงู„ู€ DF N minus one ูˆ ุจูŠุญูƒูŠู„ูƒ
776
+
777
+ 229
778
+ 00:16:50,740 --> 00:16:54,240
779
+ ุฅู…ุง ุจุชุฑูˆุญูŠ ุชุณุชุฎุฏู…ูŠ ุงู„ู€ .. ุงู„ู€ upper tail probability
780
+
781
+ 230
782
+ 00:16:54,240 --> 00:16:59,140
783
+ ุงู„ู€ B ู‡ุฐูŠูƒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู€ B ุฃูˆ ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
784
+
785
+ 231
786
+ 00:16:59,140 --> 00:17:02,140
787
+ ุงุญุชูŠุงุท ุฃูˆ ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ ู…ูˆุฌุฉ ุจุณุงู„ุจ T ุฒูŠ ู…ุง ุงุญู†ุง
788
+
789
+ 232
790
+ 00:17:02,140 --> 00:17:05,100
791
+ ุนู†ุฏู†ุง ู…ูˆุฌุฉ ุจุณุงู„ุจ T ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ hand
792
+
793
+ 233
794
+ 00:17:05,100 --> 00:17:08,600
795
+ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ hand ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุจุฃุฎุฑ ุงู„ุฌุฏูˆู„ ุชุญุช
796
+
797
+ 234
798
+ 00:17:08,600 --> 00:17:13,340
799
+ ู…ู…ุชุงุฒ ุงู„ุขู† ุฒู…ูŠู„ุชูŠ ูƒุงู†ุช ุญุงูƒูŠุฉ ูƒุงู†ุช ุชุงู„ูŠุฉ ุงู„ู€ table
800
+
801
+ 235
802
+ 00:17:13,340 --> 00:17:17,400
803
+ ุงู„ู„ูŠ ุนู†ุฏูŠ ุงุณู…ู‡ T table ูˆุจูŠุนุทูŠ ุงู„ู€ area to the right
804
+
805
+ 236
806
+ 00:17:17,400 --> 00:17:21,340
807
+ ุดุงูŠูุฉ ุงู„ุตูุฑุงุก ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ู†ุง ู‡ุฐู‡ ุงู„ู€ area to the right
808
+
809
+ 237
810
+ 00:17:21,340 --> 00:17:26,200
811
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู€ Z table ูƒุงู† ูŠุนุทูŠ ุงู„ู€ area ู„ูˆูŠู†
812
+
813
+ 238
814
+ 00:17:26,200 --> 00:17:29,640
815
+ to the left ุงู„ู€ T table to the right ุฅุฐุง ู†ู†ุณู‰ ุงู„ุขู†
816
+
817
+ 239
818
+ 00:17:29,640 --> 00:17:33,520
819
+ ุงู„ู€ Z ุงู„ู€ Z area to the left ุงู„ู€ T table ุงู„ู€ area to
820
+
821
+ 240
822
+ 00:17:33,520 --> 00:17:38,620
823
+ the right ุงู„ู€ rows represent degrees of freedom
824
+
825
+ 241
826
+ 00:17:38,620 --> 00:17:42,770
827
+ ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉ ุฒูŠ ู…ุง ุญูƒุช degrees of freedom equals n
828
+
829
+ 242
830
+ 00:17:42,770 --> 00:17:45,750
831
+ minus one in this case we have sample size of
832
+
833
+ 243
834
+ 00:17:45,750 --> 00:17:48,350
835
+ twenty five so degrees of freedom of twenty five
836
+
837
+ 244
838
+ 00:17:48,350 --> 00:17:52,990
839
+ minus one which is twenty four so now two steps
840
+
841
+ 245
842
+ 00:17:52,990 --> 00:17:59,850
843
+ just locate the row of twenty four because degrees
844
+
845
+ 246
846
+ 00:17:59,850 --> 00:18:04,870
847
+ of freedom of twenty four and column of this
848
+
849
+ 247
850
+ 00:18:04,870 --> 00:18:06,830
851
+ probability which is point zero two five
852
+
853
+ 248
854
+ 00:18:10,190 --> 00:18:16,050
855
+ ุงู„ู€ degrees of freedom ุจุนู…ู„ู‡ across ู…ุน ู…ูŠู† ู…ุน ุงู„ู€
856
+
857
+ 249
858
+ 00:18:16,050 --> 00:18:19,210
859
+ probability which is point zero to five ุงุนู…ู„
860
+
861
+ 250
862
+ 00:18:19,210 --> 00:18:25,630
863
+ across ุงู„ู„ูŠ ู‡ูˆู† ุจุทู„ุน ุงู„ุฌูˆุงุจ ุจุทู„ุน ุงู„ุฌูˆุงุจ ู‡ุงูŠ ุงู„ู„ูŠ
864
+
865
+ 251
866
+ 00:18:25,630 --> 00:18:32,010
867
+ ู‡ูˆ two point zero two zero six four ุฅุฐุง
868
+
869
+ 252
870
+ 00:18:32,010 --> 00:18:37,110
871
+ ุงู„ุฌูˆุงุจ ุทู„ุน two point zero six four ุทุจุนุง
872
+
873
+ 253
874
+ 00:18:37,110 --> 00:18:43,830
875
+ ุนู†ุฏูŠ ู…ูˆุฌุจ ุณุงู„ุจ Tู„ู…ูŠู† ุงู„ู€ DF 24 ูˆุงู„ู€ probability
876
+
877
+ 254
878
+ 00:18:43,830 --> 00:18:48,630
879
+ ูƒุงู†ุช 0.025 ู‚ูŠู…ุชู‡ุง ุทุจุนุง ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ุจุณ ู‡ู… ู†ูุณ ุงู„ู‚ูŠู…ุฉ
880
+
881
+ 255
882
+ 00:18:48,630 --> 00:18:51,870
883
+ ู‡ุชูƒูˆู† ู„ุฅู†ู‡ normal distribution ุจุณ ูˆุงุญุฏุฉ ุจุงู„ู€
884
+
885
+ 256
886
+ 00:18:51,870 --> 00:18:59,190
887
+ negative ูˆูˆุงุญุฏุฉ ุจุงู„ู€ positive ู…ูˆุฌุฉ ุจุงู„ุณุงู„ุจ 2.064
888
+
889
+ 257
890
+ 00:18:59,190 --> 00:19:05,690
891
+ 6 4 ุตุญุŸ ู„ุฃ ู„ุฃ ุฃู‚ู„ 2 ุตุญูŠุญ ุจุณ ู‡ูŠูƒ ุตุญ ูŠุนู†ูŠ ุจุณ ุญุท ุงู„ู€
892
+
893
+ 258
894
+ 00:19:05,690 --> 00:19:12,120
895
+ point ูˆุงุถุญ ู„ุฃู† ุงู„ุฃูˆู„ู‰ two point zero six four ูˆุงู„ู€
896
+
897
+ 259
898
+ 00:19:12,120 --> 00:19:19,200
899
+ ุชุงู†ูŠุฉ ุฒูŠู‡ุง negative two point zero six four ู‡ุฏูˆู„
900
+
901
+ 260
902
+ 00:19:19,200 --> 00:19:23,560
903
+ ู‡ู… ุนู†ุฏูŠ ุทุจุนุง ู‡ุงูŠ ุงู„ู…ูˆุฌุฉ ุจุณุงู„ุจ ุงุชู†ูŠู† point zero six
904
+
905
+ 261
906
+ 00:19:23,560 --> 00:19:34,420
907
+ four ู‡ู… ุฅูŠุด ุงู„ู€ critical values ู‡ุฏูˆู„ ู‡ูŠ
908
+
909
+ 262
910
+ 00:19:34,420 --> 00:19:38,040
911
+ ูƒู„ ุฃูŠ ุนุตุฑู‡ู„ุฃ ุนู†ุฏ .. ุจู†ุฑุฌุน ู„ู„ูŠ ุฌูŠุจู†ุง .. ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
912
+
913
+ 263
914
+ 00:19:38,040 --> 00:19:40,860
915
+ T statistic ุงู„ู„ูŠ ุฅุญู†ุง ุฌูŠุจู†ุงู‡ุง ู‡ูŠ one point four
916
+
917
+ 264
918
+ 00:19:40,860 --> 00:19:44,100
919
+ six ุจู†ุดูˆู ุฅุฐุง ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุจู€ rejection region ูˆู„ุง ุจุงู„ู€
920
+
921
+ 265
922
+ 00:19:44,100 --> 00:19:46,440
923
+ non rejection region ุญุณุจ ู…ูŠู†ุŸ ุญุณุจ ุงู„ู€ critical
924
+
925
+ 266
926
+ 00:19:46,440 --> 00:19:50,160
927
+ values ูˆูŠู† ู…ูˆุฌูˆุฏุฉุŸ ุงู„ู„ูŠ ู‡ูŠ one point four six ูˆูŠู†
928
+
929
+ 267
930
+ 00:19:50,160 --> 00:19:52,260
931
+ ู‡ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉุŸ ููŠ rejection .. ููŠ rejection region
932
+
933
+ 268
934
+ 00:19:52,260 --> 00:19:54,860
935
+ ูˆู„ุง non rejection regionุŸ non .. non rejection
936
+
937
+ 269
938
+ 00:19:54,860 --> 00:20:00,060
939
+ region ู„ุฃู†ู‡ุง ู‡ุชูƒูˆู† ู‡ุฐู‡ ุชู‚ุฑูŠุจุง one point four six
940
+
941
+ 270
942
+ 00:20:00,060 --> 00:20:04,180
943
+ ู‡ุชูƒูˆู† ููŠ ุงู„ู€ non rejection region ูุจู…ุง ุฅู†ู‡ ู‡ูŠ ููŠ ุงู„ู€
944
+
945
+ 271
946
+ 00:20:04,180 --> 00:20:08,140
947
+ non rejection region so we will ash don't reject
948
+
949
+ 272
950
+ 00:20:08,140 --> 00:20:12,880
951
+ ุงู„ู„ูŠ ู‡ูˆ ash ุงู„ู€ null hypothesis ุจู†ุญูƒูŠ
952
+
953
+ 273
954
+ 00:20:12,880 --> 00:20:16,020
955
+ ู‡ุฐู‡ ุนู†ุฏ ุงู„ู„ูŠ ุจูŠุฃุชูŠ stat
956
+
957
+ 274
958
+ 00:20:19,750 --> 00:20:25,610
959
+ one less than ุงู„ู„ูŠ ู‡ูˆ two point between them is
960
+
961
+ 275
962
+ 00:20:25,610 --> 00:20:35,870
963
+ six part so four point major
964
+
965
+ 276
966
+ 00:20:35,870 --> 00:20:35,990
967
+ point
968
+
969
+ 277
970
+ 00:20:39,670 --> 00:20:43,890
971
+ ูˆุจู…ุง ุฅู†ู‡ ุงู„ู€ .. ุฃู…ุง ู„ู…ุง ู†ูŠุฌูŠ ู†ุนู…ู„ proof ู„ู„ู€ .. ุงู„ู€
972
+
973
+ 278
974
+ 00:20:43,890 --> 00:20:46,590
975
+ alternative hypothesis ู‡ู†ุญูƒูŠ ุฅู†ู‡ there is .. ุงู„ู„ูŠ
976
+
977
+ 279
978
+ 00:20:46,590 --> 00:20:50,450
979
+ ู‡ูˆ insufficient evidence that the true .. the true
980
+
981
+ 280
982
+ 00:20:50,450 --> 00:20:54,510
983
+ mean is different .. different from the given mean
984
+
985
+ 281
986
+ 00:20:54,510 --> 00:21:00,050
987
+ ุงู„ู„ูŠ ู‡ูˆ 168 ู…ู…ุชุงุฒุฉ ุทู„ุน ุฒู…ูŠู„ุชูƒ ุงู„ู„ูŠ ุนู…ู„ุชู‡ ุงู„ุดุบู„ุชูŠู†
988
+
989
+ 282
990
+ 00:21:00,050 --> 00:21:05,120
991
+ ูˆุฑุง ุจุนุถ ุฑู‚ู… ูˆุงุญุฏ ุญุณุจุช ุงู„ู€ T statistic one point four
992
+
993
+ 283
994
+ 00:21:05,120 --> 00:21:12,360
995
+ six ุญุณุจุช ุงู„ู€ critical values ู…ู† ุงู„ู€ T table ูˆุงู„ู€ T
996
+
997
+ 284
998
+ 00:21:12,360 --> 00:21:16,780
999
+ table ุงุณุชุฎุฏุงู…ู‡ ุณู‡ู„ ูˆูˆุฑุฏูƒูŠ ูŠุง ุจู† ุดูˆูŠุฉ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ
1000
+
1001
+ 285
1002
+ 00:21:16,780 --> 00:21:21,120
1003
+ ู‡ูˆ ุฅูŠู‡ ุงู„ู€ T table ููŠ ุงู„ู€ T table ุฒูŠ ู…ุง ุญูƒูŠุช ู…ุฑุฉ
1004
+
1005
+ 286
1006
+ 00:21:21,120 --> 00:21:25,160
1007
+ ุชุงู†ูŠุฉ ุจุฑุทู„ุน degrees of freedom at one four ูˆุจุฏูˆุฑ
1008
+
1009
+ 287
1010
+ 00:21:25,160 --> 00:21:28,800
1011
+ ุนู„ู‰ ุงู„ู€ probability of one zero two five ุทู„ุนุช ุงู„ู€
1012
+
1013
+ 288
1014
+ 00:21:28,800 --> 00:21:33,170
1015
+ critical value two point zero six four ุฅุฐุง ุงู†ุชุธุฑ
1016
+
1017
+ 289
1018
+ 00:21:33,170 --> 00:21:38,670
1019
+ ุฅูŠู‡ ุงู„ู€ 2.064 ุงู„ู„ูŠูุชุด ู‡ุชูƒูˆู† negative 2.064 We
1020
+
1021
+ 290
1022
+ 00:21:38,670 --> 00:21:45,250
1023
+ reject if this statistic fall either to the upper
1024
+
1025
+ 291
1026
+ 00:21:45,250 --> 00:21:49,310
1027
+ side I mean greater than 2.064 ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู€
1028
+
1029
+ 292
1030
+ 00:21:49,310 --> 00:21:54,030
1031
+ negative 2.064 Now is this value fall in the
1032
+
1033
+ 293
1034
+ 00:21:54,030 --> 00:22:00,050
1035
+ rejection region ุงู„ู€ 1.46 ุฃู‚ู„ ู…ู† 2.064 ู„ุฃู†ู‡ ูŠุชุฌุงูˆุฒ
1036
+
1037
+ 294
1038
+ 00:22:00,050 --> 00:22:03,730
1039
+ ุจูŠู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูŠู…. ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุง ู†ุชุฌุงูˆุฒ
1040
+
1041
+ 295
1042
+ 00:22:03,730 --> 00:22:09,110
1043
+ ุงู„ู€ hypothesis. ุฅุฐุง ู‚ุฑุงุฑู†ุง ุฅูŠุดุŸ ู„ุง ุชุชุฌุงูˆุฒุŒ ูู‡ูˆ ุตุญูŠุญ.
1044
+
1045
+ 296
1046
+ 00:22:09,730 --> 00:22:12,890
1047
+ ู„ุง ูŠูƒููŠ ู„ุญุงู„ู‡ุŒ ุนุงูŠุฒ ูŠุดุชุบู„ ู…ู† ุงู„ู†ุฌุงุฑูŠุฉ ุฅู„ู‰ ุงู„ู†ุชูŠุฌุฉ.
1048
+
1049
+ 297
1050
+ 00:22:13,650 --> 00:22:17,370
1051
+ ุงู„ู†ุชูŠุฌุฉุŒ ูƒู„ู…ุชูŠู† ุจุญูƒูŠู‡ู… ุฏุงุฆู…ุงุŒ ู…ูƒุฑุฑุงุช. ุทุงู„ู…ุง ุญูƒูŠุช
1052
+
1053
+ 298
1054
+ 00:22:17,370 --> 00:22:21,330
1055
+ ู„ุง ุชุชุฌุงูˆุฒุŒ ู…ุน ูƒุฏู‡ุŒ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฅุธู‡ุงุฑ ุฃู† ุงู„ู€
1056
+
1057
+ 299
1058
+ 00:22:21,330 --> 00:22:26,270
1059
+ true mean Cost is different from 168 ูŠุนู†ูŠ ุงู„ุฅุฏุนุงุก
1060
+
1061
+ 300
1062
+ 00:22:26,270 --> 00:22:32,090
1063
+ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุฅู†ู‡ ูŠุฎุชู„ู ุนู† 168 ู…ุง ูŠุฏุนุจุŒ ู…ุง ููŠุด ุฏู„ูŠู„
1064
+
1065
+ 301
1066
+ 00:22:32,090 --> 00:22:39,010
1067
+ ูƒุงููŠ ูŠุฏุนุจ ููŠ ุฃูŠ ุณุคุงู„ุŸ
1068
+
1069
+ 302
1070
+ 00:22:39,010 --> 00:22:42,150
1071
+ ููŠ ุงู„ู€ T-testุŒ ุงู„ู€ T-test depends on a new term
1072
+
1073
+ 303
1074
+ 00:22:42,150 --> 00:22:45,890
1075
+ called degrees of freedom ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉุŒ ุฃู†ุช ู…ุด
1076
+
1077
+ 304
1078
+ 00:22:45,890 --> 00:22:50,190
1079
+ ู…ุทู„ูˆุจ ู…ู†ูƒ ููŠ ุงู„ู€ course of basic statistics ุชุนุฑู ุฅูŠู‡
1080
+
1081
+ 305
1082
+ 00:22:50,190 --> 00:22:52,790
1083
+ ุฃูƒุซุฑ ู…ู† degrees of freedom equals n-1
1084
+
1085
+ 306
1086
+ 00:22:57,220 --> 00:23:00,320
1087
+ ูˆุฃู†ุง ุจุฅู…ูƒุงู†ูŠ ุงุณุชุฎุฏุงู…ู‡ุง ูู‚ุท ู„ูƒุชุงุจุฉ ุงู„ู‚ูŠู…
1088
+
1089
+ 307
1090
+ 00:23:00,320 --> 00:23:03,100
1091
+ ุงู„ู€ critical ุฅุฐุง ุนุดุงู† ุชุนู…ู„ location ู„ู„ู‚ูŠู…
1092
+
1093
+ 308
1094
+ 00:23:03,100 --> 00:23:07,240
1095
+ ุงู„ู€ critical ุจู„ุฒู…ู†ูŠ ุดุบู„ุชูŠู† ูˆู‚ุฑุฑุช ุจู‚ู‰ ุชุงู„ุช ู…ุฑุฉ
1096
+
1097
+ 309
1098
+ 00:23:07,240 --> 00:23:11,880
1099
+ ุจู„ุฒู…ู†ูŠ ู…ูŠู† ุงู„ู€ degrees of freedom ุงู„ู„ูŠ ู‡ูŠ 24 ุงู„ู„ูŠ
1100
+
1101
+ 310
1102
+ 00:23:11,880 --> 00:23:15,780
1103
+ ู‡ูŠ n-1 ูˆุงู„ู€ probability ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง in this
1104
+
1105
+ 311
1106
+ 00:23:15,780 --> 00:23:20,060
1107
+ case Alpha is 5% ุฅุฐุง ุงู„ู€ probability ู‡ุชูƒูˆู† ุจู‚ู‰ ุฌุณู…ู‡ุง
1108
+
1109
+ 312
1110
+ 00:23:20,060 --> 00:23:22,440
1111
+ ุนู„ู‰ ุงุชู†ูŠู† zero to five ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ zero to five
1112
+
1113
+ 313
1114
+ 00:23:22,440 --> 00:23:26,360
1115
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู‡ ุงู„ู€ alpha ุจุชูƒูŠ ูŠุนู†ูŠ ู„ูˆ ู…ุง ู‚ุถู†ุด ุงู„ู€
1116
+
1117
+ 314
1118
+ 00:23:26,360 --> 00:23:30,160
1119
+ alpha we assume alpha to be five percent any
1120
+
1121
+ 315
1122
+ 00:23:30,160 --> 00:23:36,280
1123
+ question ุฃูŠ ุณุคุงู„ ู…ู…ูƒู† ุงู„ุฏูƒุชูˆุฑ ุจุฑุถู‡ ู‡ูŠ non
1124
+
1125
+ 316
1126
+ 00:23:36,280 --> 00:23:41,720
1127
+ rejection ู„ุฃู† ู‡ู†ุง 95 ููŠ ุชุญุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ minus ุชุดูˆู
1128
+
1129
+ 317
1130
+ 00:23:41,720 --> 00:23:48,430
1131
+ ุงู„ู€ table ู…ู† ุชุญุช ุฎุงู„ุต ูŠุนุทูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ Z star ุงู„ู€ Z
1132
+
1133
+ 318
1134
+ 00:23:48,430 --> 00:23:52,210
1135
+ star ู‡ุฏูˆู„ ุงู„ู€ Z ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุทุจุนุง ุงู„ู€ T ูˆุงู„ู€
1136
+
1137
+ 319
1138
+ 00:23:52,210 --> 00:23:56,730
1139
+ Z close to each other for large sample size ูŠุนู†ูŠ
1140
+
1141
+ 320
1142
+ 00:23:56,730 --> 00:24:00,630
1143
+ when the sample size gets bigger and bigger T
1144
+
1145
+ 321
1146
+ 00:24:00,630 --> 00:24:04,350
1147
+ becomes very small to Z ูŠุนู†ูŠ ู„ู…ุง N ุจุชูƒุจุฑ ูƒุชูŠุฑ
1148
+
1149
+ 322
1150
+ 00:24:04,350 --> 00:24:09,590
1151
+ ุจุชุตูŠุฑ ู‚ูŠู…ุฉ ุงู„ู€ T ูˆู‚ูŠู…ุฉ ุงู„ู€ Z ู…ุงู„ู‡ู… ุญูˆุงู„ูŠ ุจุนุถ ุชู„ุงุญุธ
1152
+
1153
+ 323
1154
+ 00:24:09,590 --> 00:24:14,240
1155
+ ู‡ู†ุง ู„ู…ุง ุงู„ู€ degree of freedom 1000 ุทู„ุน ุนู„ู‰ ู‚ูŠู…ุฉ T
1156
+
1157
+ 324
1158
+ 00:24:14,240 --> 00:24:17,920
1159
+ ุงู„ุณุทุฑ ุงู„ู„ูŠ ุฌุงุจู†ูŠ ุงู„ุฃุฎูŠุฑ ูˆุงู„ุณุทุฑ ุงู„ุฃุฎูŠุฑ ุงู„ูุฑู‚ ุจูŠู†ู‡ู…
1160
+
1161
+ 325
1162
+ 00:24:17,920 --> 00:24:25,720
1163
+ ู…ุงู„ู‡ ุจุณูŠุท ุงู„ุฃูˆู„ ู‚ูŠู…ุฉ 0.675 ู„ุชุญุช ูƒุฏู‡ุŸ 0.674 ู‡ุฐุง
1164
+
1165
+ 326
1166
+ 00:24:25,720 --> 00:24:31,580
1167
+ ู„ุชุญุช Z ูููŠ ุญุงู„ุฉ ุชุจุนุชู†ุง ุฅุฐุง ุชุฐูƒุฑ ู„ู…ุง ูƒุงู†ุช ุงู„ู€ Z star
1168
+
1169
+ 327
1170
+ 00:24:31,580 --> 00:24:37,560
1171
+ 1.96 ู‡ู†ุง job 1.962 ูุงู„ุตู„ุงุฉ ุงู„ุฃุฎูŠุฑุฉ ุจูŠุจูŠู† ู„ูŠ ู‚ุฏ ุฅูŠุด
1172
+
1173
+ 328
1174
+ 00:24:37,560 --> 00:24:41,640
1175
+ ู‚ุฑูŠุจ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุงู„ู€ Z ู…ู† ุชูˆุฒูŠุน ุงู„ู€ T ุฅุฐุง as N
1176
+
1177
+ 329
1178
+ 00:24:41,640 --> 00:24:45,720
1179
+ gets bigger and bigger ุจูŠูƒูˆู† ุงู„ู€ T ู…ุงู„ู‡ ู‚ุฑูŠุจ ู…ู† ุงู„ู€
1180
+
1181
+ 330
1182
+ 00:24:45,720 --> 00:24:51,160
1183
+ Z ูŠุนู†ูŠ ู„ู…ุง N ูƒุจูŠุฑุฉ ุจูŠูƒูˆู† ู‚ูŠู…ุฉ ุงู„ู€ T ุชู‚ุฑูŠุจุง ู†ูุณ ู‚ูŠู…ุฉ
1184
+
1185
+ 331
1186
+ 00:24:51,160 --> 00:25:01,060
1187
+ ุงู„ู€ Z ุจุณ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃูŠ ุณุคุงู„ุŸ
1188
+
1189
+ 332
1190
+ 00:25:01,060 --> 00:25:07,050
1191
+ ูƒู… ู„ู‡ุง ุฏู‡ุŸ ุงู„ุจุนุฏ ู‡ูˆ to use the t-test must assume
1192
+
1193
+ 333
1194
+ 00:25:07,050 --> 00:25:10,310
1195
+ the population is normal ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุฅู†ู‡ ููŠ ู„ุงุฒู…
1196
+
1197
+ 334
1198
+ 00:25:10,310 --> 00:25:12,750
1199
+ ุฅู†ู‡ ู†ูุชุฑุถ ุฅู†ู‡ ุงู„ู€ population is normal
1200
+
1201
+ 335
1202
+ 00:25:12,750 --> 00:25:15,970
1203
+ distribution, follows normal distribution ุจูŠุญูƒูŠ ู„ูƒ
1204
+
1205
+ 336
1206
+ 00:25:15,970 --> 00:25:18,770
1207
+ ุนู„ู‰ ุฅุดูŠ as long as the sample size is not very
1208
+
1209
+ 337
1210
+ 00:25:18,770 --> 00:25:22,750
1211
+ small and the population is not very skewed, the t
1212
+
1213
+ 338
1214
+ 00:25:22,750 --> 00:25:26,960
1215
+ -test can be used ุณุจู‚ ูˆุญูƒูŠู†ุง ุงุญู†ุง ู‚ุจู„ ู‡ูŠูƒ ุฅู†ู‡ ูƒู„ ู…ุง
1216
+
1217
+ 339
1218
+ 00:25:26,960 --> 00:25:30,480
1219
+ ุงู„ู€ sample size ูƒุจุฑุช ูƒู„ ู…ุง ูƒุงู† ุนู†ุฏูŠ ุญุฌู… ุงู„ุนูŠู†ุฉ ุฃูƒุจุฑ
1220
+
1221
+ 340
1222
+ 00:25:30,480 --> 00:25:33,620
1223
+ ูƒู„ ู…ุง ู‚ุฑุจุช ุฅู† ู‡ูŠ ุจูŠูƒูˆู† ุดูƒู„ู‡ุง ุจูŠุจุฏุฃ ูŠุชูˆุฒุน ุฃูƒุซุฑ
1224
+
1225
+ 341
1226
+ 00:25:33,620 --> 00:25:35,800
1227
+ ูุจุงู„ุชุงู„ูŠ ุจุชู‚ุฑุจ ุฅู† ู‡ูŠ ุชุตูŠุฑ normal distribution
1228
+
1229
+ 342
1230
+ 00:25:35,800 --> 00:25:41,060
1231
+ ุฃูƒุซุฑ ูุจูŠุญูƒูŠ ู„ูƒ ุฅู† ุงุญู†ุง ูƒู„ ู…ุง ุญุฌู… ุงู„ุนูŠู†ุฉ ูƒุจุฑ ูุงู„ู€
1232
+
1233
+ 343
1234
+ 00:25:41,060 --> 00:25:43,280
1235
+ population ู‡ูŠูƒูˆู† ุฃูƒุซุฑ ุฃู‚ุฑุจ ู„ู€ ุงู„ู€ normal
1236
+
1237
+ 344
1238
+ 00:25:43,280 --> 00:25:46,840
1239
+ distribution ูุจู†ู‚ุฏุฑ ุฅู† ู†ุณุชุฎุฏู… ุงู„ู€ T test ูˆุจุนุฏ ู‡ูŠูƒ
1240
+
1241
+ 345
1242
+ 00:25:46,840 --> 00:25:51,690
1243
+ ุญูƒู‰ ู„ูƒ ุงู„ู„ูŠ ู‡ูˆ .. ุฃู†ุง ูˆุงุถุญู‡ุง ุฏูŠ ุฃูƒุซุฑ ุงู„ุดุฑุท ุงู„ุฃุณุงุณูŠ
1244
+
1245
+ 346
1246
+ 00:25:51,690 --> 00:25:54,850
1247
+ ุนุดุงู† ุงุณุชุฎุฏู…ุชูŠู‡ ุฅู† ูŠูƒูˆู† ุนู†ุฏู‡ normal distribution is
1248
+
1249
+ 347
1250
+ 00:25:54,850 --> 00:25:58,410
1251
+ satisfied ุนุดุงู† ุฃุถู…ู† normal distribution ู„ุงุฒู… ุงู„ู€
1252
+
1253
+ 348
1254
+ 00:25:58,410 --> 00:26:02,150
1255
+ sample size ูŠูƒูˆู† not very small ูŠุนู†ูŠ ุฅูŠุด ุนูƒุณ not
1256
+
1257
+ 349
1258
+ 00:26:02,150 --> 00:26:05,630
1259
+ very smallุŸ large .. large .. ู‡ุฐู‡ ูˆุงุญุฏุŒ ุงู„ุญุงู„ุฉ
1260
+
1261
+ 350
1262
+ 00:26:05,630 --> 00:26:07,990
1263
+ ุงู„ุชุงู†ูŠุฉ and the population is not very skewed
1264
+
1265
+ 351
1266
+ 00:26:07,990 --> 00:26:11,990
1267
+ ู…ุง ูŠูƒูˆู†ุด ู…ู„ุชูˆูŠ ูŠู…ูŠู† ุฃูˆ ุดู…ุงู„ ุจุฏุฑุฌุฉ ูƒุจูŠุฑุฉ ูŠุนู†ูŠ ู…ู…ูƒู†
1268
+
1269
+ 352
1270
+ 00:26:11,990 --> 00:26:14,950
1271
+ ูŠูƒูˆู† ููŠู‡ ุงู„ุชูˆุงุก ุดูˆูŠุฉ ู„ูƒู† ู…ุง ูŠูƒูˆู†ุด ุงู„ุชูˆุงุก ุจุฏุฑุฌุฉ
1272
+
1273
+ 353
1274
+ 00:26:14,950 --> 00:26:19,930
1275
+ ูƒุจูŠุฑุฉุŒ ู„ุฐุง ููŠ ุญุงู„ุฉ sample size is large enough or
1276
+
1277
+ 354
1278
+ 00:26:19,930 --> 00:26:22,830
1279
+ population is not very skewed either to the right
1280
+
1281
+ 355
1282
+ 00:26:22,830 --> 00:26:25,870
1283
+ or to the left in this case we can assume the
1284
+
1285
+ 356
1286
+ 00:26:25,870 --> 00:26:29,830
1287
+ population is normal and go ahead using T test ุฅุฐุง
1288
+
1289
+ 357
1290
+ 00:26:29,830 --> 00:26:33,330
1291
+ ุจุณุชุฎุฏู… T ููŠ ู‡ุฏูˆู„ ุงู„ุญุงู„ุชูŠู† how can we evaluate
1292
+
1293
+ 358
1294
+ 00:26:33,330 --> 00:26:38,950
1295
+ normality as we did before in section 6.3 either
1296
+
1297
+ 359
1298
+ 00:26:38,950 --> 00:26:43,710
1299
+ by using histogram or normal probability plot we can
1300
+
1301
+ 360
1302
+ 00:26:43,710 --> 00:26:47,150
1303
+ evaluate if the data is normally distributed ุฎุฏู†ุง
1304
+
1305
+ 361
1306
+ 00:26:47,150 --> 00:26:51,690
1307
+ ุฌุจู„ ู‡ูŠูƒ ุงู„ุขู† ููŠ ู†ู‚ุทุฉ ุฃู†ุง ู‡ุดุฑุญู‡ุง ุงู„ู„ูŠ ู‡ูŠ .. ุงู„ู„ูŠ
1308
+
1309
+ 362
1310
+ 00:26:51,690 --> 00:26:55,330
1311
+ ู‡ุดุฑุญู‡ุง ููŠ ุฒู…ูŠู„ุชูŠ ุงู„ู€ critical value approach ุทุฑูŠู‚ุฉ
1312
+
1313
+ 363
1314
+ 00:26:55,330 --> 00:26:58,810
1315
+ ุงู„ู€ critical value ู‚ูŠู…ุฉ ุงู„ุญุฑุฌุฉ ููŠ ุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ ุงุณู…ู‡ุง
1316
+
1317
+ 364
1318
+ 00:26:58,810 --> 00:27:03,050
1319
+ ูŠุงุด ุงู„ู€ P value approach ู‚ูŠู…ุฉ ุงู„ู€ P value ุฒูŠ ู…ุง
1320
+
1321
+ 365
1322
+ 00:27:03,050 --> 00:27:07,050
1323
+ ุงุณุชุฎุฏู…ู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุงู„ุขู† ุจุฏูŠ ุฃูƒูŠุฏ ุฃู†ุช ู„ุญุงู„ูƒ
1324
+
1325
+ 366
1326
+ 00:27:07,050 --> 00:27:11,930
1327
+ ู…ุนุงูƒูŠ ุฏู‚ูŠู‚ุชูŠู† ุชุทู„ุนูŠ ู„ูŠ ู‚ูŠู…ุฉ ุงู„ู€ P value ู…ู† ุงู„ู€ table
1328
+
1329
+ 367
1330
+ 00:27:11,930 --> 00:27:15,050
1331
+ ู‡ุฐุง
1332
+
1333
+ 368
1334
+ 00:27:15,050 --> 00:27:18,670
1335
+ ุงู„ู€ slide ู…ุด ุนู†ุฏูƒ .. ู…ุด ููŠ ุงู„ูƒุชุงุจ ู…ูˆุฌูˆุฏุฉ ู‡ุฐุง ุงู„ู€
1336
+
1337
+ 369
1338
+ 00:27:18,670 --> 00:27:21,490
1339
+ slide ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุถู…ู† ุงู„ู€ slides ุงู„ู„ูŠ ู…ุนุงูƒ ู‡ุฐุง ุงู„ู€
1340
+
1341
+ 370
1342
+ 00:27:21,490 --> 00:27:24,810
1343
+ slide ุจุชุญูƒูŠ ุนู† ุงู„ู€ P value approach ุฃู†ุช ุญุณุจูŠ ู„ูŠู‡ ู‡ูŠ
1344
+
1345
+ 371
1346
+ 00:27:24,810 --> 00:27:30,630
1347
+ ุจูŠุฏูƒ ุงู„ุขู† ุจุญูƒูŠ ู„ู„ูƒู„ ุทู„ุนูŠ ูˆุฑู‚ุฉ ุตุบูŠุฑุฉ ูˆุงุญุณุจูŠ ู‚ูŠู…ุฉ ุงู„ู€
1348
+
1349
+ 372
1350
+ 00:27:30,630 --> 00:27:34,650
1351
+ P value ู„ู„ู€ test ุงู„ู„ูŠ ุทู„ุนุช ู‚ูŠู…ุชู‡ one point four six
1352
+
1353
+ 373
1354
+ 00:27:34,650 --> 00:27:38,350
1355
+ ุญุงูˆู„ูŠ ู‡ุชุทู„ุนูŠ ุงู„ุฌูˆุงุจ ู„ู„ู€ P value approach
1356
+
1357
+ 374
1358
+ 00:27:41,430 --> 00:27:44,570
1359
+ ุฃูˆู„ ู…ุง ูŠุฎุจุฑ ุงู„ุทุงู„ุจ ุจุฃู† P-Value ู‡ูˆ one point ูู‡ู†ุงูƒ
1360
+
1361
+ 375
1362
+ 00:27:44,570 --> 00:27:51,170
1363
+ ุดูŠุก ุบู„ุท ู„ุฃู† P-Value ุจูŠู† 0 ูˆ1 ุทุจุนุง
1364
+
1365
+ 376
1366
+ 00:27:51,170 --> 00:27:57,670
1367
+ P-Value ู‡ูŠ probability ุจูŠู† 0 ูˆ1 ุทูŠุจุŒ
1368
+
1369
+ 377
1370
+ 00:27:57,670 --> 00:28:00,210
1371
+ ู‡ู„ ูŠู…ูƒู† ุฃุญุฏ ุฃู† ูŠุฑูŠู†ูŠ ูƒูŠู ุฃุฎุฑุฌ ุงู„ู„ูˆุญุฉุŸ
1372
+
1373
+ 378
1374
+ 00:28:16,430 --> 00:28:20,030
1375
+ ุทูŠุจ ุฎู„ูŠู†ูŠ ุฃุญู„ู‡ุง ูˆุฃุดูˆู ุงู„ุฎุทุฃ ุนู†ุฏูƒ ุจูŠู† ุงู„ู…ูˆุถูˆุน
1376
+
1377
+ 379
1378
+ 00:28:20,030 --> 00:28:30,610
1379
+ ุฑูƒุฒูŠ ู…ุนุงูŠุง ุงู„ู…ูŠูˆ ู…ุงู„ู‡ุง ู…ุง ุชุณุงูˆูŠุด 168 ูŠุนู†ูŠ one-tailed
1380
+
1381
+ 380
1382
+ 00:28:30,610 --> 00:28:39,150
1383
+ ูˆู„ุง two-tailedุŸ two-tailed ุฅุฐุง
1384
+
1385
+ 381
1386
+ 00:28:39,150 --> 00:28:39,710
1387
+ ุงู„ู€ P value
1388
+
1389
+ 382
1390
+ 00:28:42,580 --> 00:28:53,700
1391
+ ู†ุญู† ู†ุจุญุซ ุนู† ุงุนุชู‚ุงุฏ T ุฅู…ุง ุฃู† ูŠุณู‚ุท ููŠ ู‡ุฐุง ุงู„ุฌุงู†ุจ
1392
+
1393
+ 383
1394
+ 00:28:53,700 --> 00:29:02,420
1395
+ ุงู„ุตุญูŠุญุŒ ุงู„ุขู† ู‚ูŠู…ุฉ ุชุงุนุชู‚ุงุฏ T ู‡ูŠ 1.46ุŒ ู„ุฐู„ูƒ ุฃูƒุจุฑ ู…ู†
1396
+
1397
+ 384
1398
+ 00:29:02,420 --> 00:29:11,470
1399
+ 1.46. ุงู„ุขู† ุจู…ุง ุฃู†ู†ุง ู†ุชุญุฏุซ ุนู† ุชุฌุงุฑุจ 2D ุชูƒูˆู† ู‡ู†ุงูƒ
1400
+
1401
+ 385
1402
+ 00:29:11,470 --> 00:29:17,410
1403
+ ุงุชูุงู‚ูŠู† ู…ู† ุงู„ู…ู†ุงุทู‚ ูˆุงุญุฏ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ู† 1.46 ูˆุงู„ุขุฎุฑ
1404
+
1405
+ 386
1406
+ 00:29:17,410 --> 00:29:23,170
1407
+ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ
1408
+
1409
+ 387
1410
+ 00:29:23,170 --> 00:29:27,570
1411
+ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰
1412
+
1413
+ 388
1414
+ 00:29:27,570 --> 00:29:33,050
1415
+ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1
1416
+
1417
+ 389
1418
+ 00:29:33,050 --> 00:29:35,950
1419
+ .46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰
1420
+
1421
+ 390
1422
+ 00:29:35,950 --> 00:29:38,850
1423
+ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1
1424
+
1425
+ 391
1426
+ 00:29:38,850 --> 00:29:42,300
1427
+ .46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅุฐุง ููŠ ุงู„ู€ two-sided ุฃูˆ ุงู„
1428
+
1429
+ 431
1430
+ 00:33:06,000 --> 00:33:14,720
1431
+ ุฃูƒุซุฑ ู…ู† Alpha ู…ู† 5% ู„ุฐู„ูƒ ู„ุง ู†ู‚ูุฒ
1432
+
1433
+ 432
1434
+ 00:33:36,530 --> 00:33:42,310
1435
+ ุจุฅู…ูƒุงู†ูƒ ุงุณุชุฎุฏุงู… ุจุฑุงู…ุฌ ุญุงุณูˆุจูŠุฉ ุฌุงู‡ุฒุฉ ุชุนุทูŠูƒ ุงู„ู€ exact
1436
+
1437
+ 433
1438
+ 00:33:42,310 --> 00:33:42,830
1439
+ result
1440
+
1441
+ 434
1442
+ 00:33:46,800 --> 00:33:52,740
1443
+ around point one five seven point one five seven
1444
+
1445
+ 435
1446
+ 00:33:52,740 --> 00:33:59,280
1447
+ ู‡ุฐู‡ ุงู„ู€ exact answer ู†ุญู† ู…ุด ู‡ุชุทู„ุน ุงู„ู€ exact ู†ู‡ุงุฆูŠุงุŒ
1448
+
1449
+ 436
1450
+ 00:33:59,280 --> 00:34:02,980
1451
+ ู‡ุชุทู„ุน ุงู„ู€ approximate value ุฎู„ุงุตุŸ ุฅุฐุง ู‡ุงูŠ ุงู„ู€ two
1452
+
1453
+ 437
1454
+ 00:34:02,980 --> 00:34:05,680
1455
+ approaches to reject or don't reject the null
1456
+
1457
+ 438
1458
+ 00:34:05,680 --> 00:34:10,080
1459
+ hypothesis ุทูŠุจ ุงู„ู„ูŠ ู‚ุงู„ ุฌุงูŠ ุจุงุฎุฏ ุงู„ู€ one tipุŒ
1460
+
1461
+ 439
1462
+ 00:34:10,080 --> 00:34:14,460
1463
+ ุฐุงูƒุฑูŠู† ุฅูŠู‡ ุจูˆุŸ ุฎู„ุงุตุŸ
1464
+
1465
+ 440
1466
+ 00:34:14,460 --> 00:34:16,080
1467
+ ู…ุด ู…ุดูƒู„ุฉุŒ ุจูƒุฑุง ุจู†ูƒู…ู„ ุฅู† ุดุงุก ุงู„ู„ู‡
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/K5bkhM1rvFQ_raw.srt ADDED
@@ -0,0 +1,1780 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:22,910
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุŒ today ุงู† ุดุงุก ุงู„ู„ู‡ we
4
+
5
+ 2
6
+ 00:00:22,910 --> 00:00:25,990
7
+ continue with chapter 9 at the last lecture we
8
+
9
+ 3
10
+ 00:00:25,990 --> 00:00:29,890
11
+ talked about hypothesis testing and we said that
12
+
13
+ 4
14
+ 00:00:29,890 --> 00:00:33,990
15
+ there's two cases when I will deal with the
16
+
17
+ 5
18
+ 00:00:33,990 --> 00:00:37,710
19
+ hypothesis tests there's two cases, the first one
20
+
21
+ 6
22
+ 00:00:37,710 --> 00:00:42,030
23
+ we said and it depends on the existence of sigma
24
+
25
+ 7
26
+ 00:00:42,030 --> 00:00:46,910
27
+ which is thepopulation standard deviation. We said
28
+
29
+ 8
30
+ 00:00:46,910 --> 00:00:50,510
31
+ that the first case when sigma is known and we
32
+
33
+ 9
34
+ 00:00:50,510 --> 00:00:53,290
35
+ take it in details at the last lecture. We said
36
+
37
+ 10
38
+ 00:00:53,290 --> 00:00:57,090
39
+ that we will use z test and under z test there is
40
+
41
+ 11
42
+ 00:00:57,090 --> 00:01:00,640
43
+ two approaches ุงู„ critical value approach andุงู„ู„ูŠ
44
+
45
+ 12
46
+ 00:01:00,640 --> 00:01:04,500
47
+ ู‡ูˆ S ุงู„ B value approach and we learned how we
48
+
49
+ 13
50
+ 00:01:04,500 --> 00:01:07,520
51
+ calculate B value and we said that we have to
52
+
53
+ 14
54
+ 00:01:07,520 --> 00:01:11,620
55
+ compare B value with Alpha which is the level of
56
+
57
+ 15
58
+ 00:01:11,620 --> 00:01:16,340
59
+ significance. Today we will focus on the second
60
+
61
+ 16
62
+ 00:01:16,340 --> 00:01:22,030
63
+ case which is when Sigma is unknownOkay so the
64
+
65
+ 17
66
+ 00:01:22,030 --> 00:01:26,430
67
+ first slide say do you ever truly know sigma ุงู„ู„ูŠ
68
+
69
+ 18
70
+ 00:01:26,430 --> 00:01:29,250
71
+ ู‡ูŠ population standard deviation ูŠุนู†ูŠ ู‡ู„ุฃ ุงุญู†ุง ู‡ู„
72
+
73
+ 19
74
+ 00:01:29,250 --> 00:01:32,890
75
+ ูุนู„ุง ุฏุงูŠู…ุง ุชูƒูˆู† ุงู„ sigma ู…ุนุฑูˆูุฉ ุนู†ุฏู‰ ูˆู„ุง ู„ุฃ ุจุญูƒูŠู„ูƒ
76
+
77
+ 20
78
+ 00:01:32,890 --> 00:01:35,790
79
+ ุญูŠู† probably not ูŠุนู†ูŠ perhaps ุงู†ู‡ ู…ู…ูƒู† ู…ุง ุชูƒูˆู†ุด
80
+
81
+ 21
82
+ 00:01:35,790 --> 00:01:39,590
83
+ ู…ุนุฑูˆูุฉ ู„ูŠู‡ ุงู„ sigma ุนู†ุฏู‰ ูุจุญูƒูŠู„ูƒ ุงู† virtually all
84
+
85
+ 22
86
+ 00:01:39,590 --> 00:01:42,970
87
+ early world business situations sigma is not known
88
+
89
+ 23
90
+ 00:01:42,970 --> 00:01:46,150
91
+ ูŠุนู†ูŠ ุจุงู„ุญูŠุงุฉ practically ูŠุนู†ูŠ ุจุงู„ุญูŠุงุฉ ุจุงู„ูˆุงู‚ุนูŠุฉ
92
+
93
+ 24
94
+ 00:01:46,150 --> 00:01:49,820
95
+ ู…ุซู„ุง ู†ุญูƒูŠููŠ ุงู„ business situations ุจุงู„ุฃุบู„ุจ ุจุชูƒูˆู†
96
+
97
+ 25
98
+ 00:01:49,820 --> 00:01:53,320
99
+ ุงู„ sigma ู…ุด ู…ุนุฑูˆูุฉ okay ุงู„ ุจุนุฏ ุจุญูƒูŠู„ูƒ if there is
100
+
101
+ 26
102
+ 00:01:53,320 --> 00:01:57,380
103
+ a situation where sigma is known then mu is also
104
+
105
+ 27
106
+ 00:01:57,380 --> 00:02:00,580
107
+ known since to calculate sigma you need to know a
108
+
109
+ 28
110
+ 00:02:00,580 --> 00:02:04,500
111
+ mu ูŠุนู†ูŠ ุจู‚ูˆู„ูƒ ุจุงู„ situation ู„ู…ุง ุจุชูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ ุงู„
112
+
113
+ 29
114
+ 00:02:04,500 --> 00:02:08,360
115
+ sigma ู…ุนุฑูˆูุฉ ูุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mu ู…ุนุฑูˆูุฉ ู„ูŠุดุŸ ู„ุฃู†ู‡
116
+
117
+ 30
118
+ 00:02:08,360 --> 00:02:11,400
119
+ ุงู„ sigma ู„ู…ุง ุฃุฌูŠ ุฃุญุณุจ ุงู„ sigma ููŠ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุญุณุงุจ
120
+
121
+ 31
122
+ 00:02:11,400 --> 00:02:14,800
123
+ ุงู„ sigma ุฅูŠุด ู…ูˆุฌูˆุฏุŸ ุงู„ muูุจู…ุง ุงู†ูŠ ุงู†ุง ุทู„ุนุช ุงู„
124
+
125
+ 32
126
+ 00:02:14,800 --> 00:02:17,560
127
+ sigma ุงูˆ ูƒุงู†ุช ู…ุนุฑูˆูุฉ ุงูƒูŠุฏ ุงู„ mu ู…ุนุฑูˆู ู„ุงู† ุจุณุชุฎุฏู…ู‡ุง
128
+
129
+ 33
130
+ 00:02:17,560 --> 00:02:23,620
131
+ ููŠ ุญุณุงุจ ุงู„ sigma okay ุจุณู…ูƒ ุจุชุญูƒูŠ ู„ู„ู‡ุงุชู ุฎุงู†ูˆู† ุงู„
132
+
133
+ 34
134
+ 00:02:23,620 --> 00:02:29,880
135
+ sigma ุงู„ู„ูŠ ู‡ูˆ ุงู„ summation x minus mu square ุฃูˆ
136
+
137
+ 35
138
+ 00:02:29,880 --> 00:02:33,560
139
+ ูˆุฑู‚ูŠู† under square root ุงุฐุง ู„ูˆ ุญูƒูŠู†ุง sigma is non
140
+
141
+ 36
142
+ 00:02:33,560 --> 00:02:36,980
143
+ non
144
+
145
+ 37
146
+ 00:02:36,980 --> 00:02:42,300
147
+ ูŠุนู†ูŠ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
148
+
149
+ 38
150
+ 00:02:42,300 --> 00:02:43,280
151
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
152
+
153
+ 39
154
+ 00:02:43,280 --> 00:02:43,280
155
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
156
+
157
+ 40
158
+ 00:02:43,280 --> 00:02:43,300
159
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
160
+
161
+ 41
162
+ 00:02:43,300 --> 00:02:43,300
163
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
164
+
165
+ 42
166
+ 00:02:43,300 --> 00:02:43,300
167
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
168
+
169
+ 43
170
+ 00:02:43,300 --> 00:02:47,220
171
+ ุงู†ุง ุงู†ุงู…ุธุจูˆุท ูŠุง ุนุฒูŠุฒูŠุŒ ู„ูˆ ุงู„ู€mu ู…ุนุฑูˆูุฉุŒ ูุฃู‚ุฏุฑ ุฃุญุตู„
172
+
173
+ 44
174
+ 00:02:47,220 --> 00:02:53,380
175
+ ุงู„ู€sigma ู„ูƒู† ู„ูˆ ูƒุงู†ุช ุงู„ู€sigma ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ
176
+
177
+ 45
178
+ 00:02:53,380 --> 00:02:59,840
179
+ ูุงู„ู€mu ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ู…ุด ู‡ูŠุŸ ุฃู†ุง ูƒู„ ุดุบู„ ุจูŠู‚ุฏุณุŒ
180
+
181
+ 46
182
+ 00:02:59,840 --> 00:03:03,040
183
+ ูุจุงู„ุชุงู„ูŠ ู…ุงูŠูู‡ุงุด ุชูƒูˆู† ุนู†ุฏูƒ ุงู„ู€mu ู…ุด ู…ุนุฑูˆูุฉุŒ ูˆุงุญุฏ
184
+
185
+ 47
186
+ 00:03:03,040 --> 00:03:06,140
187
+ ุงู„ู€sigmaุŒ ูุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู†ุช ุงู„ู€mu ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ุฃูƒูŠุฏ
188
+
189
+ 48
190
+ 00:03:06,140 --> 00:03:09,380
191
+ ุงู„ู€sigma ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ is it a real practice,
192
+
193
+ 49
194
+ 00:03:09,480 --> 00:03:14,580
195
+ problemsุŸููŠ ุงู„ business situation is always sigma
196
+
197
+ 50
198
+ 00:03:14,580 --> 00:03:14,900
199
+ is unknown
200
+
201
+ 51
202
+ 00:03:19,900 --> 00:03:23,160
203
+ ุงู„ุจุนุฏ ู‡ูˆ ุจูŠุญูƒูŠู„ูƒ if you truly know a mu there
204
+
205
+ 52
206
+ 00:03:23,160 --> 00:03:26,160
207
+ would be no need to gather a sample to estimate it
208
+
209
+ 53
210
+ 00:03:26,160 --> 00:03:28,640
211
+ ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุฅู† ู„ูˆ ู…ุซู„ุง ููŠ ุงู„ situation ุงู„ู„ูŠ ุนู†ุฏูŠ
212
+
213
+ 54
214
+ 00:03:28,640 --> 00:03:31,380
215
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mu ุงู„ู„ูŠ ู‡ูˆ ุงู„ population mean ูƒุงู† ู…ูˆุฌูˆุฏ
216
+
217
+ 55
218
+ 00:03:31,380 --> 00:03:34,720
219
+ ุนู†ุฏู‡ ูู…ุงููŠุด ุฏุงุนูŠุฉ ุฅู† ุฃู†ุง ุฃุนู…ู„ ุฃุฌูŠุจ sample ุนุดุงู†
220
+
221
+ 56
222
+ 00:03:34,720 --> 00:03:39,040
223
+ ุฃุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample mean ุนุดุงู† ูŠุนู†ูŠ ุฎู„ุงุต ูŠุนู†ูŠ
224
+
225
+ 57
226
+ 00:03:39,040 --> 00:03:41,020
227
+ ุจุชูƒููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ population mean ุฅุฐุง ูƒุงู† ู…ูˆุฌูˆุฏ
228
+
229
+ 58
230
+ 00:03:41,020 --> 00:03:44,440
231
+ ุฎู„ุงุต ุจูŠูƒููŠ ุจูŠุณุชุฎุฏู…ู‡ ู‡ูˆ ุงู„ู…ูˆุถูˆุน ุงุณู…ุชู‡ ุชุญูƒูŠ ู†ู‚ุทุฉ
232
+
233
+ 59
234
+ 00:03:44,440 --> 00:03:49,050
235
+ ู…ู‡ู…ุฉุฅุฐุง ุงู„ู€mu ู…ุนุฑูˆูุฉ ู…ู† ุงู„ุฃุตู„ ุฃูˆ ุงู„ู€mu is given ู…ุง
236
+
237
+ 60
238
+ 00:03:49,050 --> 00:03:52,110
239
+ ูƒู†ุช ุจูŠุดุฌุน ุฃุนู…ู„ testing ุฅุฐุง ุงู„ hypothesis test ุงู„ู„ูŠ
240
+
241
+ 61
242
+ 00:03:52,110 --> 00:03:57,110
243
+ ุจูŠู†ุงุนู…ู„ ุงู„ู…ู‡ู… ู‡ูˆ ู„ู…ุง ุชูƒูˆู† ุงู„ู€mu is unknown ุทุงู„ู…ุง
244
+
245
+ 62
246
+ 00:03:57,110 --> 00:03:59,670
247
+ ุงู„ู€mu is unknown ุฃูƒูŠุฏ ุงู†ุง ู‡ุนู…ู„ sample ู„ูƒู† ู„ูˆ ุงู„ู€mu
248
+
249
+ 63
250
+ 00:03:59,670 --> 00:04:03,230
251
+ is given ุจูŠุดุฌุน ุฃุนู…ู„ sample ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงูุชุฑุถ ูˆุงุญุฏ
252
+
253
+ 64
254
+ 00:04:03,230 --> 00:04:06,930
255
+ ุจูŠุญูƒูŠ ุนู…ุฑ ุทุงู„ุฉ ุงู„ุฌุงู…ุนุฉ ุฃุณุชู…ูŠู‡ุง 22 ุณู†ุฉ ุนู…ุฑ ุทุงู„ุฉ
256
+
257
+ 65
258
+ 00:04:06,930 --> 00:04:09,710
259
+ ุงู„ุฌุงู…ุนุฉ ูƒู„ู‡ุง ุจูŠุดุฌุน ุฃุฎุฏ sample ุฃูˆ ุฃุนู…ู„ estimation
260
+
261
+ 66
262
+ 00:04:09,710 --> 00:04:13,490
263
+ ุฃูˆ ุฃุนู…ู„ test ุฅุฐุง if the true mean is given then
264
+
265
+ 67
266
+ 00:04:13,490 --> 00:04:18,290
267
+ there is no needุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
268
+
269
+ 68
270
+ 00:04:18,290 --> 00:04:23,690
271
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจู‡ู„ู‚ูŠุช .. okay ู‡ู„ู‚ูŠุช ุงู„ hypothesis
272
+
273
+ 69
274
+ 00:04:23,690 --> 00:04:26,670
275
+ testing when sigma is unknown ู‡ู„ู‚ูŠุช ู‡ู†ุงุฎุฏ ุงู„
276
+
277
+ 70
278
+ 00:04:26,670 --> 00:04:29,770
279
+ differences between ุงู„ู„ูŠ ู‡ูˆ ุงู„ case ู„ู…ุง ูŠูƒูˆู† ุงู„
280
+
281
+ 71
282
+ 00:04:29,770 --> 00:04:32,890
283
+ sigma non ูˆ ุงู„ sigma unknown ุฑูƒุฒูˆุง ู…ุนุงูŠุง ุฃูˆู„
284
+
285
+ 72
286
+ 00:04:32,890 --> 00:04:35,650
287
+ difference ุจูŠุญูƒูŠู„ูƒ if the population standard
288
+
289
+ 73
290
+ 00:04:35,650 --> 00:04:38,750
291
+ deviation is unknown ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma ูˆู…ุง ูƒุงู†ุช ู…ุด
292
+
293
+ 74
294
+ 00:04:38,750 --> 00:04:41,490
295
+ ู…ุนุฑูˆูุฉ you instead use the sample standard
296
+
297
+ 75
298
+ 00:04:41,490 --> 00:04:44,470
299
+ deviation ุฃุตู„ุง ูŠุนู†ูŠ ุงุฎุชู„ุงู ุจุณูŠุท ุจู…ุง ุฃู† ุงู„
300
+
301
+ 76
302
+ 00:04:44,470 --> 00:04:47,050
303
+ population standard deviation ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma ู…ุด
304
+
305
+ 77
306
+ 00:04:47,050 --> 00:04:49,990
307
+ ู…ุนุฑูˆู ู‡ุณุชุฎุฏู… ุจุฏู„ู‡ุง ู…ูŠู†ุŸุงู„ู„ูŠ ู‡ูˆ ุงู„ S ุงู„ู„ูŠ ู‡ูˆ ุงู„
308
+
309
+ 78
310
+ 00:04:49,990 --> 00:04:53,750
311
+ sample standard deviation ู‡ุงูŠ ุฃูˆู„ ุงุฎุชู„ุงู ุชุงู†ูŠ ุฅุดูŠ
312
+
313
+ 79
314
+ 00:04:53,750 --> 00:04:56,890
315
+ because of this exchange you use the T
316
+
317
+ 80
318
+ 00:04:56,890 --> 00:05:00,290
319
+ distribution instead of use .. instead of the Z
320
+
321
+ 81
322
+ 00:05:00,290 --> 00:05:02,630
323
+ distribution to test the null hypothesis about the
324
+
325
+ 82
326
+ 00:05:02,630 --> 00:05:05,730
327
+ mean ูŠุนู†ูŠ ุจุฏู„ ุงู„ู„ูŠ ุฅุญู†ุง ูƒู†ุง ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ Z
328
+
329
+ 83
330
+ 00:05:05,730 --> 00:05:08,950
331
+ distribution ุฃูˆ Z test ู‡ู„ุฃ ู‡ู†ุณุชุฎุฏู… ุฅุดูŠ ุงุณู…ู‡ T
332
+
333
+ 84
334
+ 00:05:08,950 --> 00:05:12,270
335
+ distribution ุฃูˆ T test ู‡ู„ุฃ ู‡ู†ุดูˆู ูƒูŠู ูŠุนู†ูŠ ุจูŠูƒูˆู†
336
+
337
+ 85
338
+ 00:05:12,270 --> 00:05:16,500
339
+ ุงู„ุฎุทูˆุงุชุชุงู„ุช ุงุฎุชู„ุงู when using the T-distribution
340
+
341
+ 86
342
+ 00:05:16,500 --> 00:05:18,920
343
+ you must assume the population you are sampling
344
+
345
+ 87
346
+ 00:05:18,920 --> 00:05:22,580
347
+ from follows a normal distribution ูŠุนู†ูŠ ู„ู…ุง ุฃุณุชุฎุฏู…
348
+
349
+ 88
350
+ 00:05:22,580 --> 00:05:25,140
351
+ ุงู„ T-test ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏูŠ ููŠู‡ assumption ุฃู†ุง ุฃูุชุฑุถู‡
352
+
353
+ 89
354
+ 00:05:25,140 --> 00:05:28,460
355
+ ุฃูˆ ุญุชู‰ ู…ู† ุงู„ุณุคุงู„ ู‡ูˆ ุจูŠูƒูˆู† ู…ูุชุฑุถ ู„ูƒูŠุง ุฃู†ู‡ ุชูƒูˆู† ุงู„
356
+
357
+ 90
358
+ 00:05:28,460 --> 00:05:31,180
359
+ population follows normal distribution ุชูˆุฒูŠุน ุทุจูŠุนูŠ
360
+
361
+ 91
362
+ 00:05:31,180 --> 00:05:33,860
363
+ ุงู„ population ูˆ ุจุนุฏูŠู† ุจูŠุญูƒูŠู„ูƒ all other steps
364
+
365
+ 92
366
+ 00:05:33,860 --> 00:05:37,180
367
+ concepts and conclusions are the same ุจุงู‚ู‰ ุงู„ุฎุทูˆุงุช
368
+
369
+ 93
370
+ 00:05:37,180 --> 00:05:42,490
371
+ as we take when sigma is none ูŠุนู†ูŠ ู†ูุณ ุงู„ุฎุทูˆุฉุจุณ
372
+
373
+ 94
374
+ 00:05:42,490 --> 00:05:46,610
375
+ basically ู†ุญูƒูŠ ู„ูˆ ุชูƒูˆู† sigma is not given ู‡ูŠ ุงู†ุช
376
+
377
+ 95
378
+ 00:05:46,610 --> 00:05:50,510
379
+ ู„ุงุดุฉ latticeุŒ ุฑู‚ู… ูˆุงุญุฏ ุจูŠ replace sigma which is
380
+
381
+ 96
382
+ 00:05:50,510 --> 00:05:54,760
383
+ unknown by Sุฅุฐุง ู†ุดูŠู„ sigma ูˆ ู†ุทู„ุน ุงู„ .. ุงู„
384
+
385
+ 97
386
+ 00:05:54,760 --> 00:05:57,180
387
+ simplicity ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ sample standard
388
+
389
+ 98
390
+ 00:05:57,180 --> 00:06:01,080
391
+ deviation ู‡ุฐุง ุฑู‚ู… ูˆุงุญุฏ ุฑู‚ู… ุงุชู†ูŠู† ุจุฏู„ ู…ุง ูƒู†ุง ู†ุณุชุฎุฏู…
392
+
393
+ 99
394
+ 00:06:01,080 --> 00:06:05,180
395
+ z for distribution ููŠ ุนู†ุฏู†ุง new tests called T
396
+
397
+ 100
398
+ 00:06:05,180 --> 00:06:08,080
399
+ distribution ุฅุฐุง ุญู†ุง ู†ุณุชุฎุฏู… T ูˆ ๏ฟฝ๏ฟฝูˆุฑูŠูƒูˆุง ุจุนุฏ ุดูˆูŠุฉ
400
+
401
+ 101
402
+ 00:06:08,080 --> 00:06:10,720
403
+ table ุชุจุน ุงู„ T ูˆ how can we compute the critical
404
+
405
+ 102
406
+ 00:06:10,720 --> 00:06:14,060
407
+ values using T distribution ุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ ู…ู‡ู…ุฉ
408
+
409
+ 103
410
+ 00:06:14,060 --> 00:06:17,280
411
+ ุฌุฏุง ุฃู†ู‡ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ normal assumption
412
+
413
+ 104
414
+ 00:06:17,280 --> 00:06:20,460
415
+ satisfied ูŠุนู†ูŠ ูุฑุถูŠุฉ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุชูƒูˆู† ู…ุง ู„ู‡ุง
416
+
417
+ 105
418
+ 00:06:20,460 --> 00:06:24,440
419
+ is okayุฃูŠ ุญุงุฌุฉ ุชุงู†ูŠุฉ ุงู„ steps ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู…
420
+
421
+ 106
422
+ 00:06:24,440 --> 00:06:28,260
423
+ still the same ุชุจุชุฏูˆุง ู†ูุณ ุงู„ุดูŠุก ุณูˆุงุก ู…ู† ู†ุงุญูŠุฉ ุงู„
424
+
425
+ 107
426
+ 00:06:28,260 --> 00:06:33,120
427
+ concepts ุฃูˆ ุงู„ conclusions are still the same any
428
+
429
+ 108
430
+ 00:06:33,120 --> 00:06:39,040
431
+ questions ู‡ุฐุง ู…ู‚ุฏู…ุฉ ู„ู…ูˆุถูˆุน ุงู„ sigma is unknown
432
+
433
+ 109
434
+ 00:06:43,750 --> 00:06:46,370
435
+ Okay ู‡ู„ุฃ ุฅุฐุง ุจุญูƒูŠู„ูƒ ุงู„ุขู† ุจู†ุดูˆู ุงู„ู„ูŠ ู‡ูŠ ุฎุทูˆุงุช ุงู„
436
+
437
+ 110
438
+ 00:06:46,370 --> 00:06:49,390
439
+ test ุงูˆู„ ุฅูŠุด ุจูŠุญูƒูŠูƒ test of hypothesis for the
440
+
441
+ 111
442
+ 00:06:49,390 --> 00:06:52,670
443
+ mean when sigma is unknown ุฅูŠุด ุจุฏู†ุง ู†ุญูˆู„ ุงู„ู„ูŠ ู‡ูˆ
444
+
445
+ 112
446
+ 00:06:52,670 --> 00:06:56,710
447
+ convert sample statistic x bar to a t state ูŠุนู†ูŠ
448
+
449
+ 113
450
+ 00:06:56,710 --> 00:07:03,350
451
+ ู‡ู†ุงูƒ ูƒู†ุง ู†ุญูˆู„ ู„ z state ุชูŠ statistic okay ุงู„ู„ูŠ ู‡ูˆ
452
+
453
+ 114
454
+ 00:07:03,350 --> 00:07:08,890
455
+ ู‡ู†ุดูˆู ุฅูŠุด ุงู„ู‚ุงู†ูˆู† ุงู„ t state ุงูˆ statistic equal ุงู„
456
+
457
+ 115
458
+ 00:07:08,890 --> 00:07:17,210
459
+ x bar-M U Divided By S Over Square Root Of NุฒูŠ ู…ุง
460
+
461
+ 116
462
+ 00:07:17,210 --> 00:07:20,170
463
+ ุงุญู†ุง ุดุงูŠููŠู† ุจุดุจู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Z-statistic ุจุณ ุงู„
464
+
465
+ 117
466
+ 00:07:20,170 --> 00:07:23,330
467
+ difference ุงู„ูˆุญูŠุฏ ุงุญู†ุง ุญุงูƒูŠู‡ ุจุฏู„ ุงู„ุณูŠุฌู…ุง ุงู„ู„ูŠ ู‡ูŠ
468
+
469
+ 118
470
+ 00:07:23,330 --> 00:07:26,350
471
+ population standard deviation ุฑุงุญ ู†ุณุชุจุฏู„ู‡ุง ุจ S
472
+
473
+ 119
474
+ 00:07:26,350 --> 00:07:29,350
475
+ ุจุงู„ุฃุณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณู… ุจุงู„ standard deviation ุจุณ ูˆู‡ูŠ
476
+
477
+ 120
478
+ 00:07:29,350 --> 00:07:33,730
479
+ ู‡ู†ุง ุญุทุชู„ูƒ ุงู„ู…ุฎุทุท hypothesis test test for the mean
480
+
481
+ 121
482
+ 00:07:33,730 --> 00:07:37,810
483
+ sigma known Z test ุฃู…ุง sigma unknown ู‡ู†ุณุชุฎุฏู… ุงู„ T
484
+
485
+ 122
486
+ 00:07:37,810 --> 00:07:41,990
487
+ test the test statistic is a T statistic equal ู‡ูŠูˆ
488
+
489
+ 123
490
+ 00:07:41,990 --> 00:07:46,310
491
+ X bar minus ุงู„ู…ูŠูˆ divided by S over square root of
492
+
493
+ 124
494
+ 00:07:46,310 --> 00:07:54,840
495
+ Nุจุณ ุงู„ู„ูŠ ุจุนุฏ ู‡ู‡ุŸ ู‡ู„ุฃ ู‡ู†ุงุฎุฏ example ุฑูƒุฒูˆุง ู…ุนุงู‡ ู„ุฅู†ู‡
496
+
497
+ 125
498
+ 00:07:54,840 --> 00:07:58,480
499
+ ููŠ ุฃุดูŠุงุก ุฌุฏูŠุฏุฉ ู‡ู†ุชุนุฑู ุนู„ูŠู‡ุง ูู†ู‚ุฑุฃ ู…ุน ุจุนุถ ุงู„
500
+
501
+ 126
502
+ 00:07:58,480 --> 00:08:04,220
503
+ example ุฎู„ู†ุง ุงู„ example ูˆุงุญุฏุฉ ู…ู†ูƒู… ุชู‚ุฑุฃู‡ ูˆูˆุงุญุฏุฉ
504
+
505
+ 127
506
+ 00:08:04,220 --> 00:08:08,780
507
+ ุชุทู„ุน ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ู„ูŠ ููŠู‡ ุฎู„ู†ุง ู…ุดุงุฑูƒุฉ ู…ู†ูƒู… ุชุนุงู„ู‰ ู‡ู†ุง
508
+
509
+ 128
510
+ 00:08:10,100 --> 00:08:13,120
511
+ The average cost of a hotel room in New York is
512
+
513
+ 129
514
+ 00:08:13,120 --> 00:08:19,760
515
+ said to be 168$ per night. To determine if this is
516
+
517
+ 130
518
+ 00:08:19,760 --> 00:08:25,550
519
+ true, a random sample of 25 hotelstaken and
520
+
521
+ 131
522
+ 00:08:25,550 --> 00:08:38,050
523
+ resulted in an x of 172.50$ and an s of 15.40$ ุงู„
524
+
525
+ 132
526
+ 00:08:38,050 --> 00:08:42,370
527
+ standard sample standard deviation 15 this is the
528
+
529
+ 133
530
+ 00:08:42,370 --> 00:08:50,130
531
+ appropriate hypothesis at alpha 0.05 ุทู„ุน ุฒู…ูŠู„ุชูƒ
532
+
533
+ 134
534
+ 00:08:50,130 --> 00:08:54,780
535
+ ุญูƒุช ููŠ ุดูƒู„ุชูŠู† ู…ู‡ู…ุงุช ููŠ ุงู„ exampleุจุชุญูƒูŠ ุงู„ average
536
+
537
+ 135
538
+ 00:08:54,780 --> 00:09:00,360
539
+ cost of a hotel room is said to be 168$ ุงู„ 168
540
+
541
+ 136
542
+ 00:09:00,360 --> 00:09:06,740
543
+ ุณุงู…ุจู„ ู…ูŠู† ูˆ ู„ุง ุงู„ population ู…ูŠู† ุงู„ 168 ู‡ูˆ ุจูŠุญูƒูŠุด
544
+
545
+ 137
546
+ 00:09:06,740 --> 00:09:09,640
547
+ ุงู„ average cost of a hotel room in New York ุจู„ุฏ
548
+
549
+ 138
550
+ 00:09:09,640 --> 00:09:18,400
551
+ ูƒู„ู‡ุง population ุฅุฐุง ุงู„ 168 ู…ูŠูˆ ุฅุฐุง ุงู„ ู…ูŠูˆ 168 ู‡ุฐุง
552
+
553
+ 139
554
+ 00:09:18,400 --> 00:09:27,240
555
+ ู†ู‚ุทุฉ ู…ู‡ู…ุฉ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉุชุชุฃูƒุฏ ุฅุฐุง ูƒุงู† ู‡ุฐุง ุตุญูŠุญ ุจุฏูŠ
556
+
557
+ 140
558
+ 00:09:27,240 --> 00:09:35,400
559
+ ุฃุญุฏุซ ูƒู„ู…ุฉ ุตุญูŠุญุฉ ูˆู„ุง ู„ุฃ ุฎู…ุณูŠู† ูˆุนุดุฑูŠู† ุฎู…ุณูŠู† ูˆุนุดุฑูŠู†
560
+
561
+ 141
562
+ 00:09:37,930 --> 00:09:45,350
563
+ ุฅู† ุงู† ุงูŠู‡ ู‡ุฐู‡ X bar ุตู„ุญูˆู‡ุง ู…ุด X X bar of 172.5$
564
+
565
+ 142
566
+ 00:09:45,350 --> 00:09:50,150
567
+ ูŠุนุทุช X bar average ู…ูŠู† ุงู„ู„ูŠ ูŠุนุทูŠ ุงู„ average ู„ 25
568
+
569
+ 143
570
+ 00:09:50,150 --> 00:09:54,450
571
+ ุงู„ 25 sample ู…ุธุจูˆุท ูู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุงู„ sample ู…ูŠู† ูˆู„ุง
572
+
573
+ 144
574
+ 00:09:54,450 --> 00:09:58,010
575
+ ุงู„ population ู…ูŠู† ุงู„ sample ุทุงู„ู…ุง ุญูƒูŠุช random
576
+
577
+ 145
578
+ 00:09:58,010 --> 00:10:02,730
579
+ sample ู„ 25 resulted in ู…ุน ูƒุฏู‡ ุนู†ุฏ ุงู„ sample ู…ูŠู†
580
+
581
+ 146
582
+ 00:10:02,730 --> 00:10:06,390
583
+ ุฅุฐุง ุงู„ X bar equal 172.5
584
+
585
+ 147
586
+ 00:10:12,650 --> 00:10:20,150
587
+ ูˆ S 15.4 ู‡ุฐุง ุงู„ู€ S ู„ุณุงู…ples standard deviation ูˆ
588
+
589
+ 148
590
+ 00:10:20,150 --> 00:10:27,090
591
+ ุงู„ู€ S 15.4 ุทุงู„ุนุด ุจูŠุณุฃู„ ุงู„ test the appropriate
592
+
593
+ 149
594
+ 00:10:27,090 --> 00:10:32,280
595
+ hypothesisุจุฏูˆุง ุงู„ hypothesis ุงู„ู…ู†ุงุณุจุฉ ู‡ูˆ ุงูŠุด ..
596
+
597
+ 150
598
+ 00:10:32,280 --> 00:10:36,180
599
+ ุงูŠุด ุงู„ู„ูŠ ุงุนุทุงู†ูŠุง ุงู† ุงู„ average overall 168 we are
600
+
601
+ 151
602
+ 00:10:36,180 --> 00:10:39,500
603
+ testing this average this null hypothesis against
604
+
605
+ 152
606
+ 00:10:39,500 --> 00:10:43,260
607
+ do you think mu should be .. does not equal to or
608
+
609
+ 153
610
+ 00:10:43,260 --> 00:10:46,220
611
+ greater than or smaller thanุŸ ุงู„ู„ูŠ ู…ูŠุญูƒู…ูˆุง ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:10:46,220 --> 00:10:50,710
615
+ ุงู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸู‡ู„ ุญูƒู‰ ููŠ ุงู„ู…ุซู„ุฉ direction ู…ุนูŠู†ุŸ ู„ุฃ
616
+
617
+ 155
618
+ 00:10:50,710 --> 00:10:54,390
619
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
620
+
621
+ 156
622
+ 00:10:54,390 --> 00:10:55,550
623
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
624
+
625
+ 157
626
+ 00:10:55,550 --> 00:10:59,170
627
+ ู„ุฃ ู„ุฃ
628
+
629
+ 158
630
+ 00:10:59,170 --> 00:10:59,350
631
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
632
+
633
+ 159
634
+ 00:10:59,350 --> 00:10:59,350
635
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
636
+
637
+ 160
638
+ 00:10:59,350 --> 00:10:59,350
639
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
640
+
641
+ 161
642
+ 00:10:59,350 --> 00:11:08,530
643
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
644
+
645
+ 162
646
+ 00:11:08,530 --> 00:11:12,830
647
+ ู„
648
+
649
+ 163
650
+ 00:11:19,730 --> 00:11:23,670
651
+ ุงู„ุงู† ู‡ุชุทู„ุนู†ุง ุงู„ information ุงู„ู„ูŠ ู„ุงุฒู…ุฉ ู…ู† ุงู„ู…ุซู„ุฉุŒ
652
+
653
+ 164
654
+ 00:11:23,670 --> 00:11:30,200
655
+ ู…ุงุดูŠูŠู†ุŸ ุจุจุฏุฃ ุฃูƒู…ู„ุŸ ุฃูƒู…ู„ ุฃู†ุงุจู…ุง ุฃู† ูƒุชุจู†ุง ุฅุญู†ุง ุงู„ู„ูŠ
656
+
657
+ 165
658
+ 00:11:30,200 --> 00:11:32,680
659
+ ู‡ูŠ non hypothesis ูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ alternative
660
+
661
+ 166
662
+ 00:11:32,680 --> 00:11:37,160
663
+ hypothesis ุงู„ู„ูŠ ู‡ูˆ ุฅู† ุงู„ mu equal 168 ูˆ ุฅู† ุงู„
664
+
665
+ 167
666
+ 00:11:37,160 --> 00:11:42,260
667
+ alternative hypothesis ุฅู† ุงู„ mu not equal 168 ุฃูˆู„
668
+
669
+ 168
670
+ 00:11:42,260 --> 00:11:44,940
671
+ ุดุบู„ ุจู†ุทู„ุน ููŠู‡ุง ุจุงู„ุณุคุงู„ ุฒูŠ ู…ุง ูƒู†ุง ู…ุงุฎุฏูŠู†ู‡ ู‚ุจู„ ุจู†ุดูˆู
672
+
673
+ 169
674
+ 00:11:44,940 --> 00:11:48,500
675
+ ุฅุฐุง ุงู„ sigma non ูˆู„ุง unknown ุทุจุนุง ุนู†ุฏูƒ ุงู„ุณุคุงู„ ุฅุญู†ุง
676
+
677
+ 170
678
+ 00:11:48,500 --> 00:11:51,180
679
+ ูƒุชุจู†ุง ูƒู„ ุงู„ู…ุนุทูŠุงุช ู…ุนุทูŠู†ูŠ ุงู„ sample standard
680
+
681
+ 171
682
+ 00:11:51,180 --> 00:11:54,960
683
+ deviation ุฃู…ุง ุงู„ sigma ู…ุด ู…ุนุฑูˆูุฉ so ุจู†ุญูƒูŠ ุฅู†ู‡ ..
684
+
685
+ 172
686
+ 00:11:54,960 --> 00:12:02,830
687
+ so ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆุงู„ sigma is unknown so
688
+
689
+ 173
690
+ 00:12:02,830 --> 00:12:11,770
691
+ we will use .. ุฅูŠุด ู‡ู†ุณุชุฎุฏู… I test .. T testูˆุจู…ุง
692
+
693
+ 174
694
+ 00:12:11,770 --> 00:12:14,350
695
+ ุฃู†ู†ุง ู‡ุณุชุฎุฏู… ุงู„ T-test ูˆู‡ูˆ ูƒุชุจู„ู‡ you assume the
696
+
697
+ 175
698
+ 00:12:14,350 --> 00:12:16,930
699
+ population distribution is normal ุฅุญู†ุง ุญูƒูŠู†ุง ุฅู†ู‡
700
+
701
+ 176
702
+ 00:12:16,930 --> 00:12:19,770
703
+ ุนุดุงู† ู†ุณุชุฎุฏู… ุงู„ T-test ู„ุงุฒู… ู†ูุชุฑุถ ุฅู†ู‡ ุงู„ population
704
+
705
+ 177
706
+ 00:12:19,770 --> 00:12:22,830
707
+ follows normal distribution ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ
708
+
709
+ 178
710
+ 00:12:22,830 --> 00:12:27,010
711
+ ุทุจุนุง ุจุงู„ T-test ุจุฏู†ุง ู†ุฌูŠุจ ุฅุดูŠ ุงุณู…ู‡ T-statistic
712
+
713
+ 179
714
+ 00:12:27,010 --> 00:12:30,210
715
+ ุงู„ู„ูŠ ู‚ุจู„ ุดู‡ุฑ ูƒุชุจู†ุง ู‚ุงู†ูˆู†ุฉ ู‡ูŠู‡ุง ุฃูˆู„ ุฅุดูŠ ุจู†ุฌูŠุจ ุงู„ T
716
+
717
+ 180
718
+ 00:12:30,210 --> 00:12:30,950
719
+ -statistic
720
+
721
+ 181
722
+ 00:12:35,440 --> 00:12:39,980
723
+ divided by ุงู„ S ุนู„ู‰ a square root of n ูˆู‡ูŠ
724
+
725
+ 182
726
+ 00:12:39,980 --> 00:12:47,200
727
+ ุงู„ู…ูˆุถูˆุนุงุช ุทู„ุนู†ุงู‡ู… ุฏุบุฑูŠ ู…ูˆ ุจุจู‚ู‰ ุดุจูƒุฉ minus ุงู„ู„ูŠ ู‡ูˆ
728
+
729
+ 183
730
+ 00:12:47,200 --> 00:12:50,920
731
+ one hundred sixty eight divided by ุงู„ S ุงู„ู„ูŠ ู‡ูŠ
732
+
733
+ 184
734
+ 00:12:50,920 --> 00:12:55,980
735
+ simple standard deviation fifteen point forty ุนู„ู‰
736
+
737
+ 185
738
+ 00:12:55,980 --> 00:13:00,280
739
+ ุงู„ู„ูŠ ู‡ูˆ a square root of n ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ุจุทู„ุน ุนู†ุฏูŠ
740
+
741
+ 186
742
+ 00:13:00,280 --> 00:13:07,530
743
+ ุงู„ T statistic one point four sixุงู„ุญู…ุฏ ู„ู„ู‡ุงู‡
744
+
745
+ 187
746
+ 00:13:07,530 --> 00:13:11,170
747
+ ู‡ู„ุงู‚ูŠุชู‡ุง ุจุนุฏ ู…ุง ุฌูŠุจู†ุง ุงู„ T statistic ุจุฏู†ุง ู†ุฌูŠุจ
748
+
749
+ 188
750
+ 00:13:11,170 --> 00:13:14,070
751
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุทูˆุฉ ุงู„ู„ูŠ ุจุนุฏู‡ุง ู†ุฑุณู… ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง ุนู†ุฏูŠ
752
+
753
+ 189
754
+ 00:13:14,070 --> 00:13:18,010
755
+ ุงู†ุง two-tailed test ู‡ู†ุฑุณู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ .. ู‡ู†ุฑุณู…
756
+
757
+ 190
758
+ 00:13:18,010 --> 00:13:21,370
759
+ ุงู„ุฑุณู…ุฉ ูˆ ู‡ู†ุดูˆู ุงู„ู„ูŠ ู‡ูŠ .. ู†ุฌูŠุจ ุงู„ critical values
760
+
761
+ 191
762
+ 00:13:21,370 --> 00:13:26,330
763
+ ู‡ูŠูƒูˆู† ููŠ ุทุฑูŠู‚ุฉ ุฌุฏูŠุฏุฉ ู„ุญุธุฉ ุจุงู„ู†ุณุจุฉ ู„ T statistic
764
+
765
+ 192
766
+ 00:13:26,330 --> 00:13:30,230
767
+ ุงู„ุดูƒู„ ุชุจุนู‡ ุฒูŠ ุงู„ Z ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุงู„
768
+
769
+ 193
770
+ 00:13:30,230 --> 00:13:33,310
771
+ difference ุจุณ ุจุงู„ุงุชู†ูŠู† ุจุฏู„ sigma ูˆ ุจูŠุจู‚ู‰ sigma
772
+
773
+ 194
774
+ 00:13:33,310 --> 00:13:39,050
775
+ ุจูŠู‚ุงุณ ูˆ ุงู„ informationis given x bar minus mu over
776
+
777
+ 195
778
+ 00:13:39,050 --> 00:13:42,150
779
+ s over square root of n ุทู„ุนุชูŠ ุงู„ statistic one
780
+
781
+ 196
782
+ 00:13:42,150 --> 00:13:45,590
783
+ point four six ุงู„ุงู† ุจุชุงู… ุนู†ุฏู‡ุง ุทู„ุน ู„ critical
784
+
785
+ 197
786
+ 00:13:45,590 --> 00:13:49,070
787
+ value ุงูˆ values in this case we are testing ู…ูŠูˆ
788
+
789
+ 198
790
+ 00:13:49,070 --> 00:13:50,470
791
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
792
+
793
+ 199
794
+ 00:13:50,470 --> 00:13:54,490
795
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
796
+
797
+ 200
798
+ 00:13:54,490 --> 00:14:00,370
799
+ ู…ูŠูˆ
800
+
801
+ 201
802
+ 00:14:01,230 --> 00:14:04,510
803
+ ุจุฏู„ ุงู„ Z table ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ู†ุทู„ุนู‡ุง ู…ู† ุงู„
804
+
805
+ 202
806
+ 00:14:04,510 --> 00:14:08,030
807
+ T table ูˆ ุงู„ T table ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ู…ูˆุฌูˆุฏ ุนู†ุฏูƒ ููŠ
808
+
809
+ 203
810
+ 00:14:08,030 --> 00:14:12,890
811
+ ุงู„ูƒุชุงุจ ููŠ page 282 ุจุณ ู†ูƒู…ู„ .. ุงูุชุญ ุงู„ูƒุชุงุจ .. ุงุฑุณู…
812
+
813
+ 204
814
+ 00:14:12,890 --> 00:14:15,470
815
+ ุงู„ุงุดูŠุงุก ูˆ ู‚ุจู„ ู…ุง ู†ุญูƒูŠ ุงุญู†ุง ุงู„ D ุฃูุชุญ .. ุงูุชุญ
816
+
817
+ 205
818
+ 00:14:15,470 --> 00:14:25,290
819
+ ุงู„ูƒุชุงุจ ู‚ุฑูŠุชู„ูƒูˆุง
820
+
821
+ 206
822
+ 00:14:25,290 --> 00:14:32,910
823
+ ูŠูุชุญ ุนู„ู‰ ุตูุญุฉ 282 ุงู„ู„ูŠ ููŠู‡ุง ุงู„ T tableุฃุฑุณู„ ุฑุณู…ุฉุŸ
824
+
825
+ 207
826
+ 00:14:32,910 --> 00:14:42,730
827
+ ุจุณ
828
+
829
+ 208
830
+ 00:14:42,730 --> 00:14:45,550
831
+ ุจุณ ุญู„ูˆูŠู† ู…ุจู‡ุฑูŠู† ุทูˆู„ุŸ ุฃู‡
832
+
833
+ 209
834
+ 00:14:54,020 --> 00:14:57,740
835
+ ุฒู…ูŠู„ุชูŠ ู‡ุชุจูŠู† ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ table ู…ู† ุดู‡ู„ุชุงู† ุฃุตุบุฑ
836
+
837
+ 210
838
+ 00:14:57,740 --> 00:15:00,320
839
+ ุญูƒูŠู†ุง ุฅู†ู‡ ุงู„ alternative hypothesis ุจู…ุง ุฅู†ู‡ not
840
+
841
+ 211
842
+ 00:15:00,320 --> 00:15:06,880
843
+ equal ูุงู†ุฏูŠ two ุชุงู„ุชุงุช ุงู„ุฑุณู… ู‡ูŠูƒ ู‡ุชูƒูˆู† ูˆุงุญุฏ
844
+
845
+ 212
846
+ 00:15:06,880 --> 00:15:10,900
847
+ ุงู„ู„ูŠ ู‡ูˆ ููŠ ุงู„ right side ูˆ ุงู„ left side ูˆู‡ู†ุง ุญูƒูŠู†ุง
848
+
849
+ 213
850
+ 00:15:10,900 --> 00:15:14,080
851
+ ุฅูŠุด ู‡ุฏูˆู„ ุงู„ critical values ุงู„ู„ูŠ ุฅุญู†ุง ู‡ู†ุฌูŠุจู‡ู… ู‡ุฏูˆู„
852
+
853
+ 214
854
+ 00:15:14,080 --> 00:15:20,300
855
+ ุงู„ู…ู†ุงุทู‚ ุงู„ุชู†ุชูŠู† ุฅูŠุด ุญูƒูˆู†ุงู‡ rejection region ูˆ ู‡ุฐู‡
856
+
857
+ 215
858
+ 00:15:20,300 --> 00:15:25,550
859
+ ุงู„ู…ู†ุทู‚ุฉ non rejection regionูˆุจู…ุง ุงู†ู‡ ุนู†ุฏูŠ ุงู„ alpha
860
+
861
+ 216
862
+ 00:15:25,550 --> 00:15:30,530
863
+ ู‚ุฏุงุด 0.05 ูˆุนู†ุฏูŠ two sides ูู‡ู† note ุฒูŠ ุงู„ alpha
864
+
865
+ 217
866
+ 00:15:30,530 --> 00:15:33,590
867
+ ู‡ุชูƒูˆู† ู‡ู†ุง alpha ุนู„ู‰ ุงุชู†ูŠู† ุงู„ probability ุชุจุนุชู‡ู…
868
+
869
+ 218
870
+ 00:15:33,590 --> 00:15:36,530
871
+ ู‡ูŠู† ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆู‡ูŠ ูƒู…ุงู† ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ู„ุฃู†ู‡ ุนู†ุฏูŠ
872
+
873
+ 219
874
+ 00:15:36,530 --> 00:15:40,350
875
+ two sides ุงู„ู„ูŠ ู‡ูˆ ู‚ุฏุงุด ุจุชุจู‚ู‰ 0.025
876
+
877
+ 220
878
+ 00:15:46,750 --> 00:15:50,230
879
+ ูุชุญุช ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุชุจุน ุงู„ T-table ุฃูˆู„ ุงู„ุดูŠุก ุฒูŠ ู…ุง
880
+
881
+ 221
882
+ 00:15:50,230 --> 00:15:53,950
883
+ ุงู†ุชูˆุง ุดุงูŠููŠู† ููŠ ุนู†ุฏู‡ู… T-table hands ุฅูŠุด ุงุณู…ู‡ุŸ ุงู„ู„ูŠ
884
+
885
+ 222
886
+ 00:15:53,950 --> 00:16:02,070
887
+ ู‡ูˆ DF ุตุญุŸ ู‡ุฐุง ุงู„ DF is equal DF ู‡ูŠ degree of
888
+
889
+ 223
890
+ 00:16:02,070 --> 00:16:07,400
891
+ freedomุงู„ู„ูŠ ู‡ูŠ ุจุงู„ุนุฑุจูŠ ุฏุฑุฌุฉ ุงู„ุญุฑูŠุฉ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ
892
+
893
+ 224
894
+ 00:16:07,400 --> 00:16:10,900
895
+ ู‚ุงู†ูˆู† ุซุงุจุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุงู† ู†ู‚ุต ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sample
896
+
897
+ 225
898
+ 00:16:10,900 --> 00:16:15,300
899
+ size minus one okay ุจู†ุฌูŠุจ ุงู„ุฏู‚ูŠู‚ุฉ ูุฃูˆู„ ุฅุดูŠ ุทุจุนุง
900
+
901
+ 226
902
+ 00:16:15,300 --> 00:16:22,320
903
+ ู„ุฅู†ู†ุง ุงู„ุงู† ู‚ุฏุงุด 25minus one ู‚ุฏุด ุจุทู„ุน 24 ู‡ู„ุฃ ูˆ ุงุญู†ุง
904
+
905
+ 227
906
+ 00:16:22,320 --> 00:16:26,600
907
+ ุจู†ุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุนู†ุฏูŠ ุงู†ุง two sides okay ู‡ู„ุฃ ู„ูˆ ุทู„ุนู†ุง
908
+
909
+ 228
910
+ 00:16:26,600 --> 00:16:30,680
911
+ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุจูŠุญูƒูŠู„ูŠ ู…ุนุทู„ูƒ ุงู†ู‡ table entry for B and
912
+
913
+ 229
914
+ 00:16:30,680 --> 00:16:35,020
915
+ C is the critical value T star with probability B
916
+
917
+ 230
918
+ 00:16:35,020 --> 00:16:38,460
919
+ lying to its right and probability C lying between
920
+
921
+ 231
922
+ 00:16:38,460 --> 00:16:43,880
923
+ minus T star and T star ู…ุนุทู„ูƒูŠ ุงู„ุฌุฏูˆู„ ุงู† ุงูˆู„ ุดูŠ
924
+
925
+ 232
926
+ 00:16:43,880 --> 00:16:47,380
927
+ ู‡ูŠู† ุงู„ DFุงู„ู„ูŠ ุงุญู†ุง ุญุณุจู†ุงู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ N minus one
928
+
929
+ 233
930
+ 00:16:47,380 --> 00:16:50,740
931
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชุฌูŠุจูŠ ู„ูŠู‡ุง ุงู„ DF N minus one ูˆ ุจูŠุญูƒูŠู„ูƒ
932
+
933
+ 234
934
+ 00:16:50,740 --> 00:16:54,240
935
+ ุงู…ุง ุจุชุฑูˆุญูŠ ุชุณุชุฎุฏู… ุงู„ .. ุงู„ upper tail probability
936
+
937
+ 235
938
+ 00:16:54,240 --> 00:16:59,140
939
+ ุงู„ B ู‡ุฐู‡ูƒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ B ุงูˆ ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ ุงู„
940
+
941
+ 236
942
+ 00:16:59,140 --> 00:17:02,140
943
+ ุงุญุชูŠุงุท ุงูˆ ุงุฐุง ูƒุงู† ุนู†ุฏูƒ ู…ูˆุฌุฉ ุจุตุงู„ุจ T ุฒูŠ ู…ุง ุงุญู†ุง
944
+
945
+ 237
946
+ 00:17:02,140 --> 00:17:05,100
947
+ ุนู†ุฏู†ุง ู…ูˆุฌุฉ ุจุตุงู„ุจ T ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ hand
948
+
949
+ 238
950
+ 00:17:05,100 --> 00:17:08,600
951
+ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ hand ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุจุฃุฎุฑ ุงู„ุฌุฏูˆู„ ุชุญุช
952
+
953
+ 239
954
+ 00:17:08,600 --> 00:17:13,340
955
+ ู…ู…ุชุงุฒ ุงู„ุงู† ุฒู…ูŠู„ุชูŠ ูƒุงู†ุช ุญุงูƒุชู‡ ูƒุงู†ุช ุชุงู„ูŠุฉุงู„ table
956
+
957
+ 240
958
+ 00:17:13,340 --> 00:17:17,400
959
+ ุงู„ู„ู‰ ุนู†ุฏู‰ ุงุณู…ู‡ T table ูˆุจูŠุนุทูŠ ุงู„ area to the right
960
+
961
+ 241
962
+ 00:17:17,400 --> 00:17:21,340
963
+ ุดุงูŠู ุงู„ุตูุฑุฉ ู‡ุฐู‡ ุงู„ู„ู‰ ู‡ู†ุง ู‡ุฐู‡ ุงู„ area to the right
964
+
965
+ 242
966
+ 00:17:21,340 --> 00:17:26,200
967
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ู‰ ู‡ู†ุง ุงู„ Z table ูƒุงู† ูŠุนุทูŠ ุงู„ area ู„ูˆูŠู†
968
+
969
+ 243
970
+ 00:17:26,200 --> 00:17:29,640
971
+ to the left ุงู„ T table to the right ุฅุฐุง ู†ู†ุณู‰ ุงู„ุขู†
972
+
973
+ 244
974
+ 00:17:29,640 --> 00:17:33,520
975
+ ุงู„ Z ุงู„ Z area to the left ุงู„ T table ุงู„ area to
976
+
977
+ 245
978
+ 00:17:33,520 --> 00:17:38,620
979
+ the right ุงู„ laws represent degrees of freedom
980
+
981
+ 246
982
+ 00:17:38,620 --> 00:17:42,770
983
+ ุฏุฑุฌุง๏ฟฝ๏ฟฝ ุงู„ุญุฑูŠุฉุฒูŠ ู…ุง ุญูƒุช degrees of freedom equals n
984
+
985
+ 247
986
+ 00:17:42,770 --> 00:17:45,750
987
+ minus one in this case we have sample size of
988
+
989
+ 248
990
+ 00:17:45,750 --> 00:17:48,350
991
+ twenty five so degrees of freedom of twenty five
992
+
993
+ 249
994
+ 00:17:48,350 --> 00:17:52,990
995
+ minus one which is twenty four so now two steps
996
+
997
+ 250
998
+ 00:17:52,990 --> 00:17:59,850
999
+ just locate the row of twenty four because degrees
1000
+
1001
+ 251
1002
+ 00:17:59,850 --> 00:18:04,870
1003
+ of freedom of twenty four and column of this
1004
+
1005
+ 252
1006
+ 00:18:04,870 --> 00:18:06,830
1007
+ probability which is point zero two five
1008
+
1009
+ 253
1010
+ 00:18:10,190 --> 00:18:16,050
1011
+ ุงู„ degrees of freedom ุจุนู…ู„ู‡ across ู…ุน ู…ูŠู† ู…ุน ุงู„
1012
+
1013
+ 254
1014
+ 00:18:16,050 --> 00:18:19,210
1015
+ probability which is point zero to five ุงุนู…ู„
1016
+
1017
+ 255
1018
+ 00:18:19,210 --> 00:18:25,630
1019
+ across ุงู„ู„ูŠ ู‡ูˆู† ุจุทู„ุน ุงู„ุฌูˆุงุจ ุจุทู„ุน ุงู„ุฌูˆุงุจ ู‡ุงูŠ ุงู„ู„ูŠ
1020
+
1021
+ 256
1022
+ 00:18:25,630 --> 00:18:32,010
1023
+ ู‡ูˆ zero two point zero two zero six four ุฅุฐุง
1024
+
1025
+ 257
1026
+ 00:18:32,010 --> 00:18:37,110
1027
+ ุงู„ุฌูˆุงุจ ุทู„ุน two point zero six four ุทุจุนุง
1028
+
1029
+ 258
1030
+ 00:18:37,110 --> 00:18:43,830
1031
+ ุนู†ุฏูŠ ู…ูˆุฌุจ ุณุงู„ุจ Tู„ู…ูŠู† ุงู„ DF 24 ูˆ ุงู„ probability
1032
+
1033
+ 259
1034
+ 00:18:43,830 --> 00:18:48,630
1035
+ ูƒุงู†ุช 0.025 ู‚ุฏุฑุงุช ุทุจุนุง ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ุจุณ ู‡ู… ู†ูุณ ุงู„ู‚ูŠู…ุฉ
1036
+
1037
+ 260
1038
+ 00:18:48,630 --> 00:18:51,870
1039
+ ู‡ุชูƒูˆู† ู„ุฅู†ู‡ normal distribution ุจุณ ูˆุงุญุฏุฉ ุจุงู„
1040
+
1041
+ 261
1042
+ 00:18:51,870 --> 00:18:59,190
1043
+ negative ูˆ ูˆุงุญุฏุฉ ุจุงู„ positive ู…ูˆุฌุฉ ุจุงู„ุณุงู„ุจ 2.64 6
1044
+
1045
+ 262
1046
+ 00:18:59,190 --> 00:19:05,690
1047
+ 4 ุตุญุŸ ู„ุฃ ู„ุฃ ุฃู‚ู„ 2 ุตุญูŠุญ ุจุณ ู‡ูŠูƒ ุตุญ ูŠุนู†ูŠ ุจุณ ุญุท ุงู„
1048
+
1049
+ 263
1050
+ 00:19:05,690 --> 00:19:12,120
1051
+ pointูˆุงุถุญ ู„ุงู† ุงู„ุฃูˆู„ู‰ two point zero six four ูˆ
1052
+
1053
+ 264
1054
+ 00:19:12,120 --> 00:19:19,200
1055
+ ุงู„ุชุงู†ู‰ ุฒูŠู‡ุง negative two point zero six four ู‡ุฏูˆู„
1056
+
1057
+ 265
1058
+ 00:19:19,200 --> 00:19:23,560
1059
+ ู‡ู… ุนู†ุฏูŠ ุทุจุนุง ู‡ุงูŠ ุงู„ู…ูˆุฌุฉ ุจุณุงู„ุจ ุงุชู†ูŠู† point zero six
1060
+
1061
+ 266
1062
+ 00:19:23,560 --> 00:19:34,420
1063
+ four ู‡ู… ุงูŠุด ุงู„ critical values ู‡ุฏูˆู„ ู‡ู‰
1064
+
1065
+ 267
1066
+ 00:19:34,420 --> 00:19:38,040
1067
+ ูƒู„ ุงูŠ ุงุนุตุฑู‡ู„ุฃ ุนู†ุฏ .. ุจู†ุฑุฌุน ู„ู„ูŠ ุฌูŠุจู†ุง .. ุงู„ู„ูŠ ู‡ูŠ ุงู„
1068
+
1069
+ 268
1070
+ 00:19:38,040 --> 00:19:40,860
1071
+ T statistic ุงู„ู„ูŠ ุฅุญู†ุง ุฌูŠุจู†ุงู‡ุง ู‡ูŠ one point four
1072
+
1073
+ 269
1074
+ 00:19:40,860 --> 00:19:44,100
1075
+ six ุจู†ุดูˆู ุฅุฐุง ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุจ rejection region ูˆู„ุง ุจุงู„
1076
+
1077
+ 270
1078
+ 00:19:44,100 --> 00:19:46,440
1079
+ non rejection region ุญุณุจ ู…ูŠู†ุŸ ุญุณุจ ุงู„ critical
1080
+
1081
+ 271
1082
+ 00:19:46,440 --> 00:19:50,160
1083
+ values ูˆูŠู† ู…ูˆุฌูˆุฏุฉุŸ ุงู„ู„ูŠ ู‡ูŠ one point four six ูˆูŠู†
1084
+
1085
+ 272
1086
+ 00:19:50,160 --> 00:19:52,260
1087
+ ู‡ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉุŸ ููŠ rejection .. ููŠ rejection region
1088
+
1089
+ 273
1090
+ 00:19:52,260 --> 00:19:54,860
1091
+ ูˆู„ุง non rejection regionุŸ non .. non rejection
1092
+
1093
+ 274
1094
+ 00:19:54,860 --> 00:20:00,060
1095
+ region ู„ุฃู†ู‡ุง ู‡ุชูƒูˆู† ู‡ุฐู‡ ุชู‚ุฑูŠุจุงone point four six
1096
+
1097
+ 275
1098
+ 00:20:00,060 --> 00:20:04,180
1099
+ ู‡ุชูƒูˆู† ููŠ ุงู„ non rejection region ูุจู…ุง ุฃู†ู‡ ู‡ูŠ ููŠ ุงู„
1100
+
1101
+ 276
1102
+ 00:20:04,180 --> 00:20:08,140
1103
+ non rejection region so we will ash don't reject
1104
+
1105
+ 277
1106
+ 00:20:08,140 --> 00:20:12,880
1107
+ ุงู„ู„ูŠ ู‡ูˆ ash ุงู„ non hypothesis ุจู†ุญูƒูŠ
1108
+
1109
+ 278
1110
+ 00:20:12,880 --> 00:20:16,020
1111
+ ู‡ุฐู‡ ุนู†ุฏ ุงู„ู„ูŠ ุจูŠุฃุชูŠ stat
1112
+
1113
+ 279
1114
+ 00:20:19,750 --> 00:20:25,610
1115
+ one less than ุงู„ู„ูŠ ู‡ูˆ two point between them is
1116
+
1117
+ 280
1118
+ 00:20:25,610 --> 00:20:35,870
1119
+ six part so four point major
1120
+
1121
+ 281
1122
+ 00:20:35,870 --> 00:20:35,990
1123
+ point
1124
+
1125
+ 282
1126
+ 00:20:39,670 --> 00:20:43,890
1127
+ ูˆุจู…ุง ุฃู†ู‡ ุงู„ .. ุฃู…ุง ู„ู…ุง ู†ุฌูŠ ู†ุนู…ู„ proof ู„ู„ .. ุงู„
1128
+
1129
+ 283
1130
+ 00:20:43,890 --> 00:20:46,590
1131
+ alternative hypothesis ู‡ู†ุญูƒูŠ ุฃู†ู‡ there is .. ุงู„ู„ูŠ
1132
+
1133
+ 284
1134
+ 00:20:46,590 --> 00:20:50,450
1135
+ ู‡ูˆ insufficient evidence that the true .. the true
1136
+
1137
+ 285
1138
+ 00:20:50,450 --> 00:20:54,510
1139
+ mean is different .. different from the given mean
1140
+
1141
+ 286
1142
+ 00:20:54,510 --> 00:21:00,050
1143
+ ุงู„ู„ูŠ ู‡ูˆ 168 ู…ู…ุชุงุฒุฉ ุทู„ุน ุฒู…ูŠู„ุชูƒ ุงู„ู„ูŠ ุนู…ู„ุชู‡ ุงู„ุดุบู„ุชูŠู†
1144
+
1145
+ 287
1146
+ 00:21:00,050 --> 00:21:05,120
1147
+ ูˆุฑุง ุจุนุถุฑู‚ู… ูˆุงุญุฏ ุญุณุจุช ุงู„ T statistic one point four
1148
+
1149
+ 288
1150
+ 00:21:05,120 --> 00:21:12,360
1151
+ six ุญุณุจุช ุงู„ critical values ู…ู† ุงู„ T table ูˆ ุงู„ T
1152
+
1153
+ 289
1154
+ 00:21:12,360 --> 00:21:16,780
1155
+ table ุงุณุชุฎุฏุงู…ู‡ ุณู‡ู„ ูˆูˆุฑุฏูƒูŠ ูŠุง ุจู† ุดูˆูŠุฉ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ
1156
+
1157
+ 290
1158
+ 00:21:16,780 --> 00:21:21,120
1159
+ ู‡ูˆ ุงูŠู‡ ุงู„ T table ููŠ ุงู„ T table ุฒูŠ ู…ุง ุญูƒูŠุช ู…ุฑุฉ
1160
+
1161
+ 291
1162
+ 00:21:21,120 --> 00:21:25,160
1163
+ ุชุงู†ูŠุฉ ุจุฑุทู„ุน degrees of freedom at one four ูˆ ุจุฏูˆุฑ
1164
+
1165
+ 292
1166
+ 00:21:25,160 --> 00:21:28,800
1167
+ ุนู„ู‰ ุงู„ probability of one zero two five ุทู„ุนุช ุงู„
1168
+
1169
+ 293
1170
+ 00:21:28,800 --> 00:21:33,170
1171
+ critical value two point zero six fourุฅุฐุง ุงู†ุชุธุฑ
1172
+
1173
+ 294
1174
+ 00:21:33,170 --> 00:21:38,670
1175
+ ุงูŠู‡ ุงู„ 2.064 ุงู„ู„ูŠูุชุด ู‡ุชูƒูˆู† negative 2.064 We
1176
+
1177
+ 295
1178
+ 00:21:38,670 --> 00:21:45,250
1179
+ reject if this statistic fall either to the upper
1180
+
1181
+ 296
1182
+ 00:21:45,250 --> 00:21:49,310
1183
+ side I mean greater than 2.064 ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„
1184
+
1185
+ 297
1186
+ 00:21:49,310 --> 00:21:54,030
1187
+ negative 2.064 Now is this value fall in the
1188
+
1189
+ 298
1190
+ 00:21:54,030 --> 00:22:00,050
1191
+ rejection regionุงู„ู€ 1.46 ุฃู‚ู„ ู…ู† 2.064 ู„ุฃู†ู‡ ูŠุชุฌุงูˆุฒ
1192
+
1193
+ 299
1194
+ 00:22:00,050 --> 00:22:03,730
1195
+ ุจูŠู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูŠู…. ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุง ู†ุชุฌุงูˆุฒ
1196
+
1197
+ 300
1198
+ 00:22:03,730 --> 00:22:09,110
1199
+ ุงู„ุญูŠุจูˆุชุณูŠุฒ. ุฅุฐุง ู‚ุฑุงุฑู†ุง ุงูŠุดุŸ ู„ุง ุชุชุฌุงูˆุฒุŒ ูู‡ูˆ ุตุญูŠุญ.
1200
+
1201
+ 301
1202
+ 00:22:09,730 --> 00:22:12,890
1203
+ ู„ุง ูŠูƒููŠ ู„ุญุงู„ู‡ุŒ ุนุงูŠุฒ ูŠุดุชุบู„ ู…ู† ุงู„ู†ุฌุงุฑูŠุฉ ุฅู„ู‰ ุงู„ู†ุชูŠุฌุฉ.
1204
+
1205
+ 302
1206
+ 00:22:13,650 --> 00:22:17,370
1207
+ ุงู„ู†ุชูŠุฌุฉุŒ ูƒู„ู…ุชูŠู† ุจุญูƒูŠู‡ู… ุฏุงุฆู…ุงุŒ ู…ูƒุฑุฑุงุช. ุทุงู„ู…ุง ุญูƒูŠุช
1208
+
1209
+ 303
1210
+ 00:22:17,370 --> 00:22:21,330
1211
+ ู„ุง ุชุชุฌุงูˆุฒุŒ ู…ุน ูƒุฏู‡ุŒ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฅุธู‡ุงุฑ ุฃู† ุงู„ู€
1212
+
1213
+ 304
1214
+ 00:22:21,330 --> 00:22:26,270
1215
+ true meanCost is different from 168 ูŠุนู†ูŠ ุงู„ุฅุฏุนุงุก
1216
+
1217
+ 305
1218
+ 00:22:26,270 --> 00:22:32,090
1219
+ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุฃู†ู‡ ูŠุฎุชู„ู ุนู† 168 ู…ุง ูŠุฏุนุจุŒ ู…ุงููŠุด ุฏู„ูŠู„
1220
+
1221
+ 306
1222
+ 00:22:32,090 --> 00:22:39,010
1223
+ ูƒุงููŠ ูŠุฏุนุจ ููŠ ุฃูŠ ุณุคุงู„ุŸ
1224
+
1225
+ 307
1226
+ 00:22:39,010 --> 00:22:42,150
1227
+ ููŠ ุงู„ T-testุŒ ุงู„ T-test depends on a new term
1228
+
1229
+ 308
1230
+ 00:22:42,150 --> 00:22:45,890
1231
+ called degrees of freedom ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉุŒ ุฃู†ุช ู…ุด
1232
+
1233
+ 309
1234
+ 00:22:45,890 --> 00:22:50,190
1235
+ ู…ุทู„ูˆุจ ู…ู†ูƒ ููŠ ุงู„ course of basic statisticsุชุนุฑู ุงูŠู‡
1236
+
1237
+ 310
1238
+ 00:22:50,190 --> 00:22:52,790
1239
+ ุงูƒุชุฑ ู…ู† degrees of freedom equals n-1
1240
+
1241
+ 311
1242
+ 00:22:57,220 --> 00:23:00,320
1243
+ ูˆุฃู†ุง ุจุฅู…ูƒุงู†ูŠ ุงุณุชุฎุฏุงู…ู‡ุง ูู‚ุท ู„ูƒุชุงุจุฉ ุงู„ู‚ูŠู…
1244
+
1245
+ 312
1246
+ 00:23:00,320 --> 00:23:03,100
1247
+ ุงู„ูƒุฑูŠุชู‚ุงู„ูŠุฉ ุฅุฐุง ุนุดุงู† ุชุนู…ู„ location ู„ู„ู‚ูŠู…
1248
+
1249
+ 313
1250
+ 00:23:03,100 --> 00:23:07,240
1251
+ ุงู„ูƒุฑูŠุชู‚ุงู„ูŠุฉ ุจู„ุฒู…ู†ูŠ ุดุบู„ุชูŠู† ูˆู‚ุฑุฑุช ุจู‚ู‰ ุชุงู„ุช ู…ุฑุฉ
1252
+
1253
+ 314
1254
+ 00:23:07,240 --> 00:23:11,880
1255
+ ุจู„ุฒู…ู†ูŠ ู…ูŠู† ุงู„ degrees of freedom ุงู„ู„ูŠ ู‡ูŠ 24 ุงู„ู„ูŠ
1256
+
1257
+ 315
1258
+ 00:23:11,880 --> 00:23:15,780
1259
+ ู‡ูŠ n-1 ูˆ ุงู„ probability ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง in this
1260
+
1261
+ 316
1262
+ 00:23:15,780 --> 00:23:20,060
1263
+ case Alpha is 5% ุฅุฐุง ุงู„ probability ู‡ุชูƒูˆู†ุจู‚ู‰ ุฌุณู…ู‡ุง
1264
+
1265
+ 317
1266
+ 00:23:20,060 --> 00:23:22,440
1267
+ ุนู„ู‰ ุงุชู†ูŠู† Zero to five ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ Zero to five
1268
+
1269
+ 318
1270
+ 00:23:22,440 --> 00:23:26,360
1271
+ ุนู„ู‰ ุงู„ุดุงุฑุน ุงู‡ ุงู„ alpha ุจุชูƒูŠ ูŠุนู†ู‰ ู„ูˆ ู…ุงู‚ุถู†ุด ุงู„
1272
+
1273
+ 319
1274
+ 00:23:26,360 --> 00:23:30,160
1275
+ alpha we assume alpha to be five percent any
1276
+
1277
+ 320
1278
+ 00:23:30,160 --> 00:23:36,280
1279
+ question ุงูŠ ุณุคุงู„ ู…ู…ูƒู† ุงู„ุฏูƒุชูˆุฑ ุจุฑุถู‡ ู‡ูŠ non
1280
+
1281
+ 321
1282
+ 00:23:36,280 --> 00:23:41,720
1283
+ rejection ู„ุฃู† ู‡ู†ุง 95 ููŠ ุชุญุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ minus ุชุดูˆู
1284
+
1285
+ 322
1286
+ 00:23:41,720 --> 00:23:48,430
1287
+ ุงู„ table ู…ู† ุชุญุช ุฎุงู„ุต ูŠุนุทูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ Z starุงู„ Z
1288
+
1289
+ 323
1290
+ 00:23:48,430 --> 00:23:52,210
1291
+ star ู‡ุฏูˆู„ ุงู„ Z ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุทุจุนุง ุงู„ T ูˆ ุงู„
1292
+
1293
+ 324
1294
+ 00:23:52,210 --> 00:23:56,730
1295
+ Z close to each other for large sample size ูŠุนู†ูŠ
1296
+
1297
+ 325
1298
+ 00:23:56,730 --> 00:24:00,630
1299
+ when the sample size gets bigger and bigger T
1300
+
1301
+ 326
1302
+ 00:24:00,630 --> 00:24:04,350
1303
+ becomes very small to Z ูŠุนู†ูŠ ู„ู…ุง N ุจุชูƒุจุฑ ูƒุชูŠุฑ
1304
+
1305
+ 327
1306
+ 00:24:04,350 --> 00:24:09,590
1307
+ ุจุชุตูŠุฑ ู‚ูŠู…ุฉ ุงู„ T ูˆ ู‚ูŠู…ุฉ ุงู„ Z ู…ุงู„ู‡ู… ุญูˆุงู„ูŠู† ุจุนุถ ุชู„ุงุญุธ
1308
+
1309
+ 328
1310
+ 00:24:09,590 --> 00:24:14,240
1311
+ ู‡ู†ุง ู„ู…ุง ุงู„ degree of freedom 1000ุทู„ุน ุนู„ู‰ ู‚ูŠู…ุฉ T
1312
+
1313
+ 329
1314
+ 00:24:14,240 --> 00:24:17,920
1315
+ ุงู„ุณุทุฑ ุงู„ู„ูŠ ุฌุงุจู†ูŠ ุงู„ุฃุฎูŠุฑ ูˆุงู„ุณุทุฑ ุงู„ุฃุฎูŠุฑ ุงู„ูุฑู‚ ุจูŠู†ู‡ู…
1316
+
1317
+ 330
1318
+ 00:24:17,920 --> 00:24:25,720
1319
+ ู…ุงู„ู‡ ุจุณูŠุท ุงู„ุฃูˆู„ ู‚ูŠู…ุฉ 0.675 ู„ุชุญุช ูƒุฏู‡ุŸ 0.674 ู‡ุฐุง
1320
+
1321
+ 331
1322
+ 00:24:25,720 --> 00:24:31,580
1323
+ ู„ุชุญุช Z ูููŠ ุญุงู„ุฉ ุชุจุนุชู†ุง ุงุฐุง ุชุฐูƒุฑ ู„ู…ุง ูƒุงู†ุช ุงู„ Z star
1324
+
1325
+ 332
1326
+ 00:24:31,580 --> 00:24:37,560
1327
+ 1.96 ู‡ู†ุง job 1.962ูุงู„ุตู„ุงุฉ ุงู„ุฃุฎูŠุฑุฉ ุจูŠุจูŠู† ู„ูŠ ู‚ุฏ ุฅูŠุด
1328
+
1329
+ 333
1330
+ 00:24:37,560 --> 00:24:41,640
1331
+ ู‚ุฑูŠุจ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุงู„ Z ู…ู† ุชูˆุฒูŠุน ุงู„ T ุฅุฐุง as N
1332
+
1333
+ 334
1334
+ 00:24:41,640 --> 00:24:45,720
1335
+ gets bigger and bigger ุจูŠูƒูˆู† ุงู„ T ู…ุงู„ู‡ ู‚ุฑูŠุจ ู…ู† ุงู„
1336
+
1337
+ 335
1338
+ 00:24:45,720 --> 00:24:51,160
1339
+ Z ูŠุนู†ูŠ ู„ู…ุง N ูƒุจูŠุฑุฉ ุจูŠูƒูˆู† ู‚ูŠู…ุฉ ุงู„ T ุชู‚ุฑูŠุจุง ู†ูุณ ู‚ูŠู…ุฉ
1340
+
1341
+ 336
1342
+ 00:24:51,160 --> 00:25:01,060
1343
+ ุงู„ Z ุจุณ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃูŠ ุณุคุงู„ุŸ
1344
+
1345
+ 337
1346
+ 00:25:01,060 --> 00:25:07,050
1347
+ ูƒู… ู„ู‡ุง ุฏู‡ุŸุงู„ุจุนุฏ ู‡ูˆ to use the t-test must assume
1348
+
1349
+ 338
1350
+ 00:25:07,050 --> 00:25:10,310
1351
+ the population is normal ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู†ู‡ ููŠ ู„ุงุฒู…
1352
+
1353
+ 339
1354
+ 00:25:10,310 --> 00:25:12,750
1355
+ ุงู†ู‡ ู†ูุชุฑุถ ุงู†ู‡ ุงู„ population is normal
1356
+
1357
+ 340
1358
+ 00:25:12,750 --> 00:25:15,970
1359
+ distribution, follows normal distribution ุจูŠุญูƒูŠู„ูŠูƒ
1360
+
1361
+ 341
1362
+ 00:25:15,970 --> 00:25:18,770
1363
+ ุนู„ู‰ ุฅุดูŠ as long as the sample size is not very
1364
+
1365
+ 342
1366
+ 00:25:18,770 --> 00:25:22,750
1367
+ small and the population is not very skewed, the t
1368
+
1369
+ 343
1370
+ 00:25:22,750 --> 00:25:26,960
1371
+ -test can be usedุณุจู‚ ูˆุญูƒูŠู†ุง ุงุญู†ุง ู‚ุจู„ ู‡ูŠูƒ ุงู†ู‡ ูƒู„ ู…ุง
1372
+
1373
+ 344
1374
+ 00:25:26,960 --> 00:25:30,480
1375
+ ุงู„ sample size ูƒุจุฑุช ูƒู„ ู…ุง ูƒุงู† ุนู†ุฏู‰ ุญุฌู… ุงู„ุนูŠู†ุฉ ุงูƒุจุฑ
1376
+
1377
+ 345
1378
+ 00:25:30,480 --> 00:25:33,620
1379
+ ูƒู„ ู…ุง ู‚ุฑุจุช ุงู†ู‡ุง ุจูŠูƒูˆู† ุดูƒู„ู‡ุง ุจูŠุจุฏุฃ ูŠุชูˆุฒุน ุงูƒุชุฑ
1380
+
1381
+ 346
1382
+ 00:25:33,620 --> 00:25:35,800
1383
+ ูุจุงู„ุชุงู„ูŠ ุจุชู‚ุฑุจ ุงู†ู‡ ู‡ูŠ ุชุตูŠุฑ normal distribution
1384
+
1385
+ 347
1386
+ 00:25:35,800 --> 00:25:41,060
1387
+ ุงูƒุชุฑ ูุจูŠุญูƒูŠู„ูƒ ุงู†ู‡ ุงุญู†ุง ูƒู„ ู…ุง ุญุฌู… ุงู„ุนูŠู†ุฉ ูƒุจุฑ ูุงู„
1388
+
1389
+ 348
1390
+ 00:25:41,060 --> 00:25:43,280
1391
+ population ู‡ูŠูƒูˆู† ุงูƒุชุฑ ุงู‚ุฑุจ ู„ ุงู„ normal
1392
+
1393
+ 349
1394
+ 00:25:43,280 --> 00:25:46,840
1395
+ distribution ูุจู†ู‚ุฏุฑ ุงู†ู‡ ู†ุณุชุฎุฏู… ุงู„ T test ูˆ ุจุนุฏ ู‡ูŠูƒ
1396
+
1397
+ 350
1398
+ 00:25:46,840 --> 00:25:51,690
1399
+ ุญูƒู‰ ู„ูƒ ุงู„ู„ูŠ ู‡ูˆ .. ุงู†ุง ูˆุงุถุญู‡ุง ุฏูŠ ุงูƒุชุฑุงู„ุดุฑุท ุงู„ุฃุณุงุณูŠ
1400
+
1401
+ 351
1402
+ 00:25:51,690 --> 00:25:54,850
1403
+ ุนุดุงู† ุงุณุชุฎุฏู…ุชูŠู‡ ุงู† ูŠูƒูˆู† ุนู†ุฏู‡ normal distribution is
1404
+
1405
+ 352
1406
+ 00:25:54,850 --> 00:25:58,410
1407
+ satisfied ุนุดุงู† ุฃุถู…ู† normal distribution ู„ุงุฒู… ุงู„
1408
+
1409
+ 353
1410
+ 00:25:58,410 --> 00:26:02,150
1411
+ sample size ูŠูƒูˆู† not very small ูŠุนู†ูŠ ุงูŠุด ุนูƒุณ not
1412
+
1413
+ 354
1414
+ 00:26:02,150 --> 00:26:05,630
1415
+ very smallุŸ large .. large .. ู‡ุฐู‡ ูˆุงุญุฏุŒ ุงู„ุญุงู„ุฉ
1416
+
1417
+ 355
1418
+ 00:26:05,630 --> 00:26:07,990
1419
+ ุงู„ุชุงู†ูŠุฉ and the population is not very skewed
1420
+
1421
+ 356
1422
+ 00:26:07,990 --> 00:26:11,990
1423
+ ู…ุงูŠูƒูˆู†ุด ู…ู„ุชูˆูŠ ูŠู…ูŠู† ุฃูˆ ุดู…ุงู„ ุจุฏุฑุฌุฉ ูƒุจูŠุฑุฉ ูŠุนู†ูŠ ู…ู…ูƒู†
1424
+
1425
+ 357
1426
+ 00:26:11,990 --> 00:26:14,950
1427
+ ูŠูƒูˆู† ููŠู‡ ุงู„ุชูˆุงุก ุดูˆูŠุฉ ู„ูƒู† ู…ุงูŠูƒูˆู†ุด ุงู„ุชูˆุงุก ุจุฏุฑุฌุฉ
1428
+
1429
+ 358
1430
+ 00:26:14,950 --> 00:26:19,930
1431
+ ูƒุจูŠุฑุฉุŒ ู„ุฐุง ููŠ ุญุงู„ุฉ sample size is large enoughor
1432
+
1433
+ 359
1434
+ 00:26:19,930 --> 00:26:22,830
1435
+ population is not very skewed either to the right
1436
+
1437
+ 360
1438
+ 00:26:22,830 --> 00:26:25,870
1439
+ or to the left in this case we can assume the
1440
+
1441
+ 361
1442
+ 00:26:25,870 --> 00:26:29,830
1443
+ population is normal and go ahead using T test ุฅุฐุง
1444
+
1445
+ 362
1446
+ 00:26:29,830 --> 00:26:33,330
1447
+ ุจุณุชุฎุฏู… T ููŠ ู‡ุฏูˆู„ ุงู„ุญุงู„ุชูŠู† how can we evaluate
1448
+
1449
+ 363
1450
+ 00:26:33,330 --> 00:26:38,950
1451
+ normality as we did before in section 6.3 either
1452
+
1453
+ 364
1454
+ 00:26:38,950 --> 00:26:43,710
1455
+ by using histogram ornormal probability but we can
1456
+
1457
+ 365
1458
+ 00:26:43,710 --> 00:26:47,150
1459
+ evaluate if the data is normally distributed ุฎุฏู†ุง
1460
+
1461
+ 366
1462
+ 00:26:47,150 --> 00:26:51,690
1463
+ ุฌุจู„ ู‡ูŠูƒ ุงู„ุงู† ููŠ ู†ู‚ุทุฉ ุงู†ุง ู‡ุดุฑุญู‡ุง ุงู„ู„ูŠ ู‡ูŠ .. ุงู„ู„ูŠ
1464
+
1465
+ 367
1466
+ 00:26:51,690 --> 00:26:55,330
1467
+ ุงุดุฑุญู‡ุง ููŠ ุฒู…ูŠู„ุชูŠ ุงู„ critical value approach ุทุฑูŠู‚ุฉ
1468
+
1469
+ 368
1470
+ 00:26:55,330 --> 00:26:58,810
1471
+ ุงู„ critical value ู‚ูŠุงู… ุงู„ุญุฑุฌุฉ ููŠ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ุงุณู…ู‡ุง
1472
+
1473
+ 369
1474
+ 00:26:58,810 --> 00:27:03,050
1475
+ ูŠุงุด ุงู„ B value approach ู‚ูŠู…ุฉ ุงู„ B value ุฒูŠ ู…ุง
1476
+
1477
+ 370
1478
+ 00:27:03,050 --> 00:27:07,050
1479
+ ุงุณุชุฎุฏู…ู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุงู„ุงู† ุจุฏูŠ ุฃูƒูŠุฏ ุงู†ุช ู„ุญุงู„ูƒ
1480
+
1481
+ 371
1482
+ 00:27:07,050 --> 00:27:11,930
1483
+ ู…ุนุงูƒูŠ ุฏู‚ูŠู‚ุชูŠู†ุงุชุทู„ุนูŠู„ูŠ ู‚ูŠู…ุฉ ุงู„ู€ P value ู…ู† ุงู„ table
1484
+
1485
+ 372
1486
+ 00:27:11,930 --> 00:27:15,050
1487
+ ู‡ุฐุง
1488
+
1489
+ 373
1490
+ 00:27:15,050 --> 00:27:18,670
1491
+ ุงู„ slide ู…ุด ุนู†ุฏูƒ .. ู…ุด ููŠ ุงู„ูƒุชุงุจ ู…ูˆุฌูˆุฏุฉ ู‡ุฐุง ุงู„
1492
+
1493
+ 374
1494
+ 00:27:18,670 --> 00:27:21,490
1495
+ slide ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุถู…ู† ุงู„ slides ุงู„ู„ูŠ ู…ุนุงูƒ ู‡ุฐุง ุงู„
1496
+
1497
+ 375
1498
+ 00:27:21,490 --> 00:27:24,810
1499
+ slide ุจุชุญูƒูŠ ุนู† ุงู„ P value approach ุงู†ุช ุญุณุจูŠ ู„ูŠู‡ ู‡ูŠ
1500
+
1501
+ 376
1502
+ 00:27:24,810 --> 00:27:30,630
1503
+ ุจูŠุฏูƒ ุงู„ุขู† ุจุญูƒูŠ ู„ู„ูƒู„ ุทู„ุนูŠ ูˆุฑู‚ุฉ ุตุบูŠุฑุฉ ูˆุงุญุณุจูŠ ู‚ูŠู…ุฉ ุงู„
1504
+
1505
+ 377
1506
+ 00:27:30,630 --> 00:27:34,650
1507
+ P value ู„ู„ test ุงู„ู„ูŠ ุทู„ุนุช ู‚ูŠู…ุชู‡ one point four six
1508
+
1509
+ 378
1510
+ 00:27:34,650 --> 00:27:38,350
1511
+ ุญุงูˆู„ูŠ ู‡ุชุทู„ุนูŠ ุงู„ุฌูˆุงุจ ู„ู„ P value approach
1512
+
1513
+ 379
1514
+ 00:27:41,430 --> 00:27:44,570
1515
+ ุฃูˆู„ ู…ุง ูŠุฎุจุฑ ุงู„ุทุงู„ุจ ุจุฃู† P-Value ู‡ูˆ one point ูู‡ู†ุงูƒ
1516
+
1517
+ 380
1518
+ 00:27:44,570 --> 00:27:51,170
1519
+ ุดูŠุก ุบู„ุท ู„ุฃู† P-Value ุจูŠู† 0 ูˆ 1 ุทุจุนุง
1520
+
1521
+ 381
1522
+ 00:27:51,170 --> 00:27:57,670
1523
+ P-Value ู‡ูŠ probability ุจูŠู† 0 ูˆ 1 ุทูŠุจุŒ
1524
+
1525
+ 382
1526
+ 00:27:57,670 --> 00:28:00,210
1527
+ ู‡ู„ ูŠู…ูƒู† ุฃุญุฏ ุฃู† ูŠุฑูŠู†ูŠ ูƒูŠู ุฃุฎุฑุฌ ุงู„ู„ูˆุญุฉุŸ
1528
+
1529
+ 383
1530
+ 00:28:16,430 --> 00:28:20,030
1531
+ ุทูŠุจ ุฎู„ู‘ูŠู†ูŠ ุฃุญู„ู‡ุง ูˆ ุฃุดูˆู ุงู„ุฎุทุฃ ุนู†ุฏูƒ ุจูŠู† ุงู„ู…ูˆุถูˆุน
1532
+
1533
+ 384
1534
+ 00:28:20,030 --> 00:28:30,610
1535
+ ุฑูƒุฒูŠ ู…ุนุงูŠุง ุงู„ู…ูŠูˆ ู…ุงู„ู‡ุง ู…ุงุชุณูˆูŠุด 168 ูŠุนู†ูŠ one-tailed
1536
+
1537
+ 385
1538
+ 00:28:30,610 --> 00:28:39,150
1539
+ ูˆู„ุง two-tailedุŸ two-tailed ุงุฐุง
1540
+
1541
+ 386
1542
+ 00:28:39,150 --> 00:28:39,710
1543
+ ุงู„ B value
1544
+
1545
+ 387
1546
+ 00:28:42,580 --> 00:28:53,700
1547
+ ู†ุญู† ู†ุจุญุซ ุนู† ุงุนุชู‚ุงุฏ T ุฅู…ุง ุฃู† ูŠุณู‚ุท ููŠ ู‡ุฐุง ุงู„ุฌุงู†ุจ
1548
+
1549
+ 388
1550
+ 00:28:53,700 --> 00:29:02,420
1551
+ ุงู„ุตุญูŠุญุŒ ุงู„ุขู† ู‚ูŠู…ุฉ ุชุงุนุชู‚ุงุฏ T ู‡ูŠ 1.46ุŒ ู„ุฐู„ูƒ ุฃูƒุชุฑ ู…ู†
1552
+
1553
+ 389
1554
+ 00:29:02,420 --> 00:29:11,470
1555
+ 1.46. ุงู„ุฃู† ุจู…ุง ุฃู†ู†ุง ู†ุชุญุฏุซ ุนู† ุชุฌุงุฑุจ 2Dุชูƒูˆู† ู‡ู†ุงูƒ
1556
+
1557
+ 390
1558
+ 00:29:11,470 --> 00:29:17,410
1559
+ ุงุชูุงู‚ูŠู† ู…ู† ุงู„ู…ู†ุงุทู‚ ูˆุงุญุฏ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ูˆุงู„ุขุฎุฑ
1560
+
1561
+ 391
1562
+ 00:29:17,410 --> 00:29:23,170
1563
+ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ
1564
+
1565
+ 392
1566
+ 00:29:23,170 --> 00:29:27,570
1567
+ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰
1568
+
1569
+ 393
1570
+ 00:29:27,570 --> 00:29:33,050
1571
+ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1
1572
+
1573
+ 394
1574
+ 00:29:33,050 --> 00:29:35,950
1575
+ .46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰
1576
+
1577
+ 395
1578
+ 00:29:35,950 --> 00:29:38,850
1579
+ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1
1580
+
1581
+ 396
1582
+ 00:29:38,850 --> 00:29:42,300
1583
+ .46 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 1.46ุฅุฐุง ููŠ ุงู„ู€ two-sided ุฃูˆ ุงู„ู€
1584
+
1585
+ 397
1586
+ 00:29:42,300 --> 00:29:47,300
1587
+ two-tailed test ุจุทู„ุน ูˆุงุญุฏุฉ ูˆ ุจุถุฑุจ ููŠ ุงุชู†ูŠู† ู‡ูŠ
1588
+
1589
+ 398
1590
+ 00:29:47,300 --> 00:29:52,580
1591
+ ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† B T greater than plus B of T smaller
1592
+
1593
+ 399
1594
+ 00:29:52,580 --> 00:29:59,160
1595
+ than negative ุจุณ ู‡ุฏูˆู„ ุฒูŠ ุจุนุถ ูุจุงุฎุฏ ูˆุงุญุฏุฉ ูˆ ุจุถุฑุจ ููŠ
1596
+
1597
+ 400
1598
+ 00:29:59,160 --> 00:30:03,700
1599
+ ุงุชู†ูŠู† ู„ุฃู†
1600
+
1601
+ 401
1602
+ 00:30:03,700 --> 00:30:05,740
1603
+ ุงู„ table ุงู„ู…ุนู†ู‰ ุจูŠุนุทูŠ ู„ู†ุง to the right
1604
+
1605
+ 402
1606
+ 00:30:08,780 --> 00:30:12,560
1607
+ most likely the table will not give the exact
1608
+
1609
+ 403
1610
+ 00:30:12,560 --> 00:30:19,880
1611
+ result of B value because T of 1.46 is not exactly
1612
+
1613
+ 404
1614
+ 00:30:19,880 --> 00:30:26,200
1615
+ in the table if you look at 24 now we are looking
1616
+
1617
+ 405
1618
+ 00:30:26,200 --> 00:30:35,000
1619
+ for 1.46 we locate 24 degrees of freedom ูˆุจุฏูˆุฑ ุนู„ู‰
1620
+
1621
+ 406
1622
+ 00:30:35,000 --> 00:30:46,350
1623
+ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู…ูŠู†ุงู„ู‚ูŠู…ุฉ 1.46 ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุงู†ุง
1624
+
1625
+ 407
1626
+ 00:30:46,350 --> 00:30:53,570
1627
+ ุญุณุจุชู‡ุง ุงู‚ุฑุจ
1628
+
1629
+ 408
1630
+ 00:30:53,570 --> 00:30:59,250
1631
+ 1.318
1632
+
1633
+ 409
1634
+ 00:31:01,670 --> 00:31:03,810
1635
+ ุฅุฐุง ู…ุนู†ุงู‡ุง ูƒุฏู‡ ุงู„ุฌูˆุงุจ ู‡ุชุทู„ุน ู…ุนุงู‡ุง exact ูˆู„ุง
1636
+
1637
+ 410
1638
+ 00:31:03,810 --> 00:31:08,510
1639
+ approximate resultุŸ approximate ุฅุฐุง ุฏู„ูˆู‚ุชูŠ ุชูŠ ุชูŠุจู„
1640
+
1641
+ 411
1642
+ 00:31:08,510 --> 00:31:11,970
1643
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1644
+
1645
+ 412
1646
+ 00:31:11,970 --> 00:31:12,170
1647
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1648
+
1649
+ 413
1650
+ 00:31:12,170 --> 00:31:12,630
1651
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1652
+
1653
+ 414
1654
+ 00:31:12,630 --> 00:31:15,370
1655
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1656
+
1657
+ 415
1658
+ 00:31:15,370 --> 00:31:15,590
1659
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1660
+
1661
+ 416
1662
+ 00:31:15,590 --> 00:31:16,630
1663
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏุฑ
1664
+
1665
+ 417
1666
+ 00:31:16,630 --> 00:31:30,250
1667
+ ุชู‚ุฏุฑ ุชู‚ุฏุฑ ุชู‚ุฏ
1668
+
1669
+ 418
1670
+ 00:31:30,720 --> 00:31:35,880
1671
+ ุฅูŠุด ุจุชุณุงูˆูŠุŸ two times point one equals point two
1672
+
1673
+ 419
1674
+ 00:31:35,880 --> 00:31:41,340
1675
+ one more time to get your b value there are two
1676
+
1677
+ 420
1678
+ 00:31:41,340 --> 00:31:45,940
1679
+ steps first we have two sided or two tailed test
1680
+
1681
+ 421
1682
+ 00:31:45,940 --> 00:31:49,660
1683
+ so my b value equals b of t greater than one point
1684
+
1685
+ 422
1686
+ 00:31:49,660 --> 00:31:53,480
1687
+ four six or smaller than negative one point four
1688
+
1689
+ 423
1690
+ 00:31:53,480 --> 00:31:58,880
1691
+ six these two areas are the same are equalุจู†ูƒู…ู„ ูƒู„
1692
+
1693
+ 424
1694
+ 00:31:58,880 --> 00:32:04,380
1695
+ ูˆุงุญุฏุฉ ู…ู†ู‡ุง ูˆู†ุฒูŠู„ู‡ุง ุจู€ 2 ู„ุฐู„ูƒ ู†ุณุชุฎุฏู… just T ุฃูƒุชุฑ
1696
+
1697
+ 425
1698
+ 00:32:04,380 --> 00:32:07,280
1699
+ ู…ู†ู‡ุง ู„ุฃู† ุงู„ุทุงุจู‚ ูŠุฏูุน ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑ ุฅุฐุง
1700
+
1701
+ 426
1702
+ 00:32:07,280 --> 00:32:12,100
1703
+ ุจุงุฎุฏ ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจุณ ุจุฏูˆุฑ ุนู„ู‰ 1.466 ุงู„ู€ exact
1704
+
1705
+ 427
1706
+ 00:32:12,100 --> 00:32:18,420
1707
+ ู…ุด ู…ูˆุฌูˆุฏุฉ ุจุงุฎุฏ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู‡ุง ุฃู‚ุฑุจ ู‚ูŠู…ุฉ 1.318 ุจุนู…ู„
1708
+
1709
+ 428
1710
+ 00:32:18,420 --> 00:32:22,910
1711
+ cross ู…ุน ุงู„ุญู‚ ู…ุน ุงู„ lineู…ุน ุงู„ู€ column ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ
1712
+
1713
+ 429
1714
+ 00:32:22,910 --> 00:32:27,050
1715
+ ุจูŠุทู„ุน point 10 ูุงู„ P value ุจุชุณุงูˆูŠ 2 ู…ุงู†ุณุงุด ุงู„ุฅุซู†ูŠู†
1716
+
1717
+ 430
1718
+ 00:32:27,050 --> 00:32:33,650
1719
+ ุงู„ุฅุซู†ูŠู† ุฅุฌุช ู…ู† ูˆูŠู†ุŸ ุนุดุงู† ุงู„ 2 ุชุงู„ุช times point 10
1720
+
1721
+ 431
1722
+ 00:32:33,650 --> 00:32:38,950
1723
+ ุงู„ุฌูˆุงุจ ุทูˆู„ู‡ ุงู‚ุชุจุงู„ universal now decision rule if
1724
+
1725
+ 432
1726
+ 00:32:38,950 --> 00:32:47,400
1727
+ P value this is our rule if P valueุฃู‚ู„ ู…ู† ุงู„ู€
1728
+
1729
+ 433
1730
+ 00:32:47,400 --> 00:32:50,840
1731
+ Alpha ุฅุฐุง ู‚ูŠู…ุฉ B ุฃู‚ู„ ู…ู† ุงู„ู€ Alpha ูู†ุญู† ู†ู‚ูุฒ ู…ู†
1732
+
1733
+ 434
1734
+ 00:32:50,840 --> 00:32:58,040
1735
+ ุงู„hypothesis ู†ู‚ูุฒ ุฅู„ุง ุฃู†ู†ุง ู„ุง ู†ู‚ูุฒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1736
+
1737
+ 435
1738
+ 00:32:58,040 --> 00:33:06,000
1739
+ ู‚ูŠู…ุฉ B ู…ู† ุงู„ู€ 0.20% ู‡ูŠ ุฃูƒุชุฑ ู‡ูŠ ุฃูƒุชุฑ ู…ู† Alpha ูู‡ุฐุง
1740
+
1741
+ 436
1742
+ 00:33:06,000 --> 00:33:14,720
1743
+ ุฃูƒุชุฑ ู…ู† Alpha ู…ู† 5% ู„ุฐู„ูƒ ู„ุง ู†ู‚ูุฒ
1744
+
1745
+ 437
1746
+ 00:33:36,530 --> 00:33:42,310
1747
+ ุจุฅู…ูƒุงู†ูƒ ุงุณุชุฎุฏุงู… ุจุฑุงู…ุฌ ุญุตุงุฆูŠุฉ ุฌุงู‡ุฒุฉ ุชุนุทูŠูƒ ุงู„ู€ exact
1748
+
1749
+ 438
1750
+ 00:33:42,310 --> 00:33:42,830
1751
+ result
1752
+
1753
+ 439
1754
+ 00:33:46,800 --> 00:33:52,740
1755
+ around point one five seven point one five seven
1756
+
1757
+ 440
1758
+ 00:33:52,740 --> 00:33:59,280
1759
+ ู‡ุฐ ุงู„ exact answer ู†ุญู† ู…ุด ู‡ุชุทู„ุน ุงู„ exact ู†ู‡ุงุฆูŠุงุŒ
1760
+
1761
+ 441
1762
+ 00:33:59,280 --> 00:34:02,980
1763
+ ู‡ุชุทู„ุน ุงู„ approximate value ุฎู„ุงุตุŸ ุฅุฐุง ู‡ุงูŠ ุงู„ two
1764
+
1765
+ 442
1766
+ 00:34:02,980 --> 00:34:05,680
1767
+ approaches to reject or don't reject the null
1768
+
1769
+ 443
1770
+ 00:34:05,680 --> 00:34:10,080
1771
+ hypothesis ุทูŠุจ ุงู„ู„ูŠ ู‚ุงู„ ุฌุงูŠ ุจุงุฎุฏ ุงู„ one tipุŒ
1772
+
1773
+ 444
1774
+ 00:34:10,080 --> 00:34:14,460
1775
+ ุฐุงูƒุฑูŠู† ุงูŠู‡ ุจูˆุŸ ุฎู„ุงุตุŸ
1776
+
1777
+ 445
1778
+ 00:34:14,460 --> 00:34:16,080
1779
+ ู…ุด ู…ุดูƒู„ุฉุŒ ุจูƒุฑุง ุจู†ูƒู…ู„ ุงู† ุดุงุก ุงู„ู„ู‡
1780
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/OL_FykDI_WQ_postprocess.srt ADDED
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1
+ 1
2
+ 00:00:20,690 --> 00:00:24,690
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ูˆู…ู† ุซู… ุณุฃูƒู…ู„ ุงู„ู…ูˆุถูˆุน ุงู„ุฃุฎูŠุฑ
4
+
5
+ 2
6
+ 00:00:24,690 --> 00:00:31,370
7
+ ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุฏุณุฉ ูˆุงู„ุชูŠ ุชุชุนุงู…ู„ ู…ุน ุนุงุฏูŠุฉ ุนุงุฏูŠุฉ ูŠุนู†ูŠ
8
+
9
+ 3
10
+ 00:00:31,370 --> 00:00:37,210
11
+ ูƒูŠู ุจุฏุฃ ุฃุนุฑู ุฅู† ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ ู…ุด ุทุจูŠุนูŠุŸ ุฒูŠ ู…ุง
12
+
13
+ 4
14
+ 00:00:37,210 --> 00:00:39,090
15
+ ุญูƒูŠู†ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุนุฉุŒ ู„ูŠุณ ูƒู„ ุงู„ู…ูˆุงุตูุงุช ุงู„ู…ุณุชู…ุฑุฉ
16
+
17
+ 5
18
+ 00:00:39,090 --> 00:00:45,050
19
+ ุนุงุฏูŠุฉ ุนุงุฏูŠุฉ ูŠุนู†ูŠ ุฑุจู…ุง ุงู„ุจูŠุงู†ุงุช ุงู„ุชูŠ ู„ุฏูŠู†ุง ู„ูŠุณุช
20
+
21
+ 6
22
+ 00:00:45,050 --> 00:00:50,650
23
+ ุนุงุฏูŠุฉ ุฃูˆ ุนุงุฏูŠุฉุชู‚ุฑุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชุนู…ุฑุฉ ุฃูˆ
24
+
25
+ 7
26
+ 00:00:50,650 --> 00:00:55,510
27
+ ู„ุง ูŠูˆุฌุฏ ุจุนุถ ุงู„ู‚ูˆุงุนุฏ ู„ุชู‚ุฑุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช
28
+
29
+ 8
30
+ 00:00:55,510 --> 00:01:03,230
31
+ ู…ุณุชุนู…ุฑุฉ ุฃูˆ ู…ุณุชุนู…ุฑุฉ ุชู‚ุฑูŠุจู‹ุง ู†ุนุฑู ุฃู† ุงู„ู…ุณุชุนู…ุฑ
32
+
33
+ 9
34
+ 00:01:03,230 --> 00:01:06,650
35
+ ุงู„ู…ุณุชุนู…ุฑ ูŠุจุฏูˆ ู…ุซู„ ุจุงู„ุดูŠุจุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู…ุชุณุงูˆู… ุญูˆู„
36
+
37
+ 10
38
+ 00:01:06,650 --> 00:01:11,830
39
+ ุงู„ู…ูŠุงู† ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฌู…ูŠุน ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุฑูƒุฒูŠุฉ
40
+
41
+ 11
42
+ 00:01:11,830 --> 00:01:15,890
43
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู†
44
+
45
+ 12
46
+ 00:01:15,890 --> 00:01:17,090
47
+ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู†
48
+
49
+ 13
50
+ 00:01:17,090 --> 00:01:17,230
51
+ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู†
52
+
53
+ 14
54
+ 00:01:17,230 --> 00:01:20,220
55
+ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชู„ู„ุชู†ู…ูŠุฉ ุงู„ุทุจูŠุนูŠุฉุŒ
56
+
57
+ 15
58
+ 00:01:20,220 --> 00:01:28,500
59
+ ูŠู…ูƒู†ู†ุง ุชุทุจูŠู‚ ุงู„ู‚ูˆุงุนุฏ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชูŠ ู‡ูŠ 6895 ูˆ99.7%
60
+
61
+ 16
62
+ 00:01:28,500 --> 00:01:31,620
63
+ ูˆุฃูŠุถู‹ุง
64
+
65
+ 17
66
+ 00:01:31,620 --> 00:01:32,980
67
+ ุนู…ู„ ุงู„ุชู†ู…ูŠุฉ ุงู„ุทุจูŠุนูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
68
+
69
+ 18
70
+ 00:01:32,980 --> 00:01:36,280
71
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
72
+
73
+ 19
74
+ 00:01:36,280 --> 00:01:36,680
75
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
76
+
77
+ 20
78
+ 00:01:36,680 --> 00:01:38,340
79
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
80
+
81
+ 21
82
+ 00:01:38,340 --> 00:01:40,640
83
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
84
+
85
+ 22
86
+ 00:01:40,640 --> 00:01:43,840
87
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌ
88
+
89
+ 23
90
+ 00:01:44,830 --> 00:01:55,850
91
+ ูˆู‡ูˆ Q3-Q1 ูŠุฌุจ ุฃู† ูŠูƒูˆู† 1.33 ุณูŠุฌู…ุง ุงุฐุง IQR ูŠู‚ู„ 1.33
92
+
93
+ 24
94
+ 00:01:55,850 --> 00:02:01,170
95
+ ุณูŠุฌู…ุง ููŠู…ูƒู†ูƒ ุงู† ุชู‚ูˆู„ ุงู† ุงู„ุจูŠุงู†ุงุช ู…ุณุชุนู…ู„ุฉ ุจุดูƒู„ ุนุงู…
96
+
97
+ 25
98
+ 00:02:01,170 --> 00:02:07,750
99
+ ูู‡ูˆ ูƒูŠู ู†ุณุชุนู…ู„ ุงู„ุชุนุงู…ู„ ุจุดูƒู„ ุนุงู…
100
+
101
+ 26
102
+ 00:02:15,250 --> 00:02:20,690
103
+ ุจุงู„ุฅุถุงูุฉ ู†ุณุชุทูŠุน ุฃู† ู†ุตู†ุน ุฑู‚ู…ูŠู† ู„ุฏูŠู†ุง ููŠ ุงู„ูˆุงู‚ุน
104
+
105
+ 27
106
+ 00:02:20,690 --> 00:02:25,510
107
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
108
+
109
+ 28
110
+ 00:02:25,510 --> 00:02:26,290
111
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
112
+
113
+ 29
114
+ 00:02:26,290 --> 00:02:30,090
115
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
116
+
117
+ 30
118
+ 00:02:30,090 --> 00:02:30,270
119
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
120
+
121
+ 31
122
+ 00:02:30,270 --> 00:02:30,510
123
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
124
+
125
+ 32
126
+ 00:02:30,510 --> 00:02:36,030
127
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
128
+
129
+ 33
130
+ 00:02:36,030 --> 00:02:40,670
131
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุช
132
+
133
+ 34
134
+ 00:02:43,350 --> 00:02:47,610
135
+ ู†ุญู† ู†ุชูƒู„ู… ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ูู‚ุท ุจุงูƒุณ ุจู„ูˆุช ูู†ุฑูƒุฒ ุนู„ู‰
136
+
137
+ 35
138
+ 00:02:47,610 --> 00:02:52,490
139
+ ุจุงูƒุณ ุจู„ูˆุช ู„ุชุญู‚ู‚ ุงู„ุณูŠู…ุงุชุฑูŠุฉ ู„ุฐู„ูƒ ู„ุฌู‡ุฉ ุตุบูŠุฑุฉ ูˆู…ุฏุฑุนุฉ
140
+
141
+ 36
142
+ 00:02:52,490 --> 00:02:56,730
143
+ ู…ู† ุงู„ุจูŠุงู†ุงุช ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… ุจุงูƒุณ ุจู„ูˆุช ูˆู†ุนุฑู ุฃู† ุฅุฐุง
144
+
145
+ 37
146
+ 00:02:56,730 --> 00:03:02,610
147
+ ูƒุงู†ุช ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุตุทู„ุญ ูˆุงู„ุฃุตุบุฑ ู‡ูŠ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู†
148
+
149
+ 38
150
+ 00:03:02,610 --> 00:03:06,830
151
+ ุงู„ู…ุตุทู„ุญ ูˆุงู„ุฃูƒุจุฑ ูู†ุณุชุทูŠุน ุฃู† ู†ู‚ูˆู„ ุฅู† ุงู„ุจูŠุงู†ุงุช ุนุงู…ุฉ
152
+
153
+ 39
154
+ 00:03:06,830 --> 00:03:10,790
155
+ ูˆู…ุดุงุฑูƒุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฐู„ูƒ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุขุฎุฑ ุฅุฐุง
156
+
157
+ 40
158
+ 00:03:10,790 --> 00:03:12,470
159
+ ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ูƒุงููŠุฉ
160
+
161
+ 41
162
+ 00:03:14,670 --> 00:03:19,250
163
+ ุจุนุฏ ุฐู„ูƒ ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ู‡ูŠุณุชุฌุฑุงู… ุฅุฐุง ูƒุงู† ุงู„ู‡ูŠุณุชุฌุฑุงู…
164
+
165
+ 42
166
+ 00:03:19,250 --> 00:03:22,070
167
+ ูŠุจุฏูˆ ู…ุซู„ ุจูŠู„ุดูŠู ููŠู…ูƒู†ูƒ ุฃู† ุชู‚ูˆู„ ุฃู† ุงู„ุจูŠุงู†ุงุช ุนุงู…ุฉ
168
+
169
+ 43
170
+ 00:03:22,070 --> 00:03:26,310
171
+ ู…ูˆุงุตู„ุฉ ุจุงู„ู†ุณุจุฉ ู„ู†ุง ุจุฅุถุงูุฉ ุฃู†ู†ุง ู†ุณุชุฎุฏู… ุจุนุถ
172
+
173
+ 44
174
+ 00:03:26,310 --> 00:03:33,390
175
+ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุชุตุฑูŠุญูŠุฉ ู…ุซู„ ู…ูŠู†ุŒ ู…ูŠุฏูŠุง ูˆู…ูˆุฏ ูŠุฌุจ ุฃู†
176
+
177
+ 45
178
+ 00:03:33,390 --> 00:03:38,670
179
+ ุชูƒูˆู† ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุดุงุฑูƒุฉ ู…ุน ู‚ูŠู… ู…ุดุงุฑูƒุฉ ูƒู…ุง
180
+
181
+ 46
182
+ 00:03:38,670 --> 00:03:45,160
183
+ ุฐูƒุฑู†ุง ุฃูŠุถุงุฃุชุณุฃู„ ู†ูุณูƒ ู‡ู„ IQR ุชู‚ุฑูŠุจู‹ุง 1.33 ุณูŠุฌู…ุงุŸ
184
+
185
+ 47
186
+ 00:03:45,160 --> 00:03:53,660
187
+ ู†ุญู† ุฃูŠุถู‹ุง ู„ุฏูŠู†ุง ุงู„ูˆุถุน ุงู„ู„ูŠ ู‡ูˆ ุฃูƒุจุฑ ุฃูˆ ุฃูƒุจุฑ ู…ู† ุฃู‚ู„
188
+
189
+ 48
190
+ 00:03:53,660 --> 00:03:59,560
191
+ ู…ู† ุฃู‚ู„ ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุงู„ูุชุฑุฉ ุฃู‚ู„ 6 ุณูŠุฌู…ุงุŒ ูู‡ู†ุงูƒ
192
+
193
+ 49
194
+ 00:03:59,560 --> 00:04:02,340
195
+ ุฃูŠุถู‹ุง ุชูˆุฒูŠุน ุทุจูŠุนูŠุŒ ู„ุฐู„ูƒ ู„ุฏูŠู†ุง ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู‚ูˆุงู†ูŠู†
196
+
197
+ 50
198
+ 00:04:02,340 --> 00:04:08,100
199
+ ู„ุชุญู‚ู‚ ุฃูˆ ุชุญู‚ู‚ ุทุจูŠุนูŠ ู…ุฌู…ูˆุนุฉ ุฃุณุงุณูŠุฉ
200
+
201
+ 51
202
+ 00:04:11,060 --> 00:04:13,700
203
+ ุจุฅู…ูƒุงู†ู†ุง ุฃูŠุถู‹ุง ุฃู† ู†ุณุชุฎุฏู… ุงู„ู‚ูˆุงุนุฏ ุงู„ุงู†ุจุนุงุซูŠุฉ ุฅุฐุง
204
+
205
+ 52
206
+ 00:04:13,700 --> 00:04:18,220
207
+ ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชุนู…ู„ุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฃู† ุชู‚ุฑูŠุจู‹ุง
208
+
209
+ 53
210
+ 00:04:18,220 --> 00:04:24,240
211
+ ุชู‚ุฑูŠุจู‹ุง ุชู‚ุฑูŠุจู‹ุง ุชู‚ุฑูŠุจู‹ุง ุชู‚ุฑูŠุจู‹ุง 68%
212
+
213
+ 54
214
+ 00:04:32,190 --> 00:04:37,010
215
+ ุงู„ู‚ูŠู… ุฃูˆ ู‚ูŠู… ุงู„ุจูŠุงู†ุงุช ุฃูˆ ุงู„ู…ู„ุงุญุธุงุช ู…ูˆุฌูˆุฏุฉ ููŠ ูˆุงุญุฏ
216
+
217
+ 55
218
+ 00:04:37,010 --> 00:04:40,570
219
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุนุงู…ุฉ ุฃูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุนุงู…ุฉ
220
+
221
+ 56
222
+ 00:04:40,570 --> 00:04:48,790
223
+ ู…ู† ุงู„ู…ุฌุชู…ุน ุŒ ู„ุฐู„ูƒ ู†ุนุฑู 68% ูˆู†ุนุฑู 95% 95% ู…ู†
224
+
225
+ 57
226
+ 00:04:48,790 --> 00:04:54,270
227
+ ุงู„ู…ู„ุงุญุธุงุช ู…ูˆุฌูˆุฏุฉ ููŠ 2 ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู† ุงู„ู…ุฌุชู…ุน
228
+
229
+ 58
230
+ 00:04:56,000 --> 00:05:00,320
231
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุฃุฎูŠุฑุฉ ู„ุชุญูƒูŠ
232
+
233
+ 59
234
+ 00:05:00,320 --> 00:05:03,000
235
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชู‚ูŠู…ุฉ ุจุดูƒู„ ุนุงุฏู„ ูŠู…ูƒู†ู†ุง ุชุญู‚ูŠู‚
236
+
237
+ 60
238
+ 00:05:03,000 --> 00:05:06,700
239
+ ุดูŠุก ูŠุณู…ู‰ Normal Probability Plot ู„ุฐู„ูƒ ุณุฃุนุทูŠูƒู… ุงู„ู€
240
+
241
+ 61
242
+ 00:05:06,700 --> 00:05:10,320
243
+ Plot ุจู…ุดุงู‡ุฏุฉ ุงู„ู€ Plot ูŠู…ูƒู†ูƒ ุฃู† ุชู‚ูˆู„ ุฅู† ุงู„ู…ุนู„ูˆู…ุงุช
244
+
245
+ 62
246
+ 00:05:10,320 --> 00:05:12,380
247
+ ุจุดูƒู„ ุนุงุฏูŠ ุจุดูƒู„ ุนุงุฏู„ ู‚ุงุนุฏุฉ ุงู„ู€ Rule of Thumb
248
+
249
+ 63
250
+ 00:05:12,380 --> 00:05:16,900
251
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ู„ูŠ ุจู†ุดุชุบู„ ุนู„ูŠู‡ุง ู‡ู„ ุงู„ู€ Probability Plot
252
+
253
+ 64
254
+ 00:05:16,900 --> 00:05:21,020
255
+ ุนุงุฏู„ ุจุดูƒู„ ุนุงุฏู„ุŸ ุฅุฐุง ุงู„ุฑุณู… ุงู„ู„ูŠ ุฃุนุทูŠูƒูŠู‡ุง ุดูƒู„ ุฎุท
256
+
257
+ 65
258
+ 00:05:21,020 --> 00:05:23,500
259
+ ู…ุณุชู‚ูŠู… ุซู…
260
+
261
+ 66
262
+ 00:05:25,030 --> 00:05:28,810
263
+ ุจุฅู…ูƒุงู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ุงู„ุจูŠุงู†ุงุช ู…ุณุชุนู…ู„ุฉ ุจุดูƒู„ ุนุงู… ูˆูŠุฌุจ
264
+
265
+ 67
266
+ 00:05:28,810 --> 00:05:34,190
267
+ ุฃู† ุชูƒูˆู† ุงู„ุฎุทูˆุฉ ู…ุณุชุนู…ู„ุฉ ุจุฎุทูˆุท ู…ููŠุฏุฉ ูู‡ุฐุง ุงู„ู€
268
+
269
+ 68
270
+ 00:05:34,190 --> 00:05:38,070
271
+ probability plot ุนุงู… ุณุฃุนุทูŠูƒ ุงู„ู€ plot ุซู… ูู‚ุท ุงู†ุธุฑ
272
+
273
+ 69
274
+ 00:05:38,070 --> 00:05:41,250
275
+ ุฅู„ู‰ ุงู„ุจูŠุงู†ุงุช ุฅุฐุง ูƒุงู†ุช ุงู„ู†ู‚ุทุฉ ุชุชุฌู‡ ุฅู„ู‰ ุฎุทูˆุท ู…ุณุชุนู…ู„ุฉ
276
+
277
+ 70
278
+ 00:05:41,250 --> 00:05:49,670
279
+ ุจุฎุทูˆุท ู…ููŠุฏุฉ ุจุฎุทูˆุท ู…ููŠุฏุฉ ูŠุนู†ูŠ ุฃู† ุงู„ุฎุทูˆุท ุชุชุฌู‡ ู…ู†ู…ู†
280
+
281
+ 71
282
+ 00:05:49,670 --> 00:05:53,270
283
+ ุงู„ุฃุณูู„ ุฅู„ู‰ ุงู„ุฃุนู„ู‰ ููŠ ู‡ุฐู‡ ุงู„ุงุชุฌุงู‡ุฉ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง
284
+
285
+ 72
286
+ 00:05:53,270 --> 00:05:58,250
287
+ ู„ุฏูŠู†ุง ู…ุณุชู‚ุจู„ ู…ูŠู„ูŠ ู…ูˆุฌุจ ุชุนุฑู ู‡ุฐุง ู…ูŠู„ูŠ ู…ูˆุฌุจ ู…ุด ู‡ูŠูƒ
288
+
289
+ 73
290
+ 00:05:58,250 --> 00:06:03,690
291
+ ู‡ุฐุง ุฎุท ู…ุณุชู‚ูŠู… ู…ูŠู„ูŠ ู…ูˆุฌุจ ู„ุฏูŠู‡ ู…ุณุชู‚ุจู„ ู…ูŠู„ูŠ ู…ูˆุฌุจ ุฅุฐุง
292
+
293
+ 74
294
+ 00:06:03,690 --> 00:06:05,810
295
+ ูƒุงู†ุช ุงู„ุจุฑูˆุจูŠู„ุชุจู„ุงุช ุนุงุฏูŠุฉ ุชุจุฏูˆ ู…ุซู„ ู‡ุฐู‡ ุงู„ู„ุญุธุฉ
296
+
297
+ 75
298
+ 00:06:05,810 --> 00:06:10,410
299
+ ุงู„ุตุญูŠุญุฉ ุฃุนู†ูŠ ุฃู† ุงู„ูˆุถุน ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุฅู…ุง ููŠ ุงู„ู„ุญุธุฉ ุฃูˆ
300
+
301
+ 76
302
+ 00:06:10,410 --> 00:06:13,850
303
+ ู‚ุฑูŠุจ ุฌุฏู‹ุง ู…ู† ุงู„ู„ุญุธุฉ ุซู… ุจุฅู…ูƒุงู†ูƒ ุฃู† ุชู‚ูˆู„ ุฃู† ุงู„ุจูŠุงู†ุงุช
304
+
305
+ 77
306
+ 00:06:13,850 --> 00:06:18,400
307
+ ุนุงุฏูŠุฉ ู…ุณุชุนู…ู„ุฉ ู„ุฏูŠู†ุง ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ู‚ูˆุงู†ูŠู†in order to
308
+
309
+ 78
310
+ 00:06:18,400 --> 00:06:21,060
311
+ determine if the data is normally distributed or
312
+
313
+ 79
314
+ 00:06:21,060 --> 00:06:26,980
315
+ not ุฅุฐุง ุงู„ู…ู„ุฎุต ุงู„ุขู† ููŠ ุนู†ุฏูŠ ู‚ุฏุฉ ู‚ูˆุงุนุฏ ู„ู„ุญูƒู… ุฅู† ุงู„
316
+
317
+ 80
318
+ 00:06:26,980 --> 00:06:31,660
319
+ data is normal ู…ู†ู‡ุง ุดูŠ ุฑุณู… ูˆุดูŠ ุญุณุงุจุงุช ุงู„ุญุณุงุจุงุช
320
+
321
+ 81
322
+ 00:06:31,660 --> 00:06:35,660
323
+ ุณู‡ู„ุฉ ุฃู† ุงู„ IQR ุจูŠุณุงูˆูŠ 1.33 ุณูŠุฌู…ุง ูˆ ุงู„ range 6
324
+
325
+ 82
326
+ 00:06:35,660 --> 00:06:39,080
327
+ ุณูŠุฌู…ุง ูˆ ุงู„ mean ูˆ ุงู„ median ูˆ ุงู„ mod ู…ุงู„ู‡ู… ุญูˆุงู„ูŠู†
328
+
329
+ 83
330
+ 00:06:39,080 --> 00:06:41,640
331
+ ุจุนุถ ู‡ุฏูˆู„ ุงู„ measures
332
+
333
+ 84
334
+ 00:06:46,560 --> 00:06:54,960
335
+ ุงู„ู…ู‡ู… ู‡ูˆ 68.95% ูˆ99.7% ุชู†ุณู‰ ุญูˆุงู„ูŠ 80% ูŠู‚ูˆู„ ุฃู† 80%
336
+
337
+ 85
338
+ 00:06:54,960 --> 00:06:59,260
339
+ ู…ู† ุงู„ุจูŠุงู†ุงุช ู…ูˆุฌูˆุฏุฉ ููŠ 1.28% ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู† ุงู„ู…ูŠุงู†ุฉ
340
+
341
+ 86
342
+ 00:06:59,260 --> 00:07:09,580
343
+ ูู‚ุท ู†ุฑูƒุฒ ุนู„ู‰ 68.95% ูˆ99.7% ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
344
+
345
+ 87
346
+ 00:07:09,580 --> 00:07:12,520
347
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
348
+
349
+ 88
350
+ 00:07:12,520 --> 00:07:12,540
351
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
352
+
353
+ 89
354
+ 00:07:12,540 --> 00:07:12,900
355
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
356
+
357
+ 90
358
+ 00:07:12,900 --> 00:07:15,100
359
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู„ู„ุฎุทูˆุท ุงู„ุตุบูŠุฑุฉ ูˆุงู„ุตุบูŠุฑุฉ ูŠู…ูƒู†ู†ุง
360
+
361
+ 91
362
+ 00:07:15,100 --> 00:07:19,220
363
+ ุงุณุชุฎุฏุงู… ุจุงูƒุณ ุจู„ุงุช ู„ุจูŠุงู†ุงุช ูƒุจูŠุฑุฉ ูŠุณุชุฎุฏู… ุงู„ู‡ูŠุณุชุฌุฑุงู…
364
+
365
+ 92
366
+ 00:07:19,220 --> 00:07:22,240
367
+ ุจุงู„ุฅุถุงูุฉ ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ุดูŠุก ูŠุณู…ู‰ ุจูŠุงู†ุงุช ุนุงุฏูŠุฉ
368
+
369
+ 93
370
+ 00:07:22,240 --> 00:07:25,100
371
+ ุงุณุชุฎุฏุงู… ุงู„ู‡ูŠุณุชุฌุฑุงู… ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชุณู‚ุท ุนู„ู‰ ุญุงู„ุฉ
372
+
373
+ 94
374
+ 00:07:25,100 --> 00:07:30,360
375
+ ุฃุณู„ูˆุจ ู…ุน ูƒู„ุง ุงู„ู‡ูŠุณุชุฌุฑุงู… ูŠุณุชุฎุฏู… ุจูŠุงู†ุงุช ุนุงุฏูŠุฉ
376
+
377
+ 95
378
+ 00:07:30,360 --> 00:07:33,900
379
+ ุงุณุชุฎุฏุงู… ุงู„ู‡ูŠุณุชุฌุฑุงู… ู‡ุฐุง ูƒู„ ุดูŠุก ู„ูƒูŠู ู†ุณุชุฎุฏู… ุนุงุฏูŠุฉ
380
+
381
+ 96
382
+ 00:07:33,900 --> 00:07:34,860
383
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช
384
+
385
+ 97
386
+ 00:07:34,860 --> 00:07:38,960
387
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช
388
+
389
+ 98
390
+ 00:07:38,960 --> 00:07:43,370
391
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจNormal
392
+
393
+ 99
394
+ 00:07:43,370 --> 00:07:48,450
395
+ probability plot looks like linear ู…ุธุจูˆุท ุงู„ุดูƒู„
396
+
397
+ 100
398
+ 00:07:48,450 --> 00:07:53,370
399
+ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจุง ุฎุท ู…ุณุชู‚ูŠู…ูŠ ุนู„ู‰ ุงู„ points ุนู„ู‰ ุงู„ุฎุท
400
+
401
+ 101
402
+ 00:07:53,370 --> 00:07:58,330
403
+ ุจุนุฏูŠู† ุจุธ ููŠ ุงู„ slope ู…ุนู†ุงู‡ ูƒุฏู‡ is normal ุงุฐุง a
404
+
405
+ 102
406
+ 00:07:58,330 --> 00:08:02,510
407
+ normal probability plotููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ุจูŠุงู†ุงุช ู…ู†
408
+
409
+ 103
410
+ 00:08:02,510 --> 00:08:07,730
411
+ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ุณุชูƒูˆู† ุชู‚ุฑูŠุจุง ุฎุท ู…ุณุชู‚ูŠู…ุŒ ู„ูŠุณ ุชู‚ุฑูŠุจุง ุฎุท
412
+
413
+ 104
414
+ 00:08:07,730 --> 00:08:12,170
415
+ ู…ุณุชู‚ูŠู…ุŒ ู„ูƒู† ุชู‚ุฑูŠุจุง ุฎุท ู…ุณุชู‚ูŠู…ุŒ ูˆุงุถุญุŸ ู…ุด ุจุฏูˆุฑู‡ุง ุฎุท
416
+
417
+ 105
418
+ 00:08:12,170 --> 00:08:15,630
419
+ ุจุงู„ุธุจุท ุฎุท ู…ุณุชู‚ูŠู…ุŒ ู„ูƒู† ู‡ุฐุง ู…ุนู†ุงู‡ ุฃู† ุงู„ู€points ู…ู…ูƒู†
420
+
421
+ 106
422
+ 00:08:15,630 --> 00:08:20,090
423
+ ุชูƒูˆู† ุนู„ู‰ ุงู„ู€line ู…ู…ูƒู† ุดูˆูŠู‡ ุฃุนู„ู‰ุŒ ุจุณ ุงู„ู€deviation
424
+
425
+ 107
426
+ 00:08:20,090 --> 00:08:24,870
427
+ from the point to the straight line is smallูŠุนู†ูŠ
428
+
429
+ 108
430
+ 00:08:24,870 --> 00:08:28,370
431
+ ุงู†ุญุงู ุนู† ุงู„ุฎุท ู…ุณุชู‚ูŠู… ุจูŠู† ุงู„ data ูˆุงู„ุฎุท ูŠูƒูˆู† ู…ุงู„ู‡
432
+
433
+ 109
434
+ 00:08:28,370 --> 00:08:32,030
435
+ ุตุบูŠุฑ ู…ุง ูƒุฏู‡ ุงู„ data is normally distributed now if
436
+
437
+ 110
438
+ 00:08:32,030 --> 00:08:37,070
439
+ you look at these three graphs now none of them
440
+
441
+ 111
442
+ 00:08:37,070 --> 00:08:42,550
443
+ has a straight line one of them left skewed
444
+
445
+ 112
446
+ 00:08:42,550 --> 00:08:46,370
447
+ because the left tail is longer here so the left
448
+
449
+ 113
450
+ 00:08:46,370 --> 00:08:50,770
451
+ one is called left skewed the other graph also is
452
+
453
+ 114
454
+ 00:08:50,770 --> 00:08:56,050
455
+ not linearูˆุงู„ุทุฑูŠู‚ ุงู„ูŠุณ ุฃูƒุชุฑ ู…ู† ุงู„ุทุฑูŠู‚ ุงู„ูŠุณุฑู‰ ู„ุฐู„ูƒ
456
+
457
+ 115
458
+ 00:08:56,050 --> 00:09:02,990
459
+ ูŠุชุฌู‡ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ูŠุณุฑู‰ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง ุจูŠู„ ุดูŠุจุช ู‡ุฐุง
460
+
461
+ 116
462
+ 00:09:02,990 --> 00:09:07,410
463
+ ูŠุนู†ูŠ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู†ุณุจุฉ ุนุงุฏูŠุฉ ูุฅุฐุง
464
+
465
+ 117
466
+ 00:09:07,410 --> 00:09:11,110
467
+ ุงู„ุจูŠุงู†ุงุช ู„ู„ู†ุณุจุฉ ู„ู†ุณุจุฉ ุนุงุฏูŠุฉ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ุงุชุฌุงุฑุงุช
468
+
469
+ 118
470
+ 00:09:11,110 --> 00:09:14,270
471
+ ุงู„ุตุญูŠุญุฉ ู…ุน ู…ุฌู…ูˆุนุฉ ุจูˆุฒูˆุฒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง
472
+
473
+ 119
474
+ 00:09:14,270 --> 00:09:17,910
475
+ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ููŠ ุงู„ุซุงู†ูˆูŠุฉ ุงู„ููŠุฏูŠูˆู‡ุงุช ุงู„ุฃุฎุฑู‰
476
+
477
+ 120
478
+ 00:09:17,910 --> 00:09:21,670
479
+ ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุฅู…ุง ุงุชุฌุงุฑุฉ ุงู„ูŠุณุฑู‰ ุฃูˆ ุงุชุฌุงุฑุฉ ุงู„ูŠุณุฑู‰
480
+
481
+ 121
482
+ 00:09:24,120 --> 00:09:28,900
483
+ ุงู„ุงุฎูŠุฑ ูŠุดุจู‡ ุดูŠุก ูŠุณู…ู‰ S-curve S-curve ู„ูŠุณ ู„ูŠู†ูŠุงุฑุŒ
484
+
485
+ 122
486
+ 00:09:28,900 --> 00:09:34,840
487
+ ุดูƒู„ ุญุฑู ุงู„ู€S ูŠุณู…ู‰ ุฑูƒุชุงู†ุฌูˆู„ุงุฑุŒ ู„ูŠุณ ู„ูŠู†ูŠุงุฑุŒ ู„ุฐู„ูƒ
488
+
489
+ 123
490
+ 00:09:34,840 --> 00:09:38,760
491
+ ูŠุดุจู‡ ุชู†ู‚ู„ ู…ู† ุงู„ุทุจูŠุนุฉ ุฅุฐุง ุนู„ู‰ ุฃุณุงุณ ูŠูƒูˆู† ุฎุท ู…ุณุชู‚ูŠู…ุŒ
492
+
493
+ 124
494
+ 00:09:38,760 --> 00:09:44,420
495
+ ุฃุณุงุณ ูŠูƒูˆู† ุทุจูŠุนุฉ ู„ุงุฒู… ูŠูƒูˆู† ุฎุท ู…ุณุชู‚ูŠู… ุฒูŠ ู‡ูŠูƒ ุฃูˆ ู‚ุฑูŠุจ
496
+
497
+ 125
498
+ 00:09:44,420 --> 00:09:50,580
499
+ ู…ู† ุฎุท ู…ุณุชู‚ูŠู… ุฃูŠ ุดูƒู„ ุชุงู†ูŠ ู…ุนู†ุงู‡ ุฅูŠุดุŸู†ุงู† ู„ูŠู†ูŠุงุฑ ุจุณ
500
+
501
+ 126
502
+ 00:09:50,580 --> 00:09:53,220
503
+ ู„ุฃ ุฅุฐุง ูƒุงู† ู†ุงู† ู„ูŠู†ูŠุงุฑ ูŠุฌุจ ุฃู† ู†ุนุฑู ุฅุฐุง ูƒุงู† ู„ูุช ุฃูˆ
504
+
505
+ 127
506
+ 00:09:53,220 --> 00:09:58,460
507
+ ุฑุงูŠุช ุณูƒูˆุช ู„ูุช ูŠุนู†ูŠ ุฃู† ุงู„ู€ left tail is longer than
508
+
509
+ 128
510
+ 00:09:58,460 --> 00:10:02,540
511
+ the right tail and for right skewed right tail is
512
+
513
+ 129
514
+ 00:10:02,540 --> 00:10:06,300
515
+ longer than the left tail. So that's all for
516
+
517
+ 130
518
+ 00:10:06,300 --> 00:10:10,040
519
+ evaluating normality. I will give a specific
520
+
521
+ 131
522
+ 00:10:10,040 --> 00:10:12,960
523
+ example in order to determine if the data is
524
+
525
+ 132
526
+ 00:10:12,960 --> 00:10:20,200
527
+ normal or not by using these rules.ุงู„ุขู†ุŒ ุฅุฐุง ูƒุงู†
528
+
529
+ 133
530
+ 00:10:20,200 --> 00:10:23,620
531
+ ูˆุงุญุฏ ู…ู† ู‡ุฐู‡ ุงู„ู‚ูˆุงุนุฏ ู…ุฎุงุทุฑุŒ ูุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ู…ุณุชุนู…ุฑุฉ
532
+
533
+ 134
534
+ 00:10:23,620 --> 00:10:26,620
535
+ ุจุดูƒู„ ุนุงู…ุŒ ูŠุนู†ูŠ ู„ูˆ ูˆุงุญุฏ ู…ู† ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ู…ุด
536
+
537
+ 135
538
+ 00:10:26,620 --> 00:10:30,700
539
+ ู…ุชุญู‚ู‚ุŒ ู…ุน ูƒุฏู‡ ุงู„ุจูŠุงู†ุงุช ู…ุด ุนุงู…ุฉุŒ ูŠุนู†ูŠ ู…ุงููŠุด ุฌุงุน
540
+
541
+ 136
542
+ 00:10:30,700 --> 00:10:35,020
543
+ ูŠุญุณุจ ูƒู„ ู‡ุฏูˆู„ ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ู…ุŒ ูˆุงุญุฏุฉ ู…ู†ู‡ู… is enough
544
+
545
+ 137
546
+ 00:10:35,020 --> 00:10:38,100
547
+ in order to determine if the data is normal ูˆุงุถุญ
548
+
549
+ 138
550
+ 00:10:38,100 --> 00:10:42,440
551
+ ูŠุนู†ูŠุŒ ู…ุด ุดุฑุทุฃุนู…ู„ู‡ู… ูƒุงุดู ู„ู„ูƒู„ ุจุนู…ู„ ุงุฎุชุจุงุฑ ู„ูˆุงุญุฏุฉ
552
+
553
+ 139
554
+ 00:10:42,440 --> 00:10:45,560
555
+ ู…ู†ู‡ู… ูˆุชูƒููŠ ูŠุนู†ูŠ ู„ูˆ ุนู†ุฏูƒ data ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆุนู…ู„ุชูŠ
556
+
557
+ 140
558
+ 00:10:45,560 --> 00:10:49,600
559
+ boxplot boxplot is enough to determine if the data
560
+
561
+ 141
562
+ 00:10:49,600 --> 00:10:53,720
563
+ is normal or not ูˆุงุถุญุŸ ูŠุนู†ูŠ ู„ูˆ ุนู†ุฏูƒ data ุนู†ุฏู†ุง
564
+
565
+ 142
566
+ 00:10:53,720 --> 00:10:57,520
567
+ minimum, volume, first quartile, median, third
568
+
569
+ 143
570
+ 00:10:57,520 --> 00:11:03,480
571
+ quartile and maximum ูˆุจุนุฏูŠู† ุจุฑุณู…ุงู„ุฃูˆู„ ู‡ูˆ ุงู„ุฑุณู…
572
+
573
+ 144
574
+ 00:11:03,480 --> 00:11:08,200
575
+ ุงู„ุฑุณู… ุงู„ ุจุงูƒุณ ุจู„ุงุช ูŠุณุฑุด ูŠุนู…ู„ ุงู„ ุจุงูƒุณ ุจู„ุงุช ู„ุฃู† ุงู„
576
+
577
+ 145
578
+ 00:11:08,200 --> 00:11:11,480
579
+ ุจุงูƒุณ ุจู„ุงุช ูƒู„ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชูŠ ุชุญุชุงุฌู‡ุง .. ุฃุนู†ูŠ
580
+
581
+ 146
582
+ 00:11:11,480 --> 00:11:14,500
583
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู…ุญุชุงุฌุฉ ุชู… ุฅุนุทุงุฆู‡ุง ู„ู†ุง ู„ุฏูŠู†ุง minimum,
584
+
585
+ 147
586
+ 00:11:14,780 --> 00:11:19,040
587
+ q1, median, q3 ูˆ maximum ุซู… ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰ ุงู„ูุฑู‚
588
+
589
+ 148
590
+ 00:11:19,040 --> 00:11:23,640
591
+ ุจูŠู†ู‡ู… ูƒู…ุง ุฐูƒุฑู†ุง ู…ู† ู‚ุจู„ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ .. ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰
592
+
593
+ 149
594
+ 00:11:23,640 --> 00:11:31,900
595
+ ุงู„ู…ูŠุฏูŠุงู† ูˆู…ุนุธู… ู…ูŠุฏูŠุงู† ูˆู…ุนุธู…ูˆุงุถุญ ุฌุฏู‹ุง ุฃู† ุงู„ู€ right
596
+
597
+ 150
598
+ 00:11:31,900 --> 00:11:36,880
599
+ tail ุฃูƒุชุฑ ู…ู† ุงู„ู€ left tail ู„ุฐู„ูƒ ูŠุนู†ูŠ ุฃู†ู‡ุง ู…ุฑุณูˆู…ุฉ
600
+
601
+ 151
602
+ 00:11:36,880 --> 00:11:37,940
603
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู„ุฐู„ูƒ ู„ูŠุณ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
604
+
605
+ 152
606
+ 00:11:37,940 --> 00:11:38,460
607
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
608
+
609
+ 153
610
+ 00:11:38,460 --> 00:11:40,760
611
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
612
+
613
+ 154
614
+ 00:11:40,760 --> 00:11:41,100
615
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
616
+
617
+ 155
618
+ 00:11:41,100 --> 00:11:54,400
619
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌ
620
+
621
+ 156
622
+ 00:11:54,720 --> 00:11:59,120
623
+ not normal this is correct answer if the answer is
624
+
625
+ 157
626
+ 00:11:59,120 --> 00:12:03,060
627
+ asymmetric this
628
+
629
+ 158
630
+ 00:12:03,060 --> 00:12:07,540
631
+ is good answer asymmetric it means .. asymmetric
632
+
633
+ 159
634
+ 00:12:07,540 --> 00:12:12,040
635
+ ู…ุนู†ุงู‡ ู…ุชู…ุซู„ ุงู„ู†ููŠ ุชุจู‚ู‰ ูŠู…ุง ุจุญูƒูŠ asymmetric ุจุญุท
636
+
637
+ 160
638
+ 00:12:12,040 --> 00:12:16,660
639
+ ุงู„ูŠู…ุญุง ูŠุนู†ูŠ asymmetric not normal ุงูˆ ู…ู…ูƒู† ุงุญูƒูŠ
640
+
641
+ 161
642
+ 00:12:16,660 --> 00:12:19,660
643
+ right skewed
644
+
645
+ 162
646
+ 00:12:24,300 --> 00:12:28,900
647
+ ู‡ุฏูˆู„ ุงู„ุชู„ุงุชูŠ ุฏูŠ ุจุณ ุตุญ ูŠุนู†ูŠ ุจุญูƒูŠ ู…ุด .. not norm ..
648
+
649
+ 163
650
+ 00:12:28,900 --> 00:12:36,500
651
+ not symmetric ู‡ุฐู‡ not symmetric ู‡ุฏูˆู„
652
+
653
+ 164
654
+ 00:12:36,500 --> 00:12:39,820
655
+ ุงู„ุฃุฑุจุนุฉ ุตุญ ูŠุนู†ูŠ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… is okay ูŠุนู†ูŠ ู„ูˆ ููŠ
656
+
657
+ 165
658
+ 00:12:39,820 --> 00:12:42,340
659
+ ู…ู†ู‡ู… ุชู†ุชูŠู† ู…ูˆุฌูˆุฏุฉ ูˆ ุชู†ุชูŠู† ุบู„ุท ุจุญูƒูŠ A ูˆ B ู‡ู… ุงู„
660
+
661
+ 166
662
+ 00:12:42,340 --> 00:12:48,000
663
+ correct answer ูˆุงุถุญุŸ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ symmetry ู…ุนู†ุงู‡ุง
664
+
665
+ 167
666
+ 00:12:48,000 --> 00:12:54,330
667
+ ุฅูŠุดุŸ ู…ุชู…ุซู„ ู„ู…ุง ุฃุญุทู„ู‡ุง ุงู„ ุฅูŠู‡ ุจุชุตูŠุฑุŸ ุบูŠุฑ ู…ุชู…ุซู„ุจุณ
668
+
669
+ 168
670
+ 00:12:54,330 --> 00:12:58,190
671
+ ู„ูŠู‡ ุดุงุจูƒุฉ ููŠู‡ุงุŸ ูŠุนู†ูŠ ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ู…ุด a symmetry ุงู„
672
+
673
+ 169
674
+ 00:12:58,190 --> 00:13:03,770
675
+ symmetry ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ุข ู„ู‚ูŠุชู† ููŠู‡ุง ุฎู„ุงุต ูŠุนู†ูŠ ุงู„
676
+
677
+ 170
678
+ 00:13:03,770 --> 00:13:09,370
679
+ symmetry ู…ุนู†ุงู‡
680
+
681
+ 171
682
+ 00:13:09,370 --> 00:13:16,510
683
+ ุฅูŠุด ู…ุชู…ุซู„ ุงู„ symmetry ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ุฒูŠูƒ ู…ุนู†ุงู‡
684
+
685
+ 172
686
+ 00:13:16,510 --> 00:13:21,330
687
+ ุบูŠุฑ ู…ุชู…ุซู„ ุฃูˆ not symmetryู‡ุฐู‡ ู‡ูŠ ู…ุฌู„ุฉ ุจุงูƒุณ ุจู„ูˆุช
688
+
689
+ 173
690
+ 00:13:21,330 --> 00:13:35,090
691
+ ุชุดูŠุฑ ุฅู„ู‰ ุฃู† ุงู„ู…ุนู„ู‚ุงุช ู…ุฌุฑุฏุฉ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุตุญูŠุญ ุงุฐุง
692
+
693
+ 174
694
+ 00:13:35,090 --> 00:13:41,290
695
+ ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุช ุฏุนูˆู†ุง ู†ุฑู‰ ุฅุฐุง ูƒุงู†ุช
696
+
697
+ 175
698
+ 00:13:41,290 --> 00:13:42,490
699
+ ุงู„ู…ุนู„ู‚ุงุช ุนุงุฏูŠุฉ ุฃูˆ ู„ุง
700
+
701
+ 176
702
+ 00:13:46,550 --> 00:13:53,190
703
+ ุฅุฐุง ู†ุธุฑู†ุง ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ 21.84 21.65 ูŠู‚ุงุฑู† ุจู…ุง
704
+
705
+ 177
706
+ 00:13:53,190 --> 00:13:57,650
707
+ ูŠู‚ุงุฑู†ุŒ ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถุŒ ูู…ุด ู‚ุงุฏุฑ ูŠุญุฏุฏ ู„ุฃู† ุงู„ูุฑู‚ ุงู„ู„ูŠ
708
+
709
+ 178
710
+ 00:13:57,650 --> 00:14:02,850
711
+ ุจูŠู†ู‡ู… ู…ุด ูƒุจูŠุฑุŒ ูŠุนู†ูŠ ุญูˆุงู„ูŠ 19% ุงู„ุงุฎุชู„ุงู ุจูŠู†
712
+
713
+ 179
714
+ 00:14:02,850 --> 00:14:07,650
715
+ ุงู„ุงู†ุชู‚ุงู„ ูˆุงู„ู…ุชูˆุณุทุŒ ุงู„ุขู† ุฅุฐุง ู†ุธุฑู†ุง ุฅู„ู‰ IQR ู„ู‡ุฐู‡
716
+
717
+ 180
718
+ 00:14:07,650 --> 00:14:12,500
719
+ ุงู„ุจูŠุงู†ุงุชุŒ ู„ูˆ ุจุฏูŠ ุฃุญุณุจ ุงู„ IQRุฅุฐุง ุฑู‚ู… ูˆุงุญุฏ ุงู„ู€mean
720
+
721
+ 181
722
+ 00:14:12,500 --> 00:14:17,660
723
+ 21.84 ู‡ูˆ ุชู‚ุฑูŠุจู‹ุง ู…ุซู„ ุงู„ู€median ูˆู„ูƒู† ููŠ ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
724
+
725
+ 182
726
+ 00:14:17,660 --> 00:14:19,140
727
+ ุงู„ู€mean ูˆ ุงู„ู€median ู…ุฑุชุจุทูŠู† ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท
728
+
729
+ 183
730
+ 00:14:19,140 --> 00:14:22,400
731
+ ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
732
+
733
+ 184
734
+ 00:14:22,400 --> 00:14:25,080
735
+ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท
736
+
737
+ 185
738
+ 00:14:25,080 --> 00:14:28,000
739
+ ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
740
+
741
+ 186
742
+ 00:14:28,000 --> 00:14:29,880
743
+ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท
744
+
745
+ 187
746
+ 00:14:29,880 --> 00:14:36,360
747
+ ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌ
748
+
749
+ 188
750
+ 00:14:42,530 --> 00:14:54,590
751
+ ุฅุฐุง ูƒู†ุช ุชุนูˆุฏ ู‚ู„ูŠู„ุง ุฅู„ู‰ ุงู„ู€ previous one Q3-Q1 2474
752
+
753
+ 189
754
+ 00:14:54,590 --> 00:14:58,110
755
+ -Q1
756
+
757
+ 190
758
+ 00:14:58,110 --> 00:15:07,350
759
+ ุงู„ูุฑู‚ ุจูŠู† ู‡ุงุชูŠู† ุงู„ู‚ูŠู… 6.98 ุงู„ุฃู†
760
+
761
+ 191
762
+ 00:15:07,350 --> 00:15:11,730
763
+ ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู… ูŠู‚ู„ 1.33 ุณูŠุฌู…ุงุŸู‡ูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒ
764
+
765
+ 192
766
+ 00:15:11,730 --> 00:15:16,050
767
+ ุงุนุฑูู‡ุง ุงู„ sigma is given ุงู„ standard deviation is
768
+
769
+ 193
770
+ 00:15:16,050 --> 00:15:27,330
771
+ given sigma equals 6.4 around 263 now if IQR
772
+
773
+ 194
774
+ 00:15:27,330 --> 00:15:30,170
775
+ equals 1.33 sigma then the data is normally
776
+
777
+ 195
778
+ 00:15:30,170 --> 00:15:34,590
779
+ distributed now if you look at this value and
780
+
781
+ 196
782
+ 00:15:34,590 --> 00:15:37,390
783
+ compare this value to 1.336
784
+
785
+ 197
786
+ 00:15:39,560 --> 00:15:59,300
787
+ 1.336 X Sigma 1.336 X Sigma 1.336 X 6.4263 1.336
788
+
789
+ 198
790
+ 00:15:59,300 --> 00:16:00,800
791
+ X 6.4263
792
+
793
+ 199
794
+ 00:16:05,550 --> 00:16:20,490
795
+ ุงู„ู„ูŠ 1.33 x 6.4263 ู‡ูˆ 8.5 .. ุญูˆ 547 ุงูˆ ุดูŠุก ู…ู† ู‡ุฐุง
796
+
797
+ 200
798
+ 00:16:20,490 --> 00:16:26,110
799
+ ุงู„ู‚ูŠู… ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู… ูŠู‚ู„ 6.9ุŸ ู„ุงุŒ ูู‡ุฐุง ูŠุนู†ูŠ IQR
800
+
801
+ 201
802
+ 00:16:28,270 --> 00:16:32,670
803
+ ู„ู† ูŠู‚ู„ ู„ู€ 1.33 ุณูŠุฌู…ู‡ ุŒ ู„ุฐู„ูƒ ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉ
804
+
805
+ 202
806
+ 00:16:32,670 --> 00:16:36,470
807
+ ุจุดูƒู„ ุนุงู… ุฃูˆ ุญุชู‰ ุฅู†ู‡ุง ู„ูŠุณุช ุญุชู‰ ู‚ุฑูŠุจุฉ. ุงู„ุขู† ู‡ุฐู‡
808
+
809
+ 203
810
+ 00:16:36,470 --> 00:16:38,310
811
+ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูŠู… ู„ูŠุณุช ู‚ุฑูŠุจุฉ ู…ู† ุจุนุถู‡ุง ุงู„ุจุนุถุŒ ู„ุฐู„ูƒ
812
+
813
+ 204
814
+ 00:16:38,310 --> 00:16:41,170
815
+ ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉ ุจุดูƒู„ ุนุงู…. ุงู„ุฃู† ุจุฅู…ูƒุงู†ูƒ ุชูˆู‚ู.
816
+
817
+ 205
818
+ 00:16:41,430 --> 00:16:43,490
819
+ ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉ ุจุดูƒู„ ุนุงู…. ุฅุฐุง ุฃุฑุฏุชุŒ ูŠู…ูƒู†ูƒ
820
+
821
+ 206
822
+ 00:16:43,490 --> 00:16:48,150
823
+ ุงู„ุชุงุจุน. ูŠู…ูƒู†ูƒ ุชุทุจูŠู‚ ุงู„ู‚ูˆุงุนุฏ ุงู„ุงู†ุจุนุงุฏูŠุฉ ูˆุงู†ุชุธุฑ ุฅู†
824
+
825
+ 207
826
+ 00:16:48,150 --> 00:16:55,450
827
+ ู‡ุฐุง ุงู„ู‚ูˆุงุนุฏ ูŠุชู… ุชุทุจูŠู‚ู‡ ุฃูˆ ู„ุง. ุงู„ุขู†ุŒ ู…ุฑุฉ ุฃุฎุฑู‰. ุงู†ุธุฑ
828
+
829
+ 208
830
+ 00:16:55,450 --> 00:16:56,210
831
+ ุฅู„ู‰ ุงู„ู€ Range.
832
+
833
+ 209
834
+ 00:17:13,990 --> 00:17:21,610
835
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุฅุฐุง ู‡ูŠ ูˆุงุญุฏุฉ ูˆู‡ูŠ ุงู„ุชุงู†ูŠุฉ ุฅุฐุง ูƒุงู†ุช
836
+
837
+ 210
838
+ 00:17:21,610 --> 00:17:28,810
839
+ ุงู„ุทุฑูŠู‚ุฉ ุชู‚ุฑูŠุจุง 6 ุณูŠุฌู…ุง ูุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉู†ุญู†
840
+
841
+ 211
842
+ 00:17:28,810 --> 00:17:35,730
843
+ ู„ุฏูŠู†ุง ุณุชุฉ ู…ุฑุฉ ุณูŠุฌู…ุง ุงูŠู‡
844
+
845
+ 212
846
+ 00:17:35,730 --> 00:17:41,330
847
+ ุงุฑุจุนุฉ
848
+
849
+ 213
850
+ 00:17:41,330 --> 00:17:43,170
851
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
852
+
853
+ 214
854
+ 00:17:43,170 --> 00:17:44,050
855
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
856
+
857
+ 215
858
+ 00:17:44,050 --> 00:17:45,030
859
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
860
+
861
+ 216
862
+ 00:17:45,030 --> 00:17:45,450
863
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
864
+
865
+ 217
866
+ 00:17:45,450 --> 00:17:57,550
867
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุช
868
+
869
+ 218
870
+ 00:17:59,750 --> 00:18:08,250
871
+ ู‡ุฐู‡ ุงู„ุตูุญุฉ ุชุธู‡ุฑ ุงู„ู€ IQR 6.98 ูˆูƒุชุงุจู‡ ุชู‚ุงุฑู† ู‡ุฐู‡
872
+
873
+ 219
874
+ 00:18:08,250 --> 00:18:17,870
875
+ ุงู„ู‚ูŠู…ุฉ ู…ุน ู‚ูŠู…ุฉ ุณูŠุฌู…ุง 6.98 ูƒู… ุณูŠุฌู…ุง ู…ูˆุฌูˆุฏ ู‡ู†ุง ูƒู…
876
+
877
+ 220
878
+ 00:18:17,870 --> 00:18:22,270
879
+ ุณูŠุฌู…ุง ููŠ ู‡ุฐู‡ ู…ูˆุฌูˆุฏุฉ ูƒู… ุณูŠุฌู…ุง ููŠ ู‡ุฐู‡ ู…ูˆุฌูˆุฏุฉ
880
+
881
+ 221
882
+ 00:18:25,470 --> 00:18:29,250
883
+ ู…ุธุจูˆุทุŸ ู…ุง ู‡ูˆ ู„ุงุฒู… ูŠุฌูŠุจ ูŠุทู„ุน ูƒุฏู‡ุŸ 1.33 ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ
884
+
885
+ 222
886
+ 00:18:29,250 --> 00:18:32,350
887
+ ุจุตุฑุง ุทุฑูŠู‚ุฉ ุญุชู‰ straightforward ูŠุนู†ูŠ ุฃู†ุง ุนู…ู„ุชู‡
888
+
889
+ 223
890
+ 00:18:32,350 --> 00:18:38,630
891
+ ู…ุจุงุดุฑุฉ ุนู„ู‰ ุทูˆู„ ุฃุฎุฏุช ุทู„ุนุช ุงู„ IQR ููŠ ุงู„ุฃูˆู„ ุจุนุฏูŠู†
892
+
893
+ 224
894
+ 00:18:38,630 --> 00:18:42,690
895
+ ุญุณุจุช ู…ูŠู† 1.33 ุณูŠุฌู…ุง ูˆุดูุช ุงู†ู‡ู… ู…ุชุณุงูˆูŠ ุจุนุถ ูˆู„ุง ู„ุฃ
896
+
897
+ 225
898
+ 00:18:42,690 --> 00:18:47,010
899
+ ู‡ุฐุง ุฃุณู‡ู„ ุงู„ูƒุชุงุจ ุงู„ุดูŠุงู…ูŠ ุงู„ู„ูŠ ู…ุงุนู…ู„ ุงู„ุดูŠูƒ ุดุงู ุงู„ 6
900
+
901
+ 226
902
+ 00:18:47,010 --> 00:18:55,930
903
+ .98 ุงู„ู„ูŠ ู‡ูŠ ุงู„ IQR ุฃูƒู… ุณูŠุฌู…ุง ููŠู‡ุง ูƒูŠู ุทู„ุนู‡ุงุŸุทู„ุน 6
904
+
905
+ 227
906
+ 00:18:55,930 --> 00:19:03,190
907
+ .98 ุฌุณู…ู‡ุง ุนู„ู‰ ุฌูŠู…ุฉ ุงู„ู€ Sigma ู„ูˆ ุทู„ุนุช ูƒุฏู‡ ู‡ุชุทู„ุน
908
+
909
+ 228
910
+ 00:19:03,190 --> 00:19:09,770
911
+ ุงู„ุฌูˆุงุจ 1.09 ุงุญู†ุง ุนุงูŠุฒูŠู†ู‡ ู‚ุฏุงุดุŸ 1.33 ูˆุงุถุญ ู„ู„ุงู†ุชู…ุง
912
+
913
+ 229
914
+ 00:19:09,770 --> 00:19:15,390
915
+ ุฒูŠ ุจุนุถุŒ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุตุญุฉ ุจุณ ุงู„ู„ูŠ ุงู„ู„ูŠ ุญู„ูŠุชู‡ ู…ุดูŠุช
916
+
917
+ 230
918
+ 00:19:15,390 --> 00:19:22,170
919
+ straightforward ู…ุจุงุดุฑ ุญุณุจุช ุงู„ IQR ูˆุญุณุจุช ุงู„ 1.33
920
+
921
+ 231
922
+ 00:19:22,170 --> 00:19:28,020
923
+ Sigmaู…ุด ุดูˆูุช ู…ุด ุณูˆู‰ ุจุนุถ ูˆู„ุง ู„ุฃุŸ ู‡ุฐุง ุฃุณู‡ู„ ุจุงู„ู†ุณุจุงู„ูƒ
924
+
925
+ 232
926
+ 00:19:28,020 --> 00:19:34,600
927
+ ุฎู„ุงุต ุทู„ุน ุงู„ุฑุณู…ุฉ ู„ู†ูุณ ุงู„ data ุทู„ุน ุงู„ุฑุณู…ุฉ ุงู„ู„ูŠ
928
+
929
+ 233
930
+ 00:19:34,600 --> 00:19:41,580
931
+ ู…ุณู…ูŠู‡ุง normality plot if
932
+
933
+ 234
934
+ 00:19:41,580 --> 00:19:45,520
935
+ you look carefully at the line at the data it's
936
+
937
+ 235
938
+ 00:19:45,520 --> 00:19:48,960
939
+ very clear that the data is not linear because we
940
+
941
+ 236
942
+ 00:19:48,960 --> 00:19:55,640
943
+ have curved data here ูˆุถุญุฉ ุดูƒู„ ู…ุฑุญู†ุฉูˆุชุญุช ูƒูŠูุŸ in
944
+
945
+ 237
946
+ 00:19:55,640 --> 00:20:00,760
947
+ between it looks like a straight line positive but
948
+
949
+ 238
950
+ 00:20:00,760 --> 00:20:07,440
951
+ at the ends of the line we have data above and
952
+
953
+ 239
954
+ 00:20:07,440 --> 00:20:11,400
955
+ data below so you can say that the data is not
956
+
957
+ 240
958
+ 00:20:11,400 --> 00:20:15,240
959
+ normally distributed so plot is not a straight
960
+
961
+ 241
962
+ 00:20:15,240 --> 00:20:19,360
963
+ line and shows the distribution skewed to the
964
+
965
+ 242
966
+ 00:20:19,360 --> 00:20:22,200
967
+ right side so the data is not symmetric
968
+
969
+ 243
970
+ 00:20:25,040 --> 00:20:29,540
971
+ ู‡ุฐู‡ ู†ูุณ ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงุณุชุฎุฏุงู… ุตูุญุงุช ู…ุณู…ู‰ Minitab ู‡ุฐุง
972
+
973
+ 244
974
+ 00:20:29,540 --> 00:20:35,760
975
+ ุจุฑู†ุงู…ุฌ ุงุญุตุงุก ุงุณู…ู‡ Minitab ู†ูุณ ุงู„ู…ู‚ุงุฑู†ุฉ ูˆุงุถุญ ุงู† ู‡ู†ุง
976
+
977
+ 245
978
+ 00:20:35,760 --> 00:20:42,180
979
+ ููŠ straight line ูˆ ุจุนุฏูŠู† ุจุฏุงุด ูŠุนู…ู„ curve ุตุงุฑ ุฏุจูŠุงุด
980
+
981
+ 246
982
+ 00:20:42,180 --> 00:20:45,060
983
+ ุนู„ู‰ ุงู„ straight line ุนุดุงู† ูŠูƒูˆู† ุงู„ุณุจุจ ูŠูƒูˆู† ู‡ุฐุง ุดูƒู„ู‡
984
+
985
+ 247
986
+ 00:20:45,060 --> 00:20:49,260
987
+ ููˆุงุถุญ ุงู† ุงู„ุดูƒู„ ุงู„ุนุงู…ู„ู‡ ู„ูŠุณ straight line
988
+
989
+ 248
990
+ 00:20:52,390 --> 00:20:54,570
991
+ ูˆุงุถุญ ุฃู† ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
992
+
993
+ 249
994
+ 00:20:54,570 --> 00:20:54,790
995
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
996
+
997
+ 250
998
+ 00:20:54,790 --> 00:20:57,810
999
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1000
+
1001
+ 251
1002
+ 00:20:57,810 --> 00:20:58,210
1003
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1004
+
1005
+ 252
1006
+ 00:20:58,210 --> 00:21:03,130
1007
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1008
+
1009
+ 253
1010
+ 00:21:03,130 --> 00:21:03,350
1011
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1012
+
1013
+ 254
1014
+ 00:21:03,350 --> 00:21:03,410
1015
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1016
+
1017
+ 255
1018
+ 00:21:03,410 --> 00:21:04,070
1019
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1020
+
1021
+ 256
1022
+ 00:21:04,070 --> 00:21:06,810
1023
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1024
+
1025
+ 257
1026
+ 00:21:06,810 --> 00:21:11,130
1027
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1028
+
1029
+ 258
1030
+ 00:21:11,130 --> 00:21:14,810
1031
+ ุดูƒู„ู‡ุง
1032
+
1033
+ 259
1034
+ 00:21:14,810 --> 00:21:16,390
1035
+ ุด
1036
+
1037
+ 260
1038
+ 00:21:22,760 --> 00:21:26,780
1039
+ ุงู„ุชุญู‚ูŠู‚ุงุช ู„ุฏูŠู‡ุง ุฃูƒุชุฑ ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ ุญูˆู„ ุงู„ู€mean ุฃูƒุชุฑ
1040
+
1041
+ 261
1042
+ 00:21:26,780 --> 00:21:32,220
1043
+ ู…ู† ุงู„ู…ุชูˆู‚ุน ุงู„ูˆู‚ุช ุงู„ุฃูƒุจุฑ
1044
+
1045
+ 262
1046
+ 00:21:32,220 --> 00:21:35,540
1047
+ ู…ู† ู…ุง ูƒู†ุง ู†ุชูˆู‚ุน ููŠ ุงู„ูˆุงู‚ุน ุงู„ู€ probability plot ู„ูŠุณ
1048
+
1049
+ 263
1050
+ 00:21:35,540 --> 00:21:38,360
1051
+ ุจุทุฑูŠู‚ุฉ ู…ุจุงุดุฑุฉุŒ ู„ุฐู„ูƒ ููŠ ุงู„ูˆุงุถุญ ุฃู† ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช
1052
+
1053
+ 264
1054
+ 00:21:38,360 --> 00:21:43,680
1055
+ ู…ุฎุชู„ูุฉ ูƒุซูŠุฑู‹ุง ู…ู† ุงู„ูˆุงู‚ุนุงุช ุงู„ู‡ูŠูˆุบูˆูŠุฉ ู„ู„ุชุนุงู…ู„ ู…ุน
1056
+
1057
+ 265
1058
+ 00:21:43,680 --> 00:21:44,140
1059
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1060
+
1061
+ 266
1062
+ 00:21:44,140 --> 00:21:44,680
1063
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1064
+
1065
+ 267
1066
+ 00:21:44,680 --> 00:21:45,940
1067
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1068
+
1069
+ 268
1070
+ 00:21:45,940 --> 00:21:46,140
1071
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1072
+
1073
+ 269
1074
+ 00:21:46,140 --> 00:21:50,780
1075
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…
1076
+
1077
+ 270
1078
+ 00:21:50,800 --> 00:21:53,700
1079
+ ุงู„ู…ูŠุฒุฉ ูˆุงู„ู…ูŠุฒุฉ ุชู‚ุฑูŠุจู‹ุง ู…ุฑุชูุนุฉ ูˆู„ูƒู† ุงู„ู‚ูˆุงู†ูŠู† ุงู„ุฃุฎุฑู‰
1080
+
1081
+ 271
1082
+ 00:21:53,700 --> 00:21:58,180
1083
+ ุชุธู‡ุฑ ุฃู† ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ู…ุฌุชู…ุนู‹ุง ุทุจูŠุนูŠู‹ุงุŒ ู„ุฐู„ูƒ
1084
+
1085
+ 272
1086
+ 00:21:58,180 --> 00:22:03,220
1087
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุฃุฎูŠุฑุฉ ู„ู„ุจูŠุงู†ุงุช ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ุน๏ฟฝ๏ฟฝู…ู„ู‹ุง
1088
+
1089
+ 273
1090
+ 00:22:03,220 --> 00:22:09,860
1091
+ ู…ุฎุชู„ูุฉ ุนู† ู…ุฌุชู…ุน ุทุจูŠุนูŠ ูˆู…ุชุฌุฑ ุญู‚ู‡ุงุŒ ู„ุฐู„ูƒ ู‡ุฐุง ู‡ูˆ
1092
+
1093
+ 274
1094
+ 00:22:09,860 --> 00:22:12,640
1095
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชูŠ ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ุงู„ุทุจูŠุนุฉ ุจุงุณุชุฎุฏุงู… ุฃู…ุง
1096
+
1097
+ 275
1098
+ 00:22:12,640 --> 00:22:15,620
1099
+ ู…ูŠุฒุฉ ู†ู…ูˆูŠุฉ ูƒู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
1100
+
1101
+ 276
1102
+ 00:22:15,620 --> 00:22:17,260
1103
+ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
1104
+
1105
+ 277
1106
+ 00:22:19,780 --> 00:22:24,220
1107
+ IQR equal 1.33 Sigma Range equals 6 Sigma In
1108
+
1109
+ 278
1110
+ 00:22:24,220 --> 00:22:26,740
1111
+ addition if you look at the box plot if the data
1112
+
1113
+ 279
1114
+ 00:22:26,740 --> 00:22:31,060
1115
+ is small or look at the histogram for large data
1116
+
1117
+ 280
1118
+ 00:22:31,060 --> 00:22:34,600
1119
+ and finally we look at the normal probability plot
1120
+
1121
+ 281
1122
+ 00:22:34,600 --> 00:22:37,660
1123
+ if the data points fall on straight line or closed
1124
+
1125
+ 282
1126
+ 00:22:37,660 --> 00:22:40,420
1127
+ then you can say that the data is normally
1128
+
1129
+ 283
1130
+ 00:22:40,420 --> 00:22:43,200
1131
+ distributed that's all for how can we evaluate
1132
+
1133
+ 284
1134
+ 00:22:43,200 --> 00:22:51,370
1135
+ normality questions any question?ููŠ ุงู„ุจูŠุช ุจุณ ุฑุงุฌุน
1136
+
1137
+ 285
1138
+ 00:22:51,370 --> 00:22:56,530
1139
+ ุงู„ูƒู„ุงู…ุงุช ูƒุฏู‡ ุณู‡ู„ ุจุณ ุญุงูˆู„ูŠ ุชุฑุงุฌุนูŠู‡ุง ูƒุฏู‡ ุจูƒูˆู†
1140
+
1141
+ 286
1142
+ 00:22:56,530 --> 00:23:01,990
1143
+ chapter six ุฎู„ุต so finish chapter six now before
1144
+
1145
+ 287
1146
+ 00:23:01,990 --> 00:23:04,990
1147
+ we continue and go to the next chapter I will
1148
+
1149
+ 288
1150
+ 00:23:04,990 --> 00:23:09,170
1151
+ solve one problem from the practice you have in
1152
+
1153
+ 289
1154
+ 00:23:09,170 --> 00:23:14,210
1155
+ your book ุฎู„ุงุต ู‡ู†ุญู„ ุณุคุงู„ ู…ุน ุจุนุถ ุงู„ุณุคุงู„ ุณู‡ู„ ุจุณ ููƒุฑุฉ
1156
+
1157
+ 290
1158
+ 00:23:14,210 --> 00:23:18,390
1159
+ ู‡ูˆ ู„ุงุฒู… ุชูƒูˆู† ุญุงุถุฑุฉ ุจุงู„ู†ุณุจุงู„ูƒู„ุฃู†ู‡ ุบุงู„ุจุง ุงู„ู…ุซุงู„
1160
+
1161
+ 291
1162
+ 00:23:18,390 --> 00:23:22,190
1163
+ ู‡ุชูƒูˆู† ุณู‡ู„ุฉ ูˆ ู…ู† ุงู„ุณู‡ู„ ุงู„ู…ู…ุชู†ุน ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ู„ูˆ
1164
+
1165
+ 292
1166
+ 00:23:22,190 --> 00:23:26,570
1167
+ ู…ุงูู‡ู…ุด ูƒุฏู‡ ูˆ ุจุฏู‡ ูŠุญู„ ู…ุซุงู„ ุฒูŠ ู‡ูŠูƒ ู‡ุถูŠุน ุดุบู„ุงุช ูƒุชูŠุฑ
1168
+
1169
+ 293
1170
+ 00:23:26,570 --> 00:23:32,250
1171
+ ูู‡ุญู„ ุณุคุงู„ ูˆุงุญุฏ ูˆ ู†ุฎุชู… ูˆ ู†ุชุนูˆุฏ ุฏุงูŠู…ุง ุงุฎุฑ ู„ู‚ุงุก ุจุญู„ู„
1172
+
1173
+ 294
1174
+ 00:23:32,250 --> 00:23:35,610
1175
+ ุงู„ุณุคุงู„ ุงูˆ ุงุชู†ูŠู† ู…ู† ุงู„ุงุณุฆู„ุฉ ุงู„ู„ูŠ ูŠุนู†ูŠ ุจุฏู‡ ุดูˆูŠุฉ
1176
+
1177
+ 295
1178
+ 00:23:35,610 --> 00:23:39,170
1179
+ ุชููƒูŠุฑ ู‡ุญู„
1180
+
1181
+ 296
1182
+ 00:23:39,170 --> 00:23:46,010
1183
+ ุงู„ุณุคุงู„ ุชู„ุงุชูŠู† ู…ูŠุฉ ูˆ .. ุงู‡ ุญูƒูŠุชู„ูƒ ู…ูŠุฉ ุณุงุนุฉ ุชู…ุงู…ุง
1184
+
1185
+ 297
1186
+ 00:24:25,100 --> 00:24:27,560
1187
+ ู…ุด ู…ุงุถูŠ ุนุงู…ุฉ ุจู‚ู‰ ูŠุนู†ูŠ
1188
+
1189
+ 298
1190
+ 00:24:32,090 --> 00:24:36,970
1191
+ ุงู„ุณุคุงู„ ุชู„ุงุชูŠู† ุณุงุนุฉ ู…ูŠุฉ ูˆ ุณุจุนุฉ ูˆ ุชู…ุงู†ูŠู† ุงุณู… ุงู„
1192
+
1193
+ 299
1194
+ 00:24:36,970 --> 00:24:46,310
1195
+ practice page one eight seven ูˆ
1196
+
1197
+ 300
1198
+ 00:24:46,310 --> 00:24:49,310
1199
+ ุฃู†ุง ุจุญุซ ููŠ ุงู„ practice ู‡ุนุทูŠูƒ ูƒูŠู ู…ู…ูƒู† ุงู„ุทุงู„ุจ ูŠููƒุฑ
1200
+
1201
+ 301
1202
+ 00:24:49,310 --> 00:24:53,570
1203
+ ููŠ ุงู„ุญู„ ููŠ ุงู„ุงู…ุชุญุงู† ูˆ ุฅูŠุด ุทุงู„ุน ุงู„ุชููƒูŠุฑ ุงู„ุตุญูŠ ุนุดุงู†
1204
+
1205
+ 302
1206
+ 00:24:53,570 --> 00:24:59,430
1207
+ ุฃุตู„ ู„ู„ุฌูˆุงุจ ููŠ ุงู„ูˆู‚ุช ุจู‚ุฑุง ุงู„ู…ุซู„ุฉ ูˆ ุจุฏูˆู† ุฅุดูŠ ูˆ ู‡ูŠ
1208
+
1209
+ 303
1210
+ 00:24:59,430 --> 00:25:03,570
1211
+ ู…ูˆุฌูˆุฏ ููŠู‡ุง ู…ู„ุงุญุธุงุชู…ู…ูƒู† ุงุชูˆุงุฌู‡ ูƒู„ู…ุฉ ู…ุด ุนุงุฑูู‡ุงุŒ
1212
+
1213
+ 304
1214
+ 00:25:03,570 --> 00:25:09,750
1215
+ ู†ูุชุฑุถ ุฃุญุงูˆู„ ุฃูู‡ู…ู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุณูŠุงู‚ ู…ุงูู‡ู…ุชู‡ุงุด ุญู„ุŒ
1216
+
1217
+ 305
1218
+ 00:25:09,750 --> 00:25:12,730
1219
+ ุญุทู‡ุงุŒ ุงุนุทูŠู‡ุง ุฎุทุŒ ูˆุงุณูŠุจูƒ ู…ู†ู‡ุงุŒ ูŠุนู†ูŠ ู…ุงุชุถุงูŠู‚ุด ูˆู‚ุชูƒ
1220
+
1221
+ 306
1222
+ 00:25:12,730 --> 00:25:19,930
1223
+ ููŠ ุงู„ุชุฑุฌู…ุฉ ุฎุฏูŠ ุงู„ .. ุงู„ .. ุงู„ keywords ู…ู†ู‡ุงุŒ ู…ูุชุงุญ
1224
+
1225
+ 307
1226
+ 00:25:19,930 --> 00:25:20,330
1227
+ ุงู„ุญู„
1228
+
1229
+ 308
1230
+ 00:25:23,360 --> 00:25:26,360
1231
+ ูˆุจุนุฏูŠู† ุจุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูุจูŠุญูƒูŠ you were told that
1232
+
1233
+ 309
1234
+ 00:25:26,360 --> 00:25:29,480
1235
+ the amount of time lapsed between consecutive
1236
+
1237
+ 310
1238
+ 00:25:29,480 --> 00:25:33,300
1239
+ trades on a foreign stock exchange market followed
1240
+
1241
+ 311
1242
+ 00:25:33,300 --> 00:25:36,320
1243
+ by normal distribution with a mean of 15 seconds
1244
+
1245
+ 312
1246
+ 00:25:36,320 --> 00:25:41,380
1247
+ ู‚ุฑุฃุช ุงู„ุฌูŠุจู†ุฉ ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุฅูŠุด ุฃูู‡ู…ุช ู…ู†ู‡ุงุŸ ููŠ ุนู†ุฏูƒ ุงู„
1248
+
1249
+ 313
1250
+ 00:25:41,380 --> 00:25:44,900
1251
+ keywords ุจุชุงุนูˆู†ูŠ normal distribution ูˆ ุงู„ mean
1252
+
1253
+ 314
1254
+ 00:25:44,900 --> 00:25:48,940
1255
+ equals 15 ู‡ุฐุง ุฃู†ุง ุงุณุชูˆุนุจุชู‡ุง ุจุฏูˆู† ู…ุดุงูƒู„ ู…ุดุงูƒู„ ุฅุฐุง
1256
+
1257
+ 315
1258
+ 00:25:48,940 --> 00:25:52,640
1259
+ ุงู„ mean equals 15 and we have normal distribution
1260
+
1261
+ 316
1262
+ 00:25:53,290 --> 00:25:57,670
1263
+ ูˆุจุชูƒู„ู… ุนู„ู‰ .. ู„ูˆ ุจุฏุฃุช ูุงู‡ู…ุฉ ุจุงู„ูƒุงู…ู„ ุจุชูƒู…ู„ ุนู„ู‰
1264
+
1265
+ 317
1266
+ 00:25:57,670 --> 00:26:03,030
1267
+ ุงู„ุฒู…ู† ุงู„ู„ูŠ ู„ุงุฒู… ุฃู† ุงู„ูˆุงุญุฏ ูŠู†ูุฐ consecutive ู…ุนู†ุงู‡
1268
+
1269
+ 318
1270
+ 00:26:03,030 --> 00:26:11,470
1271
+ ุฅูŠุดุŸ consecutive consecutive trades ู…ุชุชุงู„ูŠุชูŠู† ูŠุนู†ูŠ
1272
+
1273
+ 319
1274
+ 00:26:11,470 --> 00:26:17,010
1275
+ ุดุบู„ุชูŠู† ูˆุฑุง ุจุนุถ ูŠุนู†ูŠ ู„ู…ู†ุŸ ู„ู„ stock exchange ุงู„ู„ูŠ ู‡ูŠ
1276
+
1277
+ 320
1278
+ 00:26:17,010 --> 00:26:23,930
1279
+ ุฃุณุนุงุฑ ุงู„ุฃุณู‡ู… ููŠ ุงู„ุจูˆุฑุตุฉุฅุฐุง ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ุนุดุงู† ุฃู‚ุถูŠ
1280
+
1281
+ 321
1282
+ 00:26:23,930 --> 00:26:28,750
1283
+ ุดุบู„ุชูŠู† ุฃูˆ ุดุฑุงุก ุงุชู†ูŠู† stock ุฃูˆ ู…ุดุงุจู‡ ุฃูˆ ุนู…ู„ูŠุชูŠู† ููŠ
1284
+
1285
+ 322
1286
+ 00:26:28,750 --> 00:26:34,370
1287
+ ุงู„ุดุฑุงุก ููŠ ุงู„ stock ุฅู„ุง ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูŠุนู†ูŠ X ุนุจุงุฑุฉ ุนู†
1288
+
1289
+ 323
1290
+ 00:26:34,370 --> 00:26:39,590
1291
+ ุงู„ time ุฅุฐุง
1292
+
1293
+ 324
1294
+ 00:26:39,590 --> 00:26:44,810
1295
+ ููŠ ุนู†ุฏูŠ ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ู„ุฅู†ู‚ุถุงุก
1296
+
1297
+ 325
1298
+ 00:26:44,810 --> 00:26:48,070
1299
+ ุนู…ู„ุชูŠู† ููŠ ุงู„ุดุฑุงุก ู„ู„ stock ุจุงู„ุณุงูˆูŠุฉ ุฅู„ู‡ุง normal
1300
+
1301
+ 326
1302
+ 00:26:48,070 --> 00:26:50,650
1303
+ distribution ู…ู† ู…ูŠู† ูˆุฎู…ุณ ุนุงู…ู„ูŠู† ุงู„ู„ูŠ ู„ุฃ ุฃู†ุง
1304
+
1305
+ 327
1306
+ 00:26:50,650 --> 00:26:55,470
1307
+ ู…ุงู‚ุฑุฃุชุด ุงู„ู„ูŠ ู‡ูŠูƒูˆุจุนุฏูŠู† ุงุฑุณู… ุงุชูˆู…ูŠุชูŠูƒ ุงู„ุฑุณู…ุฉ ุชุงุจุนุฉ
1308
+
1309
+ 328
1310
+ 00:26:55,470 --> 00:27:00,730
1311
+ ุงู„ู€ Normal Distribution ูˆุนุงู„ู…ูŠุง
1312
+
1313
+ 329
1314
+ 00:27:00,730 --> 00:27:07,650
1315
+ ุงุญุงูˆู„ ุงุฑุณู… ูƒูˆูŠุณุฉ ู„ุฑุณู… ู…ู‡ู… ู„ูู‡ู… ุงู„ู…ุซู„ุฉ ุฒูŠ ุงูˆู„
1316
+
1317
+ 330
1318
+ 00:27:07,650 --> 00:27:12,350
1319
+ ู…ุนู„ูˆู…ุฉ ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ุชุงู†ูŠุฉ you were to also told that
1320
+
1321
+ 331
1322
+ 00:27:12,350 --> 00:27:14,710
1323
+ the probability that the time lapsed between two
1324
+
1325
+ 332
1326
+ 00:27:14,710 --> 00:27:18,070
1327
+ consecutive trades to fall between 16 and 17
1328
+
1329
+ 333
1330
+ 00:27:18,070 --> 00:27:24,470
1331
+ seconds was 13%ุงู„ุฒู…ู† ู…ุง ุจูŠู† 16 ูˆ 17 ุซุงู†ูŠุฉ ูŠุนุทุงู†ูŠุด
1332
+
1333
+ 334
1334
+ 00:27:24,470 --> 00:27:29,150
1335
+ ุจุงู„ุณุงูˆูŠ 13 ุทุจ ุฃูƒูŠุฏ ุงู„ 16 ู‡ุงุชูŠุฌูŠ ู‡ูŠูƒ ู…ุด ูƒุฏู‡ุŸ ู‡ุงูŠ ุงู„
1336
+
1337
+ 335
1338
+ 00:27:29,150 --> 00:27:41,270
1339
+ 16 ู‡ุงูŠ ุงู„ 16 ูˆ ู‡ุงูŠ ุงู„ 17 ู‡ุฐู‡
1340
+
1341
+ 336
1342
+ 00:27:41,270 --> 00:27:47,110
1343
+ ุงู„ู…ุณุงูุฉ 30 13% ู‡ุฐู‡ ู‡ูŠูƒ 13
1344
+
1345
+ 337
1346
+ 00:27:50,320 --> 00:27:56,720
1347
+ ุฅุฐุง ุงู„ู…ุณุงูุฉ ู‡ูŠ ู…ุณุงุญุฉ ุญุฏูŠู‚ 13 ุฅุนุทุงู†ูŠ
1348
+
1349
+ 338
1350
+ 00:27:56,720 --> 00:27:59,940
1351
+ ูƒู…ุงู† .. ุฅุฐุง ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ู„ูŠ ุฃุนุทุงู†ูŠู‡ุง probability x
1352
+
1353
+ 339
1354
+ 00:27:59,940 --> 00:28:06,280
1355
+ between 15 and sorry 16 and 17 this probability
1356
+
1357
+ 340
1358
+ 00:28:06,280 --> 00:28:16,490
1359
+ equals 13% between 16 and 17next the probability
1360
+
1361
+ 341
1362
+ 00:28:16,490 --> 00:28:19,250
1363
+ that the time laps between two consecutive trays
1364
+
1365
+ 342
1366
+ 00:28:19,250 --> 00:28:23,350
1367
+ would fall below 13 seconds ุฃู‚ู„ ู…ู† 13 ุชุงู†ูŠุฉ
1368
+
1369
+ 343
1370
+ 00:28:23,350 --> 00:28:30,550
1371
+ ุงู„ุชู„ุชุงุด ู‡ูŠูƒ ุจุณ ู‡ู†ุง ููŠ ู†ุฏูŠุงุด 14ุŒ ู…ุธุจูˆุทุŸ ููŠ ุชู„ุชุงุด
1372
+
1373
+ 344
1374
+ 00:28:30,550 --> 00:28:38,810
1375
+ ู‡ู†ุง ุงู„ุฃู‚ู„ ู…ู† ุชู„ุชุงุด ุชุณุงูˆูŠ ุณุจุนุฉ ูุงู‡ู…ูŠู†ุŒ ู‡ุฐุง ุงู„
1376
+
1377
+ 345
1378
+ 00:28:38,810 --> 00:28:39,630
1379
+ probability ู‡ูŠูƒ
1380
+
1381
+ 346
1382
+ 00:28:43,290 --> 00:28:51,470
1383
+ 7% ูˆูƒุงู† ุนู„ูŠ ุงูƒุชุจู‡ุง ูƒู„ู‡ุง ุจู†ูุณูŠ ุงูƒุชุจ ู‡ูŠูƒ 7% in 7
1384
+
1385
+ 347
1386
+ 00:28:51,470 --> 00:29:00,190
1387
+ percent ุงุฐุง ุฃุนุทุงู†ูŠ 1000 ู…ุนู„ูˆู…ุงุช ุงู„ mean 15 ุงู„
1388
+
1389
+ 348
1390
+ 00:29:00,190 --> 00:29:04,350
1391
+ probability between 16 and 17 point 13 ูˆุงู„ุฃู‚ู„ ู…ู†
1392
+
1393
+ 349
1394
+ 00:29:04,350 --> 00:29:09,220
1395
+ 13 ุจุชุณุงูˆูŠ point 07ุทุจ ุงูŠุด ุงู„ู„ูŠ ุนุงูŠุฒู‡ what's the
1396
+
1397
+ 350
1398
+ 00:29:09,220 --> 00:29:11,280
1399
+ probability that the time lapse between two
1400
+
1401
+ 351
1402
+ 00:29:11,280 --> 00:29:14,880
1403
+ consecutive trades will be longer than 17 seconds
1404
+
1405
+ 352
1406
+ 00:29:14,880 --> 00:29:23,660
1407
+ ุงู„ุฃูˆู„ ูˆุงุญุฏุฉ ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† 17 ุฅุฐู†
1408
+
1409
+ 353
1410
+ 00:29:23,660 --> 00:29:28,280
1411
+ ู‡ูˆ ุฃุนุทุงู†ูŠ ุงู„ mean equal 15
1412
+
1413
+ 354
1414
+ 00:29:34,780 --> 00:29:39,740
1415
+ ุจุนุฏูŠู† ุฃุนุทุงู†ูŠ P between 16 and 17 equal 13 ูˆุงู„ู„ูŠ
1416
+
1417
+ 355
1418
+ 00:29:39,740 --> 00:29:44,540
1419
+ ุฃูƒุจุฑ ู…ู† ุงู„ 37% ู‡ูˆ ุนุงูŠุฒ ุงู„ุฃูƒุจุฑ ู…ู† 17 ุฅูŠุด ุงู„
1420
+
1421
+ 356
1422
+ 00:29:44,540 --> 00:29:50,080
1423
+ probability ุจุชุณุงูˆูŠุŸ ุจุชุทู„ุน ูƒูˆูŠุณ ููŠ ุงู„ุญู„ุŒ ู‡ู„ ู„ุงุฒู…
1424
+
1425
+ 357
1426
+ 00:29:50,080 --> 00:29:53,560
1427
+ ุฃุญู„ ุงู„ู…ุซู„ุฉ ุจุงู„tableุŸ ูˆุนุดุงู† ุฃุญู„ู‡ุง ุจุงู„table ู„ุงุฒู…
1428
+
1429
+ 358
1430
+ 00:29:53,560 --> 00:29:57,500
1431
+ ุฃุญูˆู„ ู„ู…ูŠู†ุŸ ู„ู„ Z-score ุฅุฐุง ุฃูˆู„ ุญุงุฌุฉ ุจููƒุฑ ููŠู‡ุง ุฃุญูˆู„
1432
+
1433
+ 359
1434
+ 00:29:57,500 --> 00:30:03,420
1435
+ ู„ู„ Z-score ุจุณ ุฃู†ุง ุจุนุฑู ุฅู† ุงู„ Z-score X ู†ู‚ุตูŠ Mu
1436
+
1437
+ 360
1438
+ 00:30:03,420 --> 00:30:08,110
1439
+ over Sigmaุงู„ู€ Mu is given ูˆ Sigma is unknown ุจุจู‚ู‰
1440
+
1441
+ 361
1442
+ 00:30:08,110 --> 00:30:12,750
1443
+ ุชุงู†ูŠ ุฃู†ูƒ ุชุญูˆู„ ู„ู„ Z ู…ุด ู‡ุชุตู„ุญ ุญุงู„ู‡ ู…ุจุงุดุฑุฉ ุนู„ู‰ ุงู„ุฃู‚ู„
1444
+
1445
+ 362
1446
+ 00:30:12,750 --> 00:30:16,010
1447
+ ูŠุนู†ูŠ ู…ุงููŠุด solution direct ุฅุฐุง ุฃู†ุง ุญูƒูŠุช ุฃู†ูƒ ุชุงุฎุฏ
1448
+
1449
+ 363
1450
+ 00:30:16,010 --> 00:30:21,230
1451
+ ุงู„ุญู„ ุจุงู„ normal table ู…ุด ู‡ูŠู†ูุน ุจุฏุง ุฃููƒุฑ ููŠ
1452
+
1453
+ 364
1454
+ 00:30:21,230 --> 00:30:28,990
1455
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ุชุงู†ูŠ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ูˆ ุฃุทู„ุน ูƒูˆูŠุณ ุงู„ุงู† ุฃุทู„ุน
1456
+
1457
+ 365
1458
+ 00:30:28,990 --> 00:30:33,870
1459
+ ุนู„ู‰ ุงู„ู…ุณุงูุงุช ู‡ุฐู‡ ู…ุนุฑูˆูุฉ ู…ุธุจูˆุท ูˆู‡ูŠ ุงู„ู…ูŠู†
1460
+
1461
+ 366
1462
+ 00:30:36,740 --> 00:30:43,780
1463
+ ุฃู†ุง ุจุนุฑู ุงู„ .. ุงู„ู…ุณุงูุฉ ูƒู„ู‡ุง ู†ุต ุนู„ูŠ ู…ูŠู„ูŠ ู…ูŠูˆ ูˆ ู†ุต
1464
+
1465
+ 367
1466
+ 00:30:43,780 --> 00:30:48,660
1467
+ ุนู„ูŠ ุฃุณุงุฑ ุงู„ู…ูŠูˆ ุจุณ ุจุนุฑู ุฅู† ุงู„ู…ู†ุทู‚ุฉ ู‡ุงุฏุฉ ู‡ูŠูƒุŒ ู‡ุงุฏุฉ
1468
+
1469
+ 368
1470
+ 00:30:48,660 --> 00:30:54,380
1471
+ ู‡ูŠูƒุŒ ุงู„ู…ู†ุทู‚ุฉ ู‡ุงุฏุฉ ู‡ูŠูƒ ู…ู† ุฎู…ุณุชุงุดุฑ ุฅู„ู‰ ุณุจุนุชุงุดุฑ ูƒู„
1472
+
1473
+ 369
1474
+ 00:30:54,380 --> 00:30:58,560
1475
+ ู‡ุงุฏุด ุจุชุณุงูˆูŠ ู…ู† ุชู„ุชุงุดุฑ ุฅู„ู‰ ุฎู…ุณุชุงุดุฑุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ
1476
+
1477
+ 370
1478
+ 00:30:58,560 --> 00:31:04,630
1479
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ู‡ุงุฏุฉ ูƒู„ู‡ุง ู‡ูŠูƒู…ุธุจูˆุทุŸ ุจุชุณุงูˆู…ูŠ ..
1480
+
1481
+ 371
1482
+ 00:31:04,630 --> 00:31:09,570
1483
+ ุฎู„ู‘ูŠู†ูŠ ุฃุนู„ู…ูƒ ุนู„ูŠู‡ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุง ู…ู† 15 ุฅู„ู‰ 17
1484
+
1485
+ 372
1486
+ 00:31:09,570 --> 00:31:14,270
1487
+ ูŠุนู†ูŠ ุงู„ุจุฑู…ูŠู„ูŠุฉ between 15 and 17 ู„ุฅู†ู‡ ุนู†ุฏู‡ normal
1488
+
1489
+ 373
1490
+ 00:31:14,270 --> 00:31:19,990
1491
+ distribution ู†ูุณ ุงู„ู…ุณุงูุฉ ุจูŠู† 13 ุฅู„ู‰ 15ุŒ ู…ุธุจูˆุทุŸ ุทูŠุจ
1492
+
1493
+ 374
1494
+ 00:31:19,990 --> 00:31:26,410
1495
+ ู‡ุฐู‡ ู†ูุณ ุงู„ู…ุณุงูุฉ ุจุชุงุจู† ู„ dial ุฒูŠ ุจุนุถุŒ ู„ุทุฑุงู ุฒูŠ ู…ุฑุฉ
1496
+
1497
+ 375
1498
+ 00:31:26,410 --> 00:31:32,420
1499
+ ุชุงู†ูŠุฉุŒ ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ู…ู† 15 ุฅู„ู‰ 17ูˆ ู‡ูŠุนู†ุฏูŠ ู…ู† ุชู„ุชุงุด
1500
+
1501
+ 376
1502
+ 00:31:32,420 --> 00:31:39,920
1503
+ ู„ุฎู…ุณุชุงุด ู„ุญุธุฉ ุจุนู„ู… ุนู„ูŠู‡ุง ุฏูˆู„ ู…ู† ุฎู…ุณุชุงุด ู„ุณุจุนุชุงุด
1504
+
1505
+ 377
1506
+ 00:31:39,920 --> 00:31:45,580
1507
+ ุชู†ุชูŠู†ุŒ ู…ุตุจูˆุทุŸ ู…ู† ุชู„ุชุงุด ู„ุฎู…ุณุชุงุด ุจุฑุถู‡ ุงุชู†ูŠู† ูุงู„ู…ุณุงุก
1508
+
1509
+ 378
1510
+ 00:31:45,580 --> 00:31:51,140
1511
+ ุญุงู…ู„ู‡ุง ุฒูŠ ุจุนุถ ุงูŠุด ุจุชุงู…ุŸ ุงู„ left ูˆ ุงู„ right ุฒูŠ ุจุนุถ
1512
+
1513
+ 379
1514
+ 00:31:51,140 --> 00:31:56,800
1515
+ ูุจุงู„ุชุงู„ูŠ ู‡ุฐู‡ ุณุจุนุฉ ูˆ ุฃูƒูŠุฏ ู‡ุฐู‡ ุฃุฎุชู‡ุง ุณุจุนุฉ ุฅุฐุง ู…ู† ุบูŠุฑ
1516
+
1517
+ 380
1518
+ 00:31:56,800 --> 00:32:02,840
1519
+ ุญู„ ุฎุงู„ุตุŒ ู‡ูŠุจู‚ู‰ ุณุจุนุฉ ููŠ ุงู„ู…ู†ุฒู„ู…ู† ุฎู„ุงู„ ุงู„ุฑุณู… ู…ุฑุฉ
1520
+
1521
+ 381
1522
+ 00:32:02,840 --> 00:32:08,360
1523
+ ุชุงู†ูŠุฉ ู„ูˆ ุจุฏูŠ ุฃุญูˆู„ ุนู„ู‰ ุงู„ sigma ุจุงุณุชุฎุฏุงู… ุงู„ z score
1524
+
1525
+ 382
1526
+ 00:32:08,360 --> 00:32:11,680
1527
+ ู„ูˆ ุจุฏูŠ ุฃุญูˆู„ ุนู„ู‰ ุงู„ z score ู…ุงุนู†ุฏูŠุด sigma ุจุชู„ุช
1528
+
1529
+ 383
1530
+ 00:32:11,680 --> 00:32:14,400
1531
+ ุทุฑูŠู‚ุฉ ุทูˆูŠู„ุฉ ูˆู…ู…ูƒู† ุชุงุฎุฏ ู…ุนุงูŠุง ูˆู‚ุช ู…ุงุตุงุฑุด ู„ุญุงู„ูŠ
1532
+
1533
+ 384
1534
+ 00:32:14,400 --> 00:32:20,720
1535
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุฃุฑุณู… ูˆ ุฃุฑุณู… ูˆ ุฃููƒุฑ ููŠ ุงู„ุญู„ ุญุณุจ ุงู„
1536
+
1537
+ 385
1538
+ 00:32:20,720 --> 00:32:21,720
1539
+ symmetric distribution
1540
+
1541
+ 386
1542
+ 00:32:24,170 --> 00:32:28,870
1543
+ ููˆุงุถุญ ุฒูŠ ู…ุง ุญูƒูŠุช ู…ู† 15 ู„ 17 ู†ูุณู‡ุง ู…ู† ู‡ู†ุง ู„ 13 ู„ 15
1544
+
1545
+ 387
1546
+ 00:32:28,870 --> 00:32:35,490
1547
+ ูˆู‡ุฐู‡ ู…ุนุฑูˆูุฉ ู„ุฃู‚ู„ ู…ู† 13 7% ุฃูƒูŠุฏ ู„ุฃูƒุชุฑ ู…ู† 17 7% ู„ุฃู†
1548
+
1549
+ 388
1550
+ 00:32:35,490 --> 00:32:41,610
1551
+ ู‡ุฐุง ู…ุง ุงุชุจู‚ู‰ ุนู†ุฏูŠ ู„ูŠุดุŸ ู„ุฃู† ุงู„ู…ุณุงุญุฉ ู…ู† 13 ู„ 15 ู‡ูŠู‡ุง
1552
+
1553
+ 389
1554
+ 00:32:41,610 --> 00:32:47,370
1555
+ ูˆู‡ูŠ ุงู„ 15 ู„ 17 ุงู„ู„ูŠ ุจูŠุชุจู‚ู‰ ู‡ุฏูˆู„ ุชุชู…ู„ู‡ู… ุฒูŠ ุจุนุถ ุจุณ
1556
+
1557
+ 390
1558
+ 00:32:47,370 --> 00:32:49,430
1559
+ ูˆุงุญุฏ ู„ู„ Z-score ุงู„ู„ูŠ positive ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ
1560
+
1561
+ 391
1562
+ 00:32:49,430 --> 00:32:52,190
1563
+ ุงู„ุชุงู†ูŠ ู„ู„ negative ููˆุงุถุญ ู‡ุฐุง positive ู„ุฃู† 17 ุฃูƒุจุฑ
1564
+
1565
+ 392
1566
+ 00:32:52,190 --> 00:32:59,430
1567
+ ู…ู† 15ุตูˆุชุด .. ุจุฑุง ูˆู„ุง ุฌูˆุงู‡ุŸ ูˆ13 ู„ 15 ูˆุถุน ุงู„ C
1568
+
1569
+ 393
1570
+ 00:32:59,430 --> 00:33:05,090
1571
+ ู†ูŠุฌุงุชูŠู ูุจุงู„ุชุงู„ูŠ ุงุชู„ุช ุงูƒุชุฑ ู…ู† 17 ุจุณุงูˆูŠ ุงู„ seven
1572
+
1573
+ 394
1574
+ 00:33:05,090 --> 00:33:09,530
1575
+ percent ุงู„ููƒุฑุฉ ูˆุงุถุญุฉ ุงู„ุฑุณู… ุจูˆุถุญ ูŠุง ุงู„ุฑุณู… ุงู†ุณู‰
1576
+
1577
+ 395
1578
+ 00:33:09,530 --> 00:33:13,630
1579
+ ุงู„ู…ูˆุถูˆุน ูˆุงู†ุง ุจุชููƒุฑ ููŠ ุงู„ุญู„ ู„ูˆ ุงู†ุช ู„ูˆ ุญุงูˆู„ุช ุชุญู„ูŠ
1580
+
1581
+ 396
1582
+ 00:33:13,630 --> 00:33:16,490
1583
+ ู‡ูŠูƒ .. ู…ูˆุถูˆุนุงุช ู…ุด ูƒุงู…ุฉ .. ู…ูˆุถูˆุนุงุช ู…ุด ูƒุงู…ุฉ ู„ูƒู† ุงู†ุง
1584
+
1585
+ 397
1586
+ 00:33:16,490 --> 00:33:19,910
1587
+ ู…ู…ูƒู† ู„ูˆ ููŠ ุนู†ุฏูƒ ูƒู…ุงู† ุดุบู„ุชุงู† ุงู‚ุฏุฑ ุงุนู…ู„ two
1588
+
1589
+ 398
1590
+ 00:33:19,910 --> 00:33:22,170
1591
+ questions ูˆ ุงุญู„ู‡ู… ู…ุนุงุฏู„ุชูŠู† ููŠ ุงู„ู…ุฌู‡ูˆู„ูŠู† ูˆ ู‚ุตุฉ
1592
+
1593
+ 399
1594
+ 00:33:22,170 --> 00:33:30,870
1595
+ ุทูˆูŠู„ุฉู†ุดูˆู ูˆุงุญุฏ ูˆ ุชู„ุงุชูŠู† ู†ูุณ ุงู„ุณุคุงู„ what's
1596
+
1597
+ 400
1598
+ 00:33:30,870 --> 00:33:33,170
1599
+ the probability that the time lapse between two
1600
+
1601
+ 401
1602
+ 00:33:33,170 --> 00:33:36,090
1603
+ consecutive trays will be between fifteen and
1604
+
1605
+ 402
1606
+ 00:33:36,090 --> 00:33:40,270
1607
+ sixteenุŸ
1608
+
1609
+ 403
1610
+ 00:33:40,270 --> 00:33:49,470
1611
+ ุจูŠู† ุฎู…ุณุงุด ูˆ ุณุช ุนุดุฑุฉ ู„ุญุธุฉ ู‡ูˆ ู…ุด ุนุงูŠุฒ ุนุงูŠุฒ ู‡ุฐู‡ ุจุณ
1612
+
1613
+ 404
1614
+ 00:33:54,180 --> 00:34:00,460
1615
+ ุนุงูŠุฒ ุจูŠู† 15 ุงู„ู„ูŠ ุฃู†ุง ุฃุนู…ู„ูƒ ุนู„ูŠู‡ุง dots ู‡ุฐู‡ ุจูŠู† 15 ูˆ
1616
+
1617
+ 405
1618
+ 00:34:00,460 --> 00:34:05,160
1619
+ 16 ุดูˆู ุฃู†ุง ุทู„ุนุช to the right of 17 greater than 17
1620
+
1621
+ 406
1622
+ 00:34:05,160 --> 00:34:15,440
1623
+ 7 percent ูˆ 13 ู…ุนุฑูˆูุฉ ุชู… ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ู†ุต ู†ู‚ุต
1624
+
1625
+ 407
1626
+ 00:34:15,440 --> 00:34:18,760
1627
+ ู…ุฌู…ูˆุญุฉ ู„ุฃู† ุงู„ area to the right of the mean equals
1628
+
1629
+ 408
1630
+ 00:34:18,760 --> 00:34:21,680
1631
+ one half in the normal distribution symmetric
1632
+
1633
+ 409
1634
+ 00:34:21,680 --> 00:34:24,910
1635
+ around the meanSo the area to the right equals the
1636
+
1637
+ 410
1638
+ 00:34:24,910 --> 00:34:31,730
1639
+ area to the left ูุจุงู„ุชุงู„ูŠ ู‡ุชุณุงูˆูŠ ูƒู„ู‡ุง ู†ุต ู†ู‚ุต ุงู„ู„ูŠ
1640
+
1641
+ 411
1642
+ 00:34:31,730 --> 00:34:42,090
1643
+ ุฃู†ุง ุทู„ุนุชู‡ุง ุงู„ุณุงุจุนุฉ ุฒูŠ ุงู„ุชู„ุงุชุงุด ูุชู„ุงุชูŠู† ูู…ูŠุฉ is
1644
+
1645
+ 412
1646
+ 00:34:42,090 --> 00:34:48,050
1647
+ an area between fifteen and sixteen equals thirty
1648
+
1649
+ 413
1650
+ 00:34:48,050 --> 00:34:52,410
1651
+ percent ูˆุถุน ุงู„ุญู„ ุณู‡ู„ ุจุนุฏ ู…ุง ุฑุณู…ุช
1652
+
1653
+ 414
1654
+ 00:34:55,690 --> 00:35:00,990
1655
+ ู‡ุฐู‡ ุงู„ุณุคุงู„ ูˆุงุญุฏ ู‡ุฐู‡ ุงู„ุณุคุงู„ ุชู„ุงุชูŠู† ุงุชู†ูŠู†
1656
+
1657
+ 415
1658
+ 00:35:00,990 --> 00:35:06,950
1659
+ ูˆ ุชู„ุงุชูŠู† ู…ุง ู‡ูŠ ุงู„ู…ุตุงุฏุฑุฉ ุงู† ุงู„ูˆู‚ุช ุจูŠู† ุงุชู†ูŠู† ูˆ
1660
+
1661
+ 416
1662
+ 00:35:06,950 --> 00:35:09,830
1663
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1664
+
1665
+ 417
1666
+ 00:35:09,830 --> 00:35:10,110
1667
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1668
+
1669
+ 418
1670
+ 00:35:10,110 --> 00:35:16,430
1671
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1672
+
1673
+ 419
1674
+ 00:35:16,430 --> 00:35:19,450
1675
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1676
+
1677
+ 420
1678
+ 00:35:19,450 --> 00:35:19,810
1679
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1680
+
1681
+ 421
1682
+ 00:35:19,810 --> 00:35:20,170
1683
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1684
+
1685
+ 422
1686
+ 00:35:20,170 --> 00:35:20,250
1687
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู†
1688
+
1689
+ 423
1690
+ 00:35:31,040 --> 00:35:39,240
1691
+ ู…ู…ุชุงุฒ ุงุทุฑุญ ุงู„ุฃุทุฑุงู ู…ู† ุชู„ุชุงุด ู„ุณุชุงุด ู‡ูŠ ุชู„ุชุงุด ู„ุณุชุงุด
1692
+
1693
+ 424
1694
+ 00:35:39,240 --> 00:35:49,180
1695
+ ู‡ู†ุง ููŠ ุชู„ุชุงุด ูˆ ู‡ู†ุง ููŠ ุณุจุนุฉ ูˆ ู‡ู†ุง ููŠ ุณุจุนุฉ ุฅู„ู‰
1696
+
1697
+ 425
1698
+ 00:35:49,180 --> 00:35:53,340
1699
+ ุงู„ู…ู†ุทู‚ูŠุฉ ุฃูˆ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ู„ุฃู† ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ูƒู„ู‡ุง ุดูˆ
1700
+
1701
+ 426
1702
+ 00:35:53,340 --> 00:36:03,020
1703
+ ุจุชุณุงูˆูŠ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ุงู„ู…ู†ู‚ุถุฉุจุชุณุงูˆูŠ ูˆุงุญุฏ ู†ู‚ุตุŒ ู†ู‚ุต ู…ุง
1704
+
1705
+ 427
1706
+ 00:36:03,020 --> 00:36:09,000
1707
+ ุชุจู‚ู‰ุŒ ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ ุนู†ุฏู‰ ุฅูŠุด ุชู„ุชุงุด ุฒูŠ ุงู„ุณุจุนุฉ ูˆุนู„ู‰
1708
+
1709
+ 428
1710
+ 00:36:09,000 --> 00:36:18,020
1711
+ ุงู„ุดู…ุงู„ ุนู†ุฏู‰ ุณุจุนุฉุŒ ู…ุธุจูˆุท ู‡ูŠูƒุŒ ุฅูŠุด ุจุทู„ุนุŸ ุณุชุฉ ูˆ
1712
+
1713
+ 429
1714
+ 00:36:18,020 --> 00:36:20,660
1715
+ ุชู…ุงู†ูŠุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุฃูŠ ุชู„ุงุชูŠู†
1716
+
1717
+ 430
1718
+ 00:36:25,780 --> 00:36:29,240
1719
+ ุฃู†ุง ุญุฏูŠุซู‡ุง ุจุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ุจุชุณุงูˆูŠ ูˆุงุญุฏ
1720
+
1721
+ 431
1722
+ 00:36:29,240 --> 00:36:34,940
1723
+ ู†ุงู‚ุต ู…ุงุชุจู‚ู‰ ู…ุงุชุจู‚ู‰ ุงู„ู„ูŠ ู‡ูŠ ุณุงู…ูŠู‡ุง A ุณุงู…ูŠู‡ุง B ูˆู‡ุงุฏูŠ
1724
+
1725
+ 432
1726
+ 00:36:34,940 --> 00:36:42,480
1727
+ C ู„ูˆ ุฌู…ุนุช A ูˆB ูˆC ู…ุน ุจุนุถ ุณุจุนุฉ ูˆุนุดุฑูŠู† ุณุจุนุฉ ูˆุนุดุฑูŠู†
1728
+
1729
+ 433
1730
+ 00:36:42,480 --> 00:36:47,540
1731
+ ุจุชุทู„ุน ุชู„ุงุช ุชู…ุงู†ูŠู† ุงู‡ุŸ ุงูŠู‡ ุฌู…ุน ู‡ุฏูˆู„ุŸ ุชู„ุงุชุงุดุฑ ุณุจุนุฉ
1732
+
1733
+ 434
1734
+ 00:36:47,540 --> 00:36:53,200
1735
+ ูˆุนุดุฑูŠู† ุณุจุนุฉ ูˆุนุดุฑูŠู† ู…ุด ู‡ูŠูƒุŸ ุงุด
1736
+
1737
+ 435
1738
+ 00:36:53,200 --> 00:36:53,660
1739
+ ู…ุงุชู„ุงุฒู…
1740
+
1741
+ 436
1742
+ 00:36:56,930 --> 00:37:04,510
1743
+ ุฃุฏูˆุงุฑ ุงู„ู…ุฌู…ูˆุนุฉ ูƒุฏู‡ุŸ 27 ู…ุธุจูˆุท
1744
+
1745
+ 437
1746
+ 00:37:04,510 --> 00:37:10,190
1747
+ 73 between
1748
+
1749
+ 438
1750
+ 00:37:10,190 --> 00:37:17,570
1751
+ 13 and 16 seconds ู…ู† 13 ู„ุบุงูŠุฉ 16 ุฃูˆ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ
1752
+
1753
+ 439
1754
+ 00:37:17,570 --> 00:37:25,480
1755
+ ุงุญู†ุง ุญุณุจู†ุง ุชูˆ ุจูŠู† 15 ูˆ 16 ูƒุฏู‡ุŸ 30ู‡ูŠูƒูˆู† ุจูŠู† 14 ูˆ 15
1756
+
1757
+ 440
1758
+ 00:37:25,480 --> 00:37:34,140
1759
+ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุงุฐุง ู‡ุฐู‡ 30 ูˆ ู‡ุฐู‡ 7 ู‡ุฐู‡ ูƒู…ุŸ 13 ู…ุธุจูˆุทุŸ
1760
+
1761
+ 441
1762
+ 00:37:34,140 --> 00:37:42,640
1763
+ ู‡ุฐู‡ ูƒุซูŠุฑุฉ ูˆ ููŠ ุงู„ุขุฎุฑ 30 ูˆ 30 ูˆ 13 73 ุทูŠุจ ุงู„ู„ูŠ
1764
+
1765
+ 442
1766
+ 00:37:42,640 --> 00:37:43,060
1767
+ ุจุนุฏู‡ุงุŸ
1768
+
1769
+ 443
1770
+ 00:37:53,900 --> 00:38:00,120
1771
+ ุงู„ุฎุงุตูŠุฉ ู‡ูŠ 20% ู…ู† ุงู„ูˆู‚ุช ุณูŠูƒูˆู† ุฃู‚ู„ ู…ู† ุนุฏุฉ ุซุงู†ูˆูŠุฉ
1772
+
1773
+ 444
1774
+ 00:38:00,120 --> 00:38:05,000
1775
+ ุซุงู†ูˆูŠุฉ
1776
+
1777
+ 445
1778
+ 00:38:05,000 --> 00:38:23,080
1779
+ ุฏู‚ูŠู‚ุฉ
1780
+
1781
+ 446
1782
+ 00:38:43,250 --> 00:38:47,730
1783
+ ุจูŠุญูƒูŠ ุงู„ู€ probability is 20% that the time lapse
1784
+
1785
+ 447
1786
+ 00:38:47,730 --> 00:38:51,850
1787
+ will be shorter how many secondsุŸ ุฃูŠุด ุงู„ู‚ูŠู…ุฉุŸ ุงู„ู„ูŠ
1788
+
1789
+ 448
1790
+ 00:38:51,850 --> 00:38:55,150
1791
+ ุฃู‚ู„ ู…ู†ู‡ุงุŒ shorter ุฃู‚ู„ุŒ 27%
1792
+
1793
+ 449
1794
+ 00:38:58,150 --> 00:39:02,130
1795
+ 14 ู„ุฃู†ู‡ ุทู„ุน ุงู„ู€ 14 ูŠุนู†ูŠ ู‡ูˆ ุนุงูŠุฒ probability of X
1796
+
1797
+ 450
1798
+ 00:39:02,130 --> 00:39:08,210
1799
+ less than shorter less than A equals 20% ู‡ู‰ ุงู„ู„ู‰
1800
+
1801
+ 451
1802
+ 00:39:08,210 --> 00:39:13,230
1803
+ ุฃู†ุง ุนุงูŠุฒู‡ุง what's the value of AุŸ ูˆูŠู† ููŠู‡ ุนู†ุฏูƒ 20%
1804
+
1805
+ 452
1806
+ 00:39:13,230 --> 00:39:19,250
1807
+ ุจุชูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ุŸ ููŠู‡ 7 ูˆ 13 ู‡ูŠ 20 ุงุฐุง ู‡ูˆ ูˆุฑุงู‡ุง ุฃู‚ู„
1808
+
1809
+ 453
1810
+ 00:39:19,250 --> 00:39:25,290
1811
+ ู…ู† 14 ุงุฐุง ุงู†ุง A equal 14 ุงู„ 16 ู‡ุฐุง ุฃูƒุชุฑ ู„ูˆ ุญูƒู‰
1812
+
1813
+ 454
1814
+ 00:39:25,290 --> 00:39:31,910
1815
+ shorter ู„ูˆ ุญูƒู‰ longerุจุตูŠุฑ ูŠุง 16 ูˆุงุถุญุŸ ุฅุฐุงู‹ shorter
1816
+
1817
+ 455
1818
+ 00:39:31,910 --> 00:39:38,650
1819
+ ุงู„ู„ูŠ ู‡ู†ุง ู…ุนู†ุงู‡ุง ุฃู‚ู„ ู…ู† a ู„ูˆ ูƒุงู†ุช longer ุงู„ุฌูˆุงุจ
1820
+
1821
+ 456
1822
+ 00:39:38,650 --> 00:39:45,570
1823
+ ุจูŠูƒูˆู† ู„ูˆ ุนุงูŠุฒ P
1824
+
1825
+ 457
1826
+ 00:39:45,570 --> 00:39:51,950
1827
+ of X greater than P equal to 20% what's the value
1828
+
1829
+ 458
1830
+ 00:39:51,950 --> 00:39:55,970
1831
+ of P such that P of X greater than P equal to 20%
1832
+
1833
+ 459
1834
+ 00:39:58,190 --> 00:40:06,350
1835
+ ู‚ู„ู„ูŠ 16 ู B equal 16 one
1836
+
1837
+ 460
1838
+ 00:40:06,350 --> 00:40:14,450
1839
+ more 34 the middle 60% of the time left will fall
1840
+
1841
+ 461
1842
+ 00:40:14,450 --> 00:40:18,930
1843
+ between which two numbers ุงู„ middle between for
1844
+
1845
+ 462
1846
+ 00:40:18,930 --> 00:40:24,790
1847
+ example A and B this area equals 60% ุงูŠุด ู‚ูŠู…ุฉ A ูˆ
1848
+
1849
+ 463
1850
+ 00:40:24,790 --> 00:40:33,480
1851
+ B ุจุญูŠุซ ู…ุณุงุญุฉ ุงู„ B ู… 16%ูˆุงุถุญ 60% 30 plus 30 so 14
1852
+
1853
+ 464
1854
+ 00:40:33,480 --> 00:40:37,700
1855
+ and 16 one
1856
+
1857
+ 465
1858
+ 00:40:37,700 --> 00:40:48,040
1859
+ more
1860
+
1861
+ 466
1862
+ 00:40:48,040 --> 00:40:55,380
1863
+ between c1 and c2 equals 86
1864
+
1865
+ 467
1866
+ 00:40:57,250 --> 00:41:01,310
1867
+ ู…ุง ู‡ูŠ ู‚ูŠู…ุฉ C1 ูˆC2 ุฅุฐุง ๏ฟฝ๏ฟฝุงู†ุช ู‚ูŠู…ุฉ C1 ูˆC2 ู…ุซู„ู‹ุง
1868
+
1869
+ 468
1870
+ 00:41:01,310 --> 00:41:10,450
1871
+ ุชู‚ุฑูŠุจู‹ุง 86 ู…ุง ู‡ูŠ ู‚ูŠู…ุฉ C1 ูˆC2 ู‡ูŠ
1872
+
1873
+ 469
1874
+ 00:41:10,450 --> 00:41:19,630
1875
+ 60 ู…ุธุจูˆุท ูˆู‡ูŠ 13 ูˆ13 26 ุฅุฐุง ุฅูŠุด ู‡ูŠูƒูˆู† ุชู‚ุฑูŠุจู‹ุง ุจูŠู†
1876
+
1877
+ 470
1878
+ 00:41:19,630 --> 00:41:20,750
1879
+ 13 ูˆ17
1880
+
1881
+ 471
1882
+ 00:41:29,680 --> 00:41:45,120
1883
+ ุฃูŠ ุณุคุงู„ุŸ ุทุจ ู„ูˆ ุณุฃู„ุชูƒุŒ ูƒุฏู‡ ุฃุฎู„ุต ุงู„ุณุคุงู„ ุฎู„ู‘ูŠู†ูŠ
1884
+
1885
+ 472
1886
+ 00:41:45,120 --> 00:41:53,780
1887
+ ุฃู…ุณุญ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุณุคุงู„ ุจุณูŠุทุŒ determine ุณูŠุฌู…ุง
1888
+
1889
+ 473
1890
+ 00:41:53,780 --> 00:41:57,020
1891
+ ุงุญุณุจู„ูŠ ุณูŠุฌู…ุง
1892
+
1893
+ 474
1894
+ 00:42:00,180 --> 00:42:02,880
1895
+ ู†ูุชุฑุถ ุงู† ุงู†ุง ู„ุณู‡ ู„ู‡ุฐู‡ ุงู„ุญุงู„ุงุช ูˆ ุงุฑูŠุฏ ุงู† ุงุฎุฑุฌ ุงู„ู€
1896
+
1897
+ 475
1898
+ 00:42:02,880 --> 00:42:07,860
1899
+ Sigma ู…ู…ูƒู† ุงุฎุฏ ุงูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ู…ู…ูƒู† ุงุฎุฏ P of X
1900
+
1901
+ 476
1902
+ 00:42:07,860 --> 00:42:11,980
1903
+ greater than 17 equals 7% ูˆ ุงุญู„ ุนู„ูŠู‡ุง ุฑูƒุฒูŠ ู…ุนุงูŠุง
1904
+
1905
+ 477
1906
+ 00:42:11,980 --> 00:42:21,900
1907
+ this equals 7% ู…ุธุจูˆุท ู„ุญูŠู†ู‡ุง ููŠ ุงูˆู„ ูˆุงุญุฏุฉ now this
1908
+
1909
+ 478
1910
+ 00:42:21,900 --> 00:42:22,940
1911
+ probability is given
1912
+
1913
+ 479
1914
+ 00:42:32,970 --> 00:42:40,530
1915
+ ู…ุนู†ู‰ ุจูŠูˆ ุจุงูƒุณ ุฃู‚ู„ ู…ู† ุณุจู†ุชูŠู† ู…ุงุฐุง ูŠุนู†ูŠุŸ ุงู„ุฃูƒุจุฑ
1916
+
1917
+ 480
1918
+ 00:42:40,530 --> 00:42:44,110
1919
+ ุณุจุนุฉุŒ ู…ุงุฐุง ูŠุนู†ูŠุŸ ูˆุงุญุฏ ู†ู‚ู„ ุณุจุนุฉ ุฅู„ู‰ ุชู„ุงุชุฉ ูˆุณุชูŠู† ููŠ
1920
+
1921
+ 481
1922
+ 00:42:44,110 --> 00:42:49,550
1923
+ ุงู„ู…ุงุฆุฉ ุงู„ู€ probability is givenุŒ this X is givenุŒ
1924
+
1925
+ 482
1926
+ 00:42:49,550 --> 00:42:55,630
1927
+ now convert to this scoreุฒูŠ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ
1928
+
1929
+ 483
1930
+ 00:42:55,630 --> 00:42:56,470
1931
+ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1932
+
1933
+ 484
1934
+ 00:42:56,470 --> 00:43:02,110
1935
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1936
+
1937
+ 485
1938
+ 00:43:02,110 --> 00:43:06,090
1939
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1940
+
1941
+ 486
1942
+ 00:43:06,090 --> 00:43:08,130
1943
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1944
+
1945
+ 487
1946
+ 00:43:08,130 --> 00:43:08,690
1947
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1948
+
1949
+ 488
1950
+ 00:43:08,690 --> 00:43:09,970
1951
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1952
+
1953
+ 489
1954
+ 00:43:09,970 --> 00:43:18,050
1955
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1956
+
1957
+ 490
1958
+ 00:43:18,050 --> 00:43:29,180
1959
+ ุงูƒุชุฑ ู…ู† ุงูƒุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ
1960
+
1961
+ 491
1962
+ 00:43:29,180 --> 00:43:33,540
1963
+ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰
1964
+
1965
+ 492
1966
+ 00:43:33,540 --> 00:43:33,800
1967
+ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ
1968
+
1969
+ 493
1970
+ 00:43:33,800 --> 00:43:34,580
1971
+ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96
1972
+
1973
+ 494
1974
+ 00:43:34,580 --> 00:43:37,400
1975
+ ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0
1976
+
1977
+ 495
1978
+ 00:43:37,400 --> 00:43:39,140
1979
+ .96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ
1980
+
1981
+ 496
1982
+ 00:43:39,140 --> 00:43:42,060
1983
+ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ
1984
+
1985
+ 497
1986
+ 00:43:42,060 --> 00:43:49,170
1987
+ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96So now look
1988
+
1989
+ 498
1990
+ 00:43:49,170 --> 00:44:02,550
1991
+ at 93 ุทู„ุน ุนู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู„ 93 ูู‰
1992
+
1993
+ 499
1994
+ 00:44:02,550 --> 00:44:10,190
1995
+ ุนู†ุฏู‰ 9332 ู‡ู„ ูู‰ ุฃู‚ุฑุจ ู…ู†ู‡ุง ู„ุฃ ูู‰ ุฃู‚ุฑุจ ูˆู„ุง ู„ุฃ ุชู„ุงุญุธ
1996
+
1997
+ 500
1998
+ 00:44:10,190 --> 00:44:16,990
1999
+ ูู‰ ุนู†ุฏู‰ 9306 ู‡ุฐุง ุฃู‚ุฑุจ ูˆุงุญุฏ ุชู‚ุฑูŠุจุงู‡ูŠ ููŠ ุงู„ุขุฎุฑ ุงู„ูุฑู‚
2000
+
2001
+ 501
2002
+ 00:44:16,990 --> 00:44:21,010
2003
+ ู…ุด ูƒุจูŠุฑ ุจุณ the exact .. the approximate ูŠุนู†ูŠ the
2004
+
2005
+ 502
2006
+ 00:44:21,010 --> 00:44:27,230
2007
+ more accurate answer is 0.9306 ู…ุด ู‡ุฐุง ุงู„ุฃู‚ุฑุจ ู‡ูŠูƒุŸ
2008
+
2009
+ 503
2010
+ 00:44:27,230 --> 00:44:33,230
2011
+ ุฅุฐุง ุงู†ุง ุงุดูŠ ุฌูˆุงุจ ุทุจุนู‡ุง ุฃุฑุจุนุฉ ุชุญุช ุงู„ุชู…ุงู†ูŠุฉ ุฅุฐุง ุงู„ Z
2012
+
2013
+ 504
2014
+ 00:44:33,230 --> 00:44:38,890
2015
+ ู…ู‚ุงุจู„ ู„ู‡ุฐู‡ one point four eight this is my Z this
2016
+
2017
+ 505
2018
+ 00:44:38,890 --> 00:44:39,890
2019
+ is equal to two over sigma
2020
+
2021
+ 506
2022
+ 00:44:43,220 --> 00:44:48,760
2023
+ ุฅุฐุง ุฃู†ุง ูƒู„ ู…ุง ูุนู„ุชู‡ ู‡ูˆ ุญูˆู„ุช ุงู„ู€ z-score ูˆุทู„ุนุช 93%
2024
+
2025
+ 507
2026
+ 00:44:48,760 --> 00:44:54,200
2027
+ ุทู„ุนุช ู…ู† ุงู„ู€ table ุฃู‚ุฑุจ ูˆุงุญุฏุฉ ุฅู„ู‰ 1.48 ูƒูŠู ู†ุฌุฏ
2028
+
2029
+ 508
2030
+ 00:44:54,200 --> 00:44:58,560
2031
+ ุณูŠุฌู…ุงุŸ ู†ุนู…ู„ ุนุดุงู† cross multiplication ู†ุถุฑุจ ููŠ ุจุนุถ
2032
+
2033
+ 509
2034
+ 00:44:58,560 --> 00:45:05,420
2035
+ ุถุฑุจ ุชุจุงุฏู„ ุงูŠุด
2036
+
2037
+ 510
2038
+ 00:45:05,420 --> 00:45:12,340
2039
+ ุจูŠุทู„ุน ุงู„ุญูŠู† ู„ูˆ ุจูŠุชูƒู…ู„ ุจูŠุทู„ุน 1.48 ุณูŠุฌู…ุง equal to
2040
+
2041
+ 511
2042
+ 00:45:16,010 --> 00:45:25,210
2043
+ ูˆ 1.48 ูˆ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ู‡ุฐุง ุงู„ุฅุฌุงุจุฉ 1.35 ูู‡ุฐุง ู‡ูˆ
2044
+
2045
+ 512
2046
+ 00:45:25,210 --> 00:45:30,510
2047
+ ุณูŠุฌู…ุงูƒ ุฅุฐุง
2048
+
2049
+ 513
2050
+ 00:45:30,510 --> 00:45:34,990
2051
+ ูƒู†ุง ู†ุนุฑู ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ
2052
+
2053
+ 514
2054
+ 00:45:34,990 --> 00:45:39,490
2055
+ ูŠู…ูƒู†ูƒ ุฃู† ุชุชุฎูŠู„ ุณูŠุฌู…ุง ุงู†ุง ุฃุฎุชุงุฑ ู‡๏ฟฝ๏ฟฝุง ูŠู…ูƒู†ูƒ ุฃู† ุชุฎุชุงุฑ
2056
+
2057
+ 515
2058
+ 00:45:39,490 --> 00:45:45,610
2059
+ ุฃูŠุถุง ูˆุงุญุฏุฉ ู„ุฐุง ุจูŠุจู‚ู‰ ุฃูƒุณูŠุบุฑุงุชุฑ ู…ู† 17 ูŠู‚ู„ 7%ู…ุฑุฉ
2060
+
2061
+ 516
2062
+ 00:45:45,610 --> 00:45:49,250
2063
+ ุฃุฎุฑู‰ุŒ ุงู„ู…ุฌู„ุฏ ูŠุนุทูŠ ุงู„ู…ู†ุทู‚ุฉ ู„ู„ุฌู‡ุฉ ุงู„ูŠุณุฑู‰ุŒ ู„ุฐู„ูƒ ุจูŠุจูƒุณ
2064
+
2065
+ 517
2066
+ 00:45:49,250 --> 00:45:54,350
2067
+ ุฃูƒุชุฑ ู…ู† 17 ูŠู‚ู„ 0.93. ุงู„ุขู†ุŒ ุฅุฐุง ุชู†ุธุฑ ุฅู„ู‰ ุฌุณู…
2068
+
2069
+ 518
2070
+ 00:45:54,350 --> 00:46:00,570
2071
+ ุงู„ู…ุฌู„ุฏุŒ ู„ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉุŒ ู‚ูŠู…ุชู‡ ุงู„ุฃู‚ู„ ู‡ูˆ 0.9306ุŒ 0
2072
+
2073
+ 519
2074
+ 00:46:00,570 --> 00:46:08,270
2075
+ .9306ุŒ ุงู„ู„ูŠ ูŠุชุฌุงูˆุฒ ุฅู„ู‰ 1.4 ุฃู‚ู„ 8. ู„ุฐู„ูƒุŒ ู‡ุฐุง ู‡ูˆ
2076
+
2077
+ 520
2078
+ 00:46:08,270 --> 00:46:13,320
2079
+ ู…ู‚ุงุฑู†ุฉ ุฒูŠ ู…ูŠุฒูŠุŒ 1.48. ู‡ุฐุง ูŠู‚ู„ 2 ุนู„ู‰ ุณูŠุฌู…ุง.ู„ู„ุญุตูˆู„
2080
+
2081
+ 521
2082
+ 00:46:13,320 --> 00:46:17,760
2083
+ ุนู„ู‰ ุณูŠุฌู…ุง ูู‚ุท ู†ุถูŠู .. ุฃุนู†ูŠ ุนุจุฑ ุงู„ู…ุฒูŠุฏูŠุฉ ู†ุญุตู„ ุนู„ู‰
2084
+
2085
+ 522
2086
+ 00:46:17,760 --> 00:46:22,640
2087
+ 12.48 ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† 2 ุซู… ุฃุฎูŠุฑู‹ุง ุณูŠุฌู…ุง ุฃูƒุชุฑ ู…ู† 1.35
2088
+
2089
+ 523
2090
+ 00:46:22,640 --> 00:46:26,060
2091
+ ุณุคุงู„ูŠู†
2092
+
2093
+ 524
2094
+ 00:46:26,060 --> 00:46:30,180
2095
+ .. ุชุนู„ูŠู‚ุงุช ..
2096
+
2097
+ 525
2098
+ 00:46:30,180 --> 00:46:35,140
2099
+ ุณุฃุนุทูŠูƒ ู‡ุฐุง ุงู„ู€ Z ุŒ ุงู„ู€ positive ุตุญูŠุญุŸ
2100
+
2101
+ 526
2102
+ 00:46:35,140 --> 00:46:39,720
2103
+ ุฃูŠ ุณุคุงู„ุŸ ุฏุนู†ุง
2104
+
2105
+ 527
2106
+ 00:46:39,720 --> 00:46:45,110
2107
+ ู†ุฌุฑุจู„ูˆ ุฃุฎุฏู†ุง ุฃูŠ ูˆุงุญุฏุฉ .. ุจุณ ุฎุฏ ูˆุงุญุฏุฉ ุณู‡ู„ุฉ ูŠุนู†ูŠ ..
2108
+
2109
+ 528
2110
+ 00:46:45,110 --> 00:46:48,210
2111
+ ูŠุนู†ูŠ ุชุบู„ุจูŠุด ุญุงู„ูƒ ููŠ ุงู„ .. ุฎู„ูŠู†ุง ู†ุงุฎุฏ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉุŒ
2112
+
2113
+ 529
2114
+ 00:46:48,210 --> 00:46:52,710
2115
+ ุจุฑุถู‡ ุณุคุงู„ูƒ ูƒูˆูŠุณ ุฒู…ูŠู„ุชูƒ ุงู„ู„ูŠ ุจุชุณุฃู„ ู†ุงุฎุฏ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ
2116
+
2117
+ 530
2118
+ 00:46:52,710 --> 00:46:57,690
2119
+ ุฅูŠุด ุทู„ุน ู…ุนู†ู‰ ูˆุงุญุฏุฉ ู‡ุงุฏุฉุŒ ู†ูุชุฑุถ ุจูŠ ุฅูƒุณูŠ greater
2120
+
2121
+ 531
2122
+ 00:46:57,690 --> 00:47:03,890
2123
+ than ุจูŠ equal twenty and ุจูŠ was sixteenุŒ ู…ุธุจูˆุทุŸ
2124
+
2125
+ 532
2126
+ 00:47:03,890 --> 00:47:04,710
2127
+ ุฎู„ูŠู†ุง ู†ุญู„ ุนู„ูŠู‡ุง
2128
+
2129
+ 533
2130
+ 00:47:10,760 --> 00:47:19,840
2131
+ ุจุนูŠุฏู‹ุง ุจูŠ ู ุงูƒุณ ุฃู‚ู„ ู…ู† 16 ูŠู‚ู„ ู„ู€ 20% ุจูŠ
2132
+
2133
+ 534
2134
+ 00:47:19,840 --> 00:47:25,920
2135
+ ู ุงูƒุณ ุฃู‚ู„ ู…ู† 16 ูŠู‚ู„ ู„ู€ 80% ุงู„ุขู† ุงู†ุธุฑ ุฅู„ู‰ ุงู„ู…ุนุฑูุฉ
2136
+
2137
+ 535
2138
+ 00:47:25,920 --> 00:47:33,940
2139
+ ู„ู„ู…ู‚ุงุฏู…ุฉ ุงู„ุฃู‚ู„ูŠุฉ ู„ู€ 0.80 ู†ุญู†
2140
+
2141
+ 536
2142
+ 00:47:33,940 --> 00:47:36,720
2143
+ ู„ุฏูŠู†ุง ู‡ุฐุง 7995
2144
+
2145
+ 537
2146
+ 00:47:41,150 --> 00:47:45,750
2147
+ ุฃู†ุง ุจุฏูˆุฑุฉ ุนู„ู‰ ุงู„ 8 ู…ู† ุงู„ุนุดุฑุฉ ุฌูˆุง ููŠู‡ ุฃู‚ุฑุจ ู…ู†ู‡ุง ู‡ุฐุง
2148
+
2149
+ 538
2150
+ 00:47:45,750 --> 00:47:53,930
2151
+ ุจุนุฏ ุดูˆูŠุฉ ู…ุด ู‡ูŠูƒ ุฅุฐุง ู†ุดูŠู„ ุฌูˆุงุจ ุญูˆู„ุช ู„ู„ z score 16
2152
+
2153
+ 539
2154
+ 00:47:53,930 --> 00:48:00,030
2155
+ mean equal 15 over sigma equal point eight so
2156
+
2157
+ 540
2158
+ 00:48:00,030 --> 00:48:05,510
2159
+ again one over sigma equal eighty percent now my z
2160
+
2161
+ 541
2162
+ 00:48:05,510 --> 00:48:08,350
2163
+ score again is point eight under four
2164
+
2165
+ 542
2166
+ 00:48:11,060 --> 00:48:16,040
2167
+ ู‡ุฐุง ูŠุนู†ูŠ ูˆุงุญุฏ ุนุจุฑ ุณูŠุฌู…ุง ุงุฐุง ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2168
+
2169
+ 543
2170
+ 00:48:16,040 --> 00:48:18,860
2171
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2172
+
2173
+ 544
2174
+ 00:48:18,860 --> 00:48:21,420
2175
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2176
+
2177
+ 545
2178
+ 00:48:21,420 --> 00:48:21,760
2179
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2180
+
2181
+ 546
2182
+ 00:48:21,760 --> 00:48:22,600
2183
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2184
+
2185
+ 547
2186
+ 00:48:22,600 --> 00:48:23,940
2187
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2188
+
2189
+ 548
2190
+ 00:48:23,940 --> 00:48:26,720
2191
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2192
+
2193
+ 549
2194
+ 00:48:26,720 --> 00:48:36,580
2195
+ ุนุจุงุฑุฉ
2196
+
2197
+ 550
2198
+ 00:48:43,800 --> 00:48:49,040
2199
+ ุทูŠุจ ุฅูŠุด ุงู„ุฎุทุฃ ูˆูŠู†ุŸ ู‡ุฐุง ุจูŠู‡ ูƒุงู† ุงู„ 16 ู…ุธุจูˆุท ุงูƒุณ
2200
+
2201
+ 551
2202
+ 00:48:49,040 --> 00:49:01,040
2203
+ greater than 16 equal to twenty percent ุทูŠุจ
2204
+
2205
+ 552
2206
+ 00:49:01,040 --> 00:49:01,920
2207
+ ุฅูŠุด ุงู„ุฎุทุฃ ูˆูŠู†ุŸ
2208
+
2209
+ 553
2210
+ 00:49:11,770 --> 00:49:17,490
2211
+ ู‡ุฐุง 1.35 P of X greater than P ุฅูŠุด ูƒุงู† ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ
2212
+
2213
+ 554
2214
+ 00:49:17,490 --> 00:49:25,050
2215
+ ุทู„ุนู†ุงู‡ ุงู„ู…ุซู„
2216
+
2217
+ 555
2218
+ 00:49:25,050 --> 00:49:27,630
2219
+ ุงู„ู„ูŠ ูุงุชุช ุฅูŠุด ุทู„ุน ุงู„ุฌูˆุงุจ P greater X greater than
2220
+
2221
+ 556
2222
+ 00:49:27,630 --> 00:49:34,460
2223
+ P ูƒุงู† 16 ู…ุธุจูˆุทุทุจ ู‡ูŠ 16 ู†ู‚ุณู…ูŠู‡ ุนู„ู‰ ุณูŠุฌู…ุง one over
2224
+
2225
+ 557
2226
+ 00:49:34,460 --> 00:49:38,560
2227
+ sigma ู…ู…ูƒู†
2228
+
2229
+ 558
2230
+ 00:49:38,560 --> 00:49:41,300
2231
+ approximate answer ุตุญูŠุญ ู‡ูˆ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ููŠ ุงู„ูƒุชุงุจ
2232
+
2233
+ 559
2234
+ 00:49:41,300 --> 00:49:46,540
2235
+ ุงู„ู„ูŠ ููŠ ุงู„ table point seven nine nine five ู„ูˆ
2236
+
2237
+ 560
2238
+ 00:49:46,540 --> 00:49:53,640
2239
+ ุฃุฎุฏุชู‡ุง point eight five ู…ุด ู‡ูŠุทู„ุน ุงู„ูุฑู‚ ุจุทู„ุน
2240
+
2241
+ 561
2242
+ 00:49:53,640 --> 00:49:57,380
2243
+ ุฃู‚ู„ ูˆุงุญุฏ point seventeen is not the closest answer
2244
+
2245
+ 562
2246
+ 00:49:57,380 --> 00:50:03,530
2247
+ this is equal one point nineteenุงู„ุฅุฌุงุจุฉ ุชุนุชู…ุฏ ุนู„ู‰
2248
+
2249
+ 563
2250
+ 00:50:03,530 --> 00:50:09,710
2251
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุตุญูŠุญุฉ ู„ุฌู…ุนู†ุง ูˆุงุถุญ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฅู†ู‡
2252
+
2253
+ 564
2254
+ 00:50:09,710 --> 00:50:17,510
2255
+ ู…ุงุนู†ุฏูŠุด ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ ู„ุฌู…ุนู†ุง ู„ุฃู†ู†ุง ู†ุจุญุซ ุนู† 0.80% ูˆ 0
2256
+
2257
+ 565
2258
+ 00:50:17,510 --> 00:50:22,430
2259
+ .7995 ู„ุฃู†
2260
+
2261
+ 566
2262
+ 00:50:22,430 --> 00:50:25,650
2263
+ ุงู„ุฌุฏูˆู„ ู„ุงูŠุนุทูŠู†ุง ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ ุตุญูŠุญุฉ ุทู„ุน ุงู„ูุฑู‚ ุจูŠู†ู‡ู…
2264
+
2265
+ 567
2266
+ 00:50:25,650 --> 00:50:30,170
2267
+ ูˆุงุญุฏ 1.35 ูˆุงู„ุซุงู†ูŠ 1.19 ูŠุนู†ูŠ ู„ูŠุณ ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ
2268
+
2269
+ 568
2270
+ 00:50:34,330 --> 00:50:36,430
2271
+ ุฎู„ุงุต So that's all for today
2272
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/OL_FykDI_WQ_raw.json ADDED
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@@ -0,0 +1,2304 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:24,690
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ูˆู…ู† ุซู… ุณุฃูƒู…ู„ ุงู„ู…ูˆุถูˆุน ุงู„ุฃุฎูŠุฑ
4
+
5
+ 2
6
+ 00:00:24,690 --> 00:00:31,370
7
+ ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุฏุณุฉ ูˆุงู„ุชูŠ ุชุชุนุงู…ู„ ู…ุน ุนุงุฏูŠุฉ ุนุงุฏูŠุฉ ูŠุนู†ูŠ
8
+
9
+ 3
10
+ 00:00:31,370 --> 00:00:37,210
11
+ ูƒูŠู ุจุฏุฃ ุฃุนุฑู ุฅู† ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ ู…ุด ุทุจูŠุนูŠุŸ ุฒูŠ ู…ุง
12
+
13
+ 4
14
+ 00:00:37,210 --> 00:00:39,090
15
+ ุญูƒูŠู†ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุนุฉุŒ ู„ูŠุณ ูƒู„ ุงู„ู…ูˆุงุตูุงุช ุงู„ู…ุณุชู…ุฑุฉ
16
+
17
+ 5
18
+ 00:00:39,090 --> 00:00:45,050
19
+ ุนุงุฏูŠุฉ ุนุงุฏูŠุฉ ูŠุนู†ูŠ ุฑุจู…ุง ุงู„ุจูŠุงู†ุงุช ุงู„ุชูŠ ู„ุฏูŠู†ุง ู„ูŠุณุช
20
+
21
+ 6
22
+ 00:00:45,050 --> 00:00:50,650
23
+ ุนุงุฏูŠุฉ ุฃูˆ ุนุงุฏูŠุฉุชู‚ุฑุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชุนู…ุฑุฉ ุฃูˆ
24
+
25
+ 7
26
+ 00:00:50,650 --> 00:00:55,510
27
+ ู„ุง ูŠูˆุฌุฏ ุจุนุถ ุงู„ู‚ูˆุงุนุฏ ู„ุชู‚ุฑุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช
28
+
29
+ 8
30
+ 00:00:55,510 --> 00:01:03,230
31
+ ู…ุณุชุนู…ุฑุฉ ุฃูˆ ู…ุณุชุนู…ุฑุฉ ุชู‚ุฑูŠุจู‹ุง ู†ุนุฑู ุฃู† ุงู„ู…ุณุชุนู…ุฑ
32
+
33
+ 9
34
+ 00:01:03,230 --> 00:01:06,650
35
+ ุงู„ู…ุณุชุนู…ุฑ ูŠุจุฏูˆ ู…ุซู„ ุจุงู„ุดูŠุจุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู…ุชุณุงูˆู… ุญูˆู„
36
+
37
+ 10
38
+ 00:01:06,650 --> 00:01:11,830
39
+ ุงู„ู…ูŠุงู† ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฌู…ูŠุน ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุฑูƒุฒูŠุฉ
40
+
41
+ 11
42
+ 00:01:11,830 --> 00:01:15,890
43
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู†
44
+
45
+ 12
46
+ 00:01:15,890 --> 00:01:17,090
47
+ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู†
48
+
49
+ 13
50
+ 00:01:17,090 --> 00:01:17,230
51
+ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู†
52
+
53
+ 14
54
+ 00:01:17,230 --> 00:01:17,230
55
+ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู†
56
+
57
+ 15
58
+ 00:01:17,230 --> 00:01:20,220
59
+ ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชุณุงูˆู…ูŠู† ู…ุชู„ู„ุชู†ู…ูŠุฉ ุงู„ุทุจูŠุนูŠุฉุŒ
60
+
61
+ 16
62
+ 00:01:20,220 --> 00:01:28,500
63
+ ูŠู…ูƒู†ู†ุง ุชุทุจูŠู‚ ุงู„ู‚ูˆุงุนุฏ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชูŠ ู‡ูŠ 6895 ูˆ99.7%
64
+
65
+ 17
66
+ 00:01:28,500 --> 00:01:31,620
67
+ ูˆุฃูŠุถู‹ุง
68
+
69
+ 18
70
+ 00:01:31,620 --> 00:01:32,980
71
+ ุนู…ู„ ุงู„ุชู†ู…ูŠุฉ ุงู„ุทุจูŠุนูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
72
+
73
+ 19
74
+ 00:01:32,980 --> 00:01:36,280
75
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
76
+
77
+ 20
78
+ 00:01:36,280 --> 00:01:36,680
79
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
80
+
81
+ 21
82
+ 00:01:36,680 --> 00:01:38,340
83
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
84
+
85
+ 22
86
+ 00:01:38,340 --> 00:01:40,640
87
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
88
+
89
+ 23
90
+ 00:01:40,640 --> 00:01:40,640
91
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
92
+
93
+ 24
94
+ 00:01:40,640 --> 00:01:40,640
95
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
96
+
97
+ 25
98
+ 00:01:40,640 --> 00:01:40,640
99
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
100
+
101
+ 26
102
+ 00:01:40,640 --> 00:01:43,840
103
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌ
104
+
105
+ 27
106
+ 00:01:44,830 --> 00:01:55,850
107
+ ูˆู‡ูˆ Q3-Q1 ูŠุฌุจ ุฃู† ูŠูƒูˆู† 1.33 ุณูŠุฌู…ุง ุงุฐุง IQR ูŠู‚ู„ 1.33
108
+
109
+ 28
110
+ 00:01:55,850 --> 00:02:01,170
111
+ ุณูŠุฌู…ุง ููŠู…ูƒู†ูƒ ุงู† ุชู‚ูˆู„ ุงู† ุงู„ุจูŠุงู†ุงุช ู…ุณุชุนู…ู„ุฉ ุจุดูƒู„ ุนุงู…
112
+
113
+ 29
114
+ 00:02:01,170 --> 00:02:07,750
115
+ ูู‡ูˆ ูƒูŠู ู†ุณุชุนู…ู„ ุงู„ุชุนุงู…ู„ ุจุดูƒู„ ุนุงู…
116
+
117
+ 30
118
+ 00:02:15,250 --> 00:02:20,690
119
+ ุจุงู„ุฅุถุงูุฉ ู†ุณุชุทูŠุน ุฃู† ู†ุตู†ุน ุฑู‚ู…ูŠู† ู„ุฏูŠู†ุง ููŠ ุงู„ูˆุงู‚ุน
120
+
121
+ 31
122
+ 00:02:20,690 --> 00:02:25,510
123
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
124
+
125
+ 32
126
+ 00:02:25,510 --> 00:02:26,290
127
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
128
+
129
+ 33
130
+ 00:02:26,290 --> 00:02:30,090
131
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
132
+
133
+ 34
134
+ 00:02:30,090 --> 00:02:30,270
135
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
136
+
137
+ 35
138
+ 00:02:30,270 --> 00:02:30,510
139
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
140
+
141
+ 36
142
+ 00:02:30,510 --> 00:02:36,030
143
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
144
+
145
+ 37
146
+ 00:02:36,030 --> 00:02:40,670
147
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุช
148
+
149
+ 38
150
+ 00:02:43,350 --> 00:02:47,610
151
+ ู†ุญู† ู†ุชูƒู„ู… ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ูู‚ุท ุจุงูƒุณ ุจู„ูˆุช ูู†ุฑูƒุฒ ุนู„ู‰
152
+
153
+ 39
154
+ 00:02:47,610 --> 00:02:52,490
155
+ ุจุงูƒุณ ุจู„ูˆุช ู„ุชุญู‚ู‚ ุงู„ุณูŠู…ุงุชุฑูŠุฉ ู„ุฐู„ูƒ ู„ุฌู‡ุฉ ุตุบูŠุฑุฉ ูˆู…ุฏุฑุนุฉ
156
+
157
+ 40
158
+ 00:02:52,490 --> 00:02:56,730
159
+ ู…ู† ุงู„ุจูŠุงู†ุงุช ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… ุจุงูƒุณ ุจู„ูˆุช ูˆู†ุนุฑู ุฃู† ุฅุฐุง
160
+
161
+ 41
162
+ 00:02:56,730 --> 00:03:02,610
163
+ ูƒุงู†ุช ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุตุทู„ุญ ูˆุงู„ุฃุตุบุฑ ู‡ูŠ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู†
164
+
165
+ 42
166
+ 00:03:02,610 --> 00:03:06,830
167
+ ุงู„ู…ุตุทู„ุญ ูˆุงู„ุฃูƒุจุฑ ูู†ุณุชุทูŠุน ุฃู† ู†ู‚ูˆู„ ุฅู† ุงู„ุจูŠุงู†ุง๏ฟฝ๏ฟฝ ุนุงู…ุฉ
168
+
169
+ 43
170
+ 00:03:06,830 --> 00:03:10,790
171
+ ูˆู…ุดุงุฑูƒุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฐู„ูƒ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุขุฎุฑ ุฅุฐุง
172
+
173
+ 44
174
+ 00:03:10,790 --> 00:03:12,470
175
+ ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ูƒุงููŠุฉ
176
+
177
+ 45
178
+ 00:03:14,670 --> 00:03:19,250
179
+ ุจุนุฏ ุฐู„ูƒ ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ู‡ูŠุณุชุฌุฑุงู… ุฅุฐุง ูƒุงู† ุงู„ู‡ูŠุณุชุฌุฑุงู…
180
+
181
+ 46
182
+ 00:03:19,250 --> 00:03:22,070
183
+ ูŠุจุฏูˆ ู…ุซู„ ุจูŠู„ุดูŠู ููŠู…ูƒู†ูƒ ุฃู† ุชู‚ูˆู„ ุฃู† ุงู„ุจูŠุงู†ุงุช ุนุงู…ุฉ
184
+
185
+ 47
186
+ 00:03:22,070 --> 00:03:26,310
187
+ ู…ูˆุงุตู„ุฉ ุจุงู„ู†ุณุจุฉ ู„ู†ุง ุจุฅุถุงูุฉ ุฃู†ู†ุง ู†ุณุชุฎุฏู… ุจุนุถ
188
+
189
+ 48
190
+ 00:03:26,310 --> 00:03:33,390
191
+ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุชุตุฑูŠุญูŠุฉ ู…ุซู„ ู…ูŠู†ุŒ ู…ูŠุฏูŠุง ูˆู…ูˆุฏ ูŠุฌุจ ุฃู†
192
+
193
+ 49
194
+ 00:03:33,390 --> 00:03:38,670
195
+ ุชูƒูˆู† ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุดุงุฑูƒุฉ ู…ุน ู‚ูŠู… ู…ุดุงุฑูƒุฉ ูƒู…ุง
196
+
197
+ 50
198
+ 00:03:38,670 --> 00:03:45,160
199
+ ุฐูƒุฑู†ุง ุฃูŠุถุงุฃุชุณุฃู„ ู†ูุณูƒ ู‡ู„ IQR ุชู‚ุฑูŠุจู‹ุง 1.33 ุณูŠุฌู…ุงุŸ
200
+
201
+ 51
202
+ 00:03:45,160 --> 00:03:53,660
203
+ ู†ุญู† ุฃูŠุถู‹ุง ู„ุฏูŠู†ุง ุงู„ูˆุถุน ุงู„ู„ูŠ ู‡ูˆ ุฃูƒุจุฑ ุฃูˆ ุฃูƒุจุฑ ู…ู† ุฃู‚ู„
204
+
205
+ 52
206
+ 00:03:53,660 --> 00:03:59,560
207
+ ู…ู† ุฃู‚ู„ ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุงู„ูุชุฑุฉ ุฃู‚ู„ 6 ุณูŠุฌู…ุงุŒ ูู‡ู†ุงูƒ
208
+
209
+ 53
210
+ 00:03:59,560 --> 00:04:02,340
211
+ ุฃูŠุถู‹ุง ุชูˆุฒูŠุน ุทุจูŠุนูŠุŒ ู„ุฐู„ูƒ ู„ุฏูŠู†ุง ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู‚ูˆุงู†ูŠู†
212
+
213
+ 54
214
+ 00:04:02,340 --> 00:04:08,100
215
+ ู„ุชุญู‚ู‚ ุฃูˆ ุชุญู‚ู‚ ุทุจูŠุนูŠ ู…ุฌู…ูˆุนุฉ ุฃุณุงุณูŠุฉ
216
+
217
+ 55
218
+ 00:04:11,060 --> 00:04:13,700
219
+ ุจุฅู…ูƒุงู†ู†ุง ุฃูŠุถู‹ุง ุฃู† ู†ุณุชุฎุฏู… ุงู„ู‚ูˆุงุนุฏ ุงู„ุงู†ุจุนุงุซูŠุฉ ุฅุฐุง
220
+
221
+ 56
222
+ 00:04:13,700 --> 00:04:18,220
223
+ ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชุนู…ู„ุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฃู† ุชู‚ุฑูŠุจู‹ุง
224
+
225
+ 57
226
+ 00:04:18,220 --> 00:04:24,240
227
+ ุชู‚ุฑูŠุจู‹ุง ุชู‚ุฑูŠุจู‹ุง ุชู‚ุฑูŠุจู‹ุง ุชู‚ุฑูŠุจู‹ุง 68%
228
+
229
+ 58
230
+ 00:04:32,190 --> 00:04:37,010
231
+ ุงู„ู‚ูŠู… ุฃูˆ ู‚ูŠู… ุงู„ุจูŠุงู†ุงุช ุฃูˆ ุงู„ู…ู„ุงุญุธุงุช ู…ูˆุฌูˆุฏุฉ ููŠ ูˆุงุญุฏ
232
+
233
+ 59
234
+ 00:04:37,010 --> 00:04:40,570
235
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุนุงู…ุฉ ุฃูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุนุงู…ุฉ
236
+
237
+ 60
238
+ 00:04:40,570 --> 00:04:48,790
239
+ ู…ู† ุงู„ู…ุฌุชู…ุน ุŒ ู„ุฐู„ูƒ ู†ุนุฑู 68% ูˆู†ุนุฑู 95% 95% ู…ู†
240
+
241
+ 61
242
+ 00:04:48,790 --> 00:04:54,270
243
+ ุงู„ู…ู„ุงุญุธุงุช ู…ูˆุฌูˆุฏุฉ ููŠ 2 ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู† ุงู„ู…ุฌุชู…ุน
244
+
245
+ 62
246
+ 00:04:56,000 --> 00:05:00,320
247
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุฃุฎูŠุฑุฉ ู„ุชุญูƒูŠ
248
+
249
+ 63
250
+ 00:05:00,320 --> 00:05:03,000
251
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุนู„ูˆู…ุงุช ู…ุณุชู‚ูŠู…ุฉ ุจุดูƒู„ ุนุงุฏู„ ูŠู…ูƒู†ู†ุง ุชุญู‚ูŠู‚
252
+
253
+ 64
254
+ 00:05:03,000 --> 00:05:06,700
255
+ ุดูŠุก ูŠุณู…ู‰ Normal Probability Plot ู„ุฐู„ูƒ ุณุฃุนุทูŠูƒู… ุงู„ู€
256
+
257
+ 65
258
+ 00:05:06,700 --> 00:05:10,320
259
+ Plot ุจู…ุดุงู‡ุฏุฉ ุงู„ู€ Plot ูŠู…ูƒู†ูƒ ุฃู† ุชู‚ูˆู„ ุฅู† ุงู„ู…ุนู„ูˆู…ุงุช
260
+
261
+ 66
262
+ 00:05:10,320 --> 00:05:12,380
263
+ ุจุดูƒู„ ุนุงุฏูŠ ุจุดูƒู„ ุนุงุฏู„ ู‚ุงุนุฏุฉ ุงู„ู€ Rule of Thumb
264
+
265
+ 67
266
+ 00:05:12,380 --> 00:05:16,900
267
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ู„ูŠ ุจู†ุดุชุบู„ ุนู„ูŠู‡ุง ู‡ู„ ุงู„ู€ Probability Plot
268
+
269
+ 68
270
+ 00:05:16,900 --> 00:05:21,020
271
+ ุนุงุฏู„ ุจุดูƒู„ ุนุงุฏู„ุŸ ุฅุฐุง ุงู„ุฑุณู… ุงู„ู„ูŠ ุฃุนุทูŠูƒูŠู‡ุง ุดูƒู„ ุฎุท
272
+
273
+ 69
274
+ 00:05:21,020 --> 00:05:23,500
275
+ ู…ุณุชู‚ูŠู… ุซู…
276
+
277
+ 70
278
+ 00:05:25,030 --> 00:05:28,810
279
+ ุจุฅู…ูƒุงู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ุงู„ุจูŠุงู†ุงุช ู…ุณุชุนู…ู„ุฉ ุจุดูƒู„ ุนุงู… ูˆูŠุฌุจ
280
+
281
+ 71
282
+ 00:05:28,810 --> 00:05:34,190
283
+ ุฃู† ุชูƒูˆู† ุงู„ุฎุทูˆุฉ ู…ุณุชุนู…ู„ุฉ ุจุฎุทูˆุท ู…ููŠุฏุฉ ูู‡ุฐุง ุงู„ู€
284
+
285
+ 72
286
+ 00:05:34,190 --> 00:05:38,070
287
+ probability plot ุนุงู… ุณุฃุนุทูŠูƒ ุงู„ู€ plot ุซู… ูู‚ุท ุงู†ุธุฑ
288
+
289
+ 73
290
+ 00:05:38,070 --> 00:05:41,250
291
+ ุฅู„ู‰ ุงู„ุจูŠุงู†ุงุช ุฅุฐุง ูƒุงู†ุช ุงู„ู†ู‚ุทุฉ ุชุชุฌู‡ ุฅู„ู‰ ุฎุทูˆุท ู…ุณุชุนู…ู„ุฉ
292
+
293
+ 74
294
+ 00:05:41,250 --> 00:05:49,670
295
+ ุจุฎุทูˆุท ู…ููŠุฏุฉ ุจุฎุทูˆุท ู…ููŠุฏุฉ ูŠุนู†ูŠ ุฃู† ุงู„ุฎุทูˆุท ุชุชุฌู‡ ู…ู†ู…ู†
296
+
297
+ 75
298
+ 00:05:49,670 --> 00:05:53,270
299
+ ุงู„ุฃุณูู„ ุฅู„ู‰ ุงู„ุฃุนู„ู‰ ููŠ ู‡ุฐู‡ ุงู„ุงุชุฌุงู‡ุฉ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง
300
+
301
+ 76
302
+ 00:05:53,270 --> 00:05:58,250
303
+ ู„ุฏูŠู†ุง ู…ุณุชู‚ุจู„ ู…ูŠู„ูŠ ู…ูˆุฌุจ ุชุนุฑู ู‡ุฐุง ู…ูŠู„ูŠ ู…ูˆุฌุจ ู…ุด ู‡ูŠูƒ
304
+
305
+ 77
306
+ 00:05:58,250 --> 00:06:03,690
307
+ ู‡ุฐุง ุฎุท ู…ุณุชู‚ูŠู… ู…ูŠู„ูŠ ู…ูˆุฌุจ ู„ุฏูŠู‡ ู…ุณุชู‚ุจู„ ู…ูŠู„ูŠ ู…ูˆุฌุจ ุฅุฐุง
308
+
309
+ 78
310
+ 00:06:03,690 --> 00:06:05,810
311
+ ูƒุงู†ุช ุงู„ุจุฑูˆุจูŠู„ุชุจู„ุงุช ุนุงุฏูŠุฉ ุชุจุฏูˆ ู…ุซู„ ู‡ุฐู‡ ุงู„ู„ุญุธุฉ
312
+
313
+ 79
314
+ 00:06:05,810 --> 00:06:10,410
315
+ ุงู„ุตุญูŠุญุฉ ุฃุนู†ูŠ ุฃู† ุงู„ูˆุถุน ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุฅู…ุง ููŠ ุงู„ู„ุญุธุฉ ุฃูˆ
316
+
317
+ 80
318
+ 00:06:10,410 --> 00:06:13,850
319
+ ู‚ุฑูŠุจ ุฌุฏู‹ุง ู…ู† ุงู„ู„ุญุธุฉ ุซู… ุจุฅู…ูƒุงู†ูƒ ุฃู† ุชู‚ูˆู„ ุฃู† ุงู„ุจูŠุงู†ุงุช
320
+
321
+ 81
322
+ 00:06:13,850 --> 00:06:18,400
323
+ ุนุงุฏูŠุฉ ู…ุณุชุนู…ู„ุฉ ู„ุฏูŠู†ุง ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ู‚ูˆุงู†ูŠู†in order to
324
+
325
+ 82
326
+ 00:06:18,400 --> 00:06:21,060
327
+ determine if the data is normally distributed or
328
+
329
+ 83
330
+ 00:06:21,060 --> 00:06:26,980
331
+ not ุฅุฐุง ุงู„ู…ู„ุฎุต ุงู„ุขู† ููŠ ุนู†ุฏูŠ ู‚ุฏุฉ ู‚ูˆุงุนุฏ ู„ู„ุญูƒู… ุฅู† ุงู„
332
+
333
+ 84
334
+ 00:06:26,980 --> 00:06:31,660
335
+ data is normal ู…ู†ู‡ุง ุดูŠ ุฑุณู… ูˆุดูŠ ุญุณุงุจุงุช ุงู„ุญุณุงุจุงุช
336
+
337
+ 85
338
+ 00:06:31,660 --> 00:06:35,660
339
+ ุณู‡ู„ุฉ ุฃู† ุงู„ IQR ุจูŠุณุงูˆูŠ 1.33 ุณูŠุฌู…ุง ูˆ ุงู„ range 6
340
+
341
+ 86
342
+ 00:06:35,660 --> 00:06:39,080
343
+ ุณูŠุฌู…ุง ูˆ ุงู„ mean ูˆ ุงู„ median ูˆ ุงู„ mod ู…ุงู„ู‡ู… ุญูˆุงู„ูŠู†
344
+
345
+ 87
346
+ 00:06:39,080 --> 00:06:41,640
347
+ ุจุนุถ ู‡ุฏูˆู„ ุงู„ measures
348
+
349
+ 88
350
+ 00:06:46,560 --> 00:06:54,960
351
+ ุงู„ู…ู‡ู… ู‡ูˆ 68.95% ูˆ99.7% ุชู†ุณู‰ ุญูˆุงู„ูŠ 80% ูŠู‚ูˆู„ ุฃู† 80%
352
+
353
+ 89
354
+ 00:06:54,960 --> 00:06:59,260
355
+ ู…ู† ุงู„ุจูŠุงู†ุงุช ู…ูˆุฌูˆุฏุฉ ููŠ 1.28% ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู† ุงู„ู…ูŠุงู†ุฉ
356
+
357
+ 90
358
+ 00:06:59,260 --> 00:07:09,580
359
+ ูู‚ุท ู†ุฑูƒุฒ ุนู„ู‰ 68.95% ูˆ99.7% ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
360
+
361
+ 91
362
+ 00:07:09,580 --> 00:07:12,520
363
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
364
+
365
+ 92
366
+ 00:07:12,520 --> 00:07:12,540
367
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
368
+
369
+ 93
370
+ 00:07:12,540 --> 00:07:12,900
371
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
372
+
373
+ 94
374
+ 00:07:12,900 --> 00:07:12,900
375
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
376
+
377
+ 95
378
+ 00:07:12,900 --> 00:07:15,100
379
+ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ู…ู‚ุงุฑู„ู„ุฎุทูˆุท ุงู„ุตุบูŠุฑุฉ ูˆุงู„ุตุบูŠุฑุฉ ูŠู…ูƒู†ู†ุง
380
+
381
+ 96
382
+ 00:07:15,100 --> 00:07:19,220
383
+ ุงุณุชุฎุฏุงู… ุจุงูƒุณ ุจู„ุงุช ู„ุจูŠุงู†ุงุช ูƒุจูŠุฑุฉ ูŠุณุชุฎุฏู… ุงู„ู‡ูŠุณุชุฌุฑุงู…
384
+
385
+ 97
386
+ 00:07:19,220 --> 00:07:22,240
387
+ ุจุงู„ุฅุถุงูุฉ ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ุดูŠุก ูŠุณู…ู‰ ุจูŠุงู†ุงุช ุนุงุฏูŠุฉ
388
+
389
+ 98
390
+ 00:07:22,240 --> 00:07:25,100
391
+ ุงุณุชุฎุฏุงู… ุงู„ู‡ูŠุณุชุฌุฑุงู… ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชุณู‚ุท ุนู„ู‰ ุญุงู„ุฉ
392
+
393
+ 99
394
+ 00:07:25,100 --> 00:07:30,360
395
+ ุฃุณู„ูˆุจ ู…ุน ูƒู„ุง ุงู„ู‡ูŠุณุชุฌุฑุงู… ูŠุณุชุฎุฏู… ุจูŠุงู†ุงุช ุนุงุฏูŠุฉ
396
+
397
+ 100
398
+ 00:07:30,360 --> 00:07:33,900
399
+ ุงุณุชุฎุฏุงู… ุงู„ู‡ูŠุณุชุฌุฑุงู… ู‡ุฐุง ูƒู„ ุดูŠุก ู„ูƒูŠู ู†ุณุชุฎุฏู… ุนุงุฏูŠุฉ
400
+
401
+ 101
402
+ 00:07:33,900 --> 00:07:34,860
403
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช
404
+
405
+ 102
406
+ 00:07:34,860 --> 00:07:38,960
407
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช
408
+
409
+ 103
410
+ 00:07:38,960 --> 00:07:43,370
411
+ ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจูŠุงู†ุงุช ุจNormal
412
+
413
+ 104
414
+ 00:07:43,370 --> 00:07:48,450
415
+ probability plot looks like linear ู…ุธุจูˆุท ุงู„ุดูƒู„
416
+
417
+ 105
418
+ 00:07:48,450 --> 00:07:53,370
419
+ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจุง ุฎุท ู…ุณุชู‚ูŠู…ูŠ ุนู„ู‰ ุงู„ points ุนู„ู‰ ุงู„ุฎุท
420
+
421
+ 106
422
+ 00:07:53,370 --> 00:07:58,330
423
+ ุจุนุฏูŠู† ุจุธ ููŠ ุงู„ slope ู…ุนู†ุงู‡ ูƒุฏู‡ is normal ุงุฐุง a
424
+
425
+ 107
426
+ 00:07:58,330 --> 00:08:02,510
427
+ normal probability plotููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ุจูŠุงู†ุงุช ู…ู†
428
+
429
+ 108
430
+ 00:08:02,510 --> 00:08:07,730
431
+ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ุณุชูƒูˆู† ุชู‚ุฑูŠุจุง ุฎุท ู…ุณุชู‚ูŠู…ุŒ ู„ูŠุณ ุชู‚ุฑูŠุจุง ุฎุท
432
+
433
+ 109
434
+ 00:08:07,730 --> 00:08:12,170
435
+ ู…ุณุชู‚ูŠู…ุŒ ู„ูƒู† ุชู‚ุฑูŠุจุง ุฎุท ู…ุณุชู‚ูŠู…ุŒ ูˆุงุถุญุŸ ู…ุด ุจุฏูˆุฑู‡ุง ุฎุท
436
+
437
+ 110
438
+ 00:08:12,170 --> 00:08:15,630
439
+ ุจุงู„ุธุจุท ุฎุท ู…ุณุชู‚ูŠู…ุŒ ู„ูƒู† ู‡ุฐุง ู…ุนู†ุงู‡ ุฃู† ุงู„ู€points ู…ู…ูƒู†
440
+
441
+ 111
442
+ 00:08:15,630 --> 00:08:20,090
443
+ ุชูƒูˆู† ุนู„ู‰ ุงู„ู€line ู…ู…ูƒู† ุดูˆูŠู‡ ุฃุนู„ู‰ุŒ ุจุณ ุงู„ู€deviation
444
+
445
+ 112
446
+ 00:08:20,090 --> 00:08:24,870
447
+ from the point to the straight line is smallูŠุนู†ูŠ
448
+
449
+ 113
450
+ 00:08:24,870 --> 00:08:28,370
451
+ ุงู†ุญุงู ุนู† ุงู„ุฎุท ู…ุณุชู‚ูŠู… ุจูŠู† ุงู„ data ูˆุงู„ุฎุท ูŠูƒูˆู† ู…ุงู„ู‡
452
+
453
+ 114
454
+ 00:08:28,370 --> 00:08:32,030
455
+ ุตุบูŠุฑ ู…ุง ูƒุฏู‡ ุงู„ data is normally distributed now if
456
+
457
+ 115
458
+ 00:08:32,030 --> 00:08:37,070
459
+ you look at these three graphs now none of them
460
+
461
+ 116
462
+ 00:08:37,070 --> 00:08:42,550
463
+ has a straight line one of them left skewed
464
+
465
+ 117
466
+ 00:08:42,550 --> 00:08:46,370
467
+ because the left tail is longer here so the left
468
+
469
+ 118
470
+ 00:08:46,370 --> 00:08:50,770
471
+ one is called left skewed the other graph also is
472
+
473
+ 119
474
+ 00:08:50,770 --> 00:08:56,050
475
+ not linearูˆุงู„ุทุฑูŠู‚ ุงู„ูŠุณ ุฃูƒุชุฑ ู…ู† ุงู„ุทุฑูŠู‚ ุงู„ูŠุณุฑู‰ ู„ุฐู„ูƒ
476
+
477
+ 120
478
+ 00:08:56,050 --> 00:09:02,990
479
+ ูŠุชุฌู‡ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ูŠุณุฑู‰ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง ุจูŠู„ ุดูŠุจุช ู‡ุฐุง
480
+
481
+ 121
482
+ 00:09:02,990 --> 00:09:07,410
483
+ ูŠุนู†ูŠ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู†ุณุจุฉ ุนุงุฏูŠุฉ ูุฅุฐุง
484
+
485
+ 122
486
+ 00:09:07,410 --> 00:09:11,110
487
+ ุงู„ุจูŠุงู†ุงุช ู„ู„ู†ุณุจุฉ ู„ู†ุณุจุฉ ุนุงุฏูŠุฉ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ุงุชุฌุงุฑุงุช
488
+
489
+ 123
490
+ 00:09:11,110 --> 00:09:14,270
491
+ ุงู„ุตุญูŠุญุฉ ู…ุน ู…ุฌู…ูˆุนุฉ ุจูˆุฒูˆุฒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง
492
+
493
+ 124
494
+ 00:09:14,270 --> 00:09:17,910
495
+ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ููŠ ุงู„ุซุงู†ูˆูŠุฉ ุงู„ููŠุฏูŠูˆู‡ุงุช ุงู„ุฃุฎุฑู‰
496
+
497
+ 125
498
+ 00:09:17,910 --> 00:09:21,670
499
+ ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุฅู…ุง ุงุชุฌุงุฑุฉ ุงู„ูŠุณุฑู‰ ุฃูˆ ุงุชุฌุงุฑุฉ ุงู„ูŠุณุฑู‰
500
+
501
+ 126
502
+ 00:09:24,120 --> 00:09:28,900
503
+ ุงู„ุงุฎูŠุฑ ูŠุดุจู‡ ุดูŠุก ูŠุณู…ู‰ S-curve S-curve ู„ูŠุณ ู„ูŠู†ูŠุงุฑุŒ
504
+
505
+ 127
506
+ 00:09:28,900 --> 00:09:34,840
507
+ ุดูƒู„ ุญุฑู ุงู„ู€S ูŠุณู…ู‰ ุฑูƒุชุงู†ุฌูˆู„ุงุฑุŒ ู„ูŠุณ ู„ูŠู†ูŠุงุฑุŒ ู„ุฐู„ูƒ
508
+
509
+ 128
510
+ 00:09:34,840 --> 00:09:38,760
511
+ ูŠุดุจู‡ ุชู†ู‚ู„ ู…ู† ุงู„ุทุจูŠุนุฉ ุฅุฐุง ุนู„ู‰ ุฃุณุงุณ ูŠูƒูˆู† ุฎุท ู…ุณุชู‚ูŠู…ุŒ
512
+
513
+ 129
514
+ 00:09:38,760 --> 00:09:44,420
515
+ ุฃุณุงุณ ูŠูƒูˆู† ุทุจูŠุนุฉ ู„ุงุฒู… ูŠูƒูˆู† ุฎุท ู…ุณุชู‚ูŠู… ุฒูŠ ู‡ูŠูƒ ุฃูˆ ู‚ุฑูŠุจ
516
+
517
+ 130
518
+ 00:09:44,420 --> 00:09:50,580
519
+ ู…ู† ุฎุท ู…ุณุชู‚ูŠู… ุฃูŠ ุดูƒู„ ุชุงู†ูŠ ู…ุนู†ุงู‡ ุฅูŠุดุŸู†ุงู† ู„ูŠู†ูŠุงุฑ ุจุณ
520
+
521
+ 131
522
+ 00:09:50,580 --> 00:09:53,220
523
+ ู„ุฃ ุฅุฐุง ูƒุงู† ู†ุงู† ู„ูŠู†ูŠุงุฑ ูŠุฌุจ ุฃู† ู†ุนุฑู ุฅุฐุง ูƒุงู† ู„ูุช ุฃูˆ
524
+
525
+ 132
526
+ 00:09:53,220 --> 00:09:58,460
527
+ ุฑุงูŠุช ุณูƒูˆุช ู„ูุช ูŠุนู†ูŠ ุฃู† ุงู„ู€ left tail is longer than
528
+
529
+ 133
530
+ 00:09:58,460 --> 00:10:02,540
531
+ the right tail and for right skewed right tail is
532
+
533
+ 134
534
+ 00:10:02,540 --> 00:10:06,300
535
+ longer than the left tail. So that's all for
536
+
537
+ 135
538
+ 00:10:06,300 --> 00:10:10,040
539
+ evaluating normality. I will give a specific
540
+
541
+ 136
542
+ 00:10:10,040 --> 00:10:12,960
543
+ example in order to determine if the data is
544
+
545
+ 137
546
+ 00:10:12,960 --> 00:10:20,200
547
+ normal or not by using these rules.ุงู„ุขู†ุŒ ุฅุฐุง ูƒุงู†
548
+
549
+ 138
550
+ 00:10:20,200 --> 00:10:23,620
551
+ ูˆุงุญุฏ ู…ู† ู‡ุฐู‡ ุงู„ู‚ูˆุงุนุฏ ู…ุฎุงุทุฑุŒ ูุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ู…ุณุชุนู…ุฑุฉ
552
+
553
+ 139
554
+ 00:10:23,620 --> 00:10:26,620
555
+ ุจุดูƒู„ ุนุงู…ุŒ ูŠุนู†ูŠ ู„ูˆ ูˆุงุญุฏ ู…ู† ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ู…ุด
556
+
557
+ 140
558
+ 00:10:26,620 --> 00:10:30,700
559
+ ู…ุชุญู‚ู‚ุŒ ู…ุน ูƒุฏู‡ ุงู„ุจูŠุงู†ุงุช ู…ุด ุนุงู…ุฉุŒ ูŠุนู†ูŠ ู…ุงููŠุด ุฌุงุน
560
+
561
+ 141
562
+ 00:10:30,700 --> 00:10:35,020
563
+ ูŠุญุณุจ ูƒู„ ู‡ุฏูˆู„ ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ู…ุŒ ูˆุงุญุฏุฉ ู…ู†ู‡ู… is enough
564
+
565
+ 142
566
+ 00:10:35,020 --> 00:10:38,100
567
+ in order to determine if the data is normal ูˆุงุถุญ
568
+
569
+ 143
570
+ 00:10:38,100 --> 00:10:42,440
571
+ ูŠุนู†ูŠุŒ ู…ุด ุดุฑุทุฃุนู…ู„ู‡ู… ูƒุงุดู ู„ู„ูƒู„ ุจุนู…ู„ ุงุฎุชุจุงุฑ ู„ูˆุงุญุฏุฉ
572
+
573
+ 144
574
+ 00:10:42,440 --> 00:10:45,560
575
+ ู…ู†ู‡ู… ูˆุชูƒููŠ ูŠุนู†ูŠ ู„ูˆ ุนู†ุฏูƒ data ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆุนู…ู„ุชูŠ
576
+
577
+ 145
578
+ 00:10:45,560 --> 00:10:49,600
579
+ boxplot boxplot is enough to determine if the data
580
+
581
+ 146
582
+ 00:10:49,600 --> 00:10:53,720
583
+ is normal or not ูˆุงุถุญุŸ ูŠุนู†ูŠ ู„ูˆ ุนู†ุฏูƒ data ุนู†ุฏู†ุง
584
+
585
+ 147
586
+ 00:10:53,720 --> 00:10:57,520
587
+ minimum, volume, first quartile, median, third
588
+
589
+ 148
590
+ 00:10:57,520 --> 00:11:03,480
591
+ quartile and maximum ูˆุจุนุฏูŠู† ุจุฑุณู…ุงู„ุฃูˆู„ ู‡ูˆ ุงู„ุฑุณู…
592
+
593
+ 149
594
+ 00:11:03,480 --> 00:11:08,200
595
+ ุงู„ุฑุณู… ุงู„ ุจุงูƒุณ ุจู„ุงุช ูŠุณุฑุด ูŠุนู…ู„ ุงู„ ุจุงูƒุณ ุจู„ุงุช ู„ุฃู† ุงู„
596
+
597
+ 150
598
+ 00:11:08,200 --> 00:11:11,480
599
+ ุจุงูƒุณ ุจู„ุงุช ูƒู„ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชูŠ ุชุญุชุงุฌู‡ุง .. ุฃุนู†ูŠ
600
+
601
+ 151
602
+ 00:11:11,480 --> 00:11:14,500
603
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู…ุญุชุงุฌุฉ ุชู… ุฅุนุทุงุฆู‡ุง ู„ู†ุง ู„ุฏูŠู†ุง minimum,
604
+
605
+ 152
606
+ 00:11:14,780 --> 00:11:19,040
607
+ q1, median, q3 ูˆ maximum ุซู… ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰ ุงู„ูุฑู‚
608
+
609
+ 153
610
+ 00:11:19,040 --> 00:11:23,640
611
+ ุจูŠู†ู‡ู… ูƒู…ุง ุฐูƒุฑู†ุง ู…ู† ู‚ุจู„ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ .. ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰
612
+
613
+ 154
614
+ 00:11:23,640 --> 00:11:31,900
615
+ ุงู„ู…ูŠุฏูŠุงู† ูˆู…ุนุธู… ู…ูŠุฏูŠุงู† ูˆู…ุนุธู…ูˆุงุถุญ ุฌุฏู‹ุง ุฃู† ุงู„ู€ right
616
+
617
+ 155
618
+ 00:11:31,900 --> 00:11:36,880
619
+ tail ุฃูƒุชุฑ ู…ู† ุงู„ู€ left tail ู„ุฐู„ูƒ ูŠุนู†ูŠ ุฃู†ู‡ุง ู…ุฑุณูˆู…ุฉ
620
+
621
+ 156
622
+ 00:11:36,880 --> 00:11:37,940
623
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู„ุฐู„ูƒ ู„ูŠุณ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
624
+
625
+ 157
626
+ 00:11:37,940 --> 00:11:38,460
627
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
628
+
629
+ 158
630
+ 00:11:38,460 --> 00:11:40,760
631
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
632
+
633
+ 159
634
+ 00:11:40,760 --> 00:11:41,100
635
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
636
+
637
+ 160
638
+ 00:11:41,100 --> 00:11:54,400
639
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌ
640
+
641
+ 161
642
+ 00:11:54,720 --> 00:11:59,120
643
+ not normal this is correct answer if the answer is
644
+
645
+ 162
646
+ 00:11:59,120 --> 00:12:03,060
647
+ asymmetric this
648
+
649
+ 163
650
+ 00:12:03,060 --> 00:12:07,540
651
+ is good answer asymmetric it means .. asymmetric
652
+
653
+ 164
654
+ 00:12:07,540 --> 00:12:12,040
655
+ ู…ุนู†ุงู‡ ู…ุชู…ุซู„ ุงู„ู†ููŠ ุชุจู‚ู‰ ูŠู…ุง ุจุญูƒูŠ asymmetric ุจุญุท
656
+
657
+ 165
658
+ 00:12:12,040 --> 00:12:16,660
659
+ ุงู„ูŠู…ุญุง ูŠุนู†ูŠ asymmetric not normal ุงูˆ ู…ู…ูƒู† ุงุญูƒูŠ
660
+
661
+ 166
662
+ 00:12:16,660 --> 00:12:19,660
663
+ right skewed
664
+
665
+ 167
666
+ 00:12:24,300 --> 00:12:28,900
667
+ ู‡ุฏูˆู„ ุงู„ุชู„ุงุชูŠ ุฏูŠ ุจุณ ุตุญ ูŠุนู†ูŠ ุจุญูƒูŠ ู…ุด .. not norm ..
668
+
669
+ 168
670
+ 00:12:28,900 --> 00:12:36,500
671
+ not symmetric ู‡ุฐู‡ not symmetric ู‡ุฏูˆู„
672
+
673
+ 169
674
+ 00:12:36,500 --> 00:12:39,820
675
+ ุงู„ุฃุฑุจุนุฉ ุตุญ ูŠุนู†ูŠ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… is okay ูŠุนู†ูŠ ู„ูˆ ููŠ
676
+
677
+ 170
678
+ 00:12:39,820 --> 00:12:42,340
679
+ ู…ู†ู‡ู… ุชู†ุชูŠู† ู…ูˆุฌูˆุฏุฉ ูˆ ุชู†ุชูŠู† ุบู„ุท ุจุญูƒูŠ A ูˆ B ู‡ู… ุงู„
680
+
681
+ 171
682
+ 00:12:42,340 --> 00:12:48,000
683
+ correct answer ูˆุงุถุญุŸ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ symmetry ู…ุนู†ุงู‡ุง
684
+
685
+ 172
686
+ 00:12:48,000 --> 00:12:54,330
687
+ ุฅูŠุดุŸ ู…ุชู…ุซู„ ู„ู…ุง ุฃุญุทู„ู‡ุง ุงู„ ุฅูŠู‡ ุจุชุตูŠุฑุŸ ุบูŠุฑ ู…ุชู…ุซู„ุจุณ
688
+
689
+ 173
690
+ 00:12:54,330 --> 00:12:58,190
691
+ ู„ูŠู‡ ุดุงุจูƒุฉ ููŠู‡ุงุŸ ูŠุนู†ูŠ ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ู…ุด a symmetry ุงู„
692
+
693
+ 174
694
+ 00:12:58,190 --> 00:13:03,770
695
+ symmetry ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ุข ู„ู‚ูŠุชู† ููŠู‡ุง ุฎู„ุงุต ูŠุนู†ูŠ ุงู„
696
+
697
+ 175
698
+ 00:13:03,770 --> 00:13:09,370
699
+ symmetry ู…ุนู†ุงู‡
700
+
701
+ 176
702
+ 00:13:09,370 --> 00:13:16,510
703
+ ุฅูŠุด ู…ุชู…ุซู„ ุงู„ symmetry ูƒู„ู…ุฉ ูˆุงุญุฏุฉ ุฒูŠูƒ ู…ุนู†ุงู‡
704
+
705
+ 177
706
+ 00:13:16,510 --> 00:13:21,330
707
+ ุบูŠุฑ ู…ุชู…ุซู„ ุฃูˆ not symmetryู‡ุฐู‡ ู‡ูŠ ู…ุฌู„ุฉ ุจุงูƒุณ ุจู„๏ฟฝ๏ฟฝุช
708
+
709
+ 178
710
+ 00:13:21,330 --> 00:13:35,090
711
+ ุชุดูŠุฑ ุฅู„ู‰ ุฃู† ุงู„ู…ุนู„ู‚ุงุช ู…ุฌุฑุฏุฉ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุตุญูŠุญ ุงุฐุง
712
+
713
+ 179
714
+ 00:13:35,090 --> 00:13:41,290
715
+ ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุช ุฏุนูˆู†ุง ู†ุฑู‰ ุฅุฐุง ูƒุงู†ุช
716
+
717
+ 180
718
+ 00:13:41,290 --> 00:13:42,490
719
+ ุงู„ู…ุนู„ู‚ุงุช ุนุงุฏูŠุฉ ุฃูˆ ู„ุง
720
+
721
+ 181
722
+ 00:13:46,550 --> 00:13:53,190
723
+ ุฅุฐุง ู†ุธุฑู†ุง ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„ 21.84 21.65 ูŠู‚ุงุฑู† ุจู…ุง
724
+
725
+ 182
726
+ 00:13:53,190 --> 00:13:57,650
727
+ ูŠู‚ุงุฑู†ุŒ ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถุŒ ูู…ุด ู‚ุงุฏุฑ ูŠุญุฏุฏ ู„ุฃู† ุงู„ูุฑู‚ ุงู„ู„ูŠ
728
+
729
+ 183
730
+ 00:13:57,650 --> 00:14:02,850
731
+ ุจูŠู†ู‡ู… ู…ุด ูƒุจูŠุฑุŒ ูŠุนู†ูŠ ุญูˆุงู„ูŠ 19% ุงู„ุงุฎุชู„ุงู ุจูŠู†
732
+
733
+ 184
734
+ 00:14:02,850 --> 00:14:07,650
735
+ ุงู„ุงู†ุชู‚ุงู„ ูˆุงู„ู…ุชูˆุณุทุŒ ุงู„ุขู† ุฅุฐุง ู†ุธุฑู†ุง ุฅู„ู‰ IQR ู„ู‡ุฐู‡
736
+
737
+ 185
738
+ 00:14:07,650 --> 00:14:12,500
739
+ ุงู„ุจูŠุงู†ุงุชุŒ ู„ูˆ ุจุฏูŠ ุฃุญุณุจ ุงู„ IQRุฅุฐุง ุฑู‚ู… ูˆุงุญุฏ ุงู„ู€mean
740
+
741
+ 186
742
+ 00:14:12,500 --> 00:14:17,660
743
+ 21.84 ู‡ูˆ ุชู‚ุฑูŠุจู‹ุง ู…ุซู„ ุงู„ู€median ูˆู„ูƒู† ููŠ ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
744
+
745
+ 187
746
+ 00:14:17,660 --> 00:14:19,140
747
+ ุงู„ู€mean ูˆ ุงู„ู€median ู…ุฑุชุจุทูŠู† ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท
748
+
749
+ 188
750
+ 00:14:19,140 --> 00:14:22,400
751
+ ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
752
+
753
+ 189
754
+ 00:14:22,400 --> 00:14:25,080
755
+ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท
756
+
757
+ 190
758
+ 00:14:25,080 --> 00:14:28,000
759
+ ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ
760
+
761
+ 191
762
+ 00:14:28,000 --> 00:14:29,880
763
+ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท
764
+
765
+ 192
766
+ 00:14:29,880 --> 00:14:36,360
767
+ ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ู…ุฑุชุจุท ุจู…ุฌ
768
+
769
+ 193
770
+ 00:14:42,530 --> 00:14:54,590
771
+ ุฅุฐุง ูƒู†ุช ุชุนูˆุฏ ู‚ู„ูŠู„ุง ุฅู„ู‰ ุงู„ู€ previous one Q3-Q1 2474
772
+
773
+ 194
774
+ 00:14:54,590 --> 00:14:58,110
775
+ -Q1
776
+
777
+ 195
778
+ 00:14:58,110 --> 00:15:07,350
779
+ ุงู„ูุฑู‚ ุจูŠู† ู‡ุงุชูŠู† ุงู„ู‚ูŠู… 6.98 ุงู„ุฃู†
780
+
781
+ 196
782
+ 00:15:07,350 --> 00:15:11,730
783
+ ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู… ูŠู‚ู„ 1.33 ุณูŠุฌู…ุงุŸู‡ูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒ
784
+
785
+ 197
786
+ 00:15:11,730 --> 00:15:16,050
787
+ ุงุนุฑูู‡ุง ุงู„ sigma is given ุงู„ standard deviation is
788
+
789
+ 198
790
+ 00:15:16,050 --> 00:15:27,330
791
+ given sigma equals 6.4 around 263 now if IQR
792
+
793
+ 199
794
+ 00:15:27,330 --> 00:15:30,170
795
+ equals 1.33 sigma then the data is normally
796
+
797
+ 200
798
+ 00:15:30,170 --> 00:15:34,590
799
+ distributed now if you look at this value and
800
+
801
+ 201
802
+ 00:15:34,590 --> 00:15:37,390
803
+ compare this value to 1.336
804
+
805
+ 202
806
+ 00:15:39,560 --> 00:15:59,300
807
+ 1.336 X Sigma 1.336 X Sigma 1.336 X 6.4263 1.336
808
+
809
+ 203
810
+ 00:15:59,300 --> 00:16:00,800
811
+ X 6.4263
812
+
813
+ 204
814
+ 00:16:05,550 --> 00:16:20,490
815
+ ุงู„ู„ูŠ 1.33 x 6.4263 ู‡ูˆ 8.5 .. ุญูˆ 547 ุงูˆ ุดูŠุก ู…ู† ู‡ุฐุง
816
+
817
+ 205
818
+ 00:16:20,490 --> 00:16:26,110
819
+ ุงู„ู‚ูŠู… ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู… ูŠู‚ู„ 6.9ุŸ ู„ุงุŒ ูู‡ุฐุง ูŠุนู†ูŠ IQR
820
+
821
+ 206
822
+ 00:16:28,270 --> 00:16:32,670
823
+ ู„ู† ูŠู‚ู„ ู„ู€ 1.33 ุณูŠุฌู…ู‡ ุŒ ู„ุฐู„ูƒ ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉ
824
+
825
+ 207
826
+ 00:16:32,670 --> 00:16:36,470
827
+ ุจุดูƒู„ ุนุงู… ุฃูˆ ุญุชู‰ ุฅู†ู‡ุง ู„ูŠุณุช ุญุชู‰ ู‚ุฑูŠุจุฉ. ุงู„ุขู† ู‡ุฐู‡
828
+
829
+ 208
830
+ 00:16:36,470 --> 00:16:38,310
831
+ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูŠู… ู„ูŠุณุช ู‚ุฑูŠุจุฉ ู…ู† ุจุนุถู‡ุง ุงู„ุจุนุถุŒ ู„ุฐู„ูƒ
832
+
833
+ 209
834
+ 00:16:38,310 --> 00:16:41,170
835
+ ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉ ุจุดูƒู„ ุนุงู…. ุงู„ุฃู† ุจุฅู…ูƒุงู†ูƒ ุชูˆู‚ู.
836
+
837
+ 210
838
+ 00:16:41,430 --> 00:16:43,490
839
+ ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉ ุจุดูƒู„ ุนุงู…. ุฅุฐุง ุฃุฑุฏุชุŒ ูŠู…ูƒู†ูƒ
840
+
841
+ 211
842
+ 00:16:43,490 --> 00:16:48,150
843
+ ุงู„ุชุงุจุน. ูŠู…ูƒู†ูƒ ุชุทุจูŠู‚ ุงู„ู‚ูˆุงุนุฏ ุงู„ุงู†ุจุนุงุฏูŠุฉ ูˆุงู†ุชุธุฑ ุฅู†
844
+
845
+ 212
846
+ 00:16:48,150 --> 00:16:55,450
847
+ ู‡ุฐุง ุงู„ู‚ูˆุงุนุฏ ูŠุชู… ุชุทุจูŠู‚ู‡ ุฃูˆ ู„ุง. ุงู„ุขู†ุŒ ู…ุฑุฉ ุฃุฎุฑู‰. ุงู†ุธุฑ
848
+
849
+ 213
850
+ 00:16:55,450 --> 00:16:56,210
851
+ ุฅู„ู‰ ุงู„ู€ Range.
852
+
853
+ 214
854
+ 00:17:13,990 --> 00:17:21,610
855
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุฅุฐุง ู‡ูŠ ูˆุงุญุฏุฉ ูˆู‡ูŠ ุงู„ุชุงู†ูŠุฉ ุฅุฐุง ูƒุงู†ุช
856
+
857
+ 215
858
+ 00:17:21,610 --> 00:17:28,810
859
+ ุงู„ุทุฑูŠู‚ุฉ ุชู‚ุฑูŠุจุง 6 ุณูŠุฌู…ุง ูุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุนุงุฏูŠุฉู†ุญู†
860
+
861
+ 216
862
+ 00:17:28,810 --> 00:17:35,730
863
+ ู„ุฏูŠู†ุง ุณุชุฉ ู…ุฑุฉ ุณูŠุฌู…ุง ุงูŠู‡
864
+
865
+ 217
866
+ 00:17:35,730 --> 00:17:41,330
867
+ ุงุฑุจุนุฉ
868
+
869
+ 218
870
+ 00:17:41,330 --> 00:17:43,170
871
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
872
+
873
+ 219
874
+ 00:17:43,170 --> 00:17:44,050
875
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
876
+
877
+ 220
878
+ 00:17:44,050 --> 00:17:45,030
879
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
880
+
881
+ 221
882
+ 00:17:45,030 --> 00:17:45,450
883
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
884
+
885
+ 222
886
+ 00:17:45,450 --> 00:17:45,450
887
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
888
+
889
+ 223
890
+ 00:17:45,450 --> 00:17:57,550
891
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุช
892
+
893
+ 224
894
+ 00:17:59,750 --> 00:18:08,250
895
+ ู‡ุฐู‡ ุงู„ุตูุญุฉ ุชุธู‡ุฑ ุงู„ู€ IQR 6.98 ูˆูƒุชุงุจู‡ ุชู‚ุงุฑู† ู‡ุฐู‡
896
+
897
+ 225
898
+ 00:18:08,250 --> 00:18:17,870
899
+ ุงู„ู‚ูŠู…ุฉ ๏ฟฝ๏ฟฝุน ู‚ูŠู…ุฉ ุณูŠุฌู…ุง 6.98 ูƒู… ุณูŠุฌู…ุง ู…ูˆุฌูˆุฏ ู‡ู†ุง ูƒู…
900
+
901
+ 226
902
+ 00:18:17,870 --> 00:18:22,270
903
+ ุณูŠุฌู…ุง ููŠ ู‡ุฐู‡ ู…ูˆุฌูˆุฏุฉ ูƒู… ุณูŠุฌู…ุง ููŠ ู‡ุฐู‡ ู…ูˆุฌูˆุฏุฉ
904
+
905
+ 227
906
+ 00:18:25,470 --> 00:18:29,250
907
+ ู…ุธุจูˆุทุŸ ู…ุง ู‡ูˆ ู„ุงุฒู… ูŠุฌูŠุจ ูŠุทู„ุน ูƒุฏู‡ุŸ 1.33 ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ
908
+
909
+ 228
910
+ 00:18:29,250 --> 00:18:32,350
911
+ ุจุตุฑุง ุทุฑูŠู‚ุฉ ุญุชู‰ straightforward ูŠุนู†ูŠ ุฃู†ุง ุนู…ู„ุชู‡
912
+
913
+ 229
914
+ 00:18:32,350 --> 00:18:38,630
915
+ ู…ุจุงุดุฑุฉ ุนู„ู‰ ุทูˆู„ ุฃุฎุฏุช ุทู„ุนุช ุงู„ IQR ููŠ ุงู„ุฃูˆู„ ุจุนุฏูŠู†
916
+
917
+ 230
918
+ 00:18:38,630 --> 00:18:42,690
919
+ ุญุณุจุช ู…ูŠู† 1.33 ุณูŠุฌู…ุง ูˆุดูุช ุงู†ู‡ู… ู…ุชุณุงูˆูŠ ุจุนุถ ูˆู„ุง ู„ุฃ
920
+
921
+ 231
922
+ 00:18:42,690 --> 00:18:47,010
923
+ ู‡ุฐุง ุฃุณู‡ู„ ุงู„ูƒุชุงุจ ุงู„ุดูŠุงู…ูŠ ุงู„ู„ูŠ ู…ุงุนู…ู„ ุงู„ุดูŠูƒ ุดุงู ุงู„ 6
924
+
925
+ 232
926
+ 00:18:47,010 --> 00:18:55,930
927
+ .98 ุงู„ู„ูŠ ู‡ูŠ ุงู„ IQR ุฃูƒู… ุณูŠุฌู…ุง ููŠู‡ุง ูƒูŠู ุทู„ุนู‡ุงุŸุทู„ุน 6
928
+
929
+ 233
930
+ 00:18:55,930 --> 00:19:03,190
931
+ .98 ุฌุณู…ู‡ุง ุนู„ู‰ ุฌูŠู…ุฉ ุงู„ู€ Sigma ู„ูˆ ุทู„ุนุช ูƒุฏู‡ ู‡ุชุทู„ุน
932
+
933
+ 234
934
+ 00:19:03,190 --> 00:19:09,770
935
+ ุงู„ุฌูˆุงุจ 1.09 ุงุญู†ุง ุนุงูŠุฒูŠู†ู‡ ู‚ุฏุงุดุŸ 1.33 ูˆุงุถุญ ู„ู„ุงู†ุชู…ุง
936
+
937
+ 235
938
+ 00:19:09,770 --> 00:19:15,390
939
+ ุฒูŠ ุจุนุถุŒ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุตุญุฉ ุจุณ ุงู„ู„ูŠ ุงู„ู„ูŠ ุญู„ูŠุชู‡ ู…ุดูŠุช
940
+
941
+ 236
942
+ 00:19:15,390 --> 00:19:22,170
943
+ straightforward ู…ุจุงุดุฑ ุญุณุจุช ุงู„ IQR ูˆุญุณุจุช ุงู„ 1.33
944
+
945
+ 237
946
+ 00:19:22,170 --> 00:19:28,020
947
+ Sigmaู…ุด ุดูˆูุช ู…ุด ุณูˆู‰ ุจุนุถ ูˆู„ุง ู„ุฃุŸ ู‡ุฐุง ุฃุณู‡ู„ ุจุงู„ู†ุณุจุงู„ูƒ
948
+
949
+ 238
950
+ 00:19:28,020 --> 00:19:34,600
951
+ ุฎู„ุงุต ุทู„ุน ุงู„ุฑุณู…ุฉ ู„ู†ูุณ ุงู„ data ุทู„ุน ุงู„ุฑุณู…ุฉ ุงู„ู„ูŠ
952
+
953
+ 239
954
+ 00:19:34,600 --> 00:19:41,580
955
+ ู…ุณู…ูŠู‡ุง normality plot if
956
+
957
+ 240
958
+ 00:19:41,580 --> 00:19:45,520
959
+ you look carefully at the line at the data it's
960
+
961
+ 241
962
+ 00:19:45,520 --> 00:19:48,960
963
+ very clear that the data is not linear because we
964
+
965
+ 242
966
+ 00:19:48,960 --> 00:19:55,640
967
+ have curved data here ูˆุถุญุฉ ุดูƒู„ ู…ุฑุญู†ุฉูˆุชุญุช ูƒูŠูุŸ in
968
+
969
+ 243
970
+ 00:19:55,640 --> 00:20:00,760
971
+ between it looks like a straight line positive but
972
+
973
+ 244
974
+ 00:20:00,760 --> 00:20:07,440
975
+ at the ends of the line we have data above and
976
+
977
+ 245
978
+ 00:20:07,440 --> 00:20:11,400
979
+ data below so you can say that the data is not
980
+
981
+ 246
982
+ 00:20:11,400 --> 00:20:15,240
983
+ normally distributed so plot is not a straight
984
+
985
+ 247
986
+ 00:20:15,240 --> 00:20:19,360
987
+ line and shows the distribution skewed to the
988
+
989
+ 248
990
+ 00:20:19,360 --> 00:20:22,200
991
+ right side so the data is not symmetric
992
+
993
+ 249
994
+ 00:20:25,040 --> 00:20:29,540
995
+ ู‡ุฐู‡ ู†ูุณ ุงู„ู…ู‚ุงุฑู†ุฉ ุจุงุณุชุฎุฏุงู… ุตูุญุงุช ู…ุณู…ู‰ Minitab ู‡ุฐุง
996
+
997
+ 250
998
+ 00:20:29,540 --> 00:20:35,760
999
+ ุจุฑู†ุงู…ุฌ ุงุญุตุงุก ุงุณู…ู‡ Minitab ู†ูุณ ุงู„ู…ู‚ุงุฑู†ุฉ ูˆุงุถุญ ุงู† ู‡ู†ุง
1000
+
1001
+ 251
1002
+ 00:20:35,760 --> 00:20:42,180
1003
+ ููŠ straight line ูˆ ุจุนุฏูŠู† ุจุฏุงุด ูŠุนู…ู„ curve ุตุงุฑ ุฏุจูŠุงุด
1004
+
1005
+ 252
1006
+ 00:20:42,180 --> 00:20:45,060
1007
+ ุนู„ู‰ ุงู„ straight line ุนุดุงู† ูŠูƒูˆู† ุงู„ุณุจุจ ูŠูƒูˆู† ู‡ุฐุง ุดูƒู„ู‡
1008
+
1009
+ 253
1010
+ 00:20:45,060 --> 00:20:49,260
1011
+ ููˆุงุถุญ ุงู† ุงู„ุดูƒู„ ุงู„ุนุงู…ู„ู‡ ู„ูŠุณ straight line
1012
+
1013
+ 254
1014
+ 00:20:52,390 --> 00:20:54,570
1015
+ ูˆุงุถุญ ุฃู† ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1016
+
1017
+ 255
1018
+ 00:20:54,570 --> 00:20:54,790
1019
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1020
+
1021
+ 256
1022
+ 00:20:54,790 --> 00:20:57,810
1023
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1024
+
1025
+ 257
1026
+ 00:20:57,810 --> 00:20:58,210
1027
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1028
+
1029
+ 258
1030
+ 00:20:58,210 --> 00:21:03,130
1031
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1032
+
1033
+ 259
1034
+ 00:21:03,130 --> 00:21:03,350
1035
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1036
+
1037
+ 260
1038
+ 00:21:03,350 --> 00:21:03,410
1039
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1040
+
1041
+ 261
1042
+ 00:21:03,410 --> 00:21:04,070
1043
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1044
+
1045
+ 262
1046
+ 00:21:04,070 --> 00:21:06,810
1047
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1048
+
1049
+ 263
1050
+ 00:21:06,810 --> 00:21:11,130
1051
+ ุดูƒู„ู‡ุง ุดูƒู„ู‡ุง
1052
+
1053
+ 264
1054
+ 00:21:11,130 --> 00:21:14,810
1055
+ ุดูƒู„ู‡ุง
1056
+
1057
+ 265
1058
+ 00:21:14,810 --> 00:21:16,390
1059
+ ุด
1060
+
1061
+ 266
1062
+ 00:21:22,760 --> 00:21:26,780
1063
+ ุงู„ุชุญู‚ูŠู‚ุงุช ู„ุฏูŠู‡ุง ุฃูƒุชุฑ ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ ุญูˆู„ ุงู„ู€mean ุฃูƒุชุฑ
1064
+
1065
+ 267
1066
+ 00:21:26,780 --> 00:21:32,220
1067
+ ู…ู† ุงู„ู…ุชูˆู‚ุน ุงู„ูˆู‚ุช ุงู„ุฃูƒุจุฑ
1068
+
1069
+ 268
1070
+ 00:21:32,220 --> 00:21:35,540
1071
+ ู…ู† ู…ุง ูƒู†ุง ู†ุชูˆู‚ุน ููŠ ุงู„ูˆุงู‚ุน ุงู„ู€ probability plot ู„ูŠุณ
1072
+
1073
+ 269
1074
+ 00:21:35,540 --> 00:21:38,360
1075
+ ุจุทุฑูŠู‚ุฉ ู…ุจุงุดุฑุฉุŒ ู„ุฐู„ูƒ ููŠ ุงู„ูˆุงุถุญ ุฃู† ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช
1076
+
1077
+ 270
1078
+ 00:21:38,360 --> 00:21:43,680
1079
+ ู…ุฎุชู„ูุฉ ูƒุซูŠุฑู‹ุง ู…ู† ุงู„ูˆุงู‚ุนุงุช ุงู„ู‡ูŠูˆุบูˆูŠุฉ ู„ู„ุชุนุงู…ู„ ู…ุน
1080
+
1081
+ 271
1082
+ 00:21:43,680 --> 00:21:44,140
1083
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1084
+
1085
+ 272
1086
+ 00:21:44,140 --> 00:21:44,680
1087
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุง๏ฟฝ๏ฟฝู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1088
+
1089
+ 273
1090
+ 00:21:44,680 --> 00:21:45,940
1091
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1092
+
1093
+ 274
1094
+ 00:21:45,940 --> 00:21:46,140
1095
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1096
+
1097
+ 275
1098
+ 00:21:46,140 --> 00:21:46,140
1099
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน
1100
+
1101
+ 276
1102
+ 00:21:46,140 --> 00:21:50,780
1103
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุชุนุงู…
1104
+
1105
+ 277
1106
+ 00:21:50,800 --> 00:21:53,700
1107
+ ุงู„ู…ูŠุฒุฉ ูˆุงู„ู…ูŠุฒุฉ ุชู‚ุฑูŠุจู‹ุง ู…ุฑุชูุนุฉ ูˆู„ูƒู† ุงู„ู‚ูˆุงู†ูŠู† ุงู„ุฃุฎุฑู‰
1108
+
1109
+ 278
1110
+ 00:21:53,700 --> 00:21:58,180
1111
+ ุชุธู‡ุฑ ุฃู† ุงู„ุจูŠุงู†ุงุช ู„ูŠุณุช ู…ุฌุชู…ุนู‹ุง ุทุจูŠุนูŠู‹ุงุŒ ู„ุฐู„ูƒ
1112
+
1113
+ 279
1114
+ 00:21:58,180 --> 00:22:03,220
1115
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุฃุฎูŠุฑุฉ ู„ู„ุจูŠุงู†ุงุช ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ุนุงู…ู„ู‹ุง
1116
+
1117
+ 280
1118
+ 00:22:03,220 --> 00:22:09,860
1119
+ ู…ุฎุชู„ูุฉ ุนู† ู…ุฌุชู…ุน ุทุจูŠุนูŠ ูˆู…ุชุฌุฑ ุญู‚ู‡ุงุŒ ู„ุฐู„ูƒ ู‡ุฐุง ู‡ูˆ
1120
+
1121
+ 281
1122
+ 00:22:09,860 --> 00:22:12,640
1123
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชูŠ ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ุงู„ุทุจูŠุนุฉ ุจุงุณุชุฎุฏุงู… ุฃู…ุง
1124
+
1125
+ 282
1126
+ 00:22:12,640 --> 00:22:15,620
1127
+ ู…ูŠุฒุฉ ู†ู…ูˆูŠุฉ ูƒู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
1128
+
1129
+ 283
1130
+ 00:22:15,620 --> 00:22:17,260
1131
+ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ ู…ูŠุฒุฉ
1132
+
1133
+ 284
1134
+ 00:22:19,780 --> 00:22:24,220
1135
+ IQR equal 1.33 Sigma Range equals 6 Sigma In
1136
+
1137
+ 285
1138
+ 00:22:24,220 --> 00:22:26,740
1139
+ addition if you look at the box plot if the data
1140
+
1141
+ 286
1142
+ 00:22:26,740 --> 00:22:31,060
1143
+ is small or look at the histogram for large data
1144
+
1145
+ 287
1146
+ 00:22:31,060 --> 00:22:34,600
1147
+ and finally we look at the normal probability plot
1148
+
1149
+ 288
1150
+ 00:22:34,600 --> 00:22:37,660
1151
+ if the data points fall on straight line or closed
1152
+
1153
+ 289
1154
+ 00:22:37,660 --> 00:22:40,420
1155
+ then you can say that the data is normally
1156
+
1157
+ 290
1158
+ 00:22:40,420 --> 00:22:43,200
1159
+ distributed that's all for how can we evaluate
1160
+
1161
+ 291
1162
+ 00:22:43,200 --> 00:22:51,370
1163
+ normality questions any question?ููŠ ุงู„ุจูŠุช ุจุณ ุฑุงุฌุน
1164
+
1165
+ 292
1166
+ 00:22:51,370 --> 00:22:56,530
1167
+ ุงู„ูƒู„ุงู…ุงุช ูƒุฏู‡ ุณู‡ู„ ุจุณ ุญุงูˆู„ูŠ ุชุฑุงุฌุนูŠู‡ุง ูƒุฏู‡ ุจูƒูˆู†
1168
+
1169
+ 293
1170
+ 00:22:56,530 --> 00:23:01,990
1171
+ chapter six ุฎู„ุต so finish chapter six now before
1172
+
1173
+ 294
1174
+ 00:23:01,990 --> 00:23:04,990
1175
+ we continue and go to the next chapter I will
1176
+
1177
+ 295
1178
+ 00:23:04,990 --> 00:23:09,170
1179
+ solve one problem from the practice you have in
1180
+
1181
+ 296
1182
+ 00:23:09,170 --> 00:23:14,210
1183
+ your book ุฎู„ุงุต ู‡ู†ุญู„ ุณุคุงู„ ู…ุน ุจุนุถ ุงู„ุณุคุงู„ ุณู‡ู„ ุจุณ ููƒุฑุฉ
1184
+
1185
+ 297
1186
+ 00:23:14,210 --> 00:23:18,390
1187
+ ู‡ูˆ ู„ุงุฒู… ุชูƒูˆู† ุญุงุถุฑุฉ ุจุงู„ู†ุณุจุงู„ูƒู„ุฃู†ู‡ ุบุงู„ุจุง ุงู„ู…ุซุงู„
1188
+
1189
+ 298
1190
+ 00:23:18,390 --> 00:23:22,190
1191
+ ู‡ุชูƒูˆู† ุณู‡ู„ุฉ ูˆ ู…ู† ุงู„ุณู‡ู„ ุงู„ู…ู…ุชู†ุน ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ู„ูˆ
1192
+
1193
+ 299
1194
+ 00:23:22,190 --> 00:23:26,570
1195
+ ู…ุงูู‡ู…ุด ูƒุฏู‡ ูˆ ุจุฏู‡ ูŠุญู„ ู…ุซุงู„ ุฒูŠ ู‡ูŠูƒ ู‡ุถูŠุน ุดุบู„ุงุช ูƒุชูŠุฑ
1196
+
1197
+ 300
1198
+ 00:23:26,570 --> 00:23:32,250
1199
+ ูู‡ุญู„ ุณุคุงู„ ูˆุงุญุฏ ูˆ ู†ุฎุชู… ูˆ ู†ุชุนูˆุฏ ุฏุงูŠู…ุง ุงุฎุฑ ู„ู‚ุงุก ุจุญู„ู„
1200
+
1201
+ 301
1202
+ 00:23:32,250 --> 00:23:35,610
1203
+ ุงู„ุณุคุงู„ ุงูˆ ุงุชู†ูŠู† ู…ู† ุงู„ุงุณุฆู„ุฉ ุงู„ู„ูŠ ูŠุนู†ูŠ ุจุฏู‡ ุดูˆูŠุฉ
1204
+
1205
+ 302
1206
+ 00:23:35,610 --> 00:23:39,170
1207
+ ุชููƒูŠุฑ ู‡ุญู„
1208
+
1209
+ 303
1210
+ 00:23:39,170 --> 00:23:46,010
1211
+ ุงู„ุณุคุงู„ ุชู„ุงุชูŠู† ู…ูŠุฉ ูˆ .. ุงู‡ ุญูƒูŠุชู„ูƒ ู…ูŠุฉ ุณุงุนุฉ ุชู…ุงู…ุง
1212
+
1213
+ 304
1214
+ 00:24:25,100 --> 00:24:27,560
1215
+ ู…ุด ู…ุงุถูŠ ุนุงู…ุฉ ุจู‚ู‰ ูŠุนู†ูŠ
1216
+
1217
+ 305
1218
+ 00:24:32,090 --> 00:24:36,970
1219
+ ุงู„ุณุคุงู„ ุชู„ุงุชูŠู† ุณุงุนุฉ ู…ูŠุฉ ูˆ ุณุจุนุฉ ูˆ ุชู…ุงู†ูŠู† ุงุณู… ุงู„
1220
+
1221
+ 306
1222
+ 00:24:36,970 --> 00:24:46,310
1223
+ practice page one eight seven ูˆ
1224
+
1225
+ 307
1226
+ 00:24:46,310 --> 00:24:49,310
1227
+ ุฃู†ุง ุจุญุซ ููŠ ุงู„ practice ู‡ุนุทูŠูƒ ูƒูŠู ู…ู…ูƒู† ุงู„ุทุงู„ุจ ูŠููƒุฑ
1228
+
1229
+ 308
1230
+ 00:24:49,310 --> 00:24:53,570
1231
+ ููŠ ุงู„ุญู„ ููŠ ุงู„ุงู…ุชุญุงู† ูˆ ุฅูŠุด ุทุงู„ุน ุงู„ุชููƒูŠุฑ ุงู„ุตุญูŠ ุนุดุงู†
1232
+
1233
+ 309
1234
+ 00:24:53,570 --> 00:24:59,430
1235
+ ุฃุตู„ ู„ู„ุฌูˆุงุจ ููŠ ุงู„ูˆู‚ุช ุจู‚ุฑุง ุงู„ู…ุซู„ุฉ ูˆ ุจุฏูˆู† ุฅุดูŠ ูˆ ู‡ูŠ
1236
+
1237
+ 310
1238
+ 00:24:59,430 --> 00:25:03,570
1239
+ ู…ูˆุฌูˆุฏ ููŠู‡ุง ู…ู„ุงุญุธุงุชู…ู…ูƒู† ุงุชูˆุงุฌู‡ ูƒู„ู…ุฉ ู…ุด ุนุงุฑูู‡ุงุŒ
1240
+
1241
+ 311
1242
+ 00:25:03,570 --> 00:25:09,750
1243
+ ู†ูุชุฑุถ ุฃุญุงูˆู„ ุฃูู‡ู…ู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุณูŠุงู‚ ู…ุงูู‡ู…ุชู‡ุงุด ุญู„ุŒ
1244
+
1245
+ 312
1246
+ 00:25:09,750 --> 00:25:12,730
1247
+ ุญุทู‡ุงุŒ ุงุนุทูŠู‡ุง ุฎุทุŒ ูˆุงุณูŠุจูƒ ู…ู†ู‡ุงุŒ ูŠุนู†ูŠ ู…ุงุชุถุงูŠู‚ุด ูˆู‚ุชูƒ
1248
+
1249
+ 313
1250
+ 00:25:12,730 --> 00:25:19,930
1251
+ ููŠ ุงู„ุชุฑุฌู…ุฉ ุฎุฏูŠ ุงู„ .. ุงู„ .. ุงู„ keywords ู…ู†ู‡ุงุŒ ู…ูุชุงุญ
1252
+
1253
+ 314
1254
+ 00:25:19,930 --> 00:25:20,330
1255
+ ุงู„ุญู„
1256
+
1257
+ 315
1258
+ 00:25:23,360 --> 00:25:26,360
1259
+ ูˆุจุนุฏูŠู† ุจุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูุจูŠุญูƒูŠ you were told that
1260
+
1261
+ 316
1262
+ 00:25:26,360 --> 00:25:29,480
1263
+ the amount of time lapsed between consecutive
1264
+
1265
+ 317
1266
+ 00:25:29,480 --> 00:25:33,300
1267
+ trades on a foreign stock exchange market followed
1268
+
1269
+ 318
1270
+ 00:25:33,300 --> 00:25:36,320
1271
+ by normal distribution with a mean of 15 seconds
1272
+
1273
+ 319
1274
+ 00:25:36,320 --> 00:25:41,380
1275
+ ู‚ุฑุฃุช ุงู„ุฌูŠุจู†ุฉ ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุฅูŠุด ุฃูู‡ู…ุช ู…ู†ู‡ุงุŸ ููŠ ุนู†ุฏูƒ ุงู„
1276
+
1277
+ 320
1278
+ 00:25:41,380 --> 00:25:44,900
1279
+ keywords ุจุชุงุนูˆู†ูŠ normal distribution ูˆ ุงู„ mean
1280
+
1281
+ 321
1282
+ 00:25:44,900 --> 00:25:48,940
1283
+ equals 15 ู‡ุฐุง ุฃู†ุง ุงุณุชูˆุนุจุชู‡ุง ุจุฏูˆู† ู…ุดุงูƒู„ ู…ุดุงูƒู„ ุฅุฐุง
1284
+
1285
+ 322
1286
+ 00:25:48,940 --> 00:25:52,640
1287
+ ุงู„ mean equals 15 and we have normal distribution
1288
+
1289
+ 323
1290
+ 00:25:53,290 --> 00:25:57,670
1291
+ ูˆุจุชูƒู„ู… ุนู„ู‰ .. ู„ูˆ ุจุฏุฃุช ูุงู‡ู…ุฉ ุจุงู„ูƒุงู…ู„ ุจุชูƒู…ู„ ุนู„ู‰
1292
+
1293
+ 324
1294
+ 00:25:57,670 --> 00:26:03,030
1295
+ ุงู„ุฒู…ู† ุงู„ู„ูŠ ู„ุงุฒู… ุฃู† ุงู„ูˆุงุญุฏ ูŠู†ูุฐ consecutive ู…ุนู†ุงู‡
1296
+
1297
+ 325
1298
+ 00:26:03,030 --> 00:26:11,470
1299
+ ุฅูŠุดุŸ consecutive consecutive trades ู…ุชุชุงู„ูŠุชูŠู† ูŠุนู†ูŠ
1300
+
1301
+ 326
1302
+ 00:26:11,470 --> 00:26:17,010
1303
+ ุดุบู„ุชูŠู† ูˆุฑุง ุจุนุถ ูŠุนู†ูŠ ู„ู…ู†ุŸ ู„ู„ stock exchange ุงู„ู„ูŠ ู‡ูŠ
1304
+
1305
+ 327
1306
+ 00:26:17,010 --> 00:26:23,930
1307
+ ุฃุณุนุงุฑ ุงู„ุฃุณู‡ู… ููŠ ุงู„ุจูˆุฑุตุฉุฅุฐุง ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ุนุดุงู† ุฃู‚ุถูŠ
1308
+
1309
+ 328
1310
+ 00:26:23,930 --> 00:26:28,750
1311
+ ุดุบู„ุชูŠู† ุฃูˆ ุดุฑุงุก ุงุชู†ูŠู† stock ุฃูˆ ู…ุดุงุจู‡ ุฃูˆ ุนู…ู„ูŠุชูŠู† ููŠ
1312
+
1313
+ 329
1314
+ 00:26:28,750 --> 00:26:34,370
1315
+ ุงู„ุดุฑุงุก ููŠ ุงู„ stock ุฅู„ุง ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูŠุนู†ูŠ X ุนุจุงุฑุฉ ุนู†
1316
+
1317
+ 330
1318
+ 00:26:34,370 --> 00:26:39,590
1319
+ ุงู„ time ุฅุฐุง
1320
+
1321
+ 331
1322
+ 00:26:39,590 --> 00:26:44,810
1323
+ ููŠ ุนู†ุฏูŠ ุงู„ุฒู…ู† ุงู„ู„ุงุฒู… ู„ุฅู†ู‚ุถุงุก
1324
+
1325
+ 332
1326
+ 00:26:44,810 --> 00:26:48,070
1327
+ ุนู…ู„ุชูŠู† ููŠ ุงู„ุดุฑุงุก ู„ู„ stock ุจุงู„ุณุงูˆูŠุฉ ุฅู„ู‡ุง normal
1328
+
1329
+ 333
1330
+ 00:26:48,070 --> 00:26:50,650
1331
+ distribution ู…ู† ู…ูŠู† ูˆุฎู…ุณ ุนุงู…ู„ูŠู† ุงู„ู„ูŠ ู„ุฃ ุฃู†ุง
1332
+
1333
+ 334
1334
+ 00:26:50,650 --> 00:26:55,470
1335
+ ู…ุงู‚ุฑุฃุชุด ุงู„ู„ูŠ ู‡ูŠูƒูˆุจุนุฏูŠู† ุงุฑุณู… ุงุชูˆู…ูŠุชูŠูƒ ุงู„ุฑุณู…ุฉ ุชุงุจุนุฉ
1336
+
1337
+ 335
1338
+ 00:26:55,470 --> 00:27:00,730
1339
+ ุงู„ู€ Normal Distribution ูˆุนุงู„ู…ูŠุง
1340
+
1341
+ 336
1342
+ 00:27:00,730 --> 00:27:07,650
1343
+ ุงุญุงูˆู„ ุงุฑุณู… ูƒูˆูŠุณุฉ ู„ุฑุณู… ู…ู‡ู… ู„ูู‡ู… ุงู„ู…ุซู„ุฉ ุฒูŠ ุงูˆู„
1344
+
1345
+ 337
1346
+ 00:27:07,650 --> 00:27:12,350
1347
+ ู…ุนู„ูˆู…ุฉ ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ุชุงู†ูŠุฉ you were to also told that
1348
+
1349
+ 338
1350
+ 00:27:12,350 --> 00:27:14,710
1351
+ the probability that the time lapsed between two
1352
+
1353
+ 339
1354
+ 00:27:14,710 --> 00:27:18,070
1355
+ consecutive trades to fall between 16 and 17
1356
+
1357
+ 340
1358
+ 00:27:18,070 --> 00:27:24,470
1359
+ seconds was 13%ุงู„ุฒู…ู† ู…ุง ุจูŠู† 16 ูˆ 17 ุซุงู†ูŠุฉ ูŠุนุทุงู†ูŠุด
1360
+
1361
+ 341
1362
+ 00:27:24,470 --> 00:27:29,150
1363
+ ุจุงู„ุณุงูˆูŠ 13 ุทุจ ุฃูƒูŠุฏ ุงู„ 16 ู‡ุงุชูŠุฌูŠ ู‡ูŠูƒ ู…ุด ูƒุฏู‡ุŸ ู‡ุงูŠ ุงู„
1364
+
1365
+ 342
1366
+ 00:27:29,150 --> 00:27:41,270
1367
+ 16 ู‡ุงูŠ ุงู„ 16 ูˆ ู‡ุงูŠ ุงู„ 17 ู‡ุฐู‡
1368
+
1369
+ 343
1370
+ 00:27:41,270 --> 00:27:47,110
1371
+ ุงู„ู…ุณุงูุฉ 30 13% ู‡ุฐู‡ ู‡ูŠูƒ 13
1372
+
1373
+ 344
1374
+ 00:27:50,320 --> 00:27:56,720
1375
+ ุฅุฐุง ุงู„ู…ุณุงูุฉ ู‡ูŠ ู…ุณุงุญุฉ ุญุฏูŠู‚ 13 ุฅุนุทุงู†ูŠ
1376
+
1377
+ 345
1378
+ 00:27:56,720 --> 00:27:59,940
1379
+ ูƒู…ุงู† .. ุฅุฐุง ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ู„ูŠ ุฃุนุทุงู†ูŠู‡ุง probability x
1380
+
1381
+ 346
1382
+ 00:27:59,940 --> 00:28:06,280
1383
+ between 15 and sorry 16 and 17 this probability
1384
+
1385
+ 347
1386
+ 00:28:06,280 --> 00:28:16,490
1387
+ equals 13% between 16 and 17next the probability
1388
+
1389
+ 348
1390
+ 00:28:16,490 --> 00:28:19,250
1391
+ that the time laps between two consecutive trays
1392
+
1393
+ 349
1394
+ 00:28:19,250 --> 00:28:23,350
1395
+ would fall below 13 seconds ุฃู‚ู„ ู…ู† 13 ุชุงู†ูŠุฉ
1396
+
1397
+ 350
1398
+ 00:28:23,350 --> 00:28:30,550
1399
+ ุงู„ุชู„ุชุงุด ู‡ูŠูƒ ุจุณ ู‡ู†ุง ููŠ ู†ุฏูŠุงุด 14ุŒ ู…ุธุจูˆุทุŸ ููŠ ุชู„ุชุงุด
1400
+
1401
+ 351
1402
+ 00:28:30,550 --> 00:28:38,810
1403
+ ู‡ู†ุง ุงู„ุฃู‚ู„ ู…ู† ุชู„ุชุงุด ุชุณุงูˆูŠ ุณุจุนุฉ ูุงู‡ู…ูŠู†ุŒ ู‡ุฐุง ุงู„
1404
+
1405
+ 352
1406
+ 00:28:38,810 --> 00:28:39,630
1407
+ probability ู‡ูŠูƒ
1408
+
1409
+ 353
1410
+ 00:28:43,290 --> 00:28:51,470
1411
+ 7% ูˆูƒุงู† ุนู„ูŠ ุงูƒุชุจู‡ุง ูƒู„ู‡ุง ุจู†ูุณูŠ ุงูƒุชุจ ู‡ูŠูƒ 7% in 7
1412
+
1413
+ 354
1414
+ 00:28:51,470 --> 00:29:00,190
1415
+ percent ุงุฐุง ุฃุนุทุงู†ูŠ 1000 ู…ุนู„ูˆู…ุงุช ุงู„ mean 15 ุงู„
1416
+
1417
+ 355
1418
+ 00:29:00,190 --> 00:29:04,350
1419
+ probability between 16 and 17 point 13 ูˆุงู„ุฃู‚ู„ ู…ู†
1420
+
1421
+ 356
1422
+ 00:29:04,350 --> 00:29:09,220
1423
+ 13 ุจุชุณุงูˆูŠ point 07ุทุจ ุงูŠุด ุงู„ู„ูŠ ุนุงูŠุฒู‡ what's the
1424
+
1425
+ 357
1426
+ 00:29:09,220 --> 00:29:11,280
1427
+ probability that the time lapse between two
1428
+
1429
+ 358
1430
+ 00:29:11,280 --> 00:29:14,880
1431
+ consecutive trades will be longer than 17 seconds
1432
+
1433
+ 359
1434
+ 00:29:14,880 --> 00:29:23,660
1435
+ ุงู„ุฃูˆู„ ูˆุงุญุฏุฉ ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† 17 ุฅุฐู†
1436
+
1437
+ 360
1438
+ 00:29:23,660 --> 00:29:28,280
1439
+ ู‡ูˆ ุฃุนุทุงู†ูŠ ุงู„ mean equal 15
1440
+
1441
+ 361
1442
+ 00:29:34,780 --> 00:29:39,740
1443
+ ุจุนุฏูŠู† ุฃุนุทุงู†ูŠ P between 16 and 17 equal 13 ูˆุงู„ู„ูŠ
1444
+
1445
+ 362
1446
+ 00:29:39,740 --> 00:29:44,540
1447
+ ุฃูƒุจุฑ ู…ู† ุงู„ 37% ู‡ูˆ ุนุงูŠุฒ ุงู„ุฃูƒุจุฑ ู…ู† 17 ุฅูŠุด ุงู„
1448
+
1449
+ 363
1450
+ 00:29:44,540 --> 00:29:50,080
1451
+ probability ุจุชุณุงูˆูŠุŸ ุจุชุทู„ุน ูƒูˆูŠุณ ููŠ ุงู„ุญู„ุŒ ู‡ู„ ู„ุงุฒู…
1452
+
1453
+ 364
1454
+ 00:29:50,080 --> 00:29:53,560
1455
+ ุฃุญู„ ุงู„ู…ุซู„ุฉ ุจุงู„tableุŸ ูˆุนุดุงู† ุฃุญู„ู‡ุง ุจุงู„table ู„ุงุฒู…
1456
+
1457
+ 365
1458
+ 00:29:53,560 --> 00:29:57,500
1459
+ ุฃุญูˆู„ ู„ู…ูŠู†ุŸ ู„ู„ Z-score ุฅุฐุง ุฃูˆู„ ุญุงุฌุฉ ุจููƒุฑ ููŠู‡ุง ุฃุญูˆู„
1460
+
1461
+ 366
1462
+ 00:29:57,500 --> 00:30:03,420
1463
+ ู„ู„ Z-score ุจุณ ุฃู†ุง ุจุนุฑู ุฅู† ุงู„ Z-score X ู†ู‚ุตูŠ Mu
1464
+
1465
+ 367
1466
+ 00:30:03,420 --> 00:30:08,110
1467
+ over Sigmaุงู„ู€ Mu is given ูˆ Sigma is unknown ุจุจู‚ู‰
1468
+
1469
+ 368
1470
+ 00:30:08,110 --> 00:30:12,750
1471
+ ุชุงู†ูŠ ุฃู†ูƒ ุชุญูˆู„ ู„ู„ Z ู…ุด ู‡ุชุตู„ุญ ุญุงู„ู‡ ู…ุจุงุดุฑุฉ ุนู„ู‰ ุงู„ุฃู‚ู„
1472
+
1473
+ 369
1474
+ 00:30:12,750 --> 00:30:16,010
1475
+ ูŠุนู†ูŠ ู…ุงููŠุด solution direct ุฅุฐุง ุฃู†ุง ุญูƒูŠุช ุฃู†ูƒ ุชุงุฎุฏ
1476
+
1477
+ 370
1478
+ 00:30:16,010 --> 00:30:21,230
1479
+ ุงู„ุญู„ ุจุงู„ normal table ู…ุด ู‡ูŠู†ูุน ุจุฏุง ุฃููƒุฑ ููŠ
1480
+
1481
+ 371
1482
+ 00:30:21,230 --> 00:30:28,990
1483
+ ุงู„ุณูŠู†ุงุฑูŠูˆ ุชุงู†ูŠ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ูˆ ุฃุทู„ุน ูƒูˆูŠุณ ุงู„ุงู† ุฃุทู„ุน
1484
+
1485
+ 372
1486
+ 00:30:28,990 --> 00:30:33,870
1487
+ ุนู„ู‰ ุงู„ู…ุณุงูุงุช ู‡ุฐู‡ ู…ุนุฑูˆูุฉ ู…ุธุจูˆุท ูˆู‡ูŠ ุงู„ู…ูŠู†
1488
+
1489
+ 373
1490
+ 00:30:36,740 --> 00:30:43,780
1491
+ ุฃู†ุง ุจุนุฑู ุงู„ .. ุงู„ู…ุณุงูุฉ ูƒู„ู‡ุง ู†ุต ุนู„ูŠ ู…ูŠู„ูŠ ู…ูŠูˆ ูˆ ู†ุต
1492
+
1493
+ 374
1494
+ 00:30:43,780 --> 00:30:48,660
1495
+ ุนู„ูŠ ุฃุณุงุฑ ุงู„ู…ูŠูˆ ุจุณ ุจุนุฑู ุฅู† ุงู„ู…ู†ุทู‚ุฉ ู‡ุงุฏุฉ ู‡ูŠูƒุŒ ู‡ุงุฏุฉ
1496
+
1497
+ 375
1498
+ 00:30:48,660 --> 00:30:54,380
1499
+ ู‡ูŠูƒุŒ ุงู„ู…ู†ุทู‚ุฉ ู‡ุงุฏุฉ ู‡ูŠูƒ ู…ู† ุฎู…ุณุชุงุดุฑ ุฅู„ู‰ ุณุจุนุชุงุดุฑ ูƒู„
1500
+
1501
+ 376
1502
+ 00:30:54,380 --> 00:30:58,560
1503
+ ู‡ุงุฏุด ุจุชุณุงูˆูŠ ู…ู† ุชู„ุชุงุดุฑ ุฅู„ู‰ ุฎู…ุณุชุงุดุฑุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ
1504
+
1505
+ 377
1506
+ 00:30:58,560 --> 00:31:04,630
1507
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ู‡ุงุฏุฉ ูƒู„ู‡ุง ู‡ูŠูƒู…ุธุจูˆุทุŸ ุจุชุณุงูˆู…ูŠ ..
1508
+
1509
+ 378
1510
+ 00:31:04,630 --> 00:31:09,570
1511
+ ุฎู„ู‘ูŠู†ูŠ ุฃุนู„ู…ูƒ ุนู„ูŠู‡ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุง ู…ู† 15 ุฅู„ู‰ 17
1512
+
1513
+ 379
1514
+ 00:31:09,570 --> 00:31:14,270
1515
+ ูŠุนู†ูŠ ุงู„ุจุฑู…ูŠู„ูŠุฉ between 15 and 17 ู„ุฅู†ู‡ ุนู†ุฏู‡ normal
1516
+
1517
+ 380
1518
+ 00:31:14,270 --> 00:31:19,990
1519
+ distribution ู†ูุณ ุงู„ู…ุณุงูุฉ ุจูŠู† 13 ุฅู„ู‰ 15ุŒ ู…ุธุจูˆุทุŸ ุทูŠุจ
1520
+
1521
+ 381
1522
+ 00:31:19,990 --> 00:31:26,410
1523
+ ู‡ุฐู‡ ู†ูุณ ุงู„ู…ุณุงูุฉ ุจุชุงุจู† ู„ dial ุฒูŠ ุจุนุถุŒ ู„ุทุฑุงู ุฒูŠ ู…ุฑุฉ
1524
+
1525
+ 382
1526
+ 00:31:26,410 --> 00:31:32,420
1527
+ ุชุงู†ูŠุฉุŒ ุงู„ู…ุณุงูุฉ ู‡ุฐู‡ ู…ู† 15 ุฅู„ู‰ 17ูˆ ู‡ูŠุนู†ุฏูŠ ู…ู† ุชู„ุชุงุด
1528
+
1529
+ 383
1530
+ 00:31:32,420 --> 00:31:39,920
1531
+ ู„ุฎู…ุณุชุงุด ู„ุญุธุฉ ุจุนู„ู… ุนู„ูŠู‡ุง ุฏูˆู„ ู…ู† ุฎู…ุณุชุงุด ู„ุณุจุนุชุงุด
1532
+
1533
+ 384
1534
+ 00:31:39,920 --> 00:31:45,580
1535
+ ุชู†ุชูŠู†ุŒ ู…ุตุจูˆุทุŸ ู…ู† ุชู„ุชุงุด ู„ุฎู…ุณุชุงุด ุจุฑุถู‡ ุงุชู†ูŠู† ูุงู„ู…ุณุงุก
1536
+
1537
+ 385
1538
+ 00:31:45,580 --> 00:31:51,140
1539
+ ุญุงู…ู„ู‡ุง ุฒูŠ ุจุนุถ ุงูŠุด ุจุชุงู…ุŸ ุงู„ left ูˆ ุงู„ right ุฒูŠ ุจุนุถ
1540
+
1541
+ 386
1542
+ 00:31:51,140 --> 00:31:56,800
1543
+ ูุจุงู„ุชุงู„ูŠ ู‡ุฐู‡ ุณุจุนุฉ ูˆ ุฃูƒูŠุฏ ู‡ุฐู‡ ุฃุฎุชู‡ุง ุณุจุนุฉ ุฅุฐุง ู…ู† ุบูŠุฑ
1544
+
1545
+ 387
1546
+ 00:31:56,800 --> 00:32:02,840
1547
+ ุญู„ ุฎุงู„ุตุŒ ู‡ูŠุจู‚ู‰ ุณุจุนุฉ ููŠ ุงู„ู…ู†ุฒู„ู…ู† ุฎู„ุงู„ ุงู„ุฑุณู… ู…ุฑุฉ
1548
+
1549
+ 388
1550
+ 00:32:02,840 --> 00:32:08,360
1551
+ ุชุงู†ูŠุฉ ู„ูˆ ุจุฏูŠ ุฃุญูˆู„ ุนู„ู‰ ุงู„ sigma ุจุงุณุชุฎุฏุงู… ุงู„ z score
1552
+
1553
+ 389
1554
+ 00:32:08,360 --> 00:32:11,680
1555
+ ู„ูˆ ุจุฏูŠ ุฃุญูˆู„ ุนู„ู‰ ุงู„ z score ู…ุงุนู†ุฏูŠุด sigma ุจุชู„ุช
1556
+
1557
+ 390
1558
+ 00:32:11,680 --> 00:32:14,400
1559
+ ุทุฑูŠู‚ุฉ ุทูˆูŠู„ุฉ ูˆู…ู…ูƒู† ุชุงุฎุฏ ู…ุนุงูŠุง ูˆู‚ุช ู…ุงุตุงุฑุด ู„ุญุงู„ูŠ
1560
+
1561
+ 391
1562
+ 00:32:14,400 --> 00:32:20,720
1563
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุฃุฑุณู… ูˆ ุฃุฑุณู… ูˆ ุฃููƒุฑ ููŠ ุงู„ุญู„ ุญุณุจ ุงู„
1564
+
1565
+ 392
1566
+ 00:32:20,720 --> 00:32:21,720
1567
+ symmetric distribution
1568
+
1569
+ 393
1570
+ 00:32:24,170 --> 00:32:28,870
1571
+ ููˆุงุถุญ ุฒูŠ ู…ุง ุญูƒูŠุช ู…ู† 15 ู„ 17 ู†ูุณู‡ุง ู…ู† ู‡ู†ุง ู„ 13 ู„ 15
1572
+
1573
+ 394
1574
+ 00:32:28,870 --> 00:32:35,490
1575
+ ูˆู‡ุฐู‡ ู…ุนุฑูˆูุฉ ู„ุฃู‚ู„ ู…ู† 13 7% ุฃูƒูŠุฏ ู„ุฃูƒุชุฑ ู…ู† 17 7% ู„ุฃู†
1576
+
1577
+ 395
1578
+ 00:32:35,490 --> 00:32:41,610
1579
+ ู‡ุฐุง ู…ุง ุงุชุจู‚ู‰ ุนู†ุฏูŠ ู„ูŠุดุŸ ู„ุฃู† ุงู„ู…ุณุงุญุฉ ู…ู† 13 ู„ 15 ู‡ูŠู‡ุง
1580
+
1581
+ 396
1582
+ 00:32:41,610 --> 00:32:47,370
1583
+ ูˆู‡ูŠ ุงู„ 15 ู„ 17 ุงู„ู„ูŠ ุจูŠุชุจู‚ู‰ ู‡ุฏูˆู„ ุชุชู…ู„ู‡ู… ุฒูŠ ุจุนุถ ุจุณ
1584
+
1585
+ 397
1586
+ 00:32:47,370 --> 00:32:49,430
1587
+ ูˆุงุญุฏ ู„ู„ Z-score ุงู„ู„ูŠ positive ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ
1588
+
1589
+ 398
1590
+ 00:32:49,430 --> 00:32:52,190
1591
+ ุงู„ุชุงู†ูŠ ู„ู„ negative ููˆุงุถุญ ู‡ุฐุง positive ู„ุฃู† 17 ุฃูƒุจุฑ
1592
+
1593
+ 399
1594
+ 00:32:52,190 --> 00:32:59,430
1595
+ ู…ู† 15ุตูˆุชุด .. ุจุฑุง ูˆู„ุง ุฌูˆุงู‡ุŸ ูˆ13 ู„ 15 ูˆุถุน ุงู„ C
1596
+
1597
+ 400
1598
+ 00:32:59,430 --> 00:33:05,090
1599
+ ู†ูŠุฌุงุชูŠู ูุจุงู„ุชุงู„ูŠ ุงุชู„ุช ุงูƒุชุฑ ู…ู† 17 ุจุณุงูˆูŠ ุงู„ seven
1600
+
1601
+ 401
1602
+ 00:33:05,090 --> 00:33:09,530
1603
+ percent ุงู„ููƒุฑุฉ ูˆุงุถุญุฉ ุงู„ุฑุณู… ุจูˆุถุญ ูŠุง ุงู„ุฑุณู… ุงู†ุณู‰
1604
+
1605
+ 402
1606
+ 00:33:09,530 --> 00:33:13,630
1607
+ ุงู„ู…ูˆุถูˆุน ูˆุงู†ุง ุจุชููƒุฑ ููŠ ุงู„ุญู„ ู„ูˆ ุงู†ุช ู„ูˆ ุญุงูˆู„ุช ุชุญู„ูŠ
1608
+
1609
+ 403
1610
+ 00:33:13,630 --> 00:33:16,490
1611
+ ู‡ูŠูƒ .. ู…ูˆุถูˆุนุงุช ู…ุด ูƒุงู…ุฉ .. ู…ูˆุถูˆุนุงุช ู…ุด ูƒุงู…ุฉ ู„ูƒู† ุงู†ุง
1612
+
1613
+ 404
1614
+ 00:33:16,490 --> 00:33:19,910
1615
+ ู…ู…ูƒู† ู„ูˆ ููŠ ุนู†ุฏูƒ ูƒู…ุงู† ุดุบู„ุชุงู† ุงู‚ุฏุฑ ุงุนู…ู„ two
1616
+
1617
+ 405
1618
+ 00:33:19,910 --> 00:33:22,170
1619
+ questions ูˆ ุงุญู„ู‡ู… ู…ุนุงุฏู„ุชูŠู† ููŠ ุงู„ู…ุฌู‡ูˆู„ูŠู† ูˆ ู‚ุตุฉ
1620
+
1621
+ 406
1622
+ 00:33:22,170 --> 00:33:30,870
1623
+ ุทูˆูŠู„ุฉู†ุดูˆู ูˆุงุญุฏ ูˆ ุชู„ุงุชูŠู† ู†ูุณ ุงู„ุณุคุงู„ what's
1624
+
1625
+ 407
1626
+ 00:33:30,870 --> 00:33:33,170
1627
+ the probability that the time lapse between two
1628
+
1629
+ 408
1630
+ 00:33:33,170 --> 00:33:36,090
1631
+ consecutive trays will be between fifteen and
1632
+
1633
+ 409
1634
+ 00:33:36,090 --> 00:33:40,270
1635
+ sixteenุŸ
1636
+
1637
+ 410
1638
+ 00:33:40,270 --> 00:33:49,470
1639
+ ุจูŠู† ุฎู…ุณุงุด ูˆ ุณุช ุนุดุฑุฉ ู„ุญุธุฉ ู‡ูˆ ู…ุด ุนุงูŠุฒ ุนุงูŠุฒ ู‡ุฐู‡ ุจุณ
1640
+
1641
+ 411
1642
+ 00:33:54,180 --> 00:34:00,460
1643
+ ุนุงูŠุฒ ุจูŠู† 15 ุงู„ู„ูŠ ุฃู†ุง ุฃุนู…ู„ูƒ ุนู„ูŠู‡ุง dots ู‡ุฐู‡ ุจูŠู† 15 ูˆ
1644
+
1645
+ 412
1646
+ 00:34:00,460 --> 00:34:05,160
1647
+ 16 ุดูˆู ุฃู†ุง ุทู„ุนุช to the right of 17 greater than 17
1648
+
1649
+ 413
1650
+ 00:34:05,160 --> 00:34:15,440
1651
+ 7 percent ูˆ 13 ู…ุนุฑูˆูุฉ ุชู… ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ู†ุต ู†ู‚ุต
1652
+
1653
+ 414
1654
+ 00:34:15,440 --> 00:34:18,760
1655
+ ู…ุฌู…ูˆุญุฉ ู„ุฃู† ๏ฟฝ๏ฟฝู„ area to the right of the mean equals
1656
+
1657
+ 415
1658
+ 00:34:18,760 --> 00:34:21,680
1659
+ one half in the normal distribution symmetric
1660
+
1661
+ 416
1662
+ 00:34:21,680 --> 00:34:24,910
1663
+ around the meanSo the area to the right equals the
1664
+
1665
+ 417
1666
+ 00:34:24,910 --> 00:34:31,730
1667
+ area to the left ูุจุงู„ุชุงู„ูŠ ู‡ุชุณุงูˆูŠ ูƒู„ู‡ุง ู†ุต ู†ู‚ุต ุงู„ู„ูŠ
1668
+
1669
+ 418
1670
+ 00:34:31,730 --> 00:34:42,090
1671
+ ุฃู†ุง ุทู„ุนุชู‡ุง ุงู„ุณุงุจุนุฉ ุฒูŠ ุงู„ุชู„ุงุชุงุด ูุชู„ุงุชูŠู† ูู…ูŠุฉ is
1672
+
1673
+ 419
1674
+ 00:34:42,090 --> 00:34:48,050
1675
+ an area between fifteen and sixteen equals thirty
1676
+
1677
+ 420
1678
+ 00:34:48,050 --> 00:34:52,410
1679
+ percent ูˆุถุน ุงู„ุญู„ ุณู‡ู„ ุจุนุฏ ู…ุง ุฑุณู…ุช
1680
+
1681
+ 421
1682
+ 00:34:55,690 --> 00:35:00,990
1683
+ ู‡ุฐู‡ ุงู„ุณุคุงู„ ูˆุงุญุฏ ู‡ุฐู‡ ุงู„ุณุคุงู„ ุชู„ุงุชูŠู† ุงุชู†ูŠู†
1684
+
1685
+ 422
1686
+ 00:35:00,990 --> 00:35:06,950
1687
+ ูˆ ุชู„ุงุชูŠู† ู…ุง ู‡ูŠ ุงู„ู…ุตุงุฏุฑุฉ ุงู† ุงู„ูˆู‚ุช ุจูŠู† ุงุชู†ูŠู† ูˆ
1688
+
1689
+ 423
1690
+ 00:35:06,950 --> 00:35:09,830
1691
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1692
+
1693
+ 424
1694
+ 00:35:09,830 --> 00:35:10,110
1695
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1696
+
1697
+ 425
1698
+ 00:35:10,110 --> 00:35:16,430
1699
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1700
+
1701
+ 426
1702
+ 00:35:16,430 --> 00:35:19,450
1703
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1704
+
1705
+ 427
1706
+ 00:35:19,450 --> 00:35:19,810
1707
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1708
+
1709
+ 428
1710
+ 00:35:19,810 --> 00:35:19,810
1711
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1712
+
1713
+ 429
1714
+ 00:35:19,810 --> 00:35:20,170
1715
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ
1716
+
1717
+ 430
1718
+ 00:35:20,170 --> 00:35:20,250
1719
+ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู† ูˆ ุชู„ุงุชูŠู†
1720
+
1721
+ 431
1722
+ 00:35:31,040 --> 00:35:39,240
1723
+ ู…ู…ุชุงุฒ ุงุทุฑุญ ุงู„ุฃุทุฑุงู ู…ู† ุชู„ุชุงุด ู„ุณุชุงุด ู‡ูŠ ุชู„ุชุงุด ู„ุณุชุงุด
1724
+
1725
+ 432
1726
+ 00:35:39,240 --> 00:35:49,180
1727
+ ู‡ู†ุง ููŠ ุชู„ุชุงุด ูˆ ู‡ู†ุง ููŠ ุณุจุนุฉ ูˆ ู‡ู†ุง ููŠ ุณุจุนุฉ ุฅู„ู‰
1728
+
1729
+ 433
1730
+ 00:35:49,180 --> 00:35:53,340
1731
+ ุงู„ู…ู†ุทู‚ูŠุฉ ุฃูˆ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ู„ุฃู† ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ูƒู„ู‡ุง ุดูˆ
1732
+
1733
+ 434
1734
+ 00:35:53,340 --> 00:36:03,020
1735
+ ุจุชุณุงูˆูŠ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ุงู„ู…ู†ู‚ุถุฉุจุชุณุงูˆูŠ ูˆุงุญุฏ ู†ู‚ุตุŒ ู†ู‚ุต ู…ุง
1736
+
1737
+ 435
1738
+ 00:36:03,020 --> 00:36:09,000
1739
+ ุชุจู‚ู‰ุŒ ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ ุนู†ุฏู‰ ุฅูŠุด ุชู„ุชุงุด ุฒูŠ ุงู„ุณุจุนุฉ ูˆุนู„ู‰
1740
+
1741
+ 436
1742
+ 00:36:09,000 --> 00:36:18,020
1743
+ ุงู„ุดู…ุงู„ ุนู†ุฏู‰ ุณุจุนุฉุŒ ู…ุธุจูˆุท ู‡ูŠูƒุŒ ุฅูŠุด ุจุทู„ุนุŸ ุณุชุฉ ูˆ
1744
+
1745
+ 437
1746
+ 00:36:18,020 --> 00:36:20,660
1747
+ ุชู…ุงู†ูŠุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุฃูŠ ุชู„ุงุชูŠู†
1748
+
1749
+ 438
1750
+ 00:36:25,780 --> 00:36:29,240
1751
+ ุฃู†ุง ุญุฏูŠุซู‡ุง ุจุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ุจุชุณุงูˆูŠ ูˆุงุญุฏ
1752
+
1753
+ 439
1754
+ 00:36:29,240 --> 00:36:34,940
1755
+ ู†ุงู‚ุต ู…ุงุชุจู‚ู‰ ู…ุงุชุจู‚ู‰ ุงู„ู„ูŠ ู‡ูŠ ุณุงู…ูŠู‡ุง A ุณุงู…ูŠู‡ุง B ูˆู‡ุงุฏูŠ
1756
+
1757
+ 440
1758
+ 00:36:34,940 --> 00:36:42,480
1759
+ C ู„ูˆ ุฌู…ุนุช A ูˆB ูˆC ู…ุน ุจุนุถ ุณุจุนุฉ ูˆุนุดุฑูŠู† ุณุจุนุฉ ูˆุนุดุฑูŠู†
1760
+
1761
+ 441
1762
+ 00:36:42,480 --> 00:36:47,540
1763
+ ุจุชุทู„ุน ุชู„ุงุช ุชู…ุงู†ูŠู† ุงู‡ุŸ ุงูŠู‡ ุฌู…ุน ู‡ุฏูˆู„ุŸ ุชู„ุงุชุงุดุฑ ุณุจุนุฉ
1764
+
1765
+ 442
1766
+ 00:36:47,540 --> 00:36:53,200
1767
+ ูˆุนุดุฑูŠู† ุณุจุนุฉ ูˆุนุดุฑูŠู† ู…ุด ู‡ูŠูƒุŸ ุงุด
1768
+
1769
+ 443
1770
+ 00:36:53,200 --> 00:36:53,660
1771
+ ู…ุงุชู„ุงุฒู…
1772
+
1773
+ 444
1774
+ 00:36:56,930 --> 00:37:04,510
1775
+ ุฃุฏูˆุงุฑ ุงู„ู…ุฌู…ูˆุนุฉ ูƒุฏู‡ุŸ 27 ู…ุธุจูˆุท
1776
+
1777
+ 445
1778
+ 00:37:04,510 --> 00:37:10,190
1779
+ 73 between
1780
+
1781
+ 446
1782
+ 00:37:10,190 --> 00:37:17,570
1783
+ 13 and 16 seconds ู…ู† 13 ู„ุบุงูŠุฉ 16 ุฃูˆ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ
1784
+
1785
+ 447
1786
+ 00:37:17,570 --> 00:37:25,480
1787
+ ุงุญู†ุง ุญุณุจู†ุง ุชูˆ ุจูŠู† 15 ูˆ 16 ูƒุฏู‡ุŸ 30ู‡ูŠูƒูˆู† ุจูŠู† 14 ูˆ 15
1788
+
1789
+ 448
1790
+ 00:37:25,480 --> 00:37:34,140
1791
+ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุงุฐุง ู‡ุฐู‡ 30 ูˆ ู‡ุฐู‡ 7 ู‡ุฐู‡ ูƒู…ุŸ 13 ู…ุธุจูˆุทุŸ
1792
+
1793
+ 449
1794
+ 00:37:34,140 --> 00:37:42,640
1795
+ ู‡ุฐู‡ ูƒุซูŠุฑุฉ ูˆ ููŠ ุงู„ุขุฎุฑ 30 ูˆ 30 ูˆ 13 73 ุทูŠุจ ุงู„ู„ูŠ
1796
+
1797
+ 450
1798
+ 00:37:42,640 --> 00:37:43,060
1799
+ ุจุนุฏู‡ุงุŸ
1800
+
1801
+ 451
1802
+ 00:37:53,900 --> 00:38:00,120
1803
+ ุงู„ุฎุงุตูŠุฉ ู‡ูŠ 20% ู…ู† ุงู„ูˆู‚ุช ุณูŠูƒูˆู† ุฃู‚ู„ ู…ู† ุนุฏุฉ ุซุงู†ูˆูŠุฉ
1804
+
1805
+ 452
1806
+ 00:38:00,120 --> 00:38:05,000
1807
+ ุซุงู†ูˆูŠุฉ
1808
+
1809
+ 453
1810
+ 00:38:05,000 --> 00:38:23,080
1811
+ ุฏู‚ูŠู‚ุฉ
1812
+
1813
+ 454
1814
+ 00:38:43,250 --> 00:38:47,730
1815
+ ุจูŠุญูƒูŠ ุงู„ู€ probability is 20% that the time lapse
1816
+
1817
+ 455
1818
+ 00:38:47,730 --> 00:38:51,850
1819
+ will be shorter how many secondsุŸ ุฃูŠุด ุงู„ู‚ูŠู…ุฉุŸ ุงู„ู„ูŠ
1820
+
1821
+ 456
1822
+ 00:38:51,850 --> 00:38:55,150
1823
+ ุฃู‚ู„ ู…ู†ู‡ุงุŒ shorter ุฃู‚ู„ุŒ 27%
1824
+
1825
+ 457
1826
+ 00:38:58,150 --> 00:39:02,130
1827
+ 14 ู„ุฃู†ู‡ ุทู„ุน ุงู„ู€ 14 ูŠุนู†ูŠ ู‡ูˆ ุนุงูŠุฒ probability of X
1828
+
1829
+ 458
1830
+ 00:39:02,130 --> 00:39:08,210
1831
+ less than shorter less than A equals 20% ู‡ู‰ ุงู„ู„ู‰
1832
+
1833
+ 459
1834
+ 00:39:08,210 --> 00:39:13,230
1835
+ ุฃู†ุง ุนุงูŠุฒู‡ุง what's the value of AุŸ ูˆูŠู† ููŠู‡ ุนู†ุฏูƒ 20%
1836
+
1837
+ 460
1838
+ 00:39:13,230 --> 00:39:19,250
1839
+ ุจุชูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ุŸ ููŠู‡ 7 ูˆ 13 ู‡ูŠ 20 ุงุฐุง ู‡ูˆ ูˆุฑุงู‡ุง ุฃู‚ู„
1840
+
1841
+ 461
1842
+ 00:39:19,250 --> 00:39:25,290
1843
+ ู…ู† 14 ุงุฐุง ุงู†ุง A equal 14 ุงู„ 16 ู‡ุฐุง ุฃูƒุชุฑ ู„ูˆ ุญูƒู‰
1844
+
1845
+ 462
1846
+ 00:39:25,290 --> 00:39:31,910
1847
+ shorter ู„ูˆ ุญูƒู‰ longerุจุตูŠุฑ ูŠุง 16 ูˆุงุถุญุŸ ุฅุฐุงู‹ shorter
1848
+
1849
+ 463
1850
+ 00:39:31,910 --> 00:39:38,650
1851
+ ุงู„ู„ูŠ ู‡ู†ุง ู…ุนู†ุงู‡ุง ุฃู‚ู„ ู…ู† a ู„ูˆ ูƒุงู†ุช longer ุงู„ุฌูˆุงุจ
1852
+
1853
+ 464
1854
+ 00:39:38,650 --> 00:39:45,570
1855
+ ุจูŠูƒูˆู† ู„ูˆ ุนุงูŠุฒ P
1856
+
1857
+ 465
1858
+ 00:39:45,570 --> 00:39:51,950
1859
+ of X greater than P equal to 20% what's the value
1860
+
1861
+ 466
1862
+ 00:39:51,950 --> 00:39:55,970
1863
+ of P such that P of X greater than P equal to 20%
1864
+
1865
+ 467
1866
+ 00:39:58,190 --> 00:40:06,350
1867
+ ู‚ู„ู„ูŠ 16 ู B equal 16 one
1868
+
1869
+ 468
1870
+ 00:40:06,350 --> 00:40:14,450
1871
+ more 34 the middle 60% of the time left will fall
1872
+
1873
+ 469
1874
+ 00:40:14,450 --> 00:40:18,930
1875
+ between which two numbers ุงู„ middle between for
1876
+
1877
+ 470
1878
+ 00:40:18,930 --> 00:40:24,790
1879
+ example A and B this area equals 60% ุงูŠุด ู‚ูŠู…ุฉ A ูˆ
1880
+
1881
+ 471
1882
+ 00:40:24,790 --> 00:40:33,480
1883
+ B ุจุญูŠุซ ู…ุณุงุญุฉ ุงู„ B ู… 16%ูˆุงุถุญ 60% 30 plus 30 so 14
1884
+
1885
+ 472
1886
+ 00:40:33,480 --> 00:40:37,700
1887
+ and 16 one
1888
+
1889
+ 473
1890
+ 00:40:37,700 --> 00:40:48,040
1891
+ more
1892
+
1893
+ 474
1894
+ 00:40:48,040 --> 00:40:55,380
1895
+ between c1 and c2 equals 86
1896
+
1897
+ 475
1898
+ 00:40:57,250 --> 00:41:01,310
1899
+ ู…ุง ู‡ูŠ ู‚ูŠู…ุฉ C1 ูˆC2 ุฅุฐุง ูƒุงู†ุช ู‚ูŠู…ุฉ C1 ูˆC2 ู…ุซู„ู‹ุง
1900
+
1901
+ 476
1902
+ 00:41:01,310 --> 00:41:10,450
1903
+ ุชู‚ุฑูŠุจู‹ุง 86 ู…ุง ู‡ูŠ ู‚ูŠู…ุฉ C1 ูˆC2 ู‡ูŠ
1904
+
1905
+ 477
1906
+ 00:41:10,450 --> 00:41:19,630
1907
+ 60 ู…ุธุจูˆุท ูˆู‡ูŠ 13 ูˆ13 26 ุฅุฐุง ุฅูŠุด ู‡ูŠูƒูˆู† ุชู‚ุฑูŠุจู‹ุง ุจูŠู†
1908
+
1909
+ 478
1910
+ 00:41:19,630 --> 00:41:20,750
1911
+ 13 ูˆ17
1912
+
1913
+ 479
1914
+ 00:41:29,680 --> 00:41:45,120
1915
+ ุฃูŠ ุณุคุงู„ุŸ ุทุจ ู„ูˆ ุณุฃู„ุชูƒุŒ ูƒุฏู‡ ุฃุฎู„ุต ุงู„ุณุคุงู„ ุฎู„ู‘ูŠู†ูŠ
1916
+
1917
+ 480
1918
+ 00:41:45,120 --> 00:41:53,780
1919
+ ุฃู…ุณุญ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุณุคุงู„ ุจุณูŠุทุŒ determine ุณูŠุฌู…ุง
1920
+
1921
+ 481
1922
+ 00:41:53,780 --> 00:41:57,020
1923
+ ุงุญุณุจู„ูŠ ุณูŠุฌู…ุง
1924
+
1925
+ 482
1926
+ 00:42:00,180 --> 00:42:02,880
1927
+ ู†ูุชุฑุถ ุงู† ุงู†ุง ู„ุณู‡ ู„ู‡ุฐู‡ ุงู„ุญุงู„ุงุช ูˆ ุงุฑูŠุฏ ุงู† ุงุฎุฑุฌ ุงู„ู€
1928
+
1929
+ 483
1930
+ 00:42:02,880 --> 00:42:07,860
1931
+ Sigma ู…ู…ูƒู† ุงุฎุฏ ุงูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ู…ู…ูƒู† ุงุฎุฏ P of X
1932
+
1933
+ 484
1934
+ 00:42:07,860 --> 00:42:11,980
1935
+ greater than 17 equals 7% ูˆ ุงุญู„ ุนู„ูŠู‡ุง ุฑูƒุฒูŠ ู…ุนุงูŠุง
1936
+
1937
+ 485
1938
+ 00:42:11,980 --> 00:42:21,900
1939
+ this equals 7% ู…ุธุจูˆุท ู„ุญูŠู†ู‡ุง ููŠ ุงูˆู„ ูˆุงุญุฏุฉ now this
1940
+
1941
+ 486
1942
+ 00:42:21,900 --> 00:42:22,940
1943
+ probability is given
1944
+
1945
+ 487
1946
+ 00:42:32,970 --> 00:42:40,530
1947
+ ู…ุนู†ู‰ ุจูŠูˆ ุจุงูƒุณ ุฃู‚ู„ ู…ู† ุณุจู†ุชูŠู† ู…ุงุฐุง ูŠุนู†ูŠุŸ ุงู„ุฃูƒุจุฑ
1948
+
1949
+ 488
1950
+ 00:42:40,530 --> 00:42:44,110
1951
+ ุณุจุนุฉุŒ ู…ุงุฐุง ูŠุนู†ูŠุŸ ูˆุงุญุฏ ู†ู‚ู„ ุณุจุนุฉ ุฅู„ู‰ ุชู„ุงุชุฉ ูˆุณุชูŠู† ููŠ
1952
+
1953
+ 489
1954
+ 00:42:44,110 --> 00:42:49,550
1955
+ ุงู„ู…ุงุฆุฉ ุงู„ู€ probability is givenุŒ this X is givenุŒ
1956
+
1957
+ 490
1958
+ 00:42:49,550 --> 00:42:55,630
1959
+ now convert to this scoreุฒูŠ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ
1960
+
1961
+ 491
1962
+ 00:42:55,630 --> 00:42:56,470
1963
+ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1964
+
1965
+ 492
1966
+ 00:42:56,470 --> 00:43:02,110
1967
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1968
+
1969
+ 493
1970
+ 00:43:02,110 --> 00:43:06,090
1971
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1972
+
1973
+ 494
1974
+ 00:43:06,090 --> 00:43:08,130
1975
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1976
+
1977
+ 495
1978
+ 00:43:08,130 --> 00:43:08,690
1979
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1980
+
1981
+ 496
1982
+ 00:43:08,690 --> 00:43:09,970
1983
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1984
+
1985
+ 497
1986
+ 00:43:09,970 --> 00:43:18,050
1987
+ ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู† ุงูƒุชุฑ ู…ู†
1988
+
1989
+ 498
1990
+ 00:43:18,050 --> 00:43:29,180
1991
+ ุงูƒุชุฑ ู…ู† ุงูƒุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ
1992
+
1993
+ 499
1994
+ 00:43:29,180 --> 00:43:33,540
1995
+ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.93 ุชู†ุธุฑ ุฅู„ู‰
1996
+
1997
+ 500
1998
+ 00:43:33,540 --> 00:43:33,800
1999
+ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ
2000
+
2001
+ 501
2002
+ 00:43:33,800 --> 00:43:34,580
2003
+ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96
2004
+
2005
+ 502
2006
+ 00:43:34,580 --> 00:43:37,400
2007
+ ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0
2008
+
2009
+ 503
2010
+ 00:43:37,400 --> 00:43:39,140
2011
+ .96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ
2012
+
2013
+ 504
2014
+ 00:43:39,140 --> 00:43:42,060
2015
+ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ
2016
+
2017
+ 505
2018
+ 00:43:42,060 --> 00:43:49,170
2019
+ ู‚ูŠู…ุฉ ู„ู€ 0.96 ุชู†ุธุฑ ุฅู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู€ 0.96So now look
2020
+
2021
+ 506
2022
+ 00:43:49,170 --> 00:44:02,550
2023
+ at 93 ุทู„ุน ุนู„ู‰ ุฃู‚ุฑุจ ู‚ูŠู…ุฉ ู„ู„ 93 ูู‰
2024
+
2025
+ 507
2026
+ 00:44:02,550 --> 00:44:10,190
2027
+ ุนู†ุฏู‰ 9332 ู‡ู„ ูู‰ ุฃู‚ุฑุจ ู…ู†ู‡ุง ู„ุฃ ูู‰ ุฃู‚ุฑุจ ูˆู„ุง ู„ุฃ ุชู„ุงุญุธ
2028
+
2029
+ 508
2030
+ 00:44:10,190 --> 00:44:16,990
2031
+ ูู‰ ุนู†ุฏู‰ 9306 ู‡ุฐุง ุฃู‚ุฑุจ ูˆุงุญุฏ ุชู‚ุฑูŠุจุงู‡ูŠ ููŠ ุงู„ุขุฎุฑ ุงู„ูุฑู‚
2032
+
2033
+ 509
2034
+ 00:44:16,990 --> 00:44:21,010
2035
+ ู…ุด ูƒุจูŠุฑ ุจุณ the exact .. the approximate ูŠุนู†ูŠ the
2036
+
2037
+ 510
2038
+ 00:44:21,010 --> 00:44:27,230
2039
+ more accurate answer is 0.9306 ู…ุด ู‡ุฐุง ุงู„ุฃู‚ุฑุจ ู‡ูŠูƒุŸ
2040
+
2041
+ 511
2042
+ 00:44:27,230 --> 00:44:33,230
2043
+ ุฅุฐุง ุงู†ุง ุงุดูŠ ุฌูˆุงุจ ุทุจุนู‡ุง ุฃุฑุจุนุฉ ุชุญุช ุงู„ุชู…ุงู†ูŠุฉ ุฅุฐุง ุงู„ Z
2044
+
2045
+ 512
2046
+ 00:44:33,230 --> 00:44:38,890
2047
+ ู…ู‚ุงุจู„ ู„ู‡ุฐู‡ one point four eight this is my Z this
2048
+
2049
+ 513
2050
+ 00:44:38,890 --> 00:44:39,890
2051
+ is equal to two over sigma
2052
+
2053
+ 514
2054
+ 00:44:43,220 --> 00:44:48,760
2055
+ ุฅุฐุง ุฃู†ุง ูƒู„ ู…ุง ูุนู„ุชู‡ ู‡ูˆ ุญูˆู„ุช ุงู„ู€ z-score ูˆุทู„ุนุช 93%
2056
+
2057
+ 515
2058
+ 00:44:48,760 --> 00:44:54,200
2059
+ ุทู„ุนุช ู…ู† ุงู„ู€ table ุฃู‚ุฑุจ ูˆุงุญุฏุฉ ุฅู„ู‰ 1.48 ูƒูŠู ู†ุฌุฏ
2060
+
2061
+ 516
2062
+ 00:44:54,200 --> 00:44:58,560
2063
+ ุณูŠุฌู…ุงุŸ ู†ุนู…ู„ ุนุดุงู† cross multiplication ู†ุถุฑุจ ููŠ ุจุนุถ
2064
+
2065
+ 517
2066
+ 00:44:58,560 --> 00:45:05,420
2067
+ ุถุฑุจ ุชุจุงุฏู„ ุงูŠุด
2068
+
2069
+ 518
2070
+ 00:45:05,420 --> 00:45:12,340
2071
+ ุจูŠุทู„ุน ุงู„ุญูŠู† ู„ูˆ ุจูŠุชูƒู…ู„ ุจูŠุทู„ุน 1.48 ุณูŠุฌู…ุง equal to
2072
+
2073
+ 519
2074
+ 00:45:16,010 --> 00:45:25,210
2075
+ ูˆ 1.48 ูˆ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ู‡ุฐุง ุงู„ุฅุฌุงุจุฉ 1.35 ูู‡ุฐุง ู‡ูˆ
2076
+
2077
+ 520
2078
+ 00:45:25,210 --> 00:45:30,510
2079
+ ุณูŠุฌู…ุงูƒ ุฅุฐุง
2080
+
2081
+ 521
2082
+ 00:45:30,510 --> 00:45:34,990
2083
+ ูƒู†ุง ู†ุนุฑู ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ
2084
+
2085
+ 522
2086
+ 00:45:34,990 --> 00:45:39,490
2087
+ ูŠู…ูƒู†ูƒ ุฃู† ุชุชุฎูŠู„ ุณูŠุฌู…ุง ุงู†ุง ุฃุฎุชุงุฑ ู‡ุฐุง ูŠู…ูƒู†ูƒ ุฃู† ุชุฎุชุงุฑ
2088
+
2089
+ 523
2090
+ 00:45:39,490 --> 00:45:45,610
2091
+ ุฃูŠุถุง ูˆุงุญุฏุฉ ู„ุฐุง ุจูŠุจู‚ู‰ ุฃูƒุณูŠุบุฑุงุชุฑ ู…ู† 17 ูŠู‚ู„ 7%ู…ุฑุฉ
2092
+
2093
+ 524
2094
+ 00:45:45,610 --> 00:45:49,250
2095
+ ุฃุฎุฑู‰ุŒ ุงู„ู…ุฌู„ุฏ ูŠุนุทูŠ ุงู„ู…ู†ุทู‚ุฉ ู„ู„ุฌู‡ุฉ ุงู„ูŠุณุฑู‰ุŒ ู„ุฐู„ูƒ ุจูŠุจูƒุณ
2096
+
2097
+ 525
2098
+ 00:45:49,250 --> 00:45:54,350
2099
+ ุฃูƒุชุฑ ู…ู† 17 ูŠู‚ู„ 0.93. ุงู„ุขู†ุŒ ุฅุฐุง ุชู†ุธุฑ ุฅู„ู‰ ุฌุณู…
2100
+
2101
+ 526
2102
+ 00:45:54,350 --> 00:46:00,570
2103
+ ุงู„ู…ุฌู„ุฏุŒ ู„ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉุŒ ู‚ูŠู…ุชู‡ ุงู„ุฃู‚ู„ ู‡ูˆ 0.9306ุŒ 0
2104
+
2105
+ 527
2106
+ 00:46:00,570 --> 00:46:08,270
2107
+ .9306ุŒ ุงู„ู„ูŠ ูŠุชุฌุงูˆุฒ ุฅู„ู‰ 1.4 ุฃู‚ู„ 8. ู„ุฐู„ูƒุŒ ู‡ุฐุง ู‡ูˆ
2108
+
2109
+ 528
2110
+ 00:46:08,270 --> 00:46:13,320
2111
+ ู…ู‚ุงุฑู†ุฉ ุฒูŠ ู…ูŠุฒูŠุŒ 1.48. ู‡ุฐุง ูŠู‚ู„ 2 ุนู„ู‰ ุณูŠุฌู…ุง.ู„ู„ุญุตูˆู„
2112
+
2113
+ 529
2114
+ 00:46:13,320 --> 00:46:17,760
2115
+ ุนู„ู‰ ุณูŠุฌู…ุง ูู‚ุท ู†ุถูŠู .. ุฃุนู†ูŠ ุนุจุฑ ุงู„ู…ุฒูŠุฏูŠุฉ ู†ุญุตู„ ุนู„ู‰
2116
+
2117
+ 530
2118
+ 00:46:17,760 --> 00:46:22,640
2119
+ 12.48 ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† 2 ุซู… ุฃุฎูŠุฑู‹ุง ุณูŠุฌู…ุง ุฃูƒุชุฑ ู…ู† 1.35
2120
+
2121
+ 531
2122
+ 00:46:22,640 --> 00:46:26,060
2123
+ ุณุคุงู„ูŠู†
2124
+
2125
+ 532
2126
+ 00:46:26,060 --> 00:46:30,180
2127
+ .. ุชุนู„ูŠู‚ุงุช ..
2128
+
2129
+ 533
2130
+ 00:46:30,180 --> 00:46:35,140
2131
+ ุณุฃุนุทูŠูƒ ู‡ุฐุง ุงู„ู€ Z ุŒ ุงู„ู€ positive ุตุญูŠุญุŸ
2132
+
2133
+ 534
2134
+ 00:46:35,140 --> 00:46:39,720
2135
+ ุฃูŠ ุณุคุงู„ุŸ ุฏุนู†ุง
2136
+
2137
+ 535
2138
+ 00:46:39,720 --> 00:46:45,110
2139
+ ู†ุฌุฑุจู„ูˆ ุฃุฎุฏู†ุง ุฃูŠ ูˆุงุญุฏุฉ .. ุจุณ ุฎุฏ ูˆุงุญุฏุฉ ุณู‡ู„ุฉ ูŠุนู†ูŠ ..
2140
+
2141
+ 536
2142
+ 00:46:45,110 --> 00:46:48,210
2143
+ ูŠุนู†ูŠ ุชุบู„ุจูŠุด ุญุงู„ูƒ ููŠ ุงู„ .. ุฎู„ูŠู†ุง ู†ุงุฎุฏ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉุŒ
2144
+
2145
+ 537
2146
+ 00:46:48,210 --> 00:46:52,710
2147
+ ุจุฑุถู‡ ุณุคุงู„ูƒ ูƒูˆูŠุณ ุฒู…ูŠู„ุชูƒ ุงู„ู„ูŠ ุจุชุณุฃู„ ู†ุงุฎุฏ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ
2148
+
2149
+ 538
2150
+ 00:46:52,710 --> 00:46:57,690
2151
+ ุฅูŠุด ุทู„ุน ู…ุนู†ู‰ ูˆุงุญุฏุฉ ู‡ุงุฏุฉุŒ ู†ูุชุฑุถ ุจูŠ ุฅูƒุณูŠ greater
2152
+
2153
+ 539
2154
+ 00:46:57,690 --> 00:47:03,890
2155
+ than ุจูŠ equal twenty and ุจูŠ was sixteenุŒ ู…ุธุจูˆุทุŸ
2156
+
2157
+ 540
2158
+ 00:47:03,890 --> 00:47:04,710
2159
+ ุฎู„ูŠู†ุง ู†ุญู„ ุนู„ูŠู‡ุง
2160
+
2161
+ 541
2162
+ 00:47:10,760 --> 00:47:19,840
2163
+ ุจุนูŠุฏู‹ุง ุจูŠ ู ุงูƒุณ ุฃู‚ู„ ู…ู† 16 ูŠู‚ู„ ู„ู€ 20% ุจูŠ
2164
+
2165
+ 542
2166
+ 00:47:19,840 --> 00:47:25,920
2167
+ ู ุงูƒุณ ุฃู‚ู„ ู…ู† 16 ูŠู‚ู„ ู„ู€ 80% ุงู„ุขู† ุงู†ุธุฑ ุฅู„ู‰ ุงู„ู…ุนุฑูุฉ
2168
+
2169
+ 543
2170
+ 00:47:25,920 --> 00:47:33,940
2171
+ ู„ู„ู…ู‚ุงุฏู…ุฉ ุงู„ุฃู‚ู„ูŠุฉ ู„ู€ 0.80 ู†ุญู†
2172
+
2173
+ 544
2174
+ 00:47:33,940 --> 00:47:36,720
2175
+ ู„ุฏูŠู†ุง ู‡ุฐุง 7995
2176
+
2177
+ 545
2178
+ 00:47:41,150 --> 00:47:45,750
2179
+ ุฃู†ุง ุจุฏูˆุฑุฉ ุนู„ู‰ ุงู„ 8 ู…ู† ุงู„ุนุดุฑุฉ ุฌูˆุง ููŠู‡ ุฃู‚ุฑุจ ู…ู†ู‡ุง ู‡ุฐุง
2180
+
2181
+ 546
2182
+ 00:47:45,750 --> 00:47:53,930
2183
+ ุจุนุฏ ุดูˆูŠุฉ ู…ุด ู‡ูŠูƒ ุฅุฐุง ู†ุดูŠู„ ุฌูˆุงุจ ุญูˆู„ุช ู„ู„ z score 16
2184
+
2185
+ 547
2186
+ 00:47:53,930 --> 00:48:00,030
2187
+ mean equal 15 over sigma equal point eight so
2188
+
2189
+ 548
2190
+ 00:48:00,030 --> 00:48:05,510
2191
+ again one over sigma equal eighty percent now my z
2192
+
2193
+ 549
2194
+ 00:48:05,510 --> 00:48:08,350
2195
+ score again is point eight under four
2196
+
2197
+ 550
2198
+ 00:48:11,060 --> 00:48:16,040
2199
+ ู‡ุฐุง ูŠุนู†ูŠ ูˆุงุญุฏ ุนุจุฑ ุณูŠุฌู…ุง ุงุฐุง ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2200
+
2201
+ 551
2202
+ 00:48:16,040 --> 00:48:18,860
2203
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2204
+
2205
+ 552
2206
+ 00:48:18,860 --> 00:48:21,420
2207
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2208
+
2209
+ 553
2210
+ 00:48:21,420 --> 00:48:21,760
2211
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2212
+
2213
+ 554
2214
+ 00:48:21,760 --> 00:48:22,600
2215
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2216
+
2217
+ 555
2218
+ 00:48:22,600 --> 00:48:23,940
2219
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2220
+
2221
+ 556
2222
+ 00:48:23,940 --> 00:48:26,720
2223
+ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ ุนุจุงุฑุฉ
2224
+
2225
+ 557
2226
+ 00:48:26,720 --> 00:48:36,580
2227
+ ุนุจุงุฑุฉ
2228
+
2229
+ 558
2230
+ 00:48:43,800 --> 00:48:49,040
2231
+ ุทูŠุจ ุฅูŠุด ุงู„ุฎุทุฃ ูˆูŠู†ุŸ ู‡ุฐุง ุจูŠู‡ ูƒุงู† ุงู„ 16 ู…ุธุจูˆุท ุงูƒุณ
2232
+
2233
+ 559
2234
+ 00:48:49,040 --> 00:49:01,040
2235
+ greater than 16 equal to twenty percent ุทูŠุจ
2236
+
2237
+ 560
2238
+ 00:49:01,040 --> 00:49:01,920
2239
+ ุฅูŠุด ุงู„ุฎุทุฃ ูˆูŠู†ุŸ
2240
+
2241
+ 561
2242
+ 00:49:11,770 --> 00:49:17,490
2243
+ ู‡ุฐุง 1.35 P of X greater than P ุฅูŠุด ูƒุงู† ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ
2244
+
2245
+ 562
2246
+ 00:49:17,490 --> 00:49:25,050
2247
+ ุทู„ุนู†ุงู‡ ุงู„ู…ุซู„
2248
+
2249
+ 563
2250
+ 00:49:25,050 --> 00:49:27,630
2251
+ ุงู„ู„ูŠ ูุงุชุช ุฅูŠุด ุทู„ุน ุงู„ุฌูˆุงุจ P greater X greater than
2252
+
2253
+ 564
2254
+ 00:49:27,630 --> 00:49:34,460
2255
+ P ูƒุงู† 16 ู…ุธุจูˆุทุทุจ ู‡ูŠ 16 ู†ู‚ุณู…ูŠู‡ ุนู„ู‰ ุณูŠุฌู…ุง one over
2256
+
2257
+ 565
2258
+ 00:49:34,460 --> 00:49:38,560
2259
+ sigma ู…ู…ูƒู†
2260
+
2261
+ 566
2262
+ 00:49:38,560 --> 00:49:41,300
2263
+ approximate answer ุตุญูŠุญ ู‡ูˆ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ููŠ ุงู„ูƒุชุงุจ
2264
+
2265
+ 567
2266
+ 00:49:41,300 --> 00:49:46,540
2267
+ ุงู„ู„ูŠ ููŠ ุงู„ table point seven nine nine five ู„ูˆ
2268
+
2269
+ 568
2270
+ 00:49:46,540 --> 00:49:53,640
2271
+ ุฃุฎุฏุชู‡ุง point eight five ู…ุด ู‡ูŠุทู„ุน ุงู„ูุฑู‚ ุจุทู„ุน
2272
+
2273
+ 569
2274
+ 00:49:53,640 --> 00:49:57,380
2275
+ ุฃู‚ู„ ูˆุงุญุฏ point seventeen is not the closest answer
2276
+
2277
+ 570
2278
+ 00:49:57,380 --> 00:50:03,530
2279
+ this is equal one point nineteenุงู„ุฅุฌุงุจุฉ ุชุนุชู…ุฏ ุนู„ู‰
2280
+
2281
+ 571
2282
+ 00:50:03,530 --> 00:50:09,710
2283
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุตุญูŠุญุฉ ู„ุฌู…ุนู†ุง ูˆุงุถุญ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฅู†ู‡
2284
+
2285
+ 572
2286
+ 00:50:09,710 --> 00:50:17,510
2287
+ ู…ุงุนู†ุฏูŠุด ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ ู„ุฌู…ุนู†ุง ู„ุฃู†ู†ุง ู†ุจุญุซ ุนู† 0.80% ูˆ 0
2288
+
2289
+ 573
2290
+ 00:50:17,510 --> 00:50:22,430
2291
+ .7995 ู„ุฃู†
2292
+
2293
+ 574
2294
+ 00:50:22,430 --> 00:50:25,650
2295
+ ุงู„ุฌุฏูˆู„ ู„ุงูŠุนุทูŠู†ุง ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ ุตุญูŠุญุฉ ุทู„ุน ุงู„ูุฑู‚ ุจูŠู†ู‡ู…
2296
+
2297
+ 575
2298
+ 00:50:25,650 --> 00:50:30,170
2299
+ ูˆุงุญุฏ 1.35 ูˆุงู„ุซุงู†ูŠ 1.19 ูŠุนู†ูŠ ู„ูŠุณ ู†ุชูŠุฌุฉ ุตุญูŠุญุฉ
2300
+
2301
+ 576
2302
+ 00:50:34,330 --> 00:50:36,430
2303
+ ุฎู„ุงุต So that's all for today
2304
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/Q4WDKixbPT4.srt ADDED
@@ -0,0 +1,1670 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,410 --> 00:00:24,330
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… we will
4
+
5
+ 2
6
+ 00:00:24,330 --> 00:00:28,470
7
+ continue chapter 9 in this class we will talk
8
+
9
+ 3
10
+ 00:00:28,470 --> 00:00:32,150
11
+ about hypothesis test for the mean as we mentioned
12
+
13
+ 4
14
+ 00:00:32,150 --> 00:00:41,080
15
+ before there are two claims ุฃูˆ ุงุชุฌุงู‡ูŠู† ู„ู‡ุฐุง ุงู„ุญู„ู‚ู‡
16
+
17
+ 5
18
+ 00:00:41,080 --> 00:00:46,300
19
+ ุงู„ุฃูˆู„ ู‡ูˆ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชูŠุณ ู„ู„ู…ุชูˆุณุท ูˆุงู„ุชุงู†ูŠ ุฅู† ุดุงุก
20
+
21
+ 6
22
+ 00:00:46,300 --> 00:00:49,020
23
+ ุงู„ู„ู‡ ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู‡ูŠ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชูŠุณ ู„ู„ู…ุชูˆุณุท
24
+
25
+ 7
26
+ 00:00:49,020 --> 00:00:59,980
27
+ ูุณุฃุจุฏุฃ ุจุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชูŠุณ ู„ู„ู…ุชูˆุณุท
28
+
29
+ 8
30
+ 00:01:07,460 --> 00:01:11,620
31
+ ุงู„ุนู†ูˆุงู† ุงู„ู„ูŠ ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุฑูƒุฒ ุนู„ู‰ ู…ุนุฏู„ ุงู„ู…ุฌุชู…ุน ู„ุฃู†
32
+
33
+ 9
34
+ 00:01:11,620 --> 00:01:15,540
35
+ ู…ุนุฏู„ ุงู„ู…ุฌุชู…ุน ุนุงู…ู‹ุง ููŠ ุงู„ู…ุดูƒู„ุฉ ุงู„ุนู…ู„ูŠุฉ ุบูŠุฑ ู…ุนุฑูˆูุŒ
36
+
37
+ 10
38
+ 00:01:15,540 --> 00:01:20,360
39
+ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ุชุฌุฑุจุชู†ุง ูŠูƒูˆู† ุญูˆู„ ู…ุนุฏู„ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฐู„ูƒ
40
+
41
+ 11
42
+ 00:01:20,360 --> 00:01:26,720
43
+ ุชุฌุฑุจุฉ ุงู„ู…ุชุบูŠุฑุงุช ู„ู„ู€MU ุฏุงุฆู…ู‹ุง ู†ุญู† ู†ุฌุฑุจ ุนู† ุงู„ู…ุฌู‡ูˆู„ุงุชุŒ
44
+
45
+ 12
46
+ 00:01:26,720 --> 00:01:31,780
47
+ ุนู† ู‚ูŠู… ุบูŠุฑ ู…ุนุฑูˆูุฉ ุงู„ู…ุฌู‡ูˆู„ุงุช ุนุงุฏุฉ ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ู„ุฐุง
48
+
49
+ 13
50
+ 00:01:31,780 --> 00:01:36,020
51
+ ู†ุญู† ู†ุฌุฑุจ ุนู† ู‡ุฐู‡ ุงู„ู…ุฌู‡ูˆู„ุงุช ุบูŠุฑ ู…ุนุฑูˆูุฉุงู„ูŠูˆู… ุณุฃู‚ูˆู…
52
+
53
+ 14
54
+ 00:01:36,020 --> 00:01:39,480
55
+ ุจู…ู‚ุงุทุน ฮผ ูˆุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ู…ู‚ุงุทุนุฉ
56
+
57
+ 15
58
+ 00:01:39,480 --> 00:01:46,340
59
+ ูˆุงู„ู…ู‚ุงุฑู†ุฉ ูˆุงู„ุขู† ู„ู„ู…ู‚ุงุทุน ฮผ ู‡ู†ุงูƒ ุงุชุฌุงู‡ูŠู† ู…ู†
60
+
61
+ 16
62
+ 00:01:46,340 --> 00:01:52,080
63
+ ุณูŠุฌู…ุง ุฃูˆ ุณูŠุฌู…ุง ู…ุณุชุฎุฏู… ุฃุนู†ูŠ ุณูŠุฌู…ุง ู…ุนุฑูˆู ูˆุณูŠุฌู…ุง ุบูŠุฑ
64
+
65
+ 17
66
+ 00:01:52,080 --> 00:01:54,400
67
+ ู…ุนุฑูˆู ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃู‚ูˆู… ุจู…ู‚ุงุทุนุฉ ู…ุฌุฑุฏ ุณูŠุฌู…ุง
68
+
69
+ 18
70
+ 00:01:54,400 --> 00:02:00,000
71
+ ู…ุนุฑูˆู ูˆุณู†ุณุชุฎุฏู… ุงู„ุงุฎุชุตุงุฑ ุฒูŠ ุงู„ุฐูŠ ุฐูƒุฑู†ุงู‡ ููŠ ุชุดุงุจุชุฑ 3
72
+
73
+ 19
74
+ 00:02:00,000 --> 00:02:07,470
75
+ 6 ูˆ7 ุงู„ุขู† ุฏุนูˆู†ุง ู†ุจุฏุฃ ุฃูˆู„ ุฎุทูˆุฉ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุชุญูˆูŠู„
76
+
77
+ 20
78
+ 00:02:07,470 --> 00:02:14,030
79
+ ุณุงู…ุจู„ .. ุณุงู…ุจู„ ู…ูŠู† ู‡ูŠ X bar to Z score ุฃูˆ Z
80
+
81
+ 21
82
+ 00:02:14,030 --> 00:02:20,690
83
+ statistic ูˆู†ุนุฑู ุฃู† ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง X bar ู„ุชุญูˆูŠู„ X
84
+
85
+ 22
86
+ 00:02:20,690 --> 00:02:28,090
87
+ bar to Z ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… X barุŒ ู‚ูŠู…ุฉ ุณุงู…ุจู„ ู…ูŠู†
88
+
89
+ 23
90
+ 00:02:28,090 --> 00:02:37,020
91
+ ู†ุงู‚ุต ฮผ ูˆู‡ูŠ ฮผ ู…ุน ุณูŠุฌู…ุง ู…ู† X ุจุงุฑ ูˆู‡ูˆ ุณูŠุฌู…ุง ุนู„ู‰
92
+
93
+ 24
94
+ 00:02:37,020 --> 00:02:42,040
95
+ ุณู‚ูˆูŠุฑ ุฑูˆุช nุŒ ูู‡ุฐุง ู‡ูˆ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุฑูŠุจูŠุฉ ุงู„ุชูŠ
96
+
97
+ 25
98
+ 00:02:42,040 --> 00:02:49,880
99
+ ุงุณู…ู‡ุง ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุฑูŠุจูŠุฉุŒ ูƒูŠู
100
+
101
+ 26
102
+ 00:02:49,880 --> 00:02:54,760
103
+ ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุฑูŠุจูŠุฉ ุฃูƒุซุฑ ููŠ ุงู„ุญู„ู‚ุฉ
104
+
105
+ 27
106
+ 00:02:54,760 --> 00:02:58,930
107
+ ุงู„ุณุงุฏุณุฉุงู„ุฎุทูˆุฉ ุงู„ุชุงู„ูŠุฉ ู‡ูŠ ุฃู† ุชุฎุชุงุฑ ุงู„ูˆุถุน ู„ู€ x bar
108
+
109
+ 28
110
+ 00:02:58,930 --> 00:03:06,270
111
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
112
+
113
+ 29
114
+ 00:03:06,270 --> 00:03:06,730
115
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
116
+
117
+ 30
118
+ 00:03:06,730 --> 00:03:10,390
119
+ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ
120
+
121
+ 31
122
+ 00:03:10,390 --> 00:03:11,010
123
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
124
+
125
+ 32
126
+ 00:03:11,010 --> 00:03:11,070
127
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
128
+
129
+ 33
130
+ 00:03:11,070 --> 00:03:11,090
131
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
132
+
133
+ 34
134
+ 00:03:11,090 --> 00:03:12,350
135
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
136
+
137
+ 35
138
+ 00:03:12,350 --> 00:03:12,590
139
+ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ
140
+
141
+ 36
142
+ 00:03:12,590 --> 00:03:16,270
143
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุนุงุฏุฉู‹ ู‡ู†ุงูƒ
144
+
145
+ 37
146
+ 00:03:16,270 --> 00:03:20,570
147
+ ุงุชุฌุงู‡ูŠู† ุฃูˆู„ู‹ุง ุงุณู…ู‡ุง ุชุฌุงุฑุจ ู‚ูŠู… ู…ู‡ู…ุฉ ุชุฌุงุฑุจ
148
+
149
+ 38
150
+ 00:03:20,570 --> 00:03:22,890
151
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
152
+
153
+ 39
154
+ 00:03:22,890 --> 00:03:22,930
155
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
156
+
157
+ 40
158
+ 00:03:22,930 --> 00:03:22,950
159
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
160
+
161
+ 41
162
+ 00:03:22,950 --> 00:03:23,030
163
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
164
+
165
+ 42
166
+ 00:03:23,030 --> 00:03:23,230
167
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
168
+
169
+ 43
170
+ 00:03:41,900 --> 00:03:45,740
171
+ ู…ุฐูƒุฑุฉ ู‚ุฑูŠุจุฉ ู„ู€ Critical Value Approach ู‡ู†ุงูƒ ุซู„ุงุซุฉ
172
+
173
+ 44
174
+ 00:03:45,740 --> 00:03:51,840
175
+ ุญุงู„ุงุช ุชูˆ ุชูŠู„ุฏ ุชูˆ ุชูŠู„ุฏ
176
+
177
+ 45
178
+ 00:03:51,840 --> 00:03:58,240
179
+ ุชุณุช ุชูˆ ุชูŠู„ุฏ ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุชูƒู„ู… ุนู† ฮผ ู„ุง ูŠู…ูŠุฒ ู‚ูŠู…ุฉ
180
+
181
+ 46
182
+ 00:03:58,240 --> 00:04:04,660
183
+ ุชุงุฑูŠุฎูŠุฉ ุฃูˆ ู‚ูŠู…ุฉ ุชุฎูŠู‘ุฑ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู‚ูŠู…ุฉ ุชุฎูŠู‘ุฑ
184
+
185
+ 47
186
+ 00:04:04,660 --> 00:04:11,440
187
+ ู‡ุฐู‡ ุชุฎูŠู‘ุฑูŠุฉ ุชุณู…ู‰ ฮผ0 ฮผ0 ู…ุณุชุฎุฏู… ู‡ุฐุง ู…ุณุชุฎุฏู…
188
+
189
+ 48
190
+ 00:04:14,880 --> 00:04:19,500
191
+ ุงู„ุขู† ู„ู€ 2TL ู„ุฏูŠู†ุง ฮผ ู„ุง ูŠู‚ู„ ุนู† ฮผ0 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
192
+
193
+ 49
194
+ 00:04:19,500 --> 00:04:24,940
195
+ ู‡ู†ุงูƒ ุงุซู†ูŠู† ู‚ูŠู…ุงุช ู…ู‡ู…ุฉ ูˆุงุญุฏุฉ
196
+
197
+ 50
198
+ 00:04:24,940 --> 00:04:30,180
199
+ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุฃูŠู…ู† ูˆุงู„ุขุฎุฑ ุนู„ู‰ ุงู„ูŠุณุงุฑ
200
+
201
+ 51
202
+ 00:04:32,920 --> 00:04:35,120
203
+ ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูˆุงู†ูŠู† ู‡ูŠ ู†ูุณู‡ุงุŒ ุฃุนู†ูŠ ู„ุฏูŠู‡ุง ู‚ูŠู…ุฉ
204
+
205
+ 52
206
+ 00:04:35,120 --> 00:04:39,020
207
+ ู†ูุณู‡ุง ูˆู„ูƒู† ููŠ ุงู„ุงุชุฌุงู‡ ุงู„ุชุนุฑูŠูุŒ ู„ุฐู„ูƒ ูˆุงุญุฏ ู…ูˆุฌูˆุฏ
208
+
209
+ 53
210
+ 00:04:39,020 --> 00:04:43,140
211
+ ูˆุงู„ุขุฎุฑ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู†ู‚ู„ูŠุŒ ูุฅู†ู†ุง ู†ุนุชู‚ุฏ ุฃู† ฮฑ ุฃุนุทู‰
212
+
213
+ 54
214
+ 00:04:43,140 --> 00:04:49,960
215
+ ูˆ ฮฑ ุฅุฐุง ูƒู†ุช ุชุชุฐูƒุฑ ฮฑ ฮฑ ู‡ูˆ ู…ุฑุชูุน ู…ุฑุชูุน
216
+
217
+ 55
218
+ 00:04:52,340 --> 00:04:55,600
219
+ of significance and we mentioned last time alpha
220
+
221
+ 56
222
+ 00:04:55,600 --> 00:04:58,480
223
+ is a probability of type one error and we
224
+
225
+ 57
226
+ 00:04:58,480 --> 00:05:02,720
227
+ mentioned type one error is rejected H0 when it
228
+
229
+ 58
230
+ 00:05:02,720 --> 00:05:06,200
231
+ is true so alpha is a probability of type one
232
+
233
+ 59
234
+ 00:05:06,200 --> 00:05:09,680
235
+ error it means alpha probability of rejecting H0
236
+
237
+ 60
238
+ 00:05:09,680 --> 00:05:13,580
239
+ when in fact H0 is true ุฅุฐุง alpha ุนุจุงุฑุฉ ุนู† ู…ุณุชูˆู‰
240
+
241
+ 61
242
+ 00:05:13,580 --> 00:05:16,780
243
+ ุงู„ู…ุนู†ูˆูŠุฉ ูˆู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู†
244
+
245
+ 62
246
+ 00:05:16,780 --> 00:05:20,400
247
+ ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงุญุชู…ุงู„ ุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ
248
+
249
+ 63
250
+ 00:05:20,400 --> 00:05:28,850
251
+ ุตุญูŠุญุฉุงู„ุฃู„ู ูŠุชู… ุฅุนุทุงุคู‡ุง ุจุณุจุจ ุฃู†ู‡ุง ู…ุฑุชุจุทุฉ ู†ุญู† ู„ุฏูŠู†ุง
252
+
253
+ 64
254
+ 00:05:28,850 --> 00:05:32,450
255
+ ู…ุฑุชุจุทุงุช ุนุงู…ุฉ ู…ุฑุชุจุทุฉ ุญูˆู„ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ู„ุฐู„ูƒ ฮฑ ุฃูƒุซุฑ ู…ู†
256
+
257
+ 65
258
+ 00:05:32,450 --> 00:05:37,110
259
+ 2 ุฅู„ู‰ ุงู„ุฌุงู†ุจ ูˆ ุฃูŠุถู‹ุง ฮฑ ุฃูƒุซุฑ ู…ู† 2 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู†
260
+
261
+ 66
262
+ 00:05:37,110 --> 00:05:43,210
263
+ ู†ุบู… Z ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุงุก ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุงุก ู‡ูŠ
264
+
265
+ 67
266
+ 00:05:43,210 --> 00:05:50,810
267
+ ู…ู†ุทู‚ุฉ
268
+
269
+ 68
270
+ 00:05:50,810 --> 00:05:58,700
271
+ ุนุฏู… ู‚ุจูˆู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจุงู‚ูŠุฉ Z ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจุงู‚ูŠุฉ Z
272
+
273
+ 69
274
+ 00:05:58,700 --> 00:06:08,360
275
+ ู‡ุฐู‡ ุงู„ู…ู†ุงุทู‚ ุชุณู…ู‰ ุจู€ Rejection Regions ุฅุฐุง ูƒุงู†ุช
276
+
277
+ 70
278
+ 00:06:08,360 --> 00:06:13,380
279
+ ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2
280
+
281
+ 71
282
+ 00:06:13,380 --> 00:06:17,200
283
+ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน
284
+
285
+ 72
286
+ 00:06:17,200 --> 00:06:19,800
287
+ Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน Rejection
288
+
289
+ 73
290
+ 00:06:19,800 --> 00:06:21,900
291
+ Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง
292
+
293
+ 74
294
+ 00:06:21,900 --> 00:06:22,060
295
+ ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ
296
+
297
+ 75
298
+ 00:06:22,060 --> 00:06:22,220
299
+ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน
300
+
301
+ 76
302
+ 00:06:22,220 --> 00:06:30,540
303
+ Rejection Regionsู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ุฐุง a part b if ฮผ
304
+
305
+ 77
306
+ 00:06:30,540 --> 00:06:35,380
307
+ greater than ฮผ0 this is called one-tailed test I
308
+
309
+ 78
310
+ 00:06:35,380 --> 00:06:37,620
311
+ mean upper tail because we are talking about ฮผ
312
+
313
+ 79
314
+ 00:06:37,620 --> 00:06:41,700
315
+ greater than so ฮผ greater than it means the area
316
+
317
+ 80
318
+ 00:06:41,700 --> 00:06:49,900
319
+ to the right so this is just ฮฑ so
320
+
321
+ 81
322
+ 00:06:49,900 --> 00:06:53,700
323
+ this is the rejection regionูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฑูุถูŠุฉ
324
+
325
+ 82
326
+ 00:06:53,700 --> 00:06:59,180
327
+ ู…ุฌุฏุฏู‹ุง ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† Z ู‡ูŠ ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง
328
+
329
+ 83
330
+ 00:06:59,180 --> 00:07:00,440
331
+ ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง
332
+
333
+ 84
334
+ 00:07:00,440 --> 00:07:02,460
335
+ ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง
336
+
337
+ 85
338
+ 00:07:02,460 --> 00:07:03,680
339
+ ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง
340
+
341
+ 86
342
+ 00:07:03,680 --> 00:07:05,380
343
+ ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง
344
+
345
+ 87
346
+ 00:07:05,380 --> 00:07:05,440
347
+ ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง
348
+
349
+ 88
350
+ 00:07:05,440 --> 00:07:20,540
351
+ ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง ู…ุฌุฏุฏู‹ุง
352
+
353
+ 89
354
+ 00:07:24,400 --> 00:07:30,460
355
+ ู‡ุฐุง ู‡ูˆ ุงู„ุชุฌุงุฑุจ ุงู„ุฑุฆูŠุณูŠุฉ ู„ู„ู‚ูŠู… ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ู‡ุฐู‡
356
+
357
+ 90
358
+ 00:07:30,460 --> 00:07:38,140
359
+ ุงู„ู‚ูŠู… ุจุงุณุชุฎุฏุงู… ุงู„ุงุณุชุงู†ุฏุฑุฏ ุงู„ู‚ูŠู… ุงู„ู…ู‡ู…ุฉ ุจุงู„ู‚ูŠู… ู„ุฌู‡ุฉ
360
+
361
+ 91
362
+ 00:07:38,140 --> 00:07:43,080
363
+ ู…ุนุฑูˆูุฉ ู…ุซู„ู…ุง ุฐูƒุฑู†ุงู‡ุง ู‚ุจู„ ุจุงุณุชุฎุฏุงู… ูƒุชุงุจุฉ Z ุฃูˆ
364
+
365
+ 92
366
+ 00:07:43,080 --> 00:07:47,220
367
+ ุจุงุณุชุฎุฏุงู… ุตูุญุฉ ุงู„ูƒู…ุจูŠูˆุชุฑ ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู†ุณุชุฎุฏู… ูู‚ุท
368
+
369
+ 93
370
+ 00:07:47,220 --> 00:07:52,220
371
+ ุงู„ูƒุชุงุจุฉ ุงู„ุชุงู„ูŠุฉ ู‡ูŠ ุงู„ู…ูˆุถูˆุน ุงู„ู…ู‡ู… ุฌุฏู‹ุง ู‡ู†ุง ู‚ุฑุงุฑ
372
+
373
+ 94
374
+ 00:07:52,220 --> 00:07:59,480
375
+ ุงู„ุฎุทูˆุงุช ู‚ุฑุงุฑ
376
+
377
+ 95
378
+ 00:07:59,480 --> 00:08:04,590
379
+ ุงู„ุฎุทูˆุงุช ูƒูŠู ู†ู‚ุฑุฑ ุฃู† ู†ู‚ุฑุฑ ุฃูˆ ู„ุง ู†ู‚ุฑุฑ ุฅุฐุง ูƒุชุงุจุฉ
380
+
381
+ 96
382
+ 00:08:04,590 --> 00:08:09,390
383
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ
384
+
385
+ 97
386
+ 00:08:09,390 --> 00:08:12,490
387
+ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ูุฅู† ุงู„ุงุฎุชุจุงุฑ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ู‚ุทุฉ
388
+
389
+ 98
390
+ 00:08:12,490 --> 00:08:18,250
391
+ ุตูุฑ ุจุนุฏ ุฃู† ุชู‚ูˆู… ุจุชู†ุจูŠู‡ ู‡ุฐู‡ ุงู„ูƒุชุงุจุฉ ุงู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง Z
392
+
393
+ 99
394
+ 00:08:18,250 --> 00:08:21,110
395
+ ูู‡ูˆ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุŸ ุฅุฐุง ูƒุชุงุจุฉ
396
+
397
+ 100
398
+ 00:08:21,110 --> 00:08:21,750
399
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุง ูƒุชุงุจุฉ
400
+
401
+ 101
402
+ 00:08:21,750 --> 00:08:26,150
403
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุง ูƒุชุงุจุฉ
404
+
405
+ 102
406
+ 00:08:26,150 --> 00:08:36,260
407
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ in the rejection region then
408
+
409
+ 103
410
+ 00:08:36,260 --> 00:08:43,740
411
+ we reject H0 otherwise we don't reject or we fail
412
+
413
+ 104
414
+ 00:08:43,740 --> 00:08:51,500
415
+ to reject H0 ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุณู‡ู„ ุจุญุณุจ ุงู„ Z statistic ู…ู†
416
+
417
+ 105
418
+ 00:08:51,500 --> 00:08:56,840
419
+ chapter 7 ุจุญุณุจ ุงู„ critical values ู‡ุฏูˆู„ ูˆุจุญุฏุฏ ุงู„
420
+
421
+ 106
422
+ 00:08:56,840 --> 00:09:03,110
423
+ regions ู…ู† chapter ูˆูŠู†ุŸ chapter 6 ู…ุด ุจุณุชุฎุฏู… ุงู„ุณุชุฉ
424
+
425
+ 107
426
+ 00:09:03,110 --> 00:09:06,650
427
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุงู„ุช ุณุจุนุฉ ุฃูˆ ุณุชุฉ chapter ุชุณุนุฉ ุจุณ ุญูƒู‰
428
+
429
+ 108
430
+ 00:09:06,650 --> 00:09:09,910
431
+ ู…ุนู„ูˆู…ุงุช ุฒูŠุงุฏุฉ ุฌุฏูŠุฏุฉ ุงู„ decision rule ุจูŠุญูƒูŠ ุฅุฐุง
432
+
433
+ 109
434
+ 00:09:09,910 --> 00:09:13,370
435
+ ูƒุงู†ุช ุฒูŠ ุงู„ statistic falls in the rejection region
436
+
437
+ 110
438
+ 00:09:13,370 --> 00:09:15,570
439
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„ู‰ ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูˆ ุฃู‚ู„ ู…ู†
440
+
441
+ 111
442
+ 00:09:15,570 --> 00:09:19,430
443
+ ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ then reject ุฅุฐุง ูƒุงู†ุช upper tail ุฅุฐุง
444
+
445
+ 112
446
+ 00:09:19,430 --> 00:09:24,310
447
+ ูƒุงู†ุช ู‡ู†ุง ูŠุนู†ูŠ ุฒูŠ ุฃูƒุจุฑ ุฅุฐุง ูƒุงู†ุช lower tail ุชูƒูˆู†
448
+
449
+ 113
450
+ 00:09:24,310 --> 00:09:27,330
451
+ ุฃุตุบุฑ then in this case we reject otherwise we
452
+
453
+ 114
454
+ 00:09:27,330 --> 00:09:32,170
455
+ don't rejectุฎุตูˆุตู‹ุงุŒ ู‡ู†ุงูƒ ุณุช ุฎุทูˆุงุช ููŠ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
456
+
457
+ 115
458
+ 00:09:32,170 --> 00:09:39,870
459
+ ุงู„ูุฑุถูŠุฉ ููŠ ุณุช ุฎุทูˆุงุช ู„ู„ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
460
+
461
+ 116
462
+ 00:09:39,870 --> 00:09:41,410
463
+ ุงู„ูุฑุถูŠุฉ ุงู„ุญูŠูˆุงู†ูŠ ุฃู…ุดูŠ ุนู„ูŠู‡ู… ูˆุงุญุฏ ุนู„ู‰ ูˆุงุญุฏ
464
+
465
+ 117
466
+ 00:09:41,410 --> 00:09:46,830
467
+ ุงู„ุฃูˆู„ ู‡ูˆ ุงู„ู€ null and alternative hypothesis ุฃูƒุชุจ
468
+
469
+ 118
470
+ 00:09:46,830 --> 00:09:52,930
471
+ H0 ูˆH1 ุทุจุนู‹ุง ุจูŠูƒุชุจูˆุง ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ู…ุซุงู„ ู†ูุณู‡ุงุŒ ุฅู…ุง ู‡ู…
472
+
473
+ 119
474
+ 00:09:52,930 --> 00:09:59,580
475
+ ู…ุนุฑูˆููŠู† ู…ุจุงุดุฑุฉ ุฃูˆ ูŠุฌุจ ุฃู† ุชูุชุญ ูƒูŠููŠุฉ ุชุฎุทูŠุท ุงู„ู€ null
476
+
477
+ 120
478
+ 00:09:59,580 --> 00:10:03,300
479
+ and alternative hypothesis ุจุงุณุชุฎุฏุงู… ุงู„ู…ุดูƒู„ุฉ ู†ูุณู‡ุง
480
+
481
+ 121
482
+ 00:10:03,300 --> 00:10:06,580
483
+ ูŠุง ุฅู…ุง ู…ู† ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุจุชุงุนุชูƒูŠ ู…ู† ุฌุงู‡ุฒูŠู† ุฃูˆ ุฃู†ุช
484
+
485
+ 122
486
+ 00:10:06,580 --> 00:10:13,380
487
+ ู„ุญุงู„ูƒ ุจุฏูƒ ุชุนุฑููŠ ูƒูŠู ุงูƒุชุจู‡ุง ู…ู† ุฎู„ุงู„ ุตูŠุบุฉ ุงู„ู…ุซุงู„ ุฅุฐุง
488
+
489
+ 123
490
+ 00:10:13,380 --> 00:10:18,220
491
+ ูˆุงุญุฏ ู…ู‡ู…ุฉ number two choose the level of
492
+
493
+ 124
494
+ 00:10:18,220 --> 00:10:23,640
495
+ significance alpha ุทุจุนู‹ุง ุงู„ alpha is given usually
496
+
497
+ 125
498
+ 00:10:25,450 --> 00:10:29,710
499
+ ู†ุณุชุฎุฏู… ุฃู„ูุฉ ู„ุชูƒูˆู† 5% ูˆุฅู„ุง ูุงู„ุฃู„ู ุณุชูƒูˆู† ู…ุณุชุฎุฏู…ุฉ
500
+
501
+ 126
502
+ 00:10:29,710 --> 00:10:35,090
503
+ ุฅุฐุง ู„ู… ูŠูƒู† ุฃู„ูุฉ ู…ุณุชุฎุฏู…ุฉ ูุงุณุชุฎุฏู… ูู‚ุท ุฃู„ูุฉ 5% ูŠุนู†ูŠ
504
+
505
+ 127
506
+ 00:10:35,090 --> 00:10:39,690
507
+ ู„ูˆ ุฃู„ูุฉ ู…ุด ู…ุนุทุงุฉ ูˆู…ุนุทู‰ ููŠ ุงู„ู…ุซุงู„ ุจุณุชุฎุฏู… ุฎู…ุณุฉ ููŠ
508
+
509
+ 128
510
+ 00:10:39,690 --> 00:10:46,770
511
+ ุงู„ู…ูŠุฉ ู„ูƒู† ู„ูˆ ุฃุนุทุงู†ูŠ 3 2 1 ุจุณุชุฎุฏู…ู‡ู… ุฅุฐุง
512
+
513
+ 129
514
+ 00:10:46,770 --> 00:10:52,150
515
+ ู†ุฎุชุงุฑ ู…ุฑุชูุน ุฃู„ูุฉ ูˆู…ุนุฏู„ ุงู„ุนูŠู†ุฉ N ุทุจุนู‹ุง ุงู„ N ู…ุณุชุฎุฏู…
516
+
517
+ 130
518
+ 00:10:52,150 --> 00:10:54,030
519
+ ู„ู…ุนุฏู„ ุงู„ุนูŠู†ุฉ
520
+
521
+ 131
522
+ 00:10:57,730 --> 00:11:00,610
523
+ determine the appropriate test statistic and
524
+
525
+ 132
526
+ 00:11:00,610 --> 00:11:03,730
527
+ sampling distribution ู…ู‡ู… ุฌุฏู‹ุง ุจุชุนุฑู ู…ู† ุงู„ test
528
+
529
+ 133
530
+ 00:11:03,730 --> 00:11:07,150
531
+ statistic the appropriate one if sigma is known
532
+
533
+ 134
534
+ 00:11:07,150 --> 00:11:11,530
535
+ today we are talking about sigma is given so my z
536
+
537
+ 135
538
+ 00:11:11,530 --> 00:11:15,110
539
+ statistic is this one my test statistic is this
540
+
541
+ 136
542
+ 00:11:15,110 --> 00:11:19,510
543
+ one ุฅุฐุง ู‡ู†ุง ู‡ุฐู‡ ุงู„ู…ู‡ู…ุฉ ุจุชุญุฏุฏ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ู†ุงุณุจ ุงู„ู„ูŠ
544
+
545
+ 137
546
+ 00:11:19,510 --> 00:11:22,570
547
+ ู‡ูˆ ุงู„ appropriate test statistic in this case we
548
+
549
+ 138
550
+ 00:11:22,570 --> 00:11:25,850
551
+ have only one test so far ู…ุง ุนู†ุฏู†ุงุด ุงู„ุงุฎุชุจุงุฑ ูˆุงุญุฏ ุญุชู‰
552
+
553
+ 139
554
+ 00:11:25,850 --> 00:11:29,700
555
+ ู„ุฃู† ุดุงูŠููŠู†ู‡ูˆ Z-test ู„ูƒู† ู„ู‚ุงุก ุงู„ุฌุงูŠ .. ู„ู‚ุงุก ุงู„ุฌุงูŠ
556
+
557
+ 140
558
+ 00:11:29,700 --> 00:11:33,720
559
+ ู‡ูŠูƒูˆู† ููŠู‡ test ุฌุฏูŠุฏ ู„ู…ุง ู†ุฏุฎู„ ุนู„ู‰ chapter 10 ู‡ูŠูƒูˆู†
560
+
561
+ 141
562
+ 00:11:33,720 --> 00:11:38,220
563
+ test ุฌุฏูŠุฏุฉ ุจุชุงุน ู‡ุงุฎุฏุฑ ู…ู†ู‡ู… ู„ุงุฎุชุจุงุฑ ุงู„ู…ู†ุงุณุจ ู„ูƒู†
564
+
565
+ 142
566
+ 00:11:38,220 --> 00:11:42,740
567
+ ุจู†ุณุฃู„ ู„ู‚ุงุก ุงู„ูŠูˆู… ู…ุง ููŠุด ุฅู„ุง test ูˆุงุญุฏ ุทุงู„ู…ุง ุฃุชูƒู„ู…
568
+
569
+ 143
570
+ 00:11:42,740 --> 00:11:46,620
571
+ ู…ุน ุนู„ู…ูŠู† ูˆ ุงู„ sigma is unknown ุจุณุชุฎุฏู… ุงู„ Z
572
+
573
+ 144
574
+ 00:11:46,620 --> 00:11:53,720
575
+ statistic ุฑู‚ู… ุฃุฑุจุนุฉ determine the critical values
576
+
577
+ 145
578
+ 00:11:53,720 --> 00:11:59,530
579
+ ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„ ุญูƒูŠู†ุง ุนู†ู‡ุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุฑุฉ that
580
+
581
+ 146
582
+ 00:11:59,530 --> 00:12:01,790
583
+ divide the rejection and non rejection regions
584
+
585
+ 147
586
+ 00:12:01,790 --> 00:12:06,470
587
+ ุงู„ู„ูŠ ู‡ูŠ ุจุชู‚ุณู… ู„ู…ู†ุทู‚ุชูŠู† ู‡ูŠ normal curve underneath
588
+
589
+ 148
590
+ 00:12:06,470 --> 00:12:12,090
591
+ the curve z critical values split the curve into
592
+
593
+ 149
594
+ 00:12:12,090 --> 00:12:16,250
595
+ two regions one is called non rejection and other
596
+
597
+ 150
598
+ 00:12:16,250 --> 00:12:19,610
599
+ rejection regions for two TL there are two
600
+
601
+ 151
602
+ 00:12:19,610 --> 00:12:22,490
603
+ rejection regions to the right and to the left for
604
+
605
+ 152
606
+ 00:12:22,490 --> 00:12:26,190
607
+ upper tail there is only one to the right and same
608
+
609
+ 153
610
+ 00:12:26,190 --> 00:12:29,390
611
+ for left tail there is only one to the left ุฅุฐุง ููŠ
612
+
613
+ 154
614
+ 00:12:29,390 --> 00:12:33,970
615
+ ุนู†ุฏูƒ ู…ู†ุทู‚ุชูŠู† ููŠ ุงู„ two-tailed ูˆู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู† ููŠ ุงู„
616
+
617
+ 155
618
+ 00:12:33,970 --> 00:12:38,450
619
+ upper ูˆู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ุดู…ุงู„ ููŠ ุงู„ lower ุฅุฐุง ุญุฏุฏุช ุงู„
620
+
621
+ 156
622
+ 00:12:38,450 --> 00:12:43,210
623
+ critical values number five collect data and
624
+
625
+ 157
626
+ 00:12:43,210 --> 00:12:47,590
627
+ compute the value of the statistic ุงุญุณุจ ุงุฌู…ุน ุงู„
628
+
629
+ 158
630
+ 00:12:47,590 --> 00:12:51,560
631
+ data ุทุจุนู‹ุง ุงู„ data ู‡ุชูƒูˆู† ุนู†ุฏ ุงู„ given ุจุณ ู‡ุญุณุจ ุงู„
632
+
633
+ 159
634
+ 00:12:51,560 --> 00:12:56,300
635
+ test ุงู„ statistic ู…ุน ูƒุฏู‡ we can merge five ู…ู…ูƒู†
636
+
637
+ 160
638
+ 00:12:56,300 --> 00:13:01,480
639
+ ุฃุฏู…ุฌ ุฎู…ุณุฉ ู…ุน ุซู„ุงุซุฉ ู„ูˆ ุซู„ุงุซุฉ ุจูŠุญูƒูŠ determined
640
+
641
+ 161
642
+ 00:13:01,480 --> 00:13:07,100
643
+ appropriate statistic ุจุญุฏุฏู‡ ู‡ูŠ ูˆุจุญุณุจู‡ ู„ุฐู„ูƒ ุซู„ุงุซุฉ
644
+
645
+ 162
646
+ 00:13:07,100 --> 00:13:11,500
647
+ ุฃูˆ ุฎู…ุณุฉ ุฃุถูŠูู‡ู… ุฃูˆ ุฃุฏู…ุฌู‡ู… ู…ุน ุจุนุถ ุฑู‚ู… ุณุชุฉ ู…ู‡ู…ุฉ ู„ูŠุง
648
+
649
+ 163
650
+ 00:13:11,500 --> 00:13:14,900
651
+ make the statistical decision and state the
652
+
653
+ 164
654
+ 00:13:14,900 --> 00:13:18,660
655
+ managerial conclusion ู…ู‡ู… ุดุบู„ุชูŠู† ู„ุฃู† ููŠ ุนู†ุฏูŠ ุฃุนุทูŠ
656
+
657
+ 165
658
+ 00:13:18,660 --> 00:13:25,170
659
+ ุงู„ู‚ุฑุงุฑ ุงู„ุฅุญุตุงุฆูŠ ุงู„ statistical decision ุจุนุฏูŠู† ุฃูƒุชุจ
660
+
661
+ 166
662
+ 00:13:25,170 --> 00:13:29,270
663
+ conclusion ู†ุณู…ูŠู‡ managerial conclusion ุงู„ู‚ุฑุงุฑ
664
+
665
+ 167
666
+ 00:13:29,270 --> 00:13:33,230
667
+ ูƒุงู„ุขุชูŠ if the test statistics falls in the
668
+
669
+ 168
670
+ 00:13:33,230 --> 00:13:36,750
671
+ rejection region then we reject otherwise we don't
672
+
673
+ 169
674
+ 00:13:36,750 --> 00:13:40,110
675
+ ุฅุฐุง if the test falls into the non rejection
676
+
677
+ 170
678
+ 00:13:40,110 --> 00:13:43,610
679
+ region we don't reject on the hypothesis ูŠุนู†ูŠ ุฅุฐุง
680
+
681
+ 171
682
+ 00:13:43,610 --> 00:13:48,690
683
+ ูˆู‚ุน ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุจูŠุถุงุก ู†ุญู† ู„ุง ู†ุฑูุถ ุฅุฐุง ูˆู‚ุน ููŠ
684
+
685
+ 172
686
+ 00:13:48,690 --> 00:13:51,450
687
+ ุงู„ู€ .. to the right ุฃูˆ to the left it depends ู†ุญู†
688
+
689
+ 173
690
+ 00:13:51,450 --> 00:13:55,650
691
+ ู†ุชูุฑุฌ ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชุชุณู„ู‚ ุฅู„ู‰ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฑูุถูŠุฉ
692
+
693
+ 174
694
+ 00:13:55,650 --> 00:14:00,530
695
+ ู†ุชูุฑุฌ ู…ู† ุงู„ู€ null hypothesis ู‡ุฐุง ุงู„ู‚ุฑุงุฑ ุจุนุฏูŠู†
696
+
697
+ 175
698
+ 00:14:00,530 --> 00:14:03,410
699
+ express the managerial conclusion in the context
700
+
701
+ 176
702
+ 00:14:03,410 --> 00:14:08,210
703
+ of the problem ุชุจู‚ู‰ ููŠ ุณูŠุงู‚ ุงู„ู…ุซุงู„ ุฅุฐุง ู‡ูŠ six
704
+
705
+ 177
706
+ 00:14:08,210 --> 00:14:11,590
707
+ steps ู…ู† ุงู„ุฃูˆู„ state null and alternative
708
+
709
+ 178
710
+ 00:14:11,590 --> 00:14:15,660
711
+ hypothesis this must be given ุฃูˆ ูŠุฌุจ ุฃู† ุชุชุนุฑู ุนู„ู‰
712
+
713
+ 179
714
+ 00:14:15,660 --> 00:14:20,140
715
+ ูƒูŠููŠุฉ ุงุฎุชูŠุงุฑ ุงู„ู€ null ุจุงุณุชุฎุฏุงู… ู…ุดูƒู„ุฉ ุงู„ูƒู„ุงู… ุงุฎุชุฑ
716
+
717
+ 180
718
+ 00:14:20,140 --> 00:14:24,500
719
+ ฮฑ ฮฑ ุงู„ุนุงุฏู„ ู‡ูˆ 5% ุฅู„ุง ุฃู†ู†ูŠ ุณุฃุฐูƒุฑ ููŠ ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง
720
+
721
+ 181
722
+ 00:14:24,500 --> 00:14:31,920
723
+ ู„ู… ูŠูƒู† ฮฑ 5% ุญุฌู… ุงู„ุนูŠู†ุฉ ุณูŠุชู… ุฅุนุทุงุคู‡ุง ุชุญุฑูŠุฑ
724
+
725
+ 182
726
+ 00:14:31,920 --> 00:14:36,320
727
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ู†ุงุณุจ ู„ู„ูˆุถุน ุงู„ู„ูŠ ู„ุฏูŠู†ุง ุฅุฐุง ูƒู†ุง
728
+
729
+ 183
730
+ 00:14:36,320 --> 00:14:42,120
731
+ ู†ุชูƒู„ู… ุนู†
732
+
733
+ 216
734
+ 00:17:31,820 --> 00:17:35,780
735
+ ุฃู† ูŠูƒูˆู† ู…ุณุชุฎุฏู…ูˆ ุงู„ู€ Alpha ุฃูŠุถู‹ุง ู…ูุนุทู‹ู‰ุŒ ูุงุนุชุจุงุฑ ุฃู†
736
+
737
+ 217
738
+ 00:17:35,780 --> 00:17:40,400
739
+ ุงู„ู€ Alpha ู‡ูˆ 5% ูˆ N ู‡ูˆ 100 ู…ูุนุทู‹ู‰ุŒ ูู‡ูˆ ู…ูุฎุชุงุฑ ู„ู‡ุฐุง
740
+
741
+ 218
742
+ 00:17:40,400 --> 00:17:47,280
743
+ ุงู„ุงุฎุชุจุงุฑุŸ ู‡ู„ ู‡ุคู„ุงุก ุงู„ุฎู…ุณูŠู† ู…ู†ู‡ู… ู…ูุนุทู‹ู‰ุŸ ุฑู‚ู… ุซุงู„ุซุŒ
744
+
745
+ 219
746
+ 00:17:47,280 --> 00:17:54,060
747
+ ู‚ุฑุฑ ุงู„ุชู‚ู†ูŠุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู‡ุฐุง ููŠ ุงู„ู‡ูŠุฆุฉ ุงู„ุฃู‡ู…ูŠุฉุŒ ู…ุง ู‡ูŠ
748
+
749
+ 220
750
+ 00:17:54,060 --> 00:18:01,280
751
+ ุงู„ุชู‚ู†ูŠุฉ ุงู„ู…ู†ุงุณุจุฉุŸ ุณูŠุฌู…ุง ู…ุนู„ูˆู…ุฉุŒ ุณูŠุฌู…ุง ู…ุนู„ูˆู…ุฉ ู‡ูŠ 0
752
+
753
+ 221
754
+ 00:18:01,280 --> 00:18:09,830
755
+ .8 ู…ุน ูƒุฏู‡ ู‡ุณุชุฎุฏู… Z statistic sigma is known ุฃุนุทุงู†ูŠ 0
756
+
757
+ 222
758
+ 00:18:09,830 --> 00:18:17,790
759
+ .8 ุฅุฐุง ุจุณุชุฎุฏู… Z step step four determine the
760
+
761
+ 223
762
+ 00:18:17,790 --> 00:18:22,110
763
+ critical values in this problem alpha is five
764
+
765
+ 224
766
+ 00:18:22,110 --> 00:18:25,010
767
+ percent so the area to the right is 0.05
768
+
769
+ 225
770
+ 00:18:25,010 --> 00:18:31,760
771
+ to the left same ู„ุขุฎุฑ ู…ุฑุฉ ู†ุฌุฏ ุฃู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‡ูŠ 1.96
772
+
773
+ 226
774
+ 00:18:31,760 --> 00:18:37,480
775
+ ูˆ-1.96 ู„ุฐู„ูƒ
776
+
777
+ 227
778
+ 00:18:37,480 --> 00:18:44,820
779
+ ุงู„ู‚ูŠู…ุฉ ุงู„ูƒุฑููŠุชููŠุฉ Z ูƒุฑููŠุชููŠุฉ ุฃูˆ
780
+
781
+ 228
782
+ 00:18:44,820 --> 00:18:50,640
783
+ ู†ุณุชุฎุฏู…ู‡ุง ูู‚ุท Z* ูู‚ุท ู„ูƒูŠ ู†ุนุฑู ุจูŠู† ุงู„ู‚ูŠู…ุฉ Z ูƒุฑููŠุชููŠุฉ
784
+
785
+ 229
786
+ 00:18:50,640 --> 00:18:57,770
787
+ ูˆู‚ูŠู…ุฉ ุงุฎุชุจุงุฑ ูู‚ุท ู†ุณุชุฎุฏู… ู†ุชุงุฆุฌ ู…ุฎุชู„ูุฉ ู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ
788
+
789
+ 230
790
+ 00:18:57,770 --> 00:19:01,090
791
+ Z statistic ูˆ ุงู„ critical ุนุงู…ู„ุฉ Z star ูˆ Z
792
+
793
+ 231
794
+ 00:19:01,090 --> 00:19:04,350
795
+ critical ุฅุฐุง ูƒุงู† ู„ุฏูŠูƒ ู‚ูŠู…ุฉ ู…ุญุณูˆุจุฉ ู„ู„ุงุฎุชุจุงุฑ ูˆู‚ูŠู…ุฉ
796
+
797
+ 232
798
+ 00:19:04,350 --> 00:19:11,610
799
+ ู…ุทู„ุนุฉ ู…ู† ุงู„ุฌุฏูˆู„ add equal plus or minus 1.96 step
800
+
801
+ 233
802
+ 00:19:11,610 --> 00:19:15,350
803
+ 5 collect data and compute that statistic for this
804
+
805
+ 234
806
+ 00:19:15,350 --> 00:19:20,010
807
+ problem as we mentioned N is a hundred X bar
808
+
809
+ 235
810
+ 00:19:20,010 --> 00:19:27,220
811
+ suppose 29.84 ุงู„ู€ Sigma ู‡ูˆ 0.8 ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ุงู„ู‡ู…
812
+
813
+ 236
814
+ 00:19:27,220 --> 00:19:33,000
815
+ ู…ูุนุฑูˆูุฉ ู…ุนุฑูˆูุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
816
+
817
+ 237
818
+ 00:19:33,000 --> 00:19:35,040
819
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
820
+
821
+ 238
822
+ 00:19:35,040 --> 00:19:35,420
823
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
824
+
825
+ 239
826
+ 00:19:35,420 --> 00:19:39,080
827
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
828
+
829
+ 240
830
+ 00:19:39,080 --> 00:19:51,040
831
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆ
832
+
833
+ 241
834
+ 00:19:54,210 --> 00:19:58,430
835
+ Equal X bar minus Mu over Sigma over square root
836
+
837
+ 242
838
+ 00:19:58,430 --> 00:20:02,070
839
+ of N Straight
840
+
841
+ 243
842
+ 00:20:02,070 --> 00:20:06,130
843
+ forward computations will give the value of this
844
+
845
+ 244
846
+ 00:20:06,130 --> 00:20:15,710
847
+ state X bar is 29.84 minus Mu this Mu is given Mu
848
+
849
+ 245
850
+ 00:20:15,710 --> 00:20:21,790
851
+ is 30 over
852
+
853
+ 246
854
+ 00:20:21,790 --> 00:20:23,090
855
+ Sigma 0.8
856
+
857
+ 247
858
+ 00:20:26,190 --> 00:20:36,810
859
+ ูˆู‡ุฐุง ุณูŠุนุทูŠ ุฃู‚ู„ ู…ู† 2 ู‡ุฐุง ู‡ูˆ Z-Stat ูู‚ูŠู…ุฉ
860
+
861
+ 248
862
+ 00:20:36,810 --> 00:20:46,370
863
+ Z-Stat ู‡ูŠ ุฃู‚ู„ ู…ู† 2 ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ
864
+
865
+ 249
866
+ 00:20:46,370 --> 00:20:52,290
867
+ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ู‘ุตุŸ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ู‘ุต ุงู„ุชูŠ ู‚ู…ู†ุง
868
+
869
+ 250
870
+ 00:20:52,290 --> 00:21:01,740
871
+ ุจุชุฎู„ู‘ุตู‡ุง ุจุงุณุชุฎุฏุงู… ู‚ูŠู…ุฉ ูƒุฑููŠุชููŠุฉ ู…ู‚ุงุฑู†ุฉ ู…ู† 1.96 ุฃูˆ ุฃู‚ู„ ู…ู†
872
+
873
+ 251
874
+ 00:21:01,740 --> 00:21:08,900
875
+ ู†ู‚ู„ 1.96 ุฃุนู†ูŠ ุฃู†ู†ุง ู†ู†ุฌุญ ุฅุฐุง ู‚ูŠู…ุฉ ุฒูŠ ู…ูˆุฌูˆุฏุฉ ููŠ
876
+
877
+ 252
878
+ 00:21:08,900 --> 00:21:12,560
879
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑ ุงู„ุขู† ู‡ู„
880
+
881
+ 253
882
+ 00:21:12,560 --> 00:21:15,520
883
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ูŠุณุงุฑ ุฃูˆ ุงู„ูŠุณุงุฑุŸ ููŠ ุงู„ุฌุงู†ุจ
884
+
885
+ 254
886
+ 00:21:15,520 --> 00:21:20,160
887
+ ุงู„ูŠุณุงุฑ ู„ุฐุง ู†ู†ุฌุญ ู„ุฐุง ู†ู†ุฌุญ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅุฐุง ู…ู‚ุงุฑู†ุฉ ุฒูŠ
888
+
889
+ 255
890
+ 00:21:20,160 --> 00:21:22,140
891
+ 1.96 ุฃูˆ
892
+
893
+ 256
894
+ 00:21:26,780 --> 00:21:34,700
895
+ ุฃูƒุจุฑ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
896
+
897
+ 257
898
+ 00:21:34,700 --> 00:21:35,540
899
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
900
+
901
+ 258
902
+ 00:21:35,540 --> 00:21:36,860
903
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
904
+
905
+ 259
906
+ 00:21:36,860 --> 00:21:39,500
907
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
908
+
909
+ 260
910
+ 00:21:39,500 --> 00:21:44,320
911
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
912
+
913
+ 261
914
+ 00:21:44,320 --> 00:21:49,280
915
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
916
+
917
+ 262
918
+ 00:21:49,280 --> 00:21:58,830
919
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ูˆุงุถุญ ุงู„ู†ู‚ุต ุงุซู†ูŠู† ุฃุตู„ุงู‹ ู…ู† ุณู†ุฉ ูˆุงุญุฏุฉ
920
+
921
+ 263
922
+ 00:21:58,830 --> 00:22:03,350
923
+ ุชุณุนุฉ ุซู…ุงู†ูŠุฉ ู…ุง ูƒุฏู‡ ูˆ ูŠ reject ุฅุฐุง ุงู„ decision rule
924
+
925
+ 264
926
+ 00:22:03,350 --> 00:22:10,130
927
+ ุจูŠุญูƒูŠ ููŠ ุงู„ุญุงู„ุฉ the rejected null hypothesis since
928
+
929
+ 265
930
+ 00:22:10,130 --> 00:22:12,730
931
+ z statistic equals minus two which is less than
932
+
933
+ 266
934
+ 00:22:12,730 --> 00:22:16,170
935
+ negative one point nine six then my decision is
936
+
937
+ 267
938
+ 00:22:16,170 --> 00:22:19,950
939
+ rejected null hypothesis now you have to state
940
+
941
+ 268
942
+ 00:22:19,950 --> 00:22:24,190
943
+ also the managerial conclusion ูˆุชู‚ุฑูŠุฑ ุชุจุนู‡ and
944
+
945
+ 269
946
+ 00:22:24,190 --> 00:22:29,050
947
+ conclude that there is sufficient evidence that
948
+
949
+ 270
950
+ 00:22:29,050 --> 00:22:31,690
951
+ the mean diameter of a manufactured bolt is not
952
+
953
+ 271
954
+ 00:22:31,690 --> 00:22:37,370
955
+ equal to 30 ุฅูŠุด ูŠุนู†ูŠ sufficient evidence evidence
956
+
957
+ 272
958
+ 00:22:37,370 --> 00:22:43,170
959
+ ุฏู„ูŠู„ ูƒุงููŠ ูŠุนู†ูŠ ููŠ ุฏู„ูŠู„ ูƒุงููŠ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุฃู† ุงู„ mean
960
+
961
+ 273
962
+ 00:22:43,170 --> 00:22:47,410
963
+ is not 30 ุฅุฐุง ููŠ ุงู„ุขุฎุฑ ุทู„ุน ู…ุนูŠ ุงู„ู‚ุฑุงุฑ ุฃู† we
964
+
965
+ 274
966
+ 00:22:47,410 --> 00:22:53,850
967
+ support ุงู„ู‚ูŠู…ุฉ ู„ูŠุณุช ุฃู‚ู„ ู…ู† 30 ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ ู†ู‚ู„
968
+
969
+ 275
970
+ 00:22:53,850 --> 00:22:58,430
971
+ ุงู„ูุฑุถูŠุฉ ุงู„ุจุฏูŠู„ุฉ ูˆู†ุฎุชู… ุฃู† ู‡ู†ุงูƒ ูˆุซูŠู‚ุฉ ูƒุงููŠุฉ ู„ุฃู†
972
+
973
+ 276
974
+ 00:22:58,430 --> 00:23:00,670
975
+ ู‚ูŠู…ุฉ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
976
+
977
+ 277
978
+ 00:23:00,670 --> 00:23:01,890
979
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
980
+
981
+ 278
982
+ 00:23:01,890 --> 00:23:02,990
983
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
984
+
985
+ 279
986
+ 00:23:02,990 --> 00:23:03,170
987
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
988
+
989
+ 280
990
+ 00:23:03,170 --> 00:23:06,970
991
+ ู…ุตุฏุฑ
992
+
993
+ 281
994
+ 00:23:06,970 --> 00:23:14,050
995
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุต
996
+
997
+ 282
998
+ 00:23:15,610 --> 00:23:18,850
999
+ ู„ูˆ ุจุฏูŠ ุฃุฎู…ู† ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ ู…ู† 30ุŸ ู„ูˆ ุจุฏูŠ ุฃุญู„ูŠ ู…ุซู„ุงู‹
1000
+
1001
+ 283
1002
+ 00:23:18,850 --> 00:23:22,930
1003
+ one-tailed ุฅูŠุด ู‡ูŠุชุบูŠุฑ ู…ุนุงู‡ุŸ ู„ูˆ ุจุฏูŠ ุฃุบูŠุฑ ุงู„ู…ุซู„ุฉ
1004
+
1005
+ 284
1006
+ 00:23:22,930 --> 00:23:28,790
1007
+ ูƒู„ู‡ุง ู‡ูŠูƒ ูˆุจุฏูŠ ุฃุนุชุจุฑ ุฃุฎุฏ one-tailed ุฃุฎุฏูˆุง right ูˆู„ุง
1008
+
1009
+ 285
1010
+ 00:23:28,790 --> 00:23:36,270
1011
+ leftุŸ ุฎู„ูŠู†ูŠ ุฃุฎุฏ .. ู„ูŠุด leftุŸ ู„ุฃู† ุงู„ู€ X bar ู…ุงู„ู‡ุง 29.84
1012
+
1013
+ 286
1014
+ 00:23:36,270 --> 00:23:41,790
1015
+ ุฃู‚ู„ ู…ู† 30 ูุฃุฎุฏู„ูŠ 29.84 ุฃู‚ู„ ู…ู† 30 ุฅูŠุด ู‡ูŠุชุบูŠุฑ ููŠ ุงู„ุญู„ุŸ
1016
+
1017
+ 287
1018
+ 00:23:41,790 --> 00:23:47,820
1019
+ ู‡ุฐุง ุญุชู‰ ู…ุฒุงู…ูŠู‡ ู…ุธุจูˆุทุŸ ู‡ุฐุง ู„ุง ูŠุชุบูŠุฑุŒ ุงู„ู„ูŠ ุณูŠุชุบูŠุฑ ู‡ูˆ
1020
+
1021
+ 288
1022
+ 00:23:47,820 --> 00:23:54,780
1023
+ ุงู„ู€ Critical Value ุตุงุฑุช to the leftุŒ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุงุŒ
1024
+
1025
+ 289
1026
+ 00:23:54,780 --> 00:24:00,900
1027
+ ู…ุงุฐุง ุณูŠุญุตู„ุŸ ุจุณ ุนู„ู‰ ุงู„ุฌู‡ุฉ ุงู„ูˆุงุญุฏุฉุŒ ู„ุฃู†ู‡ุง ู†ูŠุฌุงุชูŠูุŒ ู…ุงุฐุง
1028
+
1029
+ 290
1030
+ 00:24:00,900 --> 00:24:04,580
1031
+ ูŠุธู‡ุฑ ุนู†ุฏ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŸ ุฃุฎุฏู‡ุง ู…ู† ูŠูˆู… ุงู„ู…ุงุถูŠุŒ ู†ู‚ู„
1032
+
1033
+ 291
1034
+ 00:24:04,580 --> 00:24:09,880
1035
+ ูุงุชุญ ุตูุฑุŒ ู†ูŠุฌุงุชูŠู 1.645ุŒ ู…ุธุจูˆุทุŸ ุงู„ุขู†ุŒ ู‡ู„ ู‡ุฐุง ุงู„ูˆุถุน
1036
+
1037
+ 292
1038
+ 00:24:09,880 --> 00:24:17,010
1039
+ ูŠุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุŸ ู†ุนู… ูˆุงู„ู†ู‡ุงูŠุฉ ู‡ูŠ ุฃู†ู†ุง
1040
+
1041
+ 293
1042
+ 00:24:17,010 --> 00:24:21,170
1043
+ ู†ุชูุฑู‘ุฌ ู…ู† ุงู„ู€ Null hypothesis ูˆู†ุฎุชู… ุฃู† ู‡ู†ุงูƒ ูˆุซูŠู‚ุฉ
1044
+
1045
+ 294
1046
+ 00:24:21,170 --> 00:24:27,270
1047
+ ูƒุงููŠุฉ ู„ุฃู† ุงู„ู€ true mean ู‡ูˆ ุฃู‚ู„ ู…ู† ุงู„ู€ true mean
1048
+
1049
+ 295
1050
+ 00:24:27,270 --> 00:24:30,970
1051
+ ุฃู†ุง ุฃุฎุฏุช lessุŒ ูŠุนู†ูŠ we are not equal to ูˆุฎู„ุตู†ุงู‡ุง
1052
+
1053
+ 296
1054
+ 00:24:30,970 --> 00:24:35,710
1055
+ ุฃู†ุง ุจุญูƒูŠ ู„ูˆ ูƒุงู†ุช ุงู„ูุฑุถูŠุฉ ุงู„ู€ mu ุฃู‚ู„ุŒ ู„ูˆ ูƒุงู†ุช ุฃู‚ู„
1056
+
1057
+ 297
1058
+ 00:24:35,710 --> 00:24:39,470
1059
+ ู…ู† 30 ุณูŠูƒูˆู† ุงู„ู‚ุฑุงุฑ ูŠุฏุนู… ุฃู† ุงู„ู€ mean ู…ุงู„ู‡ ุฃู‚ู„ ู…ู† 30
1060
+
1061
+ 298
1062
+ 00:24:39,470 --> 00:24:43,790
1063
+ ู‡ู„ ู…ู…ูƒู† ุฃุนู…ู„ู‡ุง ู…ู† ุบูŠุฑ ู…ุทู„ุจ ุงู„ู€ criticalุŸ ู…ู…ูƒู† ู„ูˆ
1064
+
1065
+ 299
1066
+ 00:24:43,790 --> 00:24:47,890
1067
+ ูƒุงู†ุช ุงู„ู‚ุฑุงุฑ ู…ูŠูˆุฒ ู†ูˆุช ุชูŠุฑุชูŠ ูƒูŠู ู…ู…ูƒู† ุฃุนุฑู ููŠ ุดู…ุงู„
1068
+
1069
+ 300
1070
+ 00:24:47,890 --> 00:24:51,670
1071
+ ุฃูˆ ูŠู…ูŠู†ุŸ
1072
+
1073
+ 301
1074
+ 00:24:51,670 --> 00:24:56,130
1075
+ ู…ู† ุบูŠุฑ ู…ุง .. ู…ู† ุบูŠุฑ ู…ุง ุฃุญู„ ุงู„ู…ุซู„ุฉ ุนู„ู‰ ุญุณุจ ุงู„ู€ Z
1076
+
1077
+ 302
1078
+ 00:24:56,130 --> 00:24:59,630
1079
+ ู‚ุดุทูˆู†ุฉ ู…ุน ุงู„ู€ Z positive ูˆู„ุง negativeุŸ negative
1080
+
1081
+ 303
1082
+ 00:24:59,630 --> 00:25:04,350
1083
+ ุจุชุงุน ู„ูŠู‡ุง ุนู„ุงู‚ุฉุŒ ุฎู„ุงุตุŸ ูŠุนู†ูŠ ู…ู† ุบูŠุฑ ู…ุง ุชุทู„ุน ุงู„ู€
1084
+
1085
+ 304
1086
+ 00:25:04,350 --> 00:25:12,800
1087
+ critical value ุงู„ู„ูŠ ู‡ู†ุง ู‡ุชุตูŠุฑ ุนู„ู‰ ุงู„ูŠุณุงุฑุŒ ุฎู„ุงุตุŸ ู‡ุฐุง
1088
+
1089
+ 305
1090
+ 00:25:12,800 --> 00:25:16,620
1091
+ ุงู„ู€ First Approach ูŠุณู…ู‰ Critical Value Approach ุฃูŠ
1092
+
1093
+ 306
1094
+ 00:25:16,620 --> 00:25:20,620
1095
+ ุณุคุงู„ ุนูŠุฏ
1096
+
1097
+ 307
1098
+ 00:25:20,620 --> 00:25:29,220
1099
+ ุจุณุฑุนุฉ ู…ุฑุฉ ุซุงู†ูŠุฉ ู„ู„ูŠ ูƒุงู† ุณุฑุญุงู† ูุถู„ุงู‹ ุตุญูŠุญ ุงู„ู€ N ูˆุงู„ู€
1100
+
1101
+ 308
1102
+ 00:25:29,220 --> 00:25:33,320
1103
+ X bar ูˆุงู„ู€ Sigma ูˆุงู„ู€ Alpha is given if Alpha is
1104
+
1105
+ 309
1106
+ 00:25:33,320 --> 00:25:36,700
1107
+ not given just use 5% ุฅุฐุง ุงู„ู€ Sigma ูˆุงู„ู€ N ูˆุงู„ู€ X
1108
+
1109
+ 310
1110
+ 00:25:36,700 --> 00:25:39,400
1111
+ bar ู…ุนู„ูˆู…ุงุช ุฎู„ุงุต
1112
+
1113
+ 311
1114
+ 00:25:42,210 --> 00:25:46,210
1115
+ ุงู„ุขู† ุงู„ู€ six steps ุจุญุฏุฏ ุงู„ู€ null alternate
1116
+
1117
+ 312
1118
+ 00:25:46,210 --> 00:25:51,790
1119
+ hypothesis ู‡ูˆ ุญูƒุงูŠุฉ ู…ูŠูˆ ุฅูŠูƒูˆุงู„ ุชูŠุฑุชูŠ ุฃูƒูŠุฏ ุงู„ุจุฏูŠู„
1120
+
1121
+ 313
1122
+ 00:25:51,790 --> 00:25:55,590
1123
+ ู‡ุชูƒูˆู† ุฅูŠุด is not equal to ุฅู„ุง ุฅุฐุง ู‡ูˆ ุญูƒุงูŠุฉ ุฃูƒุจุฑ ุฃูˆ
1124
+
1125
+ 314
1126
+ 00:25:55,590 --> 00:26:03,530
1127
+ ุฃู‚ู„ Alpha 5% ูˆุญูƒุงูŠุฉ n ุจุชุณุงูˆูŠ 100 ุงู„ sigma is
1128
+
1129
+ 315
1130
+ 00:26:03,530 --> 00:26:06,850
1131
+ known ูˆุจุชูƒู„ู… ู…ุน ุงู„ู…ูŠู† ู…ุน ูƒุฏู‡ ุงู„ appropriate test
1132
+
1133
+ 316
1134
+ 00:26:06,850 --> 00:26:13,250
1135
+ is this test ุจุทู„ุน ุงู„ critical value ุทุจุนุงู‹ ุชู†ุชู‡ูŠ ู„ุฃู†
1136
+
1137
+ 317
1138
+ 00:26:13,250 --> 00:26:16,890
1139
+ ูˆุงุญุฏุฉ ูŠู…ูŠู† ูˆูˆุงุญุฏุฉ ุดู…ุงู„ ุจูŠุทู„ุน 1.96 ูˆุซุงู†ูŠ negative
1140
+
1141
+ 318
1142
+ 00:26:16,890 --> 00:26:22,130
1143
+ ุจุนุฏูŠู† ุจุญุณุจ ุงู„ Z statistic ุจูŠุทู„ุน negative 2 ุจุณ
1144
+
1145
+ 319
1146
+ 00:26:22,130 --> 00:26:26,870
1147
+ ุจุชุณุฃู„ ู†ูุณูƒ is this value of this statistic in the
1148
+
1149
+ 320
1150
+ 00:26:26,870 --> 00:26:30,090
1151
+ rejection region now the rejection region either
1152
+
1153
+ 321
1154
+ 00:26:30,090 --> 00:26:34,850
1155
+ less than negative 1.96 or greater than 1.96 now
1156
+
1157
+ 322
1158
+ 00:26:34,850 --> 00:26:37,750
1159
+ my Z statistic falls in this region so we reject
1160
+
1161
+ 323
1162
+ 00:26:37,750 --> 00:26:42,820
1163
+ it ุจุณ ู‡ุฐุง ุฃูˆู„ approach ุจู†ุณู…ูŠู‡ critical value
1164
+
1165
+ 324
1166
+ 00:26:42,820 --> 00:26:46,640
1167
+ approach next
1168
+
1169
+ 325
1170
+ 00:26:46,640 --> 00:26:51,360
1171
+ approach is called p value approach to testing p
1172
+
1173
+ 326
1174
+ 00:26:51,360 --> 00:26:55,040
1175
+ stands for probability so this is probability
1176
+
1177
+ 327
1178
+ 00:26:55,040 --> 00:26:58,830
1179
+ value approach to testing most likely the
1180
+
1181
+ 328
1182
+ 00:26:58,830 --> 00:27:03,890
1183
+ statistical software packages provide p-value ู…ุนุธู…
1184
+
1185
+ 329
1186
+ 00:27:03,890 --> 00:27:07,230
1187
+ ุงู„ุจุฑุงู…ุฌ ุงู„ุญุณุงุจูŠุฉ ุจุชุทู„ุน ุงู„ p-value ุนุดุงู† ูƒุฏู‡ ู…ู‡ู… ุฌุฏุงู‹
1188
+
1189
+ 330
1190
+ 00:27:07,230 --> 00:27:12,110
1191
+ ู†ุชุนุฑู ูƒูŠู ู†ุทู„ุน ุฃูˆ ู†ุญุณุจ ุงู„ p-value ุญุณุงุจ ุงู„ p-value
1192
+
1193
+ 331
1194
+ 00:27:12,110 --> 00:27:16,570
1195
+ ุฃุฎุฏู†ุงู‡ ุตูˆุฑุฉ ู…ุนูŠู†ุฉ ููŠ ุดุงุจุชุฑ ุณุจุนุฉ ุจุณ ุจูŠุงุฑ ุงู„ู…ุญูƒู…ุฉ ู‡ุฐู‡
1196
+
1197
+ 332
1198
+ 00:27:16,570 --> 00:27:19,210
1199
+ ุนุจุงุฑุฉ ุนู† ุงู„ p-value ุฅุญู†ุง ุญูƒูŠู†ุงู‡ุง ููŠ ุดุงุจุชุฑ ุชุณุนุฉ ูƒู†ุง
1200
+
1201
+ 333
1202
+ 00:27:19,210 --> 00:27:21,850
1203
+ ู†ุณู…ูŠู‡ุง probability ูˆุจุณ ูƒูŠู ู†ุทู„ุน ุงู„ probability
1204
+
1205
+ 334
1206
+ 00:27:21,850 --> 00:27:25,110
1207
+ ุชุชุฐูƒุฑ ูƒูŠู ู†ุทู„ุน ุงู„ probability ู†ูุณ ุงู„ุฌุซุฉ ู‡ู†ุนู…ู„ู‡ุง
1208
+
1209
+ 335
1210
+ 00:27:25,110 --> 00:27:30,430
1211
+ ุงู„ุขู† ุจุนุฏ ุดูˆูŠุฉ ู‡ุฐุง ู‡ูˆ ุงู„ู…ูˆุถูˆุน ุงู„ุชุงู„ูŠ ุฃูˆ ุงู„ุงุชุตุงู„
1212
+
1213
+ 336
1214
+ 00:27:30,430 --> 00:27:44,870
1215
+ ุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ูŠุณู…ู‰ p value approach ุจูŠ
1216
+
1217
+ 337
1218
+ 00:27:44,870 --> 00:27:49,190
1219
+ value approach
1220
+
1221
+ 338
1222
+ 00:27:49,190 --> 00:27:51,970
1223
+ to testing
1224
+
1225
+ 339
1226
+ 00:27:59,900 --> 00:28:03,700
1227
+ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุทุฑูŠู‚ุชูŠู† ู„ู„ู‚ุฑุงุฑุŒ ู„ู„ุงุฎุชุจุงุฑ ุฅู…ุง ุงู„ู€
1228
+
1229
+ 340
1230
+ 00:28:03,700 --> 00:28:06,580
1231
+ Critical ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ุฃูˆ ุงู„ู€ P-Value ูˆุงู„ุงุซู†ูŠู†
1232
+
1233
+ 341
1234
+ 00:28:06,580 --> 00:28:11,700
1235
+ ูŠุนุทูˆู† ู†ูุณ ุงู„ู€ Conclusion
1236
+
1237
+ 342
1238
+ 00:28:11,700 --> 00:28:14,980
1239
+ ุณูˆุงุก ุงุณุชุฎุฏู…ุช ุงู„ู€ P-Value approach ุฃูˆ ุงู„ู€ Critical
1240
+
1241
+ 343
1242
+ 00:28:14,980 --> 00:28:19,120
1243
+ P-Value approach ุงู„ู€ P-Value ุงู„ู€ differentiation
1244
+
1245
+ 344
1246
+ 00:28:19,120 --> 00:28:21,900
1247
+ ุชุจุนู‡ุง probability of obtaining a test statistic
1248
+
1249
+ 345
1250
+ 00:28:21,900 --> 00:28:25,800
1251
+ equal to or more extreme than the observed sample
1252
+
1253
+ 346
1254
+ 00:28:25,800 --> 00:28:31,190
1255
+ given its null is true ูˆุงู„ู€ P-value is also called
1256
+
1257
+ 347
1258
+ 00:28:31,190 --> 00:28:38,030
1259
+ .. ุฃู†ุง ุจุณู…ูŠู‡ุง observed level
1260
+
1261
+ 348
1262
+ 00:28:38,030 --> 00:28:45,410
1263
+ of significance ูŠุนู†ูŠ ู…ู† ุงู„ุณูˆุก ุงู„ู…ุนู†ูˆูŠ ู„ู„ู…ุดุงู‡ุฏ
1264
+
1265
+ 349
1266
+ 00:28:45,410 --> 00:28:50,690
1267
+ observed ุงู„ู€ ุฃู„ูุง ูƒุงู†ุช ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุจุณ ุงู„ level of
1268
+
1269
+ 350
1270
+ 00:28:50,690 --> 00:28:54,070
1271
+ significance ู„ูƒู† ุงู„ู€ P-value ุงู„ observed ุงู„ู…ุดุงู‡ุฏ
1272
+
1273
+ 351
1274
+ 00:28:54,070 --> 00:28:57,990
1275
+ ู„ูŠุด ู…ุดุงู‡ุฏุŸ ู„ุฃู† ุฃู†ุง ุจุญุณุจู‡ ู…ู† ุงู„ุนูŠู†ุฉ ุนุดุงู† ูƒุฐุง ู†ุญุณุจู‡
1276
+
1277
+ 352
1278
+ 00:28:57,990 --> 00:29:02,930
1279
+ ู…ู† ุงู„ุนูŠู†ุฉ it is the smallest value of ฮฑ for which H0
1280
+
1281
+ 353
1282
+ 00:29:02,930 --> 00:29:07,050
1283
+ can be rejected ูŠุนู†ูŠ ู‡ูŠ ุฃุตุบุฑ ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู† ุงู„ู€ ฮฑ
1284
+
1285
+ 354
1286
+ 00:29:07,050 --> 00:29:10,390
1287
+ ู„ู…ุง ู†ุญู† ู†ู‚ู„ ุงู„ู€ Null process ุงู„ decision ุชุจุนู†ุง
1288
+
1289
+ 355
1290
+ 00:29:10,390 --> 00:29:16,630
1291
+ ูƒุงู„ู‡ุงุชู ู†ุณุชุทูŠุน ุฃู† ู†ู‚ู„ ุงู„ู€ P value ู…ู† ุงู„ู€ ฮฑ ุงู„ุณู„ุณู„ุฉ
1292
+
1293
+ 356
1294
+ 00:29:16,630 --> 00:29:27,390
1295
+ ู‡ูŠ ุฅุฐุง P value ุฃุตุบุฑ ู…ู† ุงู„ู€ ฮฑ ูˆุงู„ู€ ฮฑ ู…ุณุชุฎุฏู…ุฉ ูู†ู‚ู„
1296
+
1297
+ 357
1298
+ 00:29:27,390 --> 00:29:27,830
1299
+ ุงู„ู€ H0
1300
+
1301
+ 358
1302
+ 00:29:31,420 --> 00:29:33,260
1303
+ ุฅุฐุง ุฃู†ุง ุญุงุณุจ ุงู„ู€ P valueุŒ ูˆุญูˆุฑูŠูƒุง ู…ุง ุฃุนุฑูุด ูƒูŠู
1304
+
1305
+ 359
1306
+ 00:29:33,260 --> 00:29:37,620
1307
+ ุจุญุณุจู‡ุง ุฅุฐุง ุงู„ู€ P value is smaller than AlphaุŒ then
1308
+
1309
+ 360
1310
+ 00:29:37,620 --> 00:29:43,560
1311
+ we reject the null hypothesis otherwise if this P
1312
+
1313
+ 361
1314
+ 00:29:43,560 --> 00:29:47,300
1315
+ value is greater than or equal to AlphaุŒ then we
1316
+
1317
+ 362
1318
+ 00:29:47,300 --> 00:29:52,480
1319
+ don't reject H0
1320
+
1321
+ 363
1322
+ 00:29:52,480 --> 00:29:55,700
1323
+ ุฅุฐุง
1324
+
1325
+ 364
1326
+ 00:29:55,700 --> 00:29:58,380
1327
+ always we reject the null hypothesis if P value is
1328
+
1329
+ 365
1330
+ 00:29:58,380 --> 00:30:05,020
1331
+ small ุงู„ุขู† ุงู„ู€ small ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ูˆู… ูู‚ุท ุจู…ู‚ุงุฑู†ุฉ
1332
+
1333
+ 366
1334
+ 00:30:05,020 --> 00:30:08,540
1335
+ P-value ู…ุน Alpha ุฅุฐุง ูƒุงู† P-value ุฃูƒุซุฑ ู…ู† Alpha
1336
+
1337
+ 367
1338
+ 00:30:08,540 --> 00:30:11,800
1339
+ ูู†ู‚ูˆู… ุจุฅู†ู‡ุงุก ุงู„ู€ Hypothesis ู…ุน ูƒุฏู‡ ูƒู„ ู…ุง ูƒุงู†ุช ุงู„ู€ P
1340
+
1341
+ 368
1342
+ 00:30:11,800 --> 00:30:15,980
1343
+ -value ุตุบูŠุฑุฉ ู†ู‚ูˆู… ุจุฅู†ู‡ุงุฆู‡ุง but how small is small
1344
+
1345
+ 369
1346
+ 00:30:15,980 --> 00:30:18,740
1347
+ enough to reject the null hypothesis ุฅุฐุง ูƒุงู† P
1348
+
1349
+ 370
1350
+ 00:30:18,740 --> 00:30:22,720
1351
+ -value ุฃูƒุซุฑ ู…ู† Alpha ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ุงุนุฏุฉ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ
1352
+
1353
+ 371
1354
+ 00:30:22,720 --> 00:30:28,240
1355
+ ุณู†ุณุชุฎุฏู…ู‡ ุฅุฐุง ูƒุงู† P-value ุฃู‚ู„ ู…ู† Alpha ุณุฃุนุทูŠูƒ ุดูŠุก
1356
+
1357
+ 372
1358
+ 00:30:28,240 --> 00:30:35,040
1359
+ ูู‚ุท ู„ุชุฐูƒุฑ ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ู€ P value ุตุบูŠุฑุฉุŒ ูุฅู† ุงู„ู€ H0
1360
+
1361
+ 373
1362
+ 00:30:35,040 --> 00:30:39,760
1363
+ ูŠุฌุจ ุฃู† ูŠุฐู‡ุจ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ P value ุตุบูŠุฑุฉุŒ ูุงู„ู€ H0 ู…ุง
1364
+
1365
+ 374
1366
+ 00:30:39,760 --> 00:30:46,260
1367
+ ู„ู‡ุง ุฐู‡ุจ ู…ุนู†ุงู‡ุง ุชู†ูุฐ ุงู„ู€ H0 ุงู„ุขู† ุณุฃุดูˆู ูƒูŠู ุฃุณุชุฎุฏู…
1368
+
1369
+ 375
1370
+ 00:30:46,260 --> 00:30:50,080
1371
+ ุงู„ู€ P value approach ุงู„ู€ steps ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ููŠ
1372
+
1373
+ 376
1374
+ 00:30:50,080 --> 00:30:55,680
1375
+ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏูŠู† step one the same ุงู„ู€ set null
1376
+
1377
+ 377
1378
+ 00:30:55,680 --> 00:30:58,930
1379
+ and alternate hypothesis ุงู„ุฎุทูˆุฉ ุงู„ุซุงู†ูŠุฉ ู…ุงุฒุงู„ุช
1380
+
1381
+ 378
1382
+ 00:30:58,930 --> 00:31:03,150
1383
+ ู†ูุณู‡ุงุŒ ุงุฎุชุฑ ุฃู„ูุง ูˆุงู„ุฎุทูˆุฉ ุงู„ุซุงู„ุซุฉ ุชุญุฑูŠุฑ ุงุนุชู…ุงุฏ
1384
+
1385
+ 379
1386
+ 00:31:03,150 --> 00:31:04,130
1387
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1388
+
1389
+ 380
1390
+ 00:31:04,130 --> 00:31:06,030
1391
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1392
+
1393
+ 381
1394
+ 00:31:06,030 --> 00:31:06,130
1395
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1396
+
1397
+ 382
1398
+ 00:31:06,130 --> 00:31:06,370
1399
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1400
+
1401
+ 383
1402
+ 00:31:06,370 --> 00:31:06,430
1403
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1404
+
1405
+ 384
1406
+ 00:31:06,430 --> 00:31:06,450
1407
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1408
+
1409
+ 385
1410
+ 00:31:06,450 --> 00:31:07,690
1411
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1412
+
1413
+ 386
1414
+ 00:31:07,690 --> 00:31:09,150
1415
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1416
+
1417
+ 387
1418
+ 00:31:09,150 --> 00:31:14,410
1419
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1420
+
1421
+ 388
1422
+ 00:31:14,410 --> 00:31:18,380
1423
+ ุงู„ุงุนุชู…ุงุฏ Critical Value Approach ูˆ P-Value Approach
1424
+
1425
+ 389
1426
+ 00:31:18,380 --> 00:31:21,380
1427
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ูˆู… ุจุชุญุณูŠู† P-Value ุจุฏู„ุงู‹ ู…ู† P
1428
+
1429
+ 390
1430
+ 00:31:21,380 --> 00:31:26,000
1431
+ -Critical Value ู†ุญุณุจ P-Value ุจุฏู„ุงู‹ ู…ู† P-Critical
1432
+
1433
+ 391
1434
+ 00:31:26,000 --> 00:31:30,120
1435
+ Value ู†ุญุณุจ P-Value ุจุฏู„ุงู‹ ู…ู† P-Critical Value ู†ุญุณุจ P
1436
+
1437
+ 392
1438
+ 00:31:30,120 --> 00:31:36,000
1439
+ -Value ุจุฏู„ุงู‹ ู…ู† P-Critical Value ู†ุญุณุจ P-Value ุจุฏู„ุงู‹
1440
+
1441
+ 393
1442
+ 00:31:36,000 --> 00:31:42,180
1443
+ ู…ู† P-Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุงู‹ ู…ู†
1444
+
1445
+ 394
1446
+ 00:31:42,180 --> 00:31:42,200
1447
+ P-Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุงู‹ ู…ู† P
1448
+
1449
+ 395
1450
+ 00:31:42,200
1451
+
1452
+ 431
1453
+ 00:34:48,070 --> 00:34:52,970
1454
+ ุฎุฏูŠู‡ุง absolute value ุญุชู‰ ู„ูˆ ุทู„ุนุช negative ุฎุฏูŠู‡ุง
1455
+
1456
+ 432
1457
+ 00:34:52,970 --> 00:34:57,930
1458
+ absolute value ูŠุนู†ูŠ ุงุชู†ูŠู† ููŠ ุงุญุชู…ุงู„ z ุฃูƒุจุฑ ู…ู†
1459
+
1460
+ 433
1461
+ 00:34:57,930 --> 00:35:01,470
1462
+ ุงุชู†ูŠู† ุฅุฐุง ุงู† ุฌุงูˆุจ ุนู„ู‰ ุทูˆู„ ู„ุงุฒู… ู‡ุฐู‡ ุฌุงู‡ุฒุฉ ู…ุนุงู‡ ู„ุงุฒู…
1463
+
1464
+ 434
1465
+ 00:35:01,470 --> 00:35:05,290
1466
+ ุจุทู„ุน .. ูŠุนู†ูŠ ุจุทู„ุน ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฃูˆ ุจุทู„ุน ูˆุงุญุฏุฉ ูˆ
1467
+
1468
+ 435
1469
+ 00:35:05,290 --> 00:35:09,090
1470
+ ุจุถุฑุจู‡ุง ููŠ ุงุชู†ูŠู† ููŠุทู„ุน ุงุชู†ูŠู† ุถุฑุจ zero point 0456
1471
+
1472
+ 436
1473
+ 00:35:09,090 --> 00:35:18,130
1474
+ ุชู…ุงู… ูŠุนู†ูŠ ุชุทู„ุน 0.456 ุฅุฐุง ุทู„ุนุช ุงู„ P value 0.
1475
+
1476
+ 437
1477
+ 00:35:21,290 --> 00:35:27,170
1478
+ 456 now
1479
+
1480
+ 438
1481
+ 00:35:27,170 --> 00:35:34,630
1482
+ is this P value more than AlphaุŸ ุงู„ Alpha is 5% ูˆุงุถุญ
1483
+
1484
+ 439
1485
+ 00:35:34,630 --> 00:35:39,030
1486
+ 0.456 ุชู‚ุฑูŠุจุง ุฃู‚ู„ ู…ู† 0.5 ุฅุฐู† ุงู„ู‚ุฑุงุฑ ูŠ reject null
1487
+
1488
+ 440
1489
+ 00:35:39,030 --> 00:35:44,890
1490
+ hypothesis ุฅุฐู† is the p value less than alpha so
1491
+
1492
+ 441
1493
+ 00:35:44,890 --> 00:35:50,190
1494
+ we reject now in this case p value is 0.4566 which
1495
+
1496
+ 442
1497
+ 00:35:50,190 --> 00:35:53,630
1498
+ is more than 0.05 so we reject the null hypothesis
1499
+
1500
+ 443
1501
+ 00:35:53,630 --> 00:35:57,850
1502
+ so we end with the same result and conclude the
1503
+
1504
+ 444
1505
+ 00:35:57,850 --> 00:36:01,570
1506
+ same conclusion ูˆุงุถุญ ู†ูุณ ุงู„ู‚ุฑุงุฑ so we end with the
1507
+
1508
+ 445
1509
+ 00:36:01,570 --> 00:36:07,120
1510
+ same decision ูˆุงู„ู†ุชูŠุฌุฉ ู†ูุณู‡ุง ู„ุฐุง ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู† ู‚ุจู„
1511
+
1512
+ 446
1513
+ 00:36:07,120 --> 00:36:10,560
1514
+ ู†ุธุฑูŠุฉ ุงู„ู€ null hypothesis ูˆู†ุญุตู„ ุนู„ู‰ ู†ูุณ ุงู„ู†ุชูŠุฌุฉ ุฃู† ู‡ู†ุงูƒ
1515
+
1516
+ 447
1517
+ 00:36:10,560 --> 00:36:17,160
1518
+ ุฃุซุงุฑุฉ ูƒุงููŠุฉ ู„ู†ู‚ู„ ุฃู† ุงู„ู€ mean ู„ูŠุณ ุฃู‚ู„ ู…ู† 30 ุทุจ ู„ูˆ
1519
+
1520
+ 448
1521
+ 00:36:17,160 --> 00:36:22,660
1522
+ ุนุงูŠุฒูŠู†ู‡ุง ุฃู‚ู„ ู…ู† ุงู„ู„ูŠ
1523
+
1524
+ 449
1525
+ 00:36:22,660 --> 00:36:31,720
1526
+ ู‡ูˆ ุฏู‡ ูƒู„ู‡ ุฃู†ุง ุนุงูŠุฒู‡ ุจุณ ุงู„ H1 ูƒุงู†ุช ู…ูŠูˆ ุฃู‚ู„ ู…ู† 30 ูˆ
1527
+
1528
+ 450
1529
+ 00:36:31,720 --> 00:36:37,600
1530
+ ุงู„ Z ู…ุงุฒุงู„ุช negative 2 ุงู„ rejection ู‡ูŠ ู…ุธุจูˆุท to
1531
+
1532
+ 451
1533
+ 00:36:37,600 --> 00:36:41,500
1534
+ the left ูุงู„ probability ู‡ุชุณุงูˆูŠ ุงูˆ ุงู„ P value
1535
+
1536
+ 452
1537
+ 00:36:41,500 --> 00:36:48,420
1538
+ probability of Z less ูˆู„ุง ุฃูƒุจุฑุŸ less ู„ูŠุด lessุŸ ู„ุฃู†
1539
+
1540
+ 453
1541
+ 00:36:48,420 --> 00:36:53,460
1542
+ ุนู†ุฏ ู‡ู†ุง less ู„ูˆ ุฃูƒุจุฑ ุจุงุฎุฏ ุงู„ุฃูƒุจุฑ ุฅูŠุด ุทู„ุน ุงู„ job
1543
+
1544
+ 454
1545
+ 00:36:53,460 --> 00:36:57,920
1546
+ ู…ุนุงู‡ุŸ ู…ู† ุดูˆูŠุฉ ู„ุญุธุฉ
1547
+
1548
+ 455
1549
+ 00:36:57,920 --> 00:37:02,980
1550
+ ู†ุต ุงู„ู„ูŠ ุทู„ุนุช ู…ุด ู‡ูŠูƒ ุงู„ู†ุต ุงู„ู„ูŠ ุทู„ุนุช ุจุงู„ุทุจุน ุงู„ู‚ุฑุงุด
1551
+
1552
+ 456
1553
+ 00:37:02,980 --> 00:37:11,100
1554
+ ุทู„ุน reject ู…ุธุจูˆุท ู…ุน ูƒุฏู‡ ุงู„ mean ู…ุงู„ู‡ ุฃู‚ู„ ุฅุฐุง ูˆุงุถุญ
1555
+
1556
+ 457
1557
+ 00:37:11,100 --> 00:37:14,960
1558
+ ุฃู† ู‡ูŠ ุงู„ู†ุต ุงู„ู„ูŠ ูุงุชุช ู…ุด ุดุงูŠู ุทุจ ู„ูˆ ูˆุงุญุฏ ุนุงูŠุฒ ูŠุฎุชุจุฑ
1559
+
1560
+ 458
1561
+ 00:37:14,960 --> 00:37:20,520
1562
+ ู†ูุชุฑุถ 100 ุฃูƒุจุฑ ู…ู† 30 ุงู„
1563
+
1564
+ 459
1565
+ 00:37:20,520 --> 00:37:25,080
1566
+ P-Value ู‡ุชุณุงูˆูŠ probability of Z greater than
1567
+
1568
+ 460
1569
+ 00:37:25,080 --> 00:37:25,760
1570
+ negative 2
1571
+
1572
+ 461
1573
+ 00:37:29,570 --> 00:37:33,030
1574
+ ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ูˆ ุฃูƒุจุฑ ูุชุทู„ุน ุฃูƒุจุฑ ูˆู†ู‚ุต ุงุชู†ูŠู† ู‡ุงูŠ ุงู„ู€
1575
+
1576
+ 462
1577
+ 00:37:33,030 --> 00:37:38,850
1578
+ negative two ู…ุณุงุญุฉ ู‡ุฐู‡ ุงู„ team ุงู„ู…ุญุชู„ูŠุฉ ุงู„ู„ูŠ ูˆูŠู†
1579
+
1580
+ 463
1581
+ 00:37:38,850 --> 00:37:42,950
1582
+ to the left is on one minus p of z less than
1583
+
1584
+ 464
1585
+ 00:37:42,950 --> 00:37:46,030
1586
+ negative two ู‡ุงูŠ ุจุชุทู„ุน ุงู„ 0.9772
1587
+
1588
+ 465
1589
+ 00:37:46,030 --> 00:37:51,440
1590
+ ุฅูŠุด ุจุชุทู„ุน ู‡ูŠูƒ 0.9772 ู„ุญุธุฉ ุงู„ู…ูƒู…ู„ุฉ
1591
+
1592
+ 466
1593
+ 00:37:51,440 --> 00:37:54,760
1594
+ ุชุจุนุชู‡ุง one minus ุทุจ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุฃูƒุจุฑ ุฑุฒู‚ ู…ู† ุงู„
1595
+
1596
+ 467
1597
+ 00:37:54,760 --> 00:37:58,480
1598
+ alpha ุฃูƒุจุฑ ุจูƒุชูŠุฑ ู…ู† ุงู„ alpha ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุฅูŠุด ุจูŠูƒูˆู†
1599
+
1600
+ 468
1601
+ 00:37:58,480 --> 00:38:04,060
1602
+ ู‡ุฐู‡ ุชุณุชูˆู‰ ุชู„ุงุชูŠู† ู…ุธุจูˆุท not reject ุฅุฐุง we don't
1603
+
1604
+ 469
1605
+ 00:38:04,060 --> 00:38:06,900
1606
+ reject the null hypothesis ุฎู„ู‘ูŠู†ุง ู†ู„ุงู‚ูŠ ุงู„ null
1607
+
1608
+ 470
1609
+ 00:38:06,900 --> 00:38:11,700
1610
+ ู…ูƒุชูˆุจ ู‡ู†ุง ู…ูŠูˆ equal ุชู„ุงุชูŠู† ูˆู‡ู†ุง ู…ูŠูˆ ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู†
1611
+
1612
+ 471
1613
+ 00:38:11,700 --> 00:38:16,860
1614
+ ูˆุญูƒูŠู†ุง ูƒู„ ูˆุงุญุฏ ู…ู†ู‡ู… opposite ู„ู„ุชุงู†ูŠ ุนูƒุณ ุจุนุถ ุทุจ
1615
+
1616
+ 472
1617
+ 00:38:16,860 --> 00:38:21,930
1618
+ ุงู„ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ุฅูŠุด ุจูŠูƒูˆู† ุงู„ opposite ุชุจุนู‡ุŸุฃูƒุจุฑ ุฃูˆ
1619
+
1620
+ 473
1621
+ 00:38:21,930 --> 00:38:27,010
1622
+ ุณูˆู‰ ุฅุฐุง ูƒุงู† ุฃู‚ู„ ุจุชูƒูˆู† ุงู„ู€ Opposite ุชุจู‚ู‰ ุชู…ุงู„ู‡ุง
1623
+
1624
+ 474
1625
+ 00:38:27,010 --> 00:38:31,270
1626
+ ุฃูƒุจุฑ ุฃูˆ ุณูˆู‰ุŒ ุฎู„ุงุตุŸ
1627
+
1628
+ 475
1629
+ 00:38:31,270 --> 00:38:37,730
1630
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ูˆุงุถุญ ุงู„ููƒุฑุฉุŸ ุฃู†ุง ุจุญูƒูŠ ุนู„ูŠู‡ ู‡ุฐู‡ ุงู„ู€ H0
1631
+
1632
+ 476
1633
+ 00:38:37,730 --> 00:38:45,050
1634
+ ุจุชุงุนุชู‡ุง ุงู„ุฃูƒุจุฑ ุจุชูƒูˆู† ุชุงุนุชู‡ุง ุฃู‚ู„ ู…ู† ุฃูˆ ุณูˆู‰ 30 ููŠ ุฃูŠ
1635
+
1636
+ 477
1637
+ 00:38:45,050 --> 00:38:50,170
1638
+ ุณุคุงู„ุŸ ุจุงู„ู†ุณุจุฉ ู„ู„ next time ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ู„ูŠ ุญูƒูŠุช
1639
+
1640
+ 478
1641
+ 00:38:50,170 --> 00:38:53,870
1642
+ ุจุฏูŠ ุญุฏ ุงู† ูŠุทู„ุน ูŠุดุฑุญู‡ุง ู‡ุฐุง ุงู„ slide ุจุชูƒู„ู… ุนู†
1643
+
1644
+ 479
1645
+ 00:38:53,870 --> 00:38:58,390
1646
+ confidence interval ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ุจุณ ู‡ุฐุง ุงู„ slide
1647
+
1648
+ 480
1649
+ 00:38:58,390 --> 00:39:02,030
1650
+ ุงู„ู„ู‚ุงุก
1651
+
1652
+ 481
1653
+ 00:39:02,030 --> 00:39:07,530
1654
+ ุงู„ุฌุงูŠ ู‡ูŠุจุฏุฃ ู…ู† ู‡ู†ุง do you ever truly know sigmaุŸ
1655
+
1656
+ 482
1657
+ 00:39:07,530 --> 00:39:12,150
1658
+ ู‡ู„ ุงู†ุช ุจุชุนุฑู sigma ูˆู„ุง ู„ุฃุŸ ู‡ุฐุง ู‡ู†ุจุฏุฃ ููŠ ุงู„ู„ู‚ุงุก
1659
+
1660
+ 483
1661
+ 00:39:12,150 --> 00:39:17,790
1662
+ ุงู„ุฌุงูŠ ุงู„ู„ูŠ ู‡ูŠุดุฑุญู‡ ู„ู…ูˆุถูˆุน ู‡ุฐุง ูƒู„ู‡ ูˆุจู†ู‚ู ู„ุบุงูŠุฉ
1663
+
1664
+ 484
1665
+ 00:39:22,360 --> 00:39:28,580
1666
+ ุงู„ุจุฑูˆุจูˆุฑุดู† ุงู„ู„ูŠ ู‡ูˆ ู„ุบุงูŠุฉ hypothesis test for
1667
+
1668
+ 485
1669
+ 00:39:28,580 --> 00:39:29,120
1670
+ proportion
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/Q4WDKixbPT4_postprocess.srt ADDED
@@ -0,0 +1,1940 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,410 --> 00:00:24,330
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… we will
4
+
5
+ 2
6
+ 00:00:24,330 --> 00:00:28,470
7
+ continue chapter 9 in this class we will talk
8
+
9
+ 3
10
+ 00:00:28,470 --> 00:00:32,150
11
+ about hypothesis test for the mean as we mentioned
12
+
13
+ 4
14
+ 00:00:32,150 --> 00:00:41,080
15
+ before there are two claimsุฃูˆ ุงุชุฌุงู‡ูŠู† ู„ู‡ุฐุง ุงู„ุญู„ู‚ู‡
16
+
17
+ 5
18
+ 00:00:41,080 --> 00:00:46,300
19
+ ุงู„ุฃูˆู„ ู‡ูˆ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชู‡ูŠุฒ ู„ู„ู…ูŠุงู†ู‡ ูˆุงู„ุชุงู„ู‡ ุงู† ุดุงุก
20
+
21
+ 6
22
+ 00:00:46,300 --> 00:00:49,020
23
+ ุงู„ู„ู‡ ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู‡ูŠ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชู‡ูŠุฒ ู„ู„ู…ูŠุงู†ู‡
24
+
25
+ 7
26
+ 00:00:49,020 --> 00:00:59,980
27
+ ูุณุฃุจุฏุฃ ุจุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชู‡ูŠุฒ ู„ู„ู…ูŠุงู†ู‡
28
+
29
+ 8
30
+ 00:01:07,460 --> 00:01:11,620
31
+ ุงู„ุนู†ูˆุงู† ุงู„ู„ูŠ ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุฑูƒุฒ ุนู„ู‰ ุนุฏุฏ ุงู„ู…ุฌุชู…ุน ู„ุฃู†
32
+
33
+ 9
34
+ 00:01:11,620 --> 00:01:15,540
35
+ ุนุฏุฏ ุงู„ู…ุฌุชู…ุน ุนุงู…ู‹ุง ููŠ ุงู„ู…ุดูƒู„ุฉ ุงู„ุนู…ู„ูŠุฉ ุบูŠุฑ ู…ุนุฑูˆูุŒ
36
+
37
+ 10
38
+ 00:01:15,540 --> 00:01:20,360
39
+ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ุชุฌุฑุจุชู†ุง ูŠูƒูˆู† ุญูˆู„ ุนุฏุฏ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฐู„ูƒ
40
+
41
+ 11
42
+ 00:01:20,360 --> 00:01:26,720
43
+ ุชุฌุฑุจุฉ ุงู„ุญูŠูˆุงู†ุงุช ู„ู„ู€MU ุฏุงุฆู…ู‹ุง ู†ุญู† ู†ุฌุฑุจ ุนู† ุงู„ูˆุงุถุญุงุชุŒ
44
+
45
+ 12
46
+ 00:01:26,720 --> 00:01:31,780
47
+ ุนู† ู‚ูŠู… ุบูŠุฑ ู…ุนุฑูˆูุฉ ุงู„ูˆุงุถุญุงุช ุนุงุฏุฉ ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ู„ุฐุง
48
+
49
+ 13
50
+ 00:01:31,780 --> 00:01:36,020
51
+ ู†ุญู† ู†ุฌุฑุจ ุนู† ู‡ุฐู‡ ุงู„ูˆุงุถุญุงุช ุบูŠุฑ ู…ุนุฑูˆูุฉุงู„ูŠูˆู… ุณุฃู‚ูˆู…
52
+
53
+ 14
54
+ 00:01:36,020 --> 00:01:39,480
55
+ ุจู…ู‚ุงุทุน ู…ูŠู† ูˆุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ู…ู‚ุงุทุนุฉ
56
+
57
+ 15
58
+ 00:01:39,480 --> 00:01:46,340
59
+ ูˆุงู„ู…ู‚ุงุฑู†ุฉ ูˆุงู„ุงู† ู„ู„ู…ู‚ุงุทุน ู…ูŠู† ู…ูŠูˆู† ู‡ู†ุงูƒ ุงุชุฌุงุฑุจูŠู† ู…ู†
60
+
61
+ 16
62
+ 00:01:46,340 --> 00:01:52,080
63
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ู…ุณุชุฎุฏู… ุงุนู†ูŠ ุณูŠุฌู…ุง ู…ุนุฑูˆู ูˆุณูŠุฌู…ุง ุบูŠุฑ
64
+
65
+ 17
66
+ 00:01:52,080 --> 00:01:54,400
67
+ ู…ุนุฑูˆู ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุณุฃู‚ูˆู… ุจู…ู‚ุงุทุนุฉ ู…ุฌุฑุฏ ุณูŠุฌู…ุง
68
+
69
+ 18
70
+ 00:01:54,400 --> 00:02:00,000
71
+ ู…ุนุฑูˆู ูˆุณู†ุณุชุฎุฏู… ุงู„ุงุฎุชุตุงุฑ ุงู„ุฒูŠ ุงู„ุฐูŠ ุฐูƒุฑู†ุงู‡ ููŠ ุดุฑุจุฑ 3
72
+
73
+ 19
74
+ 00:02:00,000 --> 00:02:07,470
75
+ 6 ูˆ7ุงู„ุงู† ุฏุนูˆู†ุง ู†ุจุฏุฃ ุฃูˆู„ ุฎุทูˆุฉ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุฅุชุตุงู„
76
+
77
+ 20
78
+ 00:02:07,470 --> 00:02:14,030
79
+ ุณุงู…ุจู„ .. ุณุงู…ุจู„ ู…ูŠู† ู‡ูŠ X bar to Z score ุงูˆ Z
80
+
81
+ 21
82
+ 00:02:14,030 --> 00:02:20,690
83
+ statistic ูˆู†ุนุฑู ุงู† ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง X bar ู„ุฅุชุตุงู„ X
84
+
85
+ 22
86
+ 00:02:20,690 --> 00:02:28,090
87
+ bar to Z ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… X barุŒ ู‚ูŠู…ุฉ ุณุงู…ุจู„ ู…ูŠู†
88
+
89
+ 23
90
+ 00:02:28,090 --> 00:02:37,020
91
+ ู…ุงู†ุณุฉ ู…ูŠู†ู‡ุง ูˆู‡ูŠ ู…ูŠูˆู…ุน ุณูŠุฌู…ุง ู…ู† X ุจุงุฑ ูˆู‡ูˆ ุณูŠุฌู…ุง ุนู„ู‰
92
+
93
+ 24
94
+ 00:02:37,020 --> 00:02:42,040
95
+ ุณุจูŠุฑุชุฑุงู†ุŒ ูู‡ุฐุง ู‡ูˆ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉ ุงู„ุชูŠ
96
+
97
+ 25
98
+ 00:02:42,040 --> 00:02:49,880
99
+ ุงุณู…ู‡ุง ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉุŒ ูƒูŠู
100
+
101
+ 26
102
+ 00:02:49,880 --> 00:02:54,760
103
+ ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉ ุฃูƒุชุฑ ููŠ ุงู„ุญู„ู‚ุฉ
104
+
105
+ 27
106
+ 00:02:54,760 --> 00:02:58,930
107
+ ุงู„ุณุงุฏุณุฉุงู„ุฎุทูˆุฉ ุงู„ุชุงู„ูŠุฉ ู‡ูŠ ุงู† ุชุฎุชุงุฑ ุงู„ูˆุถุน ู„ู€ x bar
108
+
109
+ 28
110
+ 00:02:58,930 --> 00:03:06,270
111
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
112
+
113
+ 29
114
+ 00:03:06,270 --> 00:03:06,730
115
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
116
+
117
+ 30
118
+ 00:03:06,730 --> 00:03:10,390
119
+ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ
120
+
121
+ 31
122
+ 00:03:10,390 --> 00:03:11,010
123
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
124
+
125
+ 32
126
+ 00:03:11,010 --> 00:03:11,070
127
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
128
+
129
+ 33
130
+ 00:03:11,070 --> 00:03:11,090
131
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
132
+
133
+ 34
134
+ 00:03:11,090 --> 00:03:12,350
135
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
136
+
137
+ 35
138
+ 00:03:12,350 --> 00:03:12,590
139
+ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ
140
+
141
+ 36
142
+ 00:03:12,590 --> 00:03:16,270
143
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุนุงุฏูŠุฉู‹ ู‡ู†ุงูƒ
144
+
145
+ 37
146
+ 00:03:16,270 --> 00:03:20,570
147
+ ุงุชุฌุงุฑุจูŠู† ุงูˆู„ุฉ ุงุณู…ู‡ุง ุชุฌุงุฑุจ ุชุฌุงุฑุจ ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ุชุฌุงุฑุจ
148
+
149
+ 38
150
+ 00:03:20,570 --> 00:03:22,890
151
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
152
+
153
+ 39
154
+ 00:03:22,890 --> 00:03:22,930
155
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
156
+
157
+ 40
158
+ 00:03:22,930 --> 00:03:22,950
159
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
160
+
161
+ 41
162
+ 00:03:22,950 --> 00:03:23,030
163
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
164
+
165
+ 42
166
+ 00:03:23,030 --> 00:03:23,230
167
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
168
+
169
+ 43
170
+ 00:03:41,900 --> 00:03:45,740
171
+ ู…ุฐูƒุฑุฉ ู‚ุฑูŠุจุฉ ู„ู€ Critical Value Approach ู‡ู†ุงูƒ ุซู„ุงุซุฉ
172
+
173
+ 44
174
+ 00:03:45,740 --> 00:03:51,840
175
+ ุญุงู„ุงุช ุชูˆุชูŠู„ุช ุชูˆุชูŠู„ุช
176
+
177
+ 45
178
+ 00:03:51,840 --> 00:03:58,240
179
+ ุชุณุช ุชูˆุชูŠู„ุช ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุชูƒู„ู… ุนู† ู…ูŠูˆ ู„ุง ูŠู…ูŠุฒ ู‚ูŠู…ุฉ
180
+
181
+ 46
182
+ 00:03:58,240 --> 00:04:04,660
183
+ ุชุงุฑูŠุฎูŠุฉ ุฃูˆ ู‚ูŠู…ุฉ ุชุฎูŠู‘ุฑ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู‚ูŠู…ุฉ ุชุฎูŠู‘ุฑ
184
+
185
+ 47
186
+ 00:04:04,660 --> 00:04:11,440
187
+ ู‡ุฐู‡ ุชุฎูŠู‘ุฑูŠุฉ ุชุณู…ู‰ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ุณุชุฎุฏู… ู‡ุฐุง ู…ุณุชุฎุฏู…
188
+
189
+ 48
190
+ 00:04:14,880 --> 00:04:19,500
191
+ ุงู„ุงู† ู„ู€ 2TL ู„ุฏูŠู†ุง ู…ูŠูˆ ู„ุง ูŠู‚ู„ ู…ูŠูˆ ุฒุฑุน ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
192
+
193
+ 49
194
+ 00:04:19,500 --> 00:04:24,940
195
+ ู‡ู†ุงูƒ ุงุซู†ูŠู† ู‚ูŠู…ุงุช ู…ู‡ู…ุฉ ูˆุงุญุฏุฉ
196
+
197
+ 50
198
+ 00:04:24,940 --> 00:04:30,180
199
+ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ูŠุณุฑู‰ ูˆุงู„ุงุฎุฑ ุนู„ู‰ ุงู„ูŠุณุงุฑ
200
+
201
+ 51
202
+ 00:04:32,920 --> 00:04:35,120
203
+ ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูˆุงู†ูŠู† ู‡ูŠ ู†ูุณู‡ุงุŒ ุฃุนู†ูŠ ู„ุฏูŠู‡ุง ู‚ูŠู…ุฉ
204
+
205
+ 52
206
+ 00:04:35,120 --> 00:04:39,020
207
+ ู†ูุณู‡ุง ูˆู„ูƒู† ููŠ ุงู„ุงุชุฌุงู‡ ุงู„ุชุนุฑูŠู ุŒ ู„ุฐู„ูƒ ูˆุงุญุฏ ู…ูˆุฌูˆุฏ
208
+
209
+ 53
210
+ 00:04:39,020 --> 00:04:43,140
211
+ ูˆุงู„ุขุฎุฑ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู†ู‚ู„ูŠ ุŒ ูุฅู†ู†ุง ู†ุนุชู‚ุฏ ุฃู† ุงู„ู ุฃุนุทู‰
212
+
213
+ 54
214
+ 00:04:43,140 --> 00:04:49,960
215
+ ูˆ ุงู„ู ุงุฐุง ูƒู†ุช ุชุชุฐูƒุฑ ุงู„ู ุงู„ู ู‡ูˆ ู…ุฑุชูุน ู…ุฑุชูุน
216
+
217
+ 55
218
+ 00:04:52,340 --> 00:04:55,600
219
+ of significance and we mentioned last time alpha
220
+
221
+ 56
222
+ 00:04:55,600 --> 00:04:58,480
223
+ is a probability of type one error and we
224
+
225
+ 57
226
+ 00:04:58,480 --> 00:05:02,720
227
+ mentioned type one error is rejected zero when it
228
+
229
+ 58
230
+ 00:05:02,720 --> 00:05:06,200
231
+ is true so alpha is a probability of type one
232
+
233
+ 59
234
+ 00:05:06,200 --> 00:05:09,680
235
+ error it means alpha probability of rejecting zero
236
+
237
+ 60
238
+ 00:05:09,680 --> 00:05:13,580
239
+ when in fact zero is true ุงุฐุง alpha ุนุจุงุฑุฉ ุนู† ู…ุณุชูˆู‰
240
+
241
+ 61
242
+ 00:05:13,580 --> 00:05:16,780
243
+ ุงู„ู…ุนู†ูˆูŠุฉ ูˆู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู†
244
+
245
+ 62
246
+ 00:05:16,780 --> 00:05:20,400
247
+ ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงุญุชู…ุงู„ ุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ
248
+
249
+ 63
250
+ 00:05:20,400 --> 00:05:28,850
251
+ ุตุญูŠุญุฉุงู„ุฃู„ู ูŠุชู… ุฅุนุทุงุฆู‡ุง ุจุณุจุจ ุฃู†ู‡ุง ู…ุฑุชุจุทุฉ ู†ุญู† ู„ุฏูŠู†ุง
252
+
253
+ 64
254
+ 00:05:28,850 --> 00:05:32,450
255
+ ู…ุฑุชุจุทุงุช ุนุงู…ุฉ ู…ุฑุชุจุทุฉ ุญูˆู„ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ู„ุฐู„ูƒ ุฃู„ู ุฃูƒุชุฑ ู…ู†
256
+
257
+ 65
258
+ 00:05:32,450 --> 00:05:37,110
259
+ 2 ุฅู„ู‰ ุงู„ุฌุงู†ุจ ูˆ ุฃูŠุถู‹ุง ุฃู„ู ุฃูƒุชุฑ ู…ู† 2 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู†
260
+
261
+ 66
262
+ 00:05:37,110 --> 00:05:43,210
263
+ ู†ุบู… Z ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุงุก ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุงุก ู‡ูŠ
264
+
265
+ 67
266
+ 00:05:43,210 --> 00:05:50,810
267
+ ู…ู†ุทู‚ุฉ
268
+
269
+ 68
270
+ 00:05:50,810 --> 00:05:58,700
271
+ ุนุฏู… ุบูู„ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจุงู‚ู‡ Z ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจุงู‚ู‡ Z
272
+
273
+ 69
274
+ 00:05:58,700 --> 00:06:08,360
275
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุงุช ุชุณู…ู‰ ุจู€ Rejection Regions ุฅุฐุง ูƒุงู†ุช
276
+
277
+ 70
278
+ 00:06:08,360 --> 00:06:13,380
279
+ ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2
280
+
281
+ 71
282
+ 00:06:13,380 --> 00:06:17,200
283
+ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน
284
+
285
+ 72
286
+ 00:06:17,200 --> 00:06:19,800
287
+ Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน Rejection
288
+
289
+ 73
290
+ 00:06:19,800 --> 00:06:21,900
291
+ Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง
292
+
293
+ 74
294
+ 00:06:21,900 --> 00:06:22,060
295
+ ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ
296
+
297
+ 75
298
+ 00:06:22,060 --> 00:06:22,220
299
+ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน
300
+
301
+ 76
302
+ 00:06:22,220 --> 00:06:30,540
303
+ Rejection Regionsู‡ุฐุง ุนุงูŠุฒู†ุง ุฃู† ู‡ุฐุง a part b if mu
304
+
305
+ 77
306
+ 00:06:30,540 --> 00:06:35,380
307
+ greater than mu 0 this is called one-tailed test I
308
+
309
+ 78
310
+ 00:06:35,380 --> 00:06:37,620
311
+ mean upper tail because we are talking about mu
312
+
313
+ 79
314
+ 00:06:37,620 --> 00:06:41,700
315
+ greater than so mu greater than it means the area
316
+
317
+ 80
318
+ 00:06:41,700 --> 00:06:49,900
319
+ to the right so this is just alpha so
320
+
321
+ 81
322
+ 00:06:49,900 --> 00:06:53,700
323
+ this is the rejection regionูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฑูˆุญูŠุฉ
324
+
325
+ 82
326
+ 00:06:53,700 --> 00:06:59,180
327
+ ู…ุฌุฏุฏุง ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† Z ู‡ูŠ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
328
+
329
+ 83
330
+ 00:06:59,180 --> 00:07:00,440
331
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
332
+
333
+ 84
334
+ 00:07:00,440 --> 00:07:02,460
335
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
336
+
337
+ 85
338
+ 00:07:02,460 --> 00:07:03,680
339
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
340
+
341
+ 86
342
+ 00:07:03,680 --> 00:07:05,380
343
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
344
+
345
+ 87
346
+ 00:07:05,380 --> 00:07:05,440
347
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
348
+
349
+ 88
350
+ 00:07:05,440 --> 00:07:20,540
351
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
352
+
353
+ 89
354
+ 00:07:24,400 --> 00:07:30,460
355
+ ู‡ุฐุง ู‡ูˆ ุงู„ุชุฌุงุฑุจ ุงู„ุฑุฆูŠุณูŠุฉ ู„ู„ู‚ูŠู… ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ู‡ุฐู‡
356
+
357
+ 90
358
+ 00:07:30,460 --> 00:07:38,140
359
+ ุงู„ู‚ูŠู… ุจุงุณุชุฎุฏุงู… ุงู„ุงุณู…ุชุญุฑุฑ ุงู„ู‚ูŠู… ุงู„ู…ู‡ู…ุฉ ุจุงู„ู‚ูŠู… ู„ุฌู‡ุฉ
360
+
361
+ 91
362
+ 00:07:38,140 --> 00:07:43,080
363
+ ู…ุนุฑูˆูุฉ ู…ุซู„ู…ุง ุฐูƒุฑู†ุงู‡ุง ู‚ุจู„ ุจุงุณุชุฎุฏุงู… ูƒุชุงุจุฉ Z ุฃูˆ
364
+
365
+ 92
366
+ 00:07:43,080 --> 00:07:47,220
367
+ ุจุงุณุชุฎุฏุงู… ุตูุญุฉ ุงู„ูƒู…ุจูŠูˆุชุฑ ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู†ุณุชุฎุฏู… ูู‚ุท
368
+
369
+ 93
370
+ 00:07:47,220 --> 00:07:52,220
371
+ ุงู„ูƒุชุงุจุฉ ุงู„ุชุงู„ูŠุฉ ู‡ูŠ ุงู„ู…ูˆุถูˆุน ุงู„ู…ู‡ู… ุฌุฏู‹ุง ู‡ู†ุง ู‚ุฑุงุฑ
372
+
373
+ 94
374
+ 00:07:52,220 --> 00:07:59,480
375
+ ุงู„ุฎุทูˆุท ู‚ุฑุงุฑ
376
+
377
+ 95
378
+ 00:07:59,480 --> 00:08:04,590
379
+ ุงู„ุฎุทูˆุท ูƒูŠู ู†ู‚ุฑุฑ ุงู† ู†ู‚ุฑุฑ ุงูˆ ู„ุง ู†ู‚ุฑุฑุฅุฐุง ูƒุชุงุจุฉ
380
+
381
+ 96
382
+ 00:08:04,590 --> 00:08:09,390
383
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ
384
+
385
+ 97
386
+ 00:08:09,390 --> 00:08:12,490
387
+ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ูุฅู† ุงู„ุงุฎุชุจุงุฑ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ู‚ุทุฉ
388
+
389
+ 98
390
+ 00:08:12,490 --> 00:08:18,250
391
+ ุฃุฒุฑุน ุจุนุฏ ุฃู† ุชู‚ูˆู… ุจุชู†ุจูŠู‡ ู‡ุฐู‡ ุงู„ูƒุชุงุจุฉ ุงู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง Z
392
+
393
+ 99
394
+ 00:08:18,250 --> 00:08:21,110
395
+ ูู‡ูˆ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุŸ ุฅุฐุง ูƒุชุงุจุฉ
396
+
397
+ 100
398
+ 00:08:21,110 --> 00:08:21,750
399
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุง ูƒุชุงุจุฉ
400
+
401
+ 101
402
+ 00:08:21,750 --> 00:08:26,150
403
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุง ูƒุชุงุจุฉ
404
+
405
+ 102
406
+ 00:08:26,150 --> 00:08:36,260
407
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠin the rejection region then
408
+
409
+ 103
410
+ 00:08:36,260 --> 00:08:43,740
411
+ we reject H0 otherwise we don't reject or we fail
412
+
413
+ 104
414
+ 00:08:43,740 --> 00:08:51,500
415
+ to reject H0 ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุณู‡ู„ ุจุญุณุจ ุงู„ Z statistic ู…ู†
416
+
417
+ 105
418
+ 00:08:51,500 --> 00:08:56,840
419
+ chapter 7 ุจุญุณุจ ุงู„ critical values ู‡ุฏูˆู„ ูˆ ุจุญุฏุฏ ุงู„
420
+
421
+ 106
422
+ 00:08:56,840 --> 00:09:03,110
423
+ regions ู…ู† chapter ูˆูŠู†ุŸ chapter 6ู…ุด ุจุณุชุฎุฏู… ุงู„ุณุชุฉ
424
+
425
+ 107
426
+ 00:09:03,110 --> 00:09:06,650
427
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุงู„ุช ุณุจุนุฉ ุฃูˆ ุณุชุฉ chapter ุชุณุนุฉ ุจุณ ุญูƒู‰
428
+
429
+ 108
430
+ 00:09:06,650 --> 00:09:09,910
431
+ ู…ุนู„ูˆู…ุงุช ุฒูŠุงุฏุฉ ุฌุฏูŠุฏุฉ ุงู„ decision rule ุจูŠุญูƒูŠ ุฅุฐุง
432
+
433
+ 109
434
+ 00:09:09,910 --> 00:09:13,370
435
+ ูƒุงู†ุช ุฒูŠ ุงู„ statistic falls in the rejection region
436
+
437
+ 110
438
+ 00:09:13,370 --> 00:09:15,570
439
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„ู‰ ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูˆ ุฃู‚ู„ ู…ู†
440
+
441
+ 111
442
+ 00:09:15,570 --> 00:09:19,430
443
+ ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ then reject ุฅุฐุง ูƒุงู†ุช upper tail ุฅุฐุง
444
+
445
+ 112
446
+ 00:09:19,430 --> 00:09:24,310
447
+ ูƒุงู†ุช ู‡ู†ุง ูŠุนู†ูŠ ุฒูŠ ุฃูƒุจุฑ ุฅุฐุง ูƒุงู†ุช lower tail ุชูƒูˆู†
448
+
449
+ 113
450
+ 00:09:24,310 --> 00:09:27,330
451
+ ุฃุตุบุฑ then in this case we reject otherwise we
452
+
453
+ 114
454
+ 00:09:27,330 --> 00:09:32,170
455
+ don't rejectุฎุตูˆุตู‹ุงุŒ ู‡ู†ุงูƒ ุณุช ุฎุทูˆุงุช ููŠ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
456
+
457
+ 115
458
+ 00:09:32,170 --> 00:09:39,870
459
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฉ ููŠ ุณุช ุฎุทูˆุงุช ู„ู„ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
460
+
461
+ 116
462
+ 00:09:39,870 --> 00:09:41,410
463
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฉ ุงู„ุญูŠูˆุงู†ูŠ ุฃู…ุดูŠ ุนู„ูŠู‡ู… ูˆุงุญุฏ ุนู„ู‰ ูˆุงุญุฏ
464
+
465
+ 117
466
+ 00:09:41,410 --> 00:09:46,830
467
+ ุงู„ุฃูˆู„ ู‡ูˆ ุงู„ู€ null and alternative hypothesis ุฃูƒุชุจ
468
+
469
+ 118
470
+ 00:09:46,830 --> 00:09:52,930
471
+ H0 ูˆH1 ุทุจุนุง ุจูƒุชุจูˆุง ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ู…ุซู„ุฉ ู†ูุณู‡ุงุŒ ุฅู…ุง ู‡ู…
472
+
473
+ 119
474
+ 00:09:52,930 --> 00:09:59,580
475
+ ู…ูุนุฑูˆููŠู† ู…ุจุงุดุฑุฉุฃูˆ ูŠุฌุจ ุฃู† ุชูุชุญ ูƒูŠููŠุฉ ุชุฎุทูŠุท ุงู„ู€ null
476
+
477
+ 120
478
+ 00:09:59,580 --> 00:10:03,300
479
+ and alternative hypothesis ุจุงุณุชุฎุฏุงู… ุงู„ู…ุดูƒู„ุฉ ู†ูุณู‡ุง
480
+
481
+ 121
482
+ 00:10:03,300 --> 00:10:06,580
483
+ ูŠุง ุฅู…ุง ู…ู† ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุจุชุงุนุชูƒูŠ ู…ู† ุฌุงู‡ุฒูŠู† ุฃูˆ ุฃู†ุช
484
+
485
+ 122
486
+ 00:10:06,580 --> 00:10:13,380
487
+ ู„ุญุงู„ูƒ ุจุฏูƒ ุชุนุฑููŠ ูƒูŠู ุงูƒุชุจู‡ุง ู…ู† ุฎู„ุงู„ ุตูŠุบุฉ ุงู„ู…ุซู„ุฉ ุฅุฐุง
488
+
489
+ 123
490
+ 00:10:13,380 --> 00:10:18,220
491
+ ูˆุงุญุฏ ู…ู‡ู…ุฉ number two choose the level of
492
+
493
+ 124
494
+ 00:10:18,220 --> 00:10:23,640
495
+ significance alpha ุทุจุนุง ุงู„ alpha is given usually
496
+
497
+ 125
498
+ 00:10:25,450 --> 00:10:29,710
499
+ ู†ุณุชุฎุฏู… ุฃู„ูุฉ ู„ุชูƒูˆู† 5% ูˆุฅู„ุง ูุงู„ุฃู„ูุฉ ุณุชูƒูˆู† ู…ุณุชุฎุฏู…ุฉ
500
+
501
+ 126
502
+ 00:10:29,710 --> 00:10:35,090
503
+ ุฅุฐุง ู„ู… ูŠูƒู† ุฃู„ูุฉ ู…ุณุชุฎุฏู…ุฉ ูุงุณุชุฎุฏู… ูู‚ุท ุฃู„ูุฉ 5% ูŠุนู†ูŠ
504
+
505
+ 127
506
+ 00:10:35,090 --> 00:10:39,690
507
+ ู„ูˆ ุฃู„ูุฉ ู…ุด ู…ุนุทูˆุจุฉ ูˆู…ุนุทุงู ุงู„ู…ุซู„ุฉ ุจุณุชุฎุฏู… ุฎู…ุณุฉ ููŠ
508
+
509
+ 128
510
+ 00:10:39,690 --> 00:10:46,770
511
+ ุงู„ู…ูŠุฉ ู„ูƒู† ู„ูˆ ุฃุนุทุงู†ูŠ ุชู„ุงุชุฉ ุงุชู†ูŠู† ูˆุงุญุฏ ุจุณุชุฎุฏู…ู‡ู… ุฅุฐุง
512
+
513
+ 129
514
+ 00:10:46,770 --> 00:10:52,150
515
+ ู†ุฎุชุงุฑ ู…ุฑุชูุน ุฃู„ูุฉ ูˆู…ุนุฏู„ ุตู…ูŠู… N ุทุจุนุง ุงู„ N ู…ุณุชุฎุฏู…
516
+
517
+ 130
518
+ 00:10:52,150 --> 00:10:54,030
519
+ ู„ู…ุนุฏู„ ุตู…ูŠู…
520
+
521
+ 131
522
+ 00:10:57,730 --> 00:11:00,610
523
+ determine the appropriate test statistic and
524
+
525
+ 132
526
+ 00:11:00,610 --> 00:11:03,730
527
+ sampling distribution ู…ู‡ู… ุฌุฏุง ุจุชุนุฑู ู…ู† ุงู„ test
528
+
529
+ 133
530
+ 00:11:03,730 --> 00:11:07,150
531
+ statistic the appropriate one if sigma is known
532
+
533
+ 134
534
+ 00:11:07,150 --> 00:11:11,530
535
+ today we are talking about sigma is given so my z
536
+
537
+ 135
538
+ 00:11:11,530 --> 00:11:15,110
539
+ statistic is this one my test statistic is this
540
+
541
+ 136
542
+ 00:11:15,110 --> 00:11:19,510
543
+ one ุงุฐุง ู‡ู†ุง ู‡ุฐู‡ ุงู„ู…ู‡ู…ุฉ ุจุชุญุฏุฏ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ู†ุงุณุจ ุงู„ู„ูŠ
544
+
545
+ 137
546
+ 00:11:19,510 --> 00:11:22,570
547
+ ู‡ูˆ ุงู„ appropriate test statistic in this case we
548
+
549
+ 138
550
+ 00:11:22,570 --> 00:11:25,850
551
+ have only one test so far ู…ุงุนู†ุงุด ุงู„ุงุฎุชุจุงุฑ ูˆุงุญุฏ ุญุชู‰
552
+
553
+ 139
554
+ 00:11:25,850 --> 00:11:29,700
555
+ ู„ุงู† ุดุงูŠูู‡ูˆ Z-test ู„ูƒู† ู„ู‚ุงุก ุงู„ุฌุงูŠ .. ู„ู‚ุงุก ุงู„ุฌุงูŠ
556
+
557
+ 140
558
+ 00:11:29,700 --> 00:11:33,720
559
+ ู‡ูƒูˆู† ููŠู‡ test ุฌุฏูŠุฏ ู„ู…ุง ู†ุฏุฎู„ ุนู„ู‰ chapter 10 ู‡ูŠูƒูˆู†
560
+
561
+ 141
562
+ 00:11:33,720 --> 00:11:38,220
563
+ test ุฌุฏูŠุฏุฉ ุจุชุงุน ู‡ุงุฎุฏุฑ ู…ู†ู‡ู… ู„ุงุฎุชุจุงุฑ ุงู„ู…ู†ุงุณุจ ู„ูƒู†
564
+
565
+ 142
566
+ 00:11:38,220 --> 00:11:42,740
567
+ ุจู†ุณุฃู„ ู„ู‚ุงุก ุงู„ูŠูˆู… ู…ุงููŠุด ุงู„ุง test ูˆุงุญุฏ ุทุงู„ู…ุง ุฃุชูƒู„ู…
568
+
569
+ 143
570
+ 00:11:42,740 --> 00:11:46,620
571
+ ู…ุน ุนู„ู…ูŠู† ูˆ ุงู„ sigma is unknown ุจุณุชุฎุฏู… ุงู„ Z
572
+
573
+ 144
574
+ 00:11:46,620 --> 00:11:53,720
575
+ statistic ุฑู‚ู… ุฃุฑุจุนุฉ determine the critical values
576
+
577
+ 145
578
+ 00:11:53,720 --> 00:11:59,530
579
+ ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„ุญูƒูŠู†ุง ุนู†ู‡ุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุฑุฉ that
580
+
581
+ 146
582
+ 00:11:59,530 --> 00:12:01,790
583
+ divide the rejection and non rejection regions
584
+
585
+ 147
586
+ 00:12:01,790 --> 00:12:06,470
587
+ ุงู„ู„ูŠ ู‡ูŠ ุจุชู‚ุณู… ู„ู…ู†ุทู‚ุชูŠู† ู‡ูŠ normal curve underneath
588
+
589
+ 148
590
+ 00:12:06,470 --> 00:12:12,090
591
+ the curve z critical values split the curve into
592
+
593
+ 149
594
+ 00:12:12,090 --> 00:12:16,250
595
+ two regions one is called non rejection and other
596
+
597
+ 150
598
+ 00:12:16,250 --> 00:12:19,610
599
+ rejection regions for two TL there are two
600
+
601
+ 151
602
+ 00:12:19,610 --> 00:12:22,490
603
+ rejection regions to the right and to the leftfor
604
+
605
+ 152
606
+ 00:12:22,490 --> 00:12:26,190
607
+ upper tail there is only one to the right and same
608
+
609
+ 153
610
+ 00:12:26,190 --> 00:12:29,390
611
+ for left tail there is only one to the left ุฅุฐุง ููŠ
612
+
613
+ 154
614
+ 00:12:29,390 --> 00:12:33,970
615
+ ุนู†ุฏูƒ ู…ู†ุทู‚ุชูŠู† ููŠ ุงู„ two-tailed ูˆู…ู†ุทู‚ุฉ ุนุงู„ูŠู…ูŠู† ููŠ ุงู„
616
+
617
+ 155
618
+ 00:12:33,970 --> 00:12:38,450
619
+ upper ูˆู…ู†ุทู‚ุฉ ุนุงู„ุดู…ุงู„ ููŠ ุงู„ lower ุฅุฐุง ุญุฏุฏุช ุงู„
620
+
621
+ 156
622
+ 00:12:38,450 --> 00:12:43,210
623
+ critical values number five collect data and
624
+
625
+ 157
626
+ 00:12:43,210 --> 00:12:47,590
627
+ compute the value of the statistic ุงุญุณุจ ุงุฌู…ุน ุงู„
628
+
629
+ 158
630
+ 00:12:47,590 --> 00:12:51,560
631
+ data ุทุจุนุง ุงู„ data ู‡ุชูƒูˆู† ุนู†ุฏ ุงู„ givenุจุณ ู‡ุญุณุจ ุงู„
632
+
633
+ 159
634
+ 00:12:51,560 --> 00:12:56,300
635
+ test ุงู„ statistic ู…ุน ูƒุฏู‡ we can merge five ู…ู…ูƒู†
636
+
637
+ 160
638
+ 00:12:56,300 --> 00:13:01,480
639
+ ุงุฏู…ุฌ ุฎู…ุณุฉ ู…ุน ุชู„ุงุชุฉ ู„ูˆ ุชู„ุงุชุฉ ุจูŠุญูƒูŠ determined
640
+
641
+ 161
642
+ 00:13:01,480 --> 00:13:07,100
643
+ appropriate statistic ุจุญุฏุฏู‡ ู‡ูŠู‡ ูˆ ุจุญุณุจู‡ ู„ุฐู„ูƒ ุชู„ุงุชุฉ
644
+
645
+ 162
646
+ 00:13:07,100 --> 00:13:11,500
647
+ ุฃูˆ ุฎู…ุณุฉ ุงุถูŠูู‡ู… ุงูˆ ุงุฏู…ุฌู‡ู… ู…ุน ุจุนุถ ุฑู‚ู… ุณุชุฉ ู…ู‡ู…ุฉ ู„ูŠุง
648
+
649
+ 163
650
+ 00:13:11,500 --> 00:13:14,900
651
+ make the statistical decision and state the
652
+
653
+ 164
654
+ 00:13:14,900 --> 00:13:18,660
655
+ managerial conclusion ู…ู‡ู… ุดุบู„ุชูŠู† ู„ุงู† ููŠ ุนู†ุฏูŠ ุงุนุทูŠ
656
+
657
+ 165
658
+ 00:13:18,660 --> 00:13:25,170
659
+ ุงู„ู‚ุฑุงุฑุงู„ุญุตุงุฆูŠ ุงู„ statistical decision ุจุนุฏูŠู† ุงูƒุชุจ
660
+
661
+ 166
662
+ 00:13:25,170 --> 00:13:29,270
663
+ conclusion ู†ุณู…ูŠู‡ managerial conclusion ุงู„ู‚ุฑุงุฑ
664
+
665
+ 167
666
+ 00:13:29,270 --> 00:13:33,230
667
+ ูƒุงู„ุงุชู‡ if the test statistics falls in the
668
+
669
+ 168
670
+ 00:13:33,230 --> 00:13:36,750
671
+ rejection region then we reject otherwise we don't
672
+
673
+ 169
674
+ 00:13:36,750 --> 00:13:40,110
675
+ ุงุฐุง if the test falls into the non rejection
676
+
677
+ 170
678
+ 00:13:40,110 --> 00:13:43,610
679
+ region we don't reject on the hypothesis ูŠุนู†ูŠ ุงุฐุง
680
+
681
+ 171
682
+ 00:13:43,610 --> 00:13:48,690
683
+ ูˆู‚ุน ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุจูŠุถุฉู†ุญู† ู„ุง ู†ุชูุฑุฌ ุฅุฐุง ูˆู‚ุน ููŠ
684
+
685
+ 172
686
+ 00:13:48,690 --> 00:13:51,450
687
+ ุงู„ .. to the right ุฃูˆ to the left it depends ู†ุญู†
688
+
689
+ 173
690
+ 00:13:51,450 --> 00:13:55,650
691
+ ู†ุชูุฑุฌ ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชุชุณู„ู‚ ุฅู„ู‰ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชูุฑุฌูŠุฉ
692
+
693
+ 174
694
+ 00:13:55,650 --> 00:14:00,530
695
+ ู†ุชูุฑุฌ ู…ู† ุงู„ู€ null hypothesis ู‡ุฐุง ุงู„ู‚ุฑุงุฑ ุจุนุฏูŠู†
696
+
697
+ 175
698
+ 00:14:00,530 --> 00:14:03,410
699
+ express the managerial conclusion in the context
700
+
701
+ 176
702
+ 00:14:03,410 --> 00:14:08,210
703
+ of the problem ุชุจู‚ู‰ ููŠ ุณูŠุงู‚ุฉ ุงู„ู…ุซู„ุฉ ุฅุฐุง ู‡ูŠ six
704
+
705
+ 177
706
+ 00:14:08,210 --> 00:14:11,590
707
+ steps ู…ู† ุงู„ุฃูˆู„ state null and alternative
708
+
709
+ 178
710
+ 00:14:11,590 --> 00:14:15,660
711
+ hypothesis this must be givenุฃูˆ ูŠุฌุจ ุฃู† ุชุชุนุฑู ุนู„ู‰
712
+
713
+ 179
714
+ 00:14:15,660 --> 00:14:20,140
715
+ ูƒูŠููŠุฉ ุฅุฎุชูŠุงุฑ ุงู„ู€ null ุจุงุณุชุฎุฏุงู… ู…ุดูƒู„ุฉ ุงู„ูƒู„ุงู… ุงุฎุชุงุฑ
716
+
717
+ 180
718
+ 00:14:20,140 --> 00:14:24,500
719
+ ุงู„ูุง ุงู„ูุง ุงู„ุนุงุฏู„ ู‡ูˆ 5% ุฅู„ุง ุฃู†ู†ูŠ ุณุฃุฐูƒุฑ ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง
720
+
721
+ 181
722
+ 00:14:24,500 --> 00:14:31,920
723
+ ู„ู… ูŠูƒู† ุงู„ูุง 5% ุณู…ูƒุฉ ุงู„ู…ุฌู…ูˆุนุฉ ุณูŠุชู… ุฅุนุทุงุฆู‡ุง ุชุญุฑูŠุฑ
724
+
725
+ 182
726
+ 00:14:31,920 --> 00:14:36,320
727
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ูˆุถุน ุงู„ู„ูŠ ู„ุฏูŠู†ุง ุฅุฐุง ูƒู†ุง
728
+
729
+ 183
730
+ 00:14:36,320 --> 00:14:42,120
731
+ ู†ุชูƒู„ู… ุนู† ุชุฌุงุฑุจู„ู„ู…ุนู†ู‰ ูˆุฅู† ุณูŠุฌู…ุง ุบูŠุฑ ู…ุนุฑูˆู ุงู†ุง ุฃุณู
732
+
733
+ 184
734
+ 00:14:42,120 --> 00:14:47,380
735
+ ุฅุฐุง ูƒุงู† ุณูŠุฌู…ุง ู…ุนุฑูˆูู‹ุง ุซู… ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุซู…
736
+
737
+ 185
738
+ 00:14:47,380 --> 00:14:50,580
739
+ ู†ู‚ุฑุฑ ุงู„ู‚ูŠู… ุงู„ู…ู‡ู…ุฉ ูƒู…ุง ุฐูƒุฑู†ุง ูˆู†ู‚ุฑุฑ ุงู„ู…ู†ุทู‚ุงุช
740
+
741
+ 186
742
+ 00:14:50,580 --> 00:14:55,500
743
+ ุงู„ู…ูุงุฌุฆุฉ ูˆู„ู…ูุงุฌุฆุฉ ูˆู†ู‚ุฑุฑ
744
+
745
+ 187
746
+ 00:14:55,500 --> 00:15:02,560
747
+ ู‚ูŠู… ุงู„ุจูŠุงู†ุงุช ูƒู…ุง ุฐูƒุฑู†ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌู…ุน ุฎู…ุณุงู„ุซู„ุงุซ ููŠ
748
+
749
+ 188
750
+ 00:15:02,560 --> 00:15:08,060
751
+ ู†ูุณ ุงู„ู…ุฑุญู„ุฉ ูˆ ุฃุฎูŠุฑู‹ุง ุชุญุตู„ ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ ุงู„ุณูŠุงุณูŠุฉ ูˆ
752
+
753
+ 189
754
+ 00:15:08,060 --> 00:15:12,620
755
+ ุชุญุตู„ ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ ุงู„ูˆุทู†ูŠุฉ ุณุฃุนุทูŠ
756
+
757
+ 190
758
+ 00:15:12,620 --> 00:15:17,960
759
+ ู…ุซุงู„ ูˆุงุญุฏ ู…ุซู„ ู…ุง ู‚ู…ู†ุง ุจู‡ ู…ู† ู‚ุจู„ ููŠ ู‡ุฐุง ุงู„ู…ุซุงู„
760
+
761
+ 191
762
+ 00:15:17,960 --> 00:15:25,020
763
+ ุชุฌุงุฑุจ ุงู„ุงุฎุชุตุงุฑ ุจุฃู† ู…ุฏูุน ุงู„ุจุฑุชู‚ุงู„ ุงู„ูˆุงู‚ุนูŠ 30
764
+
765
+ 192
766
+ 00:15:25,020 --> 00:15:28,460
767
+ ู…ู„ูŠ ู…ุชุฑ ู„ุญุธุฉ ูˆ ุจูŠุญูƒูŠ ุนู„ู‰
768
+
769
+ 193
770
+ 00:15:33,490 --> 00:15:38,110
771
+ ุงู„ู…ูŠู† ู„ู…ุง ุจุญูƒูŠ true mean a true mean in statistics
772
+
773
+ 194
774
+ 00:15:38,110 --> 00:15:42,450
775
+ a true mean in statistics means population mean
776
+
777
+ 195
778
+ 00:15:42,450 --> 00:15:49,190
779
+ ุฎู„ุงุต ุนู… ุจุญูƒูŠ true mean ุจู‚ุตุฏ ุงู„ population mean
780
+
781
+ 196
782
+ 00:15:49,190 --> 00:15:56,970
783
+ ูˆุงุถุญ ูุจุงู„ุชุงู„ูŠ ุจุฎุชุจุฑ ุงู„ mu equality ูˆ
784
+
785
+ 197
786
+ 00:15:56,970 --> 00:16:00,750
787
+ assume sigma is point eight ุงุนุทุงู†ูŠ sigma sigma is
788
+
789
+ 198
790
+ 00:16:00,750 --> 00:16:06,070
791
+ givenุงู„ุงู† ู†ุชูƒู„ู… ุนู† ุงู„ุงุฎุชุจุงุฑ ู„ู€ mean ู…ูŠูˆ ูˆุงู„ุณูŠุฌู…ุง
792
+
793
+ 199
794
+ 00:16:06,070 --> 00:16:15,230
795
+ ู…ุนุฑูˆู ุจู…ุนุฑูุฉ ู…ูŠูˆ ูˆุงู„ุณูŠุฌู…ุง ุจู…ุนุฑูุฉ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
796
+
797
+ 200
798
+ 00:16:15,230 --> 00:16:19,230
799
+ ู…ูŠูˆ
800
+
801
+ 201
802
+ 00:16:19,230 --> 00:16:20,350
803
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
804
+
805
+ 202
806
+ 00:16:20,350 --> 00:16:29,590
807
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
808
+
809
+ 203
810
+ 00:16:29,590 --> 00:16:31,070
811
+ ู…ูŠูˆ
812
+
813
+ 204
814
+ 00:16:33,430 --> 00:16:38,210
815
+ is not 30 ู„ู…ุง ููŠ ู…ุซู„ุฉ ุจุชูƒูˆู†ุด ู…ุนุฑูˆู ุงู„ุงุชุฌุงู‡
816
+
817
+ 205
818
+ 00:16:38,210 --> 00:16:41,390
819
+ ุงู„ู€direction greater or smaller than ุจุณุชุฎุฏู… does
820
+
821
+ 206
822
+ 00:16:41,390 --> 00:16:46,710
823
+ not equal ุทุจุนุงุŒ ูˆุงุถุญุŸ ุงุฐุง ู„ุญุธุฉ ูˆู…ุงุญูƒุงุด ุงุฎุชุจุงุฑ ุงูŠู‡
824
+
825
+ 207
826
+ 00:16:46,710 --> 00:16:50,370
827
+ ู…ูŠูˆ ุณุงูˆุฑุฉ ุชู„ุงุชูŠู† ู…ู‚ุงุจู„ุฉ ุชุณุงูˆูŠ ุญูƒู‰ test that claim
828
+
829
+ 208
830
+ 00:16:50,370 --> 00:16:53,870
831
+ that the true mean diameter equal thirty so ู…ูŠูˆ
832
+
833
+ 209
834
+ 00:16:53,870 --> 00:16:57,850
835
+ equal thirty each one should be ู…ูŠูˆ does not equal
836
+
837
+ 210
838
+ 00:16:57,850 --> 00:17:01,250
839
+ ู„ู…ุง ุฃูƒูˆู† ู…ุด ูˆุงุถุญ ููŠ ุงู„ู…ุซู„ุฉ ุงู„ุงุชุฌุงู‡ ุจุงุฎุฏู‡ุง two
840
+
841
+ 211
842
+ 00:17:01,250 --> 00:17:05,400
843
+ tailed ุชุณ ุนู„ู‰ ุทูˆู„ุŒ ูˆุงุถุญุŸุฅู†ุชุฌุงู‡ ู…ุด ูˆุงุถุญ ุฃูˆ ุชุนู…ู„ู‡ุง
844
+
845
+ 212
846
+ 00:17:05,400 --> 00:17:12,680
847
+ ู„ุง ูŠุณุงูˆูŠ ุฅุฐุงู‹ ู‡ุฐู‡ ุฃูˆู„ ุฎุทูˆุฉ ูƒุชุจุช ุงู„ู€ Null and
848
+
849
+ 213
850
+ 00:17:12,680 --> 00:17:18,460
851
+ Alternate Hypothesis ุณูŠุจุชูˆู† ุชุดุฑูŠุน ู…ุณุชูˆู‰ ุงู„ู…ุนุฑูˆู
852
+
853
+ 214
854
+ 00:17:18,460 --> 00:17:25,920
855
+ ูˆู…ุนุฑูˆู ุงู„ู…ุฌู…ูˆุนุฉ ููŠ ู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง ุฃู„ูุฉ 5% ูˆู…ุนุฑูˆู
856
+
857
+ 215
858
+ 00:17:25,920 --> 00:17:31,820
859
+ ุงู„ู…ุฌู…ูˆุนุฉ 100 ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ุณุชุฎุฏู…ุฉ ูู…ุนุฑูˆู ุงู„ู…ุฌู…ูˆุนุฉ ูŠุฌุจ
860
+
861
+ 216
862
+ 00:17:31,820 --> 00:17:35,780
863
+ ุฃู† ูŠูƒูˆู† ู…ุณุชุฎุฏู…ูˆุงู„ู€ Alpha ุฃูŠุถู‹ุง ู…ูุนุทูŽู‰ุŒ ูุงุนุชุจุงุฑ ุฃู†
864
+
865
+ 217
866
+ 00:17:35,780 --> 00:17:40,400
867
+ ุงู„ู€ Alpha ู‡ูˆ 5% ูˆ N ู‡ูˆ 100 ู…ูุนุทูŽู‰ุŒ ูู‡ูˆ ู…ูุฎุชุงุฑ ู„ู‡ุฐุง
868
+
869
+ 218
870
+ 00:17:40,400 --> 00:17:47,280
871
+ ุงู„ุงุฎุชุจุงุฑุŸ ู‡ู„ ู‡ุคู„ุงุก ุงู„ุฎู…ุณูŠู† ู…ู†ู‡ู… ู…ูุนุทูŽู‰ุŸ ุฑู‚ู… ุซุงู„ุซุŒ
872
+
873
+ 219
874
+ 00:17:47,280 --> 00:17:54,060
875
+ ู‚ุฑุฑ ุงู„ุชู‚ู†ูŠุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู‡ุฐุง ููŠ ุงู„ู‡ูŠุฆุฉ ุงู„ุฃู‡ู…ูŠุฉุŒ ู…ุง ู‡ูŠ
876
+
877
+ 220
878
+ 00:17:54,060 --> 00:18:01,280
879
+ ุงู„ุชู‚ู†ูŠุฉ ุงู„ู…ู†ุงุณุจุฉุŸ ุณูŠุฌู…ุง ู…ุนู„ูˆู…ุฉุŒ ุณูŠุฌู…ุง ู…ุนู„ูˆู…ุฉ ู‡ูŠ 0
880
+
881
+ 221
882
+ 00:18:01,280 --> 00:18:09,830
883
+ .8ู…ุน ูƒุฏู‡ ู‡ุณุชุฎุฏู… Z statistic sigma is none ุงุนุทุงู†ูŠ 0
884
+
885
+ 222
886
+ 00:18:09,830 --> 00:18:17,790
887
+ .8 ุงุฐุง ุจุณุชุฎุฏู… Z step step four determine the
888
+
889
+ 223
890
+ 00:18:17,790 --> 00:18:22,110
891
+ critical values in this problem alpha is five
892
+
893
+ 224
894
+ 00:18:22,110 --> 00:18:25,010
895
+ percent so the area to the right is zero to five
896
+
897
+ 225
898
+ 00:18:25,010 --> 00:18:31,760
899
+ to the left sameู„ุฃุฎุฑ ู…ุฑุฉ ู†ุฌุฏ ุฃู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‡ูŠ 196
900
+
901
+ 226
902
+ 00:18:31,760 --> 00:18:37,480
903
+ ูˆ-1.96 ู„ุฐู„ูƒ
904
+
905
+ 227
906
+ 00:18:37,480 --> 00:18:44,820
907
+ ุงู„ู‚ูŠู…ุฉ ุงู„ูƒุฑูŠุทูŠุฉ Z ูƒุฑูŠุทูŠุฉ ุงูˆ
908
+
909
+ 228
910
+ 00:18:44,820 --> 00:18:50,640
911
+ ู†ุณุชุฎุฏู…ู‡ุง ูู‚ุท Z*) ูู‚ุท ู„ูƒูŠ ู†ุนุฑู ุจูŠู† ุงู„ู‚ูŠู…ุฉ Z ูƒุฑูŠุทูŠุฉ
912
+
913
+ 229
914
+ 00:18:50,640 --> 00:18:57,770
915
+ ูˆู‚ูŠู…ุฉ ูƒุฑูŠุทูŠุฉ ูู‚ุท ู†ุณุชุฎุฏู… ู†ุชุงุฆุฌ ู…ุฎุชู„ูุฉู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ
916
+
917
+ 230
918
+ 00:18:57,770 --> 00:19:01,090
919
+ Z statistic ูˆ ุงู„ critical ุนุงู…ู„ุฉ Z star ูˆ Z
920
+
921
+ 231
922
+ 00:19:01,090 --> 00:19:04,350
923
+ critical ุฅุฐุง ูƒุงู† ู„ุฏูŠูƒ ู‚ูŠู…ุฉ ู…ุญุณุจุฉ ู„ู„ุงุฎุชุจุงุฑ ูˆ ู‚ูŠู…ุฉ
924
+
925
+ 232
926
+ 00:19:04,350 --> 00:19:11,610
927
+ ู…ุทู„ุนุฉ ู…ู† ุงู„ุฌุฏูˆู„ add equal plus or minus 196 step
928
+
929
+ 233
930
+ 00:19:11,610 --> 00:19:15,350
931
+ 5 collect data and compute that statistic for this
932
+
933
+ 234
934
+ 00:19:15,350 --> 00:19:20,010
935
+ problem as we mentioned N is a hundred X bar
936
+
937
+ 235
938
+ 00:19:20,010 --> 00:19:27,220
939
+ suppose 29.84ุงู„ู€ Sigma ู‡ูˆ 0.8 ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ุงู„ู‡ู…
940
+
941
+ 236
942
+ 00:19:27,220 --> 00:19:33,000
943
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
944
+
945
+ 237
946
+ 00:19:33,000 --> 00:19:35,040
947
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
948
+
949
+ 238
950
+ 00:19:35,040 --> 00:19:35,420
951
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
952
+
953
+ 239
954
+ 00:19:35,420 --> 00:19:39,080
955
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
956
+
957
+ 240
958
+ 00:19:39,080 --> 00:19:51,040
959
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆ
960
+
961
+ 241
962
+ 00:19:54,210 --> 00:19:58,430
963
+ Equal X bar minus Mu over Sigma over square root
964
+
965
+ 242
966
+ 00:19:58,430 --> 00:20:02,070
967
+ of N Straight
968
+
969
+ 243
970
+ 00:20:02,070 --> 00:20:06,130
971
+ forward computations will give the value of this
972
+
973
+ 244
974
+ 00:20:06,130 --> 00:20:15,710
975
+ state X bar is 29.84 minus Mu this Mu is given Mu
976
+
977
+ 245
978
+ 00:20:15,710 --> 00:20:21,790
979
+ is 30 over
980
+
981
+ 246
982
+ 00:20:21,790 --> 00:20:23,090
983
+ Sigma 0.8
984
+
985
+ 247
986
+ 00:20:26,190 --> 00:20:36,810
987
+ ูˆู‡ุฐุง ุณูŠุนุทูŠ ุฃู‚ู„ ู…ู† 2 ู‡ุฐุง ู‡ูˆ Z-Stat ูู‚ูŠู…ุฉ
988
+
989
+ 248
990
+ 00:20:36,810 --> 00:20:46,370
991
+ Z-Stat ู‡ูŠ ุฃู‚ู„ ู…ู† 2 ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ
992
+
993
+ 249
994
+ 00:20:46,370 --> 00:20:52,290
995
+ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุตุฉุŸ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุตุฉ ุงู„ุชูŠ ู‚ู…ู†ุง
996
+
997
+ 250
998
+ 00:20:52,290 --> 00:21:01,740
999
+ ุจุชุฎู„ุตู‡ุง ุจุงุณุชุฎุฏุงู… ู‚ูŠู…ุฉ ูƒุฑู‡ูŠุฉู…ู‚ุงุฑู†ุฉ ู…ู† 196 ุงูˆ ุงู‚ู„ ู…ู†
1000
+
1001
+ 251
1002
+ 00:21:01,740 --> 00:21:08,900
1003
+ ู†ู‚ู„ 1.96 ุงุนู†ูŠ ุงู†ู†ุง ู†ู†ุฌุญ ุงุฐุง ู‚ูŠู…ุฉ ุฒูŠ ู…ูˆุฌูˆุฏุฉ ููŠ
1004
+
1005
+ 252
1006
+ 00:21:08,900 --> 00:21:12,560
1007
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุงูˆ ุงู„ูŠุณุงุฑ ุงู„ุขู† ู‡ู„
1008
+
1009
+ 253
1010
+ 00:21:12,560 --> 00:21:15,520
1011
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ูŠุณุงุฑ ุงูˆ ุงู„ูŠุณุงุฑุŸ ููŠ ุงู„ุฌุงู†ุจ
1012
+
1013
+ 254
1014
+ 00:21:15,520 --> 00:21:20,160
1015
+ ุงู„ูŠุณุงุฑ ู„ุฐุง ู†ู†ุฌุญ ู„ุฐุง ู†ู†ุฌุญ ู…ุฑุฉ ุฃุฎุฑู‰ ุงุฐุง ู…ู‚ุงุฑู†ุฉ ุฒูŠ
1016
+
1017
+ 255
1018
+ 00:21:20,160 --> 00:21:22,140
1019
+ 196 ุงูˆ
1020
+
1021
+ 256
1022
+ 00:21:26,780 --> 00:21:34,700
1023
+ ุฃูƒุจุฑ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1024
+
1025
+ 257
1026
+ 00:21:34,700 --> 00:21:35,540
1027
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1028
+
1029
+ 258
1030
+ 00:21:35,540 --> 00:21:36,860
1031
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1032
+
1033
+ 259
1034
+ 00:21:36,860 --> 00:21:39,500
1035
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1036
+
1037
+ 260
1038
+ 00:21:39,500 --> 00:21:44,320
1039
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1040
+
1041
+ 261
1042
+ 00:21:44,320 --> 00:21:49,280
1043
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
1044
+
1045
+ 262
1046
+ 00:21:49,280 --> 00:21:58,830
1047
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†ูˆุงุถุญ ุงู„ู†ู‚ุต ุงุชู†ูŠู† ุงุตู„ุง ู…ู† ุณู†ุฉ ูˆุงุญุฏุฉ
1048
+
1049
+ 263
1050
+ 00:21:58,830 --> 00:22:03,350
1051
+ ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ู…ุงูƒุฏู‡ ูˆ ูŠ reject ุฅุฐุง ุงู„ decision rule
1052
+
1053
+ 264
1054
+ 00:22:03,350 --> 00:22:10,130
1055
+ ุจูŠุญูƒูŠ ููŠ ุงู„ุญุงู„ุฉ the rejected null hypothesis since
1056
+
1057
+ 265
1058
+ 00:22:10,130 --> 00:22:12,730
1059
+ z statistic equals minus two which is less than
1060
+
1061
+ 266
1062
+ 00:22:12,730 --> 00:22:16,170
1063
+ negative one point nine six then my decision is
1064
+
1065
+ 267
1066
+ 00:22:16,170 --> 00:22:19,950
1067
+ rejected null hypothesis now you have to state
1068
+
1069
+ 268
1070
+ 00:22:19,950 --> 00:22:24,190
1071
+ also the managerial conclusion ุชู‚ุฑูŠุฑ ุชุจุนู‡and
1072
+
1073
+ 269
1074
+ 00:22:24,190 --> 00:22:29,050
1075
+ conclude that there is sufficient evidence that
1076
+
1077
+ 270
1078
+ 00:22:29,050 --> 00:22:31,690
1079
+ the mean diameter of a manufactured bolt is not
1080
+
1081
+ 271
1082
+ 00:22:31,690 --> 00:22:37,370
1083
+ equal to 30 ุฅูŠุด ูŠุนู†ูŠ sufficient evidence evidence
1084
+
1085
+ 272
1086
+ 00:22:37,370 --> 00:22:43,170
1087
+ ุฏู„ูŠู„ ูƒุงููŠ ูŠุนู†ูŠ ููŠ ุฏู„ูŠู„ ูƒุงููŠ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุฃู† ุงู„ mean
1088
+
1089
+ 273
1090
+ 00:22:43,170 --> 00:22:47,410
1091
+ is not 30 ุฅุฐุง ููŠ ุงู„ุขุฎุฑ ุทู„ุน ู…ุนูŠ ุงู„ู‚ุฑุงุฑ ุฃู† we
1092
+
1093
+ 274
1094
+ 00:22:47,410 --> 00:22:53,850
1095
+ supportุงู„ู‚ูŠู…ุฉ ู„ูŠุณุช ุงู‚ู„ ู…ู† 30 ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ ู†ู‚ู„
1096
+
1097
+ 275
1098
+ 00:22:53,850 --> 00:22:58,430
1099
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุณ ุงู„ุงู†ุงู„ูŠุฉ ูˆู†ุฎุชู… ุฃู† ู‡ู†ุงูƒ ูˆุซูŠู‚ุฉ ูƒุงููŠุฉ ู„ุฃู†
1100
+
1101
+ 276
1102
+ 00:22:58,430 --> 00:23:00,670
1103
+ ู‚ูŠู…ุฉ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1104
+
1105
+ 277
1106
+ 00:23:00,670 --> 00:23:01,890
1107
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1108
+
1109
+ 278
1110
+ 00:23:01,890 --> 00:23:02,990
1111
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1112
+
1113
+ 279
1114
+ 00:23:02,990 --> 00:23:03,170
1115
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1116
+
1117
+ 280
1118
+ 00:23:03,170 --> 00:23:06,970
1119
+ ู…ุตุฏุฑ
1120
+
1121
+ 281
1122
+ 00:23:06,970 --> 00:23:14,050
1123
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ๏ฟฝ๏ฟฝุต
1124
+
1125
+ 282
1126
+ 00:23:15,610 --> 00:23:18,850
1127
+ ู„ูˆ ุจุฏู‰ ุฎู…ู† ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ ู…ู† 30ุŸ ู„ูˆ ุจุฏู‰ ุฃุญู„ู‰ ู…ุซู„ุฉ
1128
+
1129
+ 283
1130
+ 00:23:18,850 --> 00:23:22,930
1131
+ one-tailed ุฅูŠุด ู‡ูŠุชุบูŠุฑ ู…ุนุงู‡ุŸ ู„ูˆ ุจุฏู‰ ุฃุบูŠุฑ ุงู„ู…ุซู„ุฉ
1132
+
1133
+ 284
1134
+ 00:23:22,930 --> 00:23:28,790
1135
+ ูƒู„ู‡ุง ู‡ูŠูƒ ูˆุจุฏู‰ ุฃุนุชุจุฑ ุฃุฎุฏ one-tailed ุฃุฎุฏูˆุง right ูˆู„ุง
1136
+
1137
+ 285
1138
+ 00:23:28,790 --> 00:23:36,270
1139
+ leftุŸ ุฎู„ูŠู†ูŠ ุฃุฎุฏ .. ู„ูŠุด leftุŸ ู„ุฃู† ุงู„ X bar ู…ุงู„ู‡ุง 89
1140
+
1141
+ 286
1142
+ 00:23:36,270 --> 00:23:41,790
1143
+ ุฃู‚ู„ ู…ู† 30 ูุฃุฎุฏู„ูŠ 100 ุฃู‚ู„ ู…ู† 30 ุฅูŠุด ู‡ูŠุชุบูŠุฑ ููŠ ุงู„ุญู„ุŸ
1144
+
1145
+ 287
1146
+ 00:23:41,790 --> 00:23:47,820
1147
+ ู‡ุฐุง ุญุชู‰ ู…ุฒุงู…ูŠู‡ ู…ุธุจูˆุทุŸู‡ุฐุง ู„ุง ูŠุชุบูŠุฑุŒ ุงู„ู„ูŠ ุณูŠุชุบูŠุฑ ู‡ูˆ
1148
+
1149
+ 288
1150
+ 00:23:47,820 --> 00:23:54,780
1151
+ ุงู„ู€ Critical Value ุตุงุฑุช to the leftุŒ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุงุŒ
1152
+
1153
+ 289
1154
+ 00:23:54,780 --> 00:24:00,900
1155
+ ู…ุงุฐุง ุณูŠุญุตู„ุŸ ุจุณ ุนู„ู‰ ุงู„ุฌู‡ุฉ ูˆุงุญุฏุฉุŒ ู„ุฃู†ู‡ุง ู†ูŠุฌุงุชูŠุŒ ู…ุงุฐุง
1156
+
1157
+ 290
1158
+ 00:24:00,900 --> 00:24:04,580
1159
+ ูŠุธู‡ุฑ ุนู†ุฏ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŸ ุฃุฎุฏู‡ุง ู…ู† ูŠูˆู… ุงู„ู…ุงุถูŠุŒ ู†ู‚ุงู„
1160
+
1161
+ 291
1162
+ 00:24:04,580 --> 00:24:09,880
1163
+ ูุงุชุญ ุตูุฑุŒ ู†ูŠุฌุงุชูŠ 1.645ุŒ ู…ุธุจูˆุทุŸ ุงู„ุงู†ุŒ ู‡ู„ ู‡ุฐุง ุงู„ูˆุถุน
1164
+
1165
+ 292
1166
+ 00:24:09,880 --> 00:24:17,010
1167
+ ูŠุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุŸ ู†ุนู…ูˆุงู„ู†ู‡ุงูŠุฉ ู‡ูŠ ุฃู†ู†ุง
1168
+
1169
+ 293
1170
+ 00:24:17,010 --> 00:24:21,170
1171
+ ู†ุชูุฑุฌ ู…ู† ุงู„ู€ Non-hypothesis ูˆู†ุฎุชู… ุฃู† ู‡ู†ุงูƒ ูˆุซูŠู‚ุฉ
1172
+
1173
+ 294
1174
+ 00:24:21,170 --> 00:24:27,270
1175
+ ูƒุงููŠุฉ ู„ุฃู† ุงู„ู€ true mean ู‡ูˆ ุฃู‚ู„ ู…ู† ุงู„ู€ true mean
1176
+
1177
+ 295
1178
+ 00:24:27,270 --> 00:24:30,970
1179
+ ุฃู†ุง ุฃุฎุฏุช lessุŒ ูŠุนู†ูŠ we are not equal to ูˆุฎู„ุตู†ุงู‡ุง
1180
+
1181
+ 296
1182
+ 00:24:30,970 --> 00:24:35,710
1183
+ ุฃู†ุง ุจุญูƒูŠ ู„ูˆ ูƒุงู†ุช ุงู„ูุฑุถูŠุฉ ุงู„ู€ mu ุฃู‚ู„ุŒ ู„ูˆ ูƒุงู†ุช ุฃู‚ู„
1184
+
1185
+ 297
1186
+ 00:24:35,710 --> 00:24:39,470
1187
+ ู…ู† 30 ุณูŠูƒูˆู† ุงู„ู‚ุฑุงุฑ ูŠุฏุนู… ุฃู† ุงู„ู€ mean ู…ุงู„ู‡ ุฃู‚ู„ ู…ู† 30
1188
+
1189
+ 298
1190
+ 00:24:39,470 --> 00:24:43,790
1191
+ ู‡ู„ ู…ู…ูƒู† ุฃุนู…ู„ู‡ุง ู…ู† ุบูŠุฑ ู…ุทุงู„ุจ ุงู„ู€ criticalุŸ ู…ู…ูƒู†ู„ูˆ
1192
+
1193
+ 299
1194
+ 00:24:43,790 --> 00:24:47,890
1195
+ ูƒุงู†ุช ุงู„ู‚ุฑุงุฑ ู…ูŠูˆุฒ ู†ูˆุช ุชูŠุฑุชูŠ ูƒูŠู ู…ู…ูƒู† ุงุนุฑู ููŠ ุดู…ุงู„
1196
+
1197
+ 300
1198
+ 00:24:47,890 --> 00:24:51,670
1199
+ ุงูˆ ูŠู…ูŠู†ุŸ
1200
+
1201
+ 301
1202
+ 00:24:51,670 --> 00:24:56,130
1203
+ ู…ู† ุบูŠุฑ ู…ุง .. ู…ู† ุบูŠุฑ ู…ุง ุญู„ ุงู„ู…ุซู„ุฉ ุนู„ู‰ ุญุณุจ ุงู„ู€ Z
1204
+
1205
+ 302
1206
+ 00:24:56,130 --> 00:24:59,630
1207
+ ู‚ุดุทูˆู†ุฉ ู…ุน ุงู„ Z positive ูˆู„ุง negativeุŸ negative
1208
+
1209
+ 303
1210
+ 00:24:59,630 --> 00:25:04,350
1211
+ ุจุชุงุน ู„ูŠู‡ุง ุนู„ุงู‚ุฉุŒ ุฎู„ุงุตุŸ ูŠุนู†ูŠ ู…ู† ุบูŠุฑ ู…ุง ุชุทู„ุน ุงู„
1212
+
1213
+ 304
1214
+ 00:25:04,350 --> 00:25:12,800
1215
+ critical value ุงู„ู„ูŠ ู‡ู†ุง ู‡ุชุตูŠุฑ ุน ุงู„ูŠุณุงุฑุŒ ุฎู„ุงุตุŸู‡ุฐุง
1216
+
1217
+ 305
1218
+ 00:25:12,800 --> 00:25:16,620
1219
+ ุงู„ู€ First Approach ูŠุณู…ู‰ Critical Value Approach ุฃูŠ
1220
+
1221
+ 306
1222
+ 00:25:16,620 --> 00:25:20,620
1223
+ ุณุคุงู„ ุนูŠุฏ
1224
+
1225
+ 307
1226
+ 00:25:20,620 --> 00:25:29,220
1227
+ ุจุณุฑุนุฉ ู…ุฑุฉ ุชุงู†ูŠุฉ ู„ู„ูŠ ูƒุงู† ุณุฑุญุงู† ูุถู„ุง ุตุญูŠุญ ุงู„ N ูˆ ุงู„
1228
+
1229
+ 308
1230
+ 00:25:29,220 --> 00:25:33,320
1231
+ X bar ูˆ ุงู„ Sigma ูˆ ุงู„ Alpha is given if Alpha is
1232
+
1233
+ 309
1234
+ 00:25:33,320 --> 00:25:36,700
1235
+ not given just use 5% ุฅุฐุง ุงู„ Sigma ูˆ ุงู„ N ูˆ ุงู„ X
1236
+
1237
+ 310
1238
+ 00:25:36,700 --> 00:25:39,400
1239
+ bar ู…ุนู„ูˆู…ุงุช ุฎู„ุงุต
1240
+
1241
+ 311
1242
+ 00:25:42,210 --> 00:25:46,210
1243
+ ุงู„ุงู† ุงู„ู€ six steps ุจุญุฏุฏ ุงู„ู€ null alternate
1244
+
1245
+ 312
1246
+ 00:25:46,210 --> 00:25:51,790
1247
+ hypothesis ู‡ูˆ ุญูƒุงูŠุฉ ู…ูŠูˆ ุงูŠู‚ุงู„ ุชูŠุฑุชูŠ ุงูƒูŠุฏ ุงู„ุจุฏูŠู„
1248
+
1249
+ 313
1250
+ 00:25:51,790 --> 00:25:55,590
1251
+ ู‡ุชูƒูˆู† ุงูŠุด is not equal to ุงู„ุง ุงุฐุง ู‡ูˆ ุญูƒุงูŠุฉ ุงูƒุจุฑ ุงูˆ
1252
+
1253
+ 314
1254
+ 00:25:55,590 --> 00:26:03,530
1255
+ ุงู‚ู„ Alpha 5% ูˆ ุญูƒุงูŠุฉ n ุจุชุณุงูˆูŠ 100 ุงู„ sigma is
1256
+
1257
+ 315
1258
+ 00:26:03,530 --> 00:26:06,850
1259
+ known ูˆุจุชูƒู„ู… ู…ุน ุงู„ู…ูŠู† ู…ุน ูƒุฏู‡ ุงู„ appropriate test
1260
+
1261
+ 316
1262
+ 00:26:06,850 --> 00:26:13,250
1263
+ is this test ุจุทู„ุน ุงู„ critical valueุทุจุนุง ุชู†ุชู‡ูŠ ู„ุฅู†
1264
+
1265
+ 317
1266
+ 00:26:13,250 --> 00:26:16,890
1267
+ ูˆุงุญุฏุฉ ูŠู…ูŠู† ูˆ ูˆุงุญุฏุฉ ุดู…ุงู„ ุจูŠุทู„ุน 1.96 ูˆ ุชุงู†ูŠ negative
1268
+
1269
+ 318
1270
+ 00:26:16,890 --> 00:26:22,130
1271
+ ุจุนุฏูŠู† ุจุญุณุจ ุงู„ Z statistic ุจูŠุทู„ุน negative 2 ุจุณ
1272
+
1273
+ 319
1274
+ 00:26:22,130 --> 00:26:26,870
1275
+ ุจุชุณุฃู„ ู†ูุณูƒ is this value of this statistic in the
1276
+
1277
+ 320
1278
+ 00:26:26,870 --> 00:26:30,090
1279
+ rejection region now the rejection region either
1280
+
1281
+ 321
1282
+ 00:26:30,090 --> 00:26:34,850
1283
+ less than negative 1.96 or greater than 1.96 now
1284
+
1285
+ 322
1286
+ 00:26:34,850 --> 00:26:37,750
1287
+ my Z statistic falls in this region so we reject
1288
+
1289
+ 323
1290
+ 00:26:37,750 --> 00:26:42,820
1291
+ itุจุณ ู‡ุฐุง ุฃูˆู„ approach ุจู†ุณู…ูŠู‡ critical value
1292
+
1293
+ 324
1294
+ 00:26:42,820 --> 00:26:46,640
1295
+ approach next
1296
+
1297
+ 325
1298
+ 00:26:46,640 --> 00:26:51,360
1299
+ approach is called B value approach to testing B
1300
+
1301
+ 326
1302
+ 00:26:51,360 --> 00:26:55,040
1303
+ stands for probability so this is probability
1304
+
1305
+ 327
1306
+ 00:26:55,040 --> 00:26:58,830
1307
+ value approach to testingmost likely the
1308
+
1309
+ 328
1310
+ 00:26:58,830 --> 00:27:03,890
1311
+ statistical software packages provide p-value ู…ุนุธู…
1312
+
1313
+ 329
1314
+ 00:27:03,890 --> 00:27:07,230
1315
+ ุงู„ุจุฑุงู…ุฌ ุงู„ุญุตุงุฆูŠุฉ ุจุชุทู„ุน ุงู„ p-value ุนุดุงู† ูƒุฏู‡ ู…ู‡ู… ุฌุฏุง
1316
+
1317
+ 330
1318
+ 00:27:07,230 --> 00:27:12,110
1319
+ ู†ุชุนุฑู ๏ฟฝ๏ฟฝูŠู ู†ุทู„ุน ุฃูˆ ู†ุญุณุจ ุงู„ p-value ุญุณุงุจ ุงู„ p-value
1320
+
1321
+ 331
1322
+ 00:27:12,110 --> 00:27:16,570
1323
+ ุฃุฎุฏู†ุงู‡ ุตูˆุฑุฉ ู…ุนูŠู†ุฉ ููŠ ุดุจุทุฑ ุณุจุนุฉ ุจุณ ุจูŠุงุฑ ุงู„ู…ุญูƒู…ุฉ ู‡ุฐู‡
1324
+
1325
+ 332
1326
+ 00:27:16,570 --> 00:27:19,210
1327
+ ุนุจุงุฑุฉ ุนู† ุงู„ p-value ุงุญู†ุง ุญูƒูŠู‡ุง ููŠ ุดุจุทุฑ ุชุณุนุฉ ูƒู†ุง
1328
+
1329
+ 333
1330
+ 00:27:19,210 --> 00:27:21,850
1331
+ ู†ุณู…ูŠู‡ุง probability ูˆ ุจุณ ูƒูŠู ู†ุทู„ุน ุงู„ probability
1332
+
1333
+ 334
1334
+ 00:27:21,850 --> 00:27:25,110
1335
+ ุชุชุฐูƒุฑ ูƒูŠู ู†ุทู„ุน ุงู„ probability ู†ูุณ ุงู„ุฌุซุฉ ู‡ู†ุนู…ู„ู‡ุง
1336
+
1337
+ 335
1338
+ 00:27:25,110 --> 00:27:30,430
1339
+ ุงู„ุขู† ุจุนุฏ ุดูˆูŠุฉู‡ุฐุง ู‡ูˆ ุงู„ู…ูˆุถูˆุน ุงู„ุชุงู„ูŠ ุฃูˆ ุงู„ุงุชุตุงู„
1340
+
1341
+ 336
1342
+ 00:27:30,430 --> 00:27:44,870
1343
+ ุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ูŠุณู…ู‰ ุจูŠ value approach ุจูŠ
1344
+
1345
+ 337
1346
+ 00:27:44,870 --> 00:27:49,190
1347
+ value approach
1348
+
1349
+ 338
1350
+ 00:27:49,190 --> 00:27:51,970
1351
+ to testing
1352
+
1353
+ 339
1354
+ 00:27:59,900 --> 00:28:03,700
1355
+ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุทุฑูŠู‚ุชูŠู† ู„ู„ู‚ุฑุงุฑุŒ ู„ู„ุงุฎุชุจุงุฑ ุฅู…ุง ุงู„ู€
1356
+
1357
+ 340
1358
+ 00:28:03,700 --> 00:28:06,580
1359
+ Critical ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ุฃูˆ ุงู„ู€ P-Value ูˆุงู„ุงุชู†ูŠู†
1360
+
1361
+ 341
1362
+ 00:28:06,580 --> 00:28:11,700
1363
+ ูŠุนุทูˆู† ู†ูุณ ุงู„ู€ Conclusion
1364
+
1365
+ 342
1366
+ 00:28:11,700 --> 00:28:14,980
1367
+ ุณูˆุงุก ุงุณุชุฎุฏู…ุช ุงู„ู€ P-Value approach ุฃูˆ ุงู„ู€ Critical
1368
+
1369
+ 343
1370
+ 00:28:14,980 --> 00:28:19,120
1371
+ P-Value approach ุงู„ู€ P-Value ุงู„ู€ differentiation
1372
+
1373
+ 344
1374
+ 00:28:19,120 --> 00:28:21,900
1375
+ ุชุจุนู‡ุง probability of obtaining a test statistic
1376
+
1377
+ 345
1378
+ 00:28:21,900 --> 00:28:25,800
1379
+ equal to or more extreme than the observed sample
1380
+
1381
+ 346
1382
+ 00:28:25,800 --> 00:28:31,190
1383
+ given its zeroes trueูˆ ุงู„ B value is also called
1384
+
1385
+ 347
1386
+ 00:28:31,190 --> 00:28:38,030
1387
+ .. ุฃู†ุง ุจุณู…ูŠู‡ุง observed level
1388
+
1389
+ 348
1390
+ 00:28:38,030 --> 00:28:45,410
1391
+ of significance ูŠุนู†ูŠ ู…ู† ุงู„ุณูˆุก ุงู„ู…ุนู†ูˆูŠ ู„ู„ู…ุดุงู‡ุฏ
1392
+
1393
+ 349
1394
+ 00:28:45,410 --> 00:28:50,690
1395
+ observed ุงู„ู„ุงู„ูุฉ ูƒุงู†ุช ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุจุณ ุงู„ level of
1396
+
1397
+ 350
1398
+ 00:28:50,690 --> 00:28:54,070
1399
+ significance ู„ูƒู† ุงู„ B value ุงู„ observed ุงู„ู…ุดุงู‡ุฏ
1400
+
1401
+ 351
1402
+ 00:28:54,070 --> 00:28:57,990
1403
+ ู„ูŠุด ู…ุดุงู‡ุฏุŸ ู„ุฃู† ุฃู†ุง ุจุญุณุจู‡ ู…ู† ุงู„ุนูŠู†ุฉ ุนุดุงู† ูƒุฐุง ู†ุญุณุจู‡
1404
+
1405
+ 352
1406
+ 00:28:57,990 --> 00:29:02,930
1407
+ ู…ู† ุงู„ุนูŠู†ุฉit is the smallest value of ฮฑ for which 0
1408
+
1409
+ 353
1410
+ 00:29:02,930 --> 00:29:07,050
1411
+ can be rejected ูŠุนู†ูŠ ู‡ูŠ ุฃุตุบุฑ ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู† ุงู„ู€ ฮฑ
1412
+
1413
+ 354
1414
+ 00:29:07,050 --> 00:29:10,390
1415
+ ู„ู…ุง ู†ุญู† ู†ู‚ู„ ุงู„ู€ normal process ุงู„ decision ุชุจุนู†ุง
1416
+
1417
+ 355
1418
+ 00:29:10,390 --> 00:29:16,630
1419
+ ูƒุงู„ู‡ุงุชู ู†ุณุชุทูŠุน ุฃู† ู†ู‚ู„ ุงู„ู€ P value ู…ู† ุงู„ู€ ฮฑ ุงู„ุณู„ุณู„ุฉ
1420
+
1421
+ 356
1422
+ 00:29:16,630 --> 00:29:27,390
1423
+ ู‡ูŠ ุฅุฐุง P value ุฃุตุบุฑ ู…ู† ุงู„ู€ ฮฑ ูˆ ุงู„ู€ ฮฑ ู…ุณุชุฎุฏู…ุฉ ูู†ู‚ู„
1424
+
1425
+ 357
1426
+ 00:29:27,390 --> 00:29:27,830
1427
+ ุงู„ู€ 0
1428
+
1429
+ 358
1430
+ 00:29:31,420 --> 00:29:33,260
1431
+ ุฅุฐุง ุฃู†ุง ุญุงุณุจ ุงู„ู€ P valueุŒ ูˆุญูˆุฑูŠูƒุง ู…ุงุนุฑูุด ูƒูŠู
1432
+
1433
+ 359
1434
+ 00:29:33,260 --> 00:29:37,620
1435
+ ุจุญุณุจู‡ุง ุฅุฐุง ุงู„ู€ P value is smaller than AlphaุŒ then
1436
+
1437
+ 360
1438
+ 00:29:37,620 --> 00:29:43,560
1439
+ we reject the null hypothesis otherwise if this P
1440
+
1441
+ 361
1442
+ 00:29:43,560 --> 00:29:47,300
1443
+ value is greater than or equal to Alpha, then we
1444
+
1445
+ 362
1446
+ 00:29:47,300 --> 00:29:52,480
1447
+ don't reject H0
1448
+
1449
+ 363
1450
+ 00:29:52,480 --> 00:29:55,700
1451
+ ุฅุฐุง
1452
+
1453
+ 364
1454
+ 00:29:55,700 --> 00:29:58,380
1455
+ always we reject the null hypothesis if P value is
1456
+
1457
+ 365
1458
+ 00:29:58,380 --> 00:30:05,020
1459
+ smallุงู„ุงู† ุงู„ู€ small ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ูˆู… ูู‚ุท ุจู…ู‚ุงุฑู†ุฉ
1460
+
1461
+ 366
1462
+ 00:30:05,020 --> 00:30:08,540
1463
+ P-value ู…ุน Alpha ุฅุฐุง ูƒุงู† P-value ุฃูƒุชุฑ ู…ู† Alpha
1464
+
1465
+ 367
1466
+ 00:30:08,540 --> 00:30:11,800
1467
+ ูู†ู‚ูˆู… ุจุฅู†ู‡ุงุก ุงู„hypothesis ู…ุน ูƒุฏู‡ ูƒู„ ู…ุง ูƒุงู†ุช ุงู„ P
1468
+
1469
+ 368
1470
+ 00:30:11,800 --> 00:30:15,980
1471
+ -value ุตุบูŠุฑุฉ ู†ู‚ูˆู… ุจุฅู†ู‡ุงุกู‡ุง but how small is small
1472
+
1473
+ 369
1474
+ 00:30:15,980 --> 00:30:18,740
1475
+ enough to reject the null hypothesis ุฅุฐุง ูƒุงู† P
1476
+
1477
+ 370
1478
+ 00:30:18,740 --> 00:30:22,720
1479
+ -value ุฃูƒุชุฑ ู…ู† Alpha ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ
1480
+
1481
+ 371
1482
+ 00:30:22,720 --> 00:30:28,240
1483
+ ุณู†ุณุชุฎุฏู…ู‡ ุฅุฐุง ูƒุงู† P-value ุฃู‚ู„ ู…ู† Alpha ุณุฃุนุทูŠูƒ ุดูŠุก
1484
+
1485
+ 372
1486
+ 00:30:28,240 --> 00:30:35,040
1487
+ ูู‚ุทู„ุชุฐูƒุฑ ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ู€ P value ุตุบูŠุฑุฉุŒ ูุฅู† ุงู„ู€ 0
1488
+
1489
+ 373
1490
+ 00:30:35,040 --> 00:30:39,760
1491
+ ูŠุฌุจ ุฃู† ูŠุฐู‡ุจ ุฅุฐุง ูƒุงู†ุช ุงู„ P value ุตุบูŠุฑุฉุŒ ูุงู„ู€ 0 ู…ุง
1492
+
1493
+ 374
1494
+ 00:30:39,760 --> 00:30:46,260
1495
+ ู„ู‡ุง ุฐู‡ุจ ู…ุนู†ุงู‡ุง ุชู†ูุฐ ุงู„ู€ 0 ุงู„ุขู† ุณุฃุดูˆู ูƒูŠู ุฃุณุชุฎุฏู…
1496
+
1497
+ 375
1498
+ 00:30:46,260 --> 00:30:50,080
1499
+ ุงู„ู€ P value approach ุงู„ู€ steps ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ููŠ
1500
+
1501
+ 376
1502
+ 00:30:50,080 --> 00:30:55,680
1503
+ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏูŠู† step one the same ุงู„ู€ set null
1504
+
1505
+ 377
1506
+ 00:30:55,680 --> 00:30:58,930
1507
+ and alternate hypothesisุงู„ุฎุทูˆุฉ ุงู„ุซุงู†ูŠุฉ ู…ุงุฒุงู„ุฉ
1508
+
1509
+ 378
1510
+ 00:30:58,930 --> 00:31:03,150
1511
+ ู†ูุณู‡ุงุŒ ุงุฎุชุงุฑ ุงู„ูุง ูˆู† ุงู„ุฎุทูˆุฉ ุงู„ุซุงู„ุซุฉ ุชุญุฑุฑ ุงุนุชู…ุงุฏ
1512
+
1513
+ 379
1514
+ 00:31:03,150 --> 00:31:04,130
1515
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1516
+
1517
+ 380
1518
+ 00:31:04,130 --> 00:31:06,030
1519
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1520
+
1521
+ 381
1522
+ 00:31:06,030 --> 00:31:06,130
1523
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1524
+
1525
+ 382
1526
+ 00:31:06,130 --> 00:31:06,370
1527
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1528
+
1529
+ 383
1530
+ 00:31:06,370 --> 00:31:06,430
1531
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1532
+
1533
+ 384
1534
+ 00:31:06,430 --> 00:31:06,450
1535
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1536
+
1537
+ 385
1538
+ 00:31:06,450 --> 00:31:07,690
1539
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1540
+
1541
+ 386
1542
+ 00:31:07,690 --> 00:31:09,150
1543
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1544
+
1545
+ 387
1546
+ 00:31:09,150 --> 00:31:14,410
1547
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1548
+
1549
+ 388
1550
+ 00:31:14,410 --> 00:31:18,380
1551
+ ุงู„ุงุนุชู…Critical Value Approach ูˆ P-Value Approach
1552
+
1553
+ 389
1554
+ 00:31:18,380 --> 00:31:21,380
1555
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ูˆู… ุจุชุญุณูŠู† P-Value ุจุฏู„ุง ู…ู† P
1556
+
1557
+ 390
1558
+ 00:31:21,380 --> 00:31:26,000
1559
+ -Critical Value ู†ุญุณุจ P-Value ุจุฏู„ุง ู…ู† P-Critical
1560
+
1561
+ 391
1562
+ 00:31:26,000 --> 00:31:30,120
1563
+ Value ู†ุญุณุจ P-Value ุจุฏู„ุง ู…ู† P-Critical Value ู†ุญุณุจ P
1564
+
1565
+ 392
1566
+ 00:31:30,120 --> 00:31:36,000
1567
+ -Value ุจุฏู„ุง ู…ู† P-Critical Value ู†ุญุณุจ P-Value ุจุฏู„ุง
1568
+
1569
+ 393
1570
+ 00:31:36,000 --> 00:31:42,180
1571
+ ู…ู† P-Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู†
1572
+
1573
+ 394
1574
+ 00:31:42,180 --> 00:31:42,200
1575
+ P-Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู† P
1576
+
1577
+ 395
1578
+ 00:31:42,200 --> 00:31:42,280
1579
+ -Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู† P
1580
+
1581
+ 396
1582
+ 00:31:42,280 --> 00:31:44,850
1583
+ -Critical Vูู‚ุท ุจุญุณุจ ุงู„ู€ p value ุจุฏู„ ู…ู† ุงู„ู€
1584
+
1585
+ 397
1586
+ 00:31:44,850 --> 00:31:48,230
1587
+ critical value ูˆ ุงู„ู‚ุฑุงุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ p value ุฃู‚ู„
1588
+
1589
+ 398
1590
+ 00:31:48,230 --> 00:31:53,270
1591
+ ู…ู† ุงู„ alpha ูˆ ูŠ reject ุฎู„ุงุต ู†ุฑุฌุน ู„ู„ example ุฃุฎุฏู†ุง
1592
+
1593
+ 399
1594
+ 00:31:53,270 --> 00:31:58,010
1595
+ ู…ู† ุดูˆูŠุฉ ุงู„ู…ุซุงู„
1596
+
1597
+ 400
1598
+ 00:31:58,010 --> 00:32:03,090
1599
+ ุงู„ู„ูŠ ูุงุช ูƒุงู† ุจูŠุญูƒูŠ ุนู† ุฅูŠุด ุนู„ู‰
1600
+
1601
+ 401
1602
+ 00:32:03,090 --> 00:32:09,950
1603
+ mu equal to 30 ู…ุธุจูˆุท ูˆ H1 ูƒุงู†ุช ู„ุงุช ุณุงูˆุฉ ู…ุธุจูˆุท
1604
+
1605
+ 402
1606
+ 00:32:14,580 --> 00:32:18,900
1607
+ ุญูƒูŠู†ุง ุงู„ Z statistic ุงูŠุด ุณูˆุงุก plus 2 ู…ุธุจูˆุท ูˆ
1608
+
1609
+ 403
1610
+ 00:32:18,900 --> 00:32:23,480
1611
+ negative 2 ูƒุงู†ุช negative 2 ู…ุธุจูˆุท ุงู„ุงู† ู†ุดูˆู ุงูŠุด
1612
+
1613
+ 404
1614
+ 00:32:23,480 --> 00:32:26,820
1615
+ ุงุญุชู…ุงู„ ุงู† ุงู„ Z ุชุจุนุชูŠ falls in the rejection region
1616
+
1617
+ 405
1618
+ 00:32:26,820 --> 00:32:32,100
1619
+ ู…ู…ูƒู† ููˆู‚ ุงู„ู„ูŠ ุชูƒูˆู† ูˆูŠู† ููŠ ุงู„ูŠู…ูŠู† ุงูˆ ููŠ ุงู„ุดู…ุงู„
1620
+
1621
+ 406
1622
+ 00:32:32,100 --> 00:32:37,200
1623
+ ูุจุงู„ุชุงู„ูŠ ุงู„ B value ุงู„ู„ูŠ ุงู†ุช ุนุงูŠุฒู‡ุง ุจูŠุณูˆุก ุงุญุชู…ุงู„
1624
+
1625
+ 407
1626
+ 00:32:37,200 --> 00:32:41,780
1627
+ ุงู„ Z ุงูƒุจุฑ ู…ู† 2 ู„ุงู† ุงุฐุง ูƒุงู†ุช ุงูƒุจุฑ ู…ู† 2 ู‡ูˆ reject
1628
+
1629
+ 408
1630
+ 00:32:41,780 --> 00:32:46,850
1631
+ ู…ุธุจูˆุทุฃูˆ ุฃู‚ู„ ู…ู† ุณุงู„ุจ 2ุŒ ุฅุฐุง ุฃุฑูŠุฏ ุฃู† ุฃุญุณุจ ุจู‡ุฐู‡
1632
+
1633
+ 409
1634
+ 00:32:46,850 --> 00:32:50,830
1635
+ ุงู„ุทุฑูŠู‚ุฉ
1636
+
1637
+ 410
1638
+ 00:32:50,830 --> 00:32:53,950
1639
+ ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง ุงู„ู€ P-Value ุฃูˆ ุจุฑูˆุฏุด ูŠุนู†ูŠ ุจุญุณุจ .. ุจุทู„ุน
1640
+
1641
+ 411
1642
+ 00:32:53,950 --> 00:32:57,270
1643
+ ุฒูŠ ุงู„ู€ Statistic ุฃู†ุง ุญุณุจุช ุจุณู„ุจ 2 ู…ุด ู‡ูŠูƒ ุจุดูˆู ุฅูŠุด
1644
+
1645
+ 412
1646
+ 00:32:57,270 --> 00:33:03,730
1647
+ ุงุญุชู…ุงู„ ูŠูƒูˆู† ุฃูƒุจุฑ ุจูˆุงู‚ุนูŠู† ุฃูˆ ูˆุงู‚ุน ู†ุงุญูŠุฉ ุชุงู†ูŠุฉ ู…ู…ูƒู†
1648
+
1649
+ 413
1650
+ 00:33:03,730 --> 00:33:08,850
1651
+ ูŠู‚ุน ู†ุงุญูŠุฉ ุงู„ูŠู…ูŠู† ุฃูˆ ุงู„ุดู…ุงู„ ู„ูˆ ุทู„ุนุช ููŠ ุงู„ table
1652
+
1653
+ 414
1654
+ 00:33:08,850 --> 00:33:14,740
1655
+ ุนุดุงู† ุฃุญุณุจ ู‡ุฐุง ู…ุด ุญุฏุซ 6 ู…ุด ู‡ูŠูƒุจุชุทู„ุน ุนู†ุฏู†ุง negative
1656
+
1657
+ 415
1658
+ 00:33:14,740 --> 00:33:19,660
1659
+ two ุฅูŠุด
1660
+
1661
+ 416
1662
+ 00:33:19,660 --> 00:33:32,560
1663
+ ุงู„ุฌูˆุงุจุŸ Z ุฃู‚ู„ ู…ู† negative .. ุฌุงู‡ุฒุฉ ููŠ ุงู„ุฌุฏูˆู„ Zero,
1664
+
1665
+ 417
1666
+ 00:33:35,620 --> 00:33:41,660
1667
+ two, two, eight ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุง ุทู„ุนุช to the right
1668
+
1669
+ 418
1670
+ 00:33:41,660 --> 00:33:51,470
1671
+ to the left0,2,2,8 ุงู„ู…ุณุงุญุฉ to the left ู†ูุณู‡ุง
1672
+
1673
+ 419
1674
+ 00:33:51,470 --> 00:33:57,350
1675
+ ู„ุฃู† ู‡ุฐู‡ negative 2 ูˆู‡ุฐู‡ plus 2 ู†ูุณ ุงู„ value but in
1676
+
1677
+ 420
1678
+ 00:33:57,350 --> 00:34:00,550
1679
+ the opposite direction so the area to the right is
1680
+
1681
+ 421
1682
+ 00:34:00,550 --> 00:34:02,350
1683
+ the same as the area to the left
1684
+
1685
+ 422
1686
+ 00:34:09,330 --> 00:34:13,050
1687
+ ุงู†ุง ุจุญูƒูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ู… ุงู…ุง ุงูƒุจุฑ ู…ู† ุงุชู†ูŠู† ุงูˆ ุงู‚ู„
1688
+
1689
+ 423
1690
+ 00:34:13,050 --> 00:34:17,810
1691
+ ู…ู† ุณู„ุจ ุงุชู†ูŠู† ุงู„ู„ูŠ ุงู‚ู„ ู…ู† ุณู„ุจ ุงุชู†ูŠู† ู…ุจุงุดุฑ ู…ู† ุงู„ุฌุฏูˆู„
1692
+
1693
+ 424
1694
+ 00:34:17,810 --> 00:34:23,810
1695
+ 0228 ุทุจ ุงุฐุง ุงุฎุชุงุฑ ุงู„ุฃูƒุจุฑ ู…ู† ุงุชู†ูŠู† one minus ู„ุฃ
1696
+
1697
+ 425
1698
+ 00:34:23,810 --> 00:34:28,010
1699
+ ุจุชุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„ ู…ุจุงุดุฑ ู…ู† ุงู„ุฌุฏูˆู„ ูˆุงู„ุชุงู†ูŠ ุฒูŠู‡ุง
1700
+
1701
+ 426
1702
+ 00:34:28,010 --> 00:34:30,930
1703
+ ูุชู„ุงุญุธ ุงู„ P value ุนุจุงุฑุฉ ุนู† ูŠุดุชุช ุงู†ุชู†ูŠู† ุฒูŠ ุจุนุถุŒ
1704
+
1705
+ 427
1706
+ 00:34:30,930 --> 00:34:35,270
1707
+ ู…ุธู‡ุฑุŸ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนุช ูˆุงุญุฏุฉ ูˆุถุฑุจุช ููŠ ุงุชู†ูŠู†ุŒ ุจุชุทู„ุน
1708
+
1709
+ 428
1710
+ 00:34:35,270 --> 00:34:40,730
1711
+ ุงู„ุฌูˆุงุจ ู…ุนุงูƒุŒ ุงุฐุง ู…ุนู†ุงูƒ ุงู†ุช ุทู„ุน ูˆุงุญุฏุฉ ุจุณูŠุนู†ูŠ ุทู„ุน
1712
+
1713
+ 429
1714
+ 00:34:40,730 --> 00:34:45,150
1715
+ ุณูˆุงุก ุงู„ู€ z ุทู„ุน negative ุฃูˆ positive ู…ุด ู…ุดูƒู„ุฉ ู„ุฅู†
1716
+
1717
+ 430
1718
+ 00:34:45,150 --> 00:34:48,070
1719
+ ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ุงู„ two-sided ุฒูŠ ุจุนุถ ูุงู†ุช ู„ู…ุง ุชุดุชุบู„ูŠ
1720
+
1721
+ 431
1722
+ 00:34:48,070 --> 00:34:52,970
1723
+ ุฎุฏูŠู‡ุง absolute value ุญุชู‰ ู„ูˆ ุทู„ุนุช negative ุฎุฏูŠู‡ุง
1724
+
1725
+ 432
1726
+ 00:34:52,970 --> 00:34:57,930
1727
+ absolute value ูŠุนู†ูŠ ุงุชู†ูŠู† ููŠ ุงุญุชู…ุงู„ z ุฃูƒุจุฑ ู…ู†
1728
+
1729
+ 433
1730
+ 00:34:57,930 --> 00:35:01,470
1731
+ ุงุชู†ูŠู† ุฅุฐุง ุงู† ุฌุงูˆุจ ุนู„ู‰ ุทูˆู„ ู„ุงุฒู… ู‡ุฐู‡ ุฌุงู‡ุฒุฉ ู…ุนุงู‡ ู„ุงุฒู…
1732
+
1733
+ 434
1734
+ 00:35:01,470 --> 00:35:05,290
1735
+ ุจุทู„ุน .. ูŠุนู†ูŠ ุจุทู„ุน ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฃูˆ ุจุทู„ุน ูˆุงุญุฏุฉ ูˆ
1736
+
1737
+ 435
1738
+ 00:35:05,290 --> 00:35:09,090
1739
+ ุจุถุฑุจู‡ุง ููŠ ุงุชู†ูŠู† ููŠุทู„ุน ุงุชู†ูŠู† ุถุฑุจ zero ุงุชู†ูŠู† ุงุชู†ูŠู†
1740
+
1741
+ 436
1742
+ 00:35:09,090 --> 00:35:18,130
1743
+ ุชู…ุงู… ูŠุนู†ูŠุชุทู„ุน 0, 4, 5, 6 ุฅุฐุง ุทู„ุนุช ุงู„ P value 0,
1744
+
1745
+ 437
1746
+ 00:35:21,290 --> 00:35:27,170
1747
+ 4, 5, 6 now
1748
+
1749
+ 438
1750
+ 00:35:27,170 --> 00:35:34,630
1751
+ is this P value more than Alpha ุงู„ Alpha is 5%ูˆุงุถุญ
1752
+
1753
+ 439
1754
+ 00:35:34,630 --> 00:35:39,030
1755
+ 0.4 ุชู‚ุฑูŠุจุง ุฃู‚ู„ ู…ู† 0.5 ุฅุฐู† ุงู„ู‚ุฑุงุฑ ูŠ reject null
1756
+
1757
+ 440
1758
+ 00:35:39,030 --> 00:35:44,890
1759
+ hypothesis ุฅุฐู† is the b value less than alpha so
1760
+
1761
+ 441
1762
+ 00:35:44,890 --> 00:35:50,190
1763
+ we reject now in this case b value is 0.4566 which
1764
+
1765
+ 442
1766
+ 00:35:50,190 --> 00:35:53,630
1767
+ is more than 0.5 so we reject the null hypothesis
1768
+
1769
+ 443
1770
+ 00:35:53,630 --> 00:35:57,850
1771
+ so we end with the same result and conclude the
1772
+
1773
+ 444
1774
+ 00:35:57,850 --> 00:36:01,570
1775
+ same conclusion ูˆุงุถุญ ู†ูุณ ุงู„ู‚ุฑุงุฑ so we end with the
1776
+
1777
+ 445
1778
+ 00:36:01,570 --> 00:36:07,120
1779
+ same decisionูˆุงู„ู†ู‡ุงูŠุฉ ู†ูุณู‡ุง ู„ุฐุง ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ู„
1780
+
1781
+ 446
1782
+ 00:36:07,120 --> 00:36:10,560
1783
+ ู†ุธุฑูŠุฉ ุงู„ุงู†ุงู„ูŠุงุจูˆุฒูŠุณ ูˆู†ุญุตู„ ุนู„ู‰ ู†ูุณ ุงู„ู†ุชูŠุฌุฉ ุฃู† ู‡ู†ุงูƒ
1784
+
1785
+ 447
1786
+ 00:36:10,560 --> 00:36:17,160
1787
+ ุฃุซุงุฑุฉ ูƒุงููŠุฉ ู„ู†ู‚ู„ ุฃู† ุงู„ู€ mean ู„ูŠุณ ุฃู‚ู„ ู…ู† 30 ุทุจ ู„ูˆ
1788
+
1789
+ 448
1790
+ 00:36:17,160 --> 00:36:22,660
1791
+ ุนุงูŠุฒู‡ุง ุฃู‚ู„ ู…ู† ุงู„ู„ูŠ
1792
+
1793
+ 449
1794
+ 00:36:22,660 --> 00:36:31,720
1795
+ ู‡ูˆ ุฏู‡ ูƒู„ู‡ ุฃู†ุง ุนุงูŠุฒู‡ ุจุณ ุงู„ H1 ูƒุงู†ุช ู…ูŠูˆ ุฃู‚ู„ ู…ู† 30ูˆ
1796
+
1797
+ 450
1798
+ 00:36:31,720 --> 00:36:37,600
1799
+ ุงู„ Z ู…ุงุฒุงู„ุฉ negative 2 ุงู„ rejection ู‡ูŠ ู…ุธุจูˆุท to
1800
+
1801
+ 451
1802
+ 00:36:37,600 --> 00:36:41,500
1803
+ the left ูุงู„ probability ู‡ุชุณุงูˆูŠ ุงูˆ ุงู„ P value
1804
+
1805
+ 452
1806
+ 00:36:41,500 --> 00:36:48,420
1807
+ probability of Z less ูˆู„ุง ุฃูƒุจุฑุŸ less ู„ูŠุด lessุŸ ู„ุฃู†
1808
+
1809
+ 453
1810
+ 00:36:48,420 --> 00:36:53,460
1811
+ ุนู†ุฏ ู‡ู†ุง less ู„ูˆ ุฃูƒุจุฑ ุจุงุฎุฏ ุงู„ุฃูƒุจุฑ ุฅูŠุด ุทู„ุน ุงู„ job
1812
+
1813
+ 454
1814
+ 00:36:53,460 --> 00:36:57,920
1815
+ ู…ุนุงู‡ุŸ ู…ู† ุดูˆูŠุฉ ู„ุญุธุฉ
1816
+
1817
+ 455
1818
+ 00:36:57,920 --> 00:37:02,980
1819
+ ู†ุต ุงู„ู„ูŠ ุทู„ุนุช ู…ุด ู‡ูŠูƒุงู„ู†ุต ุงู„ู„ู‰ ุทู„ุนุช ุจุงู„ุทุจุน ุงู„ู‚ุฑุงุด
1820
+
1821
+ 456
1822
+ 00:37:02,980 --> 00:37:11,100
1823
+ ุทู„ุน reject ู…ุธุจูˆุท ู…ุน ูƒุฏู‡ ุงู„ mean ู…ุงู„ู‡ ุฃู‚ู„ ุฅุฐุง ูˆุงุถุญ
1824
+
1825
+ 457
1826
+ 00:37:11,100 --> 00:37:14,960
1827
+ ุฃู† ู‡ูŠ ุงู„ู†ุต ุงู„ู„ู‰ ูุงุชุช ู…ุด ุดุงูŠู ุทุจ ู„ูˆ ูˆุงุญุฏ ุนุงูŠุฒ ูŠุฎุชุจุฑ
1828
+
1829
+ 458
1830
+ 00:37:14,960 --> 00:37:20,520
1831
+ ู†ูุชุฑุถ 100 ุฃูƒุจุฑ ู…ู† 30 ุงู„
1832
+
1833
+ 459
1834
+ 00:37:20,520 --> 00:37:25,080
1835
+ P-Value ู‡ุชุณุงูˆูŠ probability of Z greater than
1836
+
1837
+ 460
1838
+ 00:37:25,080 --> 00:37:25,760
1839
+ negative 2
1840
+
1841
+ 461
1842
+ 00:37:29,570 --> 00:37:33,030
1843
+ ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ูˆ ุฃูƒุจุฑ ูุชุทู„ุน ุฃูƒุจุฑ ูˆู†ู‚ุต ุงุชู†ูŠู† ู‡ุงูŠ ุงู„ู€
1844
+
1845
+ 462
1846
+ 00:37:33,030 --> 00:37:38,850
1847
+ negative two ู…ุณุงุญุฉ ู‡ุฐู‡ ุงู„ team ุงู„ู…ุญุชู„ูŠุฉ ุงู„ู„ูŠ ูˆูŠู†
1848
+
1849
+ 463
1850
+ 00:37:38,850 --> 00:37:42,950
1851
+ to the left is on one minus p of z less than
1852
+
1853
+ 464
1854
+ 00:37:42,950 --> 00:37:46,030
1855
+ negative two ู‡ุงูŠ ุจุชุทู„ุน ุงู„ zero ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู…ุงู†ูŠ
1856
+
1857
+ 465
1858
+ 00:37:46,030 --> 00:37:51,440
1859
+ ุงุด ุจุชุทู„ุน ู‡ูŠูƒ nine seven seven twoู„ุญุธุฉ ุงู„ู…ูƒู…ู„ุฉ
1860
+
1861
+ 466
1862
+ 00:37:51,440 --> 00:37:54,760
1863
+ ุชุจุนุชู‡ุง one minus ุทุจ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุฃูƒุจุฑ ุฑุฒู‚ ู…ู† ุงู„
1864
+
1865
+ 467
1866
+ 00:37:54,760 --> 00:37:58,480
1867
+ alpha ุฃูƒุจุฑ ุจูƒุชูŠุฑ ู…ู† ุงู„ alpha ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุฅูŠุด ุจูŠูƒูˆู†
1868
+
1869
+ 468
1870
+ 00:37:58,480 --> 00:38:04,060
1871
+ ู‡ุฐู‡ ุชุณุชูˆู‰ ุชู„ุงุชูŠู† ู…ุธุจูˆุท not reject ุฅุฐุง we don't
1872
+
1873
+ 469
1874
+ 00:38:04,060 --> 00:38:06,900
1875
+ reject the null hypothesis ุฎู„ู‘ูŠู†ุง ู†ู„ุงู‚ูŠ ุงู„ null
1876
+
1877
+ 470
1878
+ 00:38:06,900 --> 00:38:11,700
1879
+ ู…ูƒุชูˆุจ ู‡ู†ุง ู…ูŠูˆ equal ุชู„ุงุชูŠู† ูˆู‡ู†ุง ู…ูŠูˆ ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู†
1880
+
1881
+ 471
1882
+ 00:38:11,700 --> 00:38:16,860
1883
+ ูˆุญูƒูŠู†ุง ูƒู„ ูˆุงุญุฏ ู…ู†ู‡ู… opposite ู„ู„ุชุงู†ูŠ ุนูƒุณ ุจุนุถ ุทุจ
1884
+
1885
+ 472
1886
+ 00:38:16,860 --> 00:38:21,930
1887
+ ุงู„ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ุฅูŠุด ุจูŠูƒูˆู† ุงู„ opposite ุชุจุนู‡ุŸุฃูƒุจุฑ ุฃูˆ
1888
+
1889
+ 473
1890
+ 00:38:21,930 --> 00:38:27,010
1891
+ ุณูˆู‰ ุฅุฐุง ูƒุงู† ุฃู‚ู„ ุจุชูƒูˆู† ุงู„ู€ Opposite ุชุจู‚ู‰ ุชู…ุงู„ู‡ุง
1892
+
1893
+ 474
1894
+ 00:38:27,010 --> 00:38:31,270
1895
+ ุฃูƒุจุฑ ุฃูˆ ุณูˆู‰ุŒ ุฎู„ุงุตุŸ
1896
+
1897
+ 475
1898
+ 00:38:31,270 --> 00:38:37,730
1899
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ูˆุงุถุญ ุงู„ููƒุฑุฉุŸ ุฃู†ุง ุจุญูƒูŠ ุนู„ูŠู‡ ู‡ุฐู‡ ุงู„ู€ H0
1900
+
1901
+ 476
1902
+ 00:38:37,730 --> 00:38:45,050
1903
+ ุจุชุงุนุชู‡ุง ุงู„ุฃูƒุจุฑ ุจุชูƒูˆู† ุชุงุนุชู‡ุง ุฃู‚ู„ ู…ู† ุฃูˆ ุณูˆู‰ 30 ููŠ ุฃูŠ
1904
+
1905
+ 477
1906
+ 00:38:45,050 --> 00:38:50,170
1907
+ ุณุคุงู„ุŸ ุจุงู„ู†ุณุจุฉ ู„ู„ next time ุฅู† ุดุงุก ุงู„ู„ู‡ุงู„ู„ูŠ ุญูƒูŠุช
1908
+
1909
+ 478
1910
+ 00:38:50,170 --> 00:38:53,870
1911
+ ุจุฏูŠ ุญุฏ ุงู† ูŠุทู„ุน ูŠุดุฑุญู‡ุง ู‡ุฐุง ุงู„ slide ุจุชูƒู„ู… ุนู†
1912
+
1913
+ 479
1914
+ 00:38:53,870 --> 00:38:58,390
1915
+ confidence interval ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ุจุณ ู‡ุฐุง ุงู„ slide
1916
+
1917
+ 480
1918
+ 00:38:58,390 --> 00:39:02,030
1919
+ ุงู„ู„ู‚ุงุก
1920
+
1921
+ 481
1922
+ 00:39:02,030 --> 00:39:07,530
1923
+ ุงู„ุฌุงูŠ ู‡ูŠุจุฏุฃ ู…ู† ู‡ู†ุง do you ever truly know sigmaุŸ
1924
+
1925
+ 482
1926
+ 00:39:07,530 --> 00:39:12,150
1927
+ ู‡ู„ ุงู†ุช ุจุชุนุฑู sigma ูˆู„ุง ู„ุฃุŸ ู‡ุฐุง ู‡ู†ุจุฏุฃ ููŠ ุงู„ู„ู‚ุงุก
1928
+
1929
+ 483
1930
+ 00:39:12,150 --> 00:39:17,790
1931
+ ุงู„ุฌุงูŠ ุงู„ู„ูŠ ู‡ูŠุดุฑุญู‡ ู„ู…ูˆุถูˆุน ู‡ุฐุง ูƒู„ู‡ ูˆุจู†ู‚ู ู„ุบุงูŠุฉ
1932
+
1933
+ 484
1934
+ 00:39:22,360 --> 00:39:28,580
1935
+ ุงู„ุจุฑูˆุจูˆุฑุดู† ุงู„ู„ูŠ ู‡ูˆ ู„ุบุงูŠุฉ hypothesis test for
1936
+
1937
+ 485
1938
+ 00:39:28,580 --> 00:39:29,120
1939
+ proportion
1940
+
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@@ -0,0 +1,1980 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,410 --> 00:00:24,330
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… we will
4
+
5
+ 2
6
+ 00:00:24,330 --> 00:00:28,470
7
+ continue chapter 9 in this class we will talk
8
+
9
+ 3
10
+ 00:00:28,470 --> 00:00:32,150
11
+ about hypothesis test for the mean as we mentioned
12
+
13
+ 4
14
+ 00:00:32,150 --> 00:00:41,080
15
+ before there are two claimsุฃูˆ ุงุชุฌุงู‡ูŠู† ู„ู‡ุฐุง ุงู„ุญู„ู‚ู‡
16
+
17
+ 5
18
+ 00:00:41,080 --> 00:00:46,300
19
+ ุงู„ุฃูˆู„ ู‡ูˆ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชู‡ูŠุฒ ู„ู„ู…ูŠุงู†ู‡ ูˆุงู„ุชุงู„ู‡ ุงู† ุดุงุก
20
+
21
+ 6
22
+ 00:00:46,300 --> 00:00:49,020
23
+ ุงู„ู„ู‡ ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู‡ูŠ ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชู‡ูŠุฒ ู„ู„ู…ูŠุงู†ู‡
24
+
25
+ 7
26
+ 00:00:49,020 --> 00:00:59,980
27
+ ูุณุฃุจุฏุฃ ุจุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชู‡ูŠุฒ ู„ู„ู…ูŠุงู†ู‡
28
+
29
+ 8
30
+ 00:01:07,460 --> 00:01:11,620
31
+ ุงู„ุนู†ูˆุงู† ุงู„ู„ูŠ ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุฑูƒุฒ ุนู„ู‰ ุนุฏุฏ ุงู„ู…ุฌุชู…ุน ู„ุฃู†
32
+
33
+ 9
34
+ 00:01:11,620 --> 00:01:15,540
35
+ ุนุฏุฏ ุงู„ู…ุฌุชู…ุน ุนุงู…ู‹ุง ููŠ ุงู„ู…ุดูƒู„ุฉ ุงู„ุนู…ู„ูŠุฉ ุบูŠุฑ ู…ุนุฑูˆูุŒ
36
+
37
+ 10
38
+ 00:01:15,540 --> 00:01:20,360
39
+ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ุชุฌุฑุจุชู†ุง ูŠูƒูˆู† ุญูˆู„ ุนุฏุฏ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฐู„ูƒ
40
+
41
+ 11
42
+ 00:01:20,360 --> 00:01:26,720
43
+ ุชุฌุฑุจุฉ ุงู„ุญูŠูˆุงู†ุงุช ู„ู„ู€MU ุฏุงุฆู…ู‹ุง ู†ุญู† ู†ุฌุฑุจ ุนู† ุงู„ูˆุงุถุญุงุชุŒ
44
+
45
+ 12
46
+ 00:01:26,720 --> 00:01:31,780
47
+ ุนู† ู‚ูŠู… ุบูŠุฑ ู…ุนุฑูˆูุฉ ุงู„ูˆุงุถุญุงุช ุนุงุฏุฉ ุบูŠุฑ ู…ุนุฑูˆูุฉุŒ ู„ุฐุง
48
+
49
+ 13
50
+ 00:01:31,780 --> 00:01:36,020
51
+ ู†ุญู† ู†ุฌุฑุจ ุนู† ู‡ุฐู‡ ุงู„ูˆุงุถุญุงุช ุบูŠุฑ ู…ุนุฑูˆูุฉุงู„ูŠูˆู… ุณุฃู‚ูˆู…
52
+
53
+ 14
54
+ 00:01:36,020 --> 00:01:39,480
55
+ ุจู…ู‚ุงุทุน ู…ูŠู† ูˆุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ู…ู‚ุงุทุนุฉ
56
+
57
+ 15
58
+ 00:01:39,480 --> 00:01:46,340
59
+ ูˆุงู„ู…ู‚ุงุฑู†ุฉ ูˆุงู„ุงู† ู„ู„ู…ู‚ุงุทุน ู…ูŠู† ู…ูŠูˆู† ู‡ู†ุงูƒ ุงุชุฌุงุฑุจูŠู† ู…ู†
60
+
61
+ 16
62
+ 00:01:46,340 --> 00:01:52,080
63
+ ุณูŠุฌู…ุง ุงูˆ ุณูŠุฌู…ุง ู…ุณุชุฎุฏู… ุงุนู†ูŠ ุณูŠุฌู…ุง ู…ุนุฑูˆู ูˆุณูŠุฌู…ุง ุบูŠุฑ
64
+
65
+ 17
66
+ 00:01:52,080 --> 00:01:54,400
67
+ ู…ุนุฑูˆู ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุณุฃู‚ูˆู… ุจู…ู‚ุงุทุนุฉ ู…ุฌุฑุฏ ุณูŠุฌู…ุง
68
+
69
+ 18
70
+ 00:01:54,400 --> 00:02:00,000
71
+ ู…ุนุฑูˆู ูˆุณู†ุณุชุฎุฏู… ุงู„ุงุฎุชุตุงุฑ ุงู„ุฒูŠ ุงู„ุฐูŠ ุฐูƒุฑู†ุงู‡ ููŠ ุดุฑุจุฑ 3
72
+
73
+ 19
74
+ 00:02:00,000 --> 00:02:07,470
75
+ 6 ูˆ7ุงู„ุงู† ุฏุนูˆู†ุง ู†ุจุฏุฃ ุฃูˆู„ ุฎุทูˆุฉ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุฅุชุตุงู„
76
+
77
+ 20
78
+ 00:02:07,470 --> 00:02:14,030
79
+ ุณุงู…ุจู„ .. ุณุงู…ุจู„ ู…ูŠู† ู‡ูŠ X bar to Z score ุงูˆ Z
80
+
81
+ 21
82
+ 00:02:14,030 --> 00:02:20,690
83
+ statistic ูˆู†ุนุฑู ุงู† ุงุฐุง ูƒุงู† ู„ุฏูŠู†ุง X bar ู„ุฅุชุตุงู„ X
84
+
85
+ 22
86
+ 00:02:20,690 --> 00:02:28,090
87
+ bar to Z ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… X barุŒ ู‚ูŠู…ุฉ ุณุงู…ุจู„ ู…ูŠู†
88
+
89
+ 23
90
+ 00:02:28,090 --> 00:02:37,020
91
+ ู…ุงู†ุณุฉ ู…ูŠู†ู‡ุง ูˆู‡ูŠ ู…ูŠูˆู…ุน ุณูŠุฌู…ุง ู…ู† X ุจุงุฑ ูˆู‡ูˆ ุณูŠุฌู…ุง ุนู„ู‰
92
+
93
+ 24
94
+ 00:02:37,020 --> 00:02:42,040
95
+ ุณุจูŠุฑุชุฑุงู†ุŒ ูู‡ุฐุง ู‡ูˆ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉ ุงู„ุชูŠ
96
+
97
+ 25
98
+ 00:02:42,040 --> 00:02:49,880
99
+ ุงุณู…ู‡ุง ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉุŒ ูƒูŠู
100
+
101
+ 26
102
+ 00:02:49,880 --> 00:02:54,760
103
+ ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉ ุฃูƒุชุฑ ููŠ ุงู„ุญู„ู‚ุฉ
104
+
105
+ 27
106
+ 00:02:54,760 --> 00:02:58,930
107
+ ุงู„ุณุงุฏุณุฉุงู„ุฎุทูˆุฉ ุงู„ุชุงู„ูŠุฉ ู‡ูŠ ุงู† ุชุฎุชุงุฑ ุงู„ูˆุถุน ู„ู€ x bar
108
+
109
+ 28
110
+ 00:02:58,930 --> 00:03:06,270
111
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
112
+
113
+ 29
114
+ 00:03:06,270 --> 00:03:06,730
115
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
116
+
117
+ 30
118
+ 00:03:06,730 --> 00:03:10,390
119
+ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ
120
+
121
+ 31
122
+ 00:03:10,390 --> 00:03:11,010
123
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
124
+
125
+ 32
126
+ 00:03:11,010 --> 00:03:11,070
127
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
128
+
129
+ 33
130
+ 00:03:11,070 --> 00:03:11,070
131
+ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ
132
+
133
+ 34
134
+ 00:03:11,070 --> 00:03:11,090
135
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡
136
+
137
+ 35
138
+ 00:03:11,090 --> 00:03:12,350
139
+ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ
140
+
141
+ 36
142
+ 00:03:12,350 --> 00:03:12,590
143
+ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ
144
+
145
+ 37
146
+ 00:03:12,590 --> 00:03:16,270
147
+ ููŠ ุงู„ุญู„ู‚ู‡ ุงู„ุณุงุจุนุฉ ููŠ ุงู„ุญู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ ุนุงุฏูŠุฉู‹ ู‡ู†ุงูƒ
148
+
149
+ 38
150
+ 00:03:16,270 --> 00:03:20,570
151
+ ุงุชุฌุงุฑุจูŠู† ุงูˆู„ุฉ ุงุณู…ู‡ุง ุชุฌุงุฑุจ ุชุฌุงุฑุจ ู‚ูŠู…ุฉ ู…ู‡ู…ุฉ ุชุฌุงุฑุจ
152
+
153
+ 39
154
+ 00:03:20,570 --> 00:03:22,890
155
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
156
+
157
+ 40
158
+ 00:03:22,890 --> 00:03:22,930
159
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
160
+
161
+ 41
162
+ 00:03:22,930 --> 00:03:22,950
163
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
164
+
165
+ 42
166
+ 00:03:22,950 --> 00:03:23,030
167
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
168
+
169
+ 43
170
+ 00:03:23,030 --> 00:03:23,230
171
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
172
+
173
+ 44
174
+ 00:03:23,230 --> 00:03:23,230
175
+ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุชุฌุงุฑุจ
176
+
177
+ 45
178
+ 00:03:41,900 --> 00:03:45,740
179
+ ู…ุฐูƒุฑุฉ ู‚ุฑูŠุจุฉ ู„ู€ Critical Value Approach ู‡ู†ุงูƒ ุซู„ุงุซุฉ
180
+
181
+ 46
182
+ 00:03:45,740 --> 00:03:51,840
183
+ ุญุงู„ุงุช ุชูˆุชูŠู„ุช ุชูˆุชูŠู„ุช
184
+
185
+ 47
186
+ 00:03:51,840 --> 00:03:58,240
187
+ ุชุณุช ุชูˆุชูŠู„ุช ูŠุนู†ูŠ ุฃู†ู†ุง ู†ุชูƒู„ู… ุนู† ู…ูŠูˆ ู„ุง ูŠู…ูŠุฒ ู‚ูŠู…ุฉ
188
+
189
+ 48
190
+ 00:03:58,240 --> 00:04:04,660
191
+ ุชุงุฑูŠุฎูŠุฉ ุฃูˆ ู‚ูŠู…ุฉ ุชุฎูŠู‘ุฑ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู‚ูŠู…ุฉ ุชุฎูŠู‘ุฑ
192
+
193
+ 49
194
+ 00:04:04,660 --> 00:04:11,440
195
+ ู‡ุฐู‡ ุชุฎูŠู‘ุฑูŠุฉ ุชุณู…ู‰ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ุณุชุฎุฏู… ู‡ุฐุง ู…ุณุชุฎุฏู…
196
+
197
+ 50
198
+ 00:04:14,880 --> 00:04:19,500
199
+ ุงู„ุงู† ู„ู€ 2TL ู„ุฏูŠู†ุง ู…ูŠูˆ ู„ุง ูŠู‚ู„ ู…ูŠูˆ ุฒุฑุน ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
200
+
201
+ 51
202
+ 00:04:19,500 --> 00:04:24,940
203
+ ู‡ู†ุงูƒ ุงุซู†ูŠู† ู‚ูŠู…ุงุช ู…ู‡ู…ุฉ ูˆุงุญุฏุฉ
204
+
205
+ 52
206
+ 00:04:24,940 --> 00:04:30,180
207
+ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ูŠุณุฑู‰ ูˆุงู„ุงุฎุฑ ุนู„ู‰ ุงู„ูŠุณุงุฑ
208
+
209
+ 53
210
+ 00:04:32,920 --> 00:04:35,120
211
+ ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูˆุงู†ูŠู† ู‡ูŠ ู†ูุณู‡ุงุŒ ุฃุนู†ูŠ ู„ุฏูŠู‡ุง ู‚ูŠู…ุฉ
212
+
213
+ 54
214
+ 00:04:35,120 --> 00:04:39,020
215
+ ู†ูุณู‡ุง ูˆู„ูƒู† ููŠ ุงู„ุงุชุฌุงู‡ ุงู„ุชุนุฑูŠู ุŒ ู„ุฐู„ูƒ ูˆุงุญุฏ ู…ูˆุฌูˆุฏ
216
+
217
+ 55
218
+ 00:04:39,020 --> 00:04:43,140
219
+ ูˆุงู„ุขุฎุฑ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู†ู‚ู„ูŠ ุŒ ูุฅู†ู†ุง ู†ุนุชู‚ุฏ ุฃู† ุงู„ู ุฃุนุทู‰
220
+
221
+ 56
222
+ 00:04:43,140 --> 00:04:49,960
223
+ ูˆ ุงู„ู ุงุฐุง ูƒู†ุช ุชุชุฐูƒุฑ ุงู„ู ุงู„ู ู‡ูˆ ู…ุฑุชูุน ู…ุฑุชูุน
224
+
225
+ 57
226
+ 00:04:52,340 --> 00:04:55,600
227
+ of significance and we mentioned last time alpha
228
+
229
+ 58
230
+ 00:04:55,600 --> 00:04:58,480
231
+ is a probability of type one error and we
232
+
233
+ 59
234
+ 00:04:58,480 --> 00:05:02,720
235
+ mentioned type one error is rejected zero when it
236
+
237
+ 60
238
+ 00:05:02,720 --> 00:05:06,200
239
+ is true so alpha is a probability of type one
240
+
241
+ 61
242
+ 00:05:06,200 --> 00:05:09,680
243
+ error it means alpha probability of rejecting zero
244
+
245
+ 62
246
+ 00:05:09,680 --> 00:05:13,580
247
+ when in fact zero is true ุงุฐุง alpha ุนุจุงุฑุฉ ุนู† ู…ุณุชูˆู‰
248
+
249
+ 63
250
+ 00:05:13,580 --> 00:05:16,780
251
+ ุงู„ู…ุนู†ูˆูŠุฉ ูˆู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงุญุชู…ุงู„ ุงู„ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู†
252
+
253
+ 64
254
+ 00:05:16,780 --> 00:05:20,400
255
+ ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงุญุชู…ุงู„ ุฑูุถ ุงู„ูุฑุถูŠุฉ ุงู„ุตูุฑูŠุฉ ูˆู‡ูŠ
256
+
257
+ 65
258
+ 00:05:20,400 --> 00:05:28,850
259
+ ุตุญูŠุญุฉุงู„ุฃู„ู ูŠุชู… ุฅุนุทุงุฆู‡ุง ุจุณุจุจ ุฃู†ู‡ุง ู…ุฑุชุจุทุฉ ู†ุญู† ู„ุฏูŠู†ุง
260
+
261
+ 66
262
+ 00:05:28,850 --> 00:05:32,450
263
+ ู…ุฑุชุจุทุงุช ุนุงู…ุฉ ู…ุฑุชุจุทุฉ ุญูˆู„ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ู„ุฐู„ูƒ ุฃู„ู ุฃูƒุชุฑ ู…ู†
264
+
265
+ 67
266
+ 00:05:32,450 --> 00:05:37,110
267
+ 2 ุฅู„ู‰ ุงู„ุฌุงู†ุจ ูˆ ุฃูŠุถู‹ุง ุฃู„ู ุฃูƒุชุฑ ู…ู† 2 ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู†
268
+
269
+ 68
270
+ 00:05:37,110 --> 00:05:43,210
271
+ ู†ุบู… Z ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุงุก ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุจูŠุถุงุก ู‡ูŠ
272
+
273
+ 69
274
+ 00:05:43,210 --> 00:05:50,810
275
+ ู…ู†ุทู‚ุฉ
276
+
277
+ 70
278
+ 00:05:50,810 --> 00:05:58,700
279
+ ุนุฏู… ุบูู„ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจุงู‚ู‡ Z ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุจุงู‚ู‡ Z
280
+
281
+ 71
282
+ 00:05:58,700 --> 00:06:08,360
283
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุงุช ุชุณู…ู‰ ุจู€ Rejection Regions ุฅุฐุง ูƒุงู†ุช
284
+
285
+ 72
286
+ 00:06:08,360 --> 00:06:13,380
287
+ ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2
288
+
289
+ 73
290
+ 00:06:13,380 --> 00:06:17,200
291
+ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน
292
+
293
+ 74
294
+ 00:06:17,200 --> 00:06:19,800
295
+ Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ู…ู‚ุงุทุน Rejection
296
+
297
+ 75
298
+ 00:06:19,800 --> 00:06:21,900
299
+ Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง
300
+
301
+ 76
302
+ 00:06:21,900 --> 00:06:22,060
303
+ ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ
304
+
305
+ 77
306
+ 00:06:22,060 --> 00:06:22,220
307
+ ู…ู‚ุงุทุน Rejection Regions ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ู…ู‚ุงุทุน
308
+
309
+ 78
310
+ 00:06:22,220 --> 00:06:30,540
311
+ Rejection Regionsู‡ุฐุง ุนุงูŠุฒู†ุง ุฃู† ู‡ุฐุง a part b if mu
312
+
313
+ 79
314
+ 00:06:30,540 --> 00:06:35,380
315
+ greater than mu 0 this is called one-tailed test I
316
+
317
+ 80
318
+ 00:06:35,380 --> 00:06:37,620
319
+ mean upper tail because we are talking about mu
320
+
321
+ 81
322
+ 00:06:37,620 --> 00:06:41,700
323
+ greater than so mu greater than it means the area
324
+
325
+ 82
326
+ 00:06:41,700 --> 00:06:49,900
327
+ to the right so this is just alpha so
328
+
329
+ 83
330
+ 00:06:49,900 --> 00:06:53,700
331
+ this is the rejection regionูˆ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฑูˆุญูŠุฉ
332
+
333
+ 84
334
+ 00:06:53,700 --> 00:06:59,180
335
+ ู…ุฌุฏุฏุง ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† Z ู‡ูŠ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
336
+
337
+ 85
338
+ 00:06:59,180 --> 00:07:00,440
339
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
340
+
341
+ 86
342
+ 00:07:00,440 --> 00:07:02,460
343
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
344
+
345
+ 87
346
+ 00:07:02,460 --> 00:07:03,680
347
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
348
+
349
+ 88
350
+ 00:07:03,680 --> 00:07:05,380
351
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
352
+
353
+ 89
354
+ 00:07:05,380 --> 00:07:05,440
355
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
356
+
357
+ 90
358
+ 00:07:05,440 --> 00:07:20,540
359
+ ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง ู…ุฌุฏุฏุง
360
+
361
+ 91
362
+ 00:07:24,400 --> 00:07:30,460
363
+ ู‡ุฐุง ู‡ูˆ ุงู„ุชุฌุงุฑุจ ุงู„ุฑุฆูŠุณูŠุฉ ู„ู„ู‚ูŠู… ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฌุงุฑุจ ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:07:30,460 --> 00:07:38,140
367
+ ุงู„ู‚ูŠู… ุจุงุณุชุฎุฏุงู… ุงู„ุงุณู…ุชุญุฑุฑ ุงู„ู‚ูŠู… ุงู„ู…ู‡ู…ุฉ ุจุงู„ู‚ูŠู… ู„ุฌู‡ุฉ
368
+
369
+ 93
370
+ 00:07:38,140 --> 00:07:43,080
371
+ ู…ุนุฑูˆูุฉ ู…ุซู„ู…ุง ุฐูƒุฑู†ุงู‡ุง ู‚ุจู„ ุจุงุณุชุฎุฏุงู… ูƒุชุงุจุฉ Z ุฃูˆ
372
+
373
+ 94
374
+ 00:07:43,080 --> 00:07:47,220
375
+ ุจุงุณุชุฎุฏุงู… ุตูุญุฉ ุงู„ูƒู…ุจูŠูˆุชุฑ ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู†ุณุชุฎุฏู… ูู‚ุท
376
+
377
+ 95
378
+ 00:07:47,220 --> 00:07:52,220
379
+ ุงู„ูƒุชุงุจุฉ ุงู„ุชุงู„ูŠุฉ ู‡ูŠ ุงู„ู…ูˆุถูˆุน ุงู„ู…ู‡ู… ุฌุฏู‹ุง ู‡ู†ุง ู‚ุฑุงุฑ
380
+
381
+ 96
382
+ 00:07:52,220 --> 00:07:59,480
383
+ ุงู„ุฎุทูˆุท ู‚ุฑุงุฑ
384
+
385
+ 97
386
+ 00:07:59,480 --> 00:08:04,590
387
+ ุงู„ุฎุทูˆุท ูƒูŠู ู†ู‚ุฑุฑ ุงู† ู†ู‚ุฑุฑ ุงูˆ ู„ุง ู†ู‚ุฑุฑุฅุฐุง ูƒุชุงุจุฉ
388
+
389
+ 98
390
+ 00:08:04,590 --> 00:08:09,390
391
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ
392
+
393
+ 99
394
+ 00:08:09,390 --> 00:08:12,490
395
+ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ูุฅู† ุงู„ุงุฎุชุจุงุฑ ูŠู†ู‚ู„ ุฅู„ู‰ ู†ู‚ุทุฉ
396
+
397
+ 100
398
+ 00:08:12,490 --> 00:08:18,250
399
+ ุฃุฒุฑุน ุจุนุฏ ุฃู† ุชู‚ูˆู… ุจุชู†ุจูŠู‡ ู‡ุฐู‡ ุงู„ูƒุชุงุจุฉ ุงู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง Z
400
+
401
+ 101
402
+ 00:08:18,250 --> 00:08:21,110
403
+ ูู‡ูˆ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุŸ ุฅุฐุง ูƒุชุงุจุฉ
404
+
405
+ 102
406
+ 00:08:21,110 --> 00:08:21,750
407
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุง ูƒุชุงุจุฉ
408
+
409
+ 103
410
+ 00:08:21,750 --> 00:08:26,150
411
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุง ูƒุชุงุจุฉ
412
+
413
+ 104
414
+ 00:08:26,150 --> 00:08:36,260
415
+ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠin the rejection region then
416
+
417
+ 105
418
+ 00:08:36,260 --> 00:08:43,740
419
+ we reject H0 otherwise we don't reject or we fail
420
+
421
+ 106
422
+ 00:08:43,740 --> 00:08:51,500
423
+ to reject H0 ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุณู‡ู„ ุจุญุณุจ ุงู„ Z statistic ู…ู†
424
+
425
+ 107
426
+ 00:08:51,500 --> 00:08:56,840
427
+ chapter 7 ุจุญุณุจ ุงู„ critical values ู‡ุฏูˆู„ ูˆ ุจุญุฏุฏ ุงู„
428
+
429
+ 108
430
+ 00:08:56,840 --> 00:09:03,110
431
+ regions ู…ู† chapter ูˆูŠู†ุŸ chapter 6ู…ุด ุจุณุชุฎุฏู… ุงู„ุณุชุฉ
432
+
433
+ 109
434
+ 00:09:03,110 --> 00:09:06,650
435
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุงู„ุช ุณุจุนุฉ ุฃูˆ ุณุชุฉ chapter ุชุณุนุฉ ุจุณ ุญูƒู‰
436
+
437
+ 110
438
+ 00:09:06,650 --> 00:09:09,910
439
+ ู…ุนู„ูˆู…ุงุช ุฒูŠุงุฏุฉ ุฌุฏูŠุฏุฉ ุงู„ decision rule ุจูŠุญูƒูŠ ุฅุฐุง
440
+
441
+ 111
442
+ 00:09:09,910 --> 00:09:13,370
443
+ ูƒุงู†ุช ุฒูŠ ุงู„ statistic falls in the rejection region
444
+
445
+ 112
446
+ 00:09:13,370 --> 00:09:15,570
447
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„ู‰ ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุฃูˆ ุฃู‚ู„ ู…ู†
448
+
449
+ 113
450
+ 00:09:15,570 --> 00:09:19,430
451
+ ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ then reject ุฅุฐุง ูƒุงู†ุช upper tail ุฅุฐุง
452
+
453
+ 114
454
+ 00:09:19,430 --> 00:09:24,310
455
+ ูƒุงู†ุช ู‡ู†ุง ูŠุนู†ูŠ ุฒูŠ ุฃูƒุจุฑ ุฅุฐุง ูƒุงู†ุช lower tail ุชูƒูˆู†
456
+
457
+ 115
458
+ 00:09:24,310 --> 00:09:27,330
459
+ ุฃุตุบุฑ then in this case we reject otherwise we
460
+
461
+ 116
462
+ 00:09:27,330 --> 00:09:32,170
463
+ don't rejectุฎุตูˆุตู‹ุงุŒ ู‡ู†ุงูƒ ุณุช ุฎุทูˆุงุช ููŠ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
464
+
465
+ 117
466
+ 00:09:32,170 --> 00:09:39,870
467
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฉ ููŠ ุณุช ุฎุทูˆุงุช ู„ู„ุชุฌุงุฑุจ ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจ
468
+
469
+ 118
470
+ 00:09:39,870 --> 00:09:41,410
471
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฉ ุงู„ุญูŠูˆุงู†ูŠ ุฃู…ุดูŠ ุนู„ูŠู‡ู… ูˆุงุญุฏ ุนู„ู‰ ูˆุงุญุฏ
472
+
473
+ 119
474
+ 00:09:41,410 --> 00:09:46,830
475
+ ุงู„ุฃูˆู„ ู‡ูˆ ุงู„ู€ null and alternative hypothesis ุฃูƒุชุจ
476
+
477
+ 120
478
+ 00:09:46,830 --> 00:09:52,930
479
+ H0 ูˆH1 ุทุจุนุง ุจูƒุชุจูˆุง ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ู…ุซู„ุฉ ู†ูุณู‡ุงุŒ ุฅู…ุง ู‡ู…
480
+
481
+ 121
482
+ 00:09:52,930 --> 00:09:59,580
483
+ ู…ูุนุฑูˆููŠู† ู…ุจุงุดุฑุฉุฃูˆ ูŠุฌุจ ุฃู† ุชูุชุญ ูƒูŠููŠุฉ ุชุฎุทูŠุท ุงู„ู€ null
484
+
485
+ 122
486
+ 00:09:59,580 --> 00:10:03,300
487
+ and alternative hypothesis ุจุงุณุชุฎุฏุงู… ุงู„ู…ุดูƒู„ุฉ ู†ูุณู‡ุง
488
+
489
+ 123
490
+ 00:10:03,300 --> 00:10:06,580
491
+ ูŠุง ุฅู…ุง ู…ู† ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุจุชุงุนุชูƒูŠ ู…ู† ุฌุงู‡ุฒูŠู† ุฃูˆ ุฃู†ุช
492
+
493
+ 124
494
+ 00:10:06,580 --> 00:10:13,380
495
+ ู„ุญุงู„ูƒ ุจุฏูƒ ุชุนุฑููŠ ูƒูŠู ุงูƒุชุจู‡ุง ู…ู† ุฎู„ุงู„ ุตูŠุบุฉ ุงู„ู…ุซู„ุฉ ุฅุฐุง
496
+
497
+ 125
498
+ 00:10:13,380 --> 00:10:18,220
499
+ ูˆุงุญุฏ ู…ู‡ู…ุฉ number two choose the level of
500
+
501
+ 126
502
+ 00:10:18,220 --> 00:10:23,640
503
+ significance alpha ุทุจุนุง ุงู„ alpha is given usually
504
+
505
+ 127
506
+ 00:10:25,450 --> 00:10:29,710
507
+ ู†ุณุชุฎุฏู… ุฃู„ูุฉ ู„ุชูƒูˆู† 5% ูˆุฅู„ุง ูุงู„ุฃู„ูุฉ ุณุชูƒูˆู† ู…ุณุชุฎุฏู…ุฉ
508
+
509
+ 128
510
+ 00:10:29,710 --> 00:10:35,090
511
+ ุฅุฐุง ู„ู… ูŠูƒู† ุฃู„ูุฉ ู…ุณุชุฎุฏู…ุฉ ูุงุณุชุฎุฏู… ูู‚ุท ุฃู„ูุฉ 5% ูŠุนู†ูŠ
512
+
513
+ 129
514
+ 00:10:35,090 --> 00:10:39,690
515
+ ู„ูˆ ุฃู„ูุฉ ู…ุด ู…ุนุทูˆุจุฉ ูˆู…ุนุทุงู ุงู„ู…ุซู„ุฉ ุจุณุชุฎุฏู… ุฎู…ุณุฉ ููŠ
516
+
517
+ 130
518
+ 00:10:39,690 --> 00:10:46,770
519
+ ุงู„ู…ูŠุฉ ู„ูƒู† ู„ูˆ ุฃุนุทุงู†ูŠ ุชู„ุงุชุฉ ุงุชู†ูŠู† ูˆุงุญุฏ ุจุณุชุฎุฏู…ู‡ู… ุฅุฐุง
520
+
521
+ 131
522
+ 00:10:46,770 --> 00:10:52,150
523
+ ู†ุฎุชุงุฑ ู…ุฑุชูุน ุฃู„ูุฉ ูˆู…ุนุฏู„ ุตู…ูŠู… N ุทุจุนุง ุงู„ N ู…ุณุชุฎุฏู…
524
+
525
+ 132
526
+ 00:10:52,150 --> 00:10:54,030
527
+ ู„ู…ุนุฏู„ ุตู…ูŠู…
528
+
529
+ 133
530
+ 00:10:57,730 --> 00:11:00,610
531
+ determine the appropriate test statistic and
532
+
533
+ 134
534
+ 00:11:00,610 --> 00:11:03,730
535
+ sampling distribution ู…ู‡ู… ุฌุฏุง ุจุชุนุฑู ู…ู† ุงู„ test
536
+
537
+ 135
538
+ 00:11:03,730 --> 00:11:07,150
539
+ statistic the appropriate one if sigma is known
540
+
541
+ 136
542
+ 00:11:07,150 --> 00:11:11,530
543
+ today we are talking about sigma is given so my z
544
+
545
+ 137
546
+ 00:11:11,530 --> 00:11:15,110
547
+ statistic is this one my test statistic is this
548
+
549
+ 138
550
+ 00:11:15,110 --> 00:11:19,510
551
+ one ุงุฐุง ู‡ู†ุง ู‡ุฐู‡ ุงู„ู…ู‡ู…ุฉ ุจุชุญุฏุฏ ุงู„ุงุฎุชุจุงุฑ ุงู„ู…ู†ุงุณุจ ุงู„ู„ูŠ
552
+
553
+ 139
554
+ 00:11:19,510 --> 00:11:22,570
555
+ ู‡ูˆ ุงู„ appropriate test statistic in this case we
556
+
557
+ 140
558
+ 00:11:22,570 --> 00:11:25,850
559
+ have only one test so far ู…ุงุนู†ุงุด ุงู„ุงุฎุชุจุงุฑ ูˆุงุญุฏ ุญุชู‰
560
+
561
+ 141
562
+ 00:11:25,850 --> 00:11:29,700
563
+ ู„ุงู† ุดุงูŠูู‡ูˆ Z-test ู„ูƒู† ู„ู‚ุงุก ุงู„ุฌุงูŠ .. ู„ู‚ุงุก ุงู„ุฌุงูŠ
564
+
565
+ 142
566
+ 00:11:29,700 --> 00:11:33,720
567
+ ู‡ูƒูˆู† ููŠู‡ test ุฌุฏูŠุฏ ู„ู…ุง ู†ุฏุฎู„ ุนู„ู‰ chapter 10 ู‡ูŠูƒูˆู†
568
+
569
+ 143
570
+ 00:11:33,720 --> 00:11:38,220
571
+ test ุฌุฏูŠุฏุฉ ุจุชุงุน ู‡ุงุฎุฏุฑ ู…ู†ู‡ู… ู„ุงุฎุชุจุงุฑ ุงู„ู…ู†ุงุณุจ ู„ูƒู†
572
+
573
+ 144
574
+ 00:11:38,220 --> 00:11:42,740
575
+ ุจู†ุณุฃู„ ู„ู‚ุงุก ุงู„ูŠูˆู… ู…ุงููŠุด ุงู„ุง test ูˆุงุญุฏ ุทุงู„ู…ุง ุฃุชูƒู„ู…
576
+
577
+ 145
578
+ 00:11:42,740 --> 00:11:46,620
579
+ ู…ุน ุนู„ู…ูŠู† ูˆ ุงู„ sigma is unknown ุจุณุชุฎุฏู… ุงู„ Z
580
+
581
+ 146
582
+ 00:11:46,620 --> 00:11:53,720
583
+ statistic ุฑู‚ู… ุฃุฑุจุนุฉ determine the critical values
584
+
585
+ 147
586
+ 00:11:53,720 --> 00:11:59,530
587
+ ุงู„ู„ูŠ ู‡ู… ู‡ุฏูˆู„ุญูƒูŠู†ุง ุนู†ู‡ุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุฑุฉ that
588
+
589
+ 148
590
+ 00:11:59,530 --> 00:12:01,790
591
+ divide the rejection and non rejection regions
592
+
593
+ 149
594
+ 00:12:01,790 --> 00:12:06,470
595
+ ุงู„ู„ูŠ ู‡ูŠ ุจุชู‚ุณู… ู„ู…ู†ุทู‚ุชูŠู† ู‡ูŠ normal curve underneath
596
+
597
+ 150
598
+ 00:12:06,470 --> 00:12:12,090
599
+ the curve z critical values split the curve into
600
+
601
+ 151
602
+ 00:12:12,090 --> 00:12:16,250
603
+ two regions one is called non rejection and other
604
+
605
+ 152
606
+ 00:12:16,250 --> 00:12:19,610
607
+ rejection regions for two TL there are two
608
+
609
+ 153
610
+ 00:12:19,610 --> 00:12:22,490
611
+ rejection regions to the right and to the leftfor
612
+
613
+ 154
614
+ 00:12:22,490 --> 00:12:26,190
615
+ upper tail there is only one to the right and same
616
+
617
+ 155
618
+ 00:12:26,190 --> 00:12:29,390
619
+ for left tail there is only one to the left ุฅุฐุง ููŠ
620
+
621
+ 156
622
+ 00:12:29,390 --> 00:12:33,970
623
+ ุนู†ุฏูƒ ู…ู†ุทู‚ุชูŠู† ููŠ ุงู„ two-tailed ูˆู…ู†ุทู‚ุฉ ุนุงู„ูŠู…ูŠู† ููŠ ุงู„
624
+
625
+ 157
626
+ 00:12:33,970 --> 00:12:38,450
627
+ upper ูˆู…ู†ุทู‚ุฉ ุนุงู„ุดู…ุงู„ ููŠ ุงู„ lower ุฅุฐุง ุญุฏุฏุช ุงู„
628
+
629
+ 158
630
+ 00:12:38,450 --> 00:12:43,210
631
+ critical values number five collect data and
632
+
633
+ 159
634
+ 00:12:43,210 --> 00:12:47,590
635
+ compute the value of the statistic ุงุญุณุจ ุงุฌู…ุน ุงู„
636
+
637
+ 160
638
+ 00:12:47,590 --> 00:12:51,560
639
+ data ุทุจุนุง ุงู„ data ู‡ุชูƒูˆู† ุนู†ุฏ ุงู„ givenุจุณ ู‡ุญุณุจ ุงู„
640
+
641
+ 161
642
+ 00:12:51,560 --> 00:12:56,300
643
+ test ุงู„ statistic ู…ุน ูƒุฏู‡ we can merge five ู…ู…ูƒู†
644
+
645
+ 162
646
+ 00:12:56,300 --> 00:13:01,480
647
+ ุงุฏู…ุฌ ุฎู…ุณุฉ ู…ุน ุชู„ุงุชุฉ ู„ูˆ ุชู„ุงุชุฉ ุจูŠุญูƒูŠ determined
648
+
649
+ 163
650
+ 00:13:01,480 --> 00:13:07,100
651
+ appropriate statistic ุจุญุฏุฏู‡ ู‡ูŠู‡ ูˆ ุจุญุณุจู‡ ู„ุฐู„ูƒ ุชู„ุงุชุฉ
652
+
653
+ 164
654
+ 00:13:07,100 --> 00:13:11,500
655
+ ุฃูˆ ุฎู…ุณุฉ ุงุถูŠูู‡ู… ุงูˆ ุงุฏู…ุฌู‡ู… ู…ุน ุจุนุถ ุฑู‚ู… ุณุชุฉ ู…ู‡ู…ุฉ ู„ูŠุง
656
+
657
+ 165
658
+ 00:13:11,500 --> 00:13:14,900
659
+ make the statistical decision and state the
660
+
661
+ 166
662
+ 00:13:14,900 --> 00:13:18,660
663
+ managerial conclusion ู…ู‡ู… ุดุบู„ุชูŠู† ู„ุงู† ููŠ ุนู†ุฏูŠ ุงุนุทูŠ
664
+
665
+ 167
666
+ 00:13:18,660 --> 00:13:25,170
667
+ ุงู„ู‚ุฑุงุฑุงู„ุญุตุงุฆูŠ ุงู„ statistical decision ุจุนุฏูŠู† ุงูƒุชุจ
668
+
669
+ 168
670
+ 00:13:25,170 --> 00:13:29,270
671
+ conclusion ู†ุณู…ูŠู‡ managerial conclusion ุงู„ู‚ุฑุงุฑ
672
+
673
+ 169
674
+ 00:13:29,270 --> 00:13:33,230
675
+ ูƒุงู„ุงุชู‡ if the test statistics falls in the
676
+
677
+ 170
678
+ 00:13:33,230 --> 00:13:36,750
679
+ rejection region then we reject otherwise we don't
680
+
681
+ 171
682
+ 00:13:36,750 --> 00:13:40,110
683
+ ุงุฐุง if the test falls into the non rejection
684
+
685
+ 172
686
+ 00:13:40,110 --> 00:13:43,610
687
+ region we don't reject on the hypothesis ูŠุนู†ูŠ ุงุฐุง
688
+
689
+ 173
690
+ 00:13:43,610 --> 00:13:48,690
691
+ ูˆู‚ุน ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุจูŠุถุฉู†ุญู† ู„ุง ู†ุชูุฑุฌ ุฅุฐุง ูˆู‚ุน ููŠ
692
+
693
+ 174
694
+ 00:13:48,690 --> 00:13:51,450
695
+ ุงู„ .. to the right ุฃูˆ to the left it depends ู†ุญู†
696
+
697
+ 175
698
+ 00:13:51,450 --> 00:13:55,650
699
+ ู†ุชูุฑุฌ ุฅุฐุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชุชุณู„ู‚ ุฅู„ู‰ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชูุฑุฌูŠุฉ
700
+
701
+ 176
702
+ 00:13:55,650 --> 00:14:00,530
703
+ ู†ุชูุฑุฌ ู…ู† ุงู„ู€ null hypothesis ู‡ุฐุง ุงู„ู‚ุฑุงุฑ ุจุนุฏูŠู†
704
+
705
+ 177
706
+ 00:14:00,530 --> 00:14:03,410
707
+ express the managerial conclusion in the context
708
+
709
+ 178
710
+ 00:14:03,410 --> 00:14:08,210
711
+ of the problem ุชุจู‚ู‰ ููŠ ุณูŠุงู‚ุฉ ุงู„ู…ุซู„ุฉ ุฅุฐุง ู‡ูŠ six
712
+
713
+ 179
714
+ 00:14:08,210 --> 00:14:11,590
715
+ steps ู…ู† ุงู„ุฃูˆู„ state null and alternative
716
+
717
+ 180
718
+ 00:14:11,590 --> 00:14:15,660
719
+ hypothesis this must be givenุฃูˆ ูŠุฌุจ ุฃู† ุชุชุนุฑู ุนู„ู‰
720
+
721
+ 181
722
+ 00:14:15,660 --> 00:14:20,140
723
+ ูƒูŠููŠุฉ ุฅุฎุชูŠุงุฑ ุงู„ู€ null ุจุงุณุชุฎุฏุงู… ู…ุดูƒู„ุฉ ุงู„ูƒู„ุงู… ุงุฎุชุงุฑ
724
+
725
+ 182
726
+ 00:14:20,140 --> 00:14:24,500
727
+ ุงู„ูุง ุงู„ูุง ุงู„ุนุงุฏู„ ู‡ูˆ 5% ุฅู„ุง ุฃู†ู†ูŠ ุณุฃุฐูƒุฑ ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง
728
+
729
+ 183
730
+ 00:14:24,500 --> 00:14:31,920
731
+ ู„ู… ูŠูƒู† ุงู„ูุง 5% ุณู…ูƒุฉ ุงู„ู…ุฌู…ูˆุนุฉ ุณูŠุชู… ุฅุนุทุงุฆู‡ุง ุชุญุฑูŠุฑ
732
+
733
+ 184
734
+ 00:14:31,920 --> 00:14:36,320
735
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ู†ุงุณุจุฉ ู„ู„ูˆุถุน ุงู„ู„ูŠ ู„ุฏูŠู†ุง ุฅุฐุง ูƒู†ุง
736
+
737
+ 185
738
+ 00:14:36,320 --> 00:14:42,120
739
+ ู†ุชูƒู„ู… ุนู† ุชุฌุงุฑุจู„ู„ู…ุนู†ู‰ ูˆุฅู† ุณูŠุฌู…ุง ุบูŠุฑ ู…ุนุฑูˆู ุงู†ุง ุฃุณู
740
+
741
+ 186
742
+ 00:14:42,120 --> 00:14:47,380
743
+ ุฅุฐุง ูƒุงู† ุณูŠุฌู…ุง ู…ุนุฑูˆูู‹ุง ุซู… ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุซู…
744
+
745
+ 187
746
+ 00:14:47,380 --> 00:14:50,580
747
+ ู†ู‚ุฑุฑ ุงู„ู‚ูŠู… ุงู„ู…ู‡ู…ุฉ ูƒู…ุง ุฐูƒุฑู†ุง ูˆู†ู‚ุฑุฑ ุงู„ู…ู†ุทู‚ุงุช
748
+
749
+ 188
750
+ 00:14:50,580 --> 00:14:55,500
751
+ ุงู„ู…ูุงุฌุฆุฉ ูˆู„ู…ูุงุฌุฆุฉ ูˆู†ู‚ุฑุฑ
752
+
753
+ 189
754
+ 00:14:55,500 --> 00:15:02,560
755
+ ู‚ูŠู… ุงู„ุจูŠุงู†ุงุช ูƒู…ุง ุฐูƒุฑู†ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌู…ุน ุฎู…ุณุงู„ุซู„ุงุซ ููŠ
756
+
757
+ 190
758
+ 00:15:02,560 --> 00:15:08,060
759
+ ู†ูุณ ุงู„ู…ุฑุญู„ุฉ ูˆ ุฃุฎูŠุฑู‹ุง ุชุญุตู„ ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ ุงู„ุณูŠุงุณูŠุฉ ูˆ
760
+
761
+ 191
762
+ 00:15:08,060 --> 00:15:12,620
763
+ ุชุญุตู„ ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ ุงู„ูˆุทู†ูŠุฉ ุณุฃุนุทูŠ
764
+
765
+ 192
766
+ 00:15:12,620 --> 00:15:17,960
767
+ ู…ุซุงู„ ูˆุงุญุฏ ู…ุซู„ ู…ุง ู‚ู…ู†ุง ุจู‡ ู…ู† ู‚ุจู„ ููŠ ู‡ุฐุง ุงู„ู…ุซุงู„
768
+
769
+ 193
770
+ 00:15:17,960 --> 00:15:25,020
771
+ ุชุฌุงุฑุจ ุงู„ุงุฎุชุตุงุฑ ุจุฃู† ู…ุฏูุน ุงู„ุจุฑุชู‚ุงู„ ุงู„ูˆุงู‚ุนูŠ 30
772
+
773
+ 194
774
+ 00:15:25,020 --> 00:15:28,460
775
+ ู…ู„ูŠ ู…ุชุฑ ู„ุญุธุฉ ูˆ ุจูŠุญูƒูŠ ุนู„ู‰
776
+
777
+ 195
778
+ 00:15:33,490 --> 00:15:38,110
779
+ ุงู„ู…ูŠู† ู„ู…ุง ุจุญูƒูŠ true mean a true mean in statistics
780
+
781
+ 196
782
+ 00:15:38,110 --> 00:15:42,450
783
+ a true mean in statistics means population mean
784
+
785
+ 197
786
+ 00:15:42,450 --> 00:15:49,190
787
+ ุฎู„ุงุต ุนู… ุจุญูƒูŠ true mean ุจู‚ุตุฏ ุงู„ population mean
788
+
789
+ 198
790
+ 00:15:49,190 --> 00:15:56,970
791
+ ูˆุงุถุญ ูุจุงู„ุชุงู„ูŠ ุจุฎุชุจุฑ ุงู„ mu equality ูˆ
792
+
793
+ 199
794
+ 00:15:56,970 --> 00:16:00,750
795
+ assume sigma is point eight ุงุนุทุงู†ูŠ sigma sigma is
796
+
797
+ 200
798
+ 00:16:00,750 --> 00:16:06,070
799
+ givenุงู„ุงู† ู†ุชูƒู„ู… ุนู† ุงู„ุงุฎุชุจุงุฑ ู„ู€ mean ู…ูŠูˆ ูˆุงู„ุณูŠุฌู…ุง
800
+
801
+ 201
802
+ 00:16:06,070 --> 00:16:15,230
803
+ ู…ุนุฑูˆู ุจู…ุนุฑูุฉ ู…ูŠูˆ ูˆุงู„ุณูŠุฌู…ุง ุจู…ุนุฑูุฉ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
804
+
805
+ 202
806
+ 00:16:15,230 --> 00:16:19,230
807
+ ู…ูŠูˆ
808
+
809
+ 203
810
+ 00:16:19,230 --> 00:16:20,350
811
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
812
+
813
+ 204
814
+ 00:16:20,350 --> 00:16:20,350
815
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
816
+
817
+ 205
818
+ 00:16:20,350 --> 00:16:20,350
819
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
820
+
821
+ 206
822
+ 00:16:20,350 --> 00:16:20,350
823
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
824
+
825
+ 207
826
+ 00:16:20,350 --> 00:16:29,590
827
+ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
828
+
829
+ 208
830
+ 00:16:29,590 --> 00:16:31,070
831
+ ู…ูŠูˆ
832
+
833
+ 209
834
+ 00:16:33,430 --> 00:16:38,210
835
+ is not 30 ู„ู…ุง ููŠ ู…ุซู„ุฉ ุจุชูƒูˆู†ุด ู…ุนุฑูˆู ุงู„ุงุชุฌุงู‡
836
+
837
+ 210
838
+ 00:16:38,210 --> 00:16:41,390
839
+ ุงู„ู€direction greater or smaller than ุจุณุชุฎุฏู… does
840
+
841
+ 211
842
+ 00:16:41,390 --> 00:16:46,710
843
+ not equal ุทุจุนุงุŒ ูˆุงุถุญุŸ ุงุฐุง ู„ุญุธุฉ ูˆู…ุงุญูƒุงุด ุงุฎุชุจุงุฑ ุงูŠู‡
844
+
845
+ 212
846
+ 00:16:46,710 --> 00:16:50,370
847
+ ู…ูŠูˆ ุณุงูˆุฑุฉ ุชู„ุงุชูŠู† ู…ู‚ุงุจู„ุฉ ุชุณุงูˆูŠ ุญูƒู‰ test that claim
848
+
849
+ 213
850
+ 00:16:50,370 --> 00:16:53,870
851
+ that the true mean diameter equal thirty so ู…ูŠูˆ
852
+
853
+ 214
854
+ 00:16:53,870 --> 00:16:57,850
855
+ equal thirty each one should be ู…ูŠูˆ does not equal
856
+
857
+ 215
858
+ 00:16:57,850 --> 00:17:01,250
859
+ ู„ู…ุง ุฃูƒูˆู† ู…ุด ูˆุงุถุญ ููŠ ุงู„ู…ุซู„ุฉ ุงู„ุงุชุฌุงู‡ ุจุงุฎุฏู‡ุง two
860
+
861
+ 216
862
+ 00:17:01,250 --> 00:17:05,400
863
+ tailed ุชุณ ุนู„ู‰ ุทูˆู„ุŒ ูˆุงุถุญุŸุฅู†ุชุฌุงู‡ ู…ุด ูˆุงุถุญ ุฃูˆ ุชุนู…ู„ู‡ุง
864
+
865
+ 217
866
+ 00:17:05,400 --> 00:17:12,680
867
+ ู„ุง ูŠุณุงูˆูŠ ุฅุฐุงู‹ ู‡ุฐู‡ ุฃูˆู„ ุฎุทูˆุฉ ูƒุชุจุช ุงู„ู€ Null and
868
+
869
+ 218
870
+ 00:17:12,680 --> 00:17:18,460
871
+ Alternate Hypothesis ุณูŠุจุชูˆู† ุชุดุฑูŠุน ู…ุณุชูˆู‰ ุงู„ู…ุนุฑูˆู
872
+
873
+ 219
874
+ 00:17:18,460 --> 00:17:25,920
875
+ ูˆู…ุนุฑูˆู ุงู„ู…ุฌู…ูˆุนุฉ ููŠ ู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง ุฃู„ูุฉ 5% ูˆู…ุนุฑูˆู
876
+
877
+ 220
878
+ 00:17:25,920 --> 00:17:31,820
879
+ ุงู„ู…ุฌู…ูˆุนุฉ 100 ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ุณุชุฎุฏู…ุฉ ูู…ุนุฑูˆู ุงู„ู…ุฌู…ูˆุนุฉ ูŠุฌุจ
880
+
881
+ 221
882
+ 00:17:31,820 --> 00:17:35,780
883
+ ุฃู† ูŠูƒูˆู† ู…ุณุชุฎุฏู…ูˆุงู„ู€ Alpha ุฃูŠุถู‹ุง ู…ูุนุทูŽู‰ุŒ ูุงุนุชุจุงุฑ ุฃู†
884
+
885
+ 222
886
+ 00:17:35,780 --> 00:17:40,400
887
+ ุงู„ู€ Alpha ู‡ูˆ 5% ูˆ N ู‡ูˆ 100 ู…ูุนุทูŽู‰ุŒ ูู‡ูˆ ู…ูุฎุชุงุฑ ู„ู‡ุฐุง
888
+
889
+ 223
890
+ 00:17:40,400 --> 00:17:47,280
891
+ ุงู„ุงุฎุชุจุงุฑุŸ ู‡ู„ ู‡ุคู„ุงุก ุงู„ุฎู…ุณูŠู† ู…ู†ู‡ู… ู…ูุนุทูŽู‰ุŸ ุฑู‚ู… ุซุงู„ุซุŒ
892
+
893
+ 224
894
+ 00:17:47,280 --> 00:17:54,060
895
+ ู‚ุฑุฑ ุงู„ุชู‚ู†ูŠุฉ ุงู„ู…ู†ุงุณุจุฉุŒ ู‡ุฐุง ููŠ ุงู„ู‡ูŠุฆุฉ ุงู„ุฃู‡ู…ูŠุฉุŒ ู…ุง ู‡ูŠ
896
+
897
+ 225
898
+ 00:17:54,060 --> 00:18:01,280
899
+ ุงู„ุชู‚ู†ูŠุฉ ุงู„ู…ู†ุงุณุจุฉุŸ ุณูŠุฌู…ุง ู…ุนู„ูˆู…ุฉุŒ ุณูŠุฌู…ุง ู…ุนู„ูˆู…ุฉ ู‡ูŠ 0
900
+
901
+ 226
902
+ 00:18:01,280 --> 00:18:09,830
903
+ .8ู…ุน ูƒุฏู‡ ู‡ุณุชุฎุฏู… Z statistic sigma is none ุงุนุทุงู†ูŠ 0
904
+
905
+ 227
906
+ 00:18:09,830 --> 00:18:17,790
907
+ .8 ุงุฐุง ุจุณุชุฎุฏู… Z step step four determine the
908
+
909
+ 228
910
+ 00:18:17,790 --> 00:18:22,110
911
+ critical values in this problem alpha is five
912
+
913
+ 229
914
+ 00:18:22,110 --> 00:18:25,010
915
+ percent so the area to the right is zero to five
916
+
917
+ 230
918
+ 00:18:25,010 --> 00:18:31,760
919
+ to the left sameู„ุฃุฎุฑ ู…ุฑุฉ ู†ุฌุฏ ุฃู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‡ูŠ 196
920
+
921
+ 231
922
+ 00:18:31,760 --> 00:18:37,480
923
+ ูˆ-1.96 ู„ุฐู„ูƒ
924
+
925
+ 232
926
+ 00:18:37,480 --> 00:18:44,820
927
+ ุงู„ู‚ูŠู…ุฉ ุงู„ูƒุฑูŠุทูŠุฉ Z ูƒุฑูŠุทูŠุฉ ุงูˆ
928
+
929
+ 233
930
+ 00:18:44,820 --> 00:18:50,640
931
+ ู†ุณุชุฎุฏู…ู‡ุง ูู‚ุท Z*) ูู‚ุท ู„ูƒูŠ ู†ุนุฑู ุจูŠู† ุงู„ู‚ูŠู…ุฉ Z ูƒุฑูŠุทูŠุฉ
932
+
933
+ 234
934
+ 00:18:50,640 --> 00:18:57,770
935
+ ูˆู‚ูŠู…ุฉ ูƒุฑูŠุทูŠุฉ ูู‚ุท ู†ุณุชุฎุฏู… ู†ุชุงุฆุฌ ู…ุฎุชู„ูุฉู‚ูŠู…ุฉ ุงู„ุงุฎุชุจุงุฑ
936
+
937
+ 235
938
+ 00:18:57,770 --> 00:19:01,090
939
+ Z statistic ูˆ ุงู„ critical ุนุงู…ู„ุฉ Z star ูˆ Z
940
+
941
+ 236
942
+ 00:19:01,090 --> 00:19:04,350
943
+ critical ุฅุฐุง ูƒุงู† ู„ุฏูŠูƒ ู‚ูŠู…ุฉ ู…ุญุณุจุฉ ู„ู„ุงุฎุชุจุงุฑ ูˆ ู‚ูŠู…ุฉ
944
+
945
+ 237
946
+ 00:19:04,350 --> 00:19:11,610
947
+ ู…ุทู„ุนุฉ ู…ู† ุงู„ุฌุฏูˆู„ add equal plus or minus 196 step
948
+
949
+ 238
950
+ 00:19:11,610 --> 00:19:15,350
951
+ 5 collect data and compute that statistic for this
952
+
953
+ 239
954
+ 00:19:15,350 --> 00:19:20,010
955
+ problem as we mentioned N is a hundred X bar
956
+
957
+ 240
958
+ 00:19:20,010 --> 00:19:27,220
959
+ suppose 29.84ุงู„ู€ Sigma ู‡ูˆ 0.8 ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ุงู„ู‡ู…
960
+
961
+ 241
962
+ 00:19:27,220 --> 00:19:33,000
963
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
964
+
965
+ 242
966
+ 00:19:33,000 --> 00:19:35,040
967
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
968
+
969
+ 243
970
+ 00:19:35,040 --> 00:19:35,040
971
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
972
+
973
+ 244
974
+ 00:19:35,040 --> 00:19:35,420
975
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
976
+
977
+ 245
978
+ 00:19:35,420 --> 00:19:39,080
979
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ
980
+
981
+ 246
982
+ 00:19:39,080 --> 00:19:51,040
983
+ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉ ู…ูุนุฑูˆ
984
+
985
+ 247
986
+ 00:19:54,210 --> 00:19:58,430
987
+ Equal X bar minus Mu over Sigma over square root
988
+
989
+ 248
990
+ 00:19:58,430 --> 00:20:02,070
991
+ of N Straight
992
+
993
+ 249
994
+ 00:20:02,070 --> 00:20:06,130
995
+ forward computations will give the value of this
996
+
997
+ 250
998
+ 00:20:06,130 --> 00:20:15,710
999
+ state X bar is 29.84 minus Mu this Mu is given Mu
1000
+
1001
+ 251
1002
+ 00:20:15,710 --> 00:20:21,790
1003
+ is 30 over
1004
+
1005
+ 252
1006
+ 00:20:21,790 --> 00:20:23,090
1007
+ Sigma 0.8
1008
+
1009
+ 253
1010
+ 00:20:26,190 --> 00:20:36,810
1011
+ ูˆู‡ุฐุง ุณูŠุนุทูŠ ุฃู‚ู„ ู…ู† 2 ู‡ุฐุง ู‡ูˆ Z-Stat ูู‚ูŠู…ุฉ
1012
+
1013
+ 254
1014
+ 00:20:36,810 --> 00:20:46,370
1015
+ Z-Stat ู‡ูŠ ุฃู‚ู„ ู…ู† 2 ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ
1016
+
1017
+ 255
1018
+ 00:20:46,370 --> 00:20:52,290
1019
+ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุตุฉุŸ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุตุฉ ุงู„ุชูŠ ู‚ู…ู†ุง
1020
+
1021
+ 256
1022
+ 00:20:52,290 --> 00:21:01,740
1023
+ ุจุชุฎู„ุตู‡ุง ุจุงุณุชุฎุฏุงู… ู‚ูŠู…ุฉ ูƒุฑู‡ูŠุฉู…ู‚ุงุฑู†ุฉ ู…ู† 196 ุงูˆ ุงู‚ู„ ู…ู†
1024
+
1025
+ 257
1026
+ 00:21:01,740 --> 00:21:08,900
1027
+ ู†ู‚ู„ 1.96 ุงุนู†ูŠ ุงู†ู†ุง ู†ู†ุฌุญ ุงุฐุง ู‚ูŠู…ุฉ ุฒูŠ ู…ูˆุฌูˆุฏุฉ ููŠ
1028
+
1029
+ 258
1030
+ 00:21:08,900 --> 00:21:12,560
1031
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุงูˆ ุงู„ูŠุณุงุฑ ุงู„ุขู† ู‡ู„
1032
+
1033
+ 259
1034
+ 00:21:12,560 --> 00:21:15,520
1035
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ูŠุณุงุฑ ุงูˆ ุงู„ูŠุณุงุฑุŸ ููŠ ุงู„ุฌุงู†ุจ
1036
+
1037
+ 260
1038
+ 00:21:15,520 --> 00:21:20,160
1039
+ ุงู„ูŠุณุงุฑ ู„ุฐุง ู†ู†ุฌุญ ู„ุฐุง ู†ู†ุฌุญ ู…ุฑุฉ ุฃุฎุฑู‰ ุงุฐุง ู…ู‚ุงุฑู†ุฉ ุฒูŠ
1040
+
1041
+ 261
1042
+ 00:21:20,160 --> 00:21:22,140
1043
+ 196 ุงูˆ
1044
+
1045
+ 262
1046
+ 00:21:26,780 --> 00:21:34,700
1047
+ ุฃูƒุจุฑ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1048
+
1049
+ 263
1050
+ 00:21:34,700 --> 00:21:35,540
1051
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1052
+
1053
+ 264
1054
+ 00:21:35,540 --> 00:21:36,860
1055
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1056
+
1057
+ 265
1058
+ 00:21:36,860 --> 00:21:39,500
1059
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1060
+
1061
+ 266
1062
+ 00:21:39,500 --> 00:21:44,320
1063
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1064
+
1065
+ 267
1066
+ 00:21:44,320 --> 00:21:44,320
1067
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1068
+
1069
+ 268
1070
+ 00:21:44,320 --> 00:21:44,320
1071
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
1072
+
1073
+ 269
1074
+ 00:21:44,320 --> 00:21:49,280
1075
+ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
1076
+
1077
+ 270
1078
+ 00:21:49,280 --> 00:21:58,830
1079
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†ูˆุงุถุญ ุงู„ู†ู‚ุต ุงุชู†ูŠู† ุงุตู„ุง ู…ู† ุณู†ุฉ ูˆุงุญุฏุฉ
1080
+
1081
+ 271
1082
+ 00:21:58,830 --> 00:22:03,350
1083
+ ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ู…ุงูƒุฏู‡ ูˆ ูŠ reject ุฅุฐุง ุงู„ decision rule
1084
+
1085
+ 272
1086
+ 00:22:03,350 --> 00:22:10,130
1087
+ ุจูŠุญูƒูŠ ููŠ ุงู„ุญุงู„ุฉ the rejected null hypothesis since
1088
+
1089
+ 273
1090
+ 00:22:10,130 --> 00:22:12,730
1091
+ z statistic equals minus two which is less than
1092
+
1093
+ 274
1094
+ 00:22:12,730 --> 00:22:16,170
1095
+ negative one point nine six then my decision is
1096
+
1097
+ 275
1098
+ 00:22:16,170 --> 00:22:19,950
1099
+ rejected null hypothesis now you have to state
1100
+
1101
+ 276
1102
+ 00:22:19,950 --> 00:22:24,190
1103
+ also the managerial conclusion ุชู‚ุฑูŠุฑ ุชุจุนู‡and
1104
+
1105
+ 277
1106
+ 00:22:24,190 --> 00:22:29,050
1107
+ conclude that there is sufficient evidence that
1108
+
1109
+ 278
1110
+ 00:22:29,050 --> 00:22:31,690
1111
+ the mean diameter of a manufactured bolt is not
1112
+
1113
+ 279
1114
+ 00:22:31,690 --> 00:22:37,370
1115
+ equal to 30 ุฅูŠุด ูŠุนู†ูŠ sufficient evidence evidence
1116
+
1117
+ 280
1118
+ 00:22:37,370 --> 00:22:43,170
1119
+ ุฏู„ูŠู„ ูƒุงููŠ ูŠุนู†ูŠ ููŠ ุฏู„ูŠู„ ูƒุงููŠ ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุฃู† ุงู„ mean
1120
+
1121
+ 281
1122
+ 00:22:43,170 --> 00:22:47,410
1123
+ is not 30 ุฅุฐุง ููŠ ุงู„ุขุฎุฑ ุทู„ุน ู…ุนูŠ ุงู„ู‚ุฑุงุฑ ุฃู† we
1124
+
1125
+ 282
1126
+ 00:22:47,410 --> 00:22:53,850
1127
+ supportุงู„ู‚ูŠู…ุฉ ู„ูŠุณุช ุงู‚ู„ ู…ู† 30 ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ ู†ู‚ู„
1128
+
1129
+ 283
1130
+ 00:22:53,850 --> 00:22:58,430
1131
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุณ ุงู„ุงู†ุงู„ูŠุฉ ูˆู†ุฎุชู… ุฃู† ู‡ู†ุงูƒ ูˆุซูŠู‚ุฉ ูƒุงููŠุฉ ู„ุฃู†
1132
+
1133
+ 284
1134
+ 00:22:58,430 --> 00:23:00,670
1135
+ ู‚ูŠู…ุฉ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1136
+
1137
+ 285
1138
+ 00:23:00,670 --> 00:23:01,890
1139
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1140
+
1141
+ 286
1142
+ 00:23:01,890 --> 00:23:02,990
1143
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1144
+
1145
+ 287
1146
+ 00:23:02,990 --> 00:23:03,170
1147
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุตุฏุฑ
1148
+
1149
+ 288
1150
+ 00:23:03,170 --> 00:23:06,970
1151
+ ู…ุตุฏุฑ
1152
+
1153
+ 289
1154
+ 00:23:06,970 --> 00:23:14,050
1155
+ ู…ุตุฏุฑ ู…ุตุฏุฑ ู…ุต
1156
+
1157
+ 290
1158
+ 00:23:15,610 --> 00:23:18,850
1159
+ ู„ูˆ ุจุฏู‰ ุฎู…ู† ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ ู…ู† 30ุŸ ู„ูˆ ุจุฏู‰ ุฃุญู„ู‰ ู…ุซู„ุฉ
1160
+
1161
+ 291
1162
+ 00:23:18,850 --> 00:23:22,930
1163
+ one-tailed ุฅูŠุด ู‡ูŠุชุบูŠุฑ ู…ุนุงู‡ุŸ ู„ูˆ ุจุฏู‰ ุฃุบูŠุฑ ุงู„ู…ุซู„ุฉ
1164
+
1165
+ 292
1166
+ 00:23:22,930 --> 00:23:28,790
1167
+ ูƒู„ู‡ุง ู‡ูŠูƒ ูˆุจุฏู‰ ุฃุนุชุจุฑ ุฃุฎุฏ one-tailed ุฃุฎุฏูˆุง right ูˆู„ุง
1168
+
1169
+ 293
1170
+ 00:23:28,790 --> 00:23:36,270
1171
+ leftุŸ ุฎู„ูŠู†ูŠ ุฃุฎุฏ .. ู„ูŠุด leftุŸ ู„ุฃู† ุงู„ X bar ู…ุงู„ู‡ุง 89
1172
+
1173
+ 294
1174
+ 00:23:36,270 --> 00:23:41,790
1175
+ ุฃู‚ู„ ู…ู† 30 ูุฃุฎุฏู„ูŠ 100 ุฃู‚ู„ ู…ู† 30 ุฅูŠุด ู‡ูŠุชุบูŠุฑ ููŠ ุงู„ุญู„ุŸ
1176
+
1177
+ 295
1178
+ 00:23:41,790 --> 00:23:47,820
1179
+ ู‡ุฐุง ุญุชู‰ ู…ุฒุงู…ูŠู‡ ู…ุธุจูˆุทุŸู‡ุฐุง ู„ุง ูŠุชุบูŠุฑุŒ ุงู„ู„ูŠ ุณูŠุชุบูŠุฑ ู‡ูˆ
1180
+
1181
+ 296
1182
+ 00:23:47,820 --> 00:23:54,780
1183
+ ุงู„ู€ Critical Value ุตุงุฑุช to the leftุŒ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุงุŒ
1184
+
1185
+ 297
1186
+ 00:23:54,780 --> 00:24:00,900
1187
+ ู…ุงุฐุง ุณูŠุญุตู„ุŸ ุจุณ ุนู„ู‰ ุงู„ุฌู‡ุฉ ูˆุงุญุฏุฉุŒ ู„ุฃู†ู‡ุง ู†ูŠุฌุงุชูŠุŒ ู…ุงุฐุง
1188
+
1189
+ 298
1190
+ 00:24:00,900 --> 00:24:04,580
1191
+ ูŠุธู‡ุฑ ุนู†ุฏ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŸ ุฃุฎุฏู‡ุง ู…ู† ูŠูˆู… ุงู„ู…ุงุถูŠุŒ ู†ู‚ุงู„
1192
+
1193
+ 299
1194
+ 00:24:04,580 --> 00:24:09,880
1195
+ ูุงุชุญ ุตูุฑุŒ ู†ูŠุฌุงุชูŠ 1.645ุŒ ู…ุธุจูˆุทุŸ ุงู„ุงู†ุŒ ู‡ู„ ู‡ุฐุง ุงู„ูˆุถุน
1196
+
1197
+ 300
1198
+ 00:24:09,880 --> 00:24:17,010
1199
+ ูŠุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุŸ ู†ุนู…ูˆุงู„ู†ู‡ุงูŠุฉ ู‡ูŠ ุฃู†ู†ุง
1200
+
1201
+ 301
1202
+ 00:24:17,010 --> 00:24:21,170
1203
+ ู†ุชูุฑุฌ ู…ู† ุงู„ู€ Non-hypothesis ูˆู†ุฎุชู… ุฃู† ู‡ู†ุงูƒ ูˆุซูŠู‚ุฉ
1204
+
1205
+ 302
1206
+ 00:24:21,170 --> 00:24:27,270
1207
+ ูƒุงููŠุฉ ู„ุฃู† ุงู„ู€ true mean ู‡ูˆ ุฃู‚ู„ ู…ู† ุงู„ู€ true mean
1208
+
1209
+ 303
1210
+ 00:24:27,270 --> 00:24:30,970
1211
+ ุฃู†ุง ุฃุฎุฏุช lessุŒ ูŠุนู†ูŠ we are not equal to ูˆุฎู„ุตู†ุงู‡ุง
1212
+
1213
+ 304
1214
+ 00:24:30,970 --> 00:24:35,710
1215
+ ุฃู†ุง ุจุญูƒูŠ ู„ูˆ ูƒุงู†ุช ุงู„ูุฑุถูŠุฉ ุงู„ู€ mu ุฃู‚ู„ุŒ ู„ูˆ ูƒุงู†ุช ุฃู‚ู„
1216
+
1217
+ 305
1218
+ 00:24:35,710 --> 00:24:39,470
1219
+ ู…ู† 30 ุณูŠูƒูˆู† ุงู„ู‚ุฑุงุฑ ูŠุฏุนู… ุฃู† ุงู„ู€ mean ู…ุงู„ู‡ ุฃู‚ู„ ู…ู† 30
1220
+
1221
+ 306
1222
+ 00:24:39,470 --> 00:24:43,790
1223
+ ู‡ู„ ู…ู…ูƒู† ุฃุนู…ู„ู‡ุง ู…ู† ุบูŠุฑ ู…ุทุงู„ุจ ุงู„ู€ criticalุŸ ู…ู…ูƒู†ู„ูˆ
1224
+
1225
+ 307
1226
+ 00:24:43,790 --> 00:24:47,890
1227
+ ูƒุงู†ุช ุงู„ู‚ุฑุงุฑ ู…ูŠูˆุฒ ู†ูˆุช ุชูŠุฑุชูŠ ูƒูŠู ู…ู…ูƒู† ุงุนุฑู ููŠ ุดู…ุงู„
1228
+
1229
+ 308
1230
+ 00:24:47,890 --> 00:24:51,670
1231
+ ุงูˆ ูŠู…ูŠู†ุŸ
1232
+
1233
+ 309
1234
+ 00:24:51,670 --> 00:24:56,130
1235
+ ู…ู† ุบูŠุฑ ู…ุง .. ู…ู† ุบูŠุฑ ู…ุง ุญู„ ุงู„ู…ุซู„ุฉ ุนู„ู‰ ุญุณุจ ุงู„ู€ Z
1236
+
1237
+ 310
1238
+ 00:24:56,130 --> 00:24:59,630
1239
+ ู‚ุดุทูˆู†ุฉ ู…ุน ุงู„ Z positive ูˆู„ุง negativeุŸ negative
1240
+
1241
+ 311
1242
+ 00:24:59,630 --> 00:25:04,350
1243
+ ุจุชุงุน ู„ูŠู‡ุง ุนู„ุงู‚ุฉุŒ ุฎู„ุงุตุŸ ูŠุนู†ูŠ ู…ู† ุบูŠุฑ ู…ุง ุชุทู„ุน ุงู„
1244
+
1245
+ 312
1246
+ 00:25:04,350 --> 00:25:12,800
1247
+ critical value ุงู„ู„ูŠ ู‡ู†ุง ู‡ุชุตูŠุฑ ุน ุงู„ูŠุณุงุฑุŒ ุฎู„ุงุตุŸู‡ุฐุง
1248
+
1249
+ 313
1250
+ 00:25:12,800 --> 00:25:16,620
1251
+ ุงู„ู€ First Approach ูŠุณู…ู‰ Critical Value Approach ุฃูŠ
1252
+
1253
+ 314
1254
+ 00:25:16,620 --> 00:25:20,620
1255
+ ุณุคุงู„ ุนูŠุฏ
1256
+
1257
+ 315
1258
+ 00:25:20,620 --> 00:25:29,220
1259
+ ุจุณุฑุนุฉ ู…ุฑุฉ ุชุงู†ูŠุฉ ู„ู„ูŠ ูƒุงู† ุณุฑุญุงู† ูุถู„ุง ุตุญูŠุญ ุงู„ N ูˆ ุงู„
1260
+
1261
+ 316
1262
+ 00:25:29,220 --> 00:25:33,320
1263
+ X bar ูˆ ุงู„ Sigma ูˆ ุงู„ Alpha is given if Alpha is
1264
+
1265
+ 317
1266
+ 00:25:33,320 --> 00:25:36,700
1267
+ not given just use 5% ุฅุฐุง ุงู„ Sigma ูˆ ุงู„ N ูˆ ุงู„ X
1268
+
1269
+ 318
1270
+ 00:25:36,700 --> 00:25:39,400
1271
+ bar ู…ุนู„ูˆู…ุงุช ุฎู„ุงุต
1272
+
1273
+ 319
1274
+ 00:25:42,210 --> 00:25:46,210
1275
+ ุงู„ุงู† ุงู„ู€ six steps ุจุญุฏุฏ ุงู„ู€ null alternate
1276
+
1277
+ 320
1278
+ 00:25:46,210 --> 00:25:51,790
1279
+ hypothesis ู‡ูˆ ุญูƒุงูŠุฉ ู…ูŠูˆ ุงูŠู‚ุงู„ ุชูŠุฑุชูŠ ุงูƒูŠุฏ ุงู„ุจุฏูŠู„
1280
+
1281
+ 321
1282
+ 00:25:51,790 --> 00:25:55,590
1283
+ ู‡ุชูƒูˆู† ุงูŠุด is not equal to ุงู„ุง ุงุฐุง ู‡ูˆ ุญูƒุงูŠุฉ ุงูƒุจุฑ ุงูˆ
1284
+
1285
+ 322
1286
+ 00:25:55,590 --> 00:26:03,530
1287
+ ุงู‚ู„ Alpha 5% ูˆ ุญูƒุงูŠุฉ n ุจุชุณุงูˆูŠ 100 ุงู„ sigma is
1288
+
1289
+ 323
1290
+ 00:26:03,530 --> 00:26:06,850
1291
+ known ูˆุจุชูƒู„ู… ู…ุน ุงู„ู…ูŠู† ู…ุน ูƒุฏู‡ ุงู„ appropriate test
1292
+
1293
+ 324
1294
+ 00:26:06,850 --> 00:26:13,250
1295
+ is this test ุจุทู„ุน ุงู„ critical valueุทุจุนุง ุชู†ุชู‡ูŠ ู„ุฅู†
1296
+
1297
+ 325
1298
+ 00:26:13,250 --> 00:26:16,890
1299
+ ูˆุงุญุฏุฉ ูŠู…ูŠู† ูˆ ูˆุงุญุฏุฉ ุดู…ุงู„ ุจูŠุทู„ุน 1.96 ูˆ ุชุงู†ูŠ negative
1300
+
1301
+ 326
1302
+ 00:26:16,890 --> 00:26:22,130
1303
+ ุจุนุฏูŠู† ุจุญุณุจ ุงู„ Z statistic ุจูŠุทู„ุน negative 2 ุจุณ
1304
+
1305
+ 327
1306
+ 00:26:22,130 --> 00:26:26,870
1307
+ ุจุชุณุฃู„ ู†ูุณูƒ is this value of this statistic in the
1308
+
1309
+ 328
1310
+ 00:26:26,870 --> 00:26:30,090
1311
+ rejection region now the rejection region either
1312
+
1313
+ 329
1314
+ 00:26:30,090 --> 00:26:34,850
1315
+ less than negative 1.96 or greater than 1.96 now
1316
+
1317
+ 330
1318
+ 00:26:34,850 --> 00:26:37,750
1319
+ my Z statistic falls in this region so we reject
1320
+
1321
+ 331
1322
+ 00:26:37,750 --> 00:26:42,820
1323
+ itุจุณ ู‡ุฐุง ุฃูˆู„ approach ุจู†ุณู…ูŠู‡ critical value
1324
+
1325
+ 332
1326
+ 00:26:42,820 --> 00:26:46,640
1327
+ approach next
1328
+
1329
+ 333
1330
+ 00:26:46,640 --> 00:26:51,360
1331
+ approach is called B value approach to testing B
1332
+
1333
+ 334
1334
+ 00:26:51,360 --> 00:26:55,040
1335
+ stands for probability so this is probability
1336
+
1337
+ 335
1338
+ 00:26:55,040 --> 00:26:58,830
1339
+ value approach to testingmost likely the
1340
+
1341
+ 336
1342
+ 00:26:58,830 --> 00:27:03,890
1343
+ statistical software packages provide p-value ู…ุนุธู…
1344
+
1345
+ 337
1346
+ 00:27:03,890 --> 00:27:07,230
1347
+ ุงู„ุจุฑุงู…ุฌ ุงู„ุญุตุงุฆูŠุฉ ุจุชุทู„ุน ุงู„ p-value ุนุดุงู† ูƒุฏู‡ ู…ู‡ู… ุฌุฏุง
1348
+
1349
+ 338
1350
+ 00:27:07,230 --> 00:27:12,110
1351
+ ู†ุชุนุฑู ูƒูŠู ู†ุทู„ุน ุฃูˆ ู†ุญุณุจ ุงู„ p-value ุญุณุงุจ ุงู„ p-value
1352
+
1353
+ 339
1354
+ 00:27:12,110 --> 00:27:16,570
1355
+ ุฃุฎุฏู†ุงู‡ ุตูˆุฑุฉ ู…ุนูŠู†ุฉ ููŠ ุดุจุทุฑ ุณุจุนุฉ ุจุณ ุจูŠุงุฑ ุงู„ู…ุญูƒู…ุฉ ู‡ุฐู‡
1356
+
1357
+ 340
1358
+ 00:27:16,570 --> 00:27:19,210
1359
+ ุนุจุงุฑุฉ ุนู† ุงู„ p-value ุงุญู†ุง ุญูƒูŠู‡ุง ููŠ ุดุจุทุฑ ุชุณุนุฉ ูƒู†ุง
1360
+
1361
+ 341
1362
+ 00:27:19,210 --> 00:27:21,850
1363
+ ู†ุณู…ูŠู‡ุง probability ูˆ ุจุณ ูƒูŠู ู†ุทู„ุน ุงู„ probability
1364
+
1365
+ 342
1366
+ 00:27:21,850 --> 00:27:25,110
1367
+ ุชุชุฐูƒุฑ ูƒูŠู ู†ุทู„ุน ุงู„ probability ู†ูุณ ุงู„ุฌุซุฉ ู‡ู†ุนู…ู„ู‡ุง
1368
+
1369
+ 343
1370
+ 00:27:25,110 --> 00:27:30,430
1371
+ ุงู„ุขู† ุจุนุฏ ุดูˆูŠุฉู‡ุฐุง ู‡ูˆ ุงู„ู…ูˆุถูˆุน ุงู„ุชุงู„ูŠ ุฃูˆ ุงู„ุงุชุตุงู„
1372
+
1373
+ 344
1374
+ 00:27:30,430 --> 00:27:44,870
1375
+ ุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ูŠุณู…ู‰ ุจูŠ value approach ุจูŠ
1376
+
1377
+ 345
1378
+ 00:27:44,870 --> 00:27:49,190
1379
+ value approach
1380
+
1381
+ 346
1382
+ 00:27:49,190 --> 00:27:51,970
1383
+ to testing
1384
+
1385
+ 347
1386
+ 00:27:59,900 --> 00:28:03,700
1387
+ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุทุฑูŠู‚ุชูŠู† ู„ู„ู‚ุฑุงุฑุŒ ู„ู„ุงุฎุชุจุงุฑ ุฅู…ุง ุงู„ู€
1388
+
1389
+ 348
1390
+ 00:28:03,700 --> 00:28:06,580
1391
+ Critical ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ุฃูˆ ุงู„ู€ P-Value ูˆุงู„ุงุชู†ูŠู†
1392
+
1393
+ 349
1394
+ 00:28:06,580 --> 00:28:11,700
1395
+ ูŠุนุทูˆู† ู†ูุณ ุงู„ู€ Conclusion
1396
+
1397
+ 350
1398
+ 00:28:11,700 --> 00:28:14,980
1399
+ ุณูˆุงุก ุงุณุชุฎุฏู…ุช ุงู„ู€ P-Value approach ุฃูˆ ุงู„ู€ Critical
1400
+
1401
+ 351
1402
+ 00:28:14,980 --> 00:28:19,120
1403
+ P-Value approach ุงู„ู€ P-Value ุงู„ู€ differentiation
1404
+
1405
+ 352
1406
+ 00:28:19,120 --> 00:28:21,900
1407
+ ุชุจุนู‡ุง probability of obtaining a test statistic
1408
+
1409
+ 353
1410
+ 00:28:21,900 --> 00:28:25,800
1411
+ equal to or more extreme than the observed sample
1412
+
1413
+ 354
1414
+ 00:28:25,800 --> 00:28:31,190
1415
+ given its zeroes trueูˆ ุงู„ B value is also called
1416
+
1417
+ 355
1418
+ 00:28:31,190 --> 00:28:38,030
1419
+ .. ุฃู†ุง ุจุณู…ูŠู‡ุง observed level
1420
+
1421
+ 356
1422
+ 00:28:38,030 --> 00:28:45,410
1423
+ of significance ูŠุนู†ูŠ ู…ู† ุงู„ุณูˆุก ุงู„ู…ุนู†ูˆูŠ ู„ู„ู…ุดุงู‡ุฏ
1424
+
1425
+ 357
1426
+ 00:28:45,410 --> 00:28:50,690
1427
+ observed ุงู„ู„ุงู„ูุฉ ูƒุงู†ุช ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุจุณ ุงู„ level of
1428
+
1429
+ 358
1430
+ 00:28:50,690 --> 00:28:54,070
1431
+ significance ู„ูƒู† ุงู„ B value ุงู„ observed ุงู„ู…ุดุงู‡ุฏ
1432
+
1433
+ 359
1434
+ 00:28:54,070 --> 00:28:57,990
1435
+ ู„ูŠุด ู…ุดุงู‡ุฏุŸ ู„ุฃู† ุฃู†ุง ุจุญุณุจู‡ ู…ู† ุงู„ุนูŠู†ุฉ ุนุดุงู† ูƒุฐุง ู†ุญุณุจู‡
1436
+
1437
+ 360
1438
+ 00:28:57,990 --> 00:29:02,930
1439
+ ู…ู† ุงู„ุนูŠู†ุฉit is the smallest value of ฮฑ for which 0
1440
+
1441
+ 361
1442
+ 00:29:02,930 --> 00:29:07,050
1443
+ can be rejected ูŠุนู†ูŠ ู‡ูŠ ุฃุตุบุฑ ู‚ูŠู…ุฉ ุฃุตุบุฑ ู…ู† ุงู„ู€ ฮฑ
1444
+
1445
+ 362
1446
+ 00:29:07,050 --> 00:29:10,390
1447
+ ู„ู…ุง ู†ุญู† ู†ู‚ู„ ุงู„ู€ normal process ุงู„ decision ุชุจุนู†ุง
1448
+
1449
+ 363
1450
+ 00:29:10,390 --> 00:29:16,630
1451
+ ูƒุงู„ู‡ุงุชู ู†ุณุชุทูŠุน ุฃู† ู†ู‚ู„ ุงู„ู€ P value ู…ู† ุงู„ู€ ฮฑ ุงู„ุณู„ุณู„ุฉ
1452
+
1453
+ 364
1454
+ 00:29:16,630 --> 00:29:27,390
1455
+ ู‡ูŠ ุฅุฐุง P value ุฃุตุบุฑ ู…ู† ุงู„ู€ ฮฑ ูˆ ุงู„ู€ ฮฑ ู…ุณุชุฎุฏู…ุฉ ูู†ู‚ู„
1456
+
1457
+ 365
1458
+ 00:29:27,390 --> 00:29:27,830
1459
+ ุงู„ู€ 0
1460
+
1461
+ 366
1462
+ 00:29:31,420 --> 00:29:33,260
1463
+ ุฅุฐุง ุฃู†ุง ุญุงุณุจ ุงู„ู€ P valueุŒ ูˆุญูˆุฑูŠูƒุง ู…ุงุนุฑูุด ูƒูŠู
1464
+
1465
+ 367
1466
+ 00:29:33,260 --> 00:29:37,620
1467
+ ุจุญุณุจู‡ุง ุฅุฐุง ุงู„ู€ P value is smaller than AlphaุŒ then
1468
+
1469
+ 368
1470
+ 00:29:37,620 --> 00:29:43,560
1471
+ we reject the null hypothesis otherwise if this P
1472
+
1473
+ 369
1474
+ 00:29:43,560 --> 00:29:47,300
1475
+ value is greater than or equal to Alpha, then we
1476
+
1477
+ 370
1478
+ 00:29:47,300 --> 00:29:52,480
1479
+ don't reject H0
1480
+
1481
+ 371
1482
+ 00:29:52,480 --> 00:29:55,700
1483
+ ุฅุฐุง
1484
+
1485
+ 372
1486
+ 00:29:55,700 --> 00:29:58,380
1487
+ always we reject the null hypothesis if P value is
1488
+
1489
+ 373
1490
+ 00:29:58,380 --> 00:30:05,020
1491
+ smallุงู„ุงู† ุงู„ู€ small ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ูˆู… ูู‚ุท ุจู…ู‚ุงุฑู†ุฉ
1492
+
1493
+ 374
1494
+ 00:30:05,020 --> 00:30:08,540
1495
+ P-value ู…ุน Alpha ุฅุฐุง ูƒุงู† P-value ุฃูƒุชุฑ ู…ู† Alpha
1496
+
1497
+ 375
1498
+ 00:30:08,540 --> 00:30:11,800
1499
+ ูู†ู‚ูˆู… ุจุฅู†ู‡ุงุก ุงู„hypothesis ู…ุน ูƒุฏู‡ ูƒู„ ู…ุง ูƒุงู†ุช ุงู„ P
1500
+
1501
+ 376
1502
+ 00:30:11,800 --> 00:30:15,980
1503
+ -value ุตุบูŠุฑุฉ ู†ู‚ูˆู… ุจุฅู†ู‡ุงุกู‡ุง but how small is small
1504
+
1505
+ 377
1506
+ 00:30:15,980 --> 00:30:18,740
1507
+ enough to reject the null hypothesis ุฅุฐุง ูƒุงู† P
1508
+
1509
+ 378
1510
+ 00:30:18,740 --> 00:30:22,720
1511
+ -value ุฃูƒุชุฑ ู…ู† Alpha ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ
1512
+
1513
+ 379
1514
+ 00:30:22,720 --> 00:30:28,240
1515
+ ุณู†ุณุชุฎุฏู…ู‡ ุฅุฐุง ูƒุงู† P-value ุฃู‚ู„ ู…ู† Alpha ุณุฃุนุทูŠูƒ ุดูŠุก
1516
+
1517
+ 380
1518
+ 00:30:28,240 --> 00:30:35,040
1519
+ ูู‚ุทู„ุชุฐูƒุฑ ุฃู† ุฅุฐุง ูƒุงู†ุช ุงู„ู€ P value ุตุบูŠุฑุฉุŒ ูุฅู† ุงู„ู€ 0
1520
+
1521
+ 381
1522
+ 00:30:35,040 --> 00:30:39,760
1523
+ ูŠุฌุจ ุฃู† ูŠุฐู‡ุจ ุฅุฐุง ูƒุงู†ุช ุงู„ P value ุตุบูŠุฑุฉุŒ ูุงู„ู€ 0 ู…ุง
1524
+
1525
+ 382
1526
+ 00:30:39,760 --> 00:30:46,260
1527
+ ู„ู‡ุง ุฐู‡ุจ ู…ุนู†ุงู‡ุง ุชู†ูุฐ ุงู„ู€ 0 ุงู„ุขู† ุณุฃุดูˆู ูƒูŠู ุฃุณุชุฎุฏู…
1528
+
1529
+ 383
1530
+ 00:30:46,260 --> 00:30:50,080
1531
+ ุงู„ู€ P value approach ุงู„ู€ steps ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ููŠ
1532
+
1533
+ 384
1534
+ 00:30:50,080 --> 00:30:55,680
1535
+ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏูŠู† step one the same ุงู„ู€ set null
1536
+
1537
+ 385
1538
+ 00:30:55,680 --> 00:30:58,930
1539
+ and alternate hypothesisุงู„ุฎุทูˆุฉ ุงู„ุซุงู†ูŠุฉ ู…ุงุฒุงู„ุฉ
1540
+
1541
+ 386
1542
+ 00:30:58,930 --> 00:31:03,150
1543
+ ู†ูุณู‡ุงุŒ ุงุฎุชุงุฑ ุงู„ูุง ูˆู† ุงู„ุฎุทูˆุฉ ุงู„ุซุงู„ุซุฉ ุชุญุฑุฑ ุงุนุชู…ุงุฏ
1544
+
1545
+ 387
1546
+ 00:31:03,150 --> 00:31:04,130
1547
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1548
+
1549
+ 388
1550
+ 00:31:04,130 --> 00:31:06,030
1551
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1552
+
1553
+ 389
1554
+ 00:31:06,030 --> 00:31:06,130
1555
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1556
+
1557
+ 390
1558
+ 00:31:06,130 --> 00:31:06,370
1559
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1560
+
1561
+ 391
1562
+ 00:31:06,370 --> 00:31:06,430
1563
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1564
+
1565
+ 392
1566
+ 00:31:06,430 --> 00:31:06,450
1567
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1568
+
1569
+ 393
1570
+ 00:31:06,450 --> 00:31:07,690
1571
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1572
+
1573
+ 394
1574
+ 00:31:07,690 --> 00:31:09,150
1575
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1576
+
1577
+ 395
1578
+ 00:31:09,150 --> 00:31:14,410
1579
+ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ ุงู„ุงุนุชู…ุงุฏ
1580
+
1581
+ 396
1582
+ 00:31:14,410 --> 00:31:18,380
1583
+ ุงู„ุงุนุชู…Critical Value Approach ูˆ P-Value Approach
1584
+
1585
+ 397
1586
+ 00:31:18,380 --> 00:31:21,380
1587
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ูˆู… ุจุชุญุณูŠู† P-Value ุจุฏู„ุง ู…ู† P
1588
+
1589
+ 398
1590
+ 00:31:21,380 --> 00:31:26,000
1591
+ -Critical Value ู†ุญุณุจ P-Value ุจุฏู„ุง ู…ู† P-Critical
1592
+
1593
+ 399
1594
+ 00:31:26,000 --> 00:31:30,120
1595
+ Value ู†ุญุณุจ P-Value ุจุฏู„ุง ู…ู† P-Critical Value ู†ุญุณุจ P
1596
+
1597
+ 400
1598
+ 00:31:30,120 --> 00:31:36,000
1599
+ -Value ุจุฏู„ุง ู…ู† P-Critical Value ู†ุญุณุจ P-Value ุจุฏู„ุง
1600
+
1601
+ 401
1602
+ 00:31:36,000 --> 00:31:42,180
1603
+ ู…ู† P-Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู†
1604
+
1605
+ 402
1606
+ 00:31:42,180 --> 00:31:42,200
1607
+ P-Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู† P
1608
+
1609
+ 403
1610
+ 00:31:42,200 --> 00:31:42,200
1611
+ -Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู† P
1612
+
1613
+ 404
1614
+ 00:31:42,200 --> 00:31:42,200
1615
+ -Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู† P
1616
+
1617
+ 405
1618
+ 00:31:42,200 --> 00:31:42,280
1619
+ -Critical Value ู†ุญุณุจ P-Critical Value ุจุฏู„ุง ู…ู† P
1620
+
1621
+ 406
1622
+ 00:31:42,280 --> 00:31:44,850
1623
+ -Critical Vูู‚ุท ุจุญุณุจ ุงู„ู€ p value ุจุฏู„ ู…ู† ุงู„ู€
1624
+
1625
+ 407
1626
+ 00:31:44,850 --> 00:31:48,230
1627
+ critical value ูˆ ุงู„ู‚ุฑุงุฑ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ p value ุฃู‚ู„
1628
+
1629
+ 408
1630
+ 00:31:48,230 --> 00:31:53,270
1631
+ ู…ู† ุงู„ alpha ูˆ ูŠ reject ุฎู„ุงุต ู†ุฑุฌุน ู„ู„ example ุฃุฎุฏู†ุง
1632
+
1633
+ 409
1634
+ 00:31:53,270 --> 00:31:58,010
1635
+ ู…ู† ุดูˆูŠุฉ ุงู„ู…ุซุงู„
1636
+
1637
+ 410
1638
+ 00:31:58,010 --> 00:32:03,090
1639
+ ุงู„ู„ูŠ ูุงุช ูƒุงู† ุจูŠุญูƒูŠ ุนู† ุฅูŠุด ุนู„ู‰
1640
+
1641
+ 411
1642
+ 00:32:03,090 --> 00:32:09,950
1643
+ mu equal to 30 ู…ุธุจูˆุท ูˆ H1 ูƒุงู†ุช ู„ุงุช ุณุงูˆุฉ ู…ุธุจูˆุท
1644
+
1645
+ 412
1646
+ 00:32:14,580 --> 00:32:18,900
1647
+ ุญูƒูŠู†ุง ุงู„ Z statistic ุงูŠุด ุณูˆุงุก plus 2 ู…ุธุจูˆุท ูˆ
1648
+
1649
+ 413
1650
+ 00:32:18,900 --> 00:32:23,480
1651
+ negative 2 ูƒุงู†ุช negative 2 ู…ุธุจูˆุท ุงู„ุงู† ู†ุดูˆู ุงูŠุด
1652
+
1653
+ 414
1654
+ 00:32:23,480 --> 00:32:26,820
1655
+ ุงุญุชู…ุงู„ ุงู† ุงู„ Z ุชุจุนุชูŠ falls in the rejection region
1656
+
1657
+ 415
1658
+ 00:32:26,820 --> 00:32:32,100
1659
+ ู…ู…ูƒู† ููˆู‚ ุงู„ู„ูŠ ุชูƒูˆู† ูˆูŠู† ููŠ ุงู„ูŠู…ูŠู† ุงูˆ ููŠ ุงู„ุดู…ุงู„
1660
+
1661
+ 416
1662
+ 00:32:32,100 --> 00:32:37,200
1663
+ ูุจุงู„ุชุงู„ูŠ ุงู„ B value ุงู„ู„ูŠ ุงู†ุช ุนุงูŠุฒู‡ุง ุจูŠุณูˆุก ุงุญุชู…ุงู„
1664
+
1665
+ 417
1666
+ 00:32:37,200 --> 00:32:41,780
1667
+ ุงู„ Z ุงูƒุจุฑ ู…ู† 2 ู„ุงู† ุงุฐุง ูƒุงู†ุช ุงูƒุจุฑ ู…ู† 2 ู‡ูˆ reject
1668
+
1669
+ 418
1670
+ 00:32:41,780 --> 00:32:46,850
1671
+ ู…ุธุจูˆุทุฃูˆ ุฃู‚ู„ ู…ู† ุณุงู„ุจ 2ุŒ ุฅุฐุง ุฃุฑูŠุฏ ุฃู† ุฃุญุณุจ ุจู‡ุฐู‡
1672
+
1673
+ 419
1674
+ 00:32:46,850 --> 00:32:50,830
1675
+ ุงู„ุทุฑูŠู‚ุฉ
1676
+
1677
+ 420
1678
+ 00:32:50,830 --> 00:32:53,950
1679
+ ู‡ุฐู‡ ู†ุณู…ูŠู‡ุง ุงู„ู€ P-Value ุฃูˆ ุจุฑูˆุฏุด ูŠุนู†ูŠ ุจุญุณุจ .. ุจุทู„ุน
1680
+
1681
+ 421
1682
+ 00:32:53,950 --> 00:32:57,270
1683
+ ุฒูŠ ุงู„ู€ Statistic ุฃู†ุง ุญุณุจุช ุจุณู„ุจ 2 ู…ุด ู‡ูŠูƒ ุจุดูˆู ุฅูŠุด
1684
+
1685
+ 422
1686
+ 00:32:57,270 --> 00:33:03,730
1687
+ ุงุญุชู…ุงู„ ูŠูƒูˆู† ุฃูƒุจุฑ ุจูˆุงู‚ุนูŠู† ุฃูˆ ูˆุงู‚ุน ู†ุงุญูŠุฉ ุชุงู†ูŠุฉ ู…ู…ูƒู†
1688
+
1689
+ 423
1690
+ 00:33:03,730 --> 00:33:08,850
1691
+ ูŠู‚ุน ู†ุงุญูŠุฉ ุงู„ูŠู…ูŠู† ุฃูˆ ุงู„ุดู…ุงู„ ู„ูˆ ุทู„ุนุช ููŠ ุงู„ table
1692
+
1693
+ 424
1694
+ 00:33:08,850 --> 00:33:14,740
1695
+ ุนุดุงู† ุฃุญุณุจ ู‡ุฐุง ู…ุด ุญุฏุซ 6 ู…ุด ู‡ูŠูƒุจุชุทู„ุน ุนู†ุฏู†ุง negative
1696
+
1697
+ 425
1698
+ 00:33:14,740 --> 00:33:19,660
1699
+ two ุฅูŠุด
1700
+
1701
+ 426
1702
+ 00:33:19,660 --> 00:33:32,560
1703
+ ุงู„ุฌูˆุงุจุŸ Z ุฃู‚ู„ ู…ู† negative .. ุฌุงู‡ุฒุฉ ููŠ ุงู„ุฌุฏูˆู„ Zero,
1704
+
1705
+ 427
1706
+ 00:33:35,620 --> 00:33:41,660
1707
+ two, two, eight ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุง ุทู„ุนุช to the right
1708
+
1709
+ 428
1710
+ 00:33:41,660 --> 00:33:51,470
1711
+ to the left0,2,2,8 ุงู„ู…ุณุงุญุฉ to the left ู†ูุณู‡ุง
1712
+
1713
+ 429
1714
+ 00:33:51,470 --> 00:33:57,350
1715
+ ู„ุฃู† ู‡ุฐู‡ negative 2 ูˆู‡ุฐู‡ plus 2 ู†ูุณ ุงู„ value but in
1716
+
1717
+ 430
1718
+ 00:33:57,350 --> 00:34:00,550
1719
+ the opposite direction so the area to the right is
1720
+
1721
+ 431
1722
+ 00:34:00,550 --> 00:34:02,350
1723
+ the same as the area to the left
1724
+
1725
+ 432
1726
+ 00:34:09,330 --> 00:34:13,050
1727
+ ุงู†ุง ุจุญูƒูŠ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ู… ุงู…ุง ุงูƒุจุฑ ู…ู† ุงุชู†ูŠู† ุงูˆ ุงู‚ู„
1728
+
1729
+ 433
1730
+ 00:34:13,050 --> 00:34:17,810
1731
+ ู…ู† ุณู„ุจ ุงุชู†ูŠู† ุงู„ู„ูŠ ุงู‚ู„ ู…ู† ุณู„ุจ ุงุชู†ูŠู† ู…ุจุงุดุฑ ู…ู† ุงู„ุฌุฏูˆู„
1732
+
1733
+ 434
1734
+ 00:34:17,810 --> 00:34:23,810
1735
+ 0228 ุทุจ ุงุฐุง ุงุฎุชุงุฑ ุงู„ุฃูƒุจุฑ ู…ู† ุงุชู†ูŠู† one minus ู„ุฃ
1736
+
1737
+ 435
1738
+ 00:34:23,810 --> 00:34:28,010
1739
+ ุจุชุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„ ู…ุจุงุดุฑ ู…ู† ุงู„ุฌุฏูˆู„ ูˆุงู„ุชุงู†ูŠ ุฒูŠู‡ุง
1740
+
1741
+ 436
1742
+ 00:34:28,010 --> 00:34:30,930
1743
+ ูุชู„ุงุญุธ ุงู„ P value ุนุจุงุฑุฉ ุนู† ูŠุดุชุช ุงู†ุชู†ูŠู† ุฒูŠ ุจุนุถุŒ
1744
+
1745
+ 437
1746
+ 00:34:30,930 --> 00:34:35,270
1747
+ ู…ุธู‡ุฑุŸ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนุช ูˆุงุญุฏุฉ ูˆุถุฑุจุช ููŠ ุงุชู†ูŠู†ุŒ ุจุชุทู„ุน
1748
+
1749
+ 438
1750
+ 00:34:35,270 --> 00:34:40,730
1751
+ ุงู„ุฌูˆุงุจ ู…ุนุงูƒุŒ ุงุฐุง ู…ุนู†ุงูƒ ุงู†ุช ุทู„ุน ูˆุงุญุฏุฉ ุจุณูŠุนู†ูŠ ุทู„ุน
1752
+
1753
+ 439
1754
+ 00:34:40,730 --> 00:34:45,150
1755
+ ุณูˆุงุก ุงู„ู€ z ุทู„ุน negative ุฃูˆ positive ู…ุด ู…ุดูƒู„ุฉ ู„ุฅู†
1756
+
1757
+ 440
1758
+ 00:34:45,150 --> 00:34:48,070
1759
+ ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ ุงู„ two-sided ุฒูŠ ุจุนุถ ูุงู†ุช ู„ู…ุง ุชุดุชุบู„ูŠ
1760
+
1761
+ 441
1762
+ 00:34:48,070 --> 00:34:52,970
1763
+ ุฎุฏูŠู‡ุง absolute value ุญุชู‰ ู„ูˆ ุทู„ุนุช negative ุฎุฏูŠู‡ุง
1764
+
1765
+ 442
1766
+ 00:34:52,970 --> 00:34:57,930
1767
+ absolute value ูŠุนู†ูŠ ุงุชู†ูŠู† ููŠ ุงุญุชู…ุงู„ z ุฃูƒุจุฑ ู…ู†
1768
+
1769
+ 443
1770
+ 00:34:57,930 --> 00:35:01,470
1771
+ ุงุชู†ูŠู† ุฅุฐุง ุงู† ุฌุงูˆุจ ุนู„ู‰ ุทูˆู„ ู„ุงุฒู… ู‡ุฐู‡ ุฌุงู‡ุฒุฉ ู…ุนุงู‡ ู„ุงุฒู…
1772
+
1773
+ 444
1774
+ 00:35:01,470 --> 00:35:05,290
1775
+ ุจุทู„ุน .. ูŠุนู†ูŠ ุจุทู„ุน ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฃูˆ ุจุทู„ุน ูˆุงุญุฏุฉ ูˆ
1776
+
1777
+ 445
1778
+ 00:35:05,290 --> 00:35:09,090
1779
+ ุจุถุฑุจู‡ุง ููŠ ุงุชู†ูŠู† ููŠุทู„ุน ุงุชู†ูŠู† ุถุฑุจ zero ุงุชู†ูŠู† ุงุชู†ูŠู†
1780
+
1781
+ 446
1782
+ 00:35:09,090 --> 00:35:18,130
1783
+ ุชู…ุงู… ูŠุนู†ูŠุชุทู„ุน 0, 4, 5, 6 ุฅุฐุง ุทู„ุนุช ุงู„ P value 0,
1784
+
1785
+ 447
1786
+ 00:35:21,290 --> 00:35:27,170
1787
+ 4, 5, 6 now
1788
+
1789
+ 448
1790
+ 00:35:27,170 --> 00:35:34,630
1791
+ is this P value more than Alpha ุงู„ Alpha is 5%ูˆุงุถุญ
1792
+
1793
+ 449
1794
+ 00:35:34,630 --> 00:35:39,030
1795
+ 0.4 ุชู‚ุฑูŠุจุง ุฃู‚ู„ ู…ู† 0.5 ุฅุฐู† ุงู„ู‚ุฑุงุฑ ูŠ reject null
1796
+
1797
+ 450
1798
+ 00:35:39,030 --> 00:35:44,890
1799
+ hypothesis ุฅุฐู† is the b value less than alpha so
1800
+
1801
+ 451
1802
+ 00:35:44,890 --> 00:35:50,190
1803
+ we reject now in this case b value is 0.4566 which
1804
+
1805
+ 452
1806
+ 00:35:50,190 --> 00:35:53,630
1807
+ is more than 0.5 so we reject the null hypothesis
1808
+
1809
+ 453
1810
+ 00:35:53,630 --> 00:35:57,850
1811
+ so we end with the same result and conclude the
1812
+
1813
+ 454
1814
+ 00:35:57,850 --> 00:36:01,570
1815
+ same conclusion ูˆุงุถุญ ู†ูุณ ุงู„ู‚ุฑุงุฑ so we end with the
1816
+
1817
+ 455
1818
+ 00:36:01,570 --> 00:36:07,120
1819
+ same decisionูˆุงู„ู†ู‡ุงูŠุฉ ู†ูุณู‡ุง ู„ุฐุง ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ู‚ู„
1820
+
1821
+ 456
1822
+ 00:36:07,120 --> 00:36:10,560
1823
+ ู†ุธุฑูŠุฉ ุงู„ุงู†ุงู„ูŠุงุจูˆุฒูŠุณ ูˆู†ุญุตู„ ุนู„ู‰ ู†ูุณ ุงู„ู†ุชูŠุฌุฉ ุฃู† ู‡ู†ุงูƒ
1824
+
1825
+ 457
1826
+ 00:36:10,560 --> 00:36:17,160
1827
+ ุฃุซุงุฑุฉ ูƒุงููŠุฉ ู„ู†ู‚ู„ ุฃู† ุงู„ู€ mean ู„ูŠุณ ุฃู‚ู„ ู…ู† 30 ุทุจ ู„ูˆ
1828
+
1829
+ 458
1830
+ 00:36:17,160 --> 00:36:22,660
1831
+ ุนุงูŠุฒู‡ุง ุฃู‚ู„ ู…ู† ุงู„ู„ูŠ
1832
+
1833
+ 459
1834
+ 00:36:22,660 --> 00:36:31,720
1835
+ ู‡ูˆ ุฏู‡ ูƒู„ู‡ ุฃู†ุง ุนุงูŠุฒู‡ ุจุณ ุงู„ H1 ูƒุงู†ุช ู…ูŠูˆ ุฃู‚ู„ ู…ู† 30ูˆ
1836
+
1837
+ 460
1838
+ 00:36:31,720 --> 00:36:37,600
1839
+ ุงู„ Z ู…ุงุฒุงู„ุฉ negative 2 ุงู„ rejection ู‡ูŠ ู…ุธุจูˆุท to
1840
+
1841
+ 461
1842
+ 00:36:37,600 --> 00:36:41,500
1843
+ the left ูุงู„ probability ู‡ุชุณุงูˆูŠ ุงูˆ ุงู„ P value
1844
+
1845
+ 462
1846
+ 00:36:41,500 --> 00:36:48,420
1847
+ probability of Z less ูˆู„ุง ุฃูƒุจุฑุŸ less ู„ูŠุด lessุŸ ู„ุฃู†
1848
+
1849
+ 463
1850
+ 00:36:48,420 --> 00:36:53,460
1851
+ ุนู†ุฏ ู‡ู†ุง less ู„ูˆ ุฃูƒุจุฑ ุจุงุฎุฏ ุงู„ุฃูƒุจุฑ ุฅูŠุด ุทู„ุน ุงู„ job
1852
+
1853
+ 464
1854
+ 00:36:53,460 --> 00:36:57,920
1855
+ ู…ุนุงู‡ุŸ ู…ู† ุดูˆูŠุฉ ู„ุญุธุฉ
1856
+
1857
+ 465
1858
+ 00:36:57,920 --> 00:37:02,980
1859
+ ู†ุต ุงู„ู„ูŠ ุทู„ุนุช ู…ุด ู‡ูŠูƒุงู„ู†ุต ุงู„ู„ู‰ ุทู„ุนุช ุจุงู„ุทุจุน ุงู„ู‚ุฑุงุด
1860
+
1861
+ 466
1862
+ 00:37:02,980 --> 00:37:11,100
1863
+ ุทู„ุน reject ู…ุธุจูˆุท ู…ุน ูƒุฏู‡ ุงู„ mean ู…ุงู„ู‡ ุฃู‚ู„ ุฅุฐุง ูˆุงุถุญ
1864
+
1865
+ 467
1866
+ 00:37:11,100 --> 00:37:14,960
1867
+ ุฃู† ู‡ูŠ ุงู„ู†ุต ุงู„ู„ู‰ ูุงุชุช ู…ุด ุดุงูŠู ุทุจ ู„ูˆ ูˆุงุญุฏ ุนุงูŠุฒ ูŠุฎุชุจุฑ
1868
+
1869
+ 468
1870
+ 00:37:14,960 --> 00:37:20,520
1871
+ ู†ูุชุฑุถ 100 ุฃูƒุจุฑ ู…ู† 30 ุงู„
1872
+
1873
+ 469
1874
+ 00:37:20,520 --> 00:37:25,080
1875
+ P-Value ู‡ุชุณุงูˆูŠ probability of Z greater than
1876
+
1877
+ 470
1878
+ 00:37:25,080 --> 00:37:25,760
1879
+ negative 2
1880
+
1881
+ 471
1882
+ 00:37:29,570 --> 00:37:33,030
1883
+ ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ูˆ ุฃูƒุจุฑ ูุชุทู„ุน ุฃูƒุจุฑ ูˆู†ู‚ุต ุงุชู†ูŠู† ู‡ุงูŠ ุงู„ู€
1884
+
1885
+ 472
1886
+ 00:37:33,030 --> 00:37:38,850
1887
+ negative two ู…ุณุงุญุฉ ู‡ุฐู‡ ุงู„ team ุงู„ู…ุญุชู„ูŠุฉ ุงู„ู„ูŠ ูˆูŠู†
1888
+
1889
+ 473
1890
+ 00:37:38,850 --> 00:37:42,950
1891
+ to the left is on one minus p of z less than
1892
+
1893
+ 474
1894
+ 00:37:42,950 --> 00:37:46,030
1895
+ negative two ู‡ุงูŠ ุจุชุทู„ุน ุงู„ zero ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู…ุงู†ูŠ
1896
+
1897
+ 475
1898
+ 00:37:46,030 --> 00:37:51,440
1899
+ ุงุด ุจุชุทู„ุน ู‡ูŠูƒ nine seven seven twoู„ุญุธ๏ฟฝ๏ฟฝ ุงู„ู…ูƒู…ู„ุฉ
1900
+
1901
+ 476
1902
+ 00:37:51,440 --> 00:37:54,760
1903
+ ุชุจุนุชู‡ุง one minus ุทุจ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุฃูƒุจุฑ ุฑุฒู‚ ู…ู† ุงู„
1904
+
1905
+ 477
1906
+ 00:37:54,760 --> 00:37:58,480
1907
+ alpha ุฃูƒุจุฑ ุจูƒุชูŠุฑ ู…ู† ุงู„ alpha ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุฅูŠุด ุจูŠูƒูˆู†
1908
+
1909
+ 478
1910
+ 00:37:58,480 --> 00:38:04,060
1911
+ ู‡ุฐู‡ ุชุณุชูˆู‰ ุชู„ุงุชูŠู† ู…ุธุจูˆุท not reject ุฅุฐุง we don't
1912
+
1913
+ 479
1914
+ 00:38:04,060 --> 00:38:06,900
1915
+ reject the null hypothesis ุฎู„ู‘ูŠู†ุง ู†ู„ุงู‚ูŠ ุงู„ null
1916
+
1917
+ 480
1918
+ 00:38:06,900 --> 00:38:11,700
1919
+ ู…ูƒุชูˆุจ ู‡ู†ุง ู…ูŠูˆ equal ุชู„ุงุชูŠู† ูˆู‡ู†ุง ู…ูŠูˆ ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู†
1920
+
1921
+ 481
1922
+ 00:38:11,700 --> 00:38:16,860
1923
+ ูˆุญูƒูŠู†ุง ูƒู„ ูˆุงุญุฏ ู…ู†ู‡ู… opposite ู„ู„ุชุงู†ูŠ ุนูƒุณ ุจุนุถ ุทุจ
1924
+
1925
+ 482
1926
+ 00:38:16,860 --> 00:38:21,930
1927
+ ุงู„ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ุฅูŠุด ุจูŠูƒูˆู† ุงู„ opposite ุชุจุนู‡ุŸุฃูƒุจุฑ ุฃูˆ
1928
+
1929
+ 483
1930
+ 00:38:21,930 --> 00:38:27,010
1931
+ ุณูˆู‰ ุฅุฐุง ูƒุงู† ุฃู‚ู„ ุจุชูƒูˆู† ุงู„ู€ Opposite ุชุจู‚ู‰ ุชู…ุงู„ู‡ุง
1932
+
1933
+ 484
1934
+ 00:38:27,010 --> 00:38:31,270
1935
+ ุฃูƒุจุฑ ุฃูˆ ุณูˆู‰ุŒ ุฎู„ุงุตุŸ
1936
+
1937
+ 485
1938
+ 00:38:31,270 --> 00:38:37,730
1939
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ูˆุงุถุญ ุงู„ููƒุฑุฉุŸ ุฃู†ุง ุจุญูƒูŠ ุนู„ูŠู‡ ู‡ุฐู‡ ุงู„ู€ H0
1940
+
1941
+ 486
1942
+ 00:38:37,730 --> 00:38:45,050
1943
+ ุจุชุงุนุชู‡ุง ุงู„ุฃูƒุจุฑ ุจุชูƒูˆู† ุชุงุนุชู‡ุง ุฃู‚ู„ ู…ู† ุฃูˆ ุณูˆู‰ 30 ููŠ ุฃูŠ
1944
+
1945
+ 487
1946
+ 00:38:45,050 --> 00:38:50,170
1947
+ ุณุคุงู„ุŸ ุจุงู„ู†ุณุจุฉ ู„ู„ next time ุฅู† ุดุงุก ุงู„ู„ู‡ุงู„ู„ูŠ ุญูƒูŠุช
1948
+
1949
+ 488
1950
+ 00:38:50,170 --> 00:38:53,870
1951
+ ุจุฏูŠ ุญุฏ ุงู† ูŠุทู„ุน ูŠุดุฑุญู‡ุง ู‡ุฐุง ุงู„ slide ุจุชูƒู„ู… ุนู†
1952
+
1953
+ 489
1954
+ 00:38:53,870 --> 00:38:58,390
1955
+ confidence interval ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ุจุณ ู‡ุฐุง ุงู„ slide
1956
+
1957
+ 490
1958
+ 00:38:58,390 --> 00:39:02,030
1959
+ ุงู„ู„ู‚ุงุก
1960
+
1961
+ 491
1962
+ 00:39:02,030 --> 00:39:07,530
1963
+ ุงู„ุฌุงูŠ ู‡ูŠุจุฏุฃ ู…ู† ู‡ู†ุง do you ever truly know sigmaุŸ
1964
+
1965
+ 492
1966
+ 00:39:07,530 --> 00:39:12,150
1967
+ ู‡ู„ ุงู†ุช ุจุชุนุฑู sigma ูˆู„ุง ู„ุฃุŸ ู‡ุฐุง ู‡ู†ุจุฏุฃ ููŠ ุงู„ู„ู‚ุงุก
1968
+
1969
+ 493
1970
+ 00:39:12,150 --> 00:39:17,790
1971
+ ุงู„ุฌุงูŠ ุงู„ู„ูŠ ู‡ูŠุดุฑุญู‡ ู„ู…ูˆุถูˆุน ู‡ุฐุง ูƒู„ู‡ ูˆุจู†ู‚ู ู„ุบุงูŠุฉ
1972
+
1973
+ 494
1974
+ 00:39:22,360 --> 00:39:28,580
1975
+ ุงู„ุจุฑูˆุจูˆุฑุดู† ุงู„ู„ูŠ ู‡ูˆ ู„ุบุงูŠุฉ hypothesis test for
1976
+
1977
+ 495
1978
+ 00:39:28,580 --> 00:39:29,120
1979
+ proportion
1980
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/QnlzuFKkbgU.srt ADDED
@@ -0,0 +1,1433 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,820 --> 00:00:25,160
3
+ ุจุงุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ูƒู…ู„
4
+
5
+ 2
6
+ 00:00:25,160 --> 00:00:35,700
7
+ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุฏุณุฉ ุนุฑุถ ุนุดูˆุงุฆูŠ ุณุฃุจุฏุฃ ุจูƒูŠู ูŠู…ูƒู†ู†ุง
8
+
9
+ 3
10
+ 00:00:35,700 --> 00:00:40,420
11
+ ุงุณุชุฎุฏุงู… ุนุดูˆุงุฆูŠ ู…ู‚ุนุฏ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ
12
+
13
+ 4
14
+ 00:00:40,420 --> 00:00:48,880
15
+ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ
16
+
17
+ 5
18
+ 00:00:56,140 --> 00:01:04,080
19
+ ุงู„ุณุคุงู„ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฎุทูŠุท ู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช ุฅุฐุง ูƒุงู†ุช
20
+
21
+ 6
22
+ 00:01:04,080 --> 00:01:12,420
23
+ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูƒูŠู ู…ู…ูƒู† ู†ุญุณุจ ุงู„ูˆุงู‚ุนุงุช ููŠ ุงู„ุจูŠุงู†ุงุช
24
+
25
+ 7
26
+ 00:01:12,420 --> 00:01:18,940
27
+ ุงู„ูˆุงู‚ุนุงุช ูŠุนู†ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงุญุชู…ุงู„ ู…ุนู†ุงู‡ ููŠ ุงู„ุญุตุฉ ุฃู†
28
+
29
+ 8
30
+ 00:01:18,940 --> 00:01:21,200
31
+ ุงู„ู…ู†ุทู‚ุฉ ุชุญุช ุงู„ู…ุฎุทุท
32
+
33
+ 9
34
+ 00:01:23,840 --> 00:01:27,980
35
+ we are going to use the standardized normal table
36
+
37
+ 10
38
+ 00:01:27,980 --> 00:01:31,320
39
+ it's located at the end of your book ู„ูˆ ุทู„ุนุช ุนู„ู‰
40
+
41
+ 11
42
+ 00:01:31,320 --> 00:01:41,180
43
+ ุงู„ูƒุชุงุจ ููŠ ุงู„ุขุฎุฑ ููŠ ุนู†ุฏู†ุง table ุฃูˆุฑูŠูƒ ุฅูŠุงู‡ ููŠ ุงู„ุขุฎุฑ
44
+
45
+ 12
46
+ 00:01:41,180 --> 00:01:42,940
47
+ ุฎุงู„ุต ูŠุนู†ูŠ ููŠ tables
48
+
49
+ 13
50
+ 00:01:50,580 --> 00:01:53,740
51
+ ูŠุงุฑูŠุช ุงู„ูƒู„ ูŠูุชุญ ุนู„ู‰ ุงู„ุชุงุจู„ ููŠ ู†ู‡ุงูŠุฉ ุงู„ูƒุชุงุจุŒ ุฃูŠ
52
+
53
+ 14
54
+ 00:01:53,740 --> 00:01:59,600
55
+ ุตูุญุฉ ุจุฏูˆุฑ ุนู„ูŠู‡ุŸ ู…ูŠุชูŠู† ุชุณุนุฉ ูˆุณุจุนูŠู† ู…ูŠุชูŠู† ุชุณุนุฉ ูˆ
56
+
57
+ 15
58
+ 00:01:59,600 --> 00:02:12,900
59
+ ุณุจุนูŠู† ุฅุฐุง
60
+
61
+ 16
62
+ 00:02:12,900 --> 00:02:14,100
63
+ ู‡ูŠ ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูƒ
64
+
65
+ 17
66
+ 00:02:22,470 --> 00:02:27,630
67
+ ุฎู„ุงุต ุงู„ูƒู„ ูุงุชุญ ุนุงู… 1979 this
68
+
69
+ 18
70
+ 00:02:27,630 --> 00:02:32,830
71
+ table gives the area to the left of z ุจูŠุนุทูŠ ุงู„ู€
72
+
73
+ 19
74
+ 00:02:32,830 --> 00:02:41,770
75
+ ู…ุณุงุญุฉ ุนู„ู‰ ุงู„ุดู…ุงู„ ุฅุฐุง ุงู„ู€ table provides the
76
+
77
+ 20
78
+ 00:02:41,770 --> 00:02:47,270
79
+ probability to
80
+
81
+ 21
82
+ 00:02:47,270 --> 00:02:55,780
83
+ the left of z value ุงู„ุขู† ู…ุงุฐุง ูŠุนู†ูŠ ู‚ูŠู…ุฉ zุŸ ูŠุนู†ูŠ ุฅุฐุง
84
+
85
+ 22
86
+ 00:02:55,780 --> 00:03:02,320
87
+ ูƒุงู† ู„ุฏูŠู†ุง x ู…ุณุชุนู…ู„ ุจุดูƒู„
88
+
89
+ 23
90
+ 00:03:02,320 --> 00:03:06,760
91
+ ุนุงู… ุจู…ุนู†ู‰
92
+
93
+ 24
94
+ 00:03:06,760 --> 00:03:19,060
95
+ ู…ูŠูˆ ูˆู…ุนู†ู‰ ุณูŠุฌู…ุง ุซู…
96
+
97
+ 25
98
+ 00:03:19,060 --> 00:03:25,670
99
+ ูƒูŠู ู†ุฌุฏ zุŸX ุนุงู…ุฉ ูŠุนู†ูŠ ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู†
100
+
101
+ 26
102
+ 00:03:25,670 --> 00:03:28,390
103
+ ู…ูŠูˆู† ู…ูŠูˆู† ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
104
+
105
+ 27
106
+ 00:03:28,390 --> 00:03:34,250
107
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
108
+
109
+ 28
110
+ 00:03:34,250 --> 00:03:34,290
111
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
112
+
113
+ 29
114
+ 00:03:34,290 --> 00:03:34,350
115
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
116
+
117
+ 30
118
+ 00:03:34,350 --> 00:03:36,010
119
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
120
+
121
+ 31
122
+ 00:03:36,010 --> 00:03:50,770
123
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…
124
+
125
+ 32
126
+ 00:03:51,790 --> 00:03:54,930
127
+ ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุงู„ู€ table ุงู„ู„ูŠ ู„ุฏูŠู†ุง ูŠู…ู†ุญ ุงู„ู…ู†ุทู‚ุฉ ุฃูˆ
128
+
129
+ 33
130
+ 00:03:54,930 --> 00:04:01,050
131
+ ูŠู…ู†ุญ ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† ุงู„ู€ z-score ุฅุฐุง ูƒู†ุง
132
+
133
+ 34
134
+ 00:04:01,050 --> 00:04:07,910
135
+ ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ู€ tableุŒ ุงู„ู€ table ูŠุจุฏุฃ ุจู€-3.4 ุซู… ู†ุญู†
136
+
137
+ 35
138
+ 00:04:07,910 --> 00:04:12,270
139
+ ู„ุฏูŠู†ุง ู†ู‚ู„ 3.3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒุŒ ู„ุฐู„ูƒ ู„ู„ุฑู‚ู…ูŠู†ุŒ ู„ุฏูŠู†ุง z
140
+
141
+ 36
142
+ 00:04:12,270 --> 00:04:18,670
143
+ -score ู„ู…ูƒุงู†ูŠู† ู…ุญุฏุฏุฉ ูˆุงุญุฏุฉ ุจุณ ู„ุนู„ุงู…ุฉ ุนุดุฑูŠุฉ ูˆุงุญุฏุฉุŒ
144
+
145
+ 37
146
+ 00:04:18,670 --> 00:04:25,630
147
+ ุชู„ุงุญุธุŸ negative 3.4-3.3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ูˆุงุถุญ ุฃู†ู†ุง ู†ุฃุฎุฐ
148
+
149
+ 38
150
+ 00:04:25,630 --> 00:04:28,830
151
+ ุนู„ุงู…ุฉ ุนุดุฑูŠุฉ ูˆุงุญุฏุฉ ููŠู† ุงู„ู€ second decimal places
152
+
153
+ 39
154
+ 00:04:28,830 --> 00:04:33,750
155
+ ู…ูˆุฌูˆุฏุฉ ูˆูŠู† ููŠ ุงู„ columns ู‡ุงูŠ ุงู„ู€ columns ุจุชู…ุซู„ ุงู„ู€
156
+
157
+ 40
158
+ 00:04:33,750 --> 00:04:36,650
159
+ second decimal places ุงู„ุนู„ุงู…ุฉ ุงู„ุนุดุฑูŠุฉ ุงู„ุชุงู†ูŠุฉ ููŠ
160
+
161
+ 41
162
+ 00:04:36,650 --> 00:04:43,370
163
+ ุงู„ุนู…ุฏุฉ ูŠุนู†ูŠ ู„ูˆ .. ู„ูˆ ุนุงูŠุฒ ุงู„ู€ probability of z less
164
+
165
+ 42
166
+ 00:04:43,370 --> 00:04:45,470
167
+ than negative 3.3
168
+
169
+ 43
170
+ 00:04:48,020 --> 00:04:51,480
171
+ ุงู„ุขู† ู„ุฏูŠู†ุง ู…ู‚ุงุฑู†ุฉ ุฒูŠ ุฐู„ูƒ ุจุงู„ูุนู„ ู„ุฐู„ูƒ ุฃู‚ูˆู… ุจู‚ูŠู…ุฉ
172
+
173
+ 44
174
+ 00:04:51,480 --> 00:04:57,100
175
+ ุงู„ู€ -3.3 ู‡ุฐุง ู‡ูˆ ุงู„ู€ -3.3 ุงู„ุขู† ู…ุงู‡ูˆ ุงู„ู…ูƒุงู† ุงู„ุซุงู†ูŠ
176
+
177
+ 45
178
+ 00:04:57,100 --> 00:05:04,220
179
+ ุจุงู„ู…ู‚ุงุฑู†ุฉุŸ ู„ู…ุง ุจุญูƒูŠ negative 3.3 ู…ุด ู…ู…ูƒู† ุฃูƒุชุจ
180
+
181
+ 46
182
+ 00:05:04,220 --> 00:05:08,720
183
+ ุจู‡ุงูŠูƒ negative 3.30 ู…ุน ูƒุฏู‡ ุงู„ู€ second ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ
184
+
185
+ 47
186
+ 00:05:08,720 --> 00:05:15,910
187
+ ุงู„ู€ decimal ุนุจุงุฑุฉ ุนู† ุฒูŠุฑูˆ ู…ุธุจูˆุท ู„ู…ุง ุจูƒุชุจ ู†ู‚ุต 3.3 ู…ุด
188
+
189
+ 48
190
+ 00:05:15,910 --> 00:05:21,830
191
+ ู…ู…ูƒู† ุงูƒุชุจู‡ ู†ุงู‚ุต 3.30ุŸ ูŠุนู†ูŠ ู†ุงู‚ุต 3.3 ู…ุนู†ุงู‡ ู†ุงู‚ุต 3
192
+
193
+ 49
194
+ 00:05:21,830 --> 00:05:32,530
195
+ .30 now what's the value under negative 3.3ุŸ
196
+
197
+ 50
198
+ 00:05:32,530 --> 00:05:38,030
199
+ ุทู„ุน ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ุนุงูƒ ุงูุชุญ ุงู„ุฌุฏูˆู„ ููŠ ุงู„ุขุฎุฑ ููŠ ูƒุชุงุจ
200
+
201
+ 51
202
+ 00:05:38,030 --> 00:05:42,830
203
+ ููŠ table ุทู„ุน ุนู„ูŠู‡ ู†ุงู‚ุต 3.3 ูƒุฏู‡ ุชุญุช ุงู„ู€ zeroุŸ
204
+
205
+ 52
206
+ 00:05:45,580 --> 00:05:52,240
207
+ 0,0,5ุŒ 3,0,5 ุดูุชูˆุง
208
+
209
+ 53
210
+ 00:05:52,240 --> 00:05:55,380
211
+ ุงู„ุฎู…ุณุฉ ู…ู‚ุงุจู„ ุชู„ุงุชุฉ point ุชู„ุงุชุฉ ุชุญุช ุงู„ู€ zero
212
+
213
+ 54
214
+ 00:05:55,380 --> 00:06:01,640
215
+ ุทุจ ู„ูˆ ู…ุด ุนุงูŠุฒ ุชู„ุงุชุฉ point ุชู„ุงุชุฉ negative three
216
+
217
+ 55
218
+ 00:06:01,640 --> 00:06:06,400
219
+ point three six one decimal place three point
220
+
221
+ 56
222
+ 00:06:06,400 --> 00:06:12,420
223
+ three ู‡ูŠ ูˆุฃู†ุง ู‡ู…ุดูŠ second decimal ุณุชุฉ ุจู…ุดูŠ ุนู„ู‰ ุงู„ู€
224
+
225
+ 57
226
+ 00:06:12,420 --> 00:06:12,680
227
+ six
228
+
229
+ 58
230
+ 00:06:15,990 --> 00:06:25,630
231
+ ู„ูŠู‡ ู‡ุฐุง ู…ุธุจูˆุทุŸ ุงูŠุด ุงู„ุฌูˆุงุจ ุจุชุทู„ุนุŸ ู…ุนุงูƒ
232
+
233
+ 59
234
+ 00:06:25,630 --> 00:06:33,350
235
+ ูƒุชุงุจูƒ ู…ุธุจูˆุทุŸ ุทู„ุน ุงู„ูƒุชุงุจ 0.0004
236
+
237
+ 60
238
+ 00:06:33,350 --> 00:06:43,850
239
+ Z less than negative 2.43 ุทู„ุน
240
+
241
+ 61
242
+ 00:06:43,850 --> 00:06:52,150
243
+ ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ุนุงูƒ -2.4 ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
244
+
245
+ 62
246
+ 00:06:52,150 --> 00:06:57,870
247
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
248
+
249
+ 63
250
+ 00:06:57,870 --> 00:07:01,410
251
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
252
+
253
+ 64
254
+ 00:07:01,410 --> 00:07:01,430
255
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
256
+
257
+ 65
258
+ 00:07:01,430 --> 00:07:01,450
259
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
260
+
261
+ 66
262
+ 00:07:01,450 --> 00:07:01,550
263
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
264
+
265
+ 67
266
+ 00:07:15,540 --> 00:07:22,600
267
+ ูˆุงุตู„ ู„ุบุงูŠุฉ ูˆูŠู†ุŸ zero ุงู„ุขู†
268
+
269
+ 68
270
+ 00:07:22,600 --> 00:07:28,920
271
+ ุนู†ุฏ ุงู„ู€ zero ุงูŠุด ุงู„ุฌูˆุงุจ ู…ูˆุฌูˆุฏุŸ
272
+
273
+ 69
274
+ 00:07:28,920 --> 00:07:32,460
275
+ ุทู„ุน .. ุจุงู„ู„ู‡ ุทู„ุน ุฌูŠุจ ุณูŠูƒ ููŠ ุงู„ุดุงุดุฉ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุนุงูƒ
276
+
277
+ 70
278
+ 00:07:32,460 --> 00:07:39,500
279
+ ุงู„ูƒุชุงุจ ุงู„ู€ zero ุชุญุช ุงู„ู€ zero ุฒูŠ ุฃู‚ู„ ู…ู† zero ุงูŠุด
280
+
281
+ 71
282
+ 00:07:39,500 --> 00:07:43,320
283
+ ุจุชุณูˆูŠุŸ point five ู…ุด ู‡ูŠูƒุŸ
284
+
285
+ 72
286
+ 00:07:47,000 --> 00:07:58,160
287
+ ู‡ู„ ู‡ุฐุง ุงู„ุฌูˆุงุจ ู…ู†ุทู‚ูŠ ุจุงู„ู†ุณุจุฉ ู„ูƒุŸ ู„ุฃ ุฃุญุณู† ู„ุฃู†
288
+
289
+ 73
290
+ 00:07:58,160 --> 00:08:04,160
291
+ ู‡ุงูŠ ุงู„ู€ zero ุงู„ู€ Z ู„ู‡ normal with mean zero ู…ุด ู‡ูŠูƒุŸ
292
+
293
+ 74
294
+ 00:08:04,160 --> 00:08:08,700
295
+ ุญูƒูŠู†ุงู‡ุง ู…ุฑุฉ ูุงุชุฑุฉ Z score ู„ู‡ mean equal zero sigma
296
+
297
+ 75
298
+ 00:08:08,700 --> 00:08:13,780
299
+ one ู…ุธุจูˆุทุŸ ุงู„ู„ูŠ ู„ู…ุง ุจุญูƒูŠ ุงุญุชู…ุงู„ z ู‡ูŠ ุฃู‚ู„ ู…ู† zero
300
+
301
+ 76
302
+ 00:08:13,780 --> 00:08:18,220
303
+ ุงู„ู€ ู…ุณุงุญุฉ ุฏูŠ ูƒู„ู‡ุง ุงู„ู€ area ูƒู„ู‡ุง ุงูŠุด ุจุชุณุงูˆูŠ ุฃุญูƒูŠู‡ุง
304
+
305
+ 77
306
+ 00:08:18,220 --> 00:08:20,700
307
+ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ ุงู„ู€ area underneath the normal curve
308
+
309
+ 78
310
+ 00:08:20,700 --> 00:08:27,860
311
+ equals one ุฅุฐุง ูƒู„ู‡ุง ูˆุงุญุฏ ูˆู‡ุฐุง ุงู„ู€ mean ูˆู‡ุฐุง ุงู„ู€
312
+
313
+ 79
314
+ 00:08:27,860 --> 00:08:33,320
315
+ mean ููŠ ุงู„ู†ุต ูˆูƒู„ู‡ุง ูˆุงุญุฏ ู†ุต ู†ุต ูุจุงู„ุชุงู„ูŠ ุฃู†ุง one
316
+
317
+ 80
318
+ 00:08:33,320 --> 00:08:38,380
319
+ half ูˆู‡ุฐู‡ one half ูุจุงู„ุชุงู„ูŠ ู„ู…ุง ูŠุทู„ุน ู†ุต ุฃูƒูŠุฏ ูŠุฌูŠุจ
320
+
321
+ 81
322
+ 00:08:38,380 --> 00:08:45,960
323
+ ุตุญ ู†ุดู†ุช ูู„ุณูุฉ ูƒุชูŠุฑ ุงูŠู‡ ุงู„ุตูุฑ ุจุตูุฑ ู†ุตู ูุงู„ู€ table
324
+
325
+ 82
326
+ 00:08:45,960 --> 00:08:50,200
327
+ ุงู„ู„ูŠ ุนู†ุฏูƒ ุชุจุน ุงู„ู€ negative z ุงู„ู€ probabilities ู…ู†
328
+
329
+ 83
330
+ 00:08:50,200 --> 00:08:59,380
331
+ zero ู„ุบุงูŠุฉ ู†ุต ู…ู†ุทู‚ูŠุง ุงู„ุตูุญุฉ ุงู„ุชุงู†ูŠุฉ ุจูŠุจุฏุฃ
332
+
333
+ 84
334
+ 00:08:59,380 --> 00:09:05,620
335
+ ู…ู† ูˆูŠู† ู…ู† zero ุทูŠุจ ุจูŠุงุฎุฏ ูŠุนู†ูŠ ุงู„ู€ positive z scores
336
+
337
+ 85
338
+ 00:09:05,620 --> 00:09:09,100
339
+ ุทุจ ุฎุฏ ู…ุน ุงู„ู€ positive ุฃุนุทูŠูƒูŠ ุดูˆูŠุฉ ุฃู…ุซู„ุฉ
340
+
341
+ 86
342
+ 00:09:11,960 --> 00:09:19,160
343
+ ู„ูˆ ุนุงูŠุฒ ุงุญุชู…ุงู„ Z ุฃู‚ู„ ู…ู† 1.56 ุจุฏูŠ
344
+
345
+ 87
346
+ 00:09:19,160 --> 00:09:23,460
347
+ ูˆุงุญุฏุฉ ุชุทู„ุน ูˆุชูˆุฑูŠู†ูŠู‡ุง ุนู„ู‰ ุงู„ุดุงุดุฉ ูˆุงุญุฏุฉ ุชุทู„ุน ูˆ
348
+
349
+ 88
350
+ 00:09:23,460 --> 00:09:27,020
351
+ ุชูˆุฑูŠู†ูŠู‡ุง ุนู„ู‰ ุงู„ุดุงุดุฉ ุจุฏูŠ ุฃุจุทู„ ุฃุดุฑุญ ุงู„ุฏู‚ุฉ ู‡ุฐุง ูˆ
352
+
353
+ 89
354
+ 00:09:27,020 --> 00:09:32,560
355
+ ุงู„ุฅุฌุงุจุฉ ุฎู„ูŠูƒู… ุฃุบู„ุจูƒู… ูˆุฃู†ุชู… ุชุดุฑุญูˆุง ู…ุงููŠ ูƒู„ุงู… ุชุงู†ูŠ
356
+
357
+ 90
358
+ 00:09:32,560 --> 00:09:33,400
359
+ ู‡ู†ุง ุฎุฏูŠ ู‡ุฐุง
360
+
361
+ 91
362
+ 00:09:54,620 --> 00:09:57,820
363
+ ุฎู„ุงุต ุงูƒุชุจ ุงู„ุฌูˆุงุจ ู‡ู†ุง ุงูƒุชุจ ุงู„ุฌูˆุงุจ
364
+
365
+ 92
366
+ 00:10:13,230 --> 00:10:26,690
367
+ -1.5 ุชุญุช ุงู„ู€ 6 9406 ุจุณ ููŠู‡ ุงู„ู€ point ุจุณ ุจุณ
368
+
369
+ 93
370
+ 00:10:26,690 --> 00:10:26,930
371
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
372
+
373
+ 94
374
+ 00:10:26,930 --> 00:10:27,470
375
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
376
+
377
+ 95
378
+ 00:10:27,470 --> 00:10:27,550
379
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
380
+
381
+ 96
382
+ 00:10:27,550 --> 00:10:27,890
383
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
384
+
385
+ 97
386
+ 00:10:27,890 --> 00:10:31,270
387
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจ
388
+
389
+ 98
390
+ 00:10:33,010 --> 00:10:41,190
391
+ ุงู„ุฌุฏูˆู„ ุงู„ุจุฏุก ู…ู† 0 ู„ุบุงูŠุฉ ุฃูŠู†ุŸ ู„ู€ 3.4 ุงูŠุด ุงู„ุฌูˆุงุจ
392
+
393
+ 99
394
+ 00:10:41,190 --> 00:10:50,110
395
+ ุงู„ุณุงูˆูŠุŸ ุชุญุช ุงู„ู€ 0 9997 ุฎู„ู‘ูŠู†ูŠ
396
+
397
+ 100
398
+ 00:10:50,110 --> 00:10:58,810
399
+ ุฃูƒู…ู„ ุทุจ ุงูŠุด ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู„ู„ู€ ZุŸ 3.4 ุชุญุช ู…ูŠู†ุŸ ุชุญุช
400
+
401
+ 101
402
+ 00:10:58,810 --> 00:11:06,850
403
+ ุงู„ุชุณุนุฉ ู…ุธุจูˆุทุŸ ุทูŠุจ ุงุญุชู…ุงู„ B of Z less than 3.49 ุงูŠุด
404
+
405
+ 102
406
+ 00:11:06,850 --> 00:11:14,170
407
+ ุณูˆุชุŸ ุขุฎุฑ ูˆุงุญุฏุฉ 9998 ู…ุน ูƒุฏู‡ ุทู„ุนุช ุนู„ู‰ ุงู„ู€ two tables
408
+
409
+ 103
410
+ 00:11:14,170 --> 00:11:18,930
411
+ ุงู„ุฃูˆู„ ู…ู† zero ู„ุบุงูŠุฉ ู†ุต ูˆู‡ุฐุง ู…ู† ู†ุต ู„ุบุงูŠุฉ ุชู‚ุฑูŠุจุง
412
+
413
+ 104
414
+ 00:11:18,930 --> 00:11:26,490
415
+ ูˆูŠู†ุŸ ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ุฃู†ุง ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ุฑุณู…ุฉ ู‡ุฐู‡ ุจุชุงุนุฉ
416
+
417
+ 105
418
+ 00:11:26,490 --> 00:11:27,230
419
+ ุงู„ู€ positive Z
420
+
421
+ 106
422
+ 00:11:32,510 --> 00:11:39,170
423
+ ูˆู‡ูŠ 3.49 ุงู„ู€ area to the left ุงู„ู€ ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุด ู‡ูŠูƒ
424
+
425
+ 107
426
+ 00:11:39,170 --> 00:11:51,790
427
+ ุงูŠุด ุณูˆุช ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ุทู„ุนู†ุง ุชุญุชู‡ 998 ู…ุธุจูˆุท ู„ูˆ ูƒุจุฑุชู‡ุง
428
+
429
+ 108
430
+ 00:11:51,790 --> 00:12:00,630
431
+ ุดูˆูŠุฉ ูŠุนู†ูŠ ู…ุด 3.49 ุฃุฎุฐู†ุงู‡ุง ุฒูŠ less than 4.65 ุงู„ู€ 4.6
432
+
433
+ 109
434
+ 00:12:00,630 --> 00:12:04,690
435
+ ู…ุด ู…ูˆุฌูˆุฏุฉ ุจุณ ุฃู†ุง ู„ูˆ ุฏุฎู„ุช to the right ู…ุดูŠุช ู„ุฌูˆู‡ ุนู„ู‰
436
+
437
+ 110
438
+ 00:12:04,690 --> 00:12:11,050
439
+ ุงู„ูŠู…ูŠู† ู…ุงุดูŠู†ุง ู‡ู†ุง 4
440
+
441
+ 111
442
+ 00:12:11,050 --> 00:12:15,250
443
+ .65 ูˆุจุฏูŠ ุงู„ู€ ู…ุณุงุญุฉ to the left ู…ุด ู‡ุถูŠูู‡ุง ุฏู…ุงุบู‡ุง
444
+
445
+ 112
446
+ 00:12:15,250 --> 00:12:20,170
447
+ ุฃุญุณู‡ุง ุชู‚ุฑูŠุจุง ุงูŠุดุŸ ูˆุงุญุฏ ููŠ ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ
448
+
449
+ 113
450
+ 00:12:20,170 --> 00:12:26,150
451
+ ุงู„ุฌุฏูˆู„ ู…ุนู†ุงู‡ ุฌูˆุงุจ ู…ุงู„ู‡ close to one ู„ุฃู†ู‡ุง ู…ุด
452
+
453
+ 114
454
+ 00:12:26,150 --> 00:12:29,650
455
+ ู…ูˆุฌูˆุฏุฉ ููƒู„ ู…ุง ุฃุฏุฎู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุงู„ู€ ู…ุณุงุญุฉ ุนุงู…ุฉ ุจุชู‚ุชุฑุจ
456
+
457
+ 115
458
+ 00:12:29,650 --> 00:12:33,750
459
+ ู…ู† ูˆุงุญุฏ ุทุจ ู†ูุณ ุงู„ุดูŠุก ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ู€ negative ุฒูŠุŸ
460
+
461
+ 116
462
+ 00:12:33,750 --> 00:12:37,110
463
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูŠ ู„ุบุงูŠุฉ ูˆูŠู†ุŸ negative three point
464
+
465
+ 117
466
+ 00:12:37,110 --> 00:12:42,650
467
+ zero ู…ุธุจูˆุท ูˆุชุณุนุฉ ููŠ ุงู„ุขุฎุฑ ูŠุนู†ูŠ ุจุชุงุน ุงู„ู€ negative
468
+
469
+ 118
470
+ 00:12:42,650 --> 00:12:47,870
471
+ ู‡ูŠ ุขุฎุฑ ู‚ูŠู…ุฉ ุฎุงู„ุต ู‡ูŠ negative three point four
472
+
473
+ 119
474
+ 00:12:47,870 --> 00:12:51,610
475
+ nine ุงูŠุด ุงู„ู€ area to the leftุŸ zero zero zero zero
476
+
477
+ 120
478
+ 00:12:51,610 --> 00:12:54,950
479
+ ุงุชู†ูŠู† ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ ุงู„ู€ ู…ุณุงุญุฉ ู‡ุฐู‡ ู‡ูŠูƒ ุงู„ู€ area
480
+
481
+ 121
482
+ 00:12:54,950 --> 00:13:00,780
483
+ probability point zero zero zero ุงุชู†ูŠู† ู„ูˆ ุนุงูŠุฒ ุฃู‚ู„
484
+
485
+ 122
486
+ 00:13:00,780 --> 00:13:09,500
487
+ ู…ู†ู‡ุง ูŠุนู†ูŠ ู‡ุฐุง ุงุญุชู…ุงู„ z ุฃู‚ู„ ู…ู† negative 3.49 ุงู„ุฌูˆุงุจ
488
+
489
+ 123
490
+ 00:13:09,500 --> 00:13:16,660
491
+ 0002 ู„ูˆ ุนุงูŠุฒ ุฃุตุบุฑ ู…ู†ู‡ุง ูŠุนู†ูŠ ุนุงูŠุฒ ู…ุด negative 3.49
492
+
493
+ 124
494
+ 00:13:16,660 --> 00:13:20,540
495
+ suppose we are interested in b of z less than
496
+
497
+ 125
498
+ 00:13:20,540 --> 00:13:28,660
499
+ negative 4.8 4.8 ุจุงู„ุนุฑุจูŠ ู‡ูŠูƒ negative 4.8 ูˆูŠู† ุฌุงูŠุฉ
500
+
501
+ 126
502
+ 00:13:29,640 --> 00:13:34,520
503
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุฃูƒุชุฑ ู…ุธุจูˆุท ู‡ูŠ negative 4.8 ู„ุฃู† ุงู„ู€ ู…ุณุงุญุฉ
504
+
505
+ 127
506
+ 00:13:34,520 --> 00:13:39,100
507
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ู…ุด ู…ุชุณุงูˆูŠ ุฃุตุบุฑ ู…ู† ุงู„ู„ูŠ ูุงุชุช ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง
508
+
509
+ 128
510
+ 00:13:39,100 --> 00:13:45,400
511
+ zero ุฅุฐุง ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ negative zero ุฃูŠ
512
+
513
+ 129
514
+ 00:13:45,400 --> 00:13:48,600
515
+ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ positive ุฃูƒุชุฑ ู…ู† 3.4 ุชุนุชุจุฑ
516
+
517
+ 130
518
+ 00:13:48,600 --> 00:13:56,120
519
+ ูˆุงุญุฏ ุฎู„ุงุต ุทูŠุจ ุฎู„ูŠู†ูŠ ุฃุฑุฌุน ู„ู„ู€ slide ุชุงู†ูŠ ููŠ ุฃูŠ ุณุคุงู„
520
+
521
+ 131
522
+ 00:13:56,120 --> 00:14:00,130
523
+ ููŠ ุงู„ุฃูˆู„ ุงู„ูƒู„ู…ุชูŠู† ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ู… ู…ู‡ู…ุงุช ุฌุฏุง ู…ุน
524
+
525
+ 132
526
+ 00:14:00,130 --> 00:14:04,790
527
+ ุงู„ู…ู…ุงุฑุณุฉ ุชุนู…ู„ ุงู„ู€ practice ุฃูƒุชุฑ ุทุจุนุง ุงู„ู€ practice ููŠ
528
+
529
+ 133
530
+ 00:14:04,790 --> 00:14:12,410
531
+ ุนู†ุฏูƒ practice ู„ู„ chapter ู…ูˆุฌูˆุฏ ููŠ ู†ู‡ุงูŠุฉ ุงู„ูƒุชุงุจ ุฎู„ูŠ
532
+
533
+ 134
534
+ 00:14:12,410 --> 00:14:18,330
535
+ ุจุงู„ูƒ ู…ุนุงูƒ ุฎู„ูŠ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุงู„ู„ูŠ
536
+
537
+ 135
538
+ 00:14:18,330 --> 00:14:24,070
539
+ ุฃู†ุง ุนุงูŠุฒู‡ ู…ู†ูƒ ุชู†ุชุจู‡ ุจุณ ูˆุงูุชุญ ุงู„ูƒุชุงุจ ุนู„ู‰ ุงู„ุขุฎุฑ ุนู„ู‰
540
+
541
+ 136
542
+ 00:14:24,070 --> 00:14:28,360
543
+ ุงู„ุขุฎุฑ ุตูุญุฉ ุงู„ู„ูŠ ููŠู‡ุง ุงู„ู€ table ุจุณ ุณูŠุจูƒ ุฎู„ูŠูƒูŠ ุนู„ู‰ ุงู„ู€
544
+
545
+ 137
546
+ 00:14:28,360 --> 00:14:33,160
547
+ table ุงู„ูŠูˆู… ุฎู„ูŠูƒูŠ ุนู„ู‰ ุงู„ู€ table
548
+
549
+ 138
550
+ 00:14:33,160 --> 00:14:38,280
551
+ ุงู„ู„ูŠ ุฃู†ุง ุจู†ุตุญูƒ ุชุญุงูˆู„ูŠ ุชุตูˆุฑูŠ ุงู„ู€ tables ู‡ุฏูˆู„ ุฎู„ูŠู‡ู…
552
+
553
+ 139
554
+ 00:14:38,280 --> 00:14:42,020
555
+ ู…ุนุงูƒ ุทุจุนุง ููŠ ุงู„ุงู…ุชุญุงู† ุฃู†ุง ุจุนุทูŠูƒูŠ ุงู„ู€ tables ูŠุนู†ูŠ
556
+
557
+ 140
558
+ 00:14:42,020 --> 00:14:46,880
559
+ ุงู…ุชุญุงู† ุงู„ู€ tables ุจุจุนุฏูŠูƒูŠู‡ู… ู„ูˆ ุชุทู„ุน ุนู„ู‰ ุงู„ู€ example
560
+
561
+ 141
562
+ 00:14:46,880 --> 00:14:50,060
563
+ ุงู„ู„ูŠ ู‡ู†ุง P of Z less than 2
564
+
565
+ 142
566
+ 00:14:55,420 --> 00:14:58,440
567
+ ุงู„ู€ z is given suppose we are interested in this
568
+
569
+ 143
570
+ 00:14:58,440 --> 00:15:08,600
571
+ probability ุนู†ุฏ ุงู„ู€ 2 ุจุงู„ุธุจุท ูŠุนู†ูŠ 2.0 under 0 2.0
572
+
573
+ 144
574
+ 00:15:08,600 --> 00:15:16,840
575
+ under 0 this
576
+
577
+ 145
578
+ 00:15:16,840 --> 00:15:24,140
579
+ is 2.0 go to the right just one place ุณุชุญุตู„ ุนู„ู‰
580
+
581
+ 146
582
+ 00:15:24,140 --> 00:15:32,280
583
+ 9772 ุฅุฐุง ูุฅู† ุนุฏุฏ ุงู„ู€ z ุฃู‚ู„ ู…ู† 2 ูŠุนู†ูŠ 0.9772 ููŠ ุฃูŠ
584
+
585
+ 147
586
+ 00:15:32,280 --> 00:15:37,340
587
+ ุณุคุงู„ุŸ
588
+
589
+ 148
590
+ 00:15:37,340 --> 00:15:41,860
591
+ ุฅุฐุง
592
+
593
+ 149
594
+ 00:15:41,860 --> 00:15:50,210
595
+ ูุฅู†ูƒ ุชู„ู‚ู‰ ุนุฏุฏ ุงู„ู€ z 2.0 ูˆุชุชุญุฑูƒ ุฅู„ู‰ ุฌู‡ุฉ ุฃุนู„ู‰ ู„ุฃู†
596
+
597
+ 150
598
+ 00:15:50,210 --> 00:16:01,970
599
+ ู„ุฏูŠู†ุง ูู‚ุท 2.00 ูุนู†ุฏ 0 ู‡ู†ุง ู„ุฏูŠู†ุง 9 7 7 2 ุงู„ุขู†
600
+
601
+ 151
602
+ 00:16:01,970 --> 00:16:05,810
603
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ุนุงุฏู„ุงุช ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
604
+
605
+ 152
606
+ 00:16:05,810 --> 00:16:06,970
607
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
608
+
609
+ 153
610
+ 00:16:06,970 --> 00:16:07,030
611
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
612
+
613
+ 154
614
+ 00:16:07,030 --> 00:16:09,090
615
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
616
+
617
+ 155
618
+ 00:16:09,090 --> 00:16:09,290
619
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
620
+
621
+ 156
622
+ 00:16:17,800 --> 00:16:20,660
623
+ ู‡ู†ุง ูŠูˆุฌุฏ ุฎุทูˆุงุช ุฃูƒุซุฑ ุซู„ุงุซุฉ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ
624
+
625
+ 157
626
+ 00:16:20,660 --> 00:16:21,500
627
+ ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ
628
+
629
+ 158
630
+ 00:16:21,500 --> 00:16:22,760
631
+ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช
632
+
633
+ 159
634
+ 00:16:22,760 --> 00:16:26,780
635
+ ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช
636
+
637
+ 160
638
+ 00:16:26,780 --> 00:16:33,820
639
+ ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ
640
+
641
+ 161
642
+ 00:16:33,820 --> 00:16:35,580
643
+ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช
644
+
645
+ 162
646
+ 00:16:35,580 --> 00:16:44,460
647
+ ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุทูˆุงุช ุฃูƒุซุฑ ุฎุท
648
+
649
+ 163
650
+ 00:17:01,860 --> 00:17:11,800
651
+ ุฏุนูˆู†ุง ู†ู‚ูˆู… ุจุงู„ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุนู†ูŠ convert ุชุฑุฌู…ุฉ
652
+
653
+ 164
654
+ 00:17:11,800 --> 00:17:20,880
655
+ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ
656
+
657
+ 165
658
+ 00:17:20,880 --> 00:17:21,400
659
+ ุชุฑุฌู…ุฉ
660
+
661
+ 166
662
+ 00:17:24,140 --> 00:17:30,400
663
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุญูˆูŠู„ X ุฅู„ู‰ ZุŸ ุจุงุณุชุฎุฏุงู… ุงู„ูˆุงู‚ุน Z ูŠู‚ู„ X
664
+
665
+ 167
666
+ 00:17:30,400 --> 00:17:36,000
667
+ ู†ุงู‚ุต ู…ูŠูˆ ุชู‚ุฑูŠุฑู‡ ุจุณูŠุฌู…ุง X ู†ุงู‚ุต .. ู‡ุฐุง ูŠุนู†ูŠ ููŠ
668
+
669
+ 168
670
+ 00:17:36,000 --> 00:17:39,920
671
+ ุงู„ูˆุงู‚ุน X
672
+
673
+ 169
674
+ 00:17:39,920 --> 00:17:46,600
675
+ ู†ุงู‚ุต .. ู…ูŠู† X ุชู‚ุฑูŠุฑู‡ ุจุณูŠุฌู…ุง X ูู‚ุท ู„ุชุนุฑูŠูุงุช ุจุณูŠุทุฉ
676
+
677
+ 170
678
+ 00:17:46,600 --> 00:17:49,040
679
+ ู†ุณุชุฎุฏู… X ู†ุงู‚ุต ู…ูŠูˆ ุนู„ู‰ ุณูŠุฌู…ุง
680
+
681
+ 171
682
+ 00:17:54,500 --> 00:17:58,220
683
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุทุจูŠุนูŠุฉ ุงู„ุตู†ุฏูˆู‚ูŠุฉ ู„ุชุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู‚ุงุนุฏุฉุŒ
684
+
685
+ 172
686
+ 00:17:58,220 --> 00:18:02,960
687
+ ูู‡ู†ุง ูŠูˆุฌุฏ ุฃุณุงุณู‹ุง ุซู„ุงุซ ุฎุทูˆุงุช ู„ุชู‚ูˆู… ุจุชุญุฏูŠุซ ุฃูŠ ู…ุนุฑูˆู
688
+
689
+ 173
690
+ 00:18:02,960 --> 00:18:09,320
691
+ ุชุญุช ุงู„ู‚ูŠุงุฏุฉ ุงู„ุทุจูŠุนูŠุฉ. ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุฃุนุชู‚ุฏ ุฃู† X
692
+
693
+ 174
694
+ 00:18:09,320 --> 00:18:13,420
695
+ ู‡ูˆ ุงู„ูˆู‚ุช ุงู„ุฐูŠ ูŠุณุชุบุฑู‚ ููŠ ุซุงู†ูˆูŠุฉ ู„ุชุญู…ูŠู„ ู…ู„ู ุตูˆุฑุฉ ู…ู†
696
+
697
+ 175
698
+ 00:18:13,420 --> 00:18:21,570
699
+ ุงู„ุฅู†ุชุฑู†ุช ูˆ X ู…ุซู„ ุงู„ุฒู…ู† ุงู„ุฒู…ู† ู…ุณุชู…ุฑ ูˆู„ุง ู…ุณุชู…ุฑุŸ ู…ุณุชู…ุฑ
700
+
701
+ 176
702
+ 00:18:21,570 --> 00:18:26,410
703
+ ู„ุฃู†ู‡ ู„ุง ูŠู…ูƒู† ุฃู† ูŠุฃุฎุฐ ุฃูŠ ู‚ูŠู…ุฉ ู…ุธุจูˆุทุŸ ุงู„ูˆู‚ุช ูŠู…ูƒู† ุฃู†
704
+
705
+ 177
706
+ 00:18:26,410 --> 00:18:31,930
707
+ ูŠูƒูˆู† 3.6 3 3.5 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุŒ ู„ุฐู„ูƒ ุงู„ูˆู‚ุช ูŠุนุชุจุฑ
708
+
709
+ 178
710
+ 00:18:31,930 --> 00:18:33,770
711
+ ู…ุณุชู…ุฑู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง
712
+
713
+ 179
714
+ 00:18:33,770 --> 00:18:37,310
715
+ ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง
716
+
717
+ 18
718
+
719
+ 216
720
+ 00:22:00,960 --> 00:22:06,460
721
+ ุงู„ุณุฌู†ุฉ ูˆู‡ูŠ ุงู„ู„ูŠ 18.6 ุตุงุฑุช 0.12 ูุจุงู„ุชุงู„ูŠ ุฎู„ุตุช ู‡ูŠ ุงู„
722
+
723
+ 217
724
+ 00:22:06,460 --> 00:22:12,300
725
+ ุฅุฐุง ุตุงุฑุช ุงู„ู…ุซู„ Probability of X less than 18
726
+
727
+ 218
728
+ 00:22:12,300 --> 00:22:18,240
729
+ .6 ู‡ุฐุง ู…ุทู„ูˆุจ ุจุงู„ู…ุณุฃู„ุฉ ุตุงุฑุช ุนุจุงุฑุฉ ุนู† ุฅูŠุด Probability
730
+
731
+ 219
732
+ 00:22:18,240 --> 00:22:26,640
733
+ of Z less than 0.12 step 3 ุนุจุงุฑุฉ ุนู† ุฅูŠุด use the z
734
+
735
+ 220
736
+ 00:22:26,640 --> 00:22:30,520
737
+ table ุงุทู„ุน ุนู„ู‰ z table z positive ูˆู„ุง negative
738
+
739
+ 221
740
+ 00:22:30,520 --> 00:22:37,720
741
+ positive positive values
742
+
743
+ 222
744
+ 00:22:37,720 --> 00:22:38,280
745
+ of z
746
+
747
+ 223
748
+ 00:23:03,850 --> 00:23:09,750
749
+ ู…ุฑุฉ ุซุงู†ูŠุฉ ู„ุฏูŠ ุซู„ุงุซ ุฎุทูˆุงุช
750
+
751
+ 224
752
+ 00:23:13,110 --> 00:23:19,150
753
+ ุจุฑุณู… ุงู„ู‡ูŠุฆุฉ ุงู„ุทุจูŠุนูŠุฉ ูŠุฌุจ ุฃู† ุชุฌุฏ ู…ุตุฏุฑ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ
754
+
755
+ 225
756
+ 00:23:19,150 --> 00:23:26,850
757
+ ู‡ูŠ 18 ูˆู‚ูŠู…ุฉ X ู‡ู†ุง ู†ุญู† ู…ู‡ุชู…ูŠู† ุจุงู„ู€ 18.6 ุงู„ุขู† 18.6
758
+
759
+ 226
760
+ 00:23:26,850 --> 00:23:31,390
761
+ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุฌุงู†ุจ ุงู„ู€ 18 ูู‡ุฐุง ู‡ูˆ X ุงู„ุฎุงุต ุจูŠ
762
+
763
+ 227
764
+ 00:23:31,390 --> 00:23:37,850
765
+ ุฎุทูˆุฉ 2 ุชุญูˆู„ X ุฅู„ู‰ Z ุจุงุณุชุฎุฏุงู… X ู†ุงู‚ุต ู…๏ฟฝ๏ฟฝูˆ ุนู„ู‰ ุณูŠุฌู…ุง
766
+
767
+ 228
768
+ 00:23:37,850 --> 00:23:42,550
769
+ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง X ูŠูƒูˆู† 18.6 ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
770
+
771
+ 229
772
+ 00:23:46,410 --> 00:23:51,970
773
+ ู…ุน ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ 18 ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
774
+
775
+ 230
776
+ 00:23:51,970 --> 00:23:56,830
777
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
778
+
779
+ 231
780
+ 00:23:56,830 --> 00:23:58,290
781
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
782
+
783
+ 232
784
+ 00:23:58,290 --> 00:23:58,810
785
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
786
+
787
+ 233
788
+ 00:23:58,810 --> 00:23:59,350
789
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
790
+
791
+ 234
792
+ 00:23:59,350 --> 00:24:02,690
793
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
794
+
795
+ 235
796
+ 00:24:02,690 --> 00:24:08,190
797
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
798
+
799
+ 236
800
+ 00:24:08,190 --> 00:24:09,370
801
+ ู…
802
+
803
+ 237
804
+ 00:24:13,070 --> 00:24:15,410
805
+ Now what does this result meanุŸ ุฅูŠุด ู…ุนู†ู‰ ุงู„ุฌูˆุงุจ
806
+
807
+ 238
808
+ 00:24:15,410 --> 00:24:19,070
809
+ ุงู„ู„ูŠ ุทู„ุนุŸ ู‡ูˆ ุจูŠุณุฃู„ ุฅูŠุด ุงู„ู€ time required to
810
+
811
+ 239
812
+ 00:24:19,070 --> 00:24:23,650
813
+ download an image from the internet if X is less
814
+
815
+ 240
816
+ 00:24:23,650 --> 00:24:26,790
817
+ than 18.6 seconds ูŠุนู†ูŠ ุฅูŠุด ุงุญุชู…ุงู„ ุชู†ุฒู„ ุดุบู„ ุนู„ู‰
818
+
819
+ 241
820
+ 00:24:26,790 --> 00:24:31,990
821
+ ุงู„ุงู†ุชุฑู†ุช ุชุฃุฎุฐ ู…ุนูƒ ุฒู…ู† ุฃู‚ู„ ู…ู† 18.6 second ุทู„ุน
822
+
823
+ 242
824
+ 00:24:31,990 --> 00:24:38,250
825
+ ุงู„ุฌูˆุงุจ 0.54 ูŠุนู†ูŠ ุชู‚ุฑูŠุจุงู‹ 54% ุงู„ูƒู„ุงู… ุฏู‡ ู…ู…ูƒู† ูŠุชุญู‚ู‚
826
+
827
+ 243
828
+ 00:24:38,250 --> 00:24:42,330
829
+ ู‡ู†ุฒู„ ุดุบู„ ุนู„ู‰ ุงู„ุงู†ุชุฑู†ุช ูˆ ุชุฃุฎุฐ ู…ุนุงู‡ 18 ุซุงู†ูŠุฉ ูˆ 6
830
+
831
+ 244
832
+ 00:24:53,750 --> 00:25:01,070
833
+ now suppose we want to find normal upper tail ุฅูŠุด
834
+
835
+ 245
836
+ 00:25:01,070 --> 00:25:08,890
837
+ upper tailุŸ ุงู„ู€ upper tail ุฅูŠุด ู…ุนู†ุงู‡ upper tailุŸ
838
+
839
+ 246
840
+ 00:25:08,890 --> 00:25:17,000
841
+ upper tail upper ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ุฃุนู„ู‰ ูˆ tail ู‡ูŠ
842
+
843
+ 247
844
+ 00:25:17,000 --> 00:25:24,400
845
+ ุนุฑุจูŠ ูˆุฅู†ุฌู„ูŠุฒูŠุฉ ูˆุงุญุฏ ุนุฑุจูŠ ูˆุฅู†ุฌู„ูŠุฒูŠุฉ ูˆุงุญุฏ tail ู…ุนุงูƒ
846
+
847
+ 248
848
+ 00:25:24,400 --> 00:25:28,880
849
+ ุฌูˆุงู„ุŸ ุญุทู‡ ุนู„ู‰ ุงู„ู€ dictionaryุŒ ุฅูŠุด ู…ุนู†ุงู‡ tailุŸ ุทุฑู
850
+
851
+ 249
852
+ 00:25:28,880 --> 00:25:34,980
853
+ ุฃูˆ ุฐูŠู„ ุทุฑู ูŠู…ูŠู†ุŒ ุทุฑู ุฃุนู„ู‰ upper tail ู…ุนู†ุงู‡ ุงู„ุทุฑู
854
+
855
+ 250
856
+ 00:25:34,980 --> 00:25:39,500
857
+ ุงู„ุฃุนู„ู‰ ูŠุนู†ูŠ ุนุงูŠุฒูŠู† ุงู„ู€ probability to the right side
858
+
859
+ 251
860
+ 00:25:39,500 --> 00:25:42,360
861
+ ูŠุนู†ูŠ ุงู„ุทุฑู ุงู„ู…ูˆุฌุจ
862
+
863
+ 252
864
+ 00:25:46,100 --> 00:25:49,000
865
+ ูŠุนู†ูŠ ุจุนุฏ ู…ุง ูƒู†ุช ุนุงูŠุฒ probability of x less than
866
+
867
+ 253
868
+ 00:25:49,000 --> 00:25:55,920
869
+ 18.6 ุนุงูŠุฒูŠู† ุงู„ู€ probability of x greater than 18.6
870
+
871
+ 254
872
+ 00:25:55,920 --> 00:26:00,240
873
+ in
874
+
875
+ 255
876
+ 00:26:00,240 --> 00:26:06,160
877
+ stead of less than 18.6 to the left side we are
878
+
879
+ 256
880
+ 00:26:06,160 --> 00:26:08,840
881
+ looking for this probability for this area or for
882
+
883
+ 257
884
+ 00:26:08,840 --> 00:26:14,100
885
+ this probability the area to the right ู…ุณุงุญุฉ
886
+
887
+ 258
888
+ 00:26:14,100 --> 00:26:26,100
889
+ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ ุงู„ู…ุณุงุญุฉ
890
+
891
+ 259
892
+ 00:26:26,100 --> 00:26:31,560
893
+ ุชุญุช ู…ู†ุญู†ู‰ ุงู„ุชูˆุฒูŠุน ุทุจุนุงู‹ ุจุณู‡ูˆู„ุฉ ูˆุงุญุฏ ุฅุฐุง ุทู„ุนุช ู‡ูŠูƒ to
894
+
895
+ 260
896
+ 00:26:31,560 --> 00:26:39,460
897
+ the left 0.5478 ุฅูŠุด ู‡ุชูƒูˆู† ุนู„ู‰ ุงู„ูŠู…ูŠู† one minus
898
+
899
+ 261
900
+ 00:26:39,460 --> 00:26:46,710
901
+ this value ู…ุด ู‡ูŠูƒ ู…ุธุจูˆุท ุฅุฐุง ุญูƒูŠุช ู„ูƒ ุงุญุชู…ุงู„ ุฅู†ูƒ ุชุฎุณุฑ
902
+
903
+ 262
904
+ 00:26:46,710 --> 00:26:51,710
905
+ ุดุบู„ุฉ ู…ุนูŠู†ุฉ ุซู„ุงุซุฉ ู…ู† ุนุดุฑุฉ ุงุญุชู…ุงู„ ุงู„ุฑุจุญ ุณุจุนุฉ
906
+
907
+ 263
908
+ 00:26:51,710 --> 00:26:57,910
909
+ ูุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† 18.6 ู‡ุฐุง ูŠุจู‚ู‰ one minus ุงุญุชู…ุงู„ X
910
+
911
+ 264
912
+ 00:26:57,910 --> 00:27:04,290
913
+ ุฃู‚ู„ ู…ู† 18.6 so always in general if we are looking
914
+
915
+ 265
916
+ 00:27:04,290 --> 00:27:08,450
917
+ for to the upper tail X greater than for example B
918
+
919
+ 266
920
+ 00:27:08,450 --> 00:27:16,450
921
+ this equals one minus X ุฃู‚ู„ ู…ู† B ุฎู„ุงุตุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุน
922
+
923
+ 267
924
+ 00:27:16,450 --> 00:27:19,750
925
+ ุจุงุญุชู…ุงู„ X ุนู„ู‰ ุงู„ูŠู…ูŠู† ุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„ ูˆุงุทุฑุญ ู…ู†ู‡ุง
926
+
927
+ 268
928
+ 00:27:19,750 --> 00:27:24,550
929
+ ูˆุงุญุฏ ูˆุงุถุญุฉ ููŠ ุฃูŠ .. ู„ูŠุด ู„ุฃ .. ู„ูŠุด ู„ุฃ ู„ุฃ ุงู„ู„ูŠ ุฃู†ุง
930
+
931
+ 269
932
+ 00:27:24,550 --> 00:27:29,210
933
+ ุจุญูƒูŠ ุงุญุชู…ุงู„ X ุฃูƒุจุฑ ู…ู† B ูˆุนุงูŠุฒ ุงู„ุดู…ุงู„ .. ุงู„ูŠู…ูŠู†
934
+
935
+ 270
936
+ 00:27:29,210 --> 00:27:34,410
937
+ ุจู‚ุฏุฑ ุฃุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„
938
+
939
+ 271
940
+ 00:27:34,410 --> 00:27:38,390
941
+ ุทุจ ุงู„ุดู…ุงู„ ุงู„ู†ุงุชุฌ ู‡ู†ุง ุงู„ู…ูƒู…ู„ ุฅูŠู‡ุŸ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ูˆุงุญุฏ
942
+
943
+ 272
944
+ 00:27:38,390 --> 00:27:42,970
945
+ ู†ุงู‚ุต ุงู„ุดู…ุงู„ ุงุญูุธูŠู‡ุง .. ูู‡ู…ูŠู‡ุง ุฒูŠ ู…ุง ุฃู†ุช ุนุงูŠุฒู‡ุง ู…ุด
946
+
947
+ 273
948
+ 00:27:42,970 --> 00:27:46,640
949
+ ู‡ู‚ุฏุฑ ุฃูˆุถุญู‡ุง ุฃูƒุซุฑ ู…ู† ู‡ู†ุง ุฎู„ุงุต ุงุญุชู…ุงู„ x ุฃูƒุจุฑ ู…ู† b
950
+
951
+ 274
952
+ 00:27:46,640 --> 00:27:52,160
953
+ ุจูŠุณุงูˆูŠ one minus d of x ุฃู‚ู„ ู…ู† b ูŠุนู†ูŠ ููŠ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ
954
+
955
+ 275
956
+ 00:27:52,160 --> 00:27:55,620
957
+ ุนู†ุฏูŠ Probability of x greater than 18.6 equals
958
+
959
+ 276
960
+ 00:27:55,620 --> 00:28:04,320
961
+ ูˆุงุญุฏ minus five four seven eight point four five
962
+
963
+ 277
964
+ 00:28:04,320 --> 00:28:11,150
965
+ two two ู„ุญุธุฉ ู„ูˆ ุฌู…ุนุช ุงู„ู‚ูŠู…ุชูŠู† ู‡ุฏูˆู„ ู„ูˆ ุฌู…ุนุช ุงู„ุงุซู†ูŠู†
966
+
967
+ 278
968
+ 00:28:11,150 --> 00:28:15,050
969
+ ุฅูŠุด ู‡ูŠุณุงูˆูŠุŸ ูˆุงุญุฏ ู„ุฃู† ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ู€ area under the
970
+
971
+ 279
972
+ 00:28:15,050 --> 00:28:18,130
973
+ normal curve equals one ุฅุฐุงู‹ ู†ุจุฏุฃ ุจุงู„ู†ุณุจุงู„ูŠ ุงู„ู€
974
+
975
+ 280
976
+ 00:28:18,130 --> 00:28:22,510
977
+ upper tail ุฅุฐุง ุนุฑูู†ุง ู…ู† ุดูˆูŠุฉ ุงู„ู€ left tail ูˆู‡ูŠ ุงู„ู€
978
+
979
+ 281
980
+ 00:28:22,510 --> 00:28:28,990
981
+ upper tailุŒ ุฅูŠุด ุจุชุนู…ู„ ุนู†ุฏู‡ุงุŸ ุงู„ู€ between finding
982
+
983
+ 282
984
+ 00:28:28,990 --> 00:28:35,850
985
+ normal probability between two values suppose
986
+
987
+ 283
988
+ 00:28:35,850 --> 00:28:42,110
989
+ X is normal with mean 18 ูˆุงู„ุตุญูŠุญุฉ ุงู„ุฎุงู…ุณุฉ ุชุฌุฏ X ุจูŠู†
990
+
991
+ 284
992
+ 00:28:42,110 --> 00:28:47,230
993
+ 18 ูˆ 18.6 ุนุงูŠุฒ ุงู„ู€ Probability between two values
994
+
995
+ 285
996
+ 00:29:17,140 --> 00:29:22,620
997
+ ู…ูŠู†ูˆ 18 ุจูŠูƒุณ
998
+
999
+ 286
1000
+ 00:29:22,620 --> 00:29:28,760
1001
+ ุฃูƒุจุฑ ู…ู† 18 ูˆุฃู‚ู„ ู…ู† 18.6 ููŠ
1002
+
1003
+ 287
1004
+ 00:29:28,760 --> 00:29:32,760
1005
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุขู†
1006
+
1007
+ 288
1008
+ 00:29:32,760 --> 00:29:39,560
1009
+ ุจุดูƒู„ ุนุงู… ุฅุฐุง ูƒุงู†ุช X ุจูŠู† ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู†
1010
+
1011
+ 289
1012
+ 00:29:39,560 --> 00:29:45,080
1013
+ ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู†
1014
+
1015
+ 290
1016
+ 00:29:45,080 --> 00:29:51,080
1017
+ ู‚ูŠู…ุชูŠู† ู‚ูŠู…ุชูŠู† 18 ูˆ 18.6 ุงู„ุขู† ุงู„ุทุงุจู‚ ู…ุฑุฉ ุฃุฎุฑู‰ ูŠุนุทูŠ
1018
+
1019
+ 291
1020
+ 00:29:51,080 --> 00:29:55,600
1021
+ ุงู„ู…ู†ุทู‚ุฉ ู„ู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑ ู„ุฐู„ูƒ ู„ูƒู…ุจูˆุช ุงู„ู…ู†ุทู‚ุฉ ุงู„ูŠุณุงุฑ
1022
+
1023
+ 292
1024
+ 00:29:55,600 --> 00:30:02,820
1025
+ ู…ุจุงุดุฑุฉ ุฃูƒุจุฑ ู…ู† 1 ู†ุงู‚ุต ุงู„ุขู† ุณุจุจูˆุฒ ู†ุญู† ู…ู‡ุชู…ูŠู†
1026
+
1027
+ 293
1028
+ 00:30:02,820 --> 00:30:07,480
1029
+ ุจุงู„ุงู†ุชุตุงุฑ ุจูŠู† ู…ุชุณุงุจู‚ูŠู† ู…ุชุณุงุจู‚ูŠู† ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุด
1030
+
1031
+ 294
1032
+ 00:30:07,480 --> 00:30:13,440
1033
+ ู‡ุชุณุงูˆูŠ ููŠ ุงู„ู†ุต ุงู„ู…ุณุงุญุฉ
1034
+
1035
+ 295
1036
+ 00:30:13,440 --> 00:30:23,780
1037
+ ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุฉ ู‡ูŠูƒ ุจุชุณุงูˆูŠ ุงู„ุฃู‚ู„ ู…ู† 18.6 ุจุงู„ุถุจุท
1038
+
1039
+ 296
1040
+ 00:30:23,780 --> 00:30:33,040
1041
+ ุงู„ุฃู‚ู„ ู…ู† 18.6 ู†ุงู‚ุต X ุฃู‚ู„ ู…ู† 18 ูŠุนู†ูŠ
1042
+
1043
+ 297
1044
+ 00:30:33,040 --> 00:30:39,160
1045
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ู„ู…ุง ุจุดุชุบู„ ุนู„ู‰ two values ุจุชุทู„ุน P of X
1046
+
1047
+ 298
1048
+ 00:30:39,160 --> 00:30:42,900
1049
+ less than ุงู„ูƒุจูŠุฑุฉ ุงู„ู„ูŠ ู‡ู†ุง ู†ุงู‚ุต P of X less than
1050
+
1051
+ 299
1052
+ 00:30:42,900 --> 00:30:45,080
1053
+ ุงู„ุตุบูŠุฑุฉ in general
1054
+
1055
+ 300
1056
+ 00:30:48,860 --> 00:30:57,500
1057
+ ู„ู€ X ุจูŠู† A ูˆB ุณูˆุงุก
1058
+
1059
+ 301
1060
+ 00:30:57,500 --> 00:31:04,200
1061
+ ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ุฑู‚ู…
1062
+
1063
+ 302
1064
+ 00:31:04,200 --> 00:31:12,360
1065
+ ูˆุงุญุฏ ุจูŠ ู…ู† X ุฃู‚ู„ ู…ู† A ู‡ุฐุง ู…ุจุงุดุฑุฉ ู…ุจุงุดุฑุฉ ุชุญู„ูŠู‡ุง ุนู„ู‰
1066
+
1067
+ 303
1068
+ 00:31:12,360 --> 00:31:14,220
1069
+ ุทูˆู„ ู„ุฃู† ุงู„ูƒู„ุจุฉ ุชุนุทูŠ ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ
1070
+
1071
+ 304
1072
+ 00:31:17,210 --> 00:31:26,850
1073
+ ุฅุฐุง ูƒุงู† X ุฃูƒุจุฑ ู…ู† B ูŠูƒูˆู† 1 ู†ุงู‚ุต ุฅู„ู‰ ุงู„ุซุงู„ุซุฉ ุฅุฐุง
1074
+
1075
+ 305
1076
+ 00:31:26,850 --> 00:31:31,010
1077
+ ูƒุงู† X ุจูŠู† A ูˆ B ุฃู‚ู„
1078
+
1079
+ 306
1080
+ 00:31:31,010 --> 00:31:34,850
1081
+ ู…ู† B ูŠูƒูˆู† 1 ู†ุงู‚ุต ุฅู„ู‰ ุงู„ุซุงู„ุซุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ูˆุงู†ูŠู†
1082
+
1083
+ 307
1084
+ 00:31:34,850 --> 00:31:42,490
1085
+ ุงู„ุซู„ุงุซุฉ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ุฅุฐุง ุฃุฑุฏุช ุงุญุชู…ุงู„ X ุจูŠู† A 18 ูˆ 18
1086
+
1087
+ 308
1088
+ 00:31:42,490 --> 00:31:48,190
1089
+ .6 ูŠุนู†ูŠ 18.6 ู†ุงู‚ุต X less than 18 ู…ุน ูƒุฏู‡ ุงู„ู…ุซุงู„ ุตุงุฑุช
1090
+
1091
+ 309
1092
+ 00:31:48,190 --> 00:31:51,990
1093
+ ู…ุซุงู„ุชูŠู† ู†ุญู„ู„ู‡ู…
1094
+
1095
+ 310
1096
+ 00:31:51,990 --> 00:31:57,050
1097
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฎู„ุงุต ูƒุงู†ูˆุง ู…ุซุงู„ุชูŠู† ู†ุญู„ู„ู‡ู… ูˆู†ุงุฎุฏ ุงู„ูุฑู‚
1098
+
1099
+ 311
1100
+ 00:31:57,050 --> 00:32:02,790
1101
+ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ ู‡ู†ุทู„ุน ุงู„ู€ z score ู„ู„ุฃูˆู„ู‰ ุฒูŠ
1102
+
1103
+ 312
1104
+ 00:32:02,790 --> 00:32:09,630
1105
+ ู…ุง ุทู„ุนู†ุงู‡ุง ู…ู† ุดูˆูŠุฉ ุงู„ู„ูŠ ุณูˆุช ู‚ุฏุงุด 12% ูˆุทู„ุน ุงู„ู€ z
1106
+
1107
+ 313
1108
+ 00:32:09,630 --> 00:32:16,090
1109
+ score ู„ู„ู…ู†ุŸ ู„ู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุทุจูŠุนูŠุฉ ู‡ุชุณุงูˆูŠ ุตูุฑ ู…ุด
1110
+
1111
+ 314
1112
+ 00:32:16,090 --> 00:32:20,910
1113
+ ุฏุงูŠู…ุงู‹ ููŠ ู‡ุฐู‡ ุงู„ู…ุณุฃู„ุฉ ุจุณ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุนุงูŠุฒ X ุฃูˆ ุนุงูŠุฒ X
1114
+
1115
+ 315
1116
+ 00:32:20,910 --> 00:32:25,670
1117
+ ุฃูƒุจุฑ ู…ู† 18 ูˆ 18 ูŠุนุจุฑ ุนู† ุงู„ู…ูŠู† ู„ูƒู† ู„ูˆ ูƒุงู†ุช ู‚ูŠู…ุฉ ุซุงู†ูŠุฉ
1118
+
1119
+ 316
1120
+ 00:32:25,670 --> 00:32:31,690
1121
+ ุจู†ุงุฎุฏู‡ุง ู†ุนู…ู„ู‡ุง ุฃูŠ 18 ุงู„ู€ X ู…ุด ู‡ูŠูƒ ู†ู†ู‚ุต ู…ู† 18 ุนู„ู‰
1122
+
1123
+ 317
1124
+ 00:32:31,690 --> 00:32:43,140
1125
+ Sigma 5 ุชุณุงูˆูŠ ุตูุฑ ุงู„ู…ุณุฃู„ุฉ ุชุญูˆู„ุช ู„ู€ z ุฃู‚ู„ ู…ู† 12 ู†ุงู‚ุต
1126
+
1127
+ 318
1128
+ 00:32:43,140 --> 00:32:51,680
1129
+ ุฃู‚ู„ ู…ู† 0 ุงู„ู€ probability
1130
+
1131
+ 319
1132
+ 00:32:51,680 --> 00:32:56,620
1133
+ of z less than 0.12 ุทู„ุนู†ุงู‡ุง ู…ู† ุดูˆูŠุฉ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ
1134
+
1135
+ 320
1136
+ 00:32:56,620 --> 00:33:03,560
1137
+ ุทู„ุน ู…ุนุงูŠุง ุทู„ุน
1138
+
1139
+ 321
1140
+ 00:33:03,560 --> 00:33:09,360
1141
+ 5478 5478
1142
+
1143
+ 322
1144
+ 00:33:09,360 --> 00:33:12,140
1145
+ P of z less than 0 ุฅูŠุด ุจุชุณุงูˆูŠุŸ
1146
+
1147
+ 323
1148
+ 00:33:15,180 --> 00:33:21,640
1149
+ ุงุญุชู…ุงู„ Z ุฃู‚ู„ ู…ู† 0 ุทุจ
1150
+
1151
+ 324
1152
+ 00:33:21,640 --> 00:33:24,980
1153
+ .. ุทุจ ุงุณู…ุน ุงุทู„ุน ุนู„ู‰ ุงู„ู€ table ุฌุงู„ ู…ู† ุงู„ุฌูˆุฉ ูŠุนู†ูŠ
1154
+
1155
+ 325
1156
+ 00:33:24,980 --> 00:33:31,760
1157
+ ู‡ุฐู‡ ุงู„ู€ zero ุฅูŠุด ุงู„ุฌูˆุฉ ุจูŠุณุงูˆูŠ ูˆู…ู† ุบูŠุฑ ุงู„ู€ table
1158
+
1159
+ 326
1160
+ 00:33:31,760 --> 00:33:38,640
1161
+ ุจุนุฑูู‡ุง ูˆู„ุง ุจุนุฑูู‡ุงุด ุจุนุฑูู‡ุง ุงู„ู€ Z ู‡ุฐู‡ ุงู„ู€ Z ุงู„ู€ mean
1162
+
1163
+ 327
1164
+ 00:33:38,640 --> 00:33:43,860
1165
+ ุจุงู„ู†ุต ุจุงู„ู€ zero ุงู„ู€ Z ุฃู‚ู„ ู…ู† Zero ู…ุณุงุญุฉ ู„ูŠู‡ ู…ุด
1166
+
1167
+ 328
1168
+ 00:33:43,860 --> 00:33:49,690
1169
+ ุจุงู„ุณุงูˆูŠุฉ ู†ุต .. ู…ู† ุบูŠุฑ ุงู„ุฌุฏูˆู„ .. ูุจุชุณุงูˆูŠ ู†ุต .. ู‡ูŠ
1170
+
1171
+ 329
1172
+ 00:33:49,690 --> 00:33:56,810
1173
+ ุงู„ุฌูˆุงุจ ู†ุฃุฎุฐ
1174
+
1175
+ 330
1176
+ 00:33:56,810 --> 00:34:05,030
1177
+ ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰ ุซู… ู†ุชูˆู‚ู .. ูุงูƒุชุดู ู…ูุฑูˆุถ X ุจูŠู† 17.4 ูˆ
1178
+
1179
+ 331
1180
+ 00:34:05,030 --> 00:34:05,390
1181
+ 18
1182
+
1183
+ 332
1184
+ 00:34:16,340 --> 00:34:25,020
1185
+ ุจุฏูŠ ุญุฏ ูŠุญู„ู‡ุง ูŠุง ุฏูŠุงุฌูŠ ูˆุงุญุฏุฉ ุชุชูุถู„ ุชุญู„ู‡ุง X between
1186
+
1187
+ 333
1188
+ 00:34:25,020 --> 00:34:34,300
1189
+ 17.4 and 18 ุฃู†ุช
1190
+
1191
+ 334
1192
+ 00:34:34,300 --> 00:34:38,600
1193
+ ู„ุฃู† ู…ุนุงูƒ ุฎู…ูŠุณ ูˆุฌู…ุนุฉุŒ ู…ุธุจูˆุทุŸ ุญุงูˆู„ุŒ ููŠ ุฃุซุฑ ุนู„ู‰
1194
+
1195
+ 335
1196
+ 00:34:38,600 --> 00:34:42,620
1197
+ ุงู„ู…ูˆุถูˆุน ููŠ ุงู„ู€ practice ุชุจุน chapter 6 ุญู„ ุงู„ุฃุซุฑ ุงู„ู„ูŠ
1198
+
1199
+ 336
1200
+ 00:34:42,620 --> 00:34:43,840
1201
+ .. ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุงู„ู…ูˆุถูˆุน ู‡ุฐุง
1202
+
1203
+ 337
1204
+ 00:34:48,530 --> 00:35:03,630
1205
+ ู‡ู„ู‚ูŠุชู‡ุง ู‡ู†ุนุชู…ุฏ ุฏู„ูˆู‚ุช ุนู„ู‰ ู‡ุฐุง ุงู„ุดูŠุก ุฅุฐุง
1206
+
1207
+ 338
1208
+ 00:35:03,630 --> 00:35:08,470
1209
+ ูุตู„ุฉ ุงู„ุงุซู†ูŠู† ูˆุงุญุฏุฉ ุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† ุงู„ุซู…ุงู†ูŠุฉ ุนุดุฑ
1210
+
1211
+ 339
1212
+ 00:35:08,470 --> 00:35:11,110
1213
+ ุงู„ูƒุจูŠุฑุฉ ู†ุงู‚ุต ุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† ุงู„ุตุบูŠุฑุฉ ูˆุงุถุญ ุงู„ุฎุทูˆุฉ
1214
+
1215
+ 340
1216
+ 00:35:11,110 --> 00:35:14,550
1217
+ ุงู„ุฃูˆู„ู‰ุŸ ู‡ู„ู‚ูŠุชู‡ุง ู‡ู†ุญูˆู„ ุงู„ู€ X ู„ู€ z
1218
+
1219
+ 341
1220
+ 00:35:26,280 --> 00:35:33,900
1221
+ ู…ุง ู‡ูŠ 18 ูŠุนู†ูŠ ุนุฏ X ุจ 18 ู…ูŠูˆ ุจ 18 ุณูŠุฌู…ุง ุฎู…ุณุฉ
1222
+
1223
+ 342
1224
+ 00:35:33,900 --> 00:35:38,100
1225
+ ุงู„ู„ูŠ
1226
+
1227
+ 343
1228
+ 00:35:38,100 --> 00:35:42,340
1229
+ ุจุนุฏู‡ุง
1230
+
1231
+ 344
1232
+ 00:35:42,340 --> 00:35:51,760
1233
+ negative
1234
+
1235
+ 345
1236
+ 00:35:51,760 --> 00:35:52,620
1237
+ point twelve
1238
+
1239
+ 346
1240
+ 00:36:15,490 --> 00:36:19,730
1241
+ ูƒูˆูŠุณ ุฅุฐุง ุงู†ุตุงุฑ ุงุญุชู…ุงู„ z ุฃู‚ู„ ู…ู† zero ู†ุงู‚ุต ุงุญุชู…ุงู„ z
1242
+
1243
+ 347
1244
+ 00:36:19,730 --> 00:36:24,890
1245
+ ุฃู‚ู„ ู…ู† negative point twelve ูŠุณุงูˆูŠ z ุฃู‚ู„ ู…ู† zero
1246
+
1247
+ 348
1248
+ 00:36:24,890 --> 00:36:33,000
1249
+ ุดูˆูู†ุง ู…ุด minus ู†ุงู‚ุต ู‡ุฐู‡ ุงู„ schedule ู‡ุฐู‡
1250
+
1251
+ 349
1252
+ 00:36:33,000 --> 00:36:42,520
1253
+ ุงู„ู€ negative four
1254
+
1255
+ 350
1256
+ 00:36:42,520 --> 00:36:51,480
1257
+ five five two ุงุซู†ูŠู†
1258
+
1259
+ 351
1260
+ 00:36:51,480 --> 00:36:57,800
1261
+ ุงุซู†ูŠู† ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุณุจุนุฉ ุซู…ุงู†ูŠุฉ
1262
+
1263
+ 352
1264
+ 00:37:06,620 --> 00:37:11,640
1265
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1266
+
1267
+ 353
1268
+ 00:37:11,640 --> 00:37:11,860
1269
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1270
+
1271
+ 354
1272
+ 00:37:11,860 --> 00:37:12,580
1273
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1274
+
1275
+ 355
1276
+ 00:37:12,580 --> 00:37:16,520
1277
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1278
+
1279
+ 356
1280
+ 00:37:16,520 --> 00:37:18,320
1281
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1282
+
1283
+ 357
1284
+ 00:37:18,320 --> 00:37:19,600
1285
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1286
+
1287
+ 358
1288
+ 00:37:19,600 --> 00:37:26,400
1289
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1290
+
1291
+ 359
1292
+ 00:37:26,400 --> 00:37:30,110
1293
+ ู…ุด ู…ุด ู…ุด ุชุญูˆู„ุช ู„ู€ z ุจูŠู† zero ูˆ negative
1294
+
1295
+ 360
1296
+ 00:37:30,110 --> 00:37:37,290
1297
+ point twelve ุงุญุชู…ุงู„ z ุฃู‚ู„ ู…ู† zero one half ูˆู‡ุฐุง
1298
+
1299
+ 361
1300
+ 00:37:37,290 --> 00:37:43,950
1301
+ ุทู„ุน ู…ู† ุฃูŠู†ุŸ ู…ู† ุงู„ุฌุฏูˆู„ ุทู„ุน ุงู„ุฌูˆุงุจ ู‡ูŠูƒ ุงู„ู„ูŠ ุฃู†ุง ูˆ
1302
+
1303
+ 362
1304
+ 00:37:43,950 --> 00:37:47,450
1305
+ ุฃู†ุง ู…ุง ุฃุนุทูŠุชูƒุด ุงู„ู€ .. ุงู„ู€ negative table ุงู„ุฌุฏูˆู„ ุชุจุน
1306
+
1307
+ 363
1308
+ 00:37:47,450 --> 00:37:52,710
1309
+ ุงู„ู€ negative z values ู„ูˆ ุจุณ ุงู„ู…ูˆุฌุจ ู„ุญุธุฉ .. ุงู„ู…ุณุฃู„ุฉ
1310
+
1311
+ 364
1312
+ 00:37:52,710 --> 00:37:56,330
1313
+ ุงู„ู„ูŠ ูุงุชุช ุงู„ู…ุณุฃู„ุฉ
1314
+
1315
+ 365
1316
+ 00:37:56,330 --> 00:38:06,410
1317
+ ุงู„ู„ูŠ ูุงุชุช ู„ูˆ ูƒู†ุง ุจู†ุฏูˆุฑ ุนู„ู‰ z ุจ 12 ูƒุงู†ุช ุฅูŠู‡ ุงู„ู„ูŠ
1318
+
1319
+ 366
1320
+ 00:38:06,410 --> 00:38:12,390
1321
+ ุดู…ุงู„ู‡ุง ุจุชุณุงูˆูŠ ููŠ ุฃูˆู„ example ููŠ ุงู„ู€ example ุงู„ุฃูˆู„
1322
+
1323
+ 367
1324
+ 00:38:12,390 --> 00:38:22,210
1325
+ ุฃูˆู„ ูˆุงุญุฏ ุฅูŠุด ุณูˆุช five four seven eight ู…ุธุจูˆุท ู‡ุฐุง ููŠ
1326
+
1327
+ 368
1328
+ 00:38:22,210 --> 00:38:27,650
1329
+ ุงู„ู†ุต five four seven eight ู…ุธุจูˆุท
1330
+
1331
+ 369
1332
+ 00:38:33,220 --> 00:38:39,780
1333
+ 5478 ู…ุธุจูˆุท ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง 5478.112
1334
+
1335
+ 370
1336
+ 00:38:39,780 --> 00:38:48,320
1337
+ 5478 ุงู„ู„ูŠ ุฃู†ุง ู…ุด ุนุงูŠุฒู‡ Z less than negative 12
1338
+
1339
+ 371
1340
+ 00:38:48,320 --> 00:38:54,380
1341
+ ุงู„ุขู†
1342
+
1343
+ 372
1344
+ 00:38:54,380 --> 00:39:00,170
1345
+ to the left of Z 0.12 0.5478 ุทูŠุจ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุฅูŠุด
1346
+
1347
+ 373
1348
+ 00:39:00,170 --> 00:39:04,110
1349
+ ู‡ุชุณุงูˆูŠุŸ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ .. ู‡ุฐู‡
1350
+
1351
+ 374
1352
+ 00:39:04,110 --> 00:39:10,530
1353
+ ุงู„ุจูŠุถุฉ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ุฑู‚ู…ุŒ ู…ุธุจูˆุทุŸ ู…ุฑุฉ ุซุงู†ูŠุฉ ุงุญุชู…ุงู„ ุฒูŠ
1354
+
1355
+ 375
1356
+ 00:39:10,530 --> 00:39:12,870
1357
+ ุงู„ุฃู‚ู„ ู…ู† ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุฌูˆุงุจ ุฎู…ุณุฉุŒ ุฃุฑุจุนุฉุŒ ุณุจุนุฉุŒ
1358
+
1359
+ 376
1360
+ 00:39:12,870 --> 00:39:17,870
1361
+ ุซู…ุงู†ูŠุฉุŒ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆุงุญุฏ ู†ุงู‚ุตุŒ ุงู„ู„ูŠ ุจุชุณุง๏ฟฝ๏ฟฝูŠ ู‚ุฏุงุดุŸ
1362
+
1363
+ 377
1364
+ 00:39:17,870 --> 00:39:22,010
1365
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงุซู†ูŠู†ุŒ ุงุซู†ูŠู†ุŒ ู…ุด ู‡ูŠูƒุŸ ูŠุนู†ูŠ ุงุทู„ุนูˆุง
1366
+
1367
+ 378
1368
+ 00:39:22,010 --> 00:39:24,010
1369
+ ุงุญุชู…ุงู„ ุฒูŠ ุฃูƒุจุฑ ู…ู† twelve
1370
+
1371
+ 379
1372
+ 00:39:29,050 --> 00:39:35,050
1373
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงุซู†ูŠู†ุŒ ุงุซู†ูŠู†ุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ุฐุง ุงู„ุฃูƒุจุฑ ู…ู†
1374
+
1375
+ 380
1376
+ 00:39:35,050 --> 00:39:42,590
1377
+ point twelve ุทุจ ุฅูŠุด ุงู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ู…ุŸ
1378
+
1379
+ 381
1380
+ 00:39:42,590 --> 00:39:46,910
1381
+ ุจุงู„ุถุจุท ู„ู…ุง
1382
+
1383
+ 382
1384
+ 00:39:46,910 --> 00:39:52,410
1385
+ ูŠูƒูˆู† ุฏูŠ point twelve ูˆู‡ูŠ ุงู„ู€ area point fourุŒ five,
1386
+
1387
+ 383
1388
+ 00:39:52,510 --> 00:39:56,790
1389
+ two, two ูˆู‡ุฐู‡ negative point twelveุŒ ู‡ุฐูˆู„ ุงุซู†ุชูŠู†
1390
+
1391
+ 384
1392
+ 00:39:56,790 --> 00:40:02,320
1393
+ ู…ุงู„ู‡ู…ุŸ ุฒูŠ ู„ูŠุด ุฒูŠ ุจุนุถ because of symmetric
1394
+
1395
+ 385
1396
+ 00:40:02,320 --> 00:40:07,720
1397
+ distribution ู†ูุณ
1398
+
1399
+ 386
1400
+ 00:40:07,720 --> 00:40:11,040
1401
+ ุงู„ู‚ูŠู…ุฉ ุจุณ ูˆุงุญุฏุฉ positive ูˆุงุญุฏุฉ negative ูู‚ู„ุช ู„ูƒ ุงู„ู€
1402
+
1403
+ 387
1404
+ 00:40:11,040 --> 00:40:16,180
1405
+ area to the left of negative ุฃูƒูŠุฏ ุฒูŠ ุงู„ู„ูŠ ูุงุชุช ู…ู†
1406
+
1407
+ 388
1408
+ 00:40:16,180 --> 00:40:22,500
1409
+ ู‡ู†ุง ุจุทู„ุน ุงู„ู€ table ุฃูˆุฑูŠูƒูŠ yet ูƒู…ุงู† example ุดูˆู
1410
+
1411
+ 389
1412
+ 00:40:22,500 --> 00:40:25,040
1413
+ ุฃู†ุช ุดุทูˆุฑู‡ ููŠู‡ ุฎู„ุตู†ุง ุงู„ูˆุงุฌุจุงุช ุจุณ
1414
+
1415
+ 390
1416
+ 00:40:27,450 --> 00:40:34,230
1417
+ ุฅู„ุง ู„ูˆ .. ู„ูˆ ูˆุงุญุฏุฉ ุซุงู†ูŠุฉ ุงู„ู€
1418
+
1419
+ 391
1420
+ 00:40:34,230 --> 00:40:41,550
1421
+ list ุฏู‡ negative 2.5 ู…ู† ุบูŠุฑ ุฌุฏูˆู„ุฉ ู„ูˆ ุทู„ุนุช ุนู„ู‰ 2.5
1422
+
1423
+ 392
1424
+ 00:40:41,550 --> 00:40:47,330
1425
+ ู‡ุฐู‡
1426
+
1427
+ 393
1428
+ 00:40:47,330 --> 00:40:55,630
1429
+ 2.5 ุงู„ู…ุณุงุญุฉ ุฏู‡ left ุฅูŠุด ุณูˆุช 9938
1430
+
1431
+ 394
1432
+ 00:40:55,630 --> 00:41:03,330
1433
+ ู…ุธุจูˆุท ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ู‡ูŠ 9 9 3 8 ุฅูŠุด ููŠ ุงู„ู€
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/QnlzuFKkbgU_postprocess.srt ADDED
@@ -0,0 +1,1624 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,820 --> 00:00:25,160
3
+ ุจุงุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ูƒู…ู„
4
+
5
+ 2
6
+ 00:00:25,160 --> 00:00:35,700
7
+ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุฏุณุฉ ุนุฑุถ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุณุฃุจุฏุฃ ุจูƒูŠู ูŠู…ูƒู†ู†ุง
8
+
9
+ 3
10
+ 00:00:35,700 --> 00:00:40,420
11
+ ุงุณุชุฎุฏุงู… ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ู…ู‚ุนุฏ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ
12
+
13
+ 4
14
+ 00:00:40,420 --> 00:00:48,880
15
+ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ
16
+
17
+ 5
18
+ 00:00:56,140 --> 00:01:04,080
19
+ ุงู„ุณุคุงู„ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฎุทูŠุท ู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช ุฅุฐุง ูƒุงู†ุช
20
+
21
+ 6
22
+ 00:01:04,080 --> 00:01:12,420
23
+ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูƒูŠู ู…ู…ูƒู† ู†ุญุณุจ ุงู„ูˆุงู‚ุนุงุช ููŠ ุงู„ุจูŠุงู†ุงุช
24
+
25
+ 7
26
+ 00:01:12,420 --> 00:01:18,940
27
+ ุงู„ูˆุงู‚ุนุงุช ูŠุนู†ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงุญุชู…ุงู„ ู…ุนู†ุงู‡ ููŠ ุงู„ุญุตุฉ ุงู†
28
+
29
+ 8
30
+ 00:01:18,940 --> 00:01:21,200
31
+ ุงู„ู…ู†ุทู‚ุฉ ุชุญุช ุงู„ู…ุฎุทุท
32
+
33
+ 9
34
+ 00:01:23,840 --> 00:01:27,980
35
+ we are going to use the standardized normal table
36
+
37
+ 10
38
+ 00:01:27,980 --> 00:01:31,320
39
+ it's located at the end of your book ู„ูˆ ุทู„ุนุช ุนู„ู‰
40
+
41
+ 11
42
+ 00:01:31,320 --> 00:01:41,180
43
+ ุงู„ูƒุชุงุจ ููŠ ุงู„ุขุฎุฑ ููŠ ุนู†ุฏู†ุง table ุฃูˆุฑูŠูƒูŠุง ููŠ ุงู„ุขุฎุฑ
44
+
45
+ 12
46
+ 00:01:41,180 --> 00:01:42,940
47
+ ุฎุงู„ุต ูŠุนู†ูŠ ููŠ tables
48
+
49
+ 13
50
+ 00:01:50,580 --> 00:01:53,740
51
+ ูŠุงุฑูŠุช ุงู„ูƒู„ ูŠูุชุญ ุนู„ู‰ ุงู„ุชุงุจุฑ ููŠ ู†ู‡ุงูŠุฉ ุงู„ูƒุชุงุจุŒ ุฃูŠ
52
+
53
+ 14
54
+ 00:01:53,740 --> 00:01:59,600
55
+ ุตูุญุฉ ุจุฏูˆุฑ ุนู„ูŠู‡ุŸ ู…ูŠุชูŠู† ุชุณุนุฉ ูˆ ุณุจุนูŠู† ู…ูŠุชูŠู† ุชุณุนุฉ ูˆ
56
+
57
+ 15
58
+ 00:01:59,600 --> 00:02:12,900
59
+ ุณุจุนูŠู† ุฅุฐุง
60
+
61
+ 16
62
+ 00:02:12,900 --> 00:02:14,100
63
+ ู‡ูŠ ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูƒ
64
+
65
+ 17
66
+ 00:02:22,470 --> 00:02:27,630
67
+ ุฎู„ุงุต ุงู„ูƒู„ ูุงุชุญ ุนุงู… 1979 this
68
+
69
+ 18
70
+ 00:02:27,630 --> 00:02:32,830
71
+ table gives the area to the left of z ุจูŠุนุทูŠ ุฏุง
72
+
73
+ 19
74
+ 00:02:32,830 --> 00:02:41,770
75
+ ุงู„ู…ุณุงุญุฉ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงุฐุง ุงู„ table provides the
76
+
77
+ 20
78
+ 00:02:41,770 --> 00:02:47,270
79
+ probability to
80
+
81
+ 21
82
+ 00:02:47,270 --> 00:02:55,780
83
+ the left of z valueุงู„ุฃู† ู…ุงุฐุง ูŠุนู†ูŠ ู‚ูŠู…ุฉ zุŸ ูŠุนู†ูŠ ุฅุฐุง
84
+
85
+ 22
86
+ 00:02:55,780 --> 00:03:02,320
87
+ ูƒุงู† ู„ุฏูŠู†ุง x ู…ุณุชุนู…ู„ ุจุดูƒู„
88
+
89
+ 23
90
+ 00:03:02,320 --> 00:03:06,760
91
+ ุนุงู… ุจู…ุนู†ู‰
92
+
93
+ 24
94
+ 00:03:06,760 --> 00:03:19,060
95
+ ู…ูŠูˆ ูˆู…ุนู†ู‰ ุณูŠุฌู…ุง ุซู…
96
+
97
+ 25
98
+ 00:03:19,060 --> 00:03:25,670
99
+ ูƒูŠู ู†ุฌุฏ zุŸX ุนุงู…ุฉ ูŠุนู†ูŠ ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู†
100
+
101
+ 26
102
+ 00:03:25,670 --> 00:03:28,390
103
+ ู…ูŠูˆู† ู…ูŠูˆู† ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
104
+
105
+ 27
106
+ 00:03:28,390 --> 00:03:34,250
107
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
108
+
109
+ 28
110
+ 00:03:34,250 --> 00:03:34,290
111
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
112
+
113
+ 29
114
+ 00:03:34,290 --> 00:03:34,350
115
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
116
+
117
+ 30
118
+ 00:03:34,350 --> 00:03:36,010
119
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
120
+
121
+ 31
122
+ 00:03:36,010 --> 00:03:50,770
123
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…
124
+
125
+ 32
126
+ 00:03:51,790 --> 00:03:54,930
127
+ ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุงู„ุทุงุจู‚ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ูŠู…ู†ุญ ุงู„ู…ู†ุทู‚ุฉ ุฃูˆ
128
+
129
+ 33
130
+ 00:03:54,930 --> 00:04:01,050
131
+ ูŠู…ู†ุญ ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† ุงู„ู€ z-score ุฅุฐุง ูƒู†ุง
132
+
133
+ 34
134
+ 00:04:01,050 --> 00:04:07,910
135
+ ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ุทุงุจู‚ุŒ ุงู„ุทุงุจู‚ ูŠุจุฏุฃ ุจู€-3.4 ุซู… ู†ุญู†
136
+
137
+ 35
138
+ 00:04:07,910 --> 00:04:12,270
139
+ ู„ุฏูŠู†ุง ู†ู‚ู„ 3.3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒุŒ ู„ุฐู„ูƒ ู„ู„ุฑู‚ู…ูŠู†ุŒ ู„ุฏูŠู†ุง z
140
+
141
+ 36
142
+ 00:04:12,270 --> 00:04:18,670
143
+ -score ู„ู…ูƒุงู†ูŠู† ู…ุญุฏุฏุฉ ูˆุงุญุฏุฉ ุจุณ ู„ุนู„ุงู…ุฉ ุนุดุฑูŠุฉ ูˆุงุญุฏุฉุŒ
144
+
145
+ 37
146
+ 00:04:18,670 --> 00:04:25,630
147
+ ุชู„ุงุญุธุŸ negative 3.4-3.3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ูˆุงุถุญ ุฃู†ู†ุง ู†ุฃุฎุฐ
148
+
149
+ 38
150
+ 00:04:25,630 --> 00:04:28,830
151
+ ุนู„ุงู…ุฉ ุนุดุฑูŠุฉ ูˆุงุญุฏุฉ ููŠู† ุงู„ู€ second decimal places
152
+
153
+ 39
154
+ 00:04:28,830 --> 00:04:33,750
155
+ ู…ูˆุฌูˆุฏุฉ ูˆูŠู† ููŠ ุงู„ columns ู‡ุงูŠ ุงู„ columns ุจุชู…ุซู„ ุงู„
156
+
157
+ 40
158
+ 00:04:33,750 --> 00:04:36,650
159
+ second decimal places ุงู„ุนู„ุงู…ุฉ ุงู„ุนุดุฑูŠุฉ ุงู„ุชุงู†ูŠุฉ ููŠ
160
+
161
+ 41
162
+ 00:04:36,650 --> 00:04:43,370
163
+ ุงู„ุนู…ุฏุฉ ูŠุนู†ูŠ ู„ูˆ .. ู„ูˆ ุนุงูŠุฒ ุงู„ probability of z less
164
+
165
+ 42
166
+ 00:04:43,370 --> 00:04:45,470
167
+ than negative 3.3
168
+
169
+ 43
170
+ 00:04:48,020 --> 00:04:51,480
171
+ ุงู„ุงู† ู„ุฏูŠู†ุง ู…ู‚ุงุฑู†ุฉ ุฒูŠ ุฐู„ูƒ ุจุงู„ูุนู„ ู„ุฐู„ูƒ ุงู‚ูˆู… ุจุงู‚ูŠู…ุฉ
172
+
173
+ 44
174
+ 00:04:51,480 --> 00:04:57,100
175
+ ุงู„ู€-3.3 ู‡ุฐุง ู‡ูˆ ุงู„ู€-3.3 ุงู„ุขู† ู…ุงู‡ูˆ ุงู„ู…ูƒุงู† ุงู„ุซุงู†ูŠ
176
+
177
+ 45
178
+ 00:04:57,100 --> 00:05:04,220
179
+ ุจุงู„ู…ู‚ุงุฑู†ุฉุŸ ู„ู…ุง ุจุญูƒูŠ negative 3.3 ู…ุด ู…ู…ูƒู† ุงูƒุชุจ
180
+
181
+ 46
182
+ 00:05:04,220 --> 00:05:08,720
183
+ ุจู‡ุงูŠูƒ negative 3.30 ู…ุน ูƒุฏู‡ ุงู„ second ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ
184
+
185
+ 47
186
+ 00:05:08,720 --> 00:05:15,910
187
+ ุงู„ decimal ุนุจุงุฑุฉ ุนู† ุฒูŠุฑูˆ ู…ุธุจูˆุท ู„ู…ุง ุจูƒุชุจ ู†ู‚ุต 3.3ู…ุด
188
+
189
+ 48
190
+ 00:05:15,910 --> 00:05:21,830
191
+ ู…ู…ูƒู† ุงูƒุชุจู‡ ู†ุงู‚ุต 3.30ุŸ ูŠุนู†ูŠ ู†ุงู‚ุต 3.3 ู…ุนู†ุงู‡ ู†ุงู‚ุต 3
192
+
193
+ 49
194
+ 00:05:21,830 --> 00:05:32,530
195
+ .30 now what's the value under negative 3.3ุŸ
196
+
197
+ 50
198
+ 00:05:32,530 --> 00:05:38,030
199
+ ุทู„ุน ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ุนุงูƒ ุงูุชุญ ุงู„ุฌุฏูˆู„ ููŠ ุงู„ุขุฎุฑ ููŠ ูƒุชุงุจ
200
+
201
+ 51
202
+ 00:05:38,030 --> 00:05:42,830
203
+ ููŠ table ุทู„ุน ุนู„ูŠู‡ ู†ุงู‚ุต 3.3 ูƒุฏู‡ ุชุญุช ุงู„ุตูุฑุŸ
204
+
205
+ 52
206
+ 00:05:45,580 --> 00:05:52,240
207
+ 0,0,5ุŒ 3,0,5 ุดูุชูˆุง
208
+
209
+ 53
210
+ 00:05:52,240 --> 00:05:55,380
211
+ ุงู„ุฎู…ุณุฉ ู„ุชุงุฆู„ ู…ู‚ุงุจู„ ุชู„ุงุชุฉ point ุชู„ุงุชุฉ ุชุญุช ุงู„ zero
212
+
213
+ 54
214
+ 00:05:55,380 --> 00:06:01,640
215
+ ุทุจ ู„ูˆ ู…ุด ุนุงูŠุฒ ุชู„ุงุชุฉ point ุชู„ุงุชุฉ negative three
216
+
217
+ 55
218
+ 00:06:01,640 --> 00:06:06,400
219
+ point three six one decimal place three point
220
+
221
+ 56
222
+ 00:06:06,400 --> 00:06:12,420
223
+ three ู‡ูŠ ูˆ ุงู†ุง ู‡ู…ุดูŠ second decimal ุณุชุฉ ุจู…ุดูŠ ุนู„ู‰ ุงู„
224
+
225
+ 57
226
+ 00:06:12,420 --> 00:06:12,680
227
+ six
228
+
229
+ 58
230
+ 00:06:15,990 --> 00:06:25,630
231
+ ู„ูŠู‡ ู‡ุฐุง ู…ุธุจูˆุทุŸ ุฅูŠุด ุงู„ุฌูˆุงุจ ุจุชุทู„ุนุŸ ู…ุนุงูƒ
232
+
233
+ 59
234
+ 00:06:25,630 --> 00:06:33,350
235
+ ูƒุชุงุจูƒ ู…ุธุจูˆุทุŸ ุทู„ุน ุงู„ูƒุชุงุจ 0.0004
236
+
237
+ 60
238
+ 00:06:33,350 --> 00:06:43,850
239
+ Z less than negative 2.43 ุทู„ุน
240
+
241
+ 61
242
+ 00:06:43,850 --> 00:06:52,150
243
+ ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ุนุงูƒ-2.4 ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
244
+
245
+ 62
246
+ 00:06:52,150 --> 00:06:57,870
247
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
248
+
249
+ 63
250
+ 00:06:57,870 --> 00:07:01,410
251
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
252
+
253
+ 64
254
+ 00:07:01,410 --> 00:07:01,430
255
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
256
+
257
+ 65
258
+ 00:07:01,430 --> 00:07:01,450
259
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
260
+
261
+ 66
262
+ 00:07:01,450 --> 00:07:01,550
263
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
264
+
265
+ 67
266
+ 00:07:15,540 --> 00:07:22,600
267
+ ูˆุงุตู„ ู„ุบุงูŠุฉ ูˆูŠู†ุŸ zero ุงู„ุงู†
268
+
269
+ 68
270
+ 00:07:22,600 --> 00:07:28,920
271
+ ุนู†ุฏ ุงู„ zero ุฅูŠุด ุงู„ุฌูˆุงุจ ู…ูˆุฌูˆุฏุŸ
272
+
273
+ 69
274
+ 00:07:28,920 --> 00:07:32,460
275
+ ุทู„ุน .. ุจุงู„ู„ู‡ ุทู„ุน ุฌูŠุจ ุณูŠูƒ ููŠ ุงู„ุดุงุดุฉ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุนุงูƒ
276
+
277
+ 70
278
+ 00:07:32,460 --> 00:07:39,500
279
+ ุงู„ูƒุชุงุจ ุงู„ zero ุชุญุช ุงู„ zero ุฒูŠ ุฃู‚ู„ ู…ู† zero ุฅูŠุด
280
+
281
+ 71
282
+ 00:07:39,500 --> 00:07:43,320
283
+ ุจุชุณูˆูŠุŸ point five ู…ุด ู‡ูŠูƒุŸ
284
+
285
+ 72
286
+ 00:07:47,000 --> 00:07:58,160
287
+ ู‡ู„ ู‡ุฐุง ุงู„ุฅุฌุงุจุฉ ู…ู†ุทู‚ูŠ ุจุงู„ู†ุณุจุงู„ูƒุŸ ู„ุฃ ุฃุญุณู† ู„ุฃู†
288
+
289
+ 73
290
+ 00:07:58,160 --> 00:08:04,160
291
+ ู‡ุงูŠ ุงู„ู€ zero ุงู„ Z ู„ู‡ normal with mean zero ู…ุด ู‡ูŠูƒุŸ
292
+
293
+ 74
294
+ 00:08:04,160 --> 00:08:08,700
295
+ ุญูƒูŠู†ุงู‡ุง ู…ุฑุฉ ูุงุชุฑุฉ Z score ู„ู‡ mean equal zero sigma
296
+
297
+ 75
298
+ 00:08:08,700 --> 00:08:13,780
299
+ one ู…ุธู„ูˆูƒุŸุงู„ู„ูŠ ู„ู…ุง ุจุญูƒูŠ ุงุญุชู…ุงู„ุฒ ู‡ูŠ ุงู‚ู„ ู…ู† zero
300
+
301
+ 76
302
+ 00:08:13,780 --> 00:08:18,220
303
+ ุงู„ู…ุณุงุญุฉ ุฏูŠ ูƒู„ู‡ุง ุงู„ area ูƒู„ู‡ุง ุฅูŠุด ุจุชุณุงูˆูŠ ุฃุญูƒูŠู‡ุง
304
+
305
+ 77
306
+ 00:08:18,220 --> 00:08:20,700
307
+ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ ุงู„ area underneath the normal curve
308
+
309
+ 78
310
+ 00:08:20,700 --> 00:08:27,860
311
+ equals one ุฅุฐุง ูƒู„ู‡ุง ูˆุงุญุฏ ูˆ ู‡ุฐุง ุงู„ mean ูˆ ู‡ุฐุง ุงู„
312
+
313
+ 79
314
+ 00:08:27,860 --> 00:08:33,320
315
+ mean ููŠ ุงู„ู†ุต ูˆ ูƒู„ู‡ุง ูˆุงุญุฏ ู†ุต ู†ุต ูุจุงู„ุชุงู„ูŠ ุงู†ุง one
316
+
317
+ 80
318
+ 00:08:33,320 --> 00:08:38,380
319
+ half ูˆ ู‡ุฐู‡ one half ูุจุงู„ุชุงู„ูŠ ู„ู…ุง ูŠุทู„ุน ู†ุต ุฃูƒูŠุฏ ูŠุฌูŠุจ
320
+
321
+ 81
322
+ 00:08:38,380 --> 00:08:45,960
323
+ ุตุญ ู†ุดู†ุช ูู„ุณูุฉ ูƒุชูŠุฑุฃูŠู‡ ุงู„ุตูุฑ ุจุตูุฑ ู†ุตู ูุงู„ table
324
+
325
+ 82
326
+ 00:08:45,960 --> 00:08:50,200
327
+ ุงู„ู„ูŠ ุนู†ุฏูƒ ุชุจุน ุงู„ negative z ุงู„ probabilities ู…ู†
328
+
329
+ 83
330
+ 00:08:50,200 --> 00:08:59,380
331
+ zero ู„ุบุงูŠุฉ ู†ุต ู…ู†ุทู‚ูŠุงูƒ ุงู„ุตูุญู‡ ุงู„ุชุงู†ูŠุฉ ุจูŠุจุฏุฃ
332
+
333
+ 84
334
+ 00:08:59,380 --> 00:09:05,620
335
+ ู…ู† ูˆูŠู† ู…ู† zero ุทูŠุจ ุจูŠุงุฎุฏ ูŠุนู†ูŠ ุงู„ positive z scores
336
+
337
+ 85
338
+ 00:09:05,620 --> 00:09:09,100
339
+ ุทุจ ุฎุฏ ู…ุน ุงู„ positive ุงุนุทูŠูƒูŠ ุดูˆูŠุฉ ุฃู…ุซู„ุฉ
340
+
341
+ 86
342
+ 00:09:11,960 --> 00:09:19,160
343
+ ู„ูˆ ุนุงูŠุฒ ุงุญุชู…ุงู„ Z ุฃู‚ู„ ู…ู† 1.56 ุจุฏูŠ
344
+
345
+ 87
346
+ 00:09:19,160 --> 00:09:23,460
347
+ ูˆุงุญุฏุฉ ุชุทู„ุน ูˆ ุชูˆุฑูŠู†ูŠู‡ุง ุนู„ู‰ ุงู„ุดุงุดุฉ ูˆุงุญุฏุฉ ุชุทู„ุน ูˆ
348
+
349
+ 88
350
+ 00:09:23,460 --> 00:09:27,020
351
+ ุชูˆุฑูŠู†ูŠู‡ุง ุนู„ู‰ ุงู„ุดุงุดุฉ ุจุฏูŠ ุฃุจุทู„ ุฃุดุฑุญ ุงู„ุฏู‚ุงุก ู‡ุฐุง ูˆ
352
+
353
+ 89
354
+ 00:09:27,020 --> 00:09:32,560
355
+ ุงู„ุฅุฌุงุจุฉ ุฎู„ูŠูƒู… ุฃุบู„ุจูƒู… ูˆ ุฃู†ุชู… ุชุดุฑุญูˆุง ู…ุงููŠ ูƒู„ุงู… ุชุงู†ูŠ
356
+
357
+ 90
358
+ 00:09:32,560 --> 00:09:33,400
359
+ ู‡ู†ุง ุฎุฏูŠ ู‡ุฐุง
360
+
361
+ 91
362
+ 00:09:54,620 --> 00:09:57,820
363
+ ุฎู„ุงุต ุงูƒุชุจ ุงู„ุฌูˆุงุจ ู‡ู†ุง ุงูƒุชุจ ุงู„ุฌูˆุงุจ
364
+
365
+ 92
366
+ 00:10:13,230 --> 00:10:26,690
367
+ -1.5 ุชุญุช ุงู„ 6 9406 ุจุณ ููŠู‡ ุงู„ point ุจุณ ุจุณ
368
+
369
+ 93
370
+ 00:10:26,690 --> 00:10:26,930
371
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
372
+
373
+ 94
374
+ 00:10:26,930 --> 00:10:27,470
375
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
376
+
377
+ 95
378
+ 00:10:27,470 --> 00:10:27,550
379
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
380
+
381
+ 96
382
+ 00:10:27,550 --> 00:10:27,890
383
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
384
+
385
+ 97
386
+ 00:10:27,890 --> 00:10:31,270
387
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ๏ฟฝ๏ฟฝุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจ
388
+
389
+ 98
390
+ 00:10:33,010 --> 00:10:41,190
391
+ ุงู„ุฌุฏูˆู„ ุงู„ุจุฏุก ู…ู† 0 ู„ุบุงูŠุฉ ุฃูŠู†ุŸ ู„ู€ 3.4 ุฅูŠุด ุงู„ุฌูˆุงุจ
392
+
393
+ 99
394
+ 00:10:41,190 --> 00:10:50,110
395
+ ุงู„ุณุงูˆูŠุŸ ุชุญุช ุงู„ู€ 0 9997 ุฎู„ู‘ูŠู†ูŠ
396
+
397
+ 100
398
+ 00:10:50,110 --> 00:10:58,810
399
+ ุฃูƒู…ู„ ุทุจ ุฅูŠุด ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู„ู„ู€ ZุŸ 3.4 ุชุญุช ู…ูŠู†ุŸ ุชุญุช
400
+
401
+ 101
402
+ 00:10:58,810 --> 00:11:06,850
403
+ ุงู„ุชุณุนุฉู…ุธุจูˆุทุŸ ุทูŠุจ ุงุญุชู…ุงู„ B of Z less than 3.49 ุงูŠุด
404
+
405
+ 102
406
+ 00:11:06,850 --> 00:11:14,170
407
+ ุณูˆุชุŸ ุงุฎุฑ ูˆุงุญุฏุฉ 9998 ู…ุน ูƒุฏู‡ ุทู„ุนุช ุนู„ู‰ ุงู„ two tables
408
+
409
+ 103
410
+ 00:11:14,170 --> 00:11:18,930
411
+ ุงู„ุฃูˆู„ ู…ู† zero ู„ุบุงูŠุฉ ู†ุต ูˆู‡ุฐุง ู…ู† ู†ุต ู„ุบุงูŠุฉ ุชู‚ุฑูŠุจุง
412
+
413
+ 104
414
+ 00:11:18,930 --> 00:11:26,490
415
+ ูˆูŠู†ุŸ ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ุงู†ุง ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ุฑุณู…ุฉ ู‡ุฐู‡ ุจุชุงุนุฉ
416
+
417
+ 105
418
+ 00:11:26,490 --> 00:11:27,230
419
+ ุงู„ positive Z
420
+
421
+ 106
422
+ 00:11:32,510 --> 00:11:39,170
423
+ ูˆู‡ูŠ 3.49 ุงู„ area to the left ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุด ู‡ูŠูƒ
424
+
425
+ 107
426
+ 00:11:39,170 --> 00:11:51,790
427
+ ุงูŠุด ุณูˆุช ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ุทู„ุนู†ุง ุชุญุช 998 ู…ุธุจูˆุท ู„ูˆ ูƒุจุฑุชู‡ุง
428
+
429
+ 108
430
+ 00:11:51,790 --> 00:12:00,630
431
+ ุดูˆูŠุฉ ูŠุนู†ูŠ ู…ุด 3.49 ุฃุฎุฏู†ุงู‡ุง ุฒูŠ less than 4.65 ุงู„ 4.6
432
+
433
+ 109
434
+ 00:12:00,630 --> 00:12:04,690
435
+ ู…ุด ู…ูˆุฌูˆุฏุฉุจุณ ุฃู†ุง ู„ูˆ ุฏุฎู„ุช to the right ู…ุดูŠุช ู„ุฌูˆู‡ ุนู„ู‰
436
+
437
+ 110
438
+ 00:12:04,690 --> 00:12:11,050
439
+ ุงู„ูŠู…ูŠู† ู…ุงุดูŠู†ุง ู‡ู†ุง 4
440
+
441
+ 111
442
+ 00:12:11,050 --> 00:12:15,250
443
+ .65 ูˆ ุจุฏู‘ูŠ ุงู„ู…ุณุงุญุฉ to the left ู…ุด ู‡ุถูŠูู‡ุง ุฏู…ุงุญู‡ุง
444
+
445
+ 112
446
+ 00:12:15,250 --> 00:12:20,170
447
+ ุญุตูŠู‡ุง ุชู‚ุฑูŠุจุง ุฅูŠุดุŸ ูˆุงุญุฏ ููŠ ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ
448
+
449
+ 113
450
+ 00:12:20,170 --> 00:12:26,150
451
+ ุงู„ุฌุฏูˆู„ ู…ุนู†ุงู‡ ุฌูˆุงุจ ู…ุงู„ู‡ close to one ู„ุฃู†ู‡ุง ู…ุด
452
+
453
+ 114
454
+ 00:12:26,150 --> 00:12:29,650
455
+ ู…ูˆุฌูˆุฏุฉ ููƒู„ ู…ุง ุงุฏุฎู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุงู„ู…ุณุงุญุฉ ุนุงู…ุฉ ุจุชู‚ุชุฑุจ
456
+
457
+ 115
458
+ 00:12:29,650 --> 00:12:33,750
459
+ ู…ู† ูˆุงุญุฏุทุจ ู†ูุณ ุงู„ุดูŠุก ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ negative ุฒู‰ุŸ
460
+
461
+ 116
462
+ 00:12:33,750 --> 00:12:37,110
463
+ ุงู„ู„ู‰ ู…ูˆุฌูˆุฏ ุนู†ุฏู‰ ู„ุบุงูŠุฉ ูˆูŠู†ุŸ negative three point
464
+
465
+ 117
466
+ 00:12:37,110 --> 00:12:42,650
467
+ zero ู…ุธุจูˆุท ูˆ ุชุณุนุฉ ููŠ ุงู„ุขุฎุฑ ูŠุนู†ูŠ ุจุชุงุน ุงู„ negative
468
+
469
+ 118
470
+ 00:12:42,650 --> 00:12:47,870
471
+ ู‡ูŠู‡ ุฃุฎุฑ ู‚ูŠู…ุฉ ุฎุงู„ุต ู‡ูŠ negative three point four
472
+
473
+ 119
474
+ 00:12:47,870 --> 00:12:51,610
475
+ nine ุฅูŠุด ุงู„ area to the leftุŸ zero zero zero zero
476
+
477
+ 120
478
+ 00:12:51,610 --> 00:12:54,950
479
+ ุงุชู†ูŠู† ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู‡ูŠูƒ ุงู„ area
480
+
481
+ 121
482
+ 00:12:54,950 --> 00:13:00,780
483
+ probability point zero zero zero ุงุชู†ูŠู†ู„ูˆ ุนุงูŠุฒ ุฃู‚ู„
484
+
485
+ 122
486
+ 00:13:00,780 --> 00:13:09,500
487
+ ู…ู†ู‡ุง ูŠุนู†ูŠ ู‡ุฐุง ุงุญุชู…ุงู„ z ุฃู‚ู„ ู…ู† negative 3.49 ุงู„ุฌูˆุงุจ
488
+
489
+ 123
490
+ 00:13:09,500 --> 00:13:16,660
491
+ 0002 ู„ูˆ ุนุงูŠุฒ ุฃุตุบุฑ ู…ู†ู‡ุง ูŠุนู†ูŠ ุนุงูŠุฒ ู…ุด negative 3.49
492
+
493
+ 124
494
+ 00:13:16,660 --> 00:13:20,540
495
+ suppose we are interested in b of z less than
496
+
497
+ 125
498
+ 00:13:20,540 --> 00:13:28,660
499
+ negative 4.8 4.8 ุจุงู„ุนุฑุจูŠ ู‡ูŠูƒ negative 4.8 ูˆูŠู† ุฌุงูŠุฉ
500
+
501
+ 126
502
+ 00:13:29,640 --> 00:13:34,520
503
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุฃูƒุชุฑ ู…ุธุจูˆุท ู‡ูŠ negative 4.8 ู„ุฃู† ุงู„ู…ุณุงุญุฉ
504
+
505
+ 127
506
+ 00:13:34,520 --> 00:13:39,100
507
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ู…ุด ู…ุชุณุงูˆูŠ ุฃุตุบุฑ ู…ู† ุงู„ู„ูŠ ูุงุชุช ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง
508
+
509
+ 128
510
+ 00:13:39,100 --> 00:13:45,400
511
+ zero ุฅุฐุง ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ negative zero ุฃูŠ
512
+
513
+ 129
514
+ 00:13:45,400 --> 00:13:48,600
515
+ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ positive ุฃูƒุชุฑ ู…ู† 3.4 ุชุนุชุจุฑ
516
+
517
+ 130
518
+ 00:13:48,600 --> 00:13:56,120
519
+ ูˆุงุญุฏ ุฎู„ุงุต ุทูŠุจ ุฎู„ูŠู†ูŠ ุฃุฑุฌุน ู„ู„ slide ุชุงู†ูŠ ููŠ ุฃูŠ ุณุคุงู„
520
+
521
+ 131
522
+ 00:13:56,120 --> 00:14:00,130
523
+ ููŠ ุงู„ุฃูˆู„ุงู„ูƒู„ู…ุชูŠู† ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ุง ู…ู‡ู…ุงุช ุฌุฏุง ู…ุน
524
+
525
+ 132
526
+ 00:14:00,130 --> 00:14:04,790
527
+ ุงู„ู…ู…ุงุฑุณุฉ ุชุนู…ู„ ุงู„ practice ุฃูƒุชุฑ ุทุจุนุง ุงู„ practice ููŠ
528
+
529
+ 133
530
+ 00:14:04,790 --> 00:14:12,410
531
+ ุนู†ุฏูƒ practice ู„ู„ chapter ู…ูˆุฌูˆุฏ ููŠ ู†ุงูŠุฉ ุงู„ูƒุชุงุจ ุฎู„ู‘ูŠ
532
+
533
+ 134
534
+ 00:14:12,410 --> 00:14:18,330
535
+ ุจุงู„ูƒ ู…ุนุงูƒ ุฎู„ู‘ูŠ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุงู„ู„ูŠ
536
+
537
+ 135
538
+ 00:14:18,330 --> 00:14:24,070
539
+ ุฃู†ุง ุนุงูŠุฒู‡ ู…ู†ูƒ ุชู†ุชุจู‡ ุจุณ ูˆุงูุชุญ ุงู„ูƒุชุงุจ ุนู„ู‰ ุงู„ุฃุฎุฑ ุนู„ู‰
540
+
541
+ 136
542
+ 00:14:24,070 --> 00:14:28,360
543
+ ุงู„ุฃุฎุฑ ุตูุญุฉ ุงู„ู„ูŠ ููŠู‡ุง ุงู„ tableุจุณ ุณูŠุจูƒ ุฎู„ูŠูƒูŠ ุนู„ู‰ ุงู„
544
+
545
+ 137
546
+ 00:14:28,360 --> 00:14:33,160
547
+ table ุงู„ูŠูˆู… ุฎู„ูŠูƒูŠ ุนู„ู‰ ุงู„ table
548
+
549
+ 138
550
+ 00:14:33,160 --> 00:14:38,280
551
+ ุงู„ู„ูŠ ุฃู†ุง ุจู†ุตุญูƒ ุชุญุงูˆู„ูŠ ุชุตูˆุฑ ุงู„ tables ู‡ุฏูˆู„ ุฎู„ูŠู‡ู…
552
+
553
+ 139
554
+ 00:14:38,280 --> 00:14:42,020
555
+ ู…ุนุงูƒ ุทุจุนุง ููŠ ุงู„ุงู…ุชุญุงู† ุฃู†ุง ุจุนุทูŠูƒูŠ ุงู„ tables ูŠุนู†ูŠ
556
+
557
+ 140
558
+ 00:14:42,020 --> 00:14:46,880
559
+ ุงู…ุชุญุงู† ุงู„ tables ุจุจุนุฏูŠูƒูŠู‡ู… ู„ูˆ ุชุทู„ุน ุนู„ู‰ ุงู„ example
560
+
561
+ 141
562
+ 00:14:46,880 --> 00:14:50,060
563
+ ุงู„ู„ูŠ ู‡ู†ุง P of Z less than 2
564
+
565
+ 142
566
+ 00:14:55,420 --> 00:14:58,440
567
+ ุงู„ู€ z is given suppose we are interested in this
568
+
569
+ 143
570
+ 00:14:58,440 --> 00:15:08,600
571
+ probability ุนู†ุฏ ุงู„ 2 ุจุงู„ุธุจุท ูŠุนู†ูŠ 2.0 under 0 2.0
572
+
573
+ 144
574
+ 00:15:08,600 --> 00:15:16,840
575
+ under 0 this
576
+
577
+ 145
578
+ 00:15:16,840 --> 00:15:24,140
579
+ is 2.0 go to the right just one placeุณุชุญุตู„ ุนู„ู‰
580
+
581
+ 146
582
+ 00:15:24,140 --> 00:15:32,280
583
+ 9772 ุฅุฐุง ูุฅู† ุนุฏุฏ ุงู„ู€ z ุฃู‚ู„ ู…ู† 2 ูŠุนู†ูŠ 0.9772 ููŠ ุฃูŠ
584
+
585
+ 147
586
+ 00:15:32,280 --> 00:15:37,340
587
+ ุณุคุงู„ุŸ
588
+
589
+ 148
590
+ 00:15:37,340 --> 00:15:41,860
591
+ ุฅุฐุง
592
+
593
+ 149
594
+ 00:15:41,860 --> 00:15:50,210
595
+ ูุฅู†ูƒ ุชู„ู‚ู‰ ุนุฏุฏ ุงู„ z 2.0 ูˆ ุชุชุญุฑูƒ ุฅู„ู‰ ุฌู‡ุฉ ุฃุนู„ู‰ู„ุฃู†
596
+
597
+ 150
598
+ 00:15:50,210 --> 00:16:01,970
599
+ ู„ุฏูŠู†ุง ูู‚ุท 2.00 ูุนู†ุฏ 0 ู‡ู†ุง ู„ุฏูŠู†ุง 9 7 7 2 ุงู„ุขู†
600
+
601
+ 151
602
+ 00:16:01,970 --> 00:16:05,810
603
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ุนุงุฏู„ุงุช ุนุงุฏู„ุงุช ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
604
+
605
+ 152
606
+ 00:16:05,810 --> 00:16:06,970
607
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
608
+
609
+ 153
610
+ 00:16:06,970 --> 00:16:07,030
611
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
612
+
613
+ 154
614
+ 00:16:07,030 --> 00:16:09,090
615
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
616
+
617
+ 155
618
+ 00:16:09,090 --> 00:16:09,290
619
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
620
+
621
+ 156
622
+ 00:16:17,800 --> 00:16:20,660
623
+ ู‡ู†ุง ูŠูˆุฌุฏ ุฎุทูˆุงุช ุฃูƒุชุฑ ุซู„ุงุซุฉ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ
624
+
625
+ 157
626
+ 00:16:20,660 --> 00:16:21,500
627
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ
628
+
629
+ 158
630
+ 00:16:21,500 --> 00:16:22,760
631
+ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช
632
+
633
+ 159
634
+ 00:16:22,760 --> 00:16:26,780
635
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช
636
+
637
+ 160
638
+ 00:16:26,780 --> 00:16:33,820
639
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ
640
+
641
+ 161
642
+ 00:16:33,820 --> 00:16:35,580
643
+ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช
644
+
645
+ 162
646
+ 00:16:35,580 --> 00:16:44,460
647
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุท
648
+
649
+ 163
650
+ 00:17:01,860 --> 00:17:11,800
651
+ ุฏุนูˆู†ุง ู†ู‚ูˆู… ุจุงู„ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุนู†ูŠ convert ุชุฑุฌู…ุฉ
652
+
653
+ 164
654
+ 00:17:11,800 --> 00:17:20,880
655
+ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ
656
+
657
+ 165
658
+ 00:17:20,880 --> 00:17:21,400
659
+ ุชุฑุฌู…ุฉ
660
+
661
+ 166
662
+ 00:17:24,140 --> 00:17:30,400
663
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุญูˆูŠู„ X ุฅู„ู‰ ZุŸ ุจุงุณุชุฎุฏุงู… ุงู„ูˆุงู‚ุน Z ูŠู‚ู„ X
664
+
665
+ 167
666
+ 00:17:30,400 --> 00:17:36,000
667
+ ู…ุงู†ูˆุณ ู…ูŠูˆ ุชู‚ุฑูŠุฑู‡ ุจุณูŠุฌู…ุง X ู…ุงู†ูˆุณ .. ู‡ุฐุง ูŠุนู†ูŠ ููŠ
668
+
669
+ 168
670
+ 00:17:36,000 --> 00:17:39,920
671
+ ุงู„ูˆุงู‚ุน X
672
+
673
+ 169
674
+ 00:17:39,920 --> 00:17:46,600
675
+ ู…ุงู†ูˆุณ .. ู…ูŠู† X ุชู‚ุฑูŠุฑู‡ ุจุณูŠุฌู…ุง X ูู‚ุท ู„ุชุนุฑูŠูุงุช ุจุณูŠุทุฉ
676
+
677
+ 170
678
+ 00:17:46,600 --> 00:17:49,040
679
+ ู†ุณุชุฎุฏู… X ู…ุงู†ูˆุณ ู…ูŠูˆ ุนู„ู‰ ุณูŠุฌู…ุง
680
+
681
+ 171
682
+ 00:17:54,500 --> 00:17:58,220
683
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุทุจูŠุนูŠุฉ ุงู„ุตู†ุฏูˆู‚ูŠุฉ ู„ุชุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู‚ุงุนุฏุฉุŒ
684
+
685
+ 172
686
+ 00:17:58,220 --> 00:18:02,960
687
+ ูู‡ู†ุง ูŠูˆุฌุฏ ุฃุณุงุณู‹ุง ุซู„ุงุซ ุฎุทูˆุท ู„ุชู‚ูˆู… ุจุชุญุฏูŠุซ ุฃูŠ ู…ุนุฑูˆู
688
+
689
+ 173
690
+ 00:18:02,960 --> 00:18:09,320
691
+ ุชุญุช ุงู„ู‚ูŠุงุฏุฉ ุงู„ุทุจูŠุนูŠุฉ. ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุงุนุชู‚ุฏ ุงู† X
692
+
693
+ 174
694
+ 00:18:09,320 --> 00:18:13,420
695
+ ู‡ูˆ ุงู„ูˆู‚ุช ุงู„ู„ุฐูŠ ูŠุณุชุบุฑู‚ ููŠ ุซุงู†ูˆูŠุฉ ู„ุชุญู…ูŠู„ ู…ู„ู ุตูˆุฑุฉ ู…ู†
696
+
697
+ 175
698
+ 00:18:13,420 --> 00:18:21,570
699
+ ุงู„ุฅู†ุชุฑู†ุช ูˆ X ู…ุซู„ ุงู„ุฒู…ู†ุงู„ูˆู‚ุช ู…ุณุชู…ุฑ ูˆู„ุง ู…ุณุชู…ุฑุŸ ู…ุณุชู…ุฑ
700
+
701
+ 176
702
+ 00:18:21,570 --> 00:18:26,410
703
+ ู„ุฃู†ู‡ ู„ุง ูŠู…ูƒู† ุฃู† ูŠุฃุฎุฐ ุฃูŠ ู‚ูŠู…ุฉ ู…ุธุจูˆุทุŸ ุงู„ูˆู‚ุช ูŠู…ูƒู† ุฃู†
704
+
705
+ 177
706
+ 00:18:26,410 --> 00:18:31,930
707
+ ูŠูƒูˆู† 3.6 3 3.5 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุŒ ู„ุฐู„ูƒ ุงู„ูˆู‚ุช ูŠุนุชุจุฑ
708
+
709
+ 178
710
+ 00:18:31,930 --> 00:18:33,770
711
+ ู…ุณุชู…ุฑู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง
712
+
713
+ 179
714
+ 00:18:33,770 --> 00:18:37,310
715
+ ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง
716
+
717
+ 180
718
+ 00:18:37,310 --> 00:18:44,690
719
+ ู…ุฎุชู„ูู‹ุง
720
+
721
+ 181
722
+ 00:18:44,690 --> 00:18:45,710
723
+ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ
724
+
725
+ 182
726
+ 00:18:45,710 --> 00:18:46,090
727
+ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ
728
+
729
+ 183
730
+ 00:18:46,090 --> 00:18:52,860
731
+ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชof 18 seconds and
732
+
733
+ 184
734
+ 00:18:52,860 --> 00:18:57,820
735
+ standard deviation of 5 seconds and suppose we are
736
+
737
+ 185
738
+ 00:18:57,820 --> 00:19:03,700
739
+ interested in the probability of X less than 18.6
740
+
741
+ 186
742
+ 00:19:03,700 --> 00:19:07,560
743
+ seconds ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู„ุฒู…ู† ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุชู†ุฒู„ image
744
+
745
+ 187
746
+ 00:19:07,560 --> 00:19:12,840
747
+ ู…ู† ุงู„ุงู†ุชุฑู†ุช ุจูŠุงุฎุฏ ููŠ ุงู„ู…ุชูˆุณุท mean 18 ุชุงู†ูŠุฉ ูˆ
748
+
749
+ 188
750
+ 00:19:12,840 --> 00:19:16,150
751
+ standard deviation 5ุจู†ูุชุฑุถ X ุงู„ู„ูŠ ู‡ูŠ normal
752
+
753
+ 189
754
+ 00:19:16,150 --> 00:19:20,650
755
+ distribution ุจูŠุณุฃู„ ุฅูŠุด ุงู„ probability ุฅูŠุด ุงู„
756
+
757
+ 190
758
+ 00:19:20,650 --> 00:19:25,690
759
+ chance ุฅูŠุด ุงู„ุงุญุชู…ุงู„ ุฃู† X ูŠุนู†ูŠ ุงู„ุฒู…ู† ุงู„ู„ูŠ ู„ุงุฒู… ูŠูƒูˆู†
760
+
761
+ 191
762
+ 00:19:25,690 --> 00:19:31,350
763
+ ุฃู‚ู„ ู…ู† 18.6 step
764
+
765
+ 192
766
+ 00:19:31,350 --> 00:19:37,590
767
+ one we have to draw first this is the normal curve
768
+
769
+ 193
770
+ 00:19:37,590 --> 00:19:44,580
771
+ the mean in the center the mean is 18ุงู„ุงู† ู†ุญู†
772
+
773
+ 194
774
+ 00:19:44,580 --> 00:19:51,760
775
+ ู…ู‡ุชู…ูŠู† ุจ 18.6 ุงุฐุง ุงุฐู‡ุจ ุงู„ู‰ ุงู„ูŠู…ูŠู† ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ 18.6
776
+
777
+ 195
778
+ 00:19:51,760 --> 00:20:00,080
779
+ ูˆู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ู„ุฐู„ูƒ ุงุฑุณู„
780
+
781
+ 196
782
+ 00:20:00,080 --> 00:20:06,440
783
+ ูู‚ุท ูƒูŠุฑุจ ุนุงุฏู„ ู…ุน ู…ุนู†ู‰ 18 ูˆู†ุญู† ู…ู‡ุชู…ูŠู† ุจู‡ุฐุง ู‚ูŠู…ุฉ X X
784
+
785
+ 197
786
+ 00:20:06,440 --> 00:20:12,360
787
+ ูˆุงุถุญ ุงู„ุงุตู…ู‡ุŸ ุงู„ู„ูŠ ู…ุฑุณูˆู… ุนู†ุฏูƒ ุฎู„ุงุตุŸ
788
+
789
+ 198
790
+ 00:20:14,090 --> 00:20:18,210
791
+ ู„ุฃู† ุงู„ area to the right of the mean ู‡ุฐูŠ area
792
+
793
+ 199
794
+ 00:20:18,210 --> 00:20:24,370
795
+ ุชุณุงูˆูŠ ู‚ุฏุงุด ู†ุตุŒ ุนู„ู‰ ุงู„ุดู…ุงู„ ู†ุตุŒ ู…ุธุจูˆุทุŸ ุชุชูˆู‚ุนูŠ ุงู„ุฌูˆุงุจ
796
+
797
+ 200
798
+ 00:20:24,370 --> 00:20:29,450
799
+ ู‡ูŠุทู„ุน ุฃูƒุจุฑ ู…ู† ู†ุต ูˆู„ุง ุฃู‚ู„ ู…ู† ู†ุตุŸ ุฃูƒุจุฑ ู…ู† ู†ุตุŒ ู„ูŠุดุŸ
800
+
801
+ 201
802
+ 00:20:29,450 --> 00:20:32,630
803
+ ู„ุฃู† ุฃู†ุง ุนุงูŠุฒ probability of X less than 18.6 it
804
+
805
+ 202
806
+ 00:20:32,630 --> 00:20:37,270
807
+ means this area ูƒู„ู‡ุง ุฒุงุฏ ู„ู„ุตุบูŠุฑุฉุŒ ูุจุงู„ุชุงู„ูŠ ุฃูƒูŠุฏ
808
+
809
+ 203
810
+ 00:20:37,270 --> 00:20:42,340
811
+ ุฃูƒุชุฑ ู…ู† ู†ุตุŒ ู„ูŠุด ุจุชูƒูˆู† ุฃู‚ู„ ู…ู† ู†ุตุŸู„ูˆ ูƒุงู†ุช ุนู„ู‰ ุงู„ุดู…ุงู„
812
+
813
+ 204
814
+ 00:20:42,340 --> 00:20:48,700
815
+ ุชูƒูˆู† ุชุญุช ู‡ู†ุง ุงูˆ ุงุฐุง ูƒุงู†ุช ุงูŠ ุงุชู†ุงุด ู…ุชุฑ ุงุฐุง ูƒุงู†ุช ุนู„ู‰
816
+
817
+ 205
818
+ 00:20:48,700 --> 00:20:53,140
819
+ ุงู„ูŠุณุงุฑ ู…ู† ุงู„ู…ูŠุงู† ูŠู…ูƒู† ุงู† ุชูƒูˆู† ุงู‚ู„ ู…ู† 0.5 ุนู„ู‰ ุงูŠ
820
+
821
+ 206
822
+ 00:20:53,140 --> 00:20:58,660
823
+ ุญุงู„ ู†ุญู† ู…ู‡ุชู…ูŠู† ุจุงู„ูุฑุตุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ู„ุฐู„ูƒ ุฑู‚ู… ูˆุงุญุฏ
824
+
825
+ 207
826
+ 00:20:58,660 --> 00:21:03,420
827
+ ุงู†ุง ุงุฑุณู„ ูุฑุตุฉ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุนุงุฏูŠุฉ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ
828
+
829
+ 208
830
+ 00:21:03,420 --> 00:21:04,300
831
+ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุฒูŠ
832
+
833
+ 209
834
+ 00:21:10,800 --> 00:21:21,060
835
+ x is 18.6 minus the mean is 18 sigma 5 ุงูŠุด ุจูŠุณุงูˆูŠ
836
+
837
+ 210
838
+ 00:21:21,060 --> 00:21:26,660
839
+ 0.6 over 5 which
840
+
841
+ 211
842
+ 00:21:26,660 --> 00:21:33,100
843
+ is 0.12 ู…ู…ูƒู† ุงุญุท ุนู„ู‰ ู†ูุณ ุงู„ curve ู„ูˆ ุจุฏุฃ ุงุญุท ุงู„
844
+
845
+ 212
846
+ 00:21:33,100 --> 00:21:38,220
847
+ curve ุชุจู‚ู‰ ุงู„ z ุทุจุนุง ุงู„ curve ู„ู„ z ูˆ ุงู„ x ุฒูŠ ุจุนุฏ
848
+
849
+ 213
850
+ 00:21:38,220 --> 00:21:45,680
851
+ ุจุณ ุงู„ scale ุจูŠุฎุชู„ูุงู„ู€ mean ุชุจู‚ู‰ ุฃุฒูŠุด ุจูŠุณุงูˆูŠ 0 ุงู„ู€
852
+
853
+ 214
854
+ 00:21:45,680 --> 00:21:53,680
855
+ 18.6 ุฃุฒูŠุด ุตุงุฑุช 12 ู†ูุณ ุงู„ curve ุจุณ ุงู„ mean ุงู„ู„ูŠ ู‡ูŠ
856
+
857
+ 215
858
+ 00:21:53,680 --> 00:22:00,960
859
+ 18 ุจุชุงุนุฉ ุงู„ normal distribution ููŠ ุงู„ Z ุตุงุฑุช 0 ูˆู‡ูŠ
860
+
861
+ 216
862
+ 00:22:00,960 --> 00:22:06,460
863
+ ุงู„ุณุฌู†ุฉ ูˆู‡ูŠ ุงู„ู„ูŠ 18.6 ุตุงุฑุช 0.12 ูุจุงู„ุชุงู„ูŠ ุฎู„ุตุช ู‡ูŠ ุงู„
864
+
865
+ 217
866
+ 00:22:06,460 --> 00:22:12,300
867
+ convertุฅุฐุง ุตุฑุช ุงู„ู…ุซู„ Probability of X less than 18
868
+
869
+ 218
870
+ 00:22:12,300 --> 00:22:18,240
871
+ .6 ู‡ุฐุง ู…ุทู„ูˆุจ ุจุงู„ุดูŠุฎ ุตุงุฑุช ุนุจุงุฑุฉ ุนู† ุฅูŠุด Probability
872
+
873
+ 219
874
+ 00:22:18,240 --> 00:22:26,640
875
+ of Z less than 0.12 step 3 ุนุจุงุฑุฉ ุนู† ุฅูŠุด use z
876
+
877
+ 220
878
+ 00:22:26,640 --> 00:22:30,520
879
+ table ุทู„ุน ุนู„ู‰ z table z positive ูˆู„ุง negative
880
+
881
+ 221
882
+ 00:22:30,520 --> 00:22:37,720
883
+ positive positive values
884
+
885
+ 222
886
+ 00:22:37,720 --> 00:22:38,280
887
+ of z
888
+
889
+ 223
890
+ 00:23:03,850 --> 00:23:09,750
891
+ ู…ุฑุฉ ุซุงู†ูŠุฉ ู„ุฏูŠ ุซู„ุงุซ ุฎุทูˆุงุช
892
+
893
+ 224
894
+ 00:23:13,110 --> 00:23:19,150
895
+ ุจุฑุณู… ุงู„ู‡ูŠุฆุฉ ุงู„ุทุจูŠุนูŠุฉ ูŠุฌุจ ุฃู† ุชุฌุฏ ู…ุตุฏุฑ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ
896
+
897
+ 225
898
+ 00:23:19,150 --> 00:23:26,850
899
+ ู‡ูŠ 18 ูˆู‚ูŠู…ุฉ X ู‡ู†ุง ู†ุญู† ู…ู‡ุชู…ูŠู† ุจุงู„ู€ 18.6 ุงู„ุฃู† 18.6
900
+
901
+ 226
902
+ 00:23:26,850 --> 00:23:31,390
903
+ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุฌุงู†ุจ ุงู„ู€ 18 ูู‡ุฐุง ู‡ูˆ X ุงู„ุฎุงุต ุจูŠ
904
+
905
+ 227
906
+ 00:23:31,390 --> 00:23:37,850
907
+ ุฎุทูˆุฉ 2 ุชุญูˆู„ X ุฅู„ู‰ Z ุจุงุณุชุฎุฏุงู… X ู…ุงู†ุณ ู…ูŠูˆ ุนุจุฑ ุณูŠุฌู…ุง
908
+
909
+ 228
910
+ 00:23:37,850 --> 00:23:42,550
911
+ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง X ูŠูƒูˆู† 18.6 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ
912
+
913
+ 229
914
+ 00:23:46,410 --> 00:23:51,970
915
+ ู…ุน ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ 18 ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
916
+
917
+ 230
918
+ 00:23:51,970 --> 00:23:56,830
919
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
920
+
921
+ 231
922
+ 00:23:56,830 --> 00:23:58,290
923
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
924
+
925
+ 232
926
+ 00:23:58,290 --> 00:23:58,810
927
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
928
+
929
+ 233
930
+ 00:23:58,810 --> 00:23:59,350
931
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
932
+
933
+ 234
934
+ 00:23:59,350 --> 00:24:02,690
935
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
936
+
937
+ 235
938
+ 00:24:02,690 --> 00:24:08,190
939
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
940
+
941
+ 236
942
+ 00:24:08,190 --> 00:24:09,370
943
+ ู…
944
+
945
+ 237
946
+ 00:24:13,070 --> 00:24:15,410
947
+ Now what does this result meanุŸ ุฅูŠุด ู…ุนู†ู‰ ุงู„ุฌูˆุงุจ
948
+
949
+ 238
950
+ 00:24:15,410 --> 00:24:19,070
951
+ ุงู„ู„ูŠ ุทู„ุนุŸ ู‡ูˆ ุจูŠุณุฃู„ ุฅูŠุด ุงู„ time required to
952
+
953
+ 239
954
+ 00:24:19,070 --> 00:24:23,650
955
+ download an image from the internet if X is less
956
+
957
+ 240
958
+ 00:24:23,650 --> 00:24:26,790
959
+ than 18.6 seconds ูŠุนู†ูŠ ุฅูŠุด ุงุญุชุจุงู„ ุชู†ุฒู„ ุดุบู„ ุนู„ู‰
960
+
961
+ 241
962
+ 00:24:26,790 --> 00:24:31,990
963
+ ุงู„ุงู†ุชุฑู†ุช ุชุงุฎุฏ ู…ุนุงูƒ ุฒู…ู† ุฃู‚ู„ ู…ู† 18.6 second ุทู„ุน
964
+
965
+ 242
966
+ 00:24:31,990 --> 00:24:38,250
967
+ ุงู„ุฌูˆุงุจ 0.54 ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง 54% ุงู„ูƒู„ุงู… ุฏู‡ ู…ู…ูƒู† ูŠุชุญู‚ู‚
968
+
969
+ 243
970
+ 00:24:38,250 --> 00:24:42,330
971
+ ู‡ู†ุฒู„ ุดุบู„ ุนู„ู‰ ุงู„ุงู†ุชุฑู†ุช ูˆ ุชุงุฎุฏ ู…ุนุงู‡ 18 ุซุงู†ูŠุฉ ูˆ 16
972
+
973
+ 244
974
+ 00:24:53,750 --> 00:25:01,070
975
+ now suppose we want to find normal upper tail ุฅูŠุด
976
+
977
+ 245
978
+ 00:25:01,070 --> 00:25:08,890
979
+ upper tailุŸ ุงู„ upper tail ุฅูŠุด ู…ุนู†ุงู‡ upper tailุŸ
980
+
981
+ 246
982
+ 00:25:08,890 --> 00:25:17,000
983
+ upper tail upper ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ุฃุนู„ู‰ ูˆ tailtail ู‡ูŠ
984
+
985
+ 247
986
+ 00:25:17,000 --> 00:25:24,400
987
+ ุนุฑุจ ูˆ ุงู†ุฌู„ูŠุฒุฉ ูˆุงุญุฏ ุนุฑุจ ูˆ ุงู†ุฌู„ูŠุฒุฉ ูˆุงุญุฏ tail ู…ุนุงูƒ
988
+
989
+ 248
990
+ 00:25:24,400 --> 00:25:28,880
991
+ ุฌูˆุงู„ุŸ ุญุทูŠู‡ ุนู„ู‰ ุงู„ dictionaryุŒ ุฅูŠุด ู…ุนู†ุงู‡ tailุŸ ุทุฑู
992
+
993
+ 249
994
+ 00:25:28,880 --> 00:25:34,980
995
+ ุฃูˆ dial ุทุฑู ูŠู…ูŠู†ุŒ ุทุฑู ุฃุนู„ู‰ upper tail ู…ุนู†ุงู‡ ุงู„ุทุฑู
996
+
997
+ 250
998
+ 00:25:34,980 --> 00:25:39,500
999
+ ุงู„ุฃุนู„ู‰ ูŠุนู†ูŠ ุนุงูŠุฒูŠ ุงู„ probability to the right side
1000
+
1001
+ 251
1002
+ 00:25:39,500 --> 00:25:42,360
1003
+ ูŠุนู†ูŠ ุงู„ุทุฑู ุงู„ู…ูˆุฌุจ
1004
+
1005
+ 252
1006
+ 00:25:46,100 --> 00:25:49,000
1007
+ ูŠุนู†ูŠ ุจุนุฏ ู…ุง ูƒู†ุช ุนุงูŠุฒุฉ probability of x less than
1008
+
1009
+ 253
1010
+ 00:25:49,000 --> 00:25:55,920
1011
+ 18.6 ุนุงูŠุฒูŠู† ุงู„ probability of x greater than 18.6
1012
+
1013
+ 254
1014
+ 00:25:55,920 --> 00:26:00,240
1015
+ in
1016
+
1017
+ 255
1018
+ 00:26:00,240 --> 00:26:06,160
1019
+ stead of less than 18.6 to the left side we are
1020
+
1021
+ 256
1022
+ 00:26:06,160 --> 00:26:08,840
1023
+ looking for this probability for this area or for
1024
+
1025
+ 257
1026
+ 00:26:08,840 --> 00:26:14,100
1027
+ this probability the area to the right ู…ุณุงุญู„
1028
+
1029
+ 258
1030
+ 00:26:14,100 --> 00:26:26,100
1031
+ ุนู„ู‰ ุงู„ูŠู…ูŠู†ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ ุงู„ู…ุณุงุญุฉ
1032
+
1033
+ 259
1034
+ 00:26:26,100 --> 00:26:31,560
1035
+ ุชุญุช ู…ู†ุญู†ู‰ ุงู„ุชูˆุฒูŠุน ุทุจุนุง ุจุณู‡ุง ูˆุงุญุฏ ุฅุฐุง ุทู„ุนุช ู‡ูŠูƒ to
1036
+
1037
+ 260
1038
+ 00:26:31,560 --> 00:26:39,460
1039
+ the left 0.5478 ุฅูŠุด ู‡ุชูƒูˆู† ุนู„ู‰ ุงู„ูŠู…ูŠู† one minus
1040
+
1041
+ 261
1042
+ 00:26:39,460 --> 00:26:46,710
1043
+ this value ู…ุด ู‡ูŠูƒ ู…ุธุจูˆุท ุฅุฐุง ุญูƒูŠุชู„ูƒ ุงุญุชู…ุงู„ ุงู†ูƒุชุฎุณุฑ
1044
+
1045
+ 262
1046
+ 00:26:46,710 --> 00:26:51,710
1047
+ ุดุบู„ุฉ ู…ุนูŠู†ุฉ ุจุชู„ุงุชุฉ ู…ู† ุนุดุฑุฉ ุงุญุชู…ุงู„ ุงู„ุฑุจุญ ุณุจุนุฉ
1048
+
1049
+ 263
1050
+ 00:26:51,710 --> 00:26:57,910
1051
+ ูุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† 18.6 ู‡ุฐุง ูŠุจู‚ู‰ one minus ุงุญุชู…ุงู„ X
1052
+
1053
+ 264
1054
+ 00:26:57,910 --> 00:27:04,290
1055
+ ุฃู‚ู„ ู…ู† 18.6 so always in general if we are looking
1056
+
1057
+ 265
1058
+ 00:27:04,290 --> 00:27:08,450
1059
+ for to the upper tail X greater than for example B
1060
+
1061
+ 266
1062
+ 00:27:08,450 --> 00:27:16,450
1063
+ this equals one minus X ุฃู‚ู„ ู…ู† Bุฎู„ุงุตุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุน
1064
+
1065
+ 267
1066
+ 00:27:16,450 --> 00:27:19,750
1067
+ ุจุงุญุชู…ุงู„ X ุนู„ู‰ ุงู„ูŠู…ูŠู† ุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„ ูˆ ุงุชุฑุญ ู…ู†ู‡ุง
1068
+
1069
+ 268
1070
+ 00:27:19,750 --> 00:27:24,550
1071
+ ูˆุงุญุฏ ูˆุงุถุญุฉ ููŠ ุฃูŠ .. ู„ูŠุด ู„ุฃ .. ู„ูŠุด ู„ุฃ ู„ุฃ ุงู„ู„ูŠ ุฃู†ุง
1072
+
1073
+ 269
1074
+ 00:27:24,550 --> 00:27:29,210
1075
+ ุจุญูƒูŠ ุงุญุชู…ุงู„ X ุฃูƒุจุฑ ู…ู† B ูˆุนุงูŠุฒ ุงู„ุดู…ุงู„ .. ุงู„ูŠู…ูŠู†
1076
+
1077
+ 270
1078
+ 00:27:29,210 --> 00:27:34,410
1079
+ ุจู‚ุฏุฑ ุฃุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„
1080
+
1081
+ 271
1082
+ 00:27:34,410 --> 00:27:38,390
1083
+ ุทุจ ุงู„ุดู…ุงู„ ุงู„ู†ุญู„ ู‡ู†ุง ุงู„ู…ูƒู…ู„ ุฅูŠู‡ุŸ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ูˆุงุญุฏ
1084
+
1085
+ 272
1086
+ 00:27:38,390 --> 00:27:42,970
1087
+ ู†ุงู‚ุต ุงู„ุดู…ุงู„ ุฃุญูุธูŠู‡ุง .. ูุงู…ูŠู‡ุง ุฒูŠ ู…ุง ุฃู†ุช ุนุงูŠุฒู‡ุง ู…ุด
1088
+
1089
+ 273
1090
+ 00:27:42,970 --> 00:27:46,640
1091
+ ู‡ู‚ุฏุฑ ุฃูˆุถุญู‡ุง ุฃูƒุชุฑ ู…ู† ู‡ู†ุงุฎู„ุงุต ุงุญุชู…ุงู„ x ุฃูƒุจุฑ ู…ู† b
1092
+
1093
+ 274
1094
+ 00:27:46,640 --> 00:27:52,160
1095
+ ุจูŠุณูˆุง one minus d of x ุฃู‚ู„ ู…ู† b ูŠุนู†ูŠ ููŠ ุงู„ู…ุซู„ ุงู„ู„ูŠ
1096
+
1097
+ 275
1098
+ 00:27:52,160 --> 00:27:55,620
1099
+ ุนู†ุฏู‰ probability of x greater than 18.6 equals
1100
+
1101
+ 276
1102
+ 00:27:55,620 --> 00:28:04,320
1103
+ ูˆุงุญุฏ minus five four seven eight point four five
1104
+
1105
+ 277
1106
+ 00:28:04,320 --> 00:28:11,150
1107
+ two two ู„ุญุธุฉ ู„ูˆ ุฌู…ุนุช ุงู„ู‚ูŠู…ุชูŠู† ู‡ุฏูˆู„ู„ูˆ ุฌู…ุนุช ุงู„ุงุชู†ูŠู†
1108
+
1109
+ 278
1110
+ 00:28:11,150 --> 00:28:15,050
1111
+ ุงูŠุด ู‡ูŠุณุงูˆุŸ ูˆุงุญุฏ ู„ุฃู† ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ area under the
1112
+
1113
+ 279
1114
+ 00:28:15,050 --> 00:28:18,130
1115
+ normal curve equals one ุงุฐุง ู†ุจุฏุฃ ุจุงู„ู†ุณุจุงู„ูŠ ุงู„
1116
+
1117
+ 280
1118
+ 00:28:18,130 --> 00:28:22,510
1119
+ upper tail ุงุฐุง ุนุฑูู†ุง ู…ู† ุดูˆูŠุฉ ุงู„ left tail ูˆู‡ูŠ ุงู„
1120
+
1121
+ 281
1122
+ 00:28:22,510 --> 00:28:28,990
1123
+ upper tailุŒ ุงูŠุด ุจุชุงู… ุนู†ุฏู‡ุŸ ุงู„ between finding
1124
+
1125
+ 282
1126
+ 00:28:28,990 --> 00:28:35,850
1127
+ normal probability between two values suppose
1128
+
1129
+ 283
1130
+ 00:28:35,850 --> 00:28:42,110
1131
+ X is normal with mean 18ูˆุงู„ุตุญูŠุญุฉ ุงู„ุฎุงู…ุณุฉ ุชุฌุฏ X ุจูŠู†
1132
+
1133
+ 284
1134
+ 00:28:42,110 --> 00:28:47,230
1135
+ 18 ูˆ 18.6 ุนุงูŠุฒ ุงู„ Probability between two values
1136
+
1137
+ 285
1138
+ 00:29:17,140 --> 00:29:22,620
1139
+ ู…ูŠู†ูˆ 18 ุจูŠูƒุณ
1140
+
1141
+ 286
1142
+ 00:29:22,620 --> 00:29:28,760
1143
+ ุฃูƒุชุฑ ู…ู† 18 ูˆุฃู‚ู„ ู…ู† 18.6 ููŠ
1144
+
1145
+ 287
1146
+ 00:29:28,760 --> 00:29:32,760
1147
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุขู†
1148
+
1149
+ 288
1150
+ 00:29:32,760 --> 00:29:39,560
1151
+ ุจุดูƒู„ ุนุงู… ุฅุฐุง ูƒุงู†ุช X ุจูŠู† ุงุชูุงู‚ูŠู† ุงุชูุง๏ฟฝ๏ฟฝูŠู† ุงุชูุงู‚ูŠู†
1152
+
1153
+ 289
1154
+ 00:29:39,560 --> 00:29:45,080
1155
+ ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู†
1156
+
1157
+ 290
1158
+ 00:29:45,080 --> 00:29:51,080
1159
+ ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู†18 ูˆ18.6 ุงู„ุขู† ุงู„ุทุงุจู‚ ู…ุฑุฉ ุฃุฎุฑู‰ ูŠุนุทูŠ
1160
+
1161
+ 291
1162
+ 00:29:51,080 --> 00:29:55,600
1163
+ ุงู„ู…ู†ุทู‚ุฉ ู„ู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑ ู„ุฐู„ูƒ ู„ูƒู…ุจูˆุช ุงู„ู…ู†ุทู‚ุฉ ุงู„ูŠุณุงุฑ
1164
+
1165
+ 292
1166
+ 00:29:55,600 --> 00:30:02,820
1167
+ ู…ุจุงุดุฑุฉ ุฃูƒุชุฑ ู…ู† 1 ู…ุงู†ูˆุณ ุงู„ุขู† ุณุจุจูˆุฒ ู†ุญู† ู…ู‡ุชู…ูŠู†
1168
+
1169
+ 293
1170
+ 00:30:02,820 --> 00:30:07,480
1171
+ ุจุงู„ุงู†ุชุตุงุฑ ุจูŠู† ุงุชุณุงุจู‚ูŠู† ุงุชุณุงุจู‚ูŠู† ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุด
1172
+
1173
+ 294
1174
+ 00:30:07,480 --> 00:30:13,440
1175
+ ู‡ุชุณุงูˆูŠ ููŠ ุงู„ู†ุต ุงู„ู…ุณุงุญุฉ
1176
+
1177
+ 295
1178
+ 00:30:13,440 --> 00:30:23,780
1179
+ ู‡ุฐู‡ ุงู„ู…ุนู„ู…ุฉ ู‡ูŠูƒุจุชุณุงูˆูŠ ุงู„ุฃู‚ู„ ู…ู† 18.6 ุจุงู„ุธุจุท
1180
+
1181
+ 296
1182
+ 00:30:23,780 --> 00:30:33,040
1183
+ ุงู„ุฃู‚ู„ ู…ู† 18.6 minus X ุฃู‚ู„ ู…ู† 18 ูŠุนู†ูŠ
1184
+
1185
+ 297
1186
+ 00:30:33,040 --> 00:30:39,160
1187
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ู„ู…ุง ุจุดุชุบู„ ุนู„ู‰ two values ุจุชุทู„ุน P of X
1188
+
1189
+ 298
1190
+ 00:30:39,160 --> 00:30:42,900
1191
+ less than ุงู„ูƒุจูŠุฑุฉ ุงู„ู„ูŠ ู‡ู†ุง ู†ุงู‚ุต P of X less than
1192
+
1193
+ 299
1194
+ 00:30:42,900 --> 00:30:45,080
1195
+ ุงู„ุตุบูŠุฑุฉ in general
1196
+
1197
+ 300
1198
+ 00:30:48,860 --> 00:30:57,500
1199
+ ู„ู€ X ุจูŠู† A ูˆB ุณูˆุงุก
1200
+
1201
+ 301
1202
+ 00:30:57,500 --> 00:31:04,200
1203
+ ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ุฑู‚ู…
1204
+
1205
+ 302
1206
+ 00:31:04,200 --> 00:31:12,360
1207
+ ูˆุงุญุฏ ุจูŠ ู…ู† X ุฃู‚ู„ ู…ู† A ู‡ุฐุง ู…ุจุงุดุฑุฉ ู…ุจุงุดุฑุฉ ุชุญู„ูŠู‡ุง ุนู„ู‰
1208
+
1209
+ 303
1210
+ 00:31:12,360 --> 00:31:14,220
1211
+ ุทูˆู„ ู„ุฃู† ุงู„ูƒู„ุจุฉ ุชุนุทูŠ ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ
1212
+
1213
+ 304
1214
+ 00:31:17,210 --> 00:31:26,850
1215
+ ุฅุฐุง ูƒุงู† X ุฃูƒุจุฑ ู…ู† B ูŠูƒูˆู† 1 ู†ุงู‚ุต ุฅู„ู‰ ุงู„ุชุงู„ุชุฉ ุฅุฐุง
1216
+
1217
+ 305
1218
+ 00:31:26,850 --> 00:31:31,010
1219
+ ูƒุงู† X ุจูŠู† A ูˆ B ุฃู‚ู„
1220
+
1221
+ 306
1222
+ 00:31:31,010 --> 00:31:34,850
1223
+ ู…ู† B ูŠูƒูˆู† 1 ู†ุงู‚ุต ุฅู„ู‰ ุงู„ุชุงู„ุชุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ูˆุงู†ูŠู†
1224
+
1225
+ 307
1226
+ 00:31:34,850 --> 00:31:42,490
1227
+ ุงู„ุซู„ุงุซุฉ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ุฅุฐุง ุฃุฑุฏุช ุฅุญุชู…ุงู„ X ุจูŠู† A 18 ูˆ 18
1228
+
1229
+ 308
1230
+ 00:31:42,490 --> 00:31:48,190
1231
+ .6 ูŠุนู†ูŠ 18.6 minus X less than 18ู…ุน ูƒุฏู‡ ุงู„ู…ุซู„ ุตุงุฑุช
1232
+
1233
+ 309
1234
+ 00:31:48,190 --> 00:31:51,990
1235
+ ู…ุซู„ุชูŠู† ุงุชุญู„ู„ู‡ู…
1236
+
1237
+ 310
1238
+ 00:31:51,990 --> 00:31:57,050
1239
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฎู„ุงุต ูƒุงู†ูˆุง ู…ุซู„ุชูŠู† ุงุญู„ู„ู‡ู… ูˆุงุฎุฏ ุงู„ูุฑู‚
1240
+
1241
+ 311
1242
+ 00:31:57,050 --> 00:32:02,790
1243
+ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ ู‡ุงุทู„ุน ุงู„ z score ู„ู„ุฃูˆู„ู‰ ุฒูŠ
1244
+
1245
+ 312
1246
+ 00:32:02,790 --> 00:32:09,630
1247
+ ู…ุง ุทู„ุนู†ุงู‡ุง ู…ู† ุดูˆูŠุฉ ุงู„ู„ูŠ ุณูˆุช ู‚ุฏุงุด 12% ูˆุทู„ุน ุงู„ z
1248
+
1249
+ 313
1250
+ 00:32:09,630 --> 00:32:16,090
1251
+ score ู„ู…ู†ุŸ ู„ู„ุชุงู†ูŠุฉุงู„ู„ูŠ ู‡ูŠ ุทุจูŠุนูŠุฉ ู‡ุชุณูˆู‰ ุตูุฑ ู…ุด
1252
+
1253
+ 314
1254
+ 00:32:16,090 --> 00:32:20,910
1255
+ ุฏุงูŠู…ุง ููŠ ู‡ุฐู‡ ุงู„ู…ุซู„ุฉ ุจุณ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุนุงูŠุฒ X ุฃูˆ ุนุงูŠุฒ X
1256
+
1257
+ 315
1258
+ 00:32:20,910 --> 00:32:25,670
1259
+ ุฃูƒุจุฑ ู…ู† 18 ูˆ18 ูŠุนุจุฑ ุนู„ู…ูŠู† ู„ูƒู† ู„ูˆ ูƒุงู†ุช ู‚ูŠู…ุฉ ุชุงู†ูŠุฉ
1260
+
1261
+ 316
1262
+ 00:32:25,670 --> 00:32:31,690
1263
+ ุจุงุฎุฏู‡ุง ุงุนู…ู„ูŠู‡ุง ุฃูŠ 18 ุงู„ X ู…ุด ู‡ูŠูƒ ู†ู‚ุต ู…ู† 18 ุนู„ู‰
1264
+
1265
+ 317
1266
+ 00:32:31,690 --> 00:32:43,140
1267
+ Sigma 5 ุชุณูˆู‰ ุตูุฑ ุงู„ู…ุซู„ุฉ ุงุชุญูˆู„ุช ู„ุนูŠุด ุฃู‚ู„ ู…ู† 12ู†ู‚ุต
1268
+
1269
+ 318
1270
+ 00:32:43,140 --> 00:32:51,680
1271
+ ุฃู‚ู„ ู…ู† 0 ุงู„ู€ probability
1272
+
1273
+ 319
1274
+ 00:32:51,680 --> 00:32:56,620
1275
+ of z less than 0.12 ุทู„ุนู†ุงู‡ุง ู…ู† ุดูˆูŠุฉ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ
1276
+
1277
+ 320
1278
+ 00:32:56,620 --> 00:33:03,560
1279
+ ุทู„ุนุช ู…ุนุงูŠุง ุทู„ุนุช
1280
+
1281
+ 321
1282
+ 00:33:03,560 --> 00:33:09,360
1283
+ 5478 5478
1284
+
1285
+ 322
1286
+ 00:33:09,360 --> 00:33:12,140
1287
+ P of z less than 0 ุฅูŠุด ุจุชุณูˆูŠุŸ
1288
+
1289
+ 323
1290
+ 00:33:15,180 --> 00:33:21,640
1291
+ ุงุญุชู…ุงู„ Z ุฃู‚ู„ ู…ู† 0 ุทุจ
1292
+
1293
+ 324
1294
+ 00:33:21,640 --> 00:33:24,980
1295
+ .. ุทุจ ุงุณู…ุน ุงุชุทู„ุน ุนู„ู‰ ุงู„ table ุฌุงู„ ู…ู† ุงู„ุฌูˆุง ูŠุนู†ูŠ
1296
+
1297
+ 325
1298
+ 00:33:24,980 --> 00:33:31,760
1299
+ ู‡ุงูŠ ุงู„ zero ุงูŠุด ุงู„ุฌูˆุง ุจุงู„ุณุงูˆูŠุฉ ูˆ ู…ู† ุบูŠุฑ ุงู„ table
1300
+
1301
+ 326
1302
+ 00:33:31,760 --> 00:33:38,640
1303
+ ุจุนุฑูู‡ ูˆู„ุง ุจุนุฑูู‡ุงุด ุจุนุฑูู‡ุง ุงู„ Z ู‡ุงูŠ ุงู„ Z ุงู„ mean
1304
+
1305
+ 327
1306
+ 00:33:38,640 --> 00:33:43,860
1307
+ ุจุงู„ู†ุต ุจุงู„ zero ุงู„ Z ุฃู‚ู„ ู…ู† Zero ู…ุณุงุญุฉ ู„ูŠู‡ ู…ุด
1308
+
1309
+ 328
1310
+ 00:33:43,860 --> 00:33:49,690
1311
+ ุจุงู„ุณุงูˆูŠุฉู†ุต .. ู…ู† ุบูŠุฑ ุงู„ุชุงุจุน .. ููุชุญ ุงู„ู†ุต .. ู‡ูŠ
1312
+
1313
+ 329
1314
+ 00:33:49,690 --> 00:33:56,810
1315
+ ุงู„ุฌูˆุงุจ ู†ุงุฎุฏ
1316
+
1317
+ 330
1318
+ 00:33:56,810 --> 00:34:05,030
1319
+ ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰ ุซู… ู†ุชูˆู‚ู .. ูุงูƒุชุดู ู…ูุฑูˆุถ X ุจูŠู† 17.4 ูˆ
1320
+
1321
+ 331
1322
+ 00:34:05,030 --> 00:34:05,390
1323
+ 18
1324
+
1325
+ 332
1326
+ 00:34:16,340 --> 00:34:25,020
1327
+ ุจุฏูŠ ุญุฏ ูŠุญู„ู‡ุง ูŠุง ุฏูŠุงุฌูŠ ูˆุงุญุฏุฉ ุชุชูุถู„ ุชุญู„ู‡ุง X between
1328
+
1329
+ 333
1330
+ 00:34:25,020 --> 00:34:34,300
1331
+ 17.4 and 18 ุงู†ุช
1332
+
1333
+ 334
1334
+ 00:34:34,300 --> 00:34:38,600
1335
+ ู„ุงู† ู…ุนุงูƒ ุฎู…ูŠุณ ูˆ ุฌู…ุนุฉุŒ ู…ุธุจูˆุทุŸ ุญุงูˆู„ุŒ ููŠ ุฃุซุฑ ุนู„ู‰
1336
+
1337
+ 335
1338
+ 00:34:38,600 --> 00:34:42,620
1339
+ ุงู„ู…ูˆุถูˆุน ููŠ ุงู„ practice ุชุจุน chapter 6 ุญู„ ุงู„ุฃุซุฑ ุงู„ู„ูŠ
1340
+
1341
+ 336
1342
+ 00:34:42,620 --> 00:34:43,840
1343
+ .. ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุงู„ู…ูˆุถูˆุน ู‡ุฐุง
1344
+
1345
+ 337
1346
+ 00:34:48,530 --> 00:35:03,630
1347
+ ู‡ู„ู‚ูŠุชู‡ุง ู‡ู†ุนุชู…ุฏ ุฏู„ูˆู‚ุช ุนู„ู‰ ู‡ุฐุง ุงู„ุดูŠุก ุงุฐุง
1348
+
1349
+ 338
1350
+ 00:35:03,630 --> 00:35:08,470
1351
+ ูุตู„ุฉ ุงู„ุฃุชู†ูŠู† ูˆุงุญุฏุฉ ุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† ุงู„ุชู…ู†ุชุงุดุฑ
1352
+
1353
+ 339
1354
+ 00:35:08,470 --> 00:35:11,110
1355
+ ุงู„ูƒุจูŠุฑุฉ ู†ู‚ุต ุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† ุงู„ุตุบูŠุฑุฉ ูˆุงุถุญ ุงู„ุฎุทูˆุฉ
1356
+
1357
+ 340
1358
+ 00:35:11,110 --> 00:35:14,550
1359
+ ุงู„ุฃูˆู„ู‰ุŸ ู‡ู„ู‚ูŠุชู‡ุง ู‡ู†ุญูˆู„ ุงู„ู€ X ู„ุฒุงุฏุฉ
1360
+
1361
+ 341
1362
+ 00:35:26,280 --> 00:35:33,900
1363
+ ู…ุง ู‡ูŠ 18 ูŠุนู†ูŠ ุนุฏ ุฅูƒุณ ุจ 18 ุฅู„ู…ูŠู† ุจ 18 ุณูŠุฌู…ุง ุฎู…ุณุฉ
1364
+
1365
+ 342
1366
+ 00:35:33,900 --> 00:35:38,100
1367
+ ุงู„ู„ูŠ
1368
+
1369
+ 343
1370
+ 00:35:38,100 --> 00:35:42,340
1371
+ ุจุนุฏู‡ุง
1372
+
1373
+ 344
1374
+ 00:35:42,340 --> 00:35:51,760
1375
+ negative
1376
+
1377
+ 345
1378
+ 00:35:51,760 --> 00:35:52,620
1379
+ point twelve
1380
+
1381
+ 346
1382
+ 00:36:15,490 --> 00:36:19,730
1383
+ ูƒูˆูŠุณ ุฅุฐุง ุงู†ุตุงุฑ ุงุญุชู…ุงู„ z ุฃู‚ู„ ู…ู† zero ู†ู‚ุต ุงุญุชู…ุงู„ z
1384
+
1385
+ 347
1386
+ 00:36:19,730 --> 00:36:24,890
1387
+ ุฃู‚ู„ ู…ู† negative point twelve ูŠุณุงูˆูŠ z ุฃู‚ู„ ู…ู† zero
1388
+
1389
+ 348
1390
+ 00:36:24,890 --> 00:36:33,000
1391
+ ุดูˆูู†ุง ู…ุด minus ู†ู‚ุตู‡ุงูŠ ุงู„ schedule ู‡ุงูŠ
1392
+
1393
+ 349
1394
+ 00:36:33,000 --> 00:36:42,520
1395
+ ุงู„ negative four
1396
+
1397
+ 350
1398
+ 00:36:42,520 --> 00:36:51,480
1399
+ five five two ุงุชู†ูŠู†
1400
+
1401
+ 351
1402
+ 00:36:51,480 --> 00:36:57,800
1403
+ ุงุชู†ูŠู† ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ
1404
+
1405
+ 352
1406
+ 00:37:06,620 --> 00:37:11,640
1407
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1408
+
1409
+ 353
1410
+ 00:37:11,640 --> 00:37:11,860
1411
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1412
+
1413
+ 354
1414
+ 00:37:11,860 --> 00:37:12,580
1415
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1416
+
1417
+ 355
1418
+ 00:37:12,580 --> 00:37:16,520
1419
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1420
+
1421
+ 356
1422
+ 00:37:16,520 --> 00:37:18,320
1423
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1424
+
1425
+ 357
1426
+ 00:37:18,320 --> 00:37:19,600
1427
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1428
+
1429
+ 358
1430
+ 00:37:19,600 --> 00:37:26,400
1431
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1432
+
1433
+ 359
1434
+ 00:37:26,400 --> 00:37:30,110
1435
+ ู…ุด ู…ุด ู…ุดุชุญูˆู„ุช ู„ู„ู€ z between zero and negative
1436
+
1437
+ 360
1438
+ 00:37:30,110 --> 00:37:37,290
1439
+ point twelve ุงุญุชู…ุงู„ z less than zero one half ูˆู‡ุฐุง
1440
+
1441
+ 361
1442
+ 00:37:37,290 --> 00:37:43,950
1443
+ ุทู„ุนุช ู…ู† ุงูŠู†ุŸ ู…ู† ุงู„ุฌุฏูˆู„ ุทู„ุน ุงู„ุฌูˆุงุจ ู‡ูŠูƒ ุงู„ู„ูŠ ุฃู†ุง ูˆ
1444
+
1445
+ 362
1446
+ 00:37:43,950 --> 00:37:47,450
1447
+ ุฃู†ุง ู…ุงุนุทูŠุชูƒูŠุด ุงู„ .. ุงู„ negative table ุงู„ุฌุฏูˆู„ ุชุจุน
1448
+
1449
+ 363
1450
+ 00:37:47,450 --> 00:37:52,710
1451
+ ุงู„ negative z values ู„ูˆ ุจุณ ุงู„ู…ูˆุฌุจ ู„ุญุธุฉ .. ุงู„ู…ุซู„ุฉ
1452
+
1453
+ 364
1454
+ 00:37:52,710 --> 00:37:56,330
1455
+ ุงู„ู„ูŠ ูุงุชุช ุงู„ู…ุซู„ุฉ
1456
+
1457
+ 365
1458
+ 00:37:56,330 --> 00:38:06,410
1459
+ ุงู„ู„ูŠ ูุงุชุชู„ูˆ ูƒู†ุง ุจู†ุฏูˆุฑ ุนู„ู‰ ุฒูŠุจ 12 ูƒุงู†ุช ุฅูŠู‡ ุงู„ู„ูŠ
1460
+
1461
+ 366
1462
+ 00:38:06,410 --> 00:38:12,390
1463
+ ุดู…ุงู„ุด ุจุชุณุงูˆูŠ ููŠ ุฃูˆู„ example ููŠ ุงู„ example ุงู„ุฃูˆู„
1464
+
1465
+ 367
1466
+ 00:38:12,390 --> 00:38:22,210
1467
+ ุฃูˆู„ ูˆุงุญุฏ ุงุด ุณูˆุช five four seven eight ู…ุธุจูˆุท ู‡ุฐุง ููŠ
1468
+
1469
+ 368
1470
+ 00:38:22,210 --> 00:38:27,650
1471
+ ุงู„ู†ุต five four seven eight ู…ุธุจูˆุท
1472
+
1473
+ 369
1474
+ 00:38:33,220 --> 00:38:39,780
1475
+ 5478 ู…ุธุจูˆุท ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง 5478.112
1476
+
1477
+ 370
1478
+ 00:38:39,780 --> 00:38:48,320
1479
+ 5478 ุงู„ู„ูŠ ุงู†ุง ู…ุด ุนุงูŠุฒู‡ Z less than negative 12
1480
+
1481
+ 371
1482
+ 00:38:48,320 --> 00:38:54,380
1483
+ ุงู„ุงู†
1484
+
1485
+ 372
1486
+ 00:38:54,380 --> 00:39:00,170
1487
+ to the left of Z 0.12 0.5478ุทูŠุจ ุนุงู„ูŠู…ูŠู† ุฅูŠุด
1488
+
1489
+ 373
1490
+ 00:39:00,170 --> 00:39:04,110
1491
+ ู‡ุชุณุงูˆูŠุŸ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ .. ู‡ุฐู‡
1492
+
1493
+ 374
1494
+ 00:39:04,110 --> 00:39:10,530
1495
+ ุงู„ุจูŠุถุฉ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ุฑู‚ู…ุŒ ู…ุธุจูˆุทุŸ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงุญุชู…ุงู„ ุฒูŠ
1496
+
1497
+ 375
1498
+ 00:39:10,530 --> 00:39:12,870
1499
+ ุงู„ุฏู‚ุงู„ ู…ู† ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุฌูˆุงุจ ุฎู…ุณุŒ ุฃุฑุจุนุฉุŒ ุณุจุนุฉุŒ
1500
+
1501
+ 376
1502
+ 00:39:12,870 --> 00:39:17,870
1503
+ ุชู…ุงู†ูŠุฉุŒ ุงู„ู„ูŠ ุนุงู„ูŠู…ูŠู† ูˆุงุญุฏ ู†ุงู‚ุตุŒ ุงู„ู„ูŠ ุจุชุณุงูˆูŠ ู‚ุฏุงุดุฑุŸ
1504
+
1505
+ 377
1506
+ 00:39:17,870 --> 00:39:22,010
1507
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงุชู†ูŠู†ุŒ ุงุชู†ูŠู†ุŒ ู…ุด ู‡ูŠูƒุŸ ูŠุนู†ูŠ ุงุทู„ุนูˆุง
1508
+
1509
+ 378
1510
+ 00:39:22,010 --> 00:39:24,010
1511
+ ุงุญุชู…ุงู„ ุฒูŠ ุฃูƒุจุฑ ู…ู† twelve
1512
+
1513
+ 379
1514
+ 00:39:29,050 --> 00:39:35,050
1515
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงุชู†ูŠู†ุŒ ุงุชู†ูŠู†ุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ุฐุง ุงู„ุฃูƒุจุฑ ู…ู†
1516
+
1517
+ 380
1518
+ 00:39:35,050 --> 00:39:42,590
1519
+ point twelve ุทุจ ุฅูŠุด ุงู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ู…ุŸ
1520
+
1521
+ 381
1522
+ 00:39:42,590 --> 00:39:46,910
1523
+ ุจุงู„ุธุจุท ู„ู…ุง
1524
+
1525
+ 382
1526
+ 00:39:46,910 --> 00:39:52,410
1527
+ ูŠูƒูˆู† ุฏูŠ point twelve ูˆู‡ูŠ ุงู„ area point fourุŒ five,
1528
+
1529
+ 383
1530
+ 00:39:52,510 --> 00:39:56,790
1531
+ two, two ูˆู‡ุฐู‡ negative point twelveุŒ ู‡ุฐูˆู„ ุชู†ุชูŠู†
1532
+
1533
+ 384
1534
+ 00:39:56,790 --> 00:40:02,320
1535
+ ู…ุงู„ู‡ู…ุŸุฒูŠ ู„ูŠุด ุฒูŠ ุจุนุถ because of symmetric
1536
+
1537
+ 385
1538
+ 00:40:02,320 --> 00:40:07,720
1539
+ distribution ู†ูุณ
1540
+
1541
+ 386
1542
+ 00:40:07,720 --> 00:40:11,040
1543
+ ุงู„ู‚ูŠู…ุฉ ุจุณ ูˆุงุญุฏุฉ positive ูˆุงุญุฏุฉ negative ูู‚ู„ุชู„ูŠ ุงู„
1544
+
1545
+ 387
1546
+ 00:40:11,040 --> 00:40:16,180
1547
+ area to the left of negative ุฃูƒูŠุฏ ุฒูŠ ุงู„ู„ูŠ ูุงุชุช ู…ู†
1548
+
1549
+ 388
1550
+ 00:40:16,180 --> 00:40:22,500
1551
+ ู‡ู†ุง ุจุทู„ู‚ ุงู„ table ุฃูˆุฑูŠูƒูŠ yet ูƒู…ุงู† example ุดูˆู
1552
+
1553
+ 389
1554
+ 00:40:22,500 --> 00:40:25,040
1555
+ ุงู†ุช ุดุทุฑุงุช ููŠู‡ ุฎู„ุต ุงู„ูˆุฌุงุช ุจุณ
1556
+
1557
+ 390
1558
+ 00:40:27,450 --> 00:40:34,230
1559
+ ุฅู„ุง ู„ูˆ .. ู„ูˆ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ ุงู„
1560
+
1561
+ 391
1562
+ 00:40:34,230 --> 00:40:41,550
1563
+ list ุฏู‡ negative 2.5 ู…ู† ุบูŠุฑ ุฌุฏูˆู„ุฉ ู„ูˆ ุงุทู„ุนุช ุนู„ู‰ 2.5
1564
+
1565
+ 392
1566
+ 00:40:41,550 --> 00:40:47,330
1567
+ ู‡ุงูŠ
1568
+
1569
+ 393
1570
+ 00:40:47,330 --> 00:40:55,630
1571
+ 2.5 ุงู„ู…ุณุงุญุฉ ุฏู‡ left ุฅูŠุด ุณุงูˆุช 9938
1572
+
1573
+ 394
1574
+ 00:40:55,630 --> 00:41:03,330
1575
+ ู…ุธุจูˆุทู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ู‡ูŠ 9 9 3 8 ุงูŠุด ููŠ ุงู„ ุชู… ู‡ู†ุง ูˆุงุญุฏ
1576
+
1577
+ 395
1578
+ 00:41:03,330 --> 00:41:12,690
1579
+ ู†ุงู‚ุต 0062 ูุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู†ูุณ ุงู„ู„ูŠ ู‡ู†ุง ู„ุฃ
1580
+
1581
+ 396
1582
+ 00:41:12,690 --> 00:41:17,010
1583
+ ู„ูˆ ุฑูˆุญุช ุนู„ู‰ ุงู„ negative ุงุชู†ูŠู† ูˆ ู†ุต ู‡ูŠ ุงุชู†ูŠู† ูˆ ู†ุต
1584
+
1585
+ 397
1586
+ 00:41:17,010 --> 00:41:20,290
1587
+ 0062
1588
+
1589
+ 398
1590
+ 00:41:20,290 --> 00:41:24,070
1591
+ ูˆุงุถุญ ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุทุงู„ุจ negative ุงุช ุงู„ positive
1592
+
1593
+ 399
1594
+ 00:41:24,070 --> 00:41:32,610
1595
+ ุชุจุนู‡ ุงู„ุชูˆ ุจุณ one minusุฅุฐุงู‹ ู‡ูŠ ุงู„ู‚ุงุนุฏุฉ ุงู„ุฑุงุจุนุฉ ุจูŠุจ
1596
+
1597
+ 400
1598
+ 00:41:32,610 --> 00:41:40,370
1599
+ ุฒูŠ less than ุจูŠุจ ุฃูˆ
1600
+
1601
+ 401
1602
+ 00:41:40,370 --> 00:41:48,190
1603
+ ุฎู„ูŠู‡ุง greater than ุจูŠุจ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุง ุจุชุณุงูˆูŠ
1604
+
1605
+ 402
1606
+ 00:41:48,190 --> 00:41:51,430
1607
+ ุฎู„ุงุต
1608
+
1609
+ 403
1610
+ 00:41:51,430 --> 00:41:59,050
1611
+ ุงุญุชู…ุงู„ ุฒูŠ ุฃูƒุจุฑ ู…ู† ุจูŠุจ ู‡ูŠ ู†ูุณ ุฒูŠ ุฃู‚ู„ ู…ู† ุณู„ุจ ุจูŠุจู…ุฑุฉ
1612
+
1613
+ 404
1614
+ 00:41:59,050 --> 00:42:05,170
1615
+ ุชุงู†ูŠุฉ ู‡ุงูŠ ุงู„ูƒูŠุฑู… ูˆู‡ูŠ ุจูŠู‡ ูˆู‡ูŠ ุณุงู„ุจ ุจูŠู‡ ู†ูุณ ุงู„ู‚ูŠู…ุฉ
1616
+
1617
+ 405
1618
+ 00:42:05,170 --> 00:42:10,730
1619
+ ู‡ุฏูˆู„ ู…ุงู„ู‡ู… ู…ุชุณุงูˆูŠุฉ ุฎู„ุงุต next time ุงู† ุดุงุก ุงู„ู„ู‡
1620
+
1621
+ 406
1622
+ 00:42:10,730 --> 00:42:11,110
1623
+ continue
1624
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/QnlzuFKkbgU_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/QnlzuFKkbgU_raw.srt ADDED
@@ -0,0 +1,1676 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,820 --> 00:00:25,160
3
+ ุจุงุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ูƒู…ู„
4
+
5
+ 2
6
+ 00:00:25,160 --> 00:00:35,700
7
+ ุงู„ุญู„ู‚ุฉ ุงู„ุณุงุฏุณุฉ ุนุฑุถ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุณุฃุจุฏุฃ ุจูƒูŠู ูŠู…ูƒู†ู†ุง
8
+
9
+ 3
10
+ 00:00:35,700 --> 00:00:40,420
11
+ ุงุณุชุฎุฏุงู… ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ู…ู‚ุนุฏ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ
12
+
13
+ 4
14
+ 00:00:40,420 --> 00:00:48,880
15
+ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ ุนุดูˆุงุฆูŠ
16
+
17
+ 5
18
+ 00:00:56,140 --> 00:01:04,080
19
+ ุงู„ุณุคุงู„ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุฎุทูŠุท ู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช ุฅุฐุง ูƒุงู†ุช
20
+
21
+ 6
22
+ 00:01:04,080 --> 00:01:12,420
23
+ ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠ ูƒูŠู ู…ู…ูƒู† ู†ุญุณุจ ุงู„ูˆุงู‚ุนุงุช ููŠ ุงู„ุจูŠุงู†ุงุช
24
+
25
+ 7
26
+ 00:01:12,420 --> 00:01:18,940
27
+ ุงู„ูˆุงู‚ุนุงุช ูŠุนู†ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงุญุชู…ุงู„ ู…ุนู†ุงู‡ ููŠ ุงู„ุญุตุฉ ุงู†
28
+
29
+ 8
30
+ 00:01:18,940 --> 00:01:21,200
31
+ ุงู„ู…ู†ุทู‚ุฉ ุชุญุช ุงู„ู…ุฎุทุท
32
+
33
+ 9
34
+ 00:01:23,840 --> 00:01:27,980
35
+ we are going to use the standardized normal table
36
+
37
+ 10
38
+ 00:01:27,980 --> 00:01:31,320
39
+ it's located at the end of your book ู„ูˆ ุทู„ุนุช ุนู„ู‰
40
+
41
+ 11
42
+ 00:01:31,320 --> 00:01:41,180
43
+ ุงู„ูƒุชุงุจ ููŠ ุงู„ุขุฎุฑ ููŠ ุนู†ุฏู†ุง table ุฃูˆุฑูŠูƒูŠุง ููŠ ุงู„ุขุฎุฑ
44
+
45
+ 12
46
+ 00:01:41,180 --> 00:01:42,940
47
+ ุฎุงู„ุต ูŠุนู†ูŠ ููŠ tables
48
+
49
+ 13
50
+ 00:01:50,580 --> 00:01:53,740
51
+ ูŠุงุฑูŠุช ุงู„ูƒู„ ูŠูุชุญ ุนู„ู‰ ุงู„ุชุงุจุฑ ููŠ ู†ู‡ุงูŠุฉ ุงู„ูƒุชุงุจุŒ ุฃูŠ
52
+
53
+ 14
54
+ 00:01:53,740 --> 00:01:59,600
55
+ ุตูุญุฉ ุจุฏูˆุฑ ุนู„ูŠู‡ุŸ ู…ูŠุชูŠู† ุชุณุนุฉ ูˆ ุณุจุนูŠู† ู…ูŠุชูŠู† ุชุณุนุฉ ูˆ
56
+
57
+ 15
58
+ 00:01:59,600 --> 00:02:12,900
59
+ ุณุจุนูŠู† ุฅุฐุง
60
+
61
+ 16
62
+ 00:02:12,900 --> 00:02:14,100
63
+ ู‡ูŠ ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูƒ
64
+
65
+ 17
66
+ 00:02:22,470 --> 00:02:27,630
67
+ ุฎู„ุงุต ุงู„ูƒู„ ูุงุชุญ ุนุงู… 1979 this
68
+
69
+ 18
70
+ 00:02:27,630 --> 00:02:32,830
71
+ table gives the area to the left of z ุจูŠุนุทูŠ ุฏุง
72
+
73
+ 19
74
+ 00:02:32,830 --> 00:02:41,770
75
+ ุงู„ู…ุณุงุญุฉ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงุฐุง ุงู„ table provides the
76
+
77
+ 20
78
+ 00:02:41,770 --> 00:02:47,270
79
+ probability to
80
+
81
+ 21
82
+ 00:02:47,270 --> 00:02:55,780
83
+ the left of z valueุงู„ุฃู† ู…ุงุฐุง ูŠุนู†ูŠ ู‚ูŠู…ุฉ zุŸ ูŠุนู†ูŠ ุฅุฐุง
84
+
85
+ 22
86
+ 00:02:55,780 --> 00:03:02,320
87
+ ูƒุงู† ู„ุฏูŠู†ุง x ู…ุณุชุนู…ู„ ุจุดูƒู„
88
+
89
+ 23
90
+ 00:03:02,320 --> 00:03:06,760
91
+ ุนุงู… ุจู…ุนู†ู‰
92
+
93
+ 24
94
+ 00:03:06,760 --> 00:03:19,060
95
+ ู…ูŠูˆ ูˆู…ุนู†ู‰ ุณูŠุฌู…ุง ุซู…
96
+
97
+ 25
98
+ 00:03:19,060 --> 00:03:25,670
99
+ ูƒูŠู ู†ุฌุฏ zุŸX ุนุงู…ุฉ ูŠุนู†ูŠ ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู† ู…ูŠูˆู†
100
+
101
+ 26
102
+ 00:03:25,670 --> 00:03:28,390
103
+ ู…ูŠูˆู† ู…ูŠูˆู† ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
104
+
105
+ 27
106
+ 00:03:28,390 --> 00:03:34,250
107
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
108
+
109
+ 28
110
+ 00:03:34,250 --> 00:03:34,290
111
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
112
+
113
+ 29
114
+ 00:03:34,290 --> 00:03:34,350
115
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
116
+
117
+ 30
118
+ 00:03:34,350 --> 00:03:34,350
119
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
120
+
121
+ 31
122
+ 00:03:34,350 --> 00:03:36,010
123
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
124
+
125
+ 32
126
+ 00:03:36,010 --> 00:03:50,770
127
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…
128
+
129
+ 33
130
+ 00:03:51,790 --> 00:03:54,930
131
+ ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุงู„ุทุงุจู‚ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ูŠู…ู†ุญ ุงู„ู…ู†ุทู‚ุฉ ุฃูˆ
132
+
133
+ 34
134
+ 00:03:54,930 --> 00:04:01,050
135
+ ูŠู…ู†ุญ ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† ุงู„ู€ z-score ุฅุฐุง ูƒู†ุง
136
+
137
+ 35
138
+ 00:04:01,050 --> 00:04:07,910
139
+ ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ุทุงุจู‚ุŒ ุงู„ุทุงุจู‚ ูŠุจุฏุฃ ุจู€-3.4 ุซู… ู†ุญู†
140
+
141
+ 36
142
+ 00:04:07,910 --> 00:04:12,270
143
+ ู„ุฏูŠู†ุง ู†ู‚ู„ 3.3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒุŒ ู„ุฐู„ูƒ ู„ู„ุฑู‚ู…ูŠู†ุŒ ู„ุฏูŠู†ุง z
144
+
145
+ 37
146
+ 00:04:12,270 --> 00:04:18,670
147
+ -score ู„ู…ูƒุงู†ูŠู† ู…ุญุฏุฏุฉ ูˆุงุญุฏุฉ ุจุณ ู„ุนู„ุงู…ุฉ ุนุดุฑูŠุฉ ูˆุงุญุฏุฉุŒ
148
+
149
+ 38
150
+ 00:04:18,670 --> 00:04:25,630
151
+ ุชู„ุงุญุธุŸ negative 3.4-3.3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ูˆุงุถุญ ุฃู†ู†ุง ู†ุฃุฎุฐ
152
+
153
+ 39
154
+ 00:04:25,630 --> 00:04:28,830
155
+ ุนู„ุงู…ุฉ ุนุดุฑูŠุฉ ูˆุงุญุฏุฉ ููŠู† ุงู„ู€ second decimal places
156
+
157
+ 40
158
+ 00:04:28,830 --> 00:04:33,750
159
+ ู…ูˆุฌูˆุฏุฉ ูˆูŠู† ููŠ ุงู„ columns ู‡ุงูŠ ุงู„ columns ุจุชู…ุซู„ ุงู„
160
+
161
+ 41
162
+ 00:04:33,750 --> 00:04:36,650
163
+ second decimal places ุงู„ุนู„ุงู…ุฉ ุงู„ุนุดุฑูŠุฉ ุงู„ุชุงู†ูŠุฉ ููŠ
164
+
165
+ 42
166
+ 00:04:36,650 --> 00:04:43,370
167
+ ุงู„ุนู…ุฏุฉ ูŠุนู†ูŠ ู„ูˆ .. ู„ูˆ ุนุงูŠุฒ ุงู„ probability of z less
168
+
169
+ 43
170
+ 00:04:43,370 --> 00:04:45,470
171
+ than negative 3.3
172
+
173
+ 44
174
+ 00:04:48,020 --> 00:04:51,480
175
+ ุงู„ุงู† ู„ุฏูŠู†ุง ู…ู‚ุงุฑู†ุฉ ุฒูŠ ุฐู„ูƒ ุจุงู„ูุนู„ ู„ุฐู„ูƒ ุงู‚ูˆู… ุจุงู‚ูŠู…ุฉ
176
+
177
+ 45
178
+ 00:04:51,480 --> 00:04:57,100
179
+ ุงู„ู€-3.3 ู‡ุฐุง ู‡ูˆ ุงู„ู€-3.3 ุงู„ุขู† ู…ุงู‡ูˆ ุงู„ู…ูƒุงู† ุงู„ุซุงู†ูŠ
180
+
181
+ 46
182
+ 00:04:57,100 --> 00:05:04,220
183
+ ุจุงู„ู…ู‚ุงุฑู†ุฉุŸ ู„ู…ุง ุจุญูƒูŠ negative 3.3 ู…ุด ู…ู…ูƒู† ุงูƒุชุจ
184
+
185
+ 47
186
+ 00:05:04,220 --> 00:05:08,720
187
+ ุจู‡ุงูŠูƒ negative 3.30 ู…ุน ูƒุฏู‡ ุงู„ second ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ
188
+
189
+ 48
190
+ 00:05:08,720 --> 00:05:15,910
191
+ ุงู„ decimal ุนุจุงุฑุฉ ุนู† ๏ฟฝ๏ฟฝูŠุฑูˆ ู…ุธุจูˆุท ู„ู…ุง ุจูƒุชุจ ู†ู‚ุต 3.3ู…ุด
192
+
193
+ 49
194
+ 00:05:15,910 --> 00:05:21,830
195
+ ู…ู…ูƒู† ุงูƒุชุจู‡ ู†ุงู‚ุต 3.30ุŸ ูŠุนู†ูŠ ู†ุงู‚ุต 3.3 ู…ุนู†ุงู‡ ู†ุงู‚ุต 3
196
+
197
+ 50
198
+ 00:05:21,830 --> 00:05:32,530
199
+ .30 now what's the value under negative 3.3ุŸ
200
+
201
+ 51
202
+ 00:05:32,530 --> 00:05:38,030
203
+ ุทู„ุน ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ุนุงูƒ ุงูุชุญ ุงู„ุฌุฏูˆู„ ููŠ ุงู„ุขุฎุฑ ููŠ ูƒุชุงุจ
204
+
205
+ 52
206
+ 00:05:38,030 --> 00:05:42,830
207
+ ููŠ table ุทู„ุน ุนู„ูŠู‡ ู†ุงู‚ุต 3.3 ูƒุฏู‡ ุชุญุช ุงู„ุตูุฑุŸ
208
+
209
+ 53
210
+ 00:05:45,580 --> 00:05:52,240
211
+ 0,0,5ุŒ 3,0,5 ุดูุชูˆุง
212
+
213
+ 54
214
+ 00:05:52,240 --> 00:05:55,380
215
+ ุงู„ุฎู…ุณุฉ ู„ุชุงุฆู„ ู…ู‚ุงุจู„ ุชู„ุงุชุฉ point ุชู„ุงุชุฉ ุชุญุช ุงู„ zero
216
+
217
+ 55
218
+ 00:05:55,380 --> 00:06:01,640
219
+ ุทุจ ู„ูˆ ู…ุด ุนุงูŠุฒ ุชู„ุงุชุฉ point ุชู„ุงุชุฉ negative three
220
+
221
+ 56
222
+ 00:06:01,640 --> 00:06:06,400
223
+ point three six one decimal place three point
224
+
225
+ 57
226
+ 00:06:06,400 --> 00:06:12,420
227
+ three ู‡ูŠ ูˆ ุงู†ุง ู‡ู…ุดูŠ second decimal ุณุชุฉ ุจู…ุดูŠ ุนู„ู‰ ุงู„
228
+
229
+ 58
230
+ 00:06:12,420 --> 00:06:12,680
231
+ six
232
+
233
+ 59
234
+ 00:06:15,990 --> 00:06:25,630
235
+ ู„ูŠู‡ ู‡ุฐุง ู…ุธุจูˆุทุŸ ุฅูŠุด ุงู„ุฌูˆุงุจ ุจุชุทู„ุนุŸ ู…ุนุงูƒ
236
+
237
+ 60
238
+ 00:06:25,630 --> 00:06:33,350
239
+ ูƒุชุงุจูƒ ู…ุธุจูˆุทุŸ ุทู„ุน ุงู„ูƒุชุงุจ 0.0004
240
+
241
+ 61
242
+ 00:06:33,350 --> 00:06:43,850
243
+ Z less than negative 2.43 ุทู„ุน
244
+
245
+ 62
246
+ 00:06:43,850 --> 00:06:52,150
247
+ ุงู„ูƒุชุงุจ ุงู„ู„ูŠ ู…ุนุงูƒ-2.4 ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
248
+
249
+ 63
250
+ 00:06:52,150 --> 00:06:57,870
251
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
252
+
253
+ 64
254
+ 00:06:57,870 --> 00:07:01,410
255
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
256
+
257
+ 65
258
+ 00:07:01,410 --> 00:07:01,410
259
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
260
+
261
+ 66
262
+ 00:07:01,410 --> 00:07:01,430
263
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
264
+
265
+ 67
266
+ 00:07:01,430 --> 00:07:01,430
267
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
268
+
269
+ 68
270
+ 00:07:01,430 --> 00:07:01,450
271
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
272
+
273
+ 69
274
+ 00:07:01,450 --> 00:07:01,550
275
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
276
+
277
+ 70
278
+ 00:07:15,540 --> 00:07:22,600
279
+ ูˆุงุตู„ ู„ุบุงูŠุฉ ูˆูŠู†ุŸ zero ุงู„ุงู†
280
+
281
+ 71
282
+ 00:07:22,600 --> 00:07:28,920
283
+ ุนู†ุฏ ุงู„ zero ุฅูŠุด ุงู„ุฌูˆุงุจ ู…ูˆุฌูˆุฏุŸ
284
+
285
+ 72
286
+ 00:07:28,920 --> 00:07:32,460
287
+ ุทู„ุน .. ุจุงู„ู„ู‡ ุทู„ุน ุฌูŠุจ ุณูŠูƒ ููŠ ุงู„ุดุงุดุฉ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุนุงูƒ
288
+
289
+ 73
290
+ 00:07:32,460 --> 00:07:39,500
291
+ ุงู„ูƒุชุงุจ ุงู„ zero ุชุญุช ุงู„ zero ุฒูŠ ุฃู‚ู„ ู…ู† zero ุฅูŠุด
292
+
293
+ 74
294
+ 00:07:39,500 --> 00:07:43,320
295
+ ุจุชุณูˆูŠุŸ point five ู…ุด ู‡ูŠูƒุŸ
296
+
297
+ 75
298
+ 00:07:47,000 --> 00:07:58,160
299
+ ู‡ู„ ู‡ุฐุง ุงู„ุฅุฌุงุจุฉ ู…ู†ุทู‚ูŠ ุจุงู„ู†ุณุจุงู„ูƒุŸ ู„ุฃ ุฃุญุณู† ู„ุฃู†
300
+
301
+ 76
302
+ 00:07:58,160 --> 00:08:04,160
303
+ ู‡ุงูŠ ุงู„ู€ zero ุงู„ Z ู„ู‡ normal with mean zero ู…ุด ู‡ูŠูƒุŸ
304
+
305
+ 77
306
+ 00:08:04,160 --> 00:08:08,700
307
+ ุญูƒูŠู†ุงู‡ุง ู…ุฑุฉ ูุงุชุฑุฉ Z score ู„ู‡ mean equal zero sigma
308
+
309
+ 78
310
+ 00:08:08,700 --> 00:08:13,780
311
+ one ู…ุธู„ูˆูƒุŸุงู„ู„ูŠ ู„ู…ุง ุจุญูƒูŠ ุงุญุชู…ุงู„ุฒ ู‡ูŠ ุงู‚ู„ ู…ู† zero
312
+
313
+ 79
314
+ 00:08:13,780 --> 00:08:18,220
315
+ ุงู„ู…ุณุงุญุฉ ุฏูŠ ูƒู„ู‡ุง ุงู„ area ูƒู„ู‡ุง ุฅูŠุด ุจุชุณุงูˆูŠ ุฃุญูƒูŠู‡ุง
316
+
317
+ 80
318
+ 00:08:18,220 --> 00:08:20,700
319
+ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ ุงู„ area underneath the normal curve
320
+
321
+ 81
322
+ 00:08:20,700 --> 00:08:27,860
323
+ equals one ุฅุฐุง ูƒู„ู‡ุง ูˆุงุญุฏ ูˆ ู‡ุฐุง ุงู„ mean ูˆ ู‡ุฐุง ุงู„
324
+
325
+ 82
326
+ 00:08:27,860 --> 00:08:33,320
327
+ mean ููŠ ุงู„ู†ุต ูˆ ูƒู„ู‡ุง ูˆุงุญุฏ ู†ุต ู†ุต ูุจุงู„ุชุงู„ูŠ ุงู†ุง one
328
+
329
+ 83
330
+ 00:08:33,320 --> 00:08:38,380
331
+ half ูˆ ู‡ุฐู‡ one half ูุจุงู„ุชุงู„ูŠ ู„ู…ุง ูŠุทู„ุน ู†ุต ุฃูƒูŠุฏ ูŠุฌูŠุจ
332
+
333
+ 84
334
+ 00:08:38,380 --> 00:08:45,960
335
+ ุตุญ ู†ุดู†ุช ูู„ุณูุฉ ูƒุชูŠุฑุฃูŠู‡ ุงู„ุตูุฑ ุจุตูุฑ ู†ุตู ูุงู„ table
336
+
337
+ 85
338
+ 00:08:45,960 --> 00:08:50,200
339
+ ุงู„ู„ูŠ ุนู†ุฏูƒ ุชุจุน ุงู„ negative z ุงู„ probabilities ู…ู†
340
+
341
+ 86
342
+ 00:08:50,200 --> 00:08:59,380
343
+ zero ู„ุบุงูŠุฉ ู†ุต ู…ู†ุทู‚ูŠุงูƒ ุงู„ุตูุญู‡ ุงู„ุชุงู†ูŠุฉ ุจูŠุจุฏุฃ
344
+
345
+ 87
346
+ 00:08:59,380 --> 00:09:05,620
347
+ ู…ู† ูˆูŠู† ู…ู† zero ุทูŠุจ ุจูŠุงุฎุฏ ูŠุนู†ูŠ ุงู„ positive z scores
348
+
349
+ 88
350
+ 00:09:05,620 --> 00:09:09,100
351
+ ุทุจ ุฎุฏ ู…ุน ุงู„ positive ุงุนุทูŠูƒูŠ ุดูˆูŠุฉ ุฃู…ุซู„ุฉ
352
+
353
+ 89
354
+ 00:09:11,960 --> 00:09:19,160
355
+ ู„ูˆ ุนุงูŠุฒ ุงุญุชู…ุงู„ Z ุฃู‚ู„ ู…ู† 1.56 ุจุฏูŠ
356
+
357
+ 90
358
+ 00:09:19,160 --> 00:09:23,460
359
+ ูˆุงุญุฏุฉ ุชุทู„ุน ูˆ ุชูˆุฑูŠู†ูŠู‡ุง ุนู„ู‰ ุงู„ุดุงุดุฉ ูˆุงุญุฏุฉ ุชุทู„ุน ูˆ
360
+
361
+ 91
362
+ 00:09:23,460 --> 00:09:27,020
363
+ ุชูˆุฑูŠู†ูŠู‡ุง ุนู„ู‰ ุงู„ุดุงุดุฉ ุจุฏูŠ ุฃุจุทู„ ุฃุดุฑุญ ุงู„ุฏู‚ุงุก ู‡ุฐุง ูˆ
364
+
365
+ 92
366
+ 00:09:27,020 --> 00:09:32,560
367
+ ุงู„ุฅุฌุงุจุฉ ุฎู„ูŠูƒู… ุฃุบู„ุจูƒู… ูˆ ุฃู†ุชู… ุชุดุฑุญูˆุง ู…ุงููŠ ูƒู„ุงู… ุชุงู†ูŠ
368
+
369
+ 93
370
+ 00:09:32,560 --> 00:09:33,400
371
+ ู‡ู†ุง ุฎุฏูŠ ู‡ุฐุง
372
+
373
+ 94
374
+ 00:09:54,620 --> 00:09:57,820
375
+ ุฎู„ุงุต ุงูƒุชุจ ุงู„ุฌูˆุงุจ ู‡ู†ุง ุงูƒุชุจ ุงู„ุฌูˆุงุจ
376
+
377
+ 95
378
+ 00:10:13,230 --> 00:10:26,690
379
+ -1.5 ุชุญุช ุงู„ 6 9406 ุจุณ ููŠู‡ ุงู„ point ุจุณ ุจุณ
380
+
381
+ 96
382
+ 00:10:26,690 --> 00:10:26,930
383
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
384
+
385
+ 97
386
+ 00:10:26,930 --> 00:10:27,470
387
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
388
+
389
+ 98
390
+ 00:10:27,470 --> 00:10:27,550
391
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
392
+
393
+ 99
394
+ 00:10:27,550 --> 00:10:27,890
395
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
396
+
397
+ 100
398
+ 00:10:27,890 --> 00:10:27,890
399
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ
400
+
401
+ 101
402
+ 00:10:27,890 --> 00:10:31,270
403
+ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจุณ ุจ
404
+
405
+ 102
406
+ 00:10:33,010 --> 00:10:41,190
407
+ ุงู„ุฌุฏูˆู„ ุงู„ุจุฏุก ู…ู† 0 ู„ุบุงูŠุฉ ุฃูŠู†ุŸ ู„ู€ 3.4 ุฅูŠุด ุงู„ุฌูˆุงุจ
408
+
409
+ 103
410
+ 00:10:41,190 --> 00:10:50,110
411
+ ุงู„ุณุงูˆูŠุŸ ุชุญุช ุงู„ู€ 0 9997 ุฎู„ู‘ูŠู†ูŠ
412
+
413
+ 104
414
+ 00:10:50,110 --> 00:10:58,810
415
+ ุฃูƒู…ู„ ุทุจ ุฅูŠุด ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู„ู„ู€ ZุŸ 3.4 ุชุญุช ู…ูŠู†ุŸ ุชุญุช
416
+
417
+ 105
418
+ 00:10:58,810 --> 00:11:06,850
419
+ ุงู„ุชุณุนุฉู…ุธุจูˆุทุŸ ุทูŠุจ ุงุญุชู…ุงู„ B of Z less than 3.49 ุงูŠุด
420
+
421
+ 106
422
+ 00:11:06,850 --> 00:11:14,170
423
+ ุณูˆุชุŸ ุงุฎุฑ ูˆุงุญุฏุฉ 9998 ู…ุน ูƒุฏู‡ ุทู„ุนุช ุนู„ู‰ ุงู„ two tables
424
+
425
+ 107
426
+ 00:11:14,170 --> 00:11:18,930
427
+ ุงู„ุฃูˆู„ ู…ู† zero ู„ุบุงูŠุฉ ู†ุต ูˆู‡ุฐุง ู…ู† ู†ุต ู„ุบุงูŠุฉ ุชู‚ุฑูŠุจุง
428
+
429
+ 108
430
+ 00:11:18,930 --> 00:11:26,490
431
+ ูˆูŠู†ุŸ ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ุงู†ุง ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ุฑุณู…ุฉ ู‡ุฐู‡ ุจุชุงุนุฉ
432
+
433
+ 109
434
+ 00:11:26,490 --> 00:11:27,230
435
+ ุงู„ positive Z
436
+
437
+ 110
438
+ 00:11:32,510 --> 00:11:39,170
439
+ ูˆู‡ูŠ 3.49 ุงู„ area to the left ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุด ู‡ูŠูƒ
440
+
441
+ 111
442
+ 00:11:39,170 --> 00:11:51,790
443
+ ุงูŠุด ุณูˆุช ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ุทู„ุนู†ุง ุชุญุช 998 ู…ุธุจูˆุท ู„ูˆ ูƒุจุฑุชู‡ุง
444
+
445
+ 112
446
+ 00:11:51,790 --> 00:12:00,630
447
+ ุดูˆูŠุฉ ูŠุนู†ูŠ ู…ุด 3.49 ุฃุฎุฏู†ุงู‡ุง ุฒูŠ less than 4.65 ุงู„ 4.6
448
+
449
+ 113
450
+ 00:12:00,630 --> 00:12:04,690
451
+ ู…ุด ู…ูˆุฌูˆุฏุฉุจุณ ุฃู†ุง ู„ูˆ ุฏุฎู„ุช to the right ู…ุดูŠุช ู„ุฌูˆู‡ ุนู„ู‰
452
+
453
+ 114
454
+ 00:12:04,690 --> 00:12:11,050
455
+ ุงู„ูŠู…ูŠู† ู…ุงุดูŠู†ุง ู‡ู†ุง 4
456
+
457
+ 115
458
+ 00:12:11,050 --> 00:12:15,250
459
+ .65 ูˆ ุจุฏู‘ูŠ ุงู„ู…ุณุงุญุฉ to the left ู…ุด ู‡ุถูŠูู‡ุง ุฏู…ุงุญู‡ุง
460
+
461
+ 116
462
+ 00:12:15,250 --> 00:12:20,170
463
+ ุญุตูŠู‡ุง ุชู‚ุฑูŠุจุง ุฅูŠุดุŸ ูˆุงุญุฏ ููŠ ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ
464
+
465
+ 117
466
+ 00:12:20,170 --> 00:12:26,150
467
+ ุงู„ุฌุฏูˆู„ ู…ุนู†ุงู‡ ุฌูˆุงุจ ู…ุงู„ู‡ close to one ู„ุฃู†ู‡ุง ู…ุด
468
+
469
+ 118
470
+ 00:12:26,150 --> 00:12:29,650
471
+ ู…ูˆุฌูˆุฏุฉ ููƒู„ ู…ุง ุงุฏุฎู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุงู„ู…ุณุงุญุฉ ุนุงู…ุฉ ุจุชู‚ุชุฑุจ
472
+
473
+ 119
474
+ 00:12:29,650 --> 00:12:33,750
475
+ ู…ู† ูˆุงุญุฏุทุจ ู†ูุณ ุงู„ุดูŠุก ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ negative ุฒู‰ุŸ
476
+
477
+ 120
478
+ 00:12:33,750 --> 00:12:37,110
479
+ ุงู„ู„ู‰ ู…ูˆุฌูˆุฏ ุนู†ุฏู‰ ู„ุบุงูŠุฉ ูˆูŠู†ุŸ negative three point
480
+
481
+ 121
482
+ 00:12:37,110 --> 00:12:42,650
483
+ zero ู…ุธุจูˆุท ูˆ ุชุณุนุฉ ููŠ ุงู„ุขุฎุฑ ูŠุนู†ูŠ ุจุชุงุน ุงู„ negative
484
+
485
+ 122
486
+ 00:12:42,650 --> 00:12:47,870
487
+ ู‡ูŠู‡ ุฃุฎุฑ ู‚ูŠู…ุฉ ุฎุงู„ุต ู‡ูŠ negative three point four
488
+
489
+ 123
490
+ 00:12:47,870 --> 00:12:51,610
491
+ nine ุฅูŠุด ุงู„ area to the leftุŸ zero zero zero zero
492
+
493
+ 124
494
+ 00:12:51,610 --> 00:12:54,950
495
+ ุงุชู†ูŠู† ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู‡ูŠูƒ ุงู„ area
496
+
497
+ 125
498
+ 00:12:54,950 --> 00:13:00,780
499
+ probability point zero zero zero ุงุชู†ูŠู†ู„ูˆ ุนุงูŠุฒ ุฃู‚ู„
500
+
501
+ 126
502
+ 00:13:00,780 --> 00:13:09,500
503
+ ู…ู†ู‡ุง ูŠุนู†ูŠ ู‡ุฐุง ุงุญุชู…ุงู„ z ุฃู‚ู„ ู…ู† negative 3.49 ุงู„ุฌูˆุงุจ
504
+
505
+ 127
506
+ 00:13:09,500 --> 00:13:16,660
507
+ 0002 ู„ูˆ ุนุงูŠุฒ ุฃุตุบุฑ ู…ู†ู‡ุง ูŠุนู†ูŠ ุนุงูŠุฒ ู…ุด negative 3.49
508
+
509
+ 128
510
+ 00:13:16,660 --> 00:13:20,540
511
+ suppose we are interested in b of z less than
512
+
513
+ 129
514
+ 00:13:20,540 --> 00:13:28,660
515
+ negative 4.8 4.8 ุจุงู„ุนุฑุจูŠ ู‡ูŠูƒ negative 4.8 ูˆูŠู† ุฌุงูŠุฉ
516
+
517
+ 130
518
+ 00:13:29,640 --> 00:13:34,520
519
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุฃูƒุชุฑ ู…ุธุจูˆุท ู‡ูŠ negative 4.8 ู„ุฃู† ุงู„ู…ุณุงุญุฉ
520
+
521
+ 131
522
+ 00:13:34,520 --> 00:13:39,100
523
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ู…ุด ู…ุชุณุงูˆูŠ ุฃุตุบุฑ ู…ู† ุงู„ู„ูŠ ูุงุชุช ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง
524
+
525
+ 132
526
+ 00:13:39,100 --> 00:13:45,400
527
+ zero ุฅุฐุง ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ negative zero ุฃูŠ
528
+
529
+ 133
530
+ 00:13:45,400 --> 00:13:48,600
531
+ ู‚ูŠู…ุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ positive ุฃูƒุชุฑ ู…ู† 3.4 ุชุนุชุจุฑ
532
+
533
+ 134
534
+ 00:13:48,600 --> 00:13:56,120
535
+ ูˆุงุญุฏ ุฎู„ุงุต ุทูŠุจ ุฎู„ูŠู†ูŠ ุฃุฑุฌุน ู„ู„ slide ุชุงู†ูŠ ููŠ ุฃูŠ ุณุคุงู„
536
+
537
+ 135
538
+ 00:13:56,120 --> 00:14:00,130
539
+ ููŠ ุงู„ุฃูˆู„ุงู„ูƒู„ู…ุชูŠู† ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ุง ู…ู‡ู…ุงุช ุฌุฏุง ู…ุน
540
+
541
+ 136
542
+ 00:14:00,130 --> 00:14:04,790
543
+ ุงู„ู…ู…ุงุฑุณุฉ ุชุนู…ู„ ุงู„ practice ุฃูƒุชุฑ ุทุจุนุง ุงู„ practice ููŠ
544
+
545
+ 137
546
+ 00:14:04,790 --> 00:14:12,410
547
+ ุนู†ุฏูƒ practice ู„ู„ chapter ู…ูˆุฌูˆุฏ ููŠ ู†ุงูŠุฉ ุงู„ูƒุชุงุจ ุฎู„ู‘ูŠ
548
+
549
+ 138
550
+ 00:14:12,410 --> 00:14:18,330
551
+ ุจุงู„ูƒ ู…ุนุงูƒ ุฎู„ู‘ูŠ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุงู„ู„ูŠ
552
+
553
+ 139
554
+ 00:14:18,330 --> 00:14:24,070
555
+ ุฃู†ุง ุนุงูŠุฒู‡ ู…ู†ูƒ ุชู†ุชุจู‡ ุจุณ ูˆุงูุชุญ ุงู„ูƒุชุงุจ ุนู„ู‰ ุงู„ุฃุฎุฑ ุนู„ู‰
556
+
557
+ 140
558
+ 00:14:24,070 --> 00:14:28,360
559
+ ุงู„ุฃุฎุฑ ุตูุญุฉ ุงู„ู„ูŠ ููŠู‡ุง ุงู„ tableุจุณ ุณูŠุจูƒ ุฎู„ูŠูƒูŠ ุนู„ู‰ ุงู„
560
+
561
+ 141
562
+ 00:14:28,360 --> 00:14:33,160
563
+ table ุงู„ูŠูˆู… ุฎู„ูŠูƒูŠ ุนู„ู‰ ุงู„ table
564
+
565
+ 142
566
+ 00:14:33,160 --> 00:14:38,280
567
+ ุงู„ู„ูŠ ุฃู†ุง ุจู†ุตุญูƒ ุชุญุงูˆู„ูŠ ุชุตูˆุฑ ุงู„ tables ู‡ุฏูˆู„ ุฎู„ูŠู‡ู…
568
+
569
+ 143
570
+ 00:14:38,280 --> 00:14:42,020
571
+ ู…ุนุงูƒ ุทุจุนุง ููŠ ุงู„ุงู…ุชุญุงู† ุฃู†ุง ุจุนุทูŠูƒูŠ ุงู„ tables ูŠุนู†ูŠ
572
+
573
+ 144
574
+ 00:14:42,020 --> 00:14:46,880
575
+ ุงู…ุชุญุงู† ุงู„ tables ุจุจุนุฏูŠูƒูŠู‡ู… ู„ูˆ ุชุทู„ุน ุนู„ู‰ ุงู„ example
576
+
577
+ 145
578
+ 00:14:46,880 --> 00:14:50,060
579
+ ุงู„ู„ูŠ ู‡ู†ุง P of Z less than 2
580
+
581
+ 146
582
+ 00:14:55,420 --> 00:14:58,440
583
+ ุงู„ู€ z is given suppose we are interested in this
584
+
585
+ 147
586
+ 00:14:58,440 --> 00:15:08,600
587
+ probability ุนู†ุฏ ุงู„ 2 ุจุงู„ุธุจุท ูŠุนู†ูŠ 2.0 under 0 2.0
588
+
589
+ 148
590
+ 00:15:08,600 --> 00:15:16,840
591
+ under 0 this
592
+
593
+ 149
594
+ 00:15:16,840 --> 00:15:24,140
595
+ is 2.0 go to the right just one placeุณุชุญุตู„ ุนู„ู‰
596
+
597
+ 150
598
+ 00:15:24,140 --> 00:15:32,280
599
+ 9772 ุฅุฐุง ูุฅู† ุนุฏุฏ ุงู„ู€ z ุฃู‚ู„ ู…ู† 2 ูŠุนู†ูŠ 0.9772 ููŠ ุฃูŠ
600
+
601
+ 151
602
+ 00:15:32,280 --> 00:15:37,340
603
+ ุณุคุงู„ุŸ
604
+
605
+ 152
606
+ 00:15:37,340 --> 00:15:41,860
607
+ ุฅุฐุง
608
+
609
+ 153
610
+ 00:15:41,860 --> 00:15:50,210
611
+ ูุฅู†ูƒ ุชู„ู‚ู‰ ุนุฏุฏ ุงู„ z 2.0 ูˆ ุชุชุญุฑูƒ ุฅู„ู‰ ุฌู‡ุฉ ุฃุนู„ู‰ู„ุฃู†
612
+
613
+ 154
614
+ 00:15:50,210 --> 00:16:01,970
615
+ ู„ุฏูŠู†ุง ูู‚ุท 2.00 ูุนู†ุฏ 0 ู‡ู†ุง ู„ุฏูŠู†ุง 9 7 7 2 ุงู„ุขู†
616
+
617
+ 155
618
+ 00:16:01,970 --> 00:16:05,810
619
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ุนุงุฏู„ุงุช ุนุงุฏู„ุงุช ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
620
+
621
+ 156
622
+ 00:16:05,810 --> 00:16:06,970
623
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
624
+
625
+ 157
626
+ 00:16:06,970 --> 00:16:07,030
627
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
628
+
629
+ 158
630
+ 00:16:07,030 --> 00:16:09,090
631
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
632
+
633
+ 159
634
+ 00:16:09,090 --> 00:16:09,290
635
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
636
+
637
+ 160
638
+ 00:16:09,290 --> 00:16:09,290
639
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
640
+
641
+ 161
642
+ 00:16:09,290 --> 00:16:09,290
643
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
644
+
645
+ 162
646
+ 00:16:17,800 --> 00:16:20,660
647
+ ู‡ู†ุง ูŠูˆุฌุฏ ุฎุทูˆุงุช ุฃูƒุชุฑ ุซู„ุงุซุฉ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ
648
+
649
+ 163
650
+ 00:16:20,660 --> 00:16:21,500
651
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ
652
+
653
+ 164
654
+ 00:16:21,500 --> 00:16:22,760
655
+ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช
656
+
657
+ 165
658
+ 00:16:22,760 --> 00:16:26,780
659
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช
660
+
661
+ 166
662
+ 00:16:26,780 --> 00:16:33,820
663
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ
664
+
665
+ 167
666
+ 00:16:33,820 --> 00:16:35,580
667
+ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช
668
+
669
+ 168
670
+ 00:16:35,580 --> 00:16:44,460
671
+ ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุทูˆุงุช ุฃูƒุชุฑ ุฎุท
672
+
673
+ 169
674
+ 00:17:01,860 --> 00:17:11,800
675
+ ุฏุนูˆู†ุง ู†ู‚ูˆู… ุจุงู„ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุนู†ูŠ convert ุชุฑุฌู…ุฉ
676
+
677
+ 170
678
+ 00:17:11,800 --> 00:17:20,880
679
+ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ ุชุฑุฌู…ุฉ
680
+
681
+ 171
682
+ 00:17:20,880 --> 00:17:21,400
683
+ ุชุฑุฌู…ุฉ
684
+
685
+ 172
686
+ 00:17:24,140 --> 00:17:30,400
687
+ ูƒูŠู ูŠู…ูƒู†ู†ุง ุชุญูˆูŠู„ X ุฅู„ู‰ ZุŸ ุจุงุณุชุฎุฏุงู… ุงู„ูˆุงู‚ุน Z ูŠู‚ู„ X
688
+
689
+ 173
690
+ 00:17:30,400 --> 00:17:36,000
691
+ ู…ุงู†ูˆุณ ู…ูŠูˆ ุชู‚ุฑูŠุฑู‡ ุจุณูŠุฌู…ุง X ู…ุงู†ูˆุณ .. ู‡ุฐุง ูŠุนู†ูŠ ููŠ
692
+
693
+ 174
694
+ 00:17:36,000 --> 00:17:39,920
695
+ ุงู„ูˆุงู‚ุน X
696
+
697
+ 175
698
+ 00:17:39,920 --> 00:17:46,600
699
+ ู…ุงู†ูˆุณ .. ู…ูŠู† X ุชู‚ุฑูŠุฑู‡ ุจุณูŠุฌู…ุง X ูู‚ุท ู„ุชุนุฑูŠูุงุช ุจุณูŠุทุฉ
700
+
701
+ 176
702
+ 00:17:46,600 --> 00:17:49,040
703
+ ู†ุณุชุฎุฏู… X ู…ุงู†ูˆุณ ู…ูŠูˆ ุนู„ู‰ ุณูŠุฌู…ุง
704
+
705
+ 177
706
+ 00:17:54,500 --> 00:17:58,220
707
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุทุจูŠุนูŠุฉ ุงู„ุตู†ุฏูˆู‚ูŠุฉ ู„ุชุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู‚ุงุนุฏุฉุŒ
708
+
709
+ 178
710
+ 00:17:58,220 --> 00:18:02,960
711
+ ูู‡ู†ุง ูŠูˆุฌุฏ ุฃุณุงุณู‹ุง ุซู„ุงุซ ุฎุทูˆุท ู„ุชู‚ูˆู… ุจุชุญุฏูŠุซ ุฃูŠ ู…ุนุฑูˆู
712
+
713
+ 179
714
+ 00:18:02,960 --> 00:18:09,320
715
+ ุชุญุช ุงู„ู‚ูŠุงุฏุฉ ุงู„ุทุจูŠุนูŠุฉ. ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุงุนุชู‚ุฏ ุงู† X
716
+
717
+ 180
718
+ 00:18:09,320 --> 00:18:13,420
719
+ ู‡ูˆ ุงู„ูˆู‚ุช ุงู„ู„ุฐูŠ ูŠุณุชุบุฑู‚ ููŠ ุซุงู†ูˆูŠุฉ ู„ุชุญู…ูŠู„ ู…ู„ู ุตูˆุฑุฉ ู…ู†
720
+
721
+ 181
722
+ 00:18:13,420 --> 00:18:21,570
723
+ ุงู„ุฅู†ุชุฑู†ุช ูˆ X ู…ุซู„ ุงู„ุฒู…ู†ุงู„ูˆู‚ุช ู…ุณุชู…ุฑ ูˆู„ุง ู…ุณุชู…ุฑุŸ ู…ุณุชู…ุฑ
724
+
725
+ 182
726
+ 00:18:21,570 --> 00:18:26,410
727
+ ู„ุฃู†ู‡ ู„ุง ูŠู…ูƒู† ุฃู† ูŠุฃุฎุฐ ุฃูŠ ู‚ูŠู…ุฉ ู…ุธุจูˆุทุŸ ุงู„ูˆู‚ุช ูŠู…ูƒู† ุฃู†
728
+
729
+ 183
730
+ 00:18:26,410 --> 00:18:31,930
731
+ ูŠูƒูˆู† 3.6 3 3.5 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุŒ ู„ุฐู„ูƒ ุงู„ูˆู‚ุช ูŠุนุชุจุฑ
732
+
733
+ 184
734
+ 00:18:31,930 --> 00:18:33,770
735
+ ู…ุณุชู…ุฑู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง
736
+
737
+ 185
738
+ 00:18:33,770 --> 00:18:37,310
739
+ ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง ู…ุฎุชู„ูู‹ุง
740
+
741
+ 186
742
+ 00:18:37,310 --> 00:18:44,690
743
+ ู…ุฎุชู„ูู‹ุง
744
+
745
+ 187
746
+ 00:18:44,690 --> 00:18:45,710
747
+ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ
748
+
749
+ 188
750
+ 00:18:45,710 --> 00:18:46,090
751
+ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ
752
+
753
+ 189
754
+ 00:18:46,090 --> 00:18:46,090
755
+ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎ๏ฟฝ๏ฟฝู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ
756
+
757
+ 190
758
+ 00:18:46,090 --> 00:18:52,860
759
+ ู…ุฎุชู„ูุฉ ู…ุฎุชู„ูุฉ ู…ุฎุชof 18 seconds and
760
+
761
+ 191
762
+ 00:18:52,860 --> 00:18:57,820
763
+ standard deviation of 5 seconds and suppose we are
764
+
765
+ 192
766
+ 00:18:57,820 --> 00:19:03,700
767
+ interested in the probability of X less than 18.6
768
+
769
+ 193
770
+ 00:19:03,700 --> 00:19:07,560
771
+ seconds ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู„ุฒู…ู† ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุชู†ุฒู„ image
772
+
773
+ 194
774
+ 00:19:07,560 --> 00:19:12,840
775
+ ู…ู† ุงู„ุงู†ุชุฑู†ุช ุจูŠุงุฎุฏ ููŠ ุงู„ู…ุชูˆุณุท mean 18 ุชุงู†ูŠุฉ ูˆ
776
+
777
+ 195
778
+ 00:19:12,840 --> 00:19:16,150
779
+ standard deviation 5ุจู†ูุชุฑุถ X ุงู„ู„ูŠ ู‡ูŠ normal
780
+
781
+ 196
782
+ 00:19:16,150 --> 00:19:20,650
783
+ distribution ุจูŠุณุฃู„ ุฅูŠุด ุงู„ probability ุฅูŠุด ุงู„
784
+
785
+ 197
786
+ 00:19:20,650 --> 00:19:25,690
787
+ chance ุฅูŠุด ุงู„ุงุญุชู…ุงู„ ุฃู† X ูŠุนู†ูŠ ุงู„ุฒู…ู† ุงู„ู„ูŠ ู„ุงุฒู… ูŠูƒูˆู†
788
+
789
+ 198
790
+ 00:19:25,690 --> 00:19:31,350
791
+ ุฃู‚ู„ ู…ู† 18.6 step
792
+
793
+ 199
794
+ 00:19:31,350 --> 00:19:37,590
795
+ one we have to draw first this is the normal curve
796
+
797
+ 200
798
+ 00:19:37,590 --> 00:19:44,580
799
+ the mean in the center the mean is 18ุงู„ุงู† ู†ุญู†
800
+
801
+ 201
802
+ 00:19:44,580 --> 00:19:51,760
803
+ ู…ู‡ุชู…ูŠู† ุจ 18.6 ุงุฐุง ุงุฐู‡ุจ ุงู„ู‰ ุงู„ูŠู…ูŠู† ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ 18.6
804
+
805
+ 202
806
+ 00:19:51,760 --> 00:20:00,080
807
+ ูˆู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ู„ุฐู„ูƒ ุงุฑุณู„
808
+
809
+ 203
810
+ 00:20:00,080 --> 00:20:06,440
811
+ ูู‚ุท ูƒูŠุฑุจ ุนุงุฏู„ ู…ุน ู…ุนู†ู‰ 18 ูˆู†ุญู† ู…ู‡ุชู…ูŠู† ุจู‡ุฐุง ู‚ูŠู…ุฉ X X
812
+
813
+ 204
814
+ 00:20:06,440 --> 00:20:12,360
815
+ ูˆุงุถุญ ุงู„ุงุตู…ู‡ุŸ ุงู„ู„ูŠ ู…ุฑุณูˆู… ุนู†ุฏูƒ ุฎู„ุงุตุŸ
816
+
817
+ 205
818
+ 00:20:14,090 --> 00:20:18,210
819
+ ู„ุฃู† ุงู„ area to the right of the mean ู‡ุฐูŠ area
820
+
821
+ 206
822
+ 00:20:18,210 --> 00:20:24,370
823
+ ุชุณุงูˆูŠ ู‚ุฏุงุด ู†ุตุŒ ุนู„ู‰ ุงู„ุดู…ุงู„ ู†ุตุŒ ู…ุธุจูˆุทุŸ ุชุชูˆู‚ุนูŠ ุงู„ุฌูˆุงุจ
824
+
825
+ 207
826
+ 00:20:24,370 --> 00:20:29,450
827
+ ู‡ูŠุทู„ุน ุฃูƒุจุฑ ู…ู† ู†ุต ูˆู„ุง ุฃู‚ู„ ู…ู† ู†ุตุŸ ุฃูƒุจุฑ ู…ู† ู†ุตุŒ ู„ูŠุดุŸ
828
+
829
+ 208
830
+ 00:20:29,450 --> 00:20:32,630
831
+ ู„ุฃู† ุฃู†ุง ุนุงูŠุฒ probability of X less than 18.6 it
832
+
833
+ 209
834
+ 00:20:32,630 --> 00:20:37,270
835
+ means this area ูƒู„ู‡ุง ุฒุงุฏ ู„ู„ุตุบูŠุฑุฉุŒ ูุจุงู„ุชุงู„ูŠ ุฃูƒูŠุฏ
836
+
837
+ 210
838
+ 00:20:37,270 --> 00:20:42,340
839
+ ุฃูƒุชุฑ ู…ู† ู†ุตุŒ ู„ูŠุด ุจุชูƒูˆู† ุฃู‚ู„ ู…ู† ู†ุตุŸู„ูˆ ูƒุงู†ุช ุนู„ู‰ ุงู„ุดู…ุงู„
840
+
841
+ 211
842
+ 00:20:42,340 --> 00:20:48,700
843
+ ุชูƒูˆู† ุชุญุช ู‡ู†ุง ุงูˆ ุงุฐุง ูƒุงู†ุช ุงูŠ ุงุชู†ุงุด ู…ุชุฑ ุงุฐุง ูƒุงู†ุช ุนู„ู‰
844
+
845
+ 212
846
+ 00:20:48,700 --> 00:20:53,140
847
+ ุงู„ูŠุณุงุฑ ู…ู† ุงู„ู…ูŠุงู† ูŠู…ูƒู† ุงู† ุชูƒูˆู† ุงู‚ู„ ู…ู† 0.5 ุนู„ู‰ ุงูŠ
848
+
849
+ 213
850
+ 00:20:53,140 --> 00:20:58,660
851
+ ุญุงู„ ู†ุญู† ู…ู‡ุชู…ูŠู† ุจุงู„ูุฑุตุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ู„ุฐู„ูƒ ุฑู‚ู… ูˆุงุญุฏ
852
+
853
+ 214
854
+ 00:20:58,660 --> 00:21:03,420
855
+ ุงู†ุง ุงุฑุณู„ ูุฑุตุฉ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุนุงุฏูŠุฉ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ
856
+
857
+ 215
858
+ 00:21:03,420 --> 00:21:04,300
859
+ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุงุชุฌุงุฑุจ ุฒูŠ
860
+
861
+ 216
862
+ 00:21:10,800 --> 00:21:21,060
863
+ x is 18.6 minus the mean is 18 sigma 5 ุงูŠุด ุจูŠุณุงูˆูŠ
864
+
865
+ 217
866
+ 00:21:21,060 --> 00:21:26,660
867
+ 0.6 over 5 which
868
+
869
+ 218
870
+ 00:21:26,660 --> 00:21:33,100
871
+ is 0.12 ู…ู…ูƒู† ุงุญุท ุนู„ู‰ ู†ูุณ ุงู„ curve ู„ูˆ ุจุฏุฃ ุงุญุท ุงู„
872
+
873
+ 219
874
+ 00:21:33,100 --> 00:21:38,220
875
+ curve ุชุจู‚ู‰ ุงู„ z ุทุจุนุง ุงู„ curve ู„ู„ z ูˆ ุงู„ x ุฒูŠ ุจุนุฏ
876
+
877
+ 220
878
+ 00:21:38,220 --> 00:21:45,680
879
+ ุจุณ ุงู„ scale ุจูŠุฎุชู„ูุงู„ู€ mean ุชุจู‚ู‰ ุฃุฒูŠุด ุจูŠุณุงูˆูŠ 0 ุงู„ู€
880
+
881
+ 221
882
+ 00:21:45,680 --> 00:21:53,680
883
+ 18.6 ุฃุฒูŠุด ุตุงุฑุช 12 ู†ูุณ ุงู„ curve ุจุณ ุงู„ mean ุงู„ู„ูŠ ู‡ูŠ
884
+
885
+ 222
886
+ 00:21:53,680 --> 00:22:00,960
887
+ 18 ุจุชุงุนุฉ ุงู„ normal distribution ููŠ ุงู„ Z ุตุงุฑุช 0 ูˆู‡ูŠ
888
+
889
+ 223
890
+ 00:22:00,960 --> 00:22:06,460
891
+ ุงู„ุณุฌู†ุฉ ูˆู‡ูŠ ุงู„ู„ูŠ 18.6 ุตุงุฑุช 0.12 ูุจุงู„ุชุงู„ูŠ ุฎู„ุตุช ู‡ูŠ ุงู„
892
+
893
+ 224
894
+ 00:22:06,460 --> 00:22:12,300
895
+ convertุฅุฐุง ุตุฑุช ุงู„ู…ุซู„ Probability of X less than 18
896
+
897
+ 225
898
+ 00:22:12,300 --> 00:22:18,240
899
+ .6 ู‡ุฐุง ู…ุทู„ูˆุจ ุจุงู„ุดูŠุฎ ุตุงุฑุช ุนุจุงุฑุฉ ุนู† ุฅูŠุด Probability
900
+
901
+ 226
902
+ 00:22:18,240 --> 00:22:26,640
903
+ of Z less than 0.12 step 3 ุนุจุงุฑุฉ ุนู† ุฅูŠุด use z
904
+
905
+ 227
906
+ 00:22:26,640 --> 00:22:30,520
907
+ table ุทู„ุน ุนู„ู‰ z table z positive ูˆู„ุง negative
908
+
909
+ 228
910
+ 00:22:30,520 --> 00:22:37,720
911
+ positive positive values
912
+
913
+ 229
914
+ 00:22:37,720 --> 00:22:38,280
915
+ of z
916
+
917
+ 230
918
+ 00:23:03,850 --> 00:23:09,750
919
+ ู…ุฑุฉ ุซุงู†ูŠุฉ ู„ุฏูŠ ุซู„ุงุซ ุฎุทูˆุงุช
920
+
921
+ 231
922
+ 00:23:13,110 --> 00:23:19,150
923
+ ุจุฑุณู… ุงู„ู‡ูŠุฆุฉ ุงู„ุทุจูŠุนูŠุฉ ูŠุฌุจ ุฃู† ุชุฌุฏ ู…ุตุฏุฑ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ
924
+
925
+ 232
926
+ 00:23:19,150 --> 00:23:26,850
927
+ ู‡ูŠ 18 ูˆู‚ูŠู…ุฉ X ู‡ู†ุง ู†ุญู† ู…ู‡ุชู…ูŠู† ุจุงู„ู€ 18.6 ุงู„ุฃู† 18.6
928
+
929
+ 233
930
+ 00:23:26,850 --> 00:23:31,390
931
+ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุฌุงู†ุจ ุงู„ู€ 18 ูู‡ุฐุง ู‡ูˆ X ุงู„ุฎุงุต ุจูŠ
932
+
933
+ 234
934
+ 00:23:31,390 --> 00:23:37,850
935
+ ุฎุทูˆุฉ 2 ุชุญูˆู„ X ุฅู„ู‰ Z ุจุงุณุชุฎุฏุงู… X ู…ุงู†ุณ ู…ูŠูˆ ุนุจุฑ ุณูŠุฌู…ุง
936
+
937
+ 235
938
+ 00:23:37,850 --> 00:23:42,550
939
+ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง X ูŠูƒูˆู† 18.6 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ
940
+
941
+ 236
942
+ 00:23:46,410 --> 00:23:51,970
943
+ ู…ุน ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ 18 ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
944
+
945
+ 237
946
+ 00:23:51,970 --> 00:23:56,830
947
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
948
+
949
+ 238
950
+ 00:23:56,830 --> 00:23:58,290
951
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
952
+
953
+ 239
954
+ 00:23:58,290 --> 00:23:58,810
955
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
956
+
957
+ 240
958
+ 00:23:58,810 --> 00:23:59,350
959
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
960
+
961
+ 241
962
+ 00:23:59,350 --> 00:24:02,690
963
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
964
+
965
+ 242
966
+ 00:24:02,690 --> 00:24:08,190
967
+ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุฉ
968
+
969
+ 243
970
+ 00:24:08,190 --> 00:24:09,370
971
+ ู…
972
+
973
+ 244
974
+ 00:24:13,070 --> 00:24:15,410
975
+ Now what does this result meanุŸ ุฅูŠุด ู…ุนู†ู‰ ุงู„ุฌูˆุงุจ
976
+
977
+ 245
978
+ 00:24:15,410 --> 00:24:19,070
979
+ ุงู„ู„ูŠ ุทู„ุนุŸ ู‡ูˆ ุจูŠุณุฃู„ ุฅูŠุด ุงู„ time required to
980
+
981
+ 246
982
+ 00:24:19,070 --> 00:24:23,650
983
+ download an image from the internet if X is less
984
+
985
+ 247
986
+ 00:24:23,650 --> 00:24:26,790
987
+ than 18.6 seconds ูŠุนู†ูŠ ุฅูŠุด ุงุญุชุจุงู„ ุชู†ุฒู„ ุดุบู„ ุนู„ู‰
988
+
989
+ 248
990
+ 00:24:26,790 --> 00:24:31,990
991
+ ุงู„ุงู†ุชุฑู†ุช ุชุงุฎุฏ ู…ุนุงูƒ ุฒู…ู† ุฃู‚ู„ ู…ู† 18.6 second ุทู„ุน
992
+
993
+ 249
994
+ 00:24:31,990 --> 00:24:38,250
995
+ ุงู„ุฌูˆุงุจ 0.54 ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง 54% ุงู„ูƒู„ุงู… ุฏู‡ ู…ู…ูƒู† ูŠุชุญู‚ู‚
996
+
997
+ 250
998
+ 00:24:38,250 --> 00:24:42,330
999
+ ู‡ู†ุฒู„ ุดุบู„ ุนู„ู‰ ุงู„ุงู†ุชุฑู†ุช ูˆ ุชุงุฎุฏ ู…ุนุงู‡ 18 ุซุงู†ูŠุฉ ูˆ 16
1000
+
1001
+ 251
1002
+ 00:24:53,750 --> 00:25:01,070
1003
+ now suppose we want to find normal upper tail ุฅูŠุด
1004
+
1005
+ 252
1006
+ 00:25:01,070 --> 00:25:08,890
1007
+ upper tailุŸ ุงู„ upper tail ุฅูŠุด ู…ุนู†ุงู‡ upper tailุŸ
1008
+
1009
+ 253
1010
+ 00:25:08,890 --> 00:25:17,000
1011
+ upper tail upper ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ุฃุนู„ู‰ ูˆ tailtail ู‡ูŠ
1012
+
1013
+ 254
1014
+ 00:25:17,000 --> 00:25:24,400
1015
+ ุนุฑุจ ูˆ ุงู†ุฌู„ูŠุฒุฉ ูˆุงุญุฏ ุนุฑุจ ูˆ ุงู†ุฌู„ูŠุฒุฉ ูˆุงุญุฏ tail ู…ุนุงูƒ
1016
+
1017
+ 255
1018
+ 00:25:24,400 --> 00:25:28,880
1019
+ ุฌูˆุงู„ุŸ ุญุทูŠู‡ ุนู„ู‰ ุงู„ dictionaryุŒ ุฅูŠุด ู…ุนู†ุงู‡ tailุŸ ุทุฑู
1020
+
1021
+ 256
1022
+ 00:25:28,880 --> 00:25:34,980
1023
+ ุฃูˆ dial ุทุฑู ูŠู…ูŠู†ุŒ ุทุฑู ุฃุนู„ู‰ upper tail ู…ุนู†ุงู‡ ุงู„ุทุฑู
1024
+
1025
+ 257
1026
+ 00:25:34,980 --> 00:25:39,500
1027
+ ุงู„ุฃุนู„ู‰ ูŠุนู†ูŠ ุนุงูŠุฒูŠ ุงู„ probability to the right side
1028
+
1029
+ 258
1030
+ 00:25:39,500 --> 00:25:42,360
1031
+ ูŠุนู†ูŠ ุงู„ุทุฑู ุงู„ู…ูˆุฌุจ
1032
+
1033
+ 259
1034
+ 00:25:46,100 --> 00:25:49,000
1035
+ ูŠุนู†ูŠ ุจุนุฏ ู…ุง ูƒู†ุช ุนุงูŠุฒุฉ probability of x less than
1036
+
1037
+ 260
1038
+ 00:25:49,000 --> 00:25:55,920
1039
+ 18.6 ุนุงูŠุฒูŠู† ุงู„ probability of x greater than 18.6
1040
+
1041
+ 261
1042
+ 00:25:55,920 --> 00:26:00,240
1043
+ in
1044
+
1045
+ 262
1046
+ 00:26:00,240 --> 00:26:06,160
1047
+ stead of less than 18.6 to the left side we are
1048
+
1049
+ 263
1050
+ 00:26:06,160 --> 00:26:08,840
1051
+ looking for this probability for this area or for
1052
+
1053
+ 264
1054
+ 00:26:08,840 --> 00:26:14,100
1055
+ this probability the area to the right ู…ุณุงุญู„
1056
+
1057
+ 265
1058
+ 00:26:14,100 --> 00:26:26,100
1059
+ ุนู„ู‰ ุงู„ูŠู…ูŠู†ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ ุงู„ู…ุณุงุญุฉ
1060
+
1061
+ 266
1062
+ 00:26:26,100 --> 00:26:31,560
1063
+ ุชุญุช ู…ู†ุญู†ู‰ ุงู„ุชูˆุฒูŠุน ุทุจุนุง ุจุณู‡ุง ูˆุงุญุฏ ุฅุฐุง ุทู„ุนุช ู‡ูŠูƒ to
1064
+
1065
+ 267
1066
+ 00:26:31,560 --> 00:26:39,460
1067
+ the left 0.5478 ุฅูŠุด ู‡ุชูƒูˆู† ุนู„ู‰ ุงู„ูŠู…ูŠู† one minus
1068
+
1069
+ 268
1070
+ 00:26:39,460 --> 00:26:46,710
1071
+ this value ู…ุด ู‡ูŠูƒ ู…ุธุจูˆุท ุฅุฐุง ุญูƒูŠุชู„ูƒ ุงุญุชู…ุงู„ ุงู†ูƒุชุฎุณุฑ
1072
+
1073
+ 269
1074
+ 00:26:46,710 --> 00:26:51,710
1075
+ ุดุบู„ุฉ ู…ุนูŠู†ุฉ ุจุชู„ุงุชุฉ ู…ู† ุนุดุฑุฉ ุงุญุชู…ุงู„ ุงู„ุฑุจุญ ุณุจุนุฉ
1076
+
1077
+ 270
1078
+ 00:26:51,710 --> 00:26:57,910
1079
+ ูุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† 18.6 ู‡ุฐุง ูŠุจู‚ู‰ one minus ุงุญุชู…ุงู„ X
1080
+
1081
+ 271
1082
+ 00:26:57,910 --> 00:27:04,290
1083
+ ุฃู‚ู„ ู…ู† 18.6 so always in general if we are looking
1084
+
1085
+ 272
1086
+ 00:27:04,290 --> 00:27:08,450
1087
+ for to the upper tail X greater than for example B
1088
+
1089
+ 273
1090
+ 00:27:08,450 --> 00:27:16,450
1091
+ this equals one minus X ุฃู‚ู„ ู…ู† Bุฎู„ุงุตุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุน
1092
+
1093
+ 274
1094
+ 00:27:16,450 --> 00:27:19,750
1095
+ ุจุงุญุชู…ุงู„ X ุนู„ู‰ ุงู„ูŠู…ูŠู† ุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„ ูˆ ุงุชุฑุญ ู…ู†ู‡ุง
1096
+
1097
+ 275
1098
+ 00:27:19,750 --> 00:27:24,550
1099
+ ูˆุงุญุฏ ูˆุงุถุญุฉ ููŠ ุฃูŠ .. ู„ูŠุด ู„ุฃ .. ู„ูŠุด ู„ุฃ ู„ุฃ ุงู„ู„ูŠ ุฃู†ุง
1100
+
1101
+ 276
1102
+ 00:27:24,550 --> 00:27:29,210
1103
+ ุจุญูƒูŠ ุงุญุชู…ุงู„ X ุฃูƒุจุฑ ู…ู† B ูˆุนุงูŠุฒ ุงู„ุดู…ุงู„ .. ุงู„ูŠู…ูŠู†
1104
+
1105
+ 277
1106
+ 00:27:29,210 --> 00:27:34,410
1107
+ ุจู‚ุฏุฑ ุฃุทู„ุน ุนู„ู‰ ุงู„ุดู…ุงู„
1108
+
1109
+ 278
1110
+ 00:27:34,410 --> 00:27:38,390
1111
+ ุทุจ ุงู„ุดู…ุงู„ ุงู„ู†ุญู„ ู‡ู†ุง ุงู„ู…ูƒู…ู„ ุฅูŠู‡ุŸ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ูˆุงุญุฏ
1112
+
1113
+ 279
1114
+ 00:27:38,390 --> 00:27:42,970
1115
+ ู†ุงู‚ุต ุงู„ุดู…ุงู„ ุฃุญูุธูŠู‡ุง .. ูุงู…ูŠู‡ุง ุฒูŠ ู…ุง ุฃู†ุช ุนุงูŠุฒู‡ุง ู…ุด
1116
+
1117
+ 280
1118
+ 00:27:42,970 --> 00:27:46,640
1119
+ ู‡ู‚ุฏุฑ ุฃูˆุถุญู‡ุง ุฃูƒุชุฑ ู…ู† ู‡ู†ุงุฎู„ุงุต ุงุญุชู…ุงู„ x ุฃูƒุจุฑ ู…ู† b
1120
+
1121
+ 281
1122
+ 00:27:46,640 --> 00:27:52,160
1123
+ ุจูŠุณูˆุง one minus d of x ุฃู‚ู„ ู…ู† b ูŠุนู†ูŠ ููŠ ุงู„ู…ุซู„ ุงู„ู„ูŠ
1124
+
1125
+ 282
1126
+ 00:27:52,160 --> 00:27:55,620
1127
+ ุนู†ุฏู‰ probability of x greater than 18.6 equals
1128
+
1129
+ 283
1130
+ 00:27:55,620 --> 00:28:04,320
1131
+ ูˆุงุญุฏ minus five four seven eight point four five
1132
+
1133
+ 284
1134
+ 00:28:04,320 --> 00:28:11,150
1135
+ two two ู„ุญุธุฉ ู„ูˆ ุฌู…ุนุช ุงู„ู‚ูŠู…ุชูŠู† ู‡ุฏูˆู„ู„ูˆ ุฌู…ุนุช ุงู„ุงุชู†ูŠู†
1136
+
1137
+ 285
1138
+ 00:28:11,150 --> 00:28:15,050
1139
+ ุงูŠุด ู‡ูŠุณุงูˆุŸ ูˆุงุญุฏ ู„ุฃู† ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ area under the
1140
+
1141
+ 286
1142
+ 00:28:15,050 --> 00:28:18,130
1143
+ normal curve equals one ุงุฐุง ู†ุจุฏุฃ ุจุงู„ู†ุณุจุงู„ูŠ ุงู„
1144
+
1145
+ 287
1146
+ 00:28:18,130 --> 00:28:22,510
1147
+ upper tail ุงุฐุง ุนุฑูู†ุง ู…ู† ุดูˆูŠุฉ ุงู„ left tail ูˆู‡ูŠ ุงู„
1148
+
1149
+ 288
1150
+ 00:28:22,510 --> 00:28:28,990
1151
+ upper tailุŒ ุงูŠุด ุจุชุงู… ุนู†ุฏู‡ุŸ ุงู„ between finding
1152
+
1153
+ 289
1154
+ 00:28:28,990 --> 00:28:35,850
1155
+ normal probability between two values suppose
1156
+
1157
+ 290
1158
+ 00:28:35,850 --> 00:28:42,110
1159
+ X is normal with mean 18ูˆุงู„ุตุญูŠุญุฉ ุงู„ุฎุงู…ุณุฉ ุชุฌุฏ X ุจูŠู†
1160
+
1161
+ 291
1162
+ 00:28:42,110 --> 00:28:47,230
1163
+ 18 ูˆ 18.6 ุนุงูŠุฒ ุงู„ Probability between two values
1164
+
1165
+ 292
1166
+ 00:29:17,140 --> 00:29:22,620
1167
+ ู…ูŠู†ูˆ 18 ุจูŠูƒุณ
1168
+
1169
+ 293
1170
+ 00:29:22,620 --> 00:29:28,760
1171
+ ุฃูƒุชุฑ ู…ู† 18 ูˆุฃู‚ู„ ู…ู† 18.6 ููŠ
1172
+
1173
+ 294
1174
+ 00:29:28,760 --> 00:29:32,760
1175
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุขู†
1176
+
1177
+ 295
1178
+ 00:29:32,760 --> 00:29:39,560
1179
+ ุจุดูƒู„ ุนุงู… ุฅุฐุง ูƒุงู†ุช X ุจูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู†
1180
+
1181
+ 296
1182
+ 00:29:39,560 --> 00:29:45,080
1183
+ ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู†
1184
+
1185
+ 297
1186
+ 00:29:45,080 --> 00:29:51,080
1187
+ ุงุชูุงู‚ูŠู† ุงุชูุงู‚ูŠู†18 ูˆ18.6 ุงู„ุขู† ุงู„ุทุงุจู‚ ู…ุฑุฉ ุฃุฎุฑู‰ ูŠุนุทูŠ
1188
+
1189
+ 298
1190
+ 00:29:51,080 --> 00:29:55,600
1191
+ ุงู„ู…ู†ุทู‚ุฉ ู„ู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑ ู„ุฐู„ูƒ ู„ูƒู…ุจูˆุช ุงู„ู…ู†ุทู‚ุฉ ุงู„ูŠุณุงุฑ
1192
+
1193
+ 299
1194
+ 00:29:55,600 --> 00:30:02,820
1195
+ ู…ุจุงุดุฑุฉ ุฃูƒุชุฑ ู…ู† 1 ู…ุงู†ูˆุณ ุงู„ุขู† ุณุจุจูˆุฒ ู†ุญู† ู…ู‡ุชู…ูŠู†
1196
+
1197
+ 300
1198
+ 00:30:02,820 --> 00:30:07,480
1199
+ ุจุงู„ุงู†ุชุตุงุฑ ุจูŠู† ุงุชุณุงุจู‚ูŠู† ุงุชุณุงุจู‚ูŠู† ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุด
1200
+
1201
+ 301
1202
+ 00:30:07,480 --> 00:30:13,440
1203
+ ู‡ุชุณุงูˆูŠ ููŠ ุงู„ู†ุต ุงู„ู…ุณุงุญุฉ
1204
+
1205
+ 302
1206
+ 00:30:13,440 --> 00:30:23,780
1207
+ ู‡ุฐู‡ ุงู„ู…ุนู„ู…ุฉ ู‡ูŠูƒุจุชุณุงูˆูŠ ุงู„ุฃู‚ู„ ู…ู† 18.6 ุจุงู„ุธุจุท
1208
+
1209
+ 303
1210
+ 00:30:23,780 --> 00:30:33,040
1211
+ ุงู„ุฃู‚ู„ ู…ู† 18.6 minus X ุฃู‚ู„ ู…ู† 18 ูŠุนู†ูŠ
1212
+
1213
+ 304
1214
+ 00:30:33,040 --> 00:30:39,160
1215
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ู„ู…ุง ุจุดุชุบู„ ุนู„ู‰ two values ุจุชุทู„ุน P of X
1216
+
1217
+ 305
1218
+ 00:30:39,160 --> 00:30:42,900
1219
+ less than ุงู„ูƒุจูŠุฑุฉ ุงู„ู„ูŠ ู‡ู†ุง ู†ุงู‚ุต P of X less than
1220
+
1221
+ 306
1222
+ 00:30:42,900 --> 00:30:45,080
1223
+ ุงู„ุตุบูŠุฑุฉ in general
1224
+
1225
+ 307
1226
+ 00:30:48,860 --> 00:30:57,500
1227
+ ู„ู€ X ุจูŠู† A ูˆB ุณูˆุงุก
1228
+
1229
+ 308
1230
+ 00:30:57,500 --> 00:31:04,200
1231
+ ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ุฑู‚ู…
1232
+
1233
+ 309
1234
+ 00:31:04,200 --> 00:31:12,360
1235
+ ูˆุงุญุฏ ุจูŠ ู…ู† X ุฃู‚ู„ ู…ู† A ู‡ุฐุง ู…ุจุงุดุฑุฉ ู…ุจุงุดุฑุฉ ุชุญู„ูŠู‡ุง ุนู„ู‰
1236
+
1237
+ 310
1238
+ 00:31:12,360 --> 00:31:14,220
1239
+ ุทูˆู„ ู„ุฃู† ุงู„ูƒู„ุจุฉ ุชุนุทูŠ ุงู„ู…ู†ุทู‚ุฉ ุฅู„ู‰ ุงู„ูŠุณุงุฑ
1240
+
1241
+ 311
1242
+ 00:31:17,210 --> 00:31:26,850
1243
+ ุฅุฐุง ูƒุงู† X ุฃูƒุจุฑ ู…ู† B ูŠูƒูˆู† 1 ู†ุงู‚ุต ุฅู„ู‰ ุงู„ุชุงู„ุชุฉ ุฅุฐุง
1244
+
1245
+ 312
1246
+ 00:31:26,850 --> 00:31:31,010
1247
+ ูƒุงู† X ุจูŠู† A ูˆ B ุฃู‚ู„
1248
+
1249
+ 313
1250
+ 00:31:31,010 --> 00:31:34,850
1251
+ ู…ู† B ูŠูƒูˆู† 1 ู†ุงู‚ุต ุฅู„ู‰ ุงู„ุชุงู„ุชุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ูˆุงู†ูŠู†
1252
+
1253
+ 314
1254
+ 00:31:34,850 --> 00:31:42,490
1255
+ ุงู„ุซู„ุงุซุฉ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ุฅุฐุง ุฃุฑุฏุช ุฅุญุชู…ุงู„ X ุจูŠู† A 18 ูˆ 18
1256
+
1257
+ 315
1258
+ 00:31:42,490 --> 00:31:48,190
1259
+ .6 ูŠุนู†ูŠ 18.6 minus X less than 18ู…ุน ูƒุฏู‡ ุงู„ู…ุซู„ ุตุงุฑุช
1260
+
1261
+ 316
1262
+ 00:31:48,190 --> 00:31:51,990
1263
+ ู…ุซู„ุชูŠู† ุงุชุญู„ู„ู‡ู…
1264
+
1265
+ 317
1266
+ 00:31:51,990 --> 00:31:57,050
1267
+ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุฎู„ุงุต ูƒุงู†ูˆุง ู…ุซู„ุชูŠู† ุงุญู„ู„ู‡ู… ูˆุงุฎุฏ ุงู„ูุฑู‚
1268
+
1269
+ 318
1270
+ 00:31:57,050 --> 00:32:02,790
1271
+ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูŠุนู†ูŠ ู…ุน ูƒุฏู‡ ู‡ุงุทู„ุน ุงู„ z score ู„ู„ุฃูˆู„ู‰ ุฒูŠ
1272
+
1273
+ 319
1274
+ 00:32:02,790 --> 00:32:09,630
1275
+ ู…ุง ุทู„ุนู†ุงู‡ุง ู…ู† ุดูˆูŠุฉ ุงู„ู„ูŠ ุณูˆุช ู‚ุฏุงุด 12% ูˆุทู„ุน ุงู„ z
1276
+
1277
+ 320
1278
+ 00:32:09,630 --> 00:32:16,090
1279
+ score ู„ู…ู†ุŸ ู„ู„ุชุงู†ูŠุฉุงู„ู„ูŠ ู‡ูŠ ุทุจูŠุนูŠุฉ ู‡ุชุณูˆู‰ ุตูุฑ ู…ุด
1280
+
1281
+ 321
1282
+ 00:32:16,090 --> 00:32:20,910
1283
+ ุฏุงูŠู…ุง ููŠ ู‡ุฐู‡ ุงู„ู…ุซู„ุฉ ุจุณ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุนุงูŠุฒ X ุฃูˆ ุนุงูŠุฒ X
1284
+
1285
+ 322
1286
+ 00:32:20,910 --> 00:32:25,670
1287
+ ุฃูƒุจุฑ ู…ู† 18 ูˆ18 ูŠุนุจุฑ ุนู„ู…ูŠู† ู„ูƒู† ู„ูˆ ูƒุงู†ุช ู‚ูŠู…ุฉ ุชุงู†ูŠุฉ
1288
+
1289
+ 323
1290
+ 00:32:25,670 --> 00:32:31,690
1291
+ ุจุงุฎุฏู‡ุง ุงุนู…ู„ูŠู‡ุง ุฃูŠ 18 ุงู„ X ู…ุด ู‡ูŠูƒ ู†ู‚ุต ู…ู† 18 ุนู„ู‰
1292
+
1293
+ 324
1294
+ 00:32:31,690 --> 00:32:43,140
1295
+ Sigma 5 ุชุณูˆู‰ ุตูุฑ ุงู„ู…ุซู„ุฉ ุงุชุญูˆู„ุช ู„ุนูŠุด ุฃู‚ู„ ู…ู† 12ู†ู‚ุต
1296
+
1297
+ 325
1298
+ 00:32:43,140 --> 00:32:51,680
1299
+ ุฃู‚ู„ ู…ู† 0 ุงู„ู€ probability
1300
+
1301
+ 326
1302
+ 00:32:51,680 --> 00:32:56,620
1303
+ of z less than 0.12 ุทู„ุนู†ุงู‡ุง ู…ู† ุดูˆูŠุฉ ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ
1304
+
1305
+ 327
1306
+ 00:32:56,620 --> 00:33:03,560
1307
+ ุทู„ุนุช ู…ุนุงูŠุง ุทู„ุนุช
1308
+
1309
+ 328
1310
+ 00:33:03,560 --> 00:33:09,360
1311
+ 5478 5478
1312
+
1313
+ 329
1314
+ 00:33:09,360 --> 00:33:12,140
1315
+ P of z less than 0 ุฅูŠุด ุจุชุณูˆูŠุŸ
1316
+
1317
+ 330
1318
+ 00:33:15,180 --> 00:33:21,640
1319
+ ุงุญุชู…ุงู„ Z ุฃู‚ู„ ู…ู† 0 ุทุจ
1320
+
1321
+ 331
1322
+ 00:33:21,640 --> 00:33:24,980
1323
+ .. ุทุจ ุงุณู…ุน ุงุชุทู„ุน ุนู„ู‰ ุงู„ table ุฌุงู„ ู…ู† ุงู„ุฌูˆุง ูŠุนู†ูŠ
1324
+
1325
+ 332
1326
+ 00:33:24,980 --> 00:33:31,760
1327
+ ู‡ุงูŠ ุงู„ zero ุงูŠุด ุงู„ุฌูˆุง ุจุงู„ุณุงูˆูŠุฉ ูˆ ู…ู† ุบูŠุฑ ุงู„ table
1328
+
1329
+ 333
1330
+ 00:33:31,760 --> 00:33:38,640
1331
+ ุจุนุฑูู‡ ูˆู„ุง ุจุนุฑูู‡ุงุด ุจุนุฑูู‡ุง ุงู„ Z ู‡ุงูŠ ุงู„ Z ุงู„ mean
1332
+
1333
+ 334
1334
+ 00:33:38,640 --> 00:33:43,860
1335
+ ุจุงู„ู†ุต ุจุงู„ zero ุงู„ Z ุฃู‚ู„ ู…ู† Zero ู…ุณุงุญุฉ ู„ูŠู‡ ู…ุด
1336
+
1337
+ 335
1338
+ 00:33:43,860 --> 00:33:49,690
1339
+ ุจุงู„ุณุงูˆูŠุฉู†ุต .. ู…ู† ุบูŠุฑ ุงู„ุชุงุจุน .. ููุชุญ ุงู„ู†ุต .. ู‡ูŠ
1340
+
1341
+ 336
1342
+ 00:33:49,690 --> 00:33:56,810
1343
+ ุงู„ุฌูˆุงุจ ู†ุงุฎุฏ
1344
+
1345
+ 337
1346
+ 00:33:56,810 --> 00:34:05,030
1347
+ ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰ ุซู… ู†ุชูˆู‚ู .. ูุงูƒุชุดู ู…ูุฑูˆุถ X ุจูŠู† 17.4 ูˆ
1348
+
1349
+ 338
1350
+ 00:34:05,030 --> 00:34:05,390
1351
+ 18
1352
+
1353
+ 339
1354
+ 00:34:16,340 --> 00:34:25,020
1355
+ ุจุฏูŠ ุญุฏ ูŠุญู„ู‡ุง ูŠุง ุฏูŠุงุฌูŠ ูˆุงุญุฏุฉ ุชุชูุถู„ ุชุญู„ู‡ุง X between
1356
+
1357
+ 340
1358
+ 00:34:25,020 --> 00:34:34,300
1359
+ 17.4 and 18 ุงู†ุช
1360
+
1361
+ 341
1362
+ 00:34:34,300 --> 00:34:38,600
1363
+ ู„ุงู† ู…ุนุงูƒ ุฎู…ูŠุณ ูˆ ุฌู…ุนุฉุŒ ู…ุธุจูˆุทุŸ ุญุงูˆู„ุŒ ููŠ ุฃุซุฑ ุนู„ู‰
1364
+
1365
+ 342
1366
+ 00:34:38,600 --> 00:34:42,620
1367
+ ุงู„ู…ูˆุถูˆุน ููŠ ุงู„ practice ุชุจุน chapter 6 ุญู„ ุงู„ุฃุซุฑ ุงู„ู„ูŠ
1368
+
1369
+ 343
1370
+ 00:34:42,620 --> 00:34:43,840
1371
+ .. ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุงู„ู…ูˆุถูˆุน ู‡ุฐุง
1372
+
1373
+ 344
1374
+ 00:34:48,530 --> 00:35:03,630
1375
+ ู‡ู„ู‚ูŠุชู‡ุง ู‡ู†ุนุชู…ุฏ ุฏู„ูˆู‚ุช ุนู„ู‰ ู‡ุฐุง ุงู„ุดูŠุก ุงุฐุง
1376
+
1377
+ 345
1378
+ 00:35:03,630 --> 00:35:08,470
1379
+ ูุตู„ุฉ ุงู„ุฃุชู†ูŠู† ูˆุงุญุฏุฉ ุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† ุงู„ุชู…ู†ุชุงุดุฑ
1380
+
1381
+ 346
1382
+ 00:35:08,470 --> 00:35:11,110
1383
+ ุงู„ูƒุจูŠุฑุฉ ู†ู‚ุต ุงุญุชู…ุงู„ X ุฃู‚ู„ ู…ู† ุงู„ุตุบูŠุฑุฉ ูˆุงุถุญ ุงู„ุฎุทูˆุฉ
1384
+
1385
+ 347
1386
+ 00:35:11,110 --> 00:35:14,550
1387
+ ุงู„ุฃูˆู„ู‰ุŸ ู‡ู„ู‚ูŠุชู‡ุง ู‡ู†ุญูˆู„ ุงู„ู€ X ู„ุฒุงุฏุฉ
1388
+
1389
+ 348
1390
+ 00:35:26,280 --> 00:35:33,900
1391
+ ู…ุง ู‡ูŠ 18 ูŠุนู†ูŠ ุนุฏ ุฅูƒุณ ุจ 18 ุฅู„ู…ูŠู† ุจ 18 ุณูŠุฌู…ุง ุฎู…ุณุฉ
1392
+
1393
+ 349
1394
+ 00:35:33,900 --> 00:35:38,100
1395
+ ุงู„ู„ูŠ
1396
+
1397
+ 350
1398
+ 00:35:38,100 --> 00:35:42,340
1399
+ ุจุนุฏู‡ุง
1400
+
1401
+ 351
1402
+ 00:35:42,340 --> 00:35:51,760
1403
+ negative
1404
+
1405
+ 352
1406
+ 00:35:51,760 --> 00:35:52,620
1407
+ point twelve
1408
+
1409
+ 353
1410
+ 00:36:15,490 --> 00:36:19,730
1411
+ ูƒูˆูŠุณ ุฅุฐุง ุงู†ุตุงุฑ ุงุญุชู…ุงู„ z ุฃู‚ู„ ู…ู† zero ู†ู‚ุต ุงุญุชู…ุงู„ z
1412
+
1413
+ 354
1414
+ 00:36:19,730 --> 00:36:24,890
1415
+ ุฃู‚ู„ ู…ู† negative point twelve ูŠุณุงูˆูŠ z ุฃู‚ู„ ู…ู† zero
1416
+
1417
+ 355
1418
+ 00:36:24,890 --> 00:36:33,000
1419
+ ุดูˆูู†ุง ู…ุด minus ู†ู‚ุตู‡ุงูŠ ุงู„ schedule ู‡ุงูŠ
1420
+
1421
+ 356
1422
+ 00:36:33,000 --> 00:36:42,520
1423
+ ุงู„ negative four
1424
+
1425
+ 357
1426
+ 00:36:42,520 --> 00:36:51,480
1427
+ five five two ุงุชู†ูŠู†
1428
+
1429
+ 358
1430
+ 00:36:51,480 --> 00:36:57,800
1431
+ ุงุชู†ูŠู† ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ
1432
+
1433
+ 359
1434
+ 00:37:06,620 --> 00:37:11,640
1435
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1436
+
1437
+ 360
1438
+ 00:37:11,640 --> 00:37:11,860
1439
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1440
+
1441
+ 361
1442
+ 00:37:11,860 --> 00:37:11,860
1443
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1444
+
1445
+ 362
1446
+ 00:37:11,860 --> 00:37:11,860
1447
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1448
+
1449
+ 363
1450
+ 00:37:11,860 --> 00:37:12,580
1451
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1452
+
1453
+ 364
1454
+ 00:37:12,580 --> 00:37:16,520
1455
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1456
+
1457
+ 365
1458
+ 00:37:16,520 --> 00:37:18,320
1459
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1460
+
1461
+ 366
1462
+ 00:37:18,320 --> 00:37:19,600
1463
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1464
+
1465
+ 367
1466
+ 00:37:19,600 --> 00:37:19,600
1467
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1468
+
1469
+ 368
1470
+ 00:37:19,600 --> 00:37:19,600
1471
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1472
+
1473
+ 369
1474
+ 00:37:19,600 --> 00:37:19,600
1475
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1476
+
1477
+ 370
1478
+ 00:37:19,600 --> 00:37:19,600
1479
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1480
+
1481
+ 371
1482
+ 00:37:19,600 --> 00:37:26,400
1483
+ ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด ู…ุด
1484
+
1485
+ 372
1486
+ 00:37:26,400 --> 00:37:30,110
1487
+ ู…ุด ู…ุด ู…ุดุชุญูˆู„ุช ู„ู„ู€ z between zero and negative
1488
+
1489
+ 373
1490
+ 00:37:30,110 --> 00:37:37,290
1491
+ point twelve ุงุญุชู…ุงู„ z less than zero one half ูˆู‡ุฐุง
1492
+
1493
+ 374
1494
+ 00:37:37,290 --> 00:37:43,950
1495
+ ุทู„ุนุช ู…ู† ุงูŠู†ุŸ ู…ู† ุงู„ุฌุฏูˆู„ ุทู„ุน ุงู„ุฌูˆุงุจ ู‡ูŠูƒ ุงู„ู„ูŠ ุฃู†ุง ูˆ
1496
+
1497
+ 375
1498
+ 00:37:43,950 --> 00:37:47,450
1499
+ ุฃู†ุง ู…ุงุนุทูŠุชูƒูŠุด ุงู„ .. ุงู„ negative table ุงู„ุฌุฏูˆู„ ุชุจุน
1500
+
1501
+ 376
1502
+ 00:37:47,450 --> 00:37:52,710
1503
+ ุงู„ negative z values ู„ูˆ ุจุณ ุงู„ู…ูˆุฌุจ ู„ุญุธุฉ .. ุงู„ู…ุซู„ุฉ
1504
+
1505
+ 377
1506
+ 00:37:52,710 --> 00:37:56,330
1507
+ ุงู„ู„ูŠ ูุงุชุช ุงู„ู…ุซู„ุฉ
1508
+
1509
+ 378
1510
+ 00:37:56,330 --> 00:38:06,410
1511
+ ุงู„ู„ูŠ ูุงุชุชู„ูˆ ูƒู†ุง ุจู†ุฏูˆุฑ ุนู„ู‰ ุฒูŠุจ 12 ูƒุงู†ุช ุฅูŠู‡ ุงู„ู„ูŠ
1512
+
1513
+ 379
1514
+ 00:38:06,410 --> 00:38:12,390
1515
+ ุดู…ุงู„ุด ุจุชุณุงูˆูŠ ููŠ ุฃูˆู„ example ููŠ ุงู„ example ุงู„ุฃูˆู„
1516
+
1517
+ 380
1518
+ 00:38:12,390 --> 00:38:22,210
1519
+ ุฃูˆู„ ูˆุงุญุฏ ุงุด ุณูˆุช five four seven eight ู…ุธุจูˆุท ู‡ุฐุง ููŠ
1520
+
1521
+ 381
1522
+ 00:38:22,210 --> 00:38:27,650
1523
+ ุงู„ู†ุต five four seven eight ู…ุธุจูˆุท
1524
+
1525
+ 382
1526
+ 00:38:33,220 --> 00:38:39,780
1527
+ 5478 ู…ุธุจูˆุท ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง 5478.112
1528
+
1529
+ 383
1530
+ 00:38:39,780 --> 00:38:48,320
1531
+ 5478 ุงู„ู„ูŠ ุงู†ุง ู…ุด ุนุงูŠุฒู‡ Z less than negative 12
1532
+
1533
+ 384
1534
+ 00:38:48,320 --> 00:38:54,380
1535
+ ุงู„ุงู†
1536
+
1537
+ 385
1538
+ 00:38:54,380 --> 00:39:00,170
1539
+ to the left of Z 0.12 0.5478ุทูŠุจ ุนุงู„ูŠู…ูŠู† ุฅูŠุด
1540
+
1541
+ 386
1542
+ 00:39:00,170 --> 00:39:04,110
1543
+ ู‡ุชุณุงูˆูŠุŸ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู…ู†ุท๏ฟฝ๏ฟฝุฉ ุงู„ู„ูŠ .. ู‡ุฐู‡
1544
+
1545
+ 387
1546
+ 00:39:04,110 --> 00:39:10,530
1547
+ ุงู„ุจูŠุถุฉ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ุฑู‚ู…ุŒ ู…ุธุจูˆุทุŸ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงุญุชู…ุงู„ ุฒูŠ
1548
+
1549
+ 388
1550
+ 00:39:10,530 --> 00:39:12,870
1551
+ ุงู„ุฏู‚ุงู„ ู…ู† ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุฌูˆุงุจ ุฎู…ุณุŒ ุฃุฑุจุนุฉุŒ ุณุจุนุฉุŒ
1552
+
1553
+ 389
1554
+ 00:39:12,870 --> 00:39:17,870
1555
+ ุชู…ุงู†ูŠุฉุŒ ุงู„ู„ูŠ ุนุงู„ูŠู…ูŠู† ูˆุงุญุฏ ู†ุงู‚ุตุŒ ุงู„ู„ูŠ ุจุชุณุงูˆูŠ ู‚ุฏุงุดุฑุŸ
1556
+
1557
+ 390
1558
+ 00:39:17,870 --> 00:39:22,010
1559
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงุชู†ูŠู†ุŒ ุงุชู†ูŠู†ุŒ ู…ุด ู‡ูŠูƒุŸ ูŠุนู†ูŠ ุงุทู„ุนูˆุง
1560
+
1561
+ 391
1562
+ 00:39:22,010 --> 00:39:24,010
1563
+ ุงุญุชู…ุงู„ ุฒูŠ ุฃูƒุจุฑ ู…ู† twelve
1564
+
1565
+ 392
1566
+ 00:39:29,050 --> 00:39:35,050
1567
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงุชู†ูŠู†ุŒ ุงุชู†ูŠู†ุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ุฐุง ุงู„ุฃูƒุจุฑ ู…ู†
1568
+
1569
+ 393
1570
+ 00:39:35,050 --> 00:39:42,590
1571
+ point twelve ุทุจ ุฅูŠุด ุงู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ู…ุŸ
1572
+
1573
+ 394
1574
+ 00:39:42,590 --> 00:39:46,910
1575
+ ุจุงู„ุธุจุท ู„ู…ุง
1576
+
1577
+ 395
1578
+ 00:39:46,910 --> 00:39:52,410
1579
+ ูŠูƒูˆู† ุฏูŠ point twelve ูˆู‡ูŠ ุงู„ area point fourุŒ five,
1580
+
1581
+ 396
1582
+ 00:39:52,510 --> 00:39:56,790
1583
+ two, two ูˆู‡ุฐู‡ negative point twelveุŒ ู‡ุฐูˆู„ ุชู†ุชูŠู†
1584
+
1585
+ 397
1586
+ 00:39:56,790 --> 00:40:02,320
1587
+ ู…ุงู„ู‡ู…ุŸุฒูŠ ู„ูŠุด ุฒูŠ ุจุนุถ because of symmetric
1588
+
1589
+ 398
1590
+ 00:40:02,320 --> 00:40:07,720
1591
+ distribution ู†ูุณ
1592
+
1593
+ 399
1594
+ 00:40:07,720 --> 00:40:11,040
1595
+ ุงู„ู‚ูŠู…ุฉ ุจุณ ูˆุงุญุฏุฉ positive ูˆุงุญุฏุฉ negative ูู‚ู„ุชู„ูŠ ุงู„
1596
+
1597
+ 400
1598
+ 00:40:11,040 --> 00:40:16,180
1599
+ area to the left of negative ุฃูƒูŠุฏ ุฒูŠ ุงู„ู„ูŠ ูุงุชุช ู…ู†
1600
+
1601
+ 401
1602
+ 00:40:16,180 --> 00:40:22,500
1603
+ ู‡ู†ุง ุจุทู„ู‚ ุงู„ table ุฃูˆุฑูŠูƒูŠ yet ูƒู…ุงู† example ุดูˆู
1604
+
1605
+ 402
1606
+ 00:40:22,500 --> 00:40:25,040
1607
+ ุงู†ุช ุดุทุฑุงุช ููŠู‡ ุฎู„ุต ุงู„ูˆุฌุงุช ุจุณ
1608
+
1609
+ 403
1610
+ 00:40:27,450 --> 00:40:34,230
1611
+ ุฅู„ุง ู„ูˆ .. ู„ูˆ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ ุงู„
1612
+
1613
+ 404
1614
+ 00:40:34,230 --> 00:40:41,550
1615
+ list ุฏู‡ negative 2.5 ู…ู† ุบูŠุฑ ุฌุฏูˆู„ุฉ ู„ูˆ ุงุทู„ุนุช ุนู„ู‰ 2.5
1616
+
1617
+ 405
1618
+ 00:40:41,550 --> 00:40:47,330
1619
+ ู‡ุงูŠ
1620
+
1621
+ 406
1622
+ 00:40:47,330 --> 00:40:55,630
1623
+ 2.5 ุงู„ู…ุณุงุญุฉ ุฏู‡ left ุฅูŠุด ุณุงูˆุช 9938
1624
+
1625
+ 407
1626
+ 00:40:55,630 --> 00:41:03,330
1627
+ ู…ุธุจูˆุทู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ู‡ูŠ 9 9 3 8 ุงูŠุด ููŠ ุงู„ ุชู… ู‡ู†ุง ูˆุงุญุฏ
1628
+
1629
+ 408
1630
+ 00:41:03,330 --> 00:41:12,690
1631
+ ู†ุงู‚ุต 0062 ูุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู†ูุณ ุงู„ู„ูŠ ู‡ู†ุง ู„ุฃ
1632
+
1633
+ 409
1634
+ 00:41:12,690 --> 00:41:17,010
1635
+ ู„ูˆ ุฑูˆุญุช ุนู„ู‰ ุงู„ negative ุงุชู†ูŠู† ูˆ ู†ุต ู‡ูŠ ุงุชู†ูŠู† ูˆ ู†ุต
1636
+
1637
+ 410
1638
+ 00:41:17,010 --> 00:41:20,290
1639
+ 0062
1640
+
1641
+ 411
1642
+ 00:41:20,290 --> 00:41:24,070
1643
+ ูˆุงุถุญ ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุทุงู„ุจ negative ุงุช ุงู„ positive
1644
+
1645
+ 412
1646
+ 00:41:24,070 --> 00:41:32,610
1647
+ ุชุจุนู‡ ุงู„ุชูˆ ุจุณ one minusุฅุฐุงู‹ ู‡ูŠ ุงู„ู‚ุงุนุฏุฉ ุงู„ุฑุงุจุนุฉ ุจูŠุจ
1648
+
1649
+ 413
1650
+ 00:41:32,610 --> 00:41:40,370
1651
+ ุฒูŠ less than ุจูŠุจ ุฃูˆ
1652
+
1653
+ 414
1654
+ 00:41:40,370 --> 00:41:48,190
1655
+ ุฎู„ูŠู‡ุง greater than ุจูŠุจ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุง ุจุชุณุงูˆูŠ
1656
+
1657
+ 415
1658
+ 00:41:48,190 --> 00:41:51,430
1659
+ ุฎู„ุงุต
1660
+
1661
+ 416
1662
+ 00:41:51,430 --> 00:41:59,050
1663
+ ุงุญุชู…ุงู„ ุฒูŠ ุฃูƒุจุฑ ู…ู† ุจูŠุจ ู‡ูŠ ู†ูุณ ุฒูŠ ุฃู‚ู„ ู…ู† ุณู„ุจ ุจูŠุจู…ุฑุฉ
1664
+
1665
+ 417
1666
+ 00:41:59,050 --> 00:42:05,170
1667
+ ุชุงู†ูŠุฉ ู‡ุงูŠ ุงู„ูƒูŠุฑู… ูˆู‡ูŠ ุจูŠู‡ ูˆู‡ูŠ ุณุงู„ุจ ุจูŠู‡ ู†ูุณ ุงู„ู‚ูŠู…ุฉ
1668
+
1669
+ 418
1670
+ 00:42:05,170 --> 00:42:10,730
1671
+ ู‡ุฏูˆู„ ู…ุงู„ู‡ู… ู…ุชุณุงูˆูŠุฉ ุฎู„ุงุต next time ุงู† ุดุงุก ุงู„ู„ู‡
1672
+
1673
+ 419
1674
+ 00:42:10,730 --> 00:42:11,110
1675
+ continue
1676
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/RxcHSWCj7U8.srt ADDED
@@ -0,0 +1,1533 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,010
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู†ุจุฏุฃ ุญู„ู‚ุฉ
4
+
5
+ 2
6
+ 00:00:24,010 --> 00:00:30,490
7
+ ุฌุฏูŠุฏุฉ ุญู„ู‚ุฉ 6 ุชุชูƒู„ู… ุนู† ูˆุงุญุฏุฉ ู…ู† ุงู„ู…ุดุงุฑูƒุงุช ุงู„ุนุงู…ุฉ ููŠ
8
+
9
+ 3
10
+ 00:00:30,490 --> 00:00:37,990
11
+ ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุงุณู…ู‡ุง ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ ุญู„ู‚ุฉ
12
+
13
+ 4
14
+ 00:00:37,990 --> 00:00:43,750
15
+ 6 ุงู„ู…ุดุงุฑูƒุฉ
16
+
17
+ 5
18
+ 00:00:43,750 --> 00:00:45,230
19
+ ุงู„ุทุจูŠุนูŠุฉ
20
+
21
+ 6
22
+ 00:00:52,820 --> 00:00:54,740
23
+ ุงู„ุขู† ู…ุงุฐุง ูŠุนู†ูŠ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
24
+
25
+ 7
26
+ 00:00:54,740 --> 00:00:57,180
27
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
28
+
29
+ 8
30
+ 00:00:57,180 --> 00:00:59,640
31
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
32
+
33
+ 9
34
+ 00:00:59,640 --> 00:01:00,020
35
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
36
+
37
+ 10
38
+ 00:01:00,020 --> 00:01:01,640
39
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
40
+
41
+ 11
42
+ 00:01:01,640 --> 00:01:03,280
43
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
44
+
45
+ 12
46
+ 00:01:03,280 --> 00:01:03,620
47
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
48
+
49
+ 13
50
+ 00:01:03,620 --> 00:01:08,800
51
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
52
+
53
+ 14
54
+ 00:01:08,800 --> 00:01:14,440
55
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
56
+
57
+ 15
58
+ 00:01:22,100 --> 00:01:29,000
59
+ around the mean and all measures of central tendency
60
+
61
+ 16
62
+ 00:01:29,000 --> 00:01:35,680
63
+ are roughly equal I mean mean, median and
64
+
65
+ 17
66
+ 00:01:35,680 --> 00:01:41,900
67
+ mode are roughly equal ุชู‚ุฑูŠุจุง ู…ุชุณุงูˆูŠุฉ ุฅุฐุง ุงู„ู€ mean
68
+
69
+ 18
70
+ 00:01:41,900 --> 00:01:49,180
71
+ equal median equal mode ู„ุฐู„ูƒ ุงู„ุชูˆุฒูŠุน ุงู„ุนุงุฏูŠ ูŠุญุชูˆูŠ
72
+
73
+ 19
74
+ 00:01:49,180 --> 00:01:57,580
75
+ ุนู„ู‰ ุซู„ุงุซ ู…ูŠุฒุงุช ูŠุจุฏูˆ ู…ุซู„ู‹ุง ุจูŠู„ ุดูŠุจุฏ ู…ูŠุฒุฉ ุญูˆู„
76
+
77
+ 20
78
+ 00:01:57,580 --> 00:02:06,140
79
+ ุงู„ู€ mean ูˆูƒู„ ู…ูŠุฒุงุช ุงู„ุชูˆุฒูŠุนุงุช ุชู‚ุฑูŠุจู‹ุง ุฃูˆ ุชู‚ุฑูŠุจุงู‹ ู…ุซู„ู‹ุง
80
+
81
+ 21
82
+ 00:02:09,770 --> 00:02:14,490
83
+ ุฎู„ูŠู†ูŠ ุฃุจุฏุฃ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุจุขูŠุฉ ู‚ุฑุขู†ูŠุฉ ุจุชูุณุฑ
84
+
85
+ 22
86
+ 00:02:14,490 --> 00:02:17,250
87
+ ุงู„ู…ุนู†ู‰ ู„ู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠุŒ ุงู„ู…ูู‡ูˆู… ุชุจุน ุงู„ุชูˆุฒูŠุน
88
+
89
+ 23
90
+ 00:02:17,250 --> 00:02:23,850
91
+ ุงู„ุทุจูŠุนูŠ ููŠ ุงู„ุตูˆุฑุฉ .. ุฅูŠู‡ ุงู„ู„ูŠ ุจุชุนุฑููŠู‡ ูŠุนู†ูŠ ู„ู„ุนู„ู…
92
+
93
+ 24
94
+ 00:02:23,850 --> 00:02:30,170
95
+ ุจุงู„ุดูŠุกุŸ ุตูˆุฑุฉ ุงู„ุฑูˆู…ุŒ ุขูŠุฉ 54 ุงู„ู„ู‡
96
+
97
+ 25
98
+ 00:02:30,170 --> 00:02:31,810
99
+ ุงู„ุฐูŠ ุฎู„ู‚ูƒู… ู…ู† ุถุนู
100
+
101
+ 26
102
+ 00:02:37,980 --> 00:02:40,840
103
+ ู„ุญุธุฉ ุถุนู ูŠุนู†ูŠ ุงู„ุจุฏุงูŠุฉ ุฎุงู„ุต ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ
104
+
105
+ 27
106
+ 00:02:40,840 --> 00:02:45,700
107
+ ู‡ู†ุง ุจุชุนุฑู ู„ุญุธุฉ ุจูŠู†ูŠ ูˆู„ุง ุฏู‡ ุตุบูŠุฑ ูŠุนู†ูŠ ูˆู„ุง ุฏู‡ ุตุบูŠุฑ
108
+
109
+ 28
110
+ 00:02:45,700 --> 00:02:52,380
111
+ ุจุนุฏูŠู† ู…ุง ุจูŠุจุฏุฃุด ุจูŠูƒุจุฑ ุดูˆูŠุฉ ุดูˆูŠุฉ ู„ุบุงูŠุฉ ู…ุง ูŠุตู„ ูˆูŠู†
112
+
113
+ 29
114
+ 00:02:52,380 --> 00:02:58,700
115
+ ุงู„ู‚ู…ุฉ ู…ุฑุญู„ุฉ ุงู„ุดุจุงุจ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ู‡ ุงู„ุฐูŠ ุฎู„ู‚ูƒู…
116
+
117
+ 30
118
+ 00:02:58,700 --> 00:03:04,200
119
+ ู…ู† ุถุนู ุซู… ุฌุนู„ู‡ ู…ู† ุจุนุฏ ุถุนู ู‚ูˆุฉ
120
+
121
+ 31
122
+ 00:03:07,210 --> 00:03:11,950
123
+ ู„ุฐู„ูƒ ุงู„ุชูˆุฒูŠุน ุจูŠุจุฏุฃ ุตุบูŠุฑุŒ ุจุนุฏูŠู† ุจูŠุจุฏุฃ ุจุงู„ุชุณุงุนุฏ ู„ุบุงูŠุฉ
124
+
125
+ 32
126
+ 00:03:11,950 --> 00:03:20,590
127
+ ู…ุง ูŠุญุตู„ ุงู„ู‚ู…ุฉ ุชุจุนุชู‡ุŒ ุซู… ุฌุนู„ู‡ ู…ู† ุจุนุฏ ุถุนู ู‚ูˆุฉุŒ ุงู„ู‚ูˆุฉ
128
+
129
+ 33
130
+ 00:03:20,590 --> 00:03:28,590
131
+ ุงู„ู„ูŠ ู‡ู†ุงุŒ ุชูŠุฌูŠ ุถุนู ู‡ู†ุงุŒ ูˆู…ุด ุจุนุฏ ุงู„ุถุนูุŒ ุดูŠุจู‡ุŒ ุซู…
132
+
133
+ 34
134
+ 00:03:28,590 --> 00:03:33,730
135
+ ุฌุนู„ู‡ ุจุนุฏ ู‚ูˆุฉุŒ ุถุนู ูˆุดูŠุจุฉ
136
+
137
+ 35
138
+ 00:03:37,660 --> 00:03:42,400
139
+ ุจุงู„ุถุจุท ู‡ุฐู‡ ุฏูˆุฑุฉ ุญูŠุงุฉ ุงู„ุฅู†ุณุงู†ุŒ ู…ุด ู‡ูŠูƒุŸ ุฏูˆุฑุฉ ุญูŠุงุฉ ุฃูŠ
140
+
141
+ 36
142
+ 00:03:42,400 --> 00:03:46,620
143
+ ูˆุงุญุฏุŒ ุฅู†ุณุงู† ูˆุบูŠุฑ ุฅู†ุณุงู†ุŒ ุจูŠุจุฏูˆ ุตุบูŠุฑุŒ ุจูŠูƒุจุฑ ุชุฏุฑูŠุฌูŠู‹ุงุŒ
144
+
145
+ 37
146
+ 00:03:46,620 --> 00:03:52,480
147
+ ุจูŠุตู„ ู„ู„ู‚ู…ุฉุŒ ูˆุจุนุฏูŠู† ุจูŠู†ุชู‡ูŠุŒ ูุทู„ุนุช ู…ุซู„ู‹ุง ุจูŠุตู„ ู„ู„ู‚ู…ุฉุŒ
148
+
149
+ 38
150
+ 00:03:52,480 --> 00:03:59,640
151
+ ู†ูุชุฑุถ ุฃู† ู‡ูŠ ุฃุฑุจุนูŠู† ุณู†ุฉ ุชู‚ุฑูŠุจู‹ุงุŒ ู…ุด ู‡ูŠูƒุŸ
152
+
153
+ 39
154
+ 00:03:59,640 --> 00:04:05,600
155
+ ุจุนุฏ ุงู„ุนู„ู…ูŠุฉ ุจูŠุจุฏูˆ ูˆุงุญุฏ ุนุงูŠุดุŒ ูŠูƒุจุฑ ูˆุจุฎู„ุต ู„ู‡ ูƒุงู†
156
+
157
+ 40
158
+ 00:04:05,600 --> 00:04:08,440
159
+ ุงู„ู€ 40 ููŠ ุงู„ูˆุณุท ุจุณู…ูŠู‡ symmetric distribution
160
+
161
+ 41
162
+ 00:04:08,440 --> 00:04:13,960
163
+ ุชูˆุฒูŠุน ู…ุชู…ุงุซู„ ู…ุน ูƒุฏู‡ ุฅูŠุด ู…ุชู…ุงุซู„ ูŠุนู†ูŠ ุงู„ู€ area to the
164
+
165
+ 42
166
+ 00:04:13,960 --> 00:04:20,400
167
+ right equals area to the left ู…ุน ูƒุฏู‡ ุงู„ู€ minimum
168
+
169
+ 43
170
+ 00:04:20,400 --> 00:04:24,660
171
+ splits the curve into two equal pieces ุงุซู†ูŠู† ุฒูŠ
172
+
173
+ 44
174
+ 00:04:24,660 --> 00:04:29,500
175
+ ุจุนุถ ูˆุงุญุฏ ุงู„ู€ right ูˆุงู„ุชุงู†ูŠ ุงู„ู€ left ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ุฃูˆู„
176
+
177
+ 45
178
+ 00:04:29,500 --> 00:04:34,550
179
+ ุฃูƒุซุฑ ุชูˆุฒูŠุน ู…ุนุฑูˆู ุงู„ู€ normal distribution ูˆู‡ุฐุง ู‡ุงุฑูƒุฒ
180
+
181
+ 46
182
+ 00:04:34,550 --> 00:04:37,110
183
+ ุน๏ฟฝ๏ฟฝูŠู‡ ุทุจุนู‹ุง ุฃู†ุช ุจุงู„ู†ุณุจุฉ ู„ูƒ ู…ู‡ู… ุฌุฏู‹ุง ุฃู†ุช ูุงู‡ู…ูŠู† ุฃู†ู‡
184
+
185
+ 47
186
+ 00:04:37,110 --> 00:04:40,950
187
+ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡ ูƒู„ ุงู„ู€ chapters ุงู„ู„ูŠ ุฌุงูŠุฉ ูŠุนู†ูŠ ู„ุบุงูŠุฉ ู…ุง
188
+
189
+ 48
190
+ 00:04:40,950 --> 00:04:46,130
191
+ ูŠุฎู„ุต ุงู„ู€ semester ูƒู„ ุดุบู„ ุนู„ู‰ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ so now
192
+
193
+ 49
194
+ 00:04:46,130 --> 00:04:48,970
195
+ let's start what are the objectives for this
196
+
197
+ 50
198
+ 00:04:48,970 --> 00:04:52,590
199
+ distribution mainly for this chapter there are
200
+
201
+ 51
202
+ 00:04:52,590 --> 00:04:58,410
203
+ three features or three objectives one to compute
204
+
205
+ 52
206
+ 00:04:58,410 --> 00:05:01,670
207
+ probabilities from the normal distribution ุจุชุญุณุจ
208
+
209
+ 53
210
+ 00:05:01,670 --> 00:05:06,520
211
+ ุงุญุชู…ุงู„ุงุชู‡ุง ุซุงู†ูŠู‹ุงุŒ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ
212
+
213
+ 54
214
+ 00:05:06,520 --> 00:05:12,140
215
+ ู„ุชุญุณูŠู† ุชุทุจูŠู‚ุงุช ุญู‚ูŠู‚ูŠุฉ ุงู„ุญูŠุงุฉ ููŠ ุงู„ู…ุนุงู…ู„ุงุชุŒ ุฎุตูˆุตู‹ุง
216
+
217
+ 55
218
+ 00:05:12,140 --> 00:05:16,340
219
+ ููŠ ุงู„ุดุฑูƒุฉุŸ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงุณุชุฎุฏุงู… ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุทุจูŠุนูŠุฉ
220
+
221
+ 56
222
+ 00:05:16,340 --> 00:05:21,980
223
+ ู„ุชุญุณูŠู† ุงู„ู…ุดุงูƒู„ ููŠ ุงู„ุดุฑูƒุฉุŸ ูˆุฃุฎูŠุฑู‹ุงุŒ ุณู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง
224
+
225
+ 57
226
+ 00:05:21,980 --> 00:05:27,000
227
+ ุงุณุชุฎุฏุงู… ุดูŠุก ูŠุณู…ู‰ ุจูˆุงุณุทุฉ ุงู„ูˆุงู‚ุนูŠุฉ ุงู„ุทุจูŠุนูŠุฉ ู„ุชุญุณูŠู†
228
+
229
+ 58
230
+ 00:05:27,000 --> 00:05:31,260
231
+ ู…ุง ุฅุฐุง ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุจูŠุงู†ุงุช ู…ู‚ุงุฑู†ุฉ ุจุดูƒู„ ุทุจูŠุนูŠุŸ
232
+
233
+ 59
234
+ 00:05:34,690 --> 00:05:41,210
235
+ ุจุชุฐูƒุฑ ุฅู†ู†ุง ุงุณุชุฎุฏู…ู†ุง ุงู„ู€ z-score ู„ู„ุชุฃูƒุฏ
236
+
237
+ 60
238
+ 00:05:41,210 --> 00:05:47,130
239
+ ุฃู† ุฃูŠ ู‚ูŠู…ุฉ ูƒุงู†ุช
240
+
241
+ 61
242
+ 00:05:47,130 --> 00:05:56,990
243
+ ุชุนุชุจุฑ ุฅูƒุณุชุฑูŠู… ุฃูˆ ุฃูˆุช ู„ุงูŠุฑ ุจุธุจุท ูŠุนู†ูŠ ููŠ ุงู„ู€ chapter
244
+
245
+ 62
246
+ 00:05:56,990 --> 00:06:01,710
247
+ 3 ุญูƒูŠู†ุง ุนู† ุงู„ูƒู„ุงู… ุงุณุชุฎุฏู…ู†ุง ุงู„ู€ z-score ู„ูˆ ูƒุงู† ุนู†ุฏูŠ
248
+
249
+ 63
250
+ 00:06:01,710 --> 00:06:04,870
251
+ data point ูˆุงุญุฏุฉ ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู†
252
+
253
+ 64
254
+ 00:06:04,870 --> 00:06:10,910
255
+ ู‡ุฐุง ุงู„ูˆุถุน ุฃูˆ ู‡ุฐุง ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ู…ูˆุฌูˆุฏ ุฃูˆ ู„ูŠุณ ู…ูˆุฌูˆุฏุŸ
256
+
257
+ 65
258
+ 00:06:10,910 --> 00:06:20,490
259
+ ู„ูƒู† ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ู…ุฑูƒุฒู†ุง ุนู„ู‰ ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ุงู„ุขู† ู‡ู„
260
+
261
+ 66
262
+ 00:06:20,490 --> 00:06:27,870
263
+ ู‡ุฐุง ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ู…ุฌู…ูˆุนุฉ ุฃูˆ ู„ูŠุณุŸ ู†ุจุญุซ ุนู† ุงู„ุจูŠุงู†ุงุช
264
+
265
+ 67
266
+ 00:06:27,870 --> 00:06:33,710
267
+ ุชู…ุงู…ู‹ุงุŒ ู„ุฐู„ูƒ ู…ุฌู„ุฏ ุงู„ุจูŠุงู†ุงุช ู‡ู„ ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ุทุจูŠุนูŠุฉ ุฃูˆ
268
+
269
+ 68
270
+ 00:06:33,710 --> 00:06:37,750
271
+ ู„ูŠุณ ุทุจูŠุนูŠุฉุŸ ู‡ุฐุง ู‡ุฏูู†ุง ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉุŒ ู„ุฐู„ูƒ ููŠ ู‚ุตุฉ T
272
+
273
+ 69
274
+ 00:06:37,750 --> 00:06:43,330
275
+ ู†ุฑูƒุฒ ูู‚ุท ุนู„ู‰ ูˆุงุญุฏุฉ ู‚ูŠู…ุฉ ู‡ู†ุง ู†ุฑูƒุฒ ุนู„ู‰ ุฌู…ูŠุน ู…ุฌู…ูˆุนุฉ
276
+
277
+ 70
278
+ 00:06:43,330 --> 00:06:47,810
279
+ ุงู„ุจูŠุงู†ุงุช ู‡ู„ ู‡ูŠ ุชู‚ุฑูŠุจู‹ุง ุทุจูŠุนูŠุฉ ุฃูˆ ู„ูŠุณ ุทุจูŠุนูŠุฉุŸ ุณุฃุจุฏุฃ
280
+
281
+ 71
282
+ 00:06:47,810 --> 00:06:54,090
283
+ ู…ุน ุงู„ูˆุงุถุญุฉ ู„ุชู†ู…ูŠุฉ ุทุจูŠุนูŠุฉ ุซู… ุณู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ู…ู‡ู…ุฉ
284
+
285
+ 72
286
+ 00:06:54,090 --> 00:06:54,810
287
+ ุงู„ุฃูˆู„ู‰
288
+
289
+ 73
290
+ 00:06:57,570 --> 00:07:00,330
291
+ ู„ู†ุจุฏุฃ ู…ุน continuous probability distributions
292
+
293
+ 74
294
+ 00:07:31,070 --> 00:07:43,210
295
+ ููŠ ุงู„ุจูŠุงู†ุงุช ู‡ู†ุงูƒ ุฃู†ูˆุงุน ู…ุฎุชู„ูุฉ ุชุณู…ู‰ ูƒูˆู†ุชู†ูŠูˆุณ ูƒูˆู†ุชู†ูŠูˆุณ
296
+
297
+ 75
298
+ 00:07:43,210 --> 00:07:50,910
299
+ ูƒูˆู†ุชู†ูŠูˆุณ ูƒูˆู†ุชู†ูŠูˆุณ ู‡ูŠ ูƒูˆู†ุชู†ูŠูˆุณ ุชุณุชุฎุฏู… ุฃูŠ ู‚ูŠู…ุฉ ุชุณุชุฎุฏู… ุฃูŠ ู‚ูŠู…ุฉ
300
+
301
+ 76
302
+ 00:07:50,910 --> 00:07:54,410
303
+ ุชุณุชุฎุฏู…
304
+
305
+ 77
306
+ 00:07:54,410 --> 00:08:00,730
307
+ ุฃูŠ ู‚ูŠู…ุฉ ุชุณุชุฎุฏู… ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู„ูˆ ูƒู†ุง ู†ุชูƒู„ู… ุนู†
308
+
309
+ 78
310
+ 00:08:00,730 --> 00:08:12,570
311
+ ุงู„ูˆุฒู† ูˆู„ูˆ ุฃู† ุงู„ูˆุฒู† ูŠุชุฑุงูˆุญ ู…ู† 60 ูƒูŠู„ูˆ ุฌุฑุงู… ุฅู„ู‰ 75
312
+
313
+ 79
314
+ 00:08:12,570 --> 00:08:17,790
315
+ ูƒูŠู„ูˆ ุฌุฑุงู…ุŒ ููƒู… ู‚ูŠู…ุฉ ู…ูˆุฌูˆุฏุฉ ุจูŠู†ู‡ู…ุŸ
316
+
317
+ 80
318
+ 00:08:25,810 --> 00:08:31,630
319
+ how many values ุฅู†ู‡ุง
320
+
321
+ 81
322
+ 00:08:31,630 --> 00:08:37,610
323
+ ู„ูˆ ุญูƒูŠุช ูˆุฒู†ู‡ุง ู…ู† 60 ุฅู„ู‰ 75 ู…ู…ูƒู† ูˆุงุญุฏ ูŠูƒูˆู† ูˆุฒู†ู‡ 63.5
324
+
325
+ 82
326
+ 00:08:37,610 --> 00:08:47,190
327
+ ู…ู…ูƒู† ูˆุงุญุฏ ูŠูƒูˆู† ูˆุฒู†ู‡ 69.980 ูŠุนู†ูŠ ูƒุซูŠุฑ ูŠุนู†ูŠ ู…ุน ูƒุฏู‡
328
+
329
+ 83
330
+ 00:08:47,190 --> 00:08:51,710
331
+ there are infinite values
332
+
333
+ 84
334
+ 00:08:51,710 --> 00:08:57,270
335
+ in this case ุนุฏุฏ ู„ุง ู†ู‡ุงุฆูŠ ุจุงู„ู‚ูŠู… ู„ูˆ ุญูƒูŠุช ู„ูƒ ุงู„ู€
336
+
337
+ 85
338
+ 00:08:57,270 --> 00:09:00,350
339
+ cellphone ุงู„ู„ูŠ ู…ุนู†ุงู‡ ุงู„ุฌูˆุงู„ุงุช ุงู„ุณู…ูƒ ุชุจุนู‡ุง
340
+
341
+ 86
342
+ 00:09:00,350 --> 00:09:06,870
343
+ thickness ู…ูุชุฑุถ ู…ู† one centimeter to three
344
+
345
+ 87
346
+ 00:09:06,870 --> 00:09:11,490
347
+ centimeters how many values are between one and
348
+
349
+ 88
350
+ 00:09:11,490 --> 00:09:15,830
351
+ three infinite numbers suppose we are talking
352
+
353
+ 89
354
+ 00:09:15,830 --> 00:09:20,310
355
+ about temperature from
356
+
357
+ 90
358
+ 00:09:20,310 --> 00:09:27,460
359
+ suppose 36 up to 40 it could be 36.1.2.3 and so on
360
+
361
+ 91
362
+ 00:09:27,460 --> 00:09:31,200
363
+ so there are infinite number of values so a
364
+
365
+ 92
366
+ 00:09:31,200 --> 00:09:33,960
367
+ continuous variable is a variable can take or can
368
+
369
+ 93
370
+ 00:09:33,960 --> 00:09:38,060
371
+ assume any value ุฃูŠ ู„ูˆ ุฃูŠ ู‚ูŠู…ุฉ for example
372
+
373
+ 94
374
+ 00:09:38,060 --> 00:09:42,900
375
+ thickness of an item ุณู…ูƒ ู„ุดุบู„ ู…ุนูŠู†ุฉ time required
376
+
377
+ 95
378
+ 00:09:42,900 --> 00:09:46,320
379
+ to complete a task ุงู„ูˆู‚ุช ุงู„ู„ูŠ ู„ุงุฒู… ุฃูˆ ุงู„ูˆู‚ุช ุงู„ู„ูŠ
380
+
381
+ 96
382
+ 00:09:46,320 --> 00:09:50,100
383
+ ู„ุงุฒู… ุชุฎู„ุต ู…ู‡ู…ุฉ ุฃูˆ ุฅู†ุฌุงุฒ ู…ู‡ู…ุฉ ู…ู…ูƒู† ุงู„ุฒู…ู† could be
384
+
385
+ 97
386
+ 00:09:50,100 --> 00:09:58,600
387
+ ุจุชุนุฑู ููŠ ุงู„ู€ running ู…ุณุงุจู‚ุงุช ุงู„ุฌุฑูŠ ู…ู…ูƒู† ูŠุฎู„ุต ุงู„ู…ุณุงูุฉ
388
+
389
+ 98
390
+ 00:09:58,600 --> 00:10:03,900
391
+ ููŠ 10 second ูŠุนู†ูŠ
392
+
393
+ 99
394
+ 00:10:03,900 --> 00:10:10,260
395
+ 10.4 ู…ุน ูƒุฏู‡ ุฏู‡ ุนุจุงุฑุฉ ุนู† fraction ู…ู…ูƒู† 3.6 and so
396
+
397
+ 100
398
+ 00:10:10,260 --> 00:10:15,340
399
+ on so if we have a fraction it means we are
400
+
401
+ 101
402
+ 00:10:15,340 --> 00:10:17,800
403
+ talking about continuous
404
+
405
+ 102
406
+ 00:10:19,670 --> 00:10:23,190
407
+ height of a solution height in inches temperature
408
+
409
+ 103
410
+ 00:10:23,190 --> 00:10:27,550
411
+ of a solution these are values these values are
412
+
413
+ 104
414
+ 00:10:27,550 --> 00:10:31,450
415
+ infinite number I mean uncountable we cannot count
416
+
417
+ 105
418
+ 00:10:31,450 --> 00:10:34,230
419
+ these values ูˆุงุถุญ ูŠุนู†ูŠ ุงู„ู€ variable ุงู„ู„ูŠ ุจูŠุงุฎุฏ ุฃูŠ
420
+
421
+ 106
422
+ 00:10:34,230 --> 00:10:40,470
423
+ ู‚ูŠู… ู†ุณู…ูŠู‡ continuous ู…ุชุตู„ ุงู„ู€ type two ู…ุด ู‡ุชูƒู„ู…
424
+
425
+ 107
426
+ 00:10:40,470 --> 00:10:45,950
427
+ ุนู„ูŠู‡ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ discrete discrete
428
+
429
+ 108
430
+ 00:10:45,950 --> 00:10:53,100
431
+ variable ู…ุด ูŠุนู†ูŠ discrete discrete ู…ุนู†ุงู‡ ู…ู†ูุตู„ ุฃูˆ
432
+
433
+ 109
434
+ 00:10:53,100 --> 00:11:00,340
435
+ ู…ุชู‚ุทุน ููŠ ุงู„ู€ discrete ุจูŠุงุฎุฏ whole number whole
436
+
437
+ 110
438
+ 00:11:00,340 --> 00:11:05,540
439
+ number ูŠุนู†ูŠ ุนุฏุฏ ุตุญูŠุญ ู„ูˆ ุญูƒูŠุช there are sixty
440
+
441
+ 111
442
+ 00:11:05,540 --> 00:11:10,040
443
+ students in this class we cannot say there are
444
+
445
+ 112
446
+ 00:11:10,040 --> 00:11:13,620
447
+ sixty point five students in this class ุฅุฐุง
448
+
449
+ 113
450
+ 00:11:13,620 --> 00:11:17,360
451
+ ุจูŠุงุฎุฏุด whole number another example suppose there
452
+
453
+ 114
454
+ 00:11:17,360 --> 00:11:26,390
455
+ are between zero to six accidents per
456
+
457
+ 115
458
+ 00:11:26,390 --> 00:11:31,150
459
+ week ู…ู† ุงู„ุตูุฑ ู„ุณุช ุญูˆุงุฏุซ ููŠ ุงู„ุฃุณุจูˆุนูŠ ู…ูˆุฌูˆุฏ ุงูุชุฑุถ ููŠ
460
+
461
+ 116
462
+ 00:11:31,150 --> 00:11:35,230
463
+ intersection ู…ุนูŠู† suppose now you want to guess
464
+
465
+ 117
466
+ 00:11:35,230 --> 00:11:40,230
467
+ number between zero and six for
468
+
469
+ 118
470
+ 00:11:40,230 --> 00:11:44,490
471
+ example maybe four accidents maybe three accidents
472
+
473
+ 119
474
+ 00:11:44,490 --> 00:11:48,010
475
+ maybe five but you cannot say there are five point
476
+
477
+ 120
478
+ 00:11:48,010 --> 00:11:54,770
479
+ six accidents per week ู…ุธุจูˆุท ุจู‚ุฏุฑุด ุงุญูƒูŠ ุฎู…ุณุฉ ูˆุณุชุฉ
480
+
481
+ 121
482
+ 00:11:54,770 --> 00:11:58,930
483
+ ุจุชุงุฎุฏ ุนุฏุฏ ุตุญูŠุญ now suppose we are talking about
484
+
485
+ 122
486
+ 00:11:58,930 --> 00:12:04,530
487
+ number of calls you received everyday ุนุฏุฏ
488
+
489
+ 123
490
+ 00:12:04,530 --> 00:12:09,370
491
+ ุงู„ู…ูƒุงู„ู…ุงุช ุงู„ู„ูŠ ุจุณุชู‚ุจู„ู‡ุง ููŠ ุงู„ูŠูˆู… ู…ุซู„ู‹ุง ranges from
492
+
493
+ 124
494
+ 00:12:09,370 --> 00:12:14,730
495
+ zero to twenty calls ุจุฑุถู‡ ู‡ูŠุงุฎุฏ whole number for
496
+
497
+ 125
498
+ 00:12:14,730 --> 00:12:19,490
499
+ instance suppose ten calls you cannot say nine
500
+
501
+ 126
502
+ 00:12:19,490 --> 00:12:20,370
503
+ point six calls
504
+
505
+ 127
506
+ 00:12:23,190 --> 00:12:27,070
507
+ ุจุดูƒู„ ุนุงู… ูŠูˆุฌุฏ ุฃู†ูˆุงุน ุฃู†ูˆุงุน ุฃู†ูˆุงุน ุฃู†ูˆุงุน
508
+
509
+ 128
510
+ 00:12:27,070 --> 00:12:29,970
511
+ ุฃู†ูˆุงุน ุฃู†ูˆุงุน ุฃู†ูˆุงุน ุฃู†ูˆุงุน ุฃู†ูˆุงุน ุฃู†ูˆุงุน
512
+
513
+ 129
514
+ 00:12:29,970 --> 00:12:34,050
515
+ ุฃู†ูˆุงุน ุฃู†ูˆุงุน ุฃู†ูˆุงุน
516
+
517
+ 130
518
+ 00:12:34,050 --> 00:12:41,910
519
+ ุฃู†ูˆุงุน
520
+
521
+ 131
522
+ 00:12:42,800 --> 00:12:45,760
523
+ ุงู„ู„ูŠ ุฃู†ุง ู‡ูˆ ุจุญูƒูŠ ุฌู…ู„ุฉ ู…ู‡ู…ุฉ ููŠ ุงู„ุขุฎุฑ this can
524
+
525
+ 132
526
+ 00:12:45,760 --> 00:12:49,700
527
+ potentially take on any value depending only on
528
+
529
+ 133
530
+ 00:12:49,700 --> 00:12:52,400
531
+ the ability to precisely and accurately measure
532
+
533
+ 134
534
+ 00:12:52,400 --> 00:12:56,800
535
+ ุชุนุชู…ุฏ ุนู„ู‰ ู‚ุฏ ุฅูŠุด ุนู†ุฏูƒ ุฏู‚ุฉ ุงู„ู‚ูŠุงุณ ู„ูˆ ูˆุงุญุฏ ุจูŠู‚ูŠุณ ุทูˆู„ูŠ
536
+
537
+ 135
538
+ 00:12:56,800 --> 00:13:08,380
539
+ 100 ู†ูุชุฑุถ ุจูŠู‚ูŠุณ ุตุญ ู‡ุญูƒูŠ ุทูˆู„ูŠ 160.75 cm it means
540
+
541
+ 136
542
+ 00:13:08,380 --> 00:13:08,900
543
+ height
544
+
545
+ 137
546
+ 00:13:11,710 --> 00:13:17,910
547
+ ู‡ูˆ ู…ุซุงู„ ู…ุณุชู…ุฑ ุฃูˆ ู…ุชุตู„ุŸ ู…ุชุตู„ ูุงู„ู‚ูŠู…ุฉ ู…ุชุตู„ุฉุŒ ู…ุฎุตุตุฉ
548
+
549
+ 138
550
+ 00:13:17,910 --> 00:13:21,010
551
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
552
+
553
+ 139
554
+ 00:13:21,010 --> 00:13:26,090
555
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
556
+
557
+ 140
558
+ 00:13:26,090 --> 00:13:27,890
559
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
560
+
561
+ 141
562
+ 00:13:27,890 --> 00:13:39,050
563
+ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ ู…ุฎุตุตุฉ
564
+
565
+ 142
566
+ 00:13:40,870 --> 00:13:46,270
567
+ ุจูŠู„ ุดูŠุจุฏ ุดูƒู„ ุงู„ุฌุฑุณ ู…ุชู…ุงุซู„
568
+
569
+ 143
570
+ 00:13:46,270 --> 00:13:52,970
571
+ ู…ูŠู† ู…ูˆุฏ ู…ูŠุฏูŠุงู† ุฃูˆ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
572
+
573
+ 144
574
+ 00:13:52,970 --> 00:13:53,050
575
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
576
+
577
+ 145
578
+ 00:13:53,050 --> 00:13:54,970
579
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
580
+
581
+ 146
582
+ 00:13:54,970 --> 00:13:56,430
583
+ ุฃูƒ๏ฟฝ๏ฟฝุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
584
+
585
+ 147
586
+ 00:13:56,430 --> 00:13:58,230
587
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
588
+
589
+ 148
590
+ 00:13:58,230 --> 00:14:10,470
591
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
592
+
593
+ 149
594
+ 00:14:11,480 --> 00:14:14,460
595
+ and is a measure of central tendency ู…ู‚ูŠุงุณ ู…ู†
596
+
597
+ 150
598
+ 00:14:14,460 --> 00:14:21,300
599
+ ู…ู‚ูŠุงุณ ุงู„ู†ุฒุนุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ุฎุงู„ุต is
600
+
601
+ 151
602
+ 00:14:21,300 --> 00:14:27,060
603
+ a normal distribution has two parameters ู…ูŠูˆ
604
+
605
+ 152
606
+ 00:14:27,060 --> 00:14:35,560
607
+ this is location is a measure of spread ุณูŠุฌู…ุง
608
+
609
+ 153
610
+ 00:14:37,880 --> 00:14:44,920
611
+ ูˆุงู„ู…ุนู†ู‰ ู‡ูˆ ู…ุฌู…ูˆุนุฉ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฌู…ูˆุนุฉ ู…ุฑูƒุฒูŠุฉ ุฃูˆ
612
+
613
+ 154
614
+ 00:14:44,920 --> 00:14:47,480
615
+ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ
616
+
617
+ 155
618
+ 00:14:47,480 --> 00:14:48,860
619
+ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ
620
+
621
+ 156
622
+ 00:14:48,860 --> 00:14:50,020
623
+ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ
624
+
625
+ 157
626
+ 00:14:50,020 --> 00:14:53,060
627
+ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ
628
+
629
+ 158
630
+ 00:14:53,060 --> 00:14:53,360
631
+ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ
632
+
633
+ 159
634
+ 00:14:53,360 --> 00:14:56,200
635
+ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ
636
+
637
+ 160
638
+ 00:14:56,200 --> 00:15:05,870
639
+ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุฑูƒุฒูŠุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู…ู…ูƒู† ุชุฃุฎุฐ ุฃูŠ ู‚ูŠู…
640
+
641
+ 161
642
+ 00:15:05,870 --> 00:15:10,790
643
+ ู…ู† ุณุงู„ุจ ุฅู„ู‰ ู…ูˆุฌุจ ุฅุถุงููŠ ุฅู„ู‰ ู…ูˆุฌุจ ุฅุถุงููŠ ู„ุฅูŠู‡ ุจูŠุงุฎุฏ ุฃูŠ
644
+
645
+ 162
646
+ 00:15:10,790 --> 00:15:14,790
647
+ ู‚ูŠู… ุณุงู„ุจ ูˆู…ูˆุฌุจ plus ู„ุฃู†ู‡ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏ ุงู„ู€
648
+
649
+ 163
650
+ 00:15:14,790 --> 00:15:20,730
651
+ temperature ุงู„ู€ temperature could be negative ู„ู…ุง
652
+
653
+ 164
654
+ 00:15:20,730 --> 00:15:27,230
655
+ ุฃุชูƒู„ู… ุนู† ุงู„ู€ sales is always positive if we are
656
+
657
+ 165
658
+ 00:15:27,230 --> 00:15:32,110
659
+ talking about unemployment unemployment
660
+
661
+ 166
662
+ 00:15:32,110 --> 00:15:33,490
663
+ rates
664
+
665
+ 167
666
+ 00:15:36,240 --> 00:15:40,080
667
+ ุจูˆุฒูŠุชูŠู ูˆุนุฏู„ุงุช ุงู„ุจุทุงู„ุฉ ุฏูŠ ู‡ูŠ ุงู„ู…ูˆุฌุจุฉ ุจู‚ู‰ ู…ุง ููŠุด
668
+
669
+ 168
670
+ 00:15:40,080 --> 00:15:44,560
671
+ ู…ุทุงู„ุจ ู†ูŠุฌุงุชูŠู ู„ูƒู†
672
+
673
+ 169
674
+ 00:15:44,560 --> 00:15:47,720
675
+ ุฅุฐุง ุจุญูƒูŠ ุนู„ู‰ ู…ุซู„ู‹ุง ุงู„ู€ temperature could be negative
676
+
677
+ 170
678
+ 00:15:47,720 --> 00:15:50,800
679
+ ุชุบูŠุฑุงุช
680
+
681
+ 171
682
+ 00:15:50,800 --> 00:15:53,480
683
+ ุงู„ุญุฑุงุฑุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„ู€ variable ูŠุงุฎุฏ plus or
684
+
685
+ 172
686
+ 00:15:53,480 --> 00:15:58,020
687
+ negative values ุฅุฐุง random variable has an
688
+
689
+ 173
690
+ 00:15:58,020 --> 00:16:01,040
691
+ infinite theoretical range from minus infinity up
692
+
693
+ 174
694
+ 00:16:01,040 --> 00:16:05,400
695
+ to plus infinity now this is the mean ุงู„ู‚ูŠู…ุฉ ููŠ
696
+
697
+ 175
698
+ 00:16:05,400 --> 00:16:12,400
699
+ ุงู„ูˆุณุท ูˆุงู„ุณูŠุฌู…ุง ูู‚ุท ุงู„ู…ุดุฑูˆุน ุญูˆู„ ุงู„ู…ุตุทู„ุญ ุงู„ุขู† ุฅุฐุง
700
+
701
+ 176
702
+ 00:16:12,400 --> 00:16:16,060
703
+ ูƒุงู† ู„ุฏูŠู†ุง ู‡ุฐุง ุงู„ุณูŠุฌู…ุง ุฑุจู…ุง ุงู„ุณูŠุฌู…ุง ู…ุซู„ู‹ุง ู‡ูˆ 1
704
+
705
+ 177
706
+ 00:16:16,060 --> 00:16:21,680
707
+ ุฑุจู…ุง ุงู„ู…ุตุทู„ุญ ู‡ูˆ 50 ุฃูˆ 70 ูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ
708
+
709
+ 178
710
+ 00:16:21,680 --> 00:16:24,900
711
+ ู„ุฏูŠู†ุง
712
+
713
+ 179
714
+ 00:16:24,900 --> 00:16:29,920
715
+ ุงู„ูˆุฒู†
716
+
717
+ 180
718
+ 00:16:29,920 --> 00:16:33,720
719
+ ุงู„ุนุงุฏูŠ ุงู„ูˆุฒู† ุงู„ุนุงุฏูŠ ุงู„ูˆุฒู† ุงู„ุนุงุฏูŠ
720
+
721
+ 181
722
+ 00:16:35,250 --> 00:16:41,250
723
+ ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ ู„ู† ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู…ูŠุฒุฉ ู„ุชุญุฏูŠุซ ุงู„ู…ูŠุฒุฉ
724
+
725
+ 182
726
+ 00:16:41,250 --> 00:16:44,970
727
+ ูŠุนู†ูŠ ุงู„ู…ูŠุฒุฉ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุด ู‡ู†ุณุชุฎุฏู…ู‡ุง ู…ุฌุฑุฏ ูˆุญุทู‡ุง ููŠ
728
+
729
+ 183
730
+ 00:16:44,970 --> 00:16:48,410
731
+ ุงู„ูƒุชุงุจ ุฃู†ู‡ ุนุฑูู‡ุง ุฏูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠุฒุฉ ู„ู†ูˆุฑู…ุงู„
732
+
733
+ 184
734
+ 00:16:48,410 --> 00:16:53,030
735
+ ุฏุณุชุฑุจูŠูˆุดู† ู„ุฐู„ูƒ ู†ู†ู‚ู„ ู‡ุฐุง ุงู„ุตูุญุฉ ูŠุนู†ูŠ ู…ุด ู‡ู†ุณุชุฎุฏู… ู‡ุฐุง
736
+
737
+ 185
738
+ 00:16:53,030 --> 00:16:57,390
739
+ ุงู„ุตูุญุฉ ุงู„ุตูุญุฉ
740
+
741
+ 186
742
+ 00:16:57,390 --> 00:16:58,530
743
+ ุงู„ู„ูŠ ูุงุชุช ู…ุด ู‡ู†ุงุฎุฏู‡ุง
744
+
745
+ 187
746
+ 00:17:01,790 --> 00:17:08,710
747
+ ุงู†ุธุฑูˆุง ุฅู„ู‰ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุฃุดูƒุงู„ ุฃูˆ ุฃุดูƒุงู„ A,B ูˆC ุงู†ุธุฑูˆุง
748
+
749
+ 188
750
+ 00:17:08,710 --> 00:17:14,15
751
+
752
+ 216
753
+ 00:19:43,090 --> 00:19:48,850
754
+ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู†ุง ู„ุฏูŠู†ุง ุนุฏุฏ ุนุงุฏูŠ ู…ู† ุงู„ูˆุถุน ุงู„ุนุงุฏูŠ ูŠุนู†ูŠ
755
+
756
+ 217
757
+ 00:19:48,850 --> 00:19:52,580
758
+ ููŠ ู‡ู†ุง ุนุฏุฏ ูƒุจูŠุฑ ู„ุฃู†ู‡ุง ุฃู…ุซู„ุฉ ู„ู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ
759
+
760
+ 218
761
+ 00:19:52,580 --> 00:19:56,740
762
+ ุทุงู„ู…ุง ุงู„ู€ mu ุจุชุฃุฎุฐ ุฃูŠ ู‚ูŠู…ุฉ ูˆุงู„ู€ sigma ุจุชุฃุฎุฐ
763
+
764
+ 219
765
+ 00:19:56,740 --> 00:20:00,440
766
+ positive ู…ุน ูƒุฏู‡ ู„ูˆ ุฃู†ุง ุจุฏูŠ ุฃุนู…ู„ combination ู„ู‡ู…
767
+
768
+ 220
769
+ 00:20:00,440 --> 00:20:05,280
770
+ ู…ู…ูƒู† ุฃุญูƒูŠ normal with mean 50 and sigma 1 ู‡ุฐุง ู‡ูˆ
771
+
772
+ 221
773
+ 00:20:05,280 --> 00:20:10,140
774
+ ู…ุซุงู„ ู…ู…ูƒู† ูˆุงุญุฏ ุซุงู†ูŠ ูŠุญูƒูŠ ุงู„ู€ mean the same
775
+
776
+ 222
777
+ 00:20:10,140 --> 00:20:17,200
778
+ the same mean but different sigma, sigma is two ุฃูˆ ู…ู…ูƒู† ูŠูƒูˆู†
779
+
780
+ 223
781
+ 00:20:17,200 --> 00:20:22,420
782
+ ู…ุฎุชู„ู ูŠุนู†ูŠ ู…ูŠูˆ ูŠุณุงูˆูŠ ุณุชุฉ ูˆ ุณูŠุฌู…ุง ูŠุณุงูˆูŠ ุฃุฑุจุนุฉ ูู‡ุฐุง A
783
+
784
+ 224
785
+ 00:20:22,420 --> 00:20:27,920
786
+ ู…ุซู„ุงู‹ B ูˆ C ูู‡ูˆ ูู‚ุท ุซู„ุงุซุฉ ุฃู…ุซู„ุฉ A ูˆ B ุฅุฐุง ุชู†ุธุฑ ู‡ู†ุง A
787
+
788
+ 225
789
+ 00:20:27,920 --> 00:20:35,680
790
+ ูˆ B ู„ุฏูŠู‡ู… ู†ูุณ ุงู„ู€ mean ุจุนุฏ ุฐู„ูƒ ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C
791
+
792
+ 226
793
+ 00:20:35,680 --> 00:20:39,240
794
+ ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C
795
+
796
+ 227
797
+ 00:20:39,240 --> 00:20:43,600
798
+ ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C
799
+
800
+ 228
801
+ 00:20:43,600 --> 00:20:50,120
802
+ ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ B ูˆ C
803
+
804
+ 229
805
+ 00:20:50,120 --> 00:20:54,860
806
+ ุจุฑู†ุงู…ุฌ B ูˆ C ุจุฑู†ุงู…ุฌ
807
+
808
+ 230
809
+ 00:20:56,680 --> 00:20:58,280
810
+ ุจุณูŠุทุฉ ุนู„ู‰ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
811
+
812
+ 231
813
+ 00:20:58,280 --> 00:20:59,020
814
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
815
+
816
+ 232
817
+ 00:20:59,020 --> 00:21:00,460
818
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
819
+
820
+ 233
821
+ 00:21:00,460 --> 00:21:03,960
822
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
823
+
824
+ 234
825
+ 00:21:03,960 --> 00:21:07,200
826
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
827
+
828
+ 235
829
+ 00:21:07,200 --> 00:21:08,500
830
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
831
+
832
+ 236
833
+ 00:21:08,500 --> 00:21:15,580
834
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
835
+
836
+ 237
837
+ 00:21:15,580 --> 00:21:22,660
838
+ ุนู…ู„
839
+
840
+ 238
841
+ 00:21:22,750 --> 00:21:25,110
842
+ ุฅุฐุง ูƒุฏู‡ ุงู„ู€ standard .. ุงู„ู€ normal ุดูˆูŠุฉ ุตุนุจ
843
+
844
+ 239
845
+ 00:21:25,110 --> 00:21:31,270
846
+ ุจุงู„ู†ุณุจุฉ ู„ู†ุง ู„ุฃู†ู‡ ุจูŠุฃุฎุฐ ู…ูŠูˆุฒ ูˆ ุณูŠุฌู…ุงุฒ ู…ุฎุชู„ูุฉ ุจุงู„ุดูƒู„
847
+
848
+ 240
849
+ 00:21:31,270 --> 00:21:35,150
850
+ ุฃุณู‡ู„ ููŠ ุงู„ุชุนุงู…ู„ ู„ุณู‡ ุงู„ู„ูŠ ุงุญู†ุง ู†ุญูƒูŠ ุนู„ูŠู‡ ุงุณู…ู‡
851
+
852
+ 241
853
+ 00:21:35,150 --> 00:21:41,370
854
+ standardized normal ุฅูŠุด ูŠุนู†ูŠ standardized ู…ุนูŠุงุฑูŠ
855
+
856
+ 242
857
+ 00:21:41,370 --> 00:21:50,090
858
+ ู†ุชูƒู„ู… ุนู„ู‰ standardized normal
859
+
860
+ 243
861
+ 00:21:51,680 --> 00:22:00,060
862
+ ู‡ูˆ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ุงู„ู…ุนูŠุงุฑูŠ Now let's look at the
863
+
864
+ 244
865
+ 00:22:00,060 --> 00:22:04,220
866
+ difference between Normal distribution and this
867
+
868
+ 245
869
+ 00:22:04,220 --> 00:22:07,960
870
+ one Normal The one we just described Normal
871
+
872
+ 246
873
+ 00:22:07,960 --> 00:22:11,940
874
+ distribution Normal has different mean and sigma
875
+
876
+ 247
877
+ 00:22:11,940 --> 00:22:15,000
878
+ But
879
+
880
+ 248
881
+ 00:22:15,000 --> 00:22:20,180
882
+ for standardized normal any normal distribution ู‡ูˆ
883
+
884
+ 249
885
+ 00:22:20,180 --> 00:22:27,100
886
+ ุนุจุงุฑุฉ ุนู† ุชูˆุฒูŠุน ุทุจูŠุนูŠ with any mean and standard
887
+
888
+ 250
889
+ 00:22:27,100 --> 00:22:31,280
890
+ deviation combination can be transformed into the
891
+
892
+ 251
893
+ 00:22:31,280 --> 00:22:34,900
894
+ standardized normal ูŠุนู†ูŠ ุฃู†ุง ุจุญูƒูŠ ุฃูŠ ุชูˆุฒูŠุน normal
895
+
896
+ 252
897
+ 00:22:34,900 --> 00:22:37,500
898
+ ู…ู…ูƒู† ุฃุญูˆู„ู‡ ู„ู…ูŠู†ุŸ ู„ู€ standardized ูˆู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุง
899
+
900
+ 253
901
+ 00:22:37,500 --> 00:22:42,720
902
+ ุนุงูŠุฒู‡ ุฅุฐุง ุงู„ุขู† ุจู†ุนู…ู„ convert ู…ู† normal
903
+
904
+ 254
905
+ 00:22:42,720 --> 00:22:48,100
906
+ distribution ู„ู€ standardized normal ู„ูˆ ุชู‚ูˆู… ุจู…ุซุงู„ุงุช
907
+
908
+ 255
909
+ 00:22:48,100 --> 00:22:50,120
910
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
911
+
912
+ 256
913
+ 00:22:50,120 --> 00:22:51,240
914
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
915
+
916
+ 257
917
+ 00:22:51,240 --> 00:22:54,860
918
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
919
+
920
+ 258
921
+ 00:22:54,860 --> 00:22:55,900
922
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
923
+
924
+ 259
925
+ 00:22:55,900 --> 00:22:57,380
926
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
927
+
928
+ 260
929
+ 00:22:57,380 --> 00:23:02,800
930
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช
931
+
932
+ 261
933
+ 00:23:02,800 --> 00:23:03,820
934
+ ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ
935
+
936
+ 262
937
+ 00:23:03,820 --> 00:23:16,280
938
+ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซุงู„ุงุช ุนุงุฏูŠุฉ ุจู…ุซ
939
+
940
+ 263
941
+ 00:23:19,070 --> 00:23:24,310
942
+ ุจุชุญูˆู„ ู…ู† ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู„ู…ุนูŠุงุฑูŠ ุทูŠุจ ู…ุด ุงู„ู…ูŠุฒุฉ ุชุจุน
943
+
944
+ 264
945
+ 00:23:24,310 --> 00:23:26,710
946
+ ุงู„ู€ standardized ุงู„ู€ standardized normal
947
+
948
+ 265
949
+ 00:23:26,710 --> 00:23:30,790
950
+ distributions ู‡ูŠ has mean of zero and standard
951
+
952
+ 266
953
+ 00:23:30,790 --> 00:23:35,730
954
+ deviation of one ู‡ุฐุง ุงู„ุฌุฏูŠุฏ ุงู„ู€ mean ุชุจุนู‡ุง zero ูˆุงู„ู€
955
+
956
+ 267
957
+ 00:23:35,730 --> 00:23:41,990
958
+ sigma is one ุทูŠุจ ุงู„ู€ normal ูƒุงู† ู…ุงู„ู‡ ุงู„ู€ mean ุชุจุนู‡ุง
959
+
960
+ 268
961
+ 00:23:41,990 --> 00:23:44,790
962
+ ุฃูŠ value ู…ู† ุณุงู„ุจ infinity ู„ู€ plus infinity ูˆุงู„ู€
963
+
964
+ 269
965
+ 00:23:44,790 --> 00:23:47,490
966
+ sigma ู…ู† zero ู„ู€ infinity ู…ุน ูƒุฏู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ ุนู†ุฏูŠ
967
+
968
+ 270
969
+ 00:23:47,490 --> 00:23:51,530
970
+ infinite ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง just one value, zero and
971
+
972
+ 271
973
+ 00:23:51,530 --> 00:23:59,830
974
+ one ุจุณ
975
+
976
+ 272
977
+ 00:23:59,830 --> 00:24:02,790
978
+ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง just one value, zero and one ุจุณ ุฏู‡
979
+
980
+ 273
981
+ 00:24:02,790 --> 00:24:04,170
982
+ ุจูŠุฃุฎุฐ ูŠุง just one value, zero and one ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ
983
+
984
+ 274
985
+ 00:24:04,170 --> 00:24:04,210
986
+ one value, zero and one ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง just one
987
+
988
+ 275
989
+ 00:24:04,210 --> 00:24:04,750
990
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง just one
991
+
992
+ 276
993
+ 00:24:04,750 --> 00:24:06,650
994
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง just one
995
+
996
+ 277
997
+ 00:24:06,650 --> 00:24:12,390
998
+ value, zero and one ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง
999
+
1000
+ 278
1001
+ 00:24:12,390 --> 00:24:15,530
1002
+ just one value, zero and one ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง just
1003
+
1004
+ 279
1005
+ 00:24:15,530 --> 00:24:15,730
1006
+ one value, zero and one ุจุณ ุฏู‡ ุจูŠุฃุฎุฐ ูŠุง just one
1007
+
1008
+ 280
1009
+ 00:24:15,730 --> 00:24:19,790
1010
+ value, zero and one ุจุณ ุจุณุจุจ ุงู„ุชุญูˆูŠู„ ุฃู† ุงู„ู…ุนูŠุงุฑูŠ
1011
+
1012
+ 281
1013
+ 00:24:19,790 --> 00:24:27,290
1014
+ ู…ุงู„ู‡ ุฃุณู‡ู„ ู„ุฃู†ู‡ ู‚ูŠู…ุฉ ู…ุญุฏุฏุฉ ู…ูŠู† ุตูุฑ ูˆุณูŠุฌู…ุง ูˆุงุญุฏ ู„ูƒู†
1015
+
1016
+ 282
1017
+ 00:24:27,290 --> 00:24:31,450
1018
+ ุงู„ู€ normal ุงู„ุนุงุฏูŠ ู…ุงู„ู‡ infinite number of means ู…ู†
1019
+
1020
+ 283
1021
+ 00:24:31,450 --> 00:24:34,530
1022
+ ุณุงู„ุจ infinite ู„ู€ plus infinity ูˆุงู„ู€ sigma ู…ู† zero ู„ู€
1023
+
1024
+ 284
1025
+ 00:24:34,530 --> 00:24:37,890
1026
+ infinity ุงุญู†ุง ุชุนุจู†ุง ู…ู† ุซู„ุงุซุฉ ุจุณ ูุงู†ุชุจู‡ูŠูƒ ู„ูˆ ูƒุงู†
1027
+
1028
+ 285
1029
+ 00:24:37,890 --> 00:24:41,590
1030
+ independent ุซู„ุงุซุฉ ุชู„ุงุชู…ูŠุฉ ูˆุงุญุฏ ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉ ุนุดุงู† ูƒุฏู‡
1031
+
1032
+ 286
1033
+ 00:24:41,590 --> 00:24:46,690
1034
+ ู‡ู†ุญูˆู„ ู…ู† normal ู„ู€ standardized how can we
1035
+
1036
+ 287
1037
+ 00:24:46,690 --> 00:24:53,720
1038
+ translate ู…ู† ุทุจูŠุนูŠ ุฅู„ู‰ ู…ุนูŠุงุฑูŠ ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ุงู„ุญู„ู‚ุฉ
1039
+
1040
+ 288
1041
+ 00:24:53,720 --> 00:25:04,080
1042
+ ุงู„ุซุงู„ุซุฉ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ู‚ุงุฑู†ุฉ ุฒูŠ ุฒูŠ ู…ู‚ุงุฑู†ุฉ ุฒูŠ
1043
+
1044
+ 289
1045
+ 00:25:04,080 --> 00:25:06,060
1046
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1047
+
1048
+ 290
1049
+ 00:25:06,060 --> 00:25:07,020
1050
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1051
+
1052
+ 291
1053
+ 00:25:07,020 --> 00:25:07,180
1054
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1055
+
1056
+ 292
1057
+ 00:25:07,180 --> 00:25:07,440
1058
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1059
+
1060
+ 293
1061
+ 00:25:07,440 --> 00:25:10,180
1062
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1063
+
1064
+ 294
1065
+ 00:25:10,180 --> 00:25:13,740
1066
+ ุฒูŠ ุฒูŠ
1067
+
1068
+ 295
1069
+ 00:25:13,740 --> 00:25:22,680
1070
+ ุฒูŠ ุฒูŠ ูŠุนู†ูŠ ุงุชุฌุงุฑุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1071
+
1072
+ 296
1073
+ 00:25:22,680 --> 00:25:23,460
1074
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1075
+
1076
+ 297
1077
+ 00:25:23,460 --> 00:25:23,740
1078
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1079
+
1080
+ 298
1081
+ 00:25:23,740 --> 00:25:24,880
1082
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1083
+
1084
+ 299
1085
+ 00:25:24,880 --> 00:25:28,900
1086
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1087
+
1088
+ 300
1089
+ 00:25:28,900 --> 00:25:32,200
1090
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
1091
+
1092
+ 301
1093
+ 00:25:32,200 --> 00:25:39,960
1094
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…
1095
+
1096
+ 302
1097
+ 00:25:41,280 --> 00:25:48,520
1098
+ ุงู„ู€ z distribution ุฏุงุฆู…ู‹ุง ู„ุฏูŠู‡
1099
+
1100
+ 303
1101
+ 00:25:48,520 --> 00:25:54,760
1102
+ ู…ูŠู† ุชุจุนู‡ุง 0 ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1103
+
1104
+ 304
1105
+ 00:25:54,760 --> 00:26:03,560
1106
+ ูˆู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1107
+
1108
+ 305
1109
+ 00:26:03,560 --> 00:26:09,900
1110
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1111
+
1112
+ 306
1113
+ 00:26:09,900 --> 00:26:10,000
1114
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ
1115
+
1116
+ 307
1117
+ 00:26:10,000 --> 00:26:11,200
1118
+ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠูˆุฒูŠุฑูˆ ู…ูŠุฃูŠ ุณุคุงู„
1119
+
1120
+ 308
1121
+ 00:26:11,200 --> 00:26:16,400
1122
+ ู…ูˆุฌูˆุฏุŸ
1123
+
1124
+ 309
1125
+ 00:26:16,400 --> 00:26:21,000
1126
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ุฐู‡ ู‡ูŠ ู…ูู‡ูˆู…ุฉ ุงู„ู€ z ุชุจุน ุงู„ู€ Standardized
1127
+
1128
+ 310
1129
+ 00:26:21,000 --> 00:26:26,880
1130
+ Normal ุฃูŠุถู‹ุง ุชู†ุณู‰ ู‡ุฐู‡ ุงู„ุตูุญุฉ ู‡ุฐุง ู…ุด ุนุงูŠุฒูŠู†ู‡ ุฅุฐุง ู‡ูˆ
1131
+
1132
+ 311
1133
+ 00:26:26,880 --> 00:26:31,300
1134
+ ูˆุงุถุญ ุงู„ู„ูŠ ุนู†ุฏูŠ two slides ุฃุนู…ู„ ู„ู‡ู… skip ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ู€
1135
+
1136
+ 312
1137
+ 00:26:31,300 --> 00:26:33,000
1138
+ normal ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ู€ standardized
1139
+
1140
+ 313
1141
+ 00:26:37,600 --> 00:26:44,500
1142
+ Standardized Normal Distribution Known as Z ูŠุนู†ูŠ
1143
+
1144
+ 314
1145
+ 00:26:44,500 --> 00:26:50,140
1146
+ ุจุฏู„ ู…ุง ุฃุญูƒูŠ Standardized Normal Distribution ู‡ู†ุงุฎุฏ
1147
+
1148
+ 315
1149
+ 00:26:50,140 --> 00:26:55,840
1150
+ ุงุฎุชุตุงุฑ ู„ู‡ุง ุจุณ Z Distribution ูุงู„ู€ Z ููŠ ุงู„ู€
1151
+
1152
+ 316
1153
+ 00:26:55,840 --> 00:27:01,380
1154
+ statistics ู…ุนู†ุงู‡ุง Standardized
1155
+
1156
+ 317
1157
+ 00:27:01,380 --> 00:27:05,010
1158
+ Normal ูŠุนู†ูŠ ุจุฏู„ ู…ุง ุฃุญูƒ๏ฟฝ๏ฟฝ standardized normal ู‡ุฃุญูƒูŠ z
1159
+
1160
+ 318
1161
+ 00:27:05,010 --> 00:27:11,110
1162
+ ุฅุฐุง and always we just use z instead of
1163
+
1164
+ 319
1165
+ 00:27:11,110 --> 00:27:15,990
1166
+ standardized normal now this z has mean of zero
1167
+
1168
+ 320
1169
+ 00:27:15,990 --> 00:27:19,950
1170
+ and standard deviation of one this is the mean and
1171
+
1172
+ 321
1173
+ 00:27:19,950 --> 00:27:25,210
1174
+ this is sigma, sigma is one now value for z we
1175
+
1176
+ 322
1177
+ 00:27:25,210 --> 00:27:28,410
1178
+ have negative and plus values so we have negative
1179
+
1180
+ 323
1181
+ 00:27:28,410 --> 00:27:34,060
1182
+ values and positive values Values above the mean
1183
+
1184
+ 324
1185
+ 00:27:34,060 --> 00:27:39,420
1186
+ have positive z ุงู„ู‚ูŠู… ุงู„ุฃุนู„ู‰ ู…ู† ุงู„ู€ mean in this
1187
+
1188
+ 325
1189
+ 00:27:39,420 --> 00:27:43,920
1190
+ direction Zero and above we have positive z
1191
+
1192
+ 326
1193
+ 00:27:43,920 --> 00:27:49,140
1194
+ Negative z it means to the left side of zero So
1195
+
1196
+ 327
1197
+ 00:27:49,140 --> 00:27:52,780
1198
+ values above the mean have positive z values while
1199
+
1200
+ 328
1201
+ 00:27:52,780 --> 00:27:58,990
1202
+ values below the mean have negative z values ุจุชูƒูˆู†
1203
+
1204
+ 329
1205
+ 00:27:58,990 --> 00:28:03,150
1206
+ ู…ูˆุฌูˆุฏุฉ ู…ุน z score ุชุจุนู‡ุง ุทุจูŠุนูŠ ู…ุดุงูƒู„ ู„ู…ุง ูƒุงู†ุช ุงู„ู€ x
1207
+
1208
+ 330
1209
+ 00:28:03,150 --> 00:28:06,750
1210
+ ุฃูƒุจุฑ ู…ู† ุงู„ู€ mean ุชุฐูƒุฑ ุงู„ู€ x is greater than the mean
1211
+
1212
+ 331
1213
+ 00:28:06,750 --> 00:28:10,810
1214
+ then z is positive ูˆุงู„ุนูƒุณ ู„ูˆ ูƒุงู†ุช x ุฃู‚ู„ ู…ู† ุงู„ู€
1215
+
1216
+ 332
1217
+ 00:28:10,810 --> 00:28:16,110
1218
+ mean ู†ูŠุฌุงุชูŠู I think we discussed this issue in
1219
+
1220
+ 333
1221
+ 00:28:16,110 --> 00:28:22,410
1222
+ chapter 3 when we said z is positive if x is
1223
+
1224
+ 334
1225
+ 00:28:22,410 --> 00:28:26,450
1226
+ greater than the mean ู„ุฐู„ูƒ ุฅุฐุง ู‚ูŠู…ุฉ ุฃูƒุซุฑ ู…ู† ุงู„ู€ meanุŒ
1227
+
1228
+ 335
1229
+ 00:28:26,450 --> 00:28:31,270
1230
+ ูู€ z ู‡ูˆ ุฃูƒุซุฑ ู…ู† ุงู„ู€ mean ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1231
+
1232
+ 336
1233
+ 00:28:31,270 --> 00:28:33,050
1234
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
1235
+
1236
+ 337
1237
+ 00:28:56,960 --> 00:29:12,060
1238
+ ุณุฃุนุทูŠ ุจุนุถ ุงู„ุฃู…ุซู„ุฉ ู‡ู†ุง ุฅุฐุง
1239
+
1240
+ 338
1241
+ 00:29:12,060 --> 00:29:21,960
1242
+ X ูƒุงู† ุฃุฌุฑู‹ุง ู…ุฌุชู…ุนูŠู‹ุง ููŠ ู‡ุฐุง ุงู„ู…ุซุงู„ X ู„ุฏูŠู‡ ุฃุฌุฑู‹ุง ู…ุน
1243
+
1244
+ 339
1245
+ 00:29:27,330 --> 00:29:36,230
1246
+ ู…ุนู†ู‰ 100 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ
1247
+
1248
+ 340
1249
+ 00:29:36,230 --> 00:29:37,770
1250
+ ู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ
1251
+
1252
+ 341
1253
+ 00:29:37,770 --> 00:29:38,450
1254
+ ู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ
1255
+
1256
+ 342
1257
+ 00:29:38,450 --> 00:29:40,730
1258
+ ู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰
1259
+
1260
+ 343
1261
+ 00:29:40,730 --> 00:29:40,890
1262
+ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ
1263
+
1264
+ 344
1265
+ 00:29:40,890 --> 00:29:42,170
1266
+ ู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ
1267
+
1268
+ 345
1269
+ 00:29:42,170 --> 00:29:46,070
1270
+ ู…ุนู†ู‰
1271
+
1272
+ 346
1273
+ 00:29:46,070 --> 00:29:49,370
1274
+ 50
1275
+
1276
+ 347
1277
+ 00:29:49,370 --> 00:29:59,660
1278
+ ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆู…ุนู†ู‰ 50 ุฏูˆู„ุงุฑ ุฃู…ุฑูŠูƒูŠ ูˆุงู„ุณุนุฑ ู„ุฏูŠู‡
1279
+
1280
+ 348
1281
+ 00:29:59,660 --> 00:30:03,680
1282
+ ุงุชุฌุงุฑุฉ ุนุงุฏูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ 100 ุฏูˆู„ุงุฑ ูˆุณูŠุฌู…ุง 50
1283
+
1284
+ 349
1285
+ 00:30:03,680 --> 00:30:12,280
1286
+ ุฏูˆู„ุงุฑ ุฅุฐุง ุณุนุฑ 200 ุฏูˆู„ุงุฑ ู…ุงุฐุง
1287
+
1288
+ 350
1289
+ 00:30:12,280 --> 00:30:20,020
1290
+ ูŠุนู†ูŠ ุฒูŠ ุณุฌู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฏุนูˆู†ุง ุฃูˆู„ู‹ุง ู†ุญุณุจ ุฒูŠ
1291
+
1292
+ 351
1293
+ 00:30:20,020 --> 00:30:24,080
1294
+ ูŠุนู†ูŠ x ู†ุงู‚ุต ุงู„ู…ูŠู† ุนู„ู‰ ุณูŠุฌู…ุง
1295
+
1296
+ 352
1297
+ 00:30:27,760 --> 00:30:40,080
1298
+ X ู‡ูˆ 200 ุงู„ู…ูŠู† ู‡ูˆ 100 ุณูŠุฌู…ุง ู‡ูˆ 50 ู‡ุฐุง ูŠุนู†ูŠ 2 ุงู„ุขู†
1299
+
1300
+ 353
1301
+ 00:30:40,080 --> 00:30:47,980
1302
+ ู‚ูŠู…ุฉ 2 ู…ุงุฐุง ูŠุนู†ูŠ ู‚ูŠู…ุฉ 2ุŸ ูŠุนู†ูŠ X ู‡ูˆ 200 ุฃู†ู‡ 2
1303
+
1304
+ 354
1305
+ 00:30:47,980 --> 00:30:52,220
1306
+ ู…ู‚ุงุฑู†ุฉ ุนุงุฏูŠุฉ ุฃุนู„ู‰ ุงู„ู€ mean ุจูƒุซูŠุฑ ุฅุฐุง ู‡ุฐุง ูŠู‚ูˆู„ ุฃู† ู‚ูŠู…ุฉ
1307
+
1308
+ 355
1309
+ 00:30:52,220 --> 00:30:55,560
1310
+ 200 ุงู†ุชู‚ู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1311
+
1312
+ 356
1313
+ 00:30:55,560 --> 00:30:58,260
1314
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1315
+
1316
+ 357
1317
+ 00:30:58,260 --> 00:31:02,980
1318
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1319
+
1320
+ 358
1321
+ 00:31:02,980 --> 00:31:03,380
1322
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1323
+
1324
+ 359
1325
+ 00:31:03,380 --> 00:31:03,400
1326
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1327
+
1328
+ 360
1329
+ 00:31:03,400 --> 00:31:03,480
1330
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1331
+
1332
+ 361
1333
+ 00:31:03,480 --> 00:31:06,040
1334
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1335
+
1336
+ 362
1337
+ 00:31:06,040 --> 00:31:09,080
1338
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1339
+
1340
+ 363
1341
+ 00:31:09,080 --> 00:31:10,920
1342
+ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„ ุงู„ุงู†ุชู‚ุงู„
1343
+
1344
+ 364
1345
+ 00:31:22,660 --> 00:31:28,580
1346
+ your wage and the mean is twice sigma ุฃู†ุง ุฃุฒูŠุฏู‡ุง
1347
+
1348
+ 365
1349
+ 00:31:28,580 --> 00:31:34,400
1350
+ ุนู† ุงู„ู…ุชูˆุณุท ุจู€ 100% ู…ุด ุนู„ุงู‚ุฉ ุจุงู„ุฎู…ุณูŠู† ุถุนูู‡ุง
1351
+
1352
+ 366
1353
+ 00:31:34,400 --> 00:31:38,900
1354
+ ุนุดุงู† ูƒุฏู‡ ุทู„ุนุช ุงุซู†ูŠู† ู…ุน ูƒุฏู‡ this is wage of two
1355
+
1356
+ 367
1357
+ 00:31:38,900 --> 00:31:42,020
1358
+ hundred is two standard deviation above that one
1359
+
1360
+ 368
1361
+ 00:31:42,020 --> 00:31:49,660
1362
+ more example for z negative for instance suppose
1363
+
1364
+ 369
1365
+ 00:31:49,660 --> 00:31:59,800
1366
+ your wage 150 ุฏูˆู„ุงุฑ ู…ุงุฒุงู„ ุฌูŠุฏ ู„ุฃู†
1367
+
1368
+ 370
1369
+ 00:31:59,800 --> 00:32:05,640
1370
+ ู‡ุฐุง ุงู„ูˆุงุฌู‡ุฉ ุฃูƒุจุฑ ู…ู† 100 ุงู„ุขู† ู„ูƒูŠ ุฃู‚ูˆู… ุจู…ุนุฑูุฉ z
1371
+
1372
+ 371
1373
+ 00:32:05,640 --> 00:32:15,040
1374
+ 150 ู†ุงู‚ุต 100 ู…ู‚ุณูˆู… 50 ู‡ูˆ ูˆุงุญุฏ ูู…ุนุฑูุฉ z ูˆุงุญุฏ ูŠุนู†ูŠ
1375
+
1376
+ 372
1377
+ 00:32:15,040 --> 00:32:21,470
1378
+ ุฃู† ูˆุงุฌู‡ุชูƒ ูˆุงุญุฏ ู…ู‚ุงุฑู†ุฉ ุฃุนู„ู‰ ุงู„ู…ู‚ุงูˆู…ุฉ ู„ุฃู† ุงู„ูุฑู‚
1379
+
1380
+ 373
1381
+ 00:32:21,470 --> 00:32:27,890
1382
+ ุฎู…ุณูŠู† ู…ุด ู‡ูŠุฆุฉ ูˆุงู„ุฎู…ุณูŠู† ู‡ูŠ ุงู„ู€ sigma suppose your
1383
+
1384
+ 374
1385
+ 00:32:27,890 --> 00:32:31,770
1386
+ wage is fifty now
1387
+
1388
+ 375
1389
+ 00:32:31,770 --> 00:32:37,370
1390
+ this one in this case negative
1391
+
1392
+ 376
1393
+ 00:32:37,370 --> 00:32:46,710
1394
+ one negative means your wage of ุฎู…ุณูŠู† ุฃู‚ู„ ู…ู† ุงู„ู€
1395
+
1396
+ 377
1397
+ 00:32:46,710 --> 00:32:55,080
1398
+ mean of one standard deviation ู…ุงุฐุง ุนู† X ู‡ูˆ 100ุŸ
1399
+
1400
+ 378
1401
+ 00:32:55,080 --> 00:33:00,540
1402
+ Z ูŠุณุงูˆูŠ 0ุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‚ูŠู…ุชูƒ ู‡ูŠ ู†ูุณู‡ุง ู…ุง ูŠุนู†ูŠ
1403
+
1404
+ 379
1405
+ 00:33:00,540 --> 00:33:01,180
1406
+ ุงู„ู…ุฌุชู…ุน.
1407
+
1408
+ 380
1409
+ 00:33:04,660 --> 00:33:14,220
1410
+ ุฏุนูˆู†ุง ู†ู‚ุงุฑู† X ูˆ Z. ุงู„ุขู†ุŒ ู„ู„ู…ุซุงู„ ู‡ุฐุงุŒ ุงู„ู€ mean 100 ูˆ
1411
+
1412
+ 381
1413
+ 00:33:14,220 --> 00:33:15,000
1414
+ Sigma ู‡ูˆ 50.
1415
+
1416
+ 382
1417
+ 00:33:17,880 --> 00:33:18,340
1418
+ ุงู„ุขู†ุŒ ู„ู€
1419
+
1420
+ 383
1421
+ 00:33:30,670 --> 00:33:44,390
1422
+ ุนู† ุทุฑูŠู‚ ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู…
1423
+
1424
+ 384
1425
+ 00:33:44,390 --> 00:33:50,250
1426
+ ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… ุงู„ุงุณุชุฎุฏุงู… only the
1427
+
1428
+ 385
1429
+ 00:33:50,250 --> 00:33:54,470
1430
+ scale has changed ูŠุนู†ูŠ ู†ูุณ ุงู„ุชูˆุฒูŠุน ุณูˆุงุก normal
1431
+
1432
+ 386
1433
+ 00:33:54,470 --> 00:33:58,470
1434
+ distribution ุฃูˆ standardized ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ
1435
+
1436
+ 387
1437
+ 00:33:58,470 --> 00:34:04,610
1438
+ ูˆุงู„ู…ุนูŠุงุฑูŠ ู…ุง ู„ู‡ู… ู†ูุณ ุงู„ุดูƒู„ ุจุณ ุงู„ู€ scale ุงุฎุชู„ู ุจุนุฏ
1439
+
1440
+ 388
1441
+ 00:34:04,610 --> 00:34:11,630
1442
+ ู…ุง ูƒุงู† ู‡ู†ุง 100 ูˆ 200 ุตุงุฑุช 0 ูˆ 2 ูˆู‡ูƒุฐุง ู†ุณุชุทูŠุน ุฃู† ู†ุนุฑู
1443
+
1444
+ 389
1445
+ 00:34:11,630 --> 00:34:15,990
1446
+ ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุฃุตู„ูŠุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ
1447
+
1448
+ 390
1449
+ 00:34:15,990 --> 00:34:16,630
1450
+ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1451
+
1452
+ 391
1453
+ 00:34:16,630 --> 00:34:16,710
1454
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1455
+
1456
+ 392
1457
+ 00:34:16,710 --> 00:34:17,770
1458
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1459
+
1460
+ 393
1461
+ 00:34:17,770 --> 00:34:19,970
1462
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1463
+
1464
+ 394
1465
+ 00:34:19,970 --> 00:34:20,670
1466
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1467
+
1468
+ 395
1469
+ 00:34:20,670 --> 00:34:21,330
1470
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1471
+
1472
+ 396
1473
+ 00:34:21,330 --> 00:34:22,990
1474
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1475
+
1476
+ 397
1477
+ 00:34:22,990 --> 00:34:30,790
1478
+ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุตุญูŠุญุฉ ุฃูˆ
1479
+
1480
+ 398
1481
+ 00:34:30,790 --> 00:34:31,710
1482
+ ุงู„ู…ุฌู…ูˆุน
1483
+
1484
+ 399
1485
+ 00:
1486
+
1487
+ 431
1488
+ 00:37:25,180 --> 00:37:31,580
1489
+ ุงู„ุชูˆุฒูŠุน ุงู„ุณูŠู…ุชุฑูŠูƒ ุฌุงูŠ ููŠ ุงู„ู†ุต ุงู„ู€ mean, ุงู„ู€ area ูƒู„ู‡ุง
1490
+
1491
+ 432
1492
+ 00:37:31,580 --> 00:37:35,700
1493
+ under the curve is one ูุฌุณู…ู‡ุง ุฌุณู…ูŠู† ู†ุต ุนู„ูŠ ูŠู…ูŠู† ูˆ
1494
+
1495
+ 433
1496
+ 00:37:35,700 --> 00:37:38,160
1497
+ ู†ุต ุนู„ูŠ ุงู„ุดู…ุงู„ ุฅุฐุง ุงู„ู€ area to the right of the mean
1498
+
1499
+ 434
1500
+ 00:37:38,160 --> 00:37:41,540
1501
+ is one half and equals the area to the left of the
1502
+
1503
+ 435
1504
+ 00:37:41,540 --> 00:37:44,880
1505
+ mean is also one half ุฅุฐุง ุงู„ู…ุณุงุญุงุช ุนู„ูŠ ูŠู…ูŠู† ูˆ ุนู„ูŠ
1506
+
1507
+ 436
1508
+ 00:37:44,880 --> 00:37:51,880
1509
+ ุงู„ุดู…ุงู„ ู…ุง ู‡ู… ุฒูŠ ุจุนุถ ูˆูƒู„ ู…ุณุงุญุฉ ุงูŠุด ุจุชุณุงูˆูŠุŸ ูˆุงุญุฏ ุฅุฐุง
1510
+
1511
+ 437
1512
+ 00:37:51,880 --> 00:37:55,160
1513
+ ูƒู„ ู…ุณุงุญุฉ equal one ูˆ ุงู„ู€ left ุจูŠุณุงูˆูŠ ุงู„ู€ right
1514
+
1515
+ 438
1516
+ 00:37:55,160 --> 00:38:00,140
1517
+ ุจูŠุณุงูˆูŠ one half. next time ุฅู† ุดุงุก ุงู„ู„ู‡ we will
1518
+
1519
+ 439
1520
+ 00:38:00,140 --> 00:38:04,760
1521
+ continue and see how can we compute the
1522
+
1523
+ 440
1524
+ 00:38:04,760 --> 00:38:07,800
1525
+ probabilities using the standardized normal table.
1526
+
1527
+ 441
1528
+ 00:38:07,800 --> 00:38:12,380
1529
+ ุงู„ู€ table ุงู„ู…ูˆุฌูˆุฏ ููŠ ู†ู‡ุงูŠุฉ ุงู„ูƒุชุงุจ ู…ุนุงูƒ ูุงู„ู„ู‚ุงุก ุฌุงูŠุจ
1530
+
1531
+ 442
1532
+ 00:38:12,380 --> 00:38:13,060
1533
+ ู†ูƒู…ู„ ุฅู† ุดุงุก ุงู„ู„ู‡
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1
+ 1
2
+ 00:00:20,670 --> 00:00:33,370
3
+ ุฎู„ู‘ูŠู†ูŠ ุฃุจุฏุฃ ููŠ chapter ุนุดุฑุฉ ุฎู„ู‘ูŠู†ูŠ
4
+
5
+ 2
6
+ 00:00:33,370 --> 00:00:38,070
7
+ ุฃุจุฏุฃ ููŠ chapter ุชุณุนุฉ ุงู„ู„ูŠ ุฎู„ุตู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ูƒุงู†
8
+
9
+ 3
10
+ 00:00:38,070 --> 00:00:42,170
11
+ ุงู„ู…ูˆุถูˆุน ุจุงุชูƒู„ู… ุนู„ู‰ one sample test ู…ุด ู‡ูŠูƒ ูƒุงู† ุนูŠู†ุฉ
12
+
13
+ 4
14
+ 00:00:42,170 --> 00:00:46,410
15
+ ูˆุงุญุฏุฉ ุจุณ ุงุชู„ู‚ู†ุง ุนู„ู‰ ุงู„ hypothesis testing for one
16
+
17
+ 5
18
+ 00:00:47,350 --> 00:00:51,290
19
+ population mean ูˆ one population proportion ุงู„ู„ูŠ
20
+
21
+ 6
22
+ 00:00:51,290 --> 00:00:56,470
23
+ ู‡ู†ุนู…ู„ ููŠ chapter 10 ู‡ู†ุนู…ู„ extension ุจุฏู„ one sample
24
+
25
+ 7
26
+ 00:00:56,470 --> 00:01:01,310
27
+ test ู‡ู†ุงุฎุฏ two sample test ูˆ ู…ุฑุฉ ู‡ุชูƒูˆู† ุงู„
28
+
29
+ 8
30
+ 00:01:01,310 --> 00:01:05,230
31
+ difference between two population proportionsูˆ ู…ุฑุฉ
32
+
33
+ 9
34
+ 00:01:05,230 --> 00:01:08,190
35
+ ู„ู„ difference between two population means ูŠุนู†ูŠ
36
+
37
+ 10
38
+ 00:01:08,190 --> 00:01:12,850
39
+ ู†ูุณ ุงู„ู‚ุตุฉ ุงู„ู„ู‰ ูุงุชุช ุจุฏู„ mean ูˆุงุญุฏ ู‡ู†ุงุฎุฏ difference
40
+
41
+ 11
42
+ 00:01:12,850 --> 00:01:16,330
43
+ between two means ูˆ ุจุฏู„ one proportion ู‡ู†ุงุฎุฏ
44
+
45
+ 12
46
+ 00:01:16,330 --> 00:01:20,890
47
+ difference between two proportions ุงู„ one way and
48
+
49
+ 13
50
+ 00:01:20,890 --> 00:01:24,990
51
+ over ู‡ู†ุนู…ู„ skip ู„ู‡ู… ูŠุนู†ูŠ ู…ุด ู‡ุดุฑุญ ุงู„ one way and
52
+
53
+ 14
54
+ 00:01:24,990 --> 00:01:28,570
55
+ over ุงุฐุง ููŠ chapter 10 we just talk about two
56
+
57
+ 15
58
+ 00:01:28,570 --> 00:01:29,390
59
+ sample test
60
+
61
+ 16
62
+ 00:01:41,740 --> 00:01:49,740
63
+ ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ ูŠูˆุฌุฏ ุฎุงุตุฉ ุซู„ุงุซุฉ ู…ู‡ุชู…ูŠู† ูŠุฑูƒุฒูˆู† ุนู„ู‰
64
+
65
+ 17
66
+ 00:01:49,740 --> 00:01:56,460
67
+ ูƒูŠููŠุฉ ุงุณุชุฎุฏุงู… ุชุฌุงุฑุจ ุงู„ู‡ูŠุจูˆุชุฒ ู„ุชู‚ุงุฑูŠุฑ ุงู„ูุฑู‚ ุจูŠู†
68
+
69
+ 18
70
+ 00:02:12,910 --> 00:02:20,290
71
+ ุฑู‚ู… ูˆุงุญุฏ ุงู„ means ุงู„ู„ุญุธุฉ ูƒู„ู‡ means ุฏูŠ ู‡ุฏูˆู„ ุจุณ ู…ุฑุฉ
72
+
73
+ 19
74
+ 00:02:20,290 --> 00:02:26,830
75
+ of two independent populations is a means of
76
+
77
+ 20
78
+ 00:02:26,830 --> 00:02:31,190
79
+ two independent populations
80
+
81
+ 21
82
+ 00:02:37,050 --> 00:02:39,390
83
+ ูˆุงู„ุญุฏ ุงู„ุชุงู†ูŠ is the difference between the means
84
+
85
+ 22
86
+ 00:02:39,390 --> 00:02:42,970
87
+ of two related populationsุŒ ู‡ุฏูˆู„ ุดุบู„ุชูŠู† ู…ุฎุชู„ูุชูŠู†ุŒ
88
+
89
+ 23
90
+ 00:02:42,970 --> 00:02:48,070
91
+ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู†ุฑูƒุฒ ุนู„ู‰ ุฌุฒุก ู…ู† ุงู„ุงุฎุชู„ุงู ุจูŠู†
92
+
93
+ 24
94
+ 00:02:48,070 --> 00:02:52,110
95
+ means of two independent populations and next time
96
+
97
+ 25
98
+ 00:02:52,110 --> 00:02:56,090
99
+ we shall continue for the two related populations.
100
+
101
+ 26
102
+ 00:02:56,770 --> 00:03:02,090
103
+ In addition, so we have two independent and two
104
+
105
+ 27
106
+ 00:03:02,090 --> 00:03:04,330
107
+ related populations.
108
+
109
+ 28
110
+ 00:03:07,360 --> 00:03:11,620
111
+ ุงู„ุฑู‚ู… ุซุงู„ุซ ูŠุชุญุฏุซ ุนู† ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
112
+
113
+ 29
114
+ 00:03:11,620 --> 00:03:14,880
115
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
116
+
117
+ 30
118
+ 00:03:14,880 --> 00:03:20,300
119
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
120
+
121
+ 31
122
+ 00:03:20,300 --> 00:03:22,720
123
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
124
+
125
+ 32
126
+ 00:03:22,720 --> 00:03:24,100
127
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
128
+
129
+ 33
130
+ 00:03:24,100 --> 00:03:24,100
131
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
132
+
133
+ 34
134
+ 00:03:24,100 --> 00:03:26,020
135
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช
136
+
137
+ 35
138
+ 00:03:26,020 --> 00:03:35,120
139
+ ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุงุชุฌุงุฑุงุช ุง
140
+
141
+ 36
142
+ 00:03:35,490 --> 00:03:37,630
143
+ ุฃูˆ ุจูŠู† ู…ุตุงุฏุฑ ุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
144
+
145
+ 37
146
+ 00:03:37,630 --> 00:03:40,790
147
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
148
+
149
+ 38
150
+ 00:03:40,790 --> 00:03:41,470
151
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
152
+
153
+ 39
154
+ 00:03:41,470 --> 00:03:44,350
155
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
156
+
157
+ 40
158
+ 00:03:44,350 --> 00:03:46,550
159
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
160
+
161
+ 41
162
+ 00:03:46,550 --> 00:03:47,990
163
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
164
+
165
+ 42
166
+ 00:03:47,990 --> 00:03:49,430
167
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
168
+
169
+ 43
170
+ 00:03:49,430 --> 00:03:50,910
171
+ ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ
172
+
173
+ 44
174
+ 00:03:50,910 --> 00:04:03,790
175
+ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู† ุงู„ู…ุฑุชุจุทุฉ ุจุงู„ุงู†ุณุงู†ูŠู†
176
+
177
+ 45
178
+ 00:04:03,790 --> 00:04:09,820
179
+ ุงู„ู…ุฑุชููŠ ุนู†ุฏูŠ population means ู‡ู†ุงุฎุฏ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰
180
+
181
+ 46
182
+ 00:04:09,820 --> 00:04:15,520
183
+ independent samples ุฅูŠุด ูŠุนู†ูŠ independent samplesุŸ
184
+
185
+ 47
186
+ 00:04:15,520 --> 00:04:20,460
187
+ ุนูŠู†ุงุช ู…ุณุชู‚ู„ุฉ ุฒูŠ ู…ุซู„ุง males ูˆ females ู‡ุฐูˆ ุนูŠู†ุงุช
188
+
189
+ 48
190
+ 00:04:20,460 --> 00:04:26,700
191
+ ู…ุณุชู‚ู„ุฉ ู…ู…ูƒู† ู†ุญูƒูŠ ู…ุซู„ุง public school ูˆ private
192
+
193
+ 49
194
+ 00:04:26,700 --> 00:04:32,760
195
+ schools ู‡ุฐูˆ two independentู…ู…ูƒู† ู†ุญูƒูŠ ู…ุซู„ุง Stock A
196
+
197
+ 50
198
+ 00:04:32,760 --> 00:04:38,140
199
+ ูˆ Stock B two independent populations in this case
200
+
201
+ 51
202
+ 00:04:38,140 --> 00:04:41,320
203
+ we are talking about group one versus group two as
204
+
205
+ 52
206
+ 00:04:41,320 --> 00:04:44,640
207
+ I mentioned either males females Stock A Stock B
208
+
209
+ 53
210
+ 00:04:44,640 --> 00:04:48,980
211
+ and so on the second case for the two sample tests
212
+
213
+ 54
214
+ 00:04:48,980 --> 00:04:53,560
215
+ population means related samples related ู…ุนู†ุงู‡ุง
216
+
217
+ 55
218
+ 00:04:53,560 --> 00:04:59,500
219
+ ุจุชูƒู„ู… ุนู„ู‰ ุดุบู„ุฉ semi-groupbefore versus after
220
+
221
+ 56
222
+ 00:04:59,500 --> 00:05:03,120
223
+ treatment ู‚ุจู„ ูˆ ุจุนุฏ ูŠุนู†ูŠ ู…ุซู„ุง ุจุชุชูƒู„ู… ุนู† ุงู„ product
224
+
225
+ 57
226
+ 00:05:03,120 --> 00:05:06,420
227
+ before using a new machine and after using a new
228
+
229
+ 58
230
+ 00:05:06,420 --> 00:05:10,320
231
+ machine ูƒุชูŠุฑ ููŠ ุฃุญูŠุงู† ุงู„ุฅู†ุชุงุฌ ุจุชุฃุซุฑ ุจุงู„ machine ู…ุด
232
+
233
+ 59
234
+ 00:05:10,320 --> 00:05:13,740
235
+ ู‡ูŠูƒ ุจุงู„ุขู„ุฉ ุงู„ู„ู‰ ู…ุณุชุฎุฏู…ุฉ ูุจุดูˆู ุงู„ุฅู†ุชุงุฌ before using
236
+
237
+ 60
238
+ 00:05:13,740 --> 00:05:17,040
239
+ a new machine and after using a new machine ู‡ุฐุง
240
+
241
+ 61
242
+ 00:05:17,040 --> 00:05:23,020
243
+ ุจูŠุณู…ูŠู‡ู… related ุฃูˆ ุจูŠุณู…ูˆู† ุจูŠุฑุฏ ุงู„ samples case
244
+
245
+ 62
246
+ 00:05:23,020 --> 00:05:27,780
247
+ number three populationู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
248
+
249
+ 63
250
+ 00:05:27,780 --> 00:05:32,460
251
+ ู†ุญู† ู†ุชูƒู„ู… ุนู† ู…ู‚ุงุฑู†ุฉ ูˆุงุญุฏุฉ ุถุฏ ู…ู‚ุงุฑู†ุฉ ุงุซู†ุงู† ู‡ุฐุง ูŠุนู†ูŠ
252
+
253
+ 64
254
+ 00:05:32,460 --> 00:05:37,020
255
+ ุฃู†ู†ุง ู†ุชูƒู„ู… ุนู† ู…ุฌุชู…ุนูŠู† ู…ุณุชู‚ู„ูŠู† ู„ุฐู„ูƒ ู‡ู†ุงูƒ ุงุชุฌุงุฑุงุช ุงูˆ
256
+
257
+ 65
258
+ 00:05:37,020 --> 00:05:42,720
259
+ ู…ุฌุชู…ุนูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
260
+
261
+ 66
262
+ 00:05:42,720 --> 00:05:44,380
263
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
264
+
265
+ 67
266
+ 00:05:44,380 --> 00:05:44,740
267
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
268
+
269
+ 68
270
+ 00:05:44,740 --> 00:05:47,780
271
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
272
+
273
+ 69
274
+ 00:05:47,780 --> 00:05:51,600
275
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ู„ูŠู† ุงูˆ
276
+
277
+ 70
278
+ 00:05:51,600 --> 00:05:58,390
279
+ ู…ุณุชู‚ู„ูŠู† ุงูˆ ู…ุณุชู‚ุนุงู„ means ุจุณ ุชุชูƒู„ู… ุนู† population
280
+
281
+ 71
282
+ 00:05:58,390 --> 00:06:02,890
283
+ means ูˆุงุฎุฏู†ุง ุฌุฒุก ุงู„ู„ูŠ ู‡ูˆ mean ุงู„ independent ุงุฐุง
284
+
285
+ 72
286
+ 00:06:02,890 --> 00:06:06,890
287
+ ุงู†ุง ุฏูŠ ุงูˆู„ ุดูŠุก
288
+
289
+ 73
290
+ 00:06:06,890 --> 00:06:13,010
291
+ ุงุฐุง
292
+
293
+ 74
294
+ 00:06:13,010 --> 00:06:17,250
295
+ ู…ุง ุงุชูƒู„ู… ุนู„ู‰ ุญูƒูŠู†ุง ุงู„ุดุจุท ุงู†ุง ุจุชุชูƒู„ู… ุนู„ู‰ ุฌุฒุฆูŠู†
296
+
297
+ 75
298
+ 00:06:17,250 --> 00:06:22,630
299
+ means ูˆ proportions ู‡ุจุฏุฃ ููŠ ุงู„ means ููŠ ุงู„ means ูˆ
300
+
301
+ 76
302
+ 00:06:22,630 --> 00:06:24,790
303
+ ููŠ ุงู„ means ููŠ ุฌุฒุฆูŠู† ุงูŠ population
304
+
305
+ 77
306
+ 00:06:29,310 --> 00:06:33,230
307
+ means ุฒูŠ ู…ุง ุงุญูƒูŠู„ู‡ุง ููŠ ุงู„ scheme ุงู„ู„ู‰ ูุงุชุช ูƒุงู† ููŠ
308
+
309
+ 78
310
+ 00:06:33,230 --> 00:06:36,730
311
+ ุนู†ุฏู‡ ุงุชู†ูŠู† population means ู‡ุงูŠ ูŠูˆู… ุงู„ุงุชู†ูŠู† ูˆุงุญุฏุฉ
312
+
313
+ 79
314
+ 00:06:36,730 --> 00:06:41,350
315
+ independent ูˆุงู„ุชุงู†ูŠุฉ related ู‡ุจุฏุฃ ุงู„ู„ู‰ ุงู†ุง ุนู„ู‰ ุทูˆู„
316
+
317
+ 80
318
+ 00:06:41,350 --> 00:06:45,230
319
+ ููŠ ู…ูŠู† ู‡ูŠ ุงู„ star ุงู„ star ุจุนุฏ ูƒุฏู‡ ุงู† ุงู†ุง ู…ูˆุฌูˆุฏ ููŠ
320
+
321
+ 81
322
+ 00:06:45,230 --> 00:06:48,770
323
+ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุงุชูƒู„ู… ุนู† ุงู„ independent sentence ุงุฐุง
324
+
325
+ 82
326
+ 00:06:48,770 --> 00:06:53,710
327
+ case ูˆุงุญุฏ ู‡ูŠ case ูˆุงุญุฏ ููŠู‡ุง independent
328
+
329
+ 83
330
+ 00:07:02,760 --> 00:07:08,820
331
+ ุงู„ู‡ุฏู ููŠ ู‡ุฐุง ุงู„ุญุงู„ุฉ test hypothesis for confidence
332
+
333
+ 84
334
+ 00:07:08,820 --> 00:07:13,440
335
+ interval ุงุญู†ุง ุจุงู„ู†ุณุจุงู„ู†ุง ุจุฑุถู‡ ู‡ู†ุนู…ู„ skip ู„ู„
336
+
337
+ 85
338
+ 00:07:13,440 --> 00:07:16,440
339
+ confidence interval ู‡ุฐุง ู…ุด ุฑุงุญ ู†ุนุฑูู‡ ููŠ ุงู„ chapter
340
+
341
+ 86
342
+ 00:07:16,440 --> 00:07:21,380
343
+ ู‚ุจู„ู‡ุง ุงุฐุง ู‡ู†ุงุฎุฏ test hypothesis for the difference
344
+
345
+ 87
346
+ 00:07:21,380 --> 00:07:23,040
347
+ between two population means
348
+
349
+ 88
350
+ 00:07:25,770 --> 00:07:32,750
351
+ ุฅุฐุง ูƒู„ ุงู„ุดุบู„ ู‡ูŠูƒูˆู† ุงู„ู€ hypothesis for
352
+
353
+ 89
354
+ 00:07:32,750 --> 00:07:38,590
355
+ the difference between two vibrations ู…ูŠ ูˆุงู† minus
356
+
357
+ 90
358
+ 00:07:38,590 --> 00:07:44,290
359
+ ู…ูŠ ุชูˆู† ุงู„ point estimate of this difference
360
+
361
+ 91
362
+ 00:07:44,290 --> 00:07:49,410
363
+ ุงู„ุชู‚ุฏูŠุฑ ู„ู‡ ุนุจุงุฑุฉ ุนู† x one bar minus x one bar ุฅุฐุง
364
+
365
+ 92
366
+ 00:07:49,410 --> 00:07:51,670
367
+ ุฃูˆู„ ุดุนุฑ ุฃุฑูŠุฏ ุฃู† ุฃุนุฑูู‡ ุฃู† ู‡ูˆ point estimate
368
+
369
+ 93
370
+ 00:07:54,340 --> 00:07:57,320
371
+ ุฎู„ุงุต ู„ูƒ ุงู„ point estimate ู„ ุงู„ ู…ูŠูˆ ุฅูŠุด ูƒุงู†ุช ุจุชุณุงูˆูŠ
372
+
373
+ 94
374
+ 00:07:57,320 --> 00:08:03,400
375
+ ุงูƒุณุจุงุฑ ู…ุธุจูˆุท ู‡ุฐุง ู„ ุงู„ mean ู„ ุงู„ one population
376
+
377
+ 95
378
+ 00:08:03,400 --> 00:08:06,300
379
+ mean ุทุจ ู„ูˆ ุนู†ุฏูƒ two population means ูˆุนุงูŠุฒ ุงู„
380
+
381
+ 96
382
+ 00:08:06,300 --> 00:08:09,880
383
+ point estimate
384
+
385
+ 97
386
+ 00:08:09,880 --> 00:08:18,400
387
+ of ู…ูŠูˆ ูˆุงุญุฏ minus ู…ูŠูˆ ุงุชูˆุงู„ู„ู…ูŠูˆ ุจุณ X bar ู„ูˆ ูƒู†ุง
388
+
389
+ 98
390
+ 00:08:18,400 --> 00:08:21,580
391
+ ุนู†ุฏู†ุง ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠูˆ ุงุชูˆุง ุงูŠุด ู‡ุชูƒูˆู† X bar one
392
+
393
+ 99
394
+ 00:08:21,580 --> 00:08:25,740
395
+ minus X two bar ู‡ุชูƒูˆู† X one bar minus X two bar ุทุจ
396
+
397
+ 100
398
+ 00:08:25,740 --> 00:08:29,000
399
+ ู„ูˆ ุนุงูŠุฒ ุงู„ point estimate ู„ู…ูŠูˆ ุงุชูˆุง minus ู…ูŠูˆ ุงุชูˆุง
400
+
401
+ 101
402
+ 00:08:29,000 --> 00:08:34,240
403
+ X two
404
+
405
+ 102
406
+ 00:08:34,240 --> 00:08:37,700
407
+ bar minus X two bar ูˆุงุถุญุŸ ุงุฐุง ุงู„ point estimate ุงู„
408
+
409
+ 103
410
+ 00:08:37,700 --> 00:08:39,660
411
+ difference between the two population means ู…ูŠูˆ
412
+
413
+ 104
414
+ 00:08:39,660 --> 00:08:42,700
415
+ ุงุชูˆุง minus ู…ูŠูˆ ุงุชูˆุง equals X one bar minus X two
416
+
417
+ 105
418
+ 00:08:42,700 --> 00:08:51,430
419
+ bar ู„ูˆ ุนูƒุณุชู‡ู… ุจุณ ..ุจุตูŠุฑ ุงู„ุนูƒุณ X2-X1-X2-X2-X1-X2-X2
420
+
421
+ 106
422
+ 00:08:51,430 --> 00:08:53,950
423
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
424
+
425
+ 107
426
+ 00:08:53,950 --> 00:08:55,150
427
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
428
+
429
+ 108
430
+ 00:08:55,150 --> 00:08:59,210
431
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
432
+
433
+ 109
434
+ 00:08:59,210 --> 00:09:03,230
435
+ -X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2-X2
436
+
437
+ 110
438
+ 00:09:03,230 --> 00:09:13,410
439
+ -X2-X2
440
+
441
+ 111
442
+ 00:09:13,410 --> 00:09:17,610
443
+ -X2ุชูƒูˆู† ููŠ ุนู†ุฏูƒ two groups I mean two different
444
+
445
+ 112
446
+ 00:09:17,610 --> 00:09:22,350
447
+ groups these groups are unrelated ู„ุฅู† ุจุญูƒูŠ ู…ุซู„ุง
448
+
449
+ 113
450
+ 00:09:22,350 --> 00:09:29,730
451
+ ุจุฏุฑุณ females ูˆ males ู…ุด ู…ุญุชูŠู† ู…ุง ู„ู‡ู…ู…ุฎุชู„ูุชูŠู† ู‡ุฐูŠู†
452
+
453
+ 114
454
+ 00:09:29,730 --> 00:09:32,930
455
+ ุจูŠุณู…ูŠู‡ู… unrelated ุงูˆ independent ุทุงู„ู…ุง ุงู„
456
+
457
+ 115
458
+ 00:09:32,930 --> 00:09:35,730
459
+ individuals are not the same ู…ุนู†ุงู‡ ุงู†ู‡ู…
460
+
461
+ 116
462
+ 00:09:35,730 --> 00:09:38,350
463
+ independent ูŠุนู†ูŠ ุงู„ุฃุดุฎุงุต ู…ุด ุฒูŠ ุจุนุถ ุจูŠุณู…ูŠู‡ู…
464
+
465
+ 117
466
+ 00:09:38,350 --> 00:09:42,550
467
+ independent is an
468
+
469
+ 118
470
+ 00:09:42,550 --> 00:09:46,630
471
+ unrelated independentู…ุนู†ุงู‡ ุงู„ู€ sample selected
472
+
473
+ 119
474
+ 00:09:46,630 --> 00:09:50,650
475
+ from one population has no effect on the sample
476
+
477
+ 120
478
+ 00:09:50,650 --> 00:09:53,210
479
+ selected from the other population ูŠุนู†ูŠ ุงู„ุนูŠู„ุฉ
480
+
481
+ 121
482
+ 00:09:53,210 --> 00:09:56,370
483
+ ุจุฎุชุงุฑ ู…ู† ุงู„ population ุฃูŠู‡ุŸ ุจุชุฃุซุฑุด ุนู„ู‰ ุงู„
484
+
485
+ 122
486
+ 00:09:56,370 --> 00:09:58,330
487
+ population ุงู„ู„ูŠ ุงู„ุนูŠู„ุฉ ุจุงุฎุฏู‡ ู…ู† ุงู„ population
488
+
489
+ 123
490
+ 00:09:58,330 --> 00:10:02,130
491
+ ุงู„ุชุงู†ูŠ ู„ู…ุง ุฃุฎุฏ ู…ุซู„ุง ุชู„ุงุชูŠู† ุทุงู„ุจุฉ ุงุฎุชูŠุงุฑ ุฃูŠู‡ ู„ู‡ู…ุŸ
492
+
493
+ 124
494
+ 00:10:02,130 --> 00:10:05,630
495
+ ุจูŠุฃุซุฑุด ุนู„ู‰ ุงุฎุชูŠุงุฑ ู…ุซู„ุง ู„ุชู„ุงุชูŠู† ุฃูˆ ู„ุนุดุฑูŠู† ุทุงู„ุจุฉ
496
+
497
+ 125
498
+ 00:10:05,630 --> 00:10:10,070
499
+ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุดุฎุต ุงู„ู„ูŠ ู‡ู†ุง ู‡ูˆ ู…ุด ู†ูุณู‡ ูุจุณู…ูŠู‡ู…
500
+
501
+ 126
502
+ 00:10:10,070 --> 00:10:19,420
503
+ independentููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ุงูˆ ุงูˆ ุงูˆ ุงูˆ
504
+
505
+ 127
506
+ 00:10:19,420 --> 00:10:25,380
507
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
508
+
509
+ 128
510
+ 00:10:25,380 --> 00:10:26,280
511
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
512
+
513
+ 129
514
+ 00:10:26,280 --> 00:10:26,960
515
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
516
+
517
+ 130
518
+ 00:10:26,960 --> 00:10:31,440
519
+ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ ุงูˆ
520
+
521
+ 131
522
+ 00:10:37,220 --> 00:10:39,240
523
+ ูˆุงุญุฏ ู…ู† ุงู„ุญุงู„ุงุช ูƒุงู†ุช ุณูŠุฌู…ุง ู…ุนุฑูˆูุฉ ูˆุงู„ุขุฎุฑ ู…ุนุฑูˆูุฉ
524
+
525
+ 132
526
+ 00:10:39,240 --> 00:10:43,420
527
+ ุณูŠุฌู…ุง ุบูŠุฑ ู…ุนุฑูˆูุฉ ููŠ ู‡ุฐุง ุงู„ุญู„ู‚ู‡ ุณู†ุฑูƒุฒ ูู‚ุท ุนู„ู‰ ุณูŠุฌู…ุง
528
+
529
+ 133
530
+ 00:10:43,420 --> 00:10:46,920
531
+ ุบูŠุฑ ู…ุนุฑูˆููŠู† ุณูŠุฌู…ุง ูˆุงุญุฏ ูˆุณูŠุฌู…ุง ุงุซู†ุงู† ุบูŠุฑ ู…ุนุฑูˆููŠู†
532
+
533
+ 134
534
+ 00:10:46,920 --> 00:10:50,140
535
+ ูˆู„ูƒู† ุจุนุถ ุงู„ุฃุญูŠุงู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง ูˆุงุญุฏ
536
+
537
+ 135
538
+ 00:10:50,140 --> 00:10:52,920
539
+ ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง ุงุซู†ุงู† ูˆุงู„ุซุงู†ูˆูŠุฉ ุงู„ู…ุนุฑูˆูุฉ ุงู†ู‡ู…
540
+
541
+ 136
542
+ 00:10:52,920 --> 00:10:59,940
543
+ ู…ุชุณุงูˆูŠูŠู† ูˆู„ูƒู† ู„ูŠุณูˆุง ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุง
544
+
545
+ 137
546
+ 00:10:59,940 --> 00:11:06,960
547
+ ูˆุงุญุฏ ู„ูŠุณ ู…ุชุณุงูˆูŠูŠู† ุณูŠุฌู…ุงู‡ู†ุงุฎุฏ ุญุงู„ุชูŠู† ุฒูŠ ู…ุง ุฎุฏู†ุง ู„ูƒ
548
+
549
+ 138
550
+ 00:11:06,960 --> 00:11:10,200
551
+ ุญุงู„ุชูŠู† sigma known ูˆ unknown ู‡ู†ุง ู‡ู†ุงุฎุฏ ููŠ ุงู„ุญุงู„ุชูŠู†
552
+
553
+ 139
554
+ 00:11:10,200 --> 00:11:14,200
555
+ they are unknown ุจุณ ู…ุฑุฉ we assume they are equal ูˆ
556
+
557
+ 140
558
+ 00:11:14,200 --> 00:11:18,400
559
+ ู…ุฑุฉ ุชุงู†ูŠุฉ they are not equal ุงู„ู„ูŠ ู‡ุจุฏุฃ ููŠ ุงู„ูŠูˆู…
560
+
561
+ 141
562
+ 00:11:18,400 --> 00:11:22,160
563
+ equal ุงู„ู„ูŠ ู‡ูŠ ุงู„ equal ู„ุญุธุฉ ุฅู† ุงู„ู…ูˆุถูˆุน ุตุงุฑ ุนู†ุฏูŠ
564
+
565
+ 142
566
+ 00:11:22,160 --> 00:11:27,680
567
+ ู…ุชุดุงุนุฑ ุงู„ chapter ูƒู„ู‡ ู…ู† ู‚ุณู… ู‚ุณู…ูŠู† means ูˆ
568
+
569
+ 143
570
+ 00:11:27,680 --> 00:11:33,170
571
+ proportions ู…ุชูˆุณุท ูˆ ู†ุณุจู‡ุฐุง ููŠ ุงู„ู…ุชูˆุณุทุงุช population
572
+
573
+ 144
574
+ 00:11:33,170 --> 00:11:37,230
575
+ means ุงู„ population means ุจุฑุถู‡ ุฅูŠู‡ุŸ independent ูˆ
576
+
577
+ 145
578
+ 00:11:37,230 --> 00:11:41,030
579
+ related ุฅูŠู‡ ู„ูˆ .. ุงู‡ ุชู†ุชูŠู† independent ูˆ related
580
+
581
+ 146
582
+ 00:11:41,030 --> 00:11:46,010
583
+ ูƒูˆูŠุณ ุฃู†ุง ู‡ุงุฎุฏ ู…ูŠู† ุงู„ independent ุงู„ independent
584
+
585
+ 147
586
+ 00:11:46,010 --> 00:11:51,090
587
+ ู‡ุชุงู†ูŠ ู†ูˆุนูŠู† sigma equal ูˆ ู…ุด equal ุญุฏ ุชุนูŠุฏ ุงู„ูƒู„ุงู…
588
+
589
+ 148
590
+ 00:11:51,090 --> 00:11:55,370
591
+ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ ูˆุงุญุฏ ู‡ุชุนูŠุฏู„ูŠู‡ ูŠุนู†ูŠ ุงู„ุดุงุจุท ุงู„ู„ูŠ
592
+
593
+ 149
594
+ 00:11:55,370 --> 00:12:00,900
595
+ ู‡ุชุงุฎุฏู„ูŠู‡ ููŠ ุงู„ูƒู„ู…ุชูŠู† ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ู…ู‡ูˆ ุงู„ู€
596
+
597
+ 150
598
+ 00:12:00,900 --> 00:12:03,340
599
+ proportion ูˆ ุงู„ู€ means ุงุญู†ุง ู‡ู†ุฑูƒุฒ ุนู„ู‰ ุงู„
600
+
601
+ 151
602
+ 00:12:03,340 --> 00:12:06,940
603
+ population means ู‡ู„ุฃ ููŠ ุงู„ population means ู‡ู†ููŠู‡
604
+
605
+ 152
606
+ 00:12:06,940 --> 00:12:09,880
607
+ ู‚ุณู…ูŠู† ู‡ูˆ independent samples ูˆ related samples
608
+
609
+ 153
610
+ 00:12:09,880 --> 00:12:14,480
611
+ ุญุงู„ูŠุงุช ุงุญู†ุง ู‡ู†ุจุฏุฃ ุจุงู„ independent samples ููŠู‡ุง
612
+
613
+ 154
614
+ 00:12:14,480 --> 00:12:17,900
615
+ ู‚ุณู…ูŠู† ุทุจุนุง ุจูŠูƒูˆู† ุฏุงูŠู…ุง sigma unknown ุจุณ ู…ู…ูƒู† ุชูƒูˆู†
616
+
617
+ 155
618
+ 00:12:17,900 --> 00:12:21,440
619
+ sigma one equal sigma two ุงูˆ not equal ู‡ู†ุจุฏุฃ ุจุงู„
620
+
621
+ 156
622
+ 00:12:21,440 --> 00:12:25,000
623
+ equal ู…ู…ุชุงุฒ ุงุฐุง ู‡ู†ู‚ู„ู‡ุง ู…ุฑุฉ ุชุงู†ูŠุฉ ุงุฎุฑู‰ ุงู„ chapter
624
+
625
+ 157
626
+ 00:12:25,000 --> 00:12:28,000
627
+ has two partspopulation means population
628
+
629
+ 158
630
+ 00:12:28,000 --> 00:12:31,500
631
+ proportions ุญุจุฏุง ูู‰ ุงู„ population means ุงู„
632
+
633
+ 159
634
+ 00:12:31,500 --> 00:12:34,720
635
+ population means ุนู†ุฏู‡ ู†ูˆุนูŠู† ุงู…ุง independent
636
+
637
+ 160
638
+ 00:12:34,720 --> 00:12:38,780
639
+ samples ุงูˆ related ู‡ู„ุงุฎุฏ ุงู„ independent ุงู„
640
+
641
+ 161
642
+ 00:12:38,780 --> 00:12:42,460
643
+ independent ูู‰ two cases sigma is always assumed
644
+
645
+ 162
646
+ 00:12:42,460 --> 00:12:45,840
647
+ to be unknown but sometimes they are equal and
648
+
649
+ 163
650
+ 00:12:45,840 --> 00:12:50,750
651
+ other maybe they are not equalุฎู„ุงุต ู†ุจุฏุฃ ู„ุงู† ู„ุญุธุฉ
652
+
653
+ 164
654
+ 00:12:50,750 --> 00:12:54,150
655
+ ู„ุงู† ุงู„ุตุงุฑุด ุตุงุฑุช population means independent
656
+
657
+ 165
658
+ 00:12:54,150 --> 00:12:59,170
659
+ samples ู‡ุฐุง ู…ุง ุงุชูƒู„ู…ุด ุนู„ูŠู‡ ู„ุณู‡ ู…ุงุญูƒูŠู†ุงุด ุนู„ูŠู‡ ุฎู„ุตุช
660
+
661
+ 166
662
+ 00:12:59,170 --> 00:13:03,710
663
+ ู‡ูŠูƒ ู†ูƒู…ู„ ุงู„ุตุงุฑุฉ ุงู„ุตุงุฑุฉ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุงู„ุตุงุฑุฉ ุนู†ุฏูŠ ูƒุงู†ุช
664
+
665
+ 167
666
+ 00:13:03,710 --> 00:13:08,210
667
+ ุชุงู„ูŠุฉ ุจุฏุฃุช ู…ู† population means independent samples
668
+
669
+ 168
670
+ 00:13:08,210 --> 00:13:12,750
671
+ ูˆุงุถุญ ู‡ูŠูƒ ู†ุชุทู„ุน
672
+
673
+ 169
674
+ 00:13:12,750 --> 00:13:17,530
675
+ ุนู„ู‰ ุงู„ ..H0 ูˆH1 ููŠ ุงู„ุฐุงูƒุฑุฉ ูƒู†ุง ู†ุญูƒูŠ ุนู† ุงู„ู€ two
676
+
677
+ 170
678
+ 00:13:17,530 --> 00:13:22,210
679
+ tail ูˆ ุงู„ one tail either upper tail or lower tail
680
+
681
+ 171
682
+ 00:13:22,210 --> 00:13:25,790
683
+ ู„ู†ุจุฏุฃ ููŠ ุงู„ two tail ู†ุจุฏุฃ ููŠ ุงู„ two tail
684
+
685
+ 172
686
+ 00:13:41,270 --> 00:13:46,650
687
+ ู‡ุจุฏุฃ ููŠ ุงู„ test two-tailed
688
+
689
+ 173
690
+ 00:13:46,650 --> 00:13:50,850
691
+ ุฑูƒุฒูŠ
692
+
693
+ 174
694
+ 00:13:50,850 --> 00:13:57,090
695
+ ู…ุนุงูŠุง ู„ุฅู† ููŠ ุงู„ test two-tailed ูŠุนู†ูŠ
696
+
697
+ 175
698
+ 00:13:57,090 --> 00:14:02,130
699
+ ู„ุง ูŠุณุงูˆูŠ ู…ุธุจูˆุทุŸ
700
+
701
+ 176
702
+ 00:14:02,130 --> 00:14:03,750
703
+ when mu1 equals mu2
704
+
705
+ 177
706
+ 00:14:11,870 --> 00:14:17,510
707
+ ู…ู…ูƒู† ุงุญูƒูŠ ู…ูŠูˆ ูˆุงู† ุงูŠู‚ูˆุฒ ู…ูŠูˆ ุชูˆ ูˆ ุจุชูƒู„ู… ุนู„ู‰ ุงู„
708
+
709
+ 178
710
+ 00:14:17,510 --> 00:14:20,910
711
+ difference between two populations ู„ู…ุง ุจุญูƒูŠ ู…ูŠูˆ
712
+
713
+ 179
714
+ 00:14:20,910 --> 00:14:23,810
715
+ ูˆุงู† ุงูŠู‚ูˆุฒ ู…ูŠูˆ ุชูˆ ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ุง ุงู„ูุฑู‚ ุงู„ู„ูŠ
716
+
717
+ 180
718
+ 00:14:23,810 --> 00:14:29,490
719
+ ุจูŠู†ู‡ู… ู…ุด ู…ุชุณุงูˆูŠ ุฒูŠุฑูˆ ู„ู…ุง
720
+
721
+ 181
722
+ 00:14:29,490 --> 00:14:33,290
723
+ ุจุญูƒูŠ ู…ูŠูˆ ูˆุงู† does not equal ู…ูŠูˆ ุชูˆ ู…ุนู†ุงู‡ุง ุงู„ูุฑู‚
724
+
725
+ 182
726
+ 00:14:33,290 --> 00:14:38,990
727
+ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ู…ุงุจุณุงูˆูŠ ุตูุฑ ุฒุงุฏ ุฃูˆู„ ูˆุงุญุฏุฉุฅุฐุง ุจุญูƒูŠ mu1
728
+
729
+ 183
730
+ 00:14:38,990 --> 00:14:43,230
731
+ equals mu2 ููŠ ุงู„ู€ two-tailed ู…ุนู†ุงู‡ ู…ูŠ ูˆุงู† ู„ุง ูŠู‚ู„
732
+
733
+ 184
734
+ 00:14:43,230 --> 00:14:47,750
735
+ ู…ูŠ ูˆุงู† ุงูˆ ุจูƒุชุจู‡ุง ุนู„ู‰ ุดูƒู„ ู…ูŠ ูˆุงู† ู…ุงู†ุณ ู…ูŠ ูˆุงู† ุงู‚ู„
736
+
737
+ 185
738
+ 00:14:47,750 --> 00:14:52,370
739
+ ุฒูŠุฑูˆ against ู…ูŠ ูˆุงู† ู…ุงู†ุณ ู…ูŠ ูˆุงู† ู„ุง ูŠู‚ู„ ุฒูŠุฑูˆ ู‡ุฐุง
740
+
741
+ 186
742
+ 00:14:52,370 --> 00:14:59,310
743
+ ุจุงู„ู†ุณุจุฉ ู„ู…ูŠู† ุงู„ two-tailed ุงู„ one-tailed either
744
+
745
+ 187
746
+ 00:14:59,310 --> 00:15:02,950
747
+ upper tailed or lower tailed ุงู„ upper tail
748
+
749
+ 188
750
+ 00:15:08,190 --> 00:15:12,570
751
+ ุฎู„ู‘ูŠู†ูŠ ุฃุจุฏุฃ ุจุงู„ H1 ู…ุนู†ุงู‡ upper ูŠุนู†ูŠ ู…ูŠ ูˆุงู† ู…ุง ู„ู‡
752
+
753
+ 189
754
+ 00:15:12,570 --> 00:15:20,590
755
+ greater than ุงูˆ more than ุทูŠุจ ุฅูŠุด ู‡ุชูƒูˆู† ุงู„ H0ุŸ ุงู„
756
+
757
+ 190
758
+ 00:15:20,590 --> 00:15:26,450
759
+ H0 always the complement ู„H1ุŒ ุงุชู†ูŠู† ูŠูƒู…ู„ูˆุง ุจุนุถุŒ ุงูˆ
760
+
761
+ 191
762
+ 00:15:26,450 --> 00:15:29,290
763
+ ุงู„ opposite ุฅุฐุง ู‡ุฐูŠ ู…ูŠ ูˆุงู† greater than ู…ูŠ ูˆุงู†
764
+
765
+ 192
766
+ 00:15:30,450 --> 00:15:34,070
767
+ ู‡ุชูƒูˆู† ู‡ุฐู‡ ู…ุงู„ู‡ุง less than or equal less than or
768
+
769
+ 193
770
+ 00:15:34,070 --> 00:15:37,050
771
+ equal ู„ 101 ุฅุฐุง ุงู„ูˆุงุญุฏุฉ 101 ุฃูƒุจุฑ ู…ู† 102 ูˆุงู„ุซุงู†ูŠ
772
+
773
+ 194
774
+ 00:15:37,050 --> 00:15:44,270
775
+ 101 ุฃู‚ู„ ู…ู† ุตูุฑ ู…ูŠุชูˆ ุฃูˆ ู…ู…ูƒู† ุชู†ูƒุชุจ ูƒูŠู ุงู„ูุฑู‚ ุงู„ู„ูŠ
776
+
777
+ 195
778
+ 00:15:44,270 --> 00:15:47,910
779
+ ุจูŠู†ู‡ู… ู…ุงู„ู‡ ู„ูˆ ูƒุงู†ุช 101 ุฃู‚ู„ ู…ู† ุตูุฑ ู…ูŠุชูˆ ูˆู…ุน ูƒุฏู‡
780
+
781
+ 196
782
+ 00:15:47,910 --> 00:15:52,010
783
+ ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ู…ุงู„ู‡ less than or equal 0 less
784
+
785
+ 197
786
+ 00:15:52,010 --> 00:15:55,590
787
+ than or equal 0 ู…ุธุจูˆุท ุฅุฐุง 101 ุฃู‚ู„ ูˆ 912 ู…ุนู†ุงู‡
788
+
789
+ 198
790
+ 00:15:55,590 --> 00:15:59,080
791
+ ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ุฃู‚ู„ ู…ู† ุตูุฑุทุจ ู…ูŠ ูˆุงู† ุฃูƒุจุฑ ุฅูŠุด
792
+
793
+ 199
794
+ 00:15:59,080 --> 00:16:08,360
795
+ ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ุง ุฃูƒุจุฑ ู‡ุฐุง ุจู†ุณู…ูŠู‡ upper tail ุทุจ ุงู„ู„ูŠ
796
+
797
+ 200
798
+ 00:16:08,360 --> 00:16:14,540
799
+ ู‡ูˆ upper tail ุงู„ู„ูŠ
800
+
801
+ 201
802
+ 00:16:14,540 --> 00:16:17,020
803
+ ู‡ูˆ upper tailุŒ ุจุฏูŠ ูˆุงุญุฏุฉ ุชูƒุชุจ ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ upper
804
+
805
+ 202
806
+ 00:16:17,020 --> 00:16:22,260
807
+ tail ูƒุชุจุช
808
+
809
+ 203
810
+ 00:16:22,260 --> 00:16:26,600
811
+ ุงู„ upper tail ู…ูŠ ูˆุงู† ุฃูƒุจุฑ ู…ู† ุงุชู†ูŠู† ุจุฏุฃุช ุจุงู„ H1 ูˆู‡ูŠ
812
+
813
+ 204
814
+ 00:16:26,600 --> 00:16:27,040
815
+ ุงู„ H0
816
+
817
+ 205
818
+ 00:16:34,000 --> 00:16:42,000
819
+ ุงุจุฏู‰ ุฏุงูŠู…ุง ุจุงู„ู€H1 ููŠ ุงู„ุฃูˆู„ ูƒูˆูŠุณุฉุŒ
820
+
821
+ 206
822
+ 00:16:42,000 --> 00:16:46,420
823
+ ู…ู…ุชุงุฒุฉุŒ ุงุฐุง ุงู„ู€MU1 ุฃู‚ู„ ู„ุญุธุฉ ู…ู† ุบูŠุฑ ุงู„ู„ูŠ ุณุงูˆูŠ ุฏุงูŠู…ุง
824
+
825
+ 207
826
+ 00:16:46,420 --> 00:16:51,660
827
+ ุงู„ู€equal sign just appears on H0 ูุงู„ู€H1 ู…ุงููŠุด ุนู†ุฏูŠ
828
+
829
+ 208
830
+ 00:16:51,660 --> 00:16:57,800
831
+ equal sign ุงูƒุจุฑ
832
+
833
+ 209
834
+ 00:16:57,800 --> 00:16:58,200
835
+ ุงูˆ ุฃูƒุจุฑ
836
+
837
+ 210
838
+ 00:17:07,140 --> 00:17:11,760
839
+ ูˆุงุถุญ ู‡ูŠูƒ ุฅุฐุง ู‡ูŠ ุจุฏุฃุช ุงู„ H1 ุทุงู„ู…ุง ู„ูˆ ุฃุฑุฏุช ูŠุนู†ูŠ U1
840
+
841
+ 211
842
+ 00:17:11,760 --> 00:17:17,300
843
+ ุฃู‚ู„ ู…ู† U2 ู…ุน ุฃู† ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฃู‚ู„ ู…ู† ุตูุฑ ููŠ ุงู„ null
844
+
845
+ 212
846
+ 00:17:17,300 --> 00:17:20,940
847
+ ู‡ุชูƒูˆู† ุงู„ complement ุชุจุนุชู‡ุง ุจุฏู„ ู…ุง ูƒุงู†ุช ุฃู‚ู„ ุจูŠุตูŠุฑ
848
+
849
+ 213
850
+ 00:17:20,940 --> 00:17:24,140
851
+ ุฃูƒุจุฑ ุฃูˆ ุฃุณุงูˆูŠ ู…ุน ูƒุฏู‡ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฃูƒุจุฑ ูˆ ุฃุณุงูˆูŠ ุตูุฑ
852
+
853
+ 214
854
+ 00:17:24,140 --> 00:17:29,140
855
+ ู‡ุฐุง ูƒูŠู how can we stateุงู„ู€ null and alternative
856
+
857
+ 215
858
+ 00:17:29,140 --> 00:17:40,720
859
+ hypothesis ููŠ ุฃูŠ ุณุคุงู„ุŸ ูƒูŠู
860
+
861
+ 216
862
+ 00:17:40,720 --> 00:17:47,620
863
+ ู†ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
864
+
865
+ 217
866
+ 00:17:47,620 --> 00:17:50,400
867
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
868
+
869
+ 218
870
+ 00:17:50,400 --> 00:17:50,400
871
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
872
+
873
+ 219
874
+ 00:17:50,400 --> 00:17:50,820
875
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
876
+
877
+ 220
878
+ 00:17:50,820 --> 00:17:50,880
879
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
880
+
881
+ 221
882
+ 00:17:50,880 --> 00:17:50,880
883
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ
884
+
885
+ 222
886
+ 00:17:50,880 --> 00:17:52,820
887
+ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฐ ู†ูุฅุฐุง ูุฅู† ูƒู„ ูˆุงุญุฏ ู…ู†ูƒู… ูŠุชุฌุงูˆุฒ
888
+
889
+ 223
890
+ 00:17:52,820 --> 00:17:56,740
891
+ ุงู„ู€ NULL ุฅุฐุง ูุฅู† ุชุงุฑูŠุฎ T ูŠุชุฌุงูˆุฒ ููŠ ุงู„ู…ู†ุทู‚ุฉ
892
+
893
+ 224
894
+ 00:17:56,740 --> 00:18:05,200
895
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุขู† ู„ุชุฌุงุฑุจูŠู† ุฃูˆ ุชุงุฑูŠุฎูŠู† ูƒู…
896
+
897
+ 225
898
+ 00:18:05,200 --> 00:18:09,080
899
+ ู…ู† ุงู„ู…ู†ุทู‚ุงุช ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชูŠ ู„ุฏูŠู†ุงุŸ ู‡ู†ุงูƒ 2 ู…ู†ุทู‚ุงุช
900
+
901
+ 226
902
+ 00:18:09,080 --> 00:18:15,040
903
+ ุชุฌุงุฑูŠุฉุŒ ูˆุงุญุฏ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ูˆุงุญุฏ ุฅู„ู‰ ุงู„ูŠุณุงุฑ ุฅุฐุง ูƒู†ุง
904
+
905
+ 227
906
+ 00:18:15,040 --> 00:18:19,300
907
+ ู†ุชูƒู„ู… ุนู† ู…ุณุชูˆู‰ Alpha ู…ุณุชูˆู‰ ุงู„ู…ุนุฑูˆู Alpha ู‡ุฐุง ูŠุนู†ูŠ
908
+
909
+ 228
910
+ 00:18:19,300 --> 00:18:20,020
911
+ ุฃู† ู‡ู†ุงูƒ
912
+
913
+ 229
914
+ 00:18:23,310 --> 00:18:31,830
915
+ ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ
916
+
917
+ 230
918
+ 00:18:31,830 --> 00:18:38,150
919
+ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู†
920
+
921
+ 231
922
+ 00:18:38,150 --> 00:18:38,150
923
+ ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ
924
+
925
+ 232
926
+ 00:18:38,150 --> 00:18:44,310
927
+ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู† ู†ูุณ ุณูˆูŠู†
928
+
929
+ 233
930
+ 00:18:44,310 --> 00:18:48,870
931
+ ู†ูุณ
932
+
933
+ 234
934
+ 00:18:48,870 --> 00:18:51,690
935
+ ุณูˆูŠู†
936
+
937
+ 235
938
+ 00:19:10,960 --> 00:19:14,960
939
+ ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุงู„ุงุชุตุงู„ูŠุฉ
940
+
941
+ 236
942
+ 00:19:17,590 --> 00:19:24,310
943
+ ุงู…ุง ุงูƒุจุฑ ู…ู† T alpha over 2 ุงูˆ ุงู‚ู„
944
+
945
+ 237
946
+ 00:19:24,310 --> 00:19:27,810
947
+ ู…ู† negative T alpha over 2 ูŠุนู†ูŠ ุงู…ุง T statistic
948
+
949
+ 238
950
+ 00:19:27,810 --> 00:19:31,550
951
+ ูˆุงู‚ุน ู‡ู†ุง ุงูƒุจุฑ ู…ู† T alpha ุนู„ู‰ 2 ุงูˆ ุงู‚ู„ ู…ู† ู†ุงู‚ุต T
952
+
953
+ 239
954
+ 00:19:31,550 --> 00:19:37,150
955
+ alpha ุนู„ู‰ 2 ู‡ู„ ุงุจู†ุณ ู„ู…ู†ุŸ ู„ู„ two-tailed test ุทุจ ู„ูˆ
956
+
957
+ 240
958
+ 00:19:37,150 --> 00:19:43,190
959
+ ูƒุงู†ุช upper tailุงู„ู€ upper tail ุจุชูƒูˆู† there is only
960
+
961
+ 241
962
+ 00:19:43,190 --> 00:19:45,990
963
+ one rejection region to the right or to the leftุŸ
964
+
965
+ 242
966
+ 00:19:45,990 --> 00:19:50,190
967
+ right ูˆู„ุง leftุŸ right ุฃูƒูŠุฏ right ู‡ุชูƒูˆู† ู‡ุฐู‡ ุนุจุงุฑุฉ
968
+
969
+ 243
970
+ 00:19:50,190 --> 00:19:53,630
971
+ ุนู† T ุฃู„ูุฉ ูˆู„ุง ุฃู„ู ุน ุงุชู†ูŠู†ุŸ ุฃู„ูุฉ ู„ุญุงู„ุฉ ุจุณ ุฃู„ูุฉ
972
+
973
+ 244
974
+ 00:19:53,630 --> 00:19:58,590
975
+ ู„ุญุงู„ุฉ ุงู„ุณุจุจ ุจุชุชูƒู„ู… ุนู„ู‰ one tail ุฅุฐุง ุจุณ ุจุชุจู‚ู‰ ุฃู„ูุฉ
976
+
977
+ 245
978
+ 00:19:58,590 --> 00:20:05,710
979
+ ุงู„ rejection region this green area ุฅุฐุง we reject
980
+
981
+ 246
982
+ 00:20:05,710 --> 00:20:08,270
983
+ it's zero if .. ุฅุฐุง reject
984
+
985
+ 247
986
+ 00:20:11,210 --> 00:20:16,450
987
+ H0 ุฅุฐุง ูƒุงู†ุช ุงู„ู€ Tุณุชุงุช ู…ุงู„ู‡ุง ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ุŸ ู„ุญุธุฉุŒ
988
+
989
+ 248
990
+ 00:20:16,450 --> 00:20:22,770
991
+ ุฃูƒุจุฑุŒ ู‡ูŠ ุฃูƒุจุฑ ู…ู† T ฮฑู„ูุฉ ุฅุฐุง ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† T ุฃู„ูุฉุŒ
992
+
993
+ 249
994
+ 00:20:22,770 --> 00:20:30,130
995
+ ู‡ูˆ ูŠู€Reject ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉ ูˆุงุญุฏุฉ ุชู…ู„ูŠู‡ุง ุงู„ุญุงู„ุฉ
996
+
997
+ 250
998
+ 00:20:30,130 --> 00:20:36,390
999
+ ุงู„ุชุงู„ุชุฉ ุฅุฐุง
1000
+
1001
+ 251
1002
+ 00:20:36,390 --> 00:20:39,090
1003
+ ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ูŠุฉ ุงู„ู€ Upper tail ู‡ูˆ ูŠู€Reject ุฅุฐุง ูƒุงู†ุช
1004
+
1005
+ 252
1006
+ 00:20:39,090 --> 00:20:44,950
1007
+ ุงู„ู€ Tุณุชุงุช ุฃูƒุจุฑ ู…ู† T ุฃู„ูุฉุญู„ ุงู„ุฃุฎูŠุฑุฉ ุงูŠู‡ ู‡ูˆ ุงู„ุชุงู†ูŠ
1008
+
1009
+ 253
1010
+ 00:20:44,950 --> 00:20:47,350
1011
+ hand lower ูˆ one hand
1012
+
1013
+ 254
1014
+ 00:21:13,560 --> 00:21:22,080
1015
+ ุจุณ ุจุงู„ุณู‡ู„ ุจู‚ู‰ ู†ูŠุฌุงุชูŠ ูƒูˆูŠุณ ุงุฐุง ุงู„ left tail ุงูˆ ุงู„
1016
+
1017
+ 255
1018
+ 00:21:22,080 --> 00:21:25,940
1019
+ lower tail to the left side this is negative T
1020
+
1021
+ 256
1022
+ 00:21:25,940 --> 00:21:30,740
1023
+ alpha and we reject if the T statistic
1024
+
1025
+ 257
1026
+ 00:21:33,350 --> 00:21:36,830
1027
+ ุชู‚ุน ููŠู‡ุง ูŠุนู†ูŠ if the value of the statistics fall
1028
+
1029
+ 258
1030
+ 00:21:36,830 --> 00:21:40,670
1031
+ in the rejection region it means if T sets less
1032
+
1033
+ 259
1034
+ 00:21:40,670 --> 00:21:44,790
1035
+ than negative T alpha in this area then we reject
1036
+
1037
+ 260
1038
+ 00:21:44,790 --> 00:21:47,490
1039
+ the null hypothesis ุฅุฐุง ููŠ ุนู†ุฏู†ุง three different
1040
+
1041
+ 261
1042
+ 00:21:47,490 --> 00:21:51,950
1043
+ scenarios for two-tiered test there are two
1044
+
1045
+ 262
1046
+ 00:21:51,950 --> 00:21:52,710
1047
+ rejection regions
1048
+
1049
+ 263
1050
+ 00:21:59,280 --> 00:22:03,440
1051
+ ูˆุฅุฐุง ูƒุงู†ุช ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1052
+
1053
+ 264
1054
+ 00:22:03,440 --> 00:22:04,000
1055
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1056
+
1057
+ 265
1058
+ 00:22:04,000 --> 00:22:04,660
1059
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1060
+
1061
+ 266
1062
+ 00:22:04,660 --> 00:22:04,720
1063
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1064
+
1065
+ 267
1066
+ 00:22:04,720 --> 00:22:05,680
1067
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1068
+
1069
+ 268
1070
+ 00:22:05,680 --> 00:22:05,680
1071
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1072
+
1073
+ 269
1074
+ 00:22:05,680 --> 00:22:06,200
1075
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1076
+
1077
+ 270
1078
+ 00:22:06,200 --> 00:22:07,580
1079
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ
1080
+
1081
+ 271
1082
+ 00:22:07,580 --> 00:22:12,590
1083
+ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูŠุฉ ุชุณุชุฎุฏู…ูˆู†ู†ู‚ู„
1084
+
1085
+ 272
1086
+ 00:22:12,590 --> 00:22:16,050
1087
+ ุฏุงุฆู…ุง ุฅุฐุง ูƒุงู†ุช ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุชุชุฎู„ุต ููŠ ุฃุนู„ู‰ ุฃุณู„ุญุฉ
1088
+
1089
+ 273
1090
+ 00:22:16,050 --> 00:22:20,470
1091
+ ุฃุนู†ูŠ ุฃูƒุชุฑ ู…ู† T ุฃู„ูุฉ ุฃูˆ ุฅุฐุง ูƒุงู†ุช ุงู„ุงุณุชุงุชูŠูƒูŠุฉ ุชุชุฎู„ุต
1092
+
1093
+ 274
1094
+ 00:22:20,470 --> 00:22:24,270
1095
+ ููŠ ุฃุณู„ุญุฉ ุงู„ุฃุณูู„ ุฃุนู†ูŠ ุฅุฐุง ูƒุงู†ุช T ุฃุณู„ุญุฉ ุฃูƒุชุฑ ู…ู† ู†ู‚ู„
1096
+
1097
+ 275
1098
+ 00:22:24,270 --> 00:22:28,870
1099
+ T ุฃู„ูุฉ ูู‡ุฐู‡ ุงู„ุตูุญุฉ ู‡ูŠ ููŠ ุงู„ูˆุงู‚ุน ู†ูุณ ู…ุง ูุนู„ู†ุงู‡ ููŠ
1100
+
1101
+ 276
1102
+ 00:22:28,870 --> 00:22:35,930
1103
+ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉ ู†ูุณ ุงู„ูƒู„ุจ ุฃุฎุฏู‡ุง ููŠ ุงู„ุฃูˆู„ ุฒูŠ
1104
+
1105
+ 277
1106
+ 00:22:35,930 --> 00:22:42,330
1107
+ ู…ุง ุญูƒูŠุช ุนู†ุฏูŠ population meansุณุฃุจุฏุฃ ุจุงู„ุงู†ุฏุจู†ุฏู†ุช ูˆููŠ
1108
+
1109
+ 278
1110
+ 00:22:42,330 --> 00:22:45,990
1111
+ ุงู„ุงู†ุฏุจู†ุฏู†ุช ุณู†ุฃุฎุฐ ู…ุงุฐุงุŸ ุณูŠุฌู…ุง ูˆุงู† ูˆุณูŠุฌู…ุง ุชูˆ ูˆุงู†ูˆู†
1112
+
1113
+ 279
1114
+ 00:22:45,990 --> 00:22:49,830
1115
+ ูˆู„ูƒู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู…ุชุณุงูˆู…ูŠู† ู‡ุฐู‡ ู‡ูŠ ุงู„ุงุณุทุงู„ ุงู„ู„ูŠ ุฃู†ุง
1116
+
1117
+ 280
1118
+ 00:22:49,830 --> 00:22:57,530
1119
+ ุดุบุงู„ ููŠู‡ุง ู‡ู†ุง ู‡ู†ุงูƒ ุซู„ุงุซุฉ ุฃุณุงู…ูŠุด ู†ู…ุจุฑ ูˆุงุญุฏ ุงู„ุณุงู…ุจู„ุฒ
1120
+
1121
+ 281
1122
+ 00:22:57,530 --> 00:23:01,690
1123
+ ู‡ู… ุฑุงู†ุฏูˆู…ูŠ ูˆุงู†ุฏุจู†ุฏู†ุชูŠ ุฏุฑูˆู† ุงู„ุนูŠู†ุงุช ุฅุฐุง ุฃุฎุฏู‡ู…
1124
+
1125
+ 282
1126
+ 00:23:01,690 --> 00:23:07,540
1127
+ ุงุชู†ุชูŠู† ุฑุงู†ุฏู…ูŠุนู†ูŠ ุจุดูƒู„ ุนุดูˆุงุฆูŠ ูˆู…ุณุชู‚ู„ ูŠุนู†ูŠ ุชู… ุณุงุญุจ
1128
+
1129
+ 283
1130
+ 00:23:07,540 --> 00:23:11,880
1131
+ ุนุดูˆุงุฆูŠุง ูˆุจุงุณุชู‚ู„ุงู„ูŠุฉ ู…ุนู†ู‰ ุงุณุชู‚ู„ุงู„ูŠุฉ ูŠุนู†ูŠ ุงู„ sample
1132
+
1133
+ 284
1134
+ 00:23:11,880 --> 00:23:16,540
1135
+ from one population does not affect your choice
1136
+
1137
+ 285
1138
+ 00:23:16,540 --> 00:23:20,240
1139
+ from the second population so assumption number
1140
+
1141
+ 286
1142
+ 00:23:20,240 --> 00:23:24,600
1143
+ one samples are randomly and independently drawn
1144
+
1145
+ 287
1146
+ 00:23:24,600 --> 00:23:31,750
1147
+ ุชู… ุณุงุญุจ ุนุดูˆุงุฆูŠุง ูˆุจุทุฑูŠู‚ุฉ ู…ุณุชู‚ู„ุฉ ุฑู‚ู… ุงุชู†ูŠู†ุงู„ุชูˆุฒูŠูŠุน
1148
+
1149
+ 288
1150
+ 00:23:31,750 --> 00:23:38,950
1151
+ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ
1152
+
1153
+ 289
1154
+ 00:23:38,950 --> 00:23:45,520
1155
+ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠ ุฃูˆ ุชู†ุฒูŠุญ ุทุจูŠุนูŠุฃูˆ ุงู„ู€
1156
+
1157
+ 290
1158
+ 00:23:45,520 --> 00:23:49,780
1159
+ Size ู„ู„ุฃูˆู„ ูˆ ุงู„ู€ Size ู„ู„ุชุงู†ูŠ ูƒู„ ูˆุงุญุฏุฉ at least
1160
+
1161
+ 291
1162
+ 00:23:49,780 --> 00:23:55,780
1163
+ ุชู„ุงุชูŠู† ูŠุนู†ูŠ ุฃูƒุจุฑ ุฃูˆ ุณูˆู‰ ุชู„ุงุชูŠู† ู‡ู„ ุงู„ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูˆู„ุง
1164
+
1165
+ 292
1166
+ 00:23:55,780 --> 00:23:59,480
1167
+ ุงู„ุงุชู†ูŠู†ุŸ ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูŠุนู†ูŠ ูƒู„ ูˆุงุญุฏุฉ ุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ
1168
+
1169
+ 293
1170
+ 00:23:59,480 --> 00:24:02,020
1171
+ ุณูˆู‰ ุชู„ุงุชูŠู† ูŠุนู†ูŠ ู„ุง ูˆ๏ฟฝ๏ฟฝุญุฏุฉ ุฎู…ุณุฉ ุฃูˆ ุชู„ุงุชูŠู†ุŒ ูˆุงุญุฏุฉ
1172
+
1173
+ 294
1174
+ 00:24:02,020 --> 00:24:06,320
1175
+ ุนุดุฑูŠู† ู…ู…ู†ูุนุด ู„ุงุฒู… ุงุชู†ูŠู† ู…ุงู„ู‡ู… ุฃูƒุจุฑ ุฃูˆ ุณูˆู‰ ุชู„ุงุชูŠู†
1176
+
1177
+ 295
1178
+ 00:24:06,320 --> 00:24:08,780
1179
+ ุฅุฐุง ุงู„ condition ุงู„ุชุงู†ูŠ ุงู„ populations are
1180
+
1181
+ 296
1182
+ 00:24:08,780 --> 00:24:12,500
1183
+ normally distributed or both sample sizes are at
1184
+
1185
+ 297
1186
+ 00:24:12,500 --> 00:24:18,000
1187
+ least thirdุฑู‚ู… ุชู„ุงุชุฉ ุงู„ู€ Vibration variances are
1188
+
1189
+ 298
1190
+ 00:24:18,000 --> 00:24:23,580
1191
+ ู…ุงู„ู‡ู…ุŸ unknownุŒ but we assume equal ู‡ุฐุง ุงู„
1192
+
1193
+ 299
1194
+ 00:24:23,580 --> 00:24:25,920
1195
+ condition ุงู„ู„ูŠ ุฃู†ุง ุดุบุงู„ ุนู„ูŠู‡ุŒ there are three
1196
+
1197
+ 300
1198
+ 00:24:25,920 --> 00:24:30,540
1199
+ assumptionsุŒ random ูˆ independent ุฑู‚ู… ูˆุงุญุฏุŒ ุงุชู†ูŠู†
1200
+
1201
+ 301
1202
+ 00:24:30,540 --> 00:24:33,360
1203
+ normal ุฃูˆ ุงู„ sizes are large enoughุŒ I mean large
1204
+
1205
+ 302
1206
+ 00:24:33,360 --> 00:24:36,580
1207
+ enough means 30 and aboveุŒ and the last one,
1208
+
1209
+ 303
1210
+ 00:24:36,820 --> 00:24:43,370
1211
+ sigma's are unknown but theyุฎู„ุงุต ู‡ุฐูˆู„ ุงู„ three
1212
+
1213
+ 304
1214
+ 00:24:43,370 --> 00:24:49,130
1215
+ assumptions any question ููŠ ุงูŠ ุณุคุงู„ุฃู‡ ุงู„ doctorate
1216
+
1217
+ 305
1218
+ 00:24:49,130 --> 00:24:53,250
1219
+ population ู…ุด .. ู†ุญูƒูŠ ู…ุน .. ู†ุชุนุงู…ู„ ู…ุน ุงู„ sigma ู…ุด
1220
+
1221
+ 306
1222
+ 00:24:53,250 --> 00:24:55,190
1223
+ ู…ุน ุงู„ variance ู…ุน ุงู„ standard deviation ุตุญูŠุญ
1224
+
1225
+ 307
1226
+ 00:24:55,190 --> 00:24:57,430
1227
+ population standard deviation ุตุญูŠุญ ุตุญูŠุญ ู…ุงู†ุจุญูƒูŠ
1228
+
1229
+ 308
1230
+ 00:24:57,430 --> 00:24:59,730
1231
+ population standard deviation ูˆ population
1232
+
1233
+ 309
1234
+ 00:24:59,730 --> 00:25:02,310
1235
+ variance ุฒูŠ ุจุนุถ ูˆุงุญุฏุฉ square ูˆ ุซุงู†ูŠุฉ ุงู‡ ู‡ูŠ second
1236
+
1237
+ 310
1238
+ 00:25:02,310 --> 00:25:05,570
1239
+ ู…ุด ู…ุดูƒู„ุฉ ู…ุงู†ุจุญูƒูŠ population variance ูˆ ู„ุง .. ู†ูุณ
1240
+
1241
+ 311
1242
+ 00:25:05,570 --> 00:25:08,790
1243
+ ุงู„ุดูŠุก ู†ูุณ ุงู„ .. ุจุณ ุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน ุงู„ sigma ู„ุญุงู„ุฉ
1244
+
1245
+ 312
1246
+ 00:25:08,790 --> 00:25:13,950
1247
+ ุตุญูŠุญ ูุงู„ุดุบู„ ู‡ู†ุดูˆู ุงู„ู„ูŠ ู‡ูˆ ู…ุน ุจุนุถ ุงู„ุงู† ููŠ ุนู†ุฏูŠ
1248
+
1249
+ 313
1250
+ 00:25:13,950 --> 00:25:17,710
1251
+ ุชุนุฑูŠููŠู† ู…ู‡ู…ุงุช ุฌุฏุง ุงู†ุง ุนู†ุฏูŠ two samples ู…ุด ู‡ูŠูƒ
1252
+
1253
+ 314
1254
+ 00:25:18,650 --> 00:25:21,490
1255
+ ุงู„ุณุงู…ุจู„ ุงู„ุฃูˆู„ู‰ Lู‡ุง standard deviation ูˆุงู„ุซุงู†ูŠุฉ ู„ู‡ุง
1256
+
1257
+ 315
1258
+ 00:25:21,490 --> 00:25:25,950
1259
+ standard deviation ู…ุฎุชู„ูุฉ ู‡ุฌู…ุญู‡ู… ู…ุน ุจุนุถ ูˆุงุทู„ุน
1260
+
1261
+ 316
1262
+ 00:25:25,950 --> 00:25:30,470
1263
+ variance ู„ู„ุงุซู†ูŠู† ู…ุน ุจุนุถ ูŠุนู†ูŠ ู†ูุชุฑุถ ุชุจุงูŠู† ุงู„ู…ุฌู…ูˆุนุฉ
1264
+
1265
+ 317
1266
+ 00:25:30,470 --> 00:25:35,190
1267
+ ุชุจุน ุงู„ุทู„ุงุจ ุงู„ variance ุฎู…ุณ ุฎู…ุณุฉ ูˆ ุงู„ุทู„ุงุจ ุนุดุฑูŠู† ุฅูŠุด
1268
+
1269
+ 318
1270
+ 00:25:35,190 --> 00:25:40,130
1271
+ ุงู„ุชุจุงูŠู† ู„ู„ุงุซู†ูŠู† ู…ุน ุจุนุถ ู‡ุฐุง ุจู†ุณู…ูŠู‡ ุงู„ bold variance
1272
+
1273
+ 319
1274
+ 00:25:40,130 --> 00:25:48,720
1275
+ ู…ู†ูุนุด ุฒูŠ ู…ุง ุญูƒุช ุฒู…ูŠู„ุชูƒ ูŠูƒูˆู† ู…ุซู„ุงุนู†ุฏู‰ two groups
1276
+
1277
+ 320
1278
+ 00:25:48,720 --> 00:26:00,300
1279
+ ู…ุซู„ุง female ูˆ male ูˆ ู†ูุชุฑุถ ุงู„ุทู„ุจุงุช ุนุฏุฏู‡ู… ุนุดุฑูŠู† ูˆ
1280
+
1281
+ 321
1282
+ 00:26:00,300 --> 00:26:07,080
1283
+ ุงู„ุทู„ุงุจ ุนุฏุฏู‡ู… ุฎู…ุณุฉ ุนุดุฑ ู†ูุชุฑุถ ุงู„ variance ู„ู„ุทู„ุจุงุช
1284
+
1285
+ 322
1286
+ 00:26:07,080 --> 00:26:13,440
1287
+ ู†ูุชุฑุถ eight point five ูˆ ุงู„ variance ู„ู„ุทู„ุงุจ ู†ูุชุฑุถ
1288
+
1289
+ 323
1290
+ 00:26:13,440 --> 00:26:18,340
1291
+ six point fiveุจู†ุชุทู„ุน ุงู„ variants ู„ู„ุฅุชู†ูŠู† ู…ุน ุจุนุถ
1292
+
1293
+ 324
1294
+ 00:26:18,340 --> 00:26:24,300
1295
+ ุจู†ุณู…ูŠู‡ bold variants ุฅูŠุด ู…ุนู†ู‰ boldุŸ ุงู„ู…ุฌู…ุนุŒ
1296
+
1297
+ 325
1298
+ 00:26:24,300 --> 00:26:32,440
1299
+ ุงู„ุชุจุงูŠู† ุงู„ู…ุฌู…ุน ุงู„ bold variants ุญุงุทูŠู„ู‡
1300
+
1301
+ 326
1302
+ 00:26:32,440 --> 00:26:42,300
1303
+ ุฑุงู†ุฒ SยฒB ูˆ ุงู„ B ู„ูƒู„ู…ุฉ bold ู…ุงู†ูุนุด ุฃุทู„ุน ุงู„ bold
1304
+
1305
+ 327
1306
+ 00:26:42,300 --> 00:26:46,300
1307
+ variants ุฃุฌู…ุน ุงู„ุฅุชู†ูŠู† ู…ุน ุจุนุถู„ุฃู† ุงู„ุญุฌุงู… ุงู„ู„ูŠ ู‡ู… ุงู„ู€
1308
+
1309
+ 328
1310
+ 00:26:46,300 --> 00:26:57,320
1311
+ sizes ู…ุด ุฒูŠ ุจุนุถ ูุงู„ู‚ุงู†ูˆู† ุชุจุนู‡ุง SยฒP ุจูŠุณุงูˆูŠ N1-1 S1ยฒ
1312
+
1313
+ 329
1314
+ 00:26:57,320 --> 00:27:02,680
1315
+ ู„ู„ุนูŠู† ุงู„ุฃูˆู„ู‰ N1 ุงู„ู„ูŠ ู‡ูŠ ุงู„ sample size ู„ู„ุฃูˆู„ู‰ ู†ู‚ุต
1316
+
1317
+ 330
1318
+ 00:27:02,680 --> 00:27:12,200
1319
+ ูˆุงุญุฏ ููŠ S1ยฒ ุฒุงุฏ ุงู„ุชุงู†ูŠุฉ N2 ู†ู‚ุต ูˆุงุญุฏ ููŠ S2 ุชุฑุจูŠุน
1320
+
1321
+ 331
1322
+ 00:27:12,200 --> 00:27:18,410
1323
+ ู…ู‚ุตูˆู… ุนู„ู‰ ู…ูŠู†ุŸุชุชุฐูƒุฑ ูƒุงู† ู‡ู†ุงูƒ ุนุจุงุฑุฉ ุนู† N ู†ู‚ุต ูˆุงุญุฏุŸ
1324
+
1325
+ 332
1326
+ 00:27:18,410 --> 00:27:22,550
1327
+ ูƒุงู† ุจุณ ุฃู† ุฃู†ุง ุนู†ุฏูŠ ุนูŠู†ุชูŠู† ุงู„ุฃูˆู„ุฉ ู‡ุชูƒูˆู† N ู†ู‚ุต ูˆุงุญุฏ
1328
+
1329
+ 333
1330
+ 00:27:22,550 --> 00:27:28,650
1331
+ N ูˆุงุญุฏ ูˆ ุงู„ุชุงู†ูŠุฉ N two minus ูˆุงุญุฏ ูŠุนู†ูŠ ู‡ุชูƒูˆู† N one
1332
+
1333
+ 334
1334
+ 00:27:28,650 --> 00:27:33,970
1335
+ minus one plus N two minus one ุฃูˆ ู…ู…ูƒู† ุงูƒุชุจ ู‡ุฐุง
1336
+
1337
+ 335
1338
+ 00:27:33,970 --> 00:27:40,870
1339
+ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู„ูˆ ุฌู…ุนุชู‡ู… ู…ุน ุจุนุถ ุฅูŠุด ุจุชุทู„ุนูˆุงุŸ ุฌู…ุนูŠู‡ู…
1340
+
1341
+ 336
1342
+ 00:27:40,870 --> 00:27:43,530
1343
+ N one minus one plus N two minus one ุฅูŠุด ุจุชุทู„ุนูˆุง
1344
+
1345
+ 337
1346
+ 00:27:43,530 --> 00:27:48,180
1347
+ ู…ุน ุจุนุถุŸN1 plus N2 minus 2 ู…ู…ุชุงุฒุฉ ูŠุง ุนุฒูŠุฒูŠ ุฃู†ุง
1348
+
1349
+ 338
1350
+ 00:27:48,180 --> 00:27:53,380
1351
+ ู‡ู…ุณุญู‡ ู…ุด ู‡ูƒุชุจ ุฒูŠ ู…ุง ู‡ูˆ ุงู„ูƒุงุชุจ ู‡ู†ุงูƒ ู‡ูƒุชุจ N1 plus N2
1352
+
1353
+ 339
1354
+ 00:27:53,380 --> 00:27:58,320
1355
+ minus 2 ุนุฑูุช ู…ู† ุฃูŠู† ุงุชุฌู‡ุช ุงู„ุฃูˆู„ุฉ N1 minus 1 ูˆ
1356
+
1357
+ 340
1358
+ 00:27:58,320 --> 00:28:02,500
1359
+ ุงู„๏ฟฝ๏ฟฝุงู†ูŠุฉ N2 minus 1 ุฅุฌู…ุนูŠู† ุจุทู„ุน N1 plus N2 minus 2
1360
+
1361
+ 341
1362
+ 00:28:02,500 --> 00:28:07,310
1363
+ ุฅุฐุง ู‡ูŠ ุงู„ุชุจุงูŠู† ุงู„ุฌุฏูŠุฏ ู‡ุฐุง ููŠ ุญุงู„ุฉ ู…ูŠู†ุŸุฅู† ุงู„ู€
1364
+
1365
+ 342
1366
+ 00:28:07,310 --> 00:28:13,210
1367
+ variances are unknown ุจุณ ู…ุง ู„ู‡ู… they are equal ุทูŠุจ
1368
+
1369
+ 343
1370
+ 00:28:13,210 --> 00:28:21,830
1371
+ ุฏูŠ ุงู„ statistic ุนุจุงุฑุฉ ุนู† ุงูŠู‡ุŸ
1372
+
1373
+ 344
1374
+ 00:28:21,830 --> 00:28:25,150
1375
+ ุชุฐูƒุฑูˆุง
1376
+
1377
+ 345
1378
+ 00:28:25,150 --> 00:28:29,290
1379
+ ุงู„ one sampleุŸ ุฅูŠุด ุงู„ู‚ุงู†ูˆู†ุŸ ุงู„ X bar minus X bar
1380
+
1381
+ 346
1382
+ 00:28:29,290 --> 00:28:34,610
1383
+ minus Mu minus Mu ุนู„ู‰ over standard over square
1384
+
1385
+ 347
1386
+ 00:28:34,610 --> 00:28:40,970
1387
+ root of oneุทุจุนุง ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ู…ู…ูƒู† ุงูƒุชุจ ุจุดูƒู„ ุชุงู†ูŠ x
1388
+
1389
+ 348
1390
+ 00:28:40,970 --> 00:28:45,690
1391
+ bar ู†ู‚ุต ู…ูŠูˆ ุงู„ู…ู‚ุงู… ู…ู…ูƒู† ุงุนู…ู„ู‡ ุฒูŠ ู‡ูŠูƒ ู…ุด ุจูŠู†ูุน
1392
+
1393
+ 349
1394
+ 00:28:45,690 --> 00:28:49,990
1395
+ ุทุงู„ู…ุง
1396
+
1397
+ 350
1398
+ 00:28:49,990 --> 00:28:52,310
1399
+ ุจูƒุชุจ s ุนู„ู‰ square root ู„ุฅู† ูƒู„ู‡ ุจุญูˆุท ุชุญุช square
1400
+
1401
+ 351
1402
+ 00:28:52,310 --> 00:28:58,270
1403
+ root ุงู„ุงุณุด ุจุชุฎุด ุฌูˆุง ุชุฑุจูŠู‡ ู…ุธุจูˆุท ูˆู‡ูŠ ุงู„ุฃู†ู…ูˆุฑ ู‡ูƒ ุตุญ
1404
+
1405
+ 352
1406
+ 00:28:58,270 --> 00:29:07,050
1407
+ ู‡ุฐุง ู„ูˆ ุงู†ุง ุฃุฎุฏู†ุง ู‡ุฐุง ูƒู„ู‡ ู‡ู†ุง for one sampleุจุงู„ุดุฑุทุฉ
1408
+
1409
+ 353
1410
+ 00:29:07,050 --> 00:29:11,470
1411
+ ุงู„ุชุณุนุฉ ุงู†ุง ุจุชูƒู„ู… ุนู„ู‰ two samples ูุชุณุฉ ุชุณูƒ ุงุด
1412
+
1413
+ 354
1414
+ 00:29:11,470 --> 00:29:15,470
1415
+ ู‡ุชุณุงูˆูŠ ูุงูƒุฒูŠ
1416
+
1417
+ 355
1418
+ 00:29:15,470 --> 00:29:19,990
1419
+ ู…ุนุงูŠุง ุจุฏู„ ุงู„ X bar ูˆุงุญุฏุฉ ุงูŠุด ุตุงุฑ ุนู†ุฏู‡ ุงู„
1420
+
1421
+ 356
1422
+ 00:29:19,990 --> 00:29:23,390
1423
+ difference between ู…ูŠูˆ ูˆุงู† minus ู…ูŠูˆ ุงุชูˆุง ุงู„
1424
+
1425
+ 357
1426
+ 00:29:23,390 --> 00:29:27,850
1427
+ estimate ู„ู‡ X one bar minus X one bar ูŠุนู†ูŠ ุจุฏู„ ุงู„
1428
+
1429
+ 358
1430
+ 00:29:27,850 --> 00:29:31,310
1431
+ X bar ู‡ูŠ ุฏู‡ ุงูŠุด ุตุงุฑุช X one bar minus X one bar
1432
+
1433
+ 359
1434
+ 00:29:31,310 --> 00:29:38,530
1435
+ minus ูˆุจุฏู„ ู…ูŠูˆู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ
1436
+
1437
+ 360
1438
+ 00:29:38,530 --> 00:29:40,590
1439
+ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†
1440
+
1441
+ 361
1442
+ 00:29:40,590 --> 00:29:43,890
1443
+ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ
1444
+
1445
+ 362
1446
+ 00:29:43,890 --> 00:29:46,570
1447
+ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู† ู…ุงูŠู†ุณ
1448
+
1449
+ 363
1450
+ 00:29:46,570 --> 00:29:48,890
1451
+ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ
1452
+
1453
+ 364
1454
+ 00:29:48,890 --> 00:29:48,930
1455
+ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ
1456
+
1457
+ 365
1458
+ 00:29:48,930 --> 00:29:49,450
1459
+ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ
1460
+
1461
+ 366
1462
+ 00:29:49,450 --> 00:29:52,130
1463
+ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ ู…ูŠุชูˆ ู…ูŠูˆ ูˆุงู†ุณ ู…ุงูŠู†ุณ
1464
+
1465
+ 367
1466
+ 00:29:52,130 --> 00:30:00,230
1467
+ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุงูŠู†ุณ ู…ุง
1468
+
1469
+ 368
1470
+ 00:30:02,670 --> 00:30:06,550
1471
+ ุชู„ุงุญุธ ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุตุญ ุดูƒู„ู‡ ุฌุฏูŠุฏ ู„ุฅู† ุจู‚ุฏุฑ ุฃุนุฑูู‡ ู…ู†
1472
+
1473
+ 369
1474
+ 00:30:06,550 --> 00:30:11,590
1475
+ ุฃูŠู† ู…ู† ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ x bar minus mu ุนู„ู‰ s ุนู„ู‰
1476
+
1477
+ 370
1478
+ 00:30:11,590 --> 00:30:15,690
1479
+ square root of n ูƒุฏู‡ ูƒุฏู‡ ููŠ ุงู„ุชุญุงู…ู ุฃุนุทูŠูƒ ุงู„ู‚ุงู†ูˆู†
1480
+
1481
+ 371
1482
+ 00:30:15,690 --> 00:30:19,770
1483
+ ุจุชุงุน square b ูˆ ุจุชุงุน T statistic ุงู„ู„ูŠ ูŠุนู†ูŠ ุงู„ T
1484
+
1485
+ 372
1486
+ 00:30:19,770 --> 00:30:25,890
1487
+ statistic ู‡ุฐุง ู„ู‡ T distribution with degrees of
1488
+
1489
+ 373
1490
+ 00:30:25,890 --> 00:30:31,100
1491
+ freedomุชุชุฐูƒุฑ ุฅูŠู‡ ููŠ ู„ู…ุง ูƒุงู†ุช one sample ุงู„ู€DF ู…ุด
1492
+
1493
+ 374
1494
+ 00:30:31,100 --> 00:30:36,480
1495
+ ูƒุงู†ุช ุชุชุณุงูˆูŠ N-1 N-1 ู…ุธุจูˆุท ุทุจ ู„ู…ุง ุฃุตุจุญุช two samples
1496
+
1497
+ 375
1498
+ 00:30:36,480 --> 00:30:44,660
1499
+ ุฅูŠุด ู‡ูŠูƒูˆู†ุŸ ุงู„ุฃูˆู„ N1-1 ูˆ ุงู„ุชุงู†ูŠ N2-1 ู„ูˆ ุฌู…ุนุชู‡ู… N1
1500
+
1501
+ 376
1502
+ 00:30:44,660 --> 00:30:48,620
1503
+ plus N2 minus 2 ุฅุฐุง degrees of freedom equals N1
1504
+
1505
+ 377
1506
+ 00:30:48,620 --> 00:30:52,880
1507
+ plus N2 minus 2 ูŠุนู†ูŠ ูƒู„ ุงู„ุดูŠุก ุงู„ุฌุฏูŠุฏ ููŠ ุงู„ู…ูˆุถูˆุน
1508
+
1509
+ 378
1510
+ 00:30:52,880 --> 00:30:59,720
1511
+ ุงู„ู„ูŠ ุชุจู‚ู‰ ุงู„ูŠูˆู… ุฃุทู„ุน ุงู„ SยฒP ู‡ุฐู‡ ุงู„ู‚ุงู†ูˆู† ุงู„ุฌุฏูŠุฏูˆู‡ูŠ
1512
+
1513
+ 379
1514
+ 00:30:59,720 --> 00:31:02,580
1515
+ ุงู„ุชู„ุฉ ุงู„ุฌุฏูŠุฏุฉ ูˆุงุถุญุฉ ุงู†ู‡ุง extension ู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ
1516
+
1517
+ 380
1518
+ 00:31:02,580 --> 00:31:08,420
1519
+ ุงู„ุฃูˆู„ ูˆ ุงู„ DFD ู…ุง ูƒุงู†ุช N ุฃู‚ุตุฏู‡ุง ุญุตุงุฑุฉ N1 plus N2
1520
+
1521
+ 381
1522
+ 00:31:08,420 --> 00:31:14,500
1523
+ minus ุงู„ confidence interval ู‡ุฐู‡ ู†ุนู…ู„ู‡ุง skip ุฒูŠ ู…ุง
1524
+
1525
+ 382
1526
+ 00:31:14,500 --> 00:31:19,880
1527
+ ุญูƒูŠุช ุญุฏ
1528
+
1529
+ 383
1530
+ 00:31:19,880 --> 00:31:24,780
1531
+ ูŠู‚ุฑุฃ ุงู„ู„ูŠ ุงู†ุชู‡ู‰ you are of a neutral English for a
1532
+
1533
+ 384
1534
+ 00:31:24,780 --> 00:31:29,940
1535
+ brokerage firmIs there a difference in a divided
1536
+
1537
+ 385
1538
+ 00:31:29,940 --> 00:31:37,620
1539
+ yield between stocks listed on the NYSE
1540
+
1541
+ 386
1542
+ 00:31:37,620 --> 00:31:40,680
1543
+ and NASDAQ?
1544
+
1545
+ 387
1546
+ 00:31:42,790 --> 00:31:45,570
1547
+ ุงู„ู„ูŠ ุงู†ุง ุจุญูƒูŠู‡ ุงู† ุงูุชุฑุถ you are financial analyst
1548
+
1549
+ 388
1550
+ 00:31:45,570 --> 00:31:50,810
1551
+ ุงู†ุช ู…ุญู„ ุงู„ู…ุงู„ูŠ for brokerage firm brokerage firm
1552
+
1553
+ 389
1554
+ 00:31:50,810 --> 00:31:56,490
1555
+ ูŠุนู†ูŠ ุดุฑูƒุฉ ู„ู„ุณู…ุณุฑุฉ is there a difference in
1556
+
1557
+ 390
1558
+ 00:31:56,490 --> 00:32:01,130
1559
+ dividend yieldุŸ ุจุชุนุฑู ุงู„ุดุฑูƒุงุช ุงู„ semester ุจูŠูˆุฒุนูˆุง
1560
+
1561
+ 391
1562
+ 00:32:01,130 --> 00:32:05,290
1563
+ ุฃุฑุจุงุญู‡ุงุŒ ู…ุธุจูˆุท ู„ู„ุฃุณู‡ู… ูˆ ููŠ ุนู†ุฏู‡ ู†ูˆุนูŠู† ู…ู† ุงู„
1564
+
1565
+ 392
1566
+ 00:32:05,290 --> 00:32:10,770
1567
+ stocksุŒ ูˆุงุญุฏ ุงุฎุชุตุงุฑ ูˆ ู†ูŠุณ NYSE ูˆ ุงู„ุชุงู†ูŠ ุงู„ู†ุงุณ ุฏู‡
1568
+
1569
+ 393
1570
+ 00:32:11,490 --> 00:32:14,610
1571
+ ุจู†ูุชุฑุถ ุฃู†ูƒ ุชุฌู…ุน ุงู„ุจูŠุงู†ุงุช ุงู„ุชุงู„ูŠุฉ ุนู†ุฏูŠ ุดูˆูŠุฉ ุจูŠุฑุฉ
1572
+
1573
+ 394
1574
+ 00:32:14,610 --> 00:32:23,550
1575
+ number of stacks ู„ู†ูŠุณ 21 ุงู„ู€ average ุงู„ sample
1576
+
1577
+ 395
1578
+ 00:32:23,550 --> 00:32:29,230
1579
+ mean 3.27 ูˆ ุงู„ sample standard deviation 1.3 other
1580
+
1581
+ 396
1582
+ 00:32:29,230 --> 00:32:35,530
1583
+ stack there are 25 of them the average was I mean
1584
+
1585
+ 397
1586
+ 00:32:35,530 --> 00:32:39,570
1587
+ the sample mean was 2.53 and standard deviation 1
1588
+
1589
+ 398
1590
+ 00:32:39,570 --> 00:32:44,820
1591
+ .60ุฅุฐุง ูˆุงุถุญ ุฅู† ููŠ ุนู†ุฏูŠ two different groups ูˆุงุญุฏุฉ
1592
+
1593
+ 399
1594
+ 00:32:44,820 --> 00:32:49,620
1595
+ stack A ู†ูุชุฑุถ ูˆุงู„ุซุงู†ูŠุฉ stack B ู†ุดูˆู ุฅุฐุง ูƒุงู† ููŠ ูุฑู‚
1596
+
1597
+ 400
1598
+ 00:32:49,620 --> 00:32:54,160
1599
+ ุจูŠู†ู‡ู… ูˆู„ุง ู„ุงุŒ ูุจูŠุณุฃู„ assuming both populations are
1600
+
1601
+ 401
1602
+ 00:32:54,160 --> 00:32:58,900
1603
+ approximately normal ู‡ูŠ ุฃูˆู„ ุดุฑุทุŒ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุฃูˆ
1604
+
1605
+ 402
1606
+ 00:32:58,900 --> 00:33:03,060
1607
+ ุชู‚ุฑูŠุจุงุŒ with equal variances ู‡ูŠ ุชุงู†ูŠ ุดุฑุทุŒ ุงุญู†ุง
1608
+
1609
+ 403
1610
+ 00:33:03,060 --> 00:33:07,370
1611
+ ุญุงูƒูŠู†ุง ููŠ ุชู„ุงุช ุดุฑูˆุท ู…ุธุจูˆุทุŒ ุฅูŠุด ุงู„ุฃูˆู„ ูƒุงู†ุŸrandom
1612
+
1613
+ 404
1614
+ 00:33:07,370 --> 00:33:11,350
1615
+ ู‡ุฏูˆู„ุฉ random ูˆ independent ู„ุฃู† ุงู„ needs ุบูŠุฑ ู†ูุณูƒ
1616
+
1617
+ 405
1618
+ 00:33:11,350 --> 00:33:14,470
1619
+ ู‡ุฐุง ุงู„ุณู‡ู… ูˆ ู‡ุฐุง ุงู„ุณู‡ู… ู…ุฎุชู„ู ู…ุฌู…ูˆุนุชู‡ู… ู†ูุณู‡ู… ู…ุฎุชู„ูุฉ
1620
+
1621
+ 406
1622
+ 00:33:14,470 --> 00:33:18,910
1623
+ ูุจุณุฃู„ is there a difference in mean yield ู‡ู„ ููŠ
1624
+
1625
+ 407
1626
+ 00:33:18,910 --> 00:33:23,410
1627
+ ูุฑู‚ ููŠ ุงู„ุฃุฑุจุงุญ ุงู„ู…ูˆุฌูˆุฏุฉ ูŠุนู†ูŠ ุงู„ุฃูˆู„ ุจู‚ู‰ ููŠ ู…ู‚ุตุฏ 3
1628
+
1629
+ 408
1630
+ 00:33:23,410 --> 00:33:28,930
1631
+ .27 ูˆ ุงู„ุชุงู†ูŠ 2.53 ูˆ ุงู„ average ูˆุงุถุญ ุฃู†ู‡ ููŠู‡ ูุฑูˆู‚ุงุช
1632
+
1633
+ 409
1634
+ 00:33:28,930 --> 00:33:33,010
1635
+ ุจูŠู†ู‡ู… ูˆู„ุง ู„ุฃ ู…ุงู‚ุฏุฑุด ุฃุญุฏุฏ ุฅู„ุง ุฃุนู…ู„ testing ูˆุฎู„ู‘ูŠ
1636
+
1637
+ 410
1638
+ 00:33:33,010 --> 00:33:37,280
1639
+ Alpha ุงู„ุณุงูˆู‰ ููŠ five yearsุทูŠุจ ู‡ุฐุง ุงู„ example one
1640
+
1641
+ 411
1642
+ 00:33:37,280 --> 00:33:42,700
1643
+ -tailed or two-tailed? two-tailed ุณุจุจ is there a
1644
+
1645
+ 412
1646
+ 00:33:42,700 --> 00:33:46,460
1647
+ differenceุŸ ููŠู‡ ูุฑู‚ ุจูŠู†ู‡ู…ุŒ ู…ุงุญูƒูŠุด ุฃูƒุจุฑ ูˆ ู„ุง ุฃู‚ู„ุŒ
1648
+
1649
+ 413
1650
+ 00:33:46,460 --> 00:33:49,660
1651
+ ู…ุงุญูƒูŠุด ู…ุซู„ุง ุงู„ู†ุงุณ is greater thanุŒ ู…ุงุญูƒูŠุด ุงู„ู†ุงุณ
1652
+
1653
+ 414
1654
+ 00:33:49,660 --> 00:33:56,020
1655
+ smaller thanุŒ ู‡ู„ ููŠู‡ ูุฑู‚ ุจูŠู†ู‡ู… ูˆ ู„ุง ู„ุฃุŸ ููŠ ุงู„
1656
+
1657
+ 415
1658
+ 00:33:56,020 --> 00:33:59,840
1659
+ meansุŒ ุทูŠุจ mean ูˆ ู„ุง proportionุŸ meanุŒ ูŠุนู†ูŠ ู‡ูˆ
1660
+
1661
+ 416
1662
+ 00:33:59,840 --> 00:34:02,320
1663
+ ูˆุงุถุญุŒ it's a sample of meanุŒ ูู‚ู„ุช ู„ู‡ุง ู…ุณุฃู„ุฉ ูˆุงุถุญุฉ
1664
+
1665
+ 417
1666
+ 00:34:04,370 --> 00:34:11,750
1667
+ ุฅุฐุงู‹ ุฃูˆู„ step ุจู†ุนู…ู„ู‡ุง ูƒุงู„ุนุชูŠุง ุจู†ุนู…ู„ state null and
1668
+
1669
+ 418
1670
+ 00:34:11,750 --> 00:34:15,330
1671
+ alternate hypothesis ุจูƒุชุจ ุงู„ู€ null and alternate
1672
+
1673
+ 419
1674
+ 00:34:15,330 --> 00:34:19,470
1675
+ hypothesis ูŠุนู†ูŠ ุจูƒุชุจ ูุงุฏูŠุฉ ุตูุฑูŠุฉ ูˆุงู„ุจุฏูŠู„ุฉ ุฒูŠ ู…ุง
1676
+
1677
+ 420
1678
+ 00:34:19,470 --> 00:34:26,140
1679
+ ุญูƒูŠุช ู…ุงูƒุงู†ุด ูˆุงุถุญ ุฅู† ููŠ directionูุจุงู„ุชุงู„ูŠ ุจุงุฎุฏู‡ุง ู…ูŠ
1680
+
1681
+ 421
1682
+ 00:34:26,140 --> 00:34:34,400
1683
+ ูˆุงู† ู…ุงูŠู†ูˆุณ ู…ูŠ ุงุชูˆ ูู‡ูˆ ู„ูŠุณ ุงูŠู‚ุงู„ูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1684
+
1685
+ 422
1686
+ 00:34:34,400 --> 00:34:34,400
1687
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1688
+
1689
+ 423
1690
+ 00:34:34,400 --> 00:34:34,500
1691
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1692
+
1693
+ 424
1694
+ 00:34:34,500 --> 00:34:37,760
1695
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1696
+
1697
+ 425
1698
+ 00:34:37,760 --> 00:34:41,260
1699
+ ู†ูุณูŠ
1700
+
1701
+ 426
1702
+ 00:34:41,260 --> 00:34:43,320
1703
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1704
+
1705
+ 427
1706
+ 00:34:43,320 --> 00:34:43,320
1707
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1708
+
1709
+ 428
1710
+ 00:34:43,320 --> 00:34:43,480
1711
+ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ ู†ูุณูŠ
1712
+
1713
+ 429
1714
+ 00:34:43,480 --> 00:34:43,840
1715
+ ู†ูุณูŠ ู†ูุณูŠ
1716
+
1717
+ 430
1718
+ 00:34:48,960 --> 00:34:52,580
1719
+ ุจุงู„ุชุงู„ูŠ ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู„ู†ู‚ูˆู… ุจุชุฎุตูŠุต
1720
+
1721
+ 431
1722
+ 00:34:52,580 --> 00:34:55,140
1723
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุชูŠ ุชุณุชุฎุฏู…ู‡ุง ู„ู†ู‚ูˆู… ุจุชุญุณูŠู† ู‚ูŠู…ุฉ SยฒP ู„ุฃู† ููŠ
1724
+
1725
+ 432
1726
+ 00:34:55,140 --> 00:34:59,500
1727
+ ุงู„ุฃูˆู„ ูŠุฌุจ ุฃู† ุฃุญุณุจ SยฒP ุซู… ุฃุนูˆุฏ ููŠู‡ุง ููŠ ุงู„ู…ุนุงุฏู„ุฉ
1728
+
1729
+ 433
1730
+ 00:34:59,500 --> 00:35:07,200
1731
+ ุงู„ุชูŠ ุชุณุชุฎุฏู…ู‡ุง ู„ุงู† ู†ุญุณุจ SยฒP ู„ูˆ
1732
+
1733
+ 434
1734
+ 00:35:07,200 --> 00:35:11,080
1735
+ ุฑุฌุนุช ุนู„ู‰ ุงู„ data ู‡ูŠ ุงู„ data ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุธุจูˆุท ุงู„ N1
1736
+
1737
+ 435
1738
+ 00:35:11,080 --> 00:35:15,120
1739
+ ุงูŠุด ู…ุชุณุงูˆูŠ 21
1740
+
1741
+ 436
1742
+ 00:35:15,120 --> 00:35:21,370
1743
+ minus 1S1ยฒ ุงู„ู„ูŠ ู„ุงุฒู… ุฃุฑุจุญ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ุฏูˆู„ .. ู‡ุฏูˆู„
1744
+
1745
+ 437
1746
+ 00:35:21,370 --> 00:35:24,370
1747
+ ุงู„ู€ sample standard deviation ู…ุธุจูˆุท ุงู„ู„ูŠ ู‡ุฏูˆู„ S
1748
+
1749
+ 438
1750
+ 00:35:24,370 --> 00:35:29,850
1751
+ plus
1752
+
1753
+ 439
1754
+ 00:35:29,850 --> 00:35:39,090
1755
+ N2 25 minus 1 divided
1756
+
1757
+ 440
1758
+ 00:35:39,090 --> 00:35:49,630
1759
+ by N1 plus N2 minus 2ุชุนูˆูŠุถ ู…ุจุงุดุฑ ูˆุงุถุญ ุงู„ุชุนูˆูŠุถ ู„ูˆ
1760
+
1761
+ 441
1762
+ 00:35:49,630 --> 00:35:58,090
1763
+ ุนู…ู„ุชูŠู‡ุง ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ 1.5021 ุฎู„ุงุตุŸ
1764
+
1765
+ 442
1766
+ 00:35:58,090 --> 00:36:04,750
1767
+ ุจุนุฏู‡ุง ุจุญุณุจ ุงู„ T ุงู„ T-stat ุงู„ T-stat ุงู„ู‚ุงู†ูˆู† ู‡ูŠ X1
1768
+
1769
+ 443
1770
+ 00:36:04,750 --> 00:36:13,150
1771
+ bar minus X2 bar X1 bar ูƒุฏู‡ุŸ ู„ูˆ ุฑุฌุนุช ุชุงู†ูŠ 3.27
1772
+
1773
+ 444
1774
+ 00:36:15,660 --> 00:36:26,600
1775
+ -X2 bar 2.53-MU1
1776
+
1777
+ 445
1778
+ 00:36:26,600 --> 00:36:33,440
1779
+ -MU2 ู…ุงุฐุง ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู†ู‡ู…ุŸ 0 ุฃุนู„ู‰ ู…ู† 0 ู‡ุฐุง ุงู„ูุฑู‚ ู‡ูˆ
1780
+
1781
+ 446
1782
+ 00:36:33,440 --> 00:36:41,140
1783
+ 0 ู…ู‚ูŠู… ู…ู† square root of .. ู„ุง ุชู†ุณู‰ ุฃู† ู‡ู†ุงูƒ S2B
1784
+
1785
+ 447
1786
+ 00:36:42,730 --> 00:36:52,070
1787
+ 1.5 ู‡ูŠ S2B 1 21 plus 1 over 25 ุงู„ู„ูŠ ู‡ูŠุทู„ุน ู…ุนุงูŠุง
1788
+
1789
+ 448
1790
+ 00:36:52,070 --> 00:36:58,090
1791
+ ุนุจุงุฑุฉ ุนู† ู…ูŠู† ุงู„ T statistic ุชุญุณุจูŠู‡ุง ุจุฑุงุญุชูƒ 2.05
1792
+
1793
+ 449
1794
+ 00:36:58,090 --> 00:37:06,410
1795
+ ู‡ุฐุง ุงู„ value ู„ T statistic ุฎู„ุงุตุŸ ู„ุฐุง step 1 ูƒุชุงุจุฉ
1796
+
1797
+ 450
1798
+ 00:37:06,410 --> 00:37:09,430
1799
+ ุงู„ null ูˆ ุงู„ alternative hypothesis step 2 ู†ุญู†
1800
+
1801
+ 451
1802
+ 00:37:09,430 --> 00:37:13,100
1803
+ ู†ูƒู…ู„ ู‡ุฐุง ุงู„ statistic in two stepsุจุงุฑูŠุงู†ุงุช ูƒุจูŠุฑุฉ
1804
+
1805
+ 452
1806
+ 00:37:13,100 --> 00:37:19,020
1807
+ ุซู… ู‚ูŠู…ุฉ T ุซุงู†ูˆูŠุฉ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1808
+
1809
+ 453
1810
+ 00:37:19,020 --> 00:37:23,780
1811
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1812
+
1813
+ 454
1814
+ 00:37:23,780 --> 00:37:24,880
1815
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1816
+
1817
+ 455
1818
+ 00:37:24,880 --> 00:37:25,440
1819
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1820
+
1821
+ 456
1822
+ 00:37:25,440 --> 00:37:25,440
1823
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1824
+
1825
+ 457
1826
+ 00:37:25,440 --> 00:37:25,440
1827
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1828
+
1829
+ 458
1830
+ 00:37:25,440 --> 00:37:31,520
1831
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
1832
+
1833
+ 459
1834
+ 00:37:31,520 --> 00:37:40,100
1835
+ ุช
1836
+
1837
+ 460
1838
+ 00:37:41,350 --> 00:37:47,590
1839
+ 5% ููŠ ุงู„ู€ alpha over 2 0 to 5 ุนุดุงู† ุชุทู„ุน ุงู„
1840
+
1841
+ 461
1842
+ 00:37:47,590 --> 00:37:52,290
1843
+ critical ู‡ูŠ ุงู„ alpha ููŠ ุงู„ุฃูˆู„ ุงู„ DF ู…ุด ุจุชุณุงูˆูŠ in
1844
+
1845
+ 462
1846
+ 00:37:52,290 --> 00:37:58,450
1847
+ one plus in two minus two ู‡ูŠ in one ุจุชู„ุน
1848
+
1849
+ 463
1850
+ 00:37:58,450 --> 00:38:04,450
1851
+ ุฃุฑุจุน ูˆ ุฃุฑุจุนูŠู† ุฅุฐุง ุฃู†ุง ุจุฑูˆุญ ุนู„ู‰ ุงู„ table ุชุจุน ุงู„ T
1852
+
1853
+ 464
1854
+ 00:38:04,450 --> 00:38:13,250
1855
+ table ุงู‡ ุงู„ T test ู‡ุงูŠ ุงู„ T ุงู„ DF ู…ุน ุงู„ ..ู…ุด ุดูˆุŸ
1856
+
1857
+ 465
1858
+ 00:38:13,250 --> 00:38:18,390
1859
+ ุงู„ table ุงู„ู…ุนู†ู‰ ุจูŠุนุทูŠ ู„ูŠ ุฑู‚ู… ุฏุฑุงูŠุฉ ู…ุด ู‡ูŠูƒ ูˆ my
1860
+
1861
+ 466
1862
+ 00:38:18,390 --> 00:38:21,510
1863
+ left ู†ูุณ ุงู„ุดูŠ ุจุชูƒูˆู† ุจุณ ุจุงู„ negative ููŠ ุงู„ุฃูˆู„ we
1864
+
1865
+ 467
1866
+ 00:38:21,510 --> 00:38:25,790
1867
+ locate the degrees of freedom ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนูŠู† ู…ุด
1868
+
1869
+ 468
1870
+ 00:38:25,790 --> 00:38:28,950
1871
+ ู‡ูŠูƒ ุงู„ table ู…ุงุจูŠุนุทูŠู‡ุด ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนูŠู† ู…ุงุจูŠุนุทูŠู‡
1872
+
1873
+ 469
1874
+ 00:38:28,950 --> 00:38:34,010
1875
+ ุฃุฑุจุนูŠู† ูˆ ุฎู…ุณูŠู† ููŠ ุจุนุถ ุงู„ tables ุจุชุจุนุช ุฃุฑุจุนูŠู† ูˆ
1876
+
1877
+ 470
1878
+ 00:38:34,010 --> 00:38:37,200
1879
+ ูˆุงุญุฏ ูˆ ุฃุฑุจุนูŠู† ู„ุบุงูŠุฉ ุฒูŠ ู…ุง ุฃู†ุง ู…ุงุดูŠ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉุจุณ
1880
+
1881
+ 471
1882
+ 00:38:37,200 --> 00:38:41,520
1883
+ ุชุจู‚ู‰ ุนู†ุฏู‰ ู…ุนุทู‰ ุฃุฑุจุนูŠู† ูˆู…ุนุทู‰ ุฎู…ุณูŠู† ุฎุฏ ุฃู‚ุฑุจ ูˆุงุญุฏุฉ
1884
+
1885
+ 472
1886
+ 00:38:41,520 --> 00:38:45,020
1887
+ ุฅู„ูŠูƒ ุจู†ุงุฎุฏู‡ุง ู„ุฃุฑุจุนูŠู† ุงู„ุฌูˆุงุจ ู‡ูŠุทู„ุน ู…ุนุงูŠุง
1888
+
1889
+ 473
1890
+ 00:38:45,020 --> 00:38:48,380
1891
+ approximate result ู…ู…ูƒู† ุงู„ูƒุชุงุจ ูŠุนุทูŠ ุงู„ exact one
1892
+
1893
+ 474
1894
+ 00:38:48,380 --> 00:38:52,320
1895
+ ู…ุด ู…ุดูƒู„ุฉ ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุจูŠู†ู‡ู… ุฎุฏ ุฃุฑุจุนูŠู† ุฃูˆ ุฎู…ุณูŠู† ุฎุฏ
1896
+
1897
+ 475
1898
+ 00:38:52,320 --> 00:38:57,260
1899
+ ุฃุฑุจุนูŠู† ูˆAlpha over two ู…ุด ู…ุชุณุงูˆูŠ ุงู„ upper tail
1900
+
1901
+ 476
1902
+ 00:38:57,260 --> 00:39:03,820
1903
+ probability 0 to 5 ู…ุด ู‡ูŠูƒ ู…ุด ู‡ูŠ 5% ุนู„ู‰ ุงู„ 2 0 to 5
1904
+
1905
+ 477
1906
+ 00:39:03,820 --> 00:39:06,100
1907
+ ู„ูˆ ู…ุดูŠุช ู…ุนุงูŠุง ุงู„ุฃุฑุจุนูŠู†
1908
+
1909
+ 478
1910
+ 00:39:09,150 --> 00:39:13,410
1911
+ ู…ุธุจูˆุท ู‡ูŠูƒ ูŠุนู†ูŠ 2.021 ุฅุฐุง ุงู„ point ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ
1912
+
1913
+ 479
1914
+ 00:39:13,410 --> 00:39:19,350
1915
+ ุงูƒุฑุชูƒ ู‡ูŠ 2.021 ุทุจ ู‡ุฐุง approximately ุฅุฐุง
1916
+
1917
+ 480
1918
+ 00:39:19,350 --> 00:39:22,750
1919
+ ุทู„ุนุชู‡ุง ุงู„ approximate answer ุฎุฏ ุจุงู„ูƒ ุงุณุชุฎุฏุงู… ุงู„
1920
+
1921
+ 481
1922
+ 00:39:22,750 --> 00:39:25,810
1923
+ table ุงู„ูŠูˆู… ุฒูŠ ู…ุง ุฃุฎุฏู†ุงู‡ ู‚ุจู„ ู‡ูŠูƒ ู†ูุณ ุงู„ุฌุซุฉ ุจุณ
1924
+
1925
+ 482
1926
+ 00:39:25,810 --> 00:39:30,750
1927
+ ุงุฎุชู„ู ุงู„ DF ุงู„ DF 40 ุฃูˆ 50 ู„ุญุธุฉ ู„ูˆ ุฃุฎุฏุช ุงู„ 50
1928
+
1929
+ 483
1930
+ 00:39:30,750 --> 00:39:38,250
1931
+ ุจูŠุทู„ุน 2.009 ูุงู‡ู…ุด ูƒุจูŠุฑ ู‡ูŠ ุนุงู„ุฌุงูŠุฉ ุจูŠู† ุงู„ุฅุชู†ูŠู†ุจูŠู†
1932
+
1933
+ 484
1934
+ 00:39:38,250 --> 00:39:45,450
1935
+ ุงู„ู€ 2.2009 ูˆ 2.021 ู…ุด ู‡ุชูุฑุฌ ูƒุชูŠุฑ ุจุงู„ุงุชู†ูŠู† ุงู„ุงู†
1936
+
1937
+ 485
1938
+ 00:39:45,450 --> 00:39:50,130
1939
+ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู† ุงู†ุง ุงุนู…ู„ุช ุงู„ location ู„ู„ critical
1940
+
1941
+ 486
1942
+ 00:39:50,130 --> 00:39:55,230
1943
+ values why it is statistic ุงู„ุงู† ู†ุณุฃู„ ู†ูุณูƒ is the
1944
+
1945
+ 487
1946
+ 00:39:55,230 --> 00:40:03,100
1947
+ valueู‡ูˆ ู‚ูŠู…ุฉ ุชู‚ุน
1948
+
1949
+ 488
1950
+ 00:40:03,100 --> 00:40:07,120
1951
+ ุฌูˆุงู‡ูŠู† ุงูˆ ุชู‚ุน ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ ุงุฐุง ูˆู‚ุนุช ูˆุงุญุฏุฉ ู…ู†ู‡ู…
1952
+
1953
+ 489
1954
+ 00:40:07,120 --> 00:40:11,300
1955
+ ุฎู„ุงุต ููŠู‡ reject rejection right ูˆ rejection left
1956
+
1957
+ 490
1958
+ 00:40:11,300 --> 00:40:19,730
1959
+ ูˆุงุถุญ 2.04 ุงูƒุจุฑ ูˆู„ุง ู…ุดูƒู„ุฉ ุงูƒุจุฑ 2.04ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† 2
1960
+
1961
+ 491
1962
+ 00:40:19,730 --> 00:40:25,550
1963
+ .01 ุฃู†ุง ุนู†ุฏ 2.02 ู‡ู†ุง ุชู‚ุฑูŠุจุง 2.015 ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ู…ุด
1964
+
1965
+ 492
1966
+ 00:40:25,550 --> 00:40:32,950
1967
+ ูƒุจูŠุฑ ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ ุฃู†ุง ุทู„ุนุช ู‡ูŠูƒ 2.01 ุงู„ูุฑู‚ ูˆุงุถุญ
1968
+
1969
+ 493
1970
+ 00:40:32,950 --> 00:40:37,210
1971
+ ู…ุนุงู‡ู… ู…ุด ูƒุจูŠุฑ ุงู„ุฃูˆู„ ุฃูˆ ุงู„ุชุงู†ูŠ ูˆุงุถุญ ุงู† this value
1972
+
1973
+ 494
1974
+ 00:40:37,210 --> 00:40:40,400
1975
+ ู…ูˆุฌูˆุฏุฉ ุจูŠู†ููŠ ุงู„ู€ rejection region ููŠ ุงู„ู€ rejection
1976
+
1977
+ 495
1978
+ 00:40:40,400 --> 00:40:44,480
1979
+ region ุฅุฐุง ุฅูŠุด ุงู„ decisionุŸ Reject ู„ุงู†ู‡ุง ู„ุง
1980
+
1981
+ 496
1982
+ 00:40:44,480 --> 00:40:49,600
1983
+ hypothesis ุฅุฐุง ู†ุญู† ู†ุฑูุน ุงู„ู€ zero at 5% level ุทูŠุจ
1984
+
1985
+ 497
1986
+ 00:40:49,600 --> 00:40:54,980
1987
+ ุฅูŠุด ุงู„ conclusionุŸ there is sufficient evidence of
1988
+
1989
+ 498
1990
+ 00:40:54,980 --> 00:40:59,500
1991
+ difference in means ููŠู‡ุง ุฏู„ุฉ ุฏุงุนู…ุฉ ุฃู†ู‡ ููŠ ูุฑู‚
1992
+
1993
+ 499
1994
+ 00:40:59,500 --> 00:41:06,160
1995
+ ู…ุชูˆุณุทุฉ ุทูŠุจ ุงู„ูุฑู‚ ุงู„ุตุงู„ุญ ู…ูŠู†ุŸ ู„ู„ู†ุงุณ ูˆู„ุง ู„ู„ู†ุงุณ ุฏุงูƒุŸ
1996
+
1997
+ 500
1998
+ 00:41:06,160 --> 00:41:10,960
1999
+ ุงุญู†ุง ุจุฏุฃู†ุง ุจู…ูŠู†ุŸููŠ ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุญู„ู†ุง ุจุฏูŠู†ุง ุจุงู„ุฃูˆู„ู‰
2000
+
2001
+ 501
2002
+ 00:41:10,960 --> 00:41:15,280
2003
+ ู†ู‡ุงูŠุฉ ู†ูŠุณุŒ ู…ุธุจูˆุทุŸ ุทุจ ุงู„ .. ุงู„ T positive ูˆู„ุง
2004
+
2005
+ 502
2006
+ 00:41:15,280 --> 00:41:23,180
2007
+ negativeุŸ positive ู…ุน ูƒุฏู‡ ูŠุงุดูŠ ุงู„ ู†ูŠุณ ุฃูƒุจุฑุŒ ู…ุน ูƒุฏู‡
2008
+
2009
+ 503
2010
+ 00:41:23,180 --> 00:41:27,720
2011
+ ุงู„ yield ุชุจุน ุงู„ stock ุชุจุน ุงู„ ู†ูŠุณ is greater ุฏู‡ ุนู†
2012
+
2013
+ 504
2014
+ 00:41:27,720 --> 00:41:30,920
2015
+ ุงู„ู†ุงุณ ุฏู‡ุŒ ู„ุฃู† ุงู„ T is positiveุŒ ู„ูˆ ูƒุงู†ุช negative
2016
+
2017
+ 505
2018
+ 00:41:30,920 --> 00:41:36,260
2019
+ ูŠูƒูˆู† ุงู„ุนูƒุณููŠ ู‡ุฐู‡ ุงู„ู…ุซู„ุฉุŒ ุงู„ู†ุชูŠุฌุฉ ูƒุงู†ุช ุชุงู„ูŠุฉุŒ ุจู…ุง
2020
+
2021
+ 506
2022
+ 00:41:36,260 --> 00:41:39,080
2023
+ ุฃู† ู‚ูŠู…ุฉ ุงู„ุงู†ุชุฌุงุฑุงุช ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉุŒ
2024
+
2025
+ 507
2026
+ 00:41:39,080 --> 00:41:41,280
2027
+ ุซู… ู†ู†ูุฐ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2028
+
2029
+ 508
2030
+ 00:41:41,280 --> 00:41:43,160
2031
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ูŠูˆุฌุฏ ูˆุซู‚ุงูุฉ
2032
+
2033
+ 509
2034
+ 00:41:43,160 --> 00:41:46,640
2035
+ ูƒุงููŠุฉ ููŠ ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2036
+
2037
+ 510
2038
+ 00:41:46,640 --> 00:41:46,680
2039
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2040
+
2041
+ 511
2042
+ 00:41:46,680 --> 00:41:47,380
2043
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2044
+
2045
+ 512
2046
+ 00:41:47,380 --> 00:41:53,900
2047
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2048
+
2049
+ 513
2050
+ 00:41:53,900 --> 00:41:57,700
2051
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
2052
+
2053
+ 514
2054
+ 00:41:57,700 --> 00:42:00,900
2055
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑ
2056
+
2057
+ 515
2058
+ 00:42:01,970 --> 00:42:06,750
2059
+ ูˆ ุจุนุฏู‡ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ decision ุงู† ู‡ูˆ reject ูˆ ุงู„
2060
+
2061
+ 516
2062
+ 00:42:06,750 --> 00:42:12,190
2063
+ conclusion ุงู†ู‡ ููŠู‡ ูุฑู‚ ุงูˆ ู…ุงููŠุดุŒ ููŠ ุงูŠ ุณุคุงู„ุŸ ู„ุฃ ู„ุฃ
2064
+
2065
+ 517
2066
+ 00:42:12,190 --> 00:42:14,970
2067
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2068
+
2069
+ 518
2070
+ 00:42:14,970 --> 00:42:15,070
2071
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2072
+
2073
+ 519
2074
+ 00:42:15,070 --> 00:42:16,190
2075
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2076
+
2077
+ 520
2078
+ 00:42:16,190 --> 00:42:17,250
2079
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2080
+
2081
+ 521
2082
+ 00:42:17,250 --> 00:42:17,250
2083
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2084
+
2085
+ 522
2086
+ 00:42:17,250 --> 00:42:25,050
2087
+ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
2088
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/VL7Uof7K6oY_postprocess.srt ADDED
@@ -0,0 +1,1832 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:25,290
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ูƒู…ู„
4
+
5
+ 2
6
+ 00:00:25,290 --> 00:00:30,470
7
+ chapter seven before that I will just mention that
8
+
9
+ 3
10
+ 00:00:30,470 --> 00:00:34,710
11
+ on Saturday we will have the first quiz on chapter
12
+
13
+ 4
14
+ 00:00:34,710 --> 00:00:39,110
15
+ seven ุงุฐุง ุงู„ูŠูˆู… ุงู„ุณุจุช ู‡ู†ุงุฎุฏ ุงู„ quiz ุฑู‚ู… ูˆุงุญุฏ ููŠ
16
+
17
+ 5
18
+ 00:00:39,110 --> 00:00:43,670
19
+ chapter ุณุจุนุฉ ุจุนุฏ ู‡ูŠูƒ ู‡ูƒูˆู† ุนู†ุฏู†ุง quiz ูƒู„ ู†ู‡ุงูŠุฉ
20
+
21
+ 6
22
+ 00:00:43,670 --> 00:00:48,520
23
+ ุงู„ุณุจูˆุนูŠุนู†ูŠ ู…ุด ุงู„ุฃุฑุจุน ุงู„ู‚ุงุฏู… ุงู„ู„ูŠ ุจุนุฏู‡ ู‡ูƒูˆู† ุนู†ุฏูƒ
24
+
25
+ 7
26
+ 00:00:48,520 --> 00:00:55,300
27
+ quiz ูƒู„ ุฃุณุจูˆุน ุฎู„ุงุต ูƒู„ .. ูƒู„ ุฃุณุจูˆุน ู…ุด ูƒู„ chapter
28
+
29
+ 8
30
+ 00:00:55,300 --> 00:00:59,620
31
+ ุงู„ู…ุฑุงุฏุฉ ุฃู†ู‡ุง ุดู‡ุฑ ุชู„ ุณุงุจุนุฉ ู„ูƒู† ุงู„ู„ู‚ุงุกุงุช ุงู„ุฌุงูŠุฉ
32
+
33
+ 9
34
+ 00:00:59,620 --> 00:01:05,000
35
+ ู‡ูŠูƒูˆู† ูŠูˆู… ุงู„ุฃุฑุจุนุฉ ูƒู„ ุฃุณุจูˆุน ููŠ quiz ุงู„ quiz ู‡ูŠูƒูˆู†
36
+
37
+ 10
38
+ 00:01:05,000 --> 00:01:09,220
39
+ ููŠ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุจูŠุบุทูŠู‡ุง ุจุนุฏ ุงู„ quiz ุงู„ุณุงุจู‚ ูŠุนู†ูŠ ุงู„
40
+
41
+ 11
42
+ 00:01:09,220 --> 00:01:12,240
43
+ quiz ูˆุงุญุฏ ู‡ูŠูƒูˆู† ููŠ chapter ุณุจุนุฉ ุงู„ quiz ู„ู„ุฃุฑุจุนุฉ
44
+
45
+ 12
46
+ 00:01:12,240 --> 00:01:18,980
47
+ ุจุนุฏ ุงู„ู‚ุงุฏู… ู‡ูŠูƒูˆู†ูˆ ู‡ูŠ ู†ุฎู„ุตู†ุง ููŠ ุชุณุนุฉ ูˆุงุถุญุŸ ูˆ ุงู„ูƒู„ุงู…
48
+
49
+ 13
50
+ 00:01:18,980 --> 00:01:21,860
51
+ ุฏู‡ ู‡ูŠูƒูˆู† ูƒู„ ุฃุณุจูˆุน ู…ุนุงุฏู„ ุงู„ุณุจูˆุน ุงู„ู‚ุงุฏู… ู…ุงูŠูƒูˆู†ุด ููŠู‡
52
+
53
+ 14
54
+ 00:01:21,860 --> 00:01:26,260
55
+ ุฃุฑุจุนุฉุŒ ู‡ูŠูƒูˆู†ู‡ู… ุงู„ุณุจุช ู„ูƒู† ุชุฏุงู…ู† ุจุนุฏ ุงู„ุณุจูˆุน ุงู„ู‚ุงุฏู…
56
+
57
+ 15
58
+ 00:01:26,260 --> 00:01:29,920
59
+ ู‡ูŠูƒูˆู† ูƒู„ ุฃุณุจูˆุน ููŠ Andy QuizุŒ ู…ู† ุบูŠุฑ ู…ุญูƒู…ุฉ ูŠุนู†ูŠ ู‡ูˆ
60
+
61
+ 16
62
+ 00:01:29,920 --> 00:01:33,120
63
+ ูŠูƒูˆู† ุงู„ุณุจุช ูˆ ุฃุฑุจุนุฉุŸ ุฃูŠ ุฎู„ .. ู„ุฃ ู…ุด ุณุจุช ูˆ ุฃุฑุจุนุฉุŒ
64
+
65
+ 17
66
+ 00:01:33,120 --> 00:01:36,340
67
+ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ุฌุงู‰ ุณุจุช ุจุณุŒ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ุฌุงู‰ ุจุณ ุงู„ุณุจุช
68
+
69
+ 18
70
+ 00:01:36,340 --> 00:01:39,100
71
+ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ูˆุฑุง ุงู„ุฃุฑุจุนุฉ ุงู„ุณุจูˆุน ุงู„ู„ูŠ ูˆุฑุง ุงู„ุฃุฑุจุนุฉ
72
+
73
+ 19
74
+ 00:01:39,100 --> 00:01:43,140
75
+ ู…ููŠุด ุงู„ุณุจูˆุน ุงู„ู„ูŠ ุฌุงู‰ .. ุงู„ู„ูŠ ูŠูˆู… ุงู„ุฃุฑุจุนุฉ ุงู„ู„ูŠ ุฌุงู‰
76
+
77
+ 20
78
+ 00:01:43,140 --> 00:01:52,000
79
+ ู…ููŠุดุงู„ุจุนุฏุฉ ููŠู‡ ูˆู…ู† ุฎู„ุต ุจุนุฏ ุณุจุนุฉ ูŠุนู†ูŠ ูƒู„ ู…ุงุฏุฉ ุฌุฏูŠุฏุฉ
80
+
81
+ 21
82
+ 00:01:52,000 --> 00:02:00,580
83
+ ุจู†ุฎู„ุตู‡ุง ุงู„ูƒู„ุงู… ุงู„ุฃู† ูˆุงุถุญ ุทุจุนุง ุงู„ุบุงูŠุจ ุจุชุจู„ุบูˆู‡ ุดุจุชุฑ
84
+
85
+ 22
86
+ 00:02:00,580 --> 00:02:04,680
87
+ ุณุจุนุฉ ุดุจุชุฑ ุณุจุนุฉ ุฎู„ุงุต is an requisite subject ุฏุงุฎู„
88
+
89
+ 23
90
+ 00:02:04,680 --> 00:02:10,180
91
+ ููŠู‡ ุดุจุชุฑ ุณุจุนุฉุงู„ุณุจูˆุน ุงู„ู‚ุงุฏู… ุงู„ quiz ูˆุงุญุฏ ุจุณ ูˆ ู…ู†
92
+
93
+ 24
94
+ 00:02:10,180 --> 00:02:13,300
95
+ ุงู„ู„ูŠ ุจุนุฏู‡ ูƒู„ ุณุจูˆุน ููŠู‡ quiz ุงู„ู„ูŠ ู‡ูˆ ุจูŠูƒูˆู† ูŠูˆู…
96
+
97
+ 25
98
+ 00:02:13,300 --> 00:02:16,460
99
+ ุงู„ุฃุฑุจุนุฉ ุนู„ู‰ ุทูˆู„ ููŠ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุจู†ุบุทูŠู‡ุง ุจุนุฏ ุงู„ quiz
100
+
101
+ 26
102
+ 00:02:16,460 --> 00:02:21,380
103
+ ูˆุงุถุญ ู‡ูŠูƒุŸ ุทุจุนุง ุงู„ุณุจุจ ุงู„ู„ูŠ ุฃู†ุง ู„ุงุญุธุชู‡ ุงู„ู…ุณุชูˆู‰ ุถุนูŠู
104
+
105
+ 27
106
+ 00:02:21,380 --> 00:02:26,580
107
+ ูˆ ุฃู†ุง ุจุดุฑุญ ูŠุนู†ูŠ ูˆุงุถุญ ุงู„ูˆุถุน ู…ุด ูƒุชูŠุฑ ุฌูŠุฏ ุณูˆุงุก ุนู†ุฏูƒู…
108
+
109
+ 28
110
+ 00:02:26,580 --> 00:02:29,880
111
+ ุฃูˆ ุนู†ุฏ ุงู„ุทู„ุงุจ ูุจุงู„ุชุงู„ูŠ ุฃุญุณู† ุงู„ู…ุณุชูˆู‰ ู„ุงุฒู… ุงู„ุญู„
112
+
113
+ 29
114
+ 00:02:29,880 --> 00:02:34,320
115
+ ุงู„ูˆุญูŠุฏ ุฃุนุทูŠ quizzes ููŠ ูƒู„ ุณุจูˆุน quiz ูˆ ููŠ ู†ู‡ุงูŠุฉ ูƒู„
116
+
117
+ 30
118
+ 00:02:34,320 --> 00:02:39,030
119
+ chapter ููŠ assignmentูˆ ุจุนุฏ ุฃู†ู†ุง ุงู…ุชุญุงู†ูŠู† ูŠุนู†ูŠ ู…ูˆ
120
+
121
+ 31
122
+ 00:02:39,030 --> 00:02:41,770
123
+ ุฑุงุญ ุชูƒูˆู† ุงู† ุดุงุก ุงู„ู„ู‡ ุฃุญุณู† ู„ูƒู† ุฃุณูŠุจูƒู… ุนู„ู‰ ุญุงู„ูƒู… ุฒูŠ
124
+
125
+ 32
126
+ 00:02:41,770 --> 00:02:46,570
127
+ ู‡ูŠูƒ ู„ุฃ ุฃู†ุง ุจุฏุฃ ุฃุฎูู ู…ู† ุนุฏุฏ ุงู„ุณุงุนุงุช ุงู„ู„ูŠ ุจุชู‚ุถูŠู‡ุง
128
+
129
+ 33
130
+ 00:02:46,570 --> 00:02:52,950
131
+ ุนู„ู‰ ุงู„ููŠุณุจูˆูƒ ุนู„ู‰ ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู† ุทุจุนุง ุนู„ู‰
132
+
133
+ 34
134
+ 00:02:52,950 --> 00:02:56,830
135
+ ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู† ุฎู„ุงุตุŸ
136
+
137
+ 35
138
+ 00:02:56,830 --> 00:03:03,230
139
+ ููŠ ุฃูŠ ุชุนู„ูŠู‚ุŸ ุฃูŠ ุญุฏ ุนู†ุฏู‡ ู…ู„ุงุญุธุฉ ุฃูˆ ุงุนุชุฑุงุถุŸ ูŠุนู†ูŠ
140
+
141
+ 36
142
+ 00:03:03,230 --> 00:03:04,170
143
+ ู…ุชูู‚ูŠู†ุŸ
144
+
145
+ 37
146
+ 00:03:07,180 --> 00:03:13,080
147
+ ู†ุนู… ู‡ุฎู„ูŠ ุจุงู„ูƒ ุงู„ู„ูŠ ุงู„ quizุงุช ุนู„ูŠู‡ุง 10% ู‡ุงุฎุฏ ุงู„ุนุดุฑุฉ
148
+
149
+ 38
150
+ 00:03:13,080 --> 00:03:15,940
151
+ ู…ู† ุงู„ู†ู‡ุงุฆูŠ ู…ู† ุงู„ final exam ูŠุนู†ูŠ ุงู„ final ู„ูˆ ุนู„ูŠู‡ุง
152
+
153
+ 39
154
+ 00:03:15,940 --> 00:03:23,320
155
+ ุฎู…ุณูŠู† ู‡ุฎู„ูŠ ุงู„ final ุนู„ูŠู‡ุง ุฑุจุนูŠู† ุจุณ ูˆุงุถุญุŸ ุทุจุนุง
156
+
157
+ 40
158
+ 00:03:23,320 --> 00:03:26,860
159
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุจุญูƒูŠู‡ ู…ุด ุงุฎุชูŠุงุฑูŠ ูŠุนู†ูŠ ุฅุฌุจุงุฑูŠ ุทุจุนุง ุฃู†ุง
160
+
161
+ 41
162
+ 00:03:26,860 --> 00:03:34,020
163
+ ุจุงุฎุฏุด ุฑุฃูŠูƒ ููŠ ู…ูˆุถูˆุน ุงู„ quiz ูˆู„ุง ู„ุฃุŸ ู‡ู†ูƒู…ู„
164
+
165
+ 42
166
+ 00:03:34,020 --> 00:03:38,000
167
+ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ู‡ุชูƒู„ู… ุนู„ู‰ ุงู„ู€ sampling
168
+
169
+ 43
170
+ 00:03:38,000 --> 00:03:44,560
171
+ distribution
172
+
173
+ 44
174
+ 00:03:44,560 --> 00:04:01,360
175
+ of the sampling of the sample proportion ุจูŠู‡
176
+
177
+ 45
178
+ 00:04:01,360 --> 00:04:06,940
179
+ ู‡ู†ุง ู†ุญู† ู„ุฏูŠู†ุง ู†ูุณ ู…ุง ูุนู„ู†ุงู‡ ุจุงู„ุถุจุท ู„๏ฟฝ๏ฟฝุงู„ุณุงู…ุจู„ ูŠุนู†ูŠ
180
+
181
+ 46
182
+ 00:04:06,940 --> 00:04:14,080
183
+ ุฃู†ู†ุง ุณู†ุญุตู„ ุนู„ู‰ ุฃุฏุงุก ุฌุฏูŠุฏ ูŠุณู…ู‰ ุจุงูŠ ูˆู‡ูˆ ุชุณู…ู‰ ุจุงูŠ
184
+
185
+ 47
186
+ 00:04:14,080 --> 00:04:18,640
187
+ ุชุนุฑู ุงู„ ุจุงูŠ ุจุงูŠ ู‡ูˆ ู…ุฌุฑุฏ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
188
+
189
+ 48
190
+ 00:04:18,640 --> 00:04:20,280
191
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
192
+
193
+ 49
194
+ 00:04:20,280 --> 00:04:23,920
195
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
196
+
197
+ 50
198
+ 00:04:23,920 --> 00:04:24,040
199
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
200
+
201
+ 51
202
+ 00:04:24,040 --> 00:04:24,100
203
+ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„ ุนุงู…ู„
204
+
205
+ 52
206
+ 00:04:27,380 --> 00:04:32,900
207
+ ุจุนุฏ ุชู‚ุฑูŠุฑ ุงู„ู…ุฌุชู…ุน ู„ุฏูŠู‡ ุจุนุถ ุงู„ุชูุงุตูŠู„ ู…ุซู„ุง ูƒู…ุง ุฐูƒุฑู†ุง
208
+
209
+ 53
210
+ 00:04:32,900 --> 00:04:38,420
211
+ ููŠ ุงู„ุณุงุจู‚ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† number of students who pass
212
+
213
+ 54
214
+ 00:04:38,420 --> 00:04:43,560
215
+ the course or pass the statistics course ุฃูˆ number
216
+
217
+ 55
218
+ 00:04:43,560 --> 00:04:49,500
219
+ of sale persons in a company ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุชู‚ุฑูŠุฑ
220
+
221
+ 56
222
+ 00:04:49,500 --> 00:04:57,070
223
+ ุนุงุฆู„ุฉูŠุนุทูŠ ุงุฎุชูŠุงุฑ ุจูŠ ููŠ ุงู„ูˆุงู‚ุน ููŠ ุงู„ุญู‚ูŠู‚ุฉ ู‡ุฐุง ุจูŠ
224
+
225
+ 57
226
+ 00:04:57,070 --> 00:05:01,930
227
+ ุบูŠุฑ ู…ุนุฑูˆู ูŠุนู†ูŠ
228
+
229
+ 58
230
+ 00:05:01,930 --> 00:05:06,270
231
+ ููŠ ุญุงู„ุงุช ุญู‚ูŠู‚ูŠุฉ ููŠ ู…ุนู†ู‰ ูุนุงู„ ู‡ุฐุง ุจูŠ ุบูŠุฑ ู…ุนุฑูˆู ู„ูŠุณ
232
+
233
+ 59
234
+ 00:05:06,270 --> 00:05:11,850
235
+ ู…ู…ู†ุญ ู„ู†ุง ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุฎุชู… ู‡ุฐุง ุจูŠ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฎุชู…ู‡ ุจูŠ
236
+
237
+ 60
238
+ 00:05:11,850 --> 00:05:18,210
239
+ ุจุงุณุชุฎุฏุงู… ู…ุฌู…ูˆุนุฉ ุจูŠ ุงู„ู…ุฌู…ูˆุนุฉ ุจูŠ ู‡ุฐุง ุจูŠ ูŠุณู…ู‰ ู…ุฌู…ูˆุนุฉ
240
+
241
+ 61
242
+ 00:05:18,210 --> 00:05:19,230
243
+ ุฃูˆ ู…ุฌู…ูˆุนุฉ
244
+
245
+ 62
246
+ 00:05:24,060 --> 00:05:29,480
247
+ ุงู„ู†ุณุจุฉ ู‡ูŠ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
248
+
249
+ 63
250
+ 00:05:29,480 --> 00:05:29,540
251
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
252
+
253
+ 64
254
+ 00:05:29,540 --> 00:05:31,240
255
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
256
+
257
+ 65
258
+ 00:05:31,240 --> 00:05:33,220
259
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
260
+
261
+ 66
262
+ 00:05:33,220 --> 00:05:35,320
263
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
264
+
265
+ 67
266
+ 00:05:35,320 --> 00:05:35,520
267
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ
268
+
269
+ 68
270
+ 00:05:35,520 --> 00:05:37,460
271
+ ู„ู„ุนูŠู†ุงุช ุงูˆ ู†ุณุจุฉ ู„ู„ุนูŠู†ุงุช ุง
272
+
273
+ 69
274
+ 00:05:40,300 --> 00:05:44,480
275
+ ุงู„ู†ุณุจุฉ ู„ู„ุทู„ุงุจ ุงู„ู„ูŠ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ
276
+
277
+ 70
278
+ 00:05:44,480 --> 00:05:49,100
279
+ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ
280
+
281
+ 71
282
+ 00:05:49,100 --> 00:05:53,640
283
+ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ
284
+
285
+ 72
286
+ 00:05:53,640 --> 00:05:57,860
287
+ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ ู‚ู…ุช ุจู…ุฌุงุฑุฉ
288
+
289
+ 73
290
+ 00:05:57,860 --> 00:05:58,900
291
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ
292
+
293
+ 74
294
+ 00:05:58,900 --> 00:05:58,940
295
+ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„
296
+
297
+ 75
298
+ 00:05:58,940 --> 00:05:59,280
299
+ ุงู„ู…ุซุงู„ ุงุฐุง ูƒุงู† 30 ุทู„ุงุจ ู‚ู…ุช ุจู…ุฌุงุฑุฉ ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ
300
+
301
+ 76
302
+ 00:05:59,280 --> 00:05:59,980
303
+ ุงู„ุงู‚ุชุตุงุฏูŠ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู‚ุชุตุงุฏ
304
+
305
+ 77
306
+ 00:05:59,980 --> 00:06:03,490
307
+ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุงุฏ ุงู„ุงู‚ุชุตุจุงู„ุนุงุฏุฉ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุงูˆ
308
+
309
+ 78
310
+ 00:06:03,490 --> 00:06:08,770
311
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† 0 ูˆ 1 ุฏุนู†ุง ู†ุณู…ูŠู‡ุง ู…ู‚ุงุฑู†ุฉ ู…ู‚ุงุฑู†ุฉ
312
+
313
+ 79
314
+ 00:06:08,770 --> 00:06:13,030
315
+ ุนู„ู‰ ู†ุณุจุฉ ุฒูŠ ุงู„ุจุฑุณู†ุชุฌ ููŠ ุงู„ุณุชุงุชูŠุณุชูƒ ุจู†ุณู…ูŠู‡ุง ู…ู‚ุงุฑู†ุฉ
316
+
317
+ 80
318
+ 00:06:13,030 --> 00:06:20,970
319
+ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงุฏุฉ ุจูŠู† 0 ูˆ 1 ู„ุฐู„ูƒ ู‡ูŠ ู‚ูŠู…ุฉ ุบูŠุฑ ู†ุงุฌุญุฉ
320
+
321
+ 81
322
+ 00:06:20,970 --> 00:06:28,110
323
+ ุจูŠู† 0 ูˆ 1 ุงู„ุขู† ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ู‚ุงุฑู†ุฉ Z ู„ูƒู† ุนู„ูŠู†ุง
324
+
325
+ 82
326
+ 00:06:30,110 --> 00:06:33,850
327
+ ุชุฃูƒุฏ ุฃู† ุจุนุถ ุงู„ูˆุงุถุญุงุช ู…ูู‡ูˆู…ุฉ ูƒู…ุง ุฐูƒุฑู†ุง ู‚ุจู„ ุฃู†ู†ุง
328
+
329
+ 83
330
+ 00:06:33,850 --> 00:06:35,990
331
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€ Central Limit Theorem ุฅุฐุง ูƒุงู†
332
+
333
+ 84
334
+ 00:06:35,990 --> 00:06:39,590
335
+ ุงู„ู€ N ูƒุจูŠุฑ ุจู…ุง ูŠูƒููŠ ูˆู†ุญู† ู†ุชุฃูƒุฏ ู…ู† ูƒู… ูƒุจูŠุฑ ูƒูุงูŠุฉ
336
+
337
+ 85
338
+ 00:06:39,590 --> 00:06:42,670
339
+ ูƒูุงูŠุฉ ูƒูุงูŠุฉ ุฅุฐุง ูƒุงู† ุงู„ู€ N ุฃูƒุจุฑ ู…ู† 30 ูˆู‡ูˆ ู…ุง ูƒุงู†
340
+
341
+ 86
342
+ 00:06:42,670 --> 00:06:46,030
343
+ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Sample Means ุงู„ุฎุฏุงุฉ ุงู„ุฃูˆู„ุฉ ุนู„ู‰ ุงู„ู€
344
+
345
+ 87
346
+ 00:06:46,030 --> 00:06:49,550
347
+ Sample Mean ูƒุงู†ุช N ูƒุจูŠุฑุฉ ุชูƒูˆู† N ุฃูƒุจุฑ ู…ู† 30 ู„ู€ for
348
+
349
+ 88
350
+ 00:06:49,550 --> 00:06:53,030
351
+ most distributions ูƒู…ุง ุฐูƒุฑู†ุง ุฃูŠุถู‹ุง ู„ู€ Fair
352
+
353
+ 89
354
+ 00:06:53,030 --> 00:06:57,640
355
+ Distribution ูŠุฌุจ ุฃู† ูŠูƒ๏ฟฝ๏ฟฝู† ุนู„ู‰ ุงู„ุฃู‚ู„ 15ุงู„ุงู† ู„ู„ู…ู‚ุงุฑู†ุฉ
356
+
357
+ 90
358
+ 00:06:57,640 --> 00:07:04,000
359
+ ู„ุฏูŠู†ุง ุญุงู„ุฉ ู…ุฎุชู„ูุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู… ุจุชู‚ุฑูŠุฑ ู‡ุฐู‡
360
+
361
+ 91
362
+ 00:07:04,000 --> 00:07:08,760
363
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุฅู„ู‰ ู…ู‚ุงุฑู†ุฉ ุนุงุฏูŠุฉ ุฅุฐุง ูƒุงู†ุช ู„ุฏูŠู†ุง ุงุซู†ูŠู†
364
+
365
+ 92
366
+ 00:07:08,760 --> 00:07:15,380
367
+ ุญุงู„ุงุช ุฑู‚ู… ูˆุงุญุฏ ู† ู…ุฑุฉ ุจูŠ ู‡ูˆ ุนู„ู‰ ุงู„ุฃู‚ู„ ุฎู…ุณ ู† ู…ุฑุฉ ุจูŠ
368
+
369
+ 93
370
+ 00:07:15,380 --> 00:07:20,000
371
+ ู‡ูˆ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจูŠ ู‡ูˆ ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
372
+
373
+ 94
374
+ 00:07:26,860 --> 00:07:30,200
375
+ ุฅุฐุง ุฏูˆู„ ุงู„ conditions ุงู„ู„ูŠ ุนู†ุฏูƒ ุจุฏู„ ู…ุง ู†ุญูƒูŠ n ุฃูƒุจุฑ
376
+
377
+ 95
378
+ 00:07:30,200 --> 00:07:34,840
379
+ ู…ู† ุชู„ุงุชูŠู† ุฃูˆ ุฎู…ุณุชุงุด ู†ุญูƒูŠ n times b ุชูƒูˆู† ุฃูƒุจุฑ ู…ู†
380
+
381
+ 96
382
+ 00:07:34,840 --> 00:07:38,760
383
+ ุณูˆู‰ ุฎู…ุณุชุงุด n times one minus pi is at least five
384
+
385
+ 97
386
+ 00:07:38,760 --> 00:07:47,100
387
+ in addition ุงู„ mean ู„ู„ b equal by the mean of the
388
+
389
+ 98
390
+ 00:07:47,100 --> 00:07:51,590
391
+ similar proportion equal by and sigma of bู…ุฆุฉ
392
+
393
+ 99
394
+ 00:07:51,590 --> 00:07:54,630
395
+ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
396
+
397
+ 100
398
+ 00:07:54,630 --> 00:07:54,970
399
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
400
+
401
+ 101
402
+ 00:07:54,970 --> 00:07:58,490
403
+ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
404
+
405
+ 102
406
+ 00:07:58,490 --> 00:07:59,970
407
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
408
+
409
+ 103
410
+ 00:07:59,970 --> 00:08:01,770
411
+ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ
412
+
413
+ 104
414
+ 00:08:01,770 --> 00:08:01,850
415
+ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ
416
+
417
+ 105
418
+ 00:08:01,850 --> 00:08:02,290
419
+ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ
420
+
421
+ 106
422
+ 00:08:02,290 --> 00:08:14,870
423
+ ูˆุงุญุฏ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏ ู…ู‚ุงุฑู†ุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏ ู…ู‚ุงุฑ
424
+
425
+ 107
426
+ 00:08:15,230 --> 00:08:19,350
427
+ Sigma over square root of N ูˆSigma of X bar is the
428
+
429
+ 108
430
+ 00:08:19,350 --> 00:08:30,130
431
+ standard error of the sample mean ู†ูุณ
432
+
433
+ 109
434
+ 00:08:30,130 --> 00:08:35,290
435
+ ุงู„ุฌุซุฉ Sigma of B is the standard error of mean of
436
+
437
+ 110
438
+ 00:08:35,290 --> 00:08:40,310
439
+ B of the sample proportion Now how can we
440
+
441
+ 111
442
+ 00:08:40,310 --> 00:08:45,280
443
+ transform to this scoreุจุงู„ุนุงู…ุฉ ุงู„ู€ z-score ูƒู…ุง
444
+
445
+ 112
446
+ 00:08:45,280 --> 00:08:52,040
447
+ ุฐูƒุฑุช ููŠ ุงู„ุญู„ู‚ุฉ 3 ูˆ6 ูƒุงู†ุช z-score x minus its mean
448
+
449
+ 113
450
+ 00:08:52,040 --> 00:09:00,420
451
+ over its standard deviation ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู‚ูŠู…ุฉ x minus
452
+
453
+ 114
454
+ 00:09:00,420 --> 00:09:04,860
455
+ its meanivided by sigma of xุŒ ู…ุด ู‡ูŠูƒุŸ ู‡ุฐุง ุงู„ z
456
+
457
+ 115
458
+ 00:09:04,860 --> 00:09:08,120
459
+ -score ุฃุฎุฏุชู‡ ููŠ ุงู„ุญู„ู‚ุฉ 3 ูŠู…ูƒู†ูƒ ุชุทุจูŠู‚ ู‡ุฐุง ุงู„ z
460
+
461
+ 116
462
+ 00:09:08,120 --> 00:09:16,950
463
+ -scoreู„ู€ B ูู†ุญู† ูู‚ุท ู†ุชุบูŠู‘ุฑ ู‡ุฐุง ุฅู„ู‰ B ูู‚ุท ุชุบูŠู‘ุฑ X
464
+
465
+ 117
466
+ 00:09:16,950 --> 00:09:20,090
467
+ ุจูŠ
468
+
469
+ 118
470
+ 00:09:20,090 --> 00:09:25,830
471
+ ุจูŠ ูู‡ูˆ B ู…ุงู†ูˆุณ ู…ูŠู† ุจูŠ ุนุดุงู† ุณูŠุฌู…ู‡ ุจูŠ ู‡ุฐุง ู‡ูˆ ู†ุชูŠุฌุฉ
472
+
473
+ 119
474
+ 00:09:25,830 --> 00:09:30,910
475
+ ุงู„ู€ New Z ูู‡ูˆ ุจุงู„ุถุจุท ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู„ุฏูŠู†ุง ููŠ
476
+
477
+ 120
478
+ 00:09:30,910 --> 00:09:39,170
479
+ ุงู„ุญู„ู‚ุฉ 6 ุฃูˆ 3 ูู‚ุท ุชุบูŠู‘ุฑ ู‡ุฐุง X ุจูŠ ุจูŠ ูˆุงุถุญุŸุงู„ู…ูˆุถูˆุน
480
+
481
+ 121
482
+ 00:09:39,170 --> 00:09:44,210
483
+ ุงู„ูŠูˆู… ุจุชุชูƒู„ู… ุนู† Distribution of B ูุจุงู„ุชุงู„ูŠ ูƒู„ู‡
484
+
485
+ 122
486
+ 00:09:44,210 --> 00:09:48,930
487
+ ู‡ุชุนู…ู„ ุงูŠู‡ุŸ ู‡ุชุฎูŠู„ X ูˆ ุชุญุท ุจูŠู‡ ุตุงุฑุช ุงู„ B minus ุงู„
488
+
489
+ 123
490
+ 00:09:48,930 --> 00:09:54,150
491
+ mean ู„ู„ ุจูŠ ุนู„ู‰ sigma ู„ู„ ุจูŠ ุงู„ mean ู„ู„ ุจูŠ ู‡ูŠ ุจูŠ ุฅุฐุง
492
+
493
+ 124
494
+ 00:09:54,150 --> 00:10:02,130
495
+ ุฃู†ุง ุฏู‡ ู‡ุชุณุงูˆูŠ ุจูŠ minus ุจูŠ over sigma ุจูŠ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
496
+
497
+ 125
498
+ 00:10:02,130 --> 00:10:08,420
499
+ ุงู„ู„ูŠ ู‡ูŠ ุจูŠ one minus ุจูŠ over Nุฃู†ุง ุนุงุฏุฉ ููŠ ุงู„ุงู…ุชุญุงู†
500
+
501
+ 126
502
+ 00:10:08,420 --> 00:10:12,120
503
+ ุจุงุนุทูŠูƒ ุงู„ุงุชู†ูŠู† ู‡ุฐูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ mean ู„ู„ ุจูŠู‡ ุจูŠุณุงูˆูŠ
504
+
505
+ 127
506
+ 00:10:12,120 --> 00:10:15,180
507
+ ุจุงูŠ ูˆ ุงู„ sigma ู„ู„ ุจูŠู‡ ุจูŠุณุงูˆูŠ square root of pi 1
508
+
509
+ 128
510
+ 00:10:15,180 --> 00:10:20,440
511
+ minus pi over n this will be given as in the
512
+
513
+ 129
514
+ 00:10:20,440 --> 00:10:24,080
515
+ formula sheet in the final exam ุฎู„ุงุตุŸ ุฅุฐุง ุงู„ู‚ูˆุงู†ูŠู†
516
+
517
+ 130
518
+ 00:10:24,080 --> 00:10:28,740
519
+ ู‡ุฐู‡ ุจุงุนุทูŠูƒ ุฅูŠุงู‡ุง ู„ูƒู† ูƒูŠู ุชุญูˆู„ูŠ ู„ู„ z ุดุบู„ูƒ ุงู†ุชุŸ
520
+
521
+ 131
522
+ 00:10:28,740 --> 00:10:33,540
523
+ ุฎู„ุงุตุŸ ู„ุฃู† ุงู„ z ู‡ูŠ ุงู„ standard form ู‡ูŠุง ุฃู†ุชู… ู…ุนุงูŠุง
524
+
525
+ 132
526
+ 00:10:33,540 --> 00:10:39,190
527
+ ูˆู„ุง ูƒุฐุงุŸุจุงู„ุนุฑุจูŠ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ z-score ู‡ูŠู‡ ุจุงุถุญุŸ
528
+
529
+ 133
530
+ 00:10:39,190 --> 00:10:43,450
531
+ ุจุชุญูˆู„ูŠ ุงู„ z-score ุญุณุจ ุงู„ู…ุณุฃู„ุฉ ุฅุฐุง ุจุชูƒู„ู… ุนู„ู‰
532
+
533
+ 134
534
+ 00:10:43,450 --> 00:10:47,510
535
+ proportion ุฃู†ุง ุจุนุทูŠูƒ ุงู„ู‚ุงู†ูˆู†ูŠู† ุงู„ุฃุซู†ูŠู† ู‡ุฏูˆู„ ุฅูŠุด
536
+
537
+ 135
538
+ 00:10:47,510 --> 00:10:53,250
539
+ ู‡ุชุนู…ู„ูŠ ุจุณู„ุงู…ุชูƒุŸ ู‡ุชุดูŠู„ูŠ x ูˆ ุชุญุท ุจูŠู‡ ูˆ ุจุณ ูˆู‡ูŠ
540
+
541
+ 136
542
+ 00:10:53,250 --> 00:10:55,450
543
+ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ูˆ๏ฟฝ๏ฟฝูˆุฏุฉ ุจุงุถุญุŸ
544
+
545
+ 137
546
+ 00:10:57,860 --> 00:11:00,980
547
+ ู†ุงุฎุฏ exampleุŒ ู„ุฐุง ู‡ูŠ ุงู„ู€ z equal b minus y ุนู„ู‰
548
+
549
+ 138
550
+ 00:11:00,980 --> 00:11:04,280
551
+ sigma ู„ู„ู€ b ูˆู‡ูŠ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ ู…ุน ุจุนุถ ุฎู„ู‘ูŠ
552
+
553
+ 139
554
+ 00:11:04,280 --> 00:11:07,880
555
+ ุจุงู„ูƒ ููŠ ุงู„ุงู…ุชุญุงู† ุฃู†ุง ู…ุงุจุนุทูŠูƒูŠุด ุงู„ z ู‡ุงุฏุฆ ุฃู†ุช
556
+
557
+ 140
558
+ 00:11:07,880 --> 00:11:11,600
559
+ ุจุชุทู„ุนูŠู‡ ู„ุญุงู„ูƒุŒ ู„ูƒู† ุจูŠุนุทูŠูƒ ุงู„ z ุงู„ุนุงุฏู‰ุŒ ุงู„ x ู†ู‚ุต ุงู„
560
+
561
+ 141
562
+ 00:11:11,600 --> 00:11:16,600
563
+ main ุชุจุนู‡ุง ุนู„ู‰ ุงู„ sigmaุŒ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุงู„ู„ูŠ ุฃู†ุง
564
+
565
+ 142
566
+ 00:11:16,600 --> 00:11:23,440
567
+ ุดุงูŠูู‡ ุงู„ูˆุฌูˆู‡ ุบูŠุฑ ู…ุจุดุฑุฉุŒ ูˆุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠู‡ ูƒู„ู‡ ู…ูƒุฑุฑุŒ
568
+
569
+ 143
570
+ 00:11:23,440 --> 00:11:25,760
571
+ ุงู„ู„ูŠ ุญูƒูŠุชู‡ ููŠ ุชู„ุงุชุฉ ูƒุฑุฑู†ุงู‡ุง ููŠ ุณุชุฉ ูƒุฑุฑู†ุงู‡ุง ููŠ ุณุจุนุฉ
572
+
573
+ 144
574
+ 00:11:26,960 --> 00:11:32,200
575
+ ู‡ูˆ ู‚ุงู†ูˆู† ูˆุงุญุฏ ุจุณ ู‡ู‰ ุชุฐูƒุฑ ููŠ chapter 7 ุจุฑุถู‡ ุญูƒูŠู†ุง
576
+
577
+ 145
578
+ 00:11:32,200 --> 00:11:37,300
579
+ ุนู† ุงู„ X bar ู…ุง ูƒู†ุง ู†ุนู…ู„ู‡ ููŠ ุงู„ Z ุฏู‡ ููŠ chapter 7
580
+
581
+ 146
582
+ 00:11:37,300 --> 00:11:41,800
583
+ ุฌุฏูŠุฏ ุนู…ู„ู†ุงู‡ุง X bar minus ุงู„ mean ุงู„ูˆ ุนู„ู‰ ุงู„ sigma
584
+
585
+ 147
586
+ 00:11:41,800 --> 00:11:45,600
587
+ ุงู„ูˆ ู…ุด ู‡ูŠูƒ ูˆุญูƒูŠู†ุง X bar minus ุงู„ mean ุงู„ูˆ ู…ูŠูˆ
588
+
589
+ 148
590
+ 00:11:45,600 --> 00:11:49,100
591
+ ูˆู‡ุงุฏูŠ ุงู„ sigma ุนู„ู‰ ุงู„ square ูˆุทุจุนุง ูˆุงุถุญ ุญุฏ ู…ุด ุฌุฏูŠุฏ
592
+
593
+ 149
594
+ 00:11:49,100 --> 00:11:52,520
595
+ ู„ุฅู† ุงู†ุง ุจูƒูˆู† ุนุงุฑู ุงู† ุงู„ mean ุนู„ู‰ ุงู„ X bar ุจุณู…ุฉ ู…ูŠูˆ
596
+
597
+ 150
598
+ 00:11:52,520 --> 00:11:55,380
599
+ ุงูˆ ุงู†ุง ุจุนุทูŠูƒ ุงูŠุงู‡ุง ูˆ sigma X bar sigma over sigma
600
+
601
+ 151
602
+ 00:11:58,110 --> 00:12:02,890
603
+ ุงูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ู‡ุฏูˆู„ุฉ ุชุฐูƒุฑ ุงู„ sample meanุŸ ูƒู†ุง ุจูŠุญูƒูŠ
604
+
605
+ 152
606
+ 00:12:02,890 --> 00:12:04,850
607
+ we can apply the central limit theorem if n is
608
+
609
+ 153
610
+ 00:12:04,850 --> 00:12:08,910
611
+ above 30 ูƒุงู† ููŠ conditions ู‡ุฏูˆู„ุฉ ุงู„ conditions
612
+
613
+ 154
614
+ 00:12:08,910 --> 00:12:12,930
615
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุนุดุงู† ู†ู‚ุฏุฑ ู†ุณุชุฎุฏู… ุงู„ central limit
616
+
617
+ 155
618
+ 00:12:12,930 --> 00:12:17,320
619
+ theorem ุนุดุงู† ุงู‚ุฏุฑ ุงุณุชุฎุฏู… z tableู„ุงุฒู… ุฃุชุฃูƒุฏ ุงู„ุดุฑุทูŠู†
620
+
621
+ 156
622
+ 00:12:17,320 --> 00:12:21,360
623
+ ู‡ุฏูˆู„ุฉ ู…ุงู„ู‡ู… satisfied ู…ุชุญู‚ู‚ูŠู† ู…ุงูƒุงู†ูˆุด ู…ูŠู†ูุนุด
624
+
625
+ 157
626
+ 00:12:21,360 --> 00:12:24,000
627
+ ุฃุณุชุฎุฏู… ุงู„ู€ central in it ุฅุฐุง ููŠ ู…ุณุฃู„ุฉ ุงู„
628
+
629
+ 158
630
+ 00:12:24,000 --> 00:12:28,260
631
+ proportion ุฌุงู„ู…ุง ุชุญู„ูŠ ุงู„ู…ุณุฃู„ุฉ ู„ุงุฒู… ุชุชุฃูƒุฏูŠ ุฃู† ุงู„
632
+
633
+ 159
634
+ 00:12:28,260 --> 00:12:33,640
635
+ two conditions are satisfied ุฎู„ุงุต ู†ุงุฎุฏ
636
+
637
+ 160
638
+ 00:12:33,640 --> 00:12:41,040
639
+ example ูˆ ู†ุดูˆู ูƒูŠู ู†ุญู„ ุนุดุงู†
640
+
641
+ 161
642
+ 00:12:41,040 --> 00:12:43,560
643
+ ูƒุฏู‡ ู„ุงุฒู… ุฃุนุทูŠ quiz ูˆู„ุง ู…ู† ุบูŠุฑ ุงู„ quizูŠุฉ ุชุญูƒู… ุงู„ูˆุถุน
644
+
645
+ 162
646
+ 00:12:46,260 --> 00:12:55,820
647
+ ุตุนุจ ู…ุซู„ู‹ุง ุงุชู†ูŠู† if the true proportion in
648
+
649
+ 163
650
+ 00:12:55,820 --> 00:13:02,540
651
+ general in statistics if we
652
+
653
+ 164
654
+ 00:13:02,540 --> 00:13:06,980
655
+ are talking about true proportion it means
656
+
657
+ 165
658
+ 00:13:06,980 --> 00:13:08,160
659
+ population proportion
660
+
661
+ 166
662
+ 00:13:13,280 --> 00:13:16,400
663
+ ูŠุนู†ูŠ ู„ู…ุง ุจุญูƒูŠ ู„ูƒ true ู…ุนู†ุงู‡ ุงู„ proportion ุงู„ูุนู„ูŠ
664
+
665
+ 167
666
+ 00:13:16,400 --> 00:13:20,740
667
+ ุจุชูƒู„ู… ุนู„ู‰ ุงู„ entire population ูุงู„ true ููŠ ุงู„
668
+
669
+ 168
670
+ 00:13:20,740 --> 00:13:25,240
671
+ statistics ู…ุนู†ุงู‡ุง ุงู„ population ูˆ ุงู„ proportion if
672
+
673
+ 169
674
+ 00:13:25,240 --> 00:13:28,140
675
+ the true proportion ูˆุงุถุญ ู„ู…ุง ุจุญูƒูŠ true ู…ุนู†ุงู‡ ู„ู…ูŠู†
676
+
677
+ 170
678
+ 00:13:28,140 --> 00:13:31,580
679
+ ู„ู„ population ูƒูƒู„ ู„ู…ุง ููŠ ุนู†ุฏ population ูˆ sample
680
+
681
+ 171
682
+ 00:13:31,580 --> 00:13:34,300
683
+ and we have to distinguish between these sample
684
+
685
+ 172
686
+ 00:13:34,300 --> 00:13:37,060
687
+ and proportion how can you distinguish it's very
688
+
689
+ 173
690
+ 00:13:37,060 --> 00:13:41,080
691
+ easy if it says true it means we are talking about
692
+
693
+ 174
694
+ 00:13:41,080 --> 00:13:44,580
695
+ populationุฎู„ุงุต ู„ู…ุง ุชูƒูˆู† ุงู„ sample ุชูƒูˆู† ูˆุงุถุญุฉ ุจุญูƒูŠ
696
+
697
+ 175
698
+ 00:13:44,580 --> 00:13:49,960
699
+ ู„ูƒ ุนูŠู†ุฉ ูˆ ู‡ูƒุฐุง ุฅุฐุง if the true proportion of
700
+
701
+ 176
702
+ 00:13:49,960 --> 00:13:54,500
703
+ voters who support proposition a is point four
704
+
705
+ 177
706
+ 00:13:54,500 --> 00:13:59,100
707
+ this means by equals point four even if the
708
+
709
+ 178
710
+ 00:13:59,100 --> 00:14:03,060
711
+ problem does not mention this by you have to know
712
+
713
+ 179
714
+ 00:14:03,060 --> 00:14:06,300
715
+ this is by not by ูˆุงุถุญุŸ ูŠุนู†ูŠ ู„ูˆ ุญุชู‰ ููŠ ุงู„ู…ุซู„
716
+
717
+ 180
718
+ 00:14:06,300 --> 00:14:11,840
719
+ ู…ุงุญูƒูŠุชุด by ูˆุญูƒูŠุช through ุงู„ true ุฏู‡ ู…ุนู†ุงู‡ุง ุฅูŠุดุŸ
720
+
721
+ 181
722
+ 00:14:13,600 --> 00:14:16,440
723
+ population ูˆุฒูŠ ู…ุง ุญูƒูŠุช population ูˆ proportion
724
+
725
+ 182
726
+ 00:14:16,440 --> 00:14:22,220
727
+ ู‡ุนุทูŠู‡ ุฑู…ุฒ ุจุงูŠ ูˆ ุงู„ sample ุจูŠุนุทูŠู‡ุง ุฑู…ุฒ ุจูŠู‡ ุฅุฐุง ุงู„
728
+
729
+ 183
730
+ 00:14:22,220 --> 00:14:26,520
731
+ by equal 0.4 ุงู„ุณุคุงู„ what's the probability that ..
732
+
733
+ 184
734
+ 00:14:26,520 --> 00:14:33,940
735
+ ุฅูŠุด ุงุญุชู…ุงู„ that a sample of size 200 yields
736
+
737
+ 185
738
+ 00:14:33,940 --> 00:14:37,920
739
+ a sample of proportion between 0.4 and 0.45 ุฅูŠุด ุงู„
740
+
741
+ 186
742
+ 00:14:37,920 --> 00:14:41,300
743
+ probability ุงู„ sample .. ู„ุญุธุฉ ุจูŠุญูƒูŠ sample of
744
+
745
+ 187
746
+ 00:14:41,300 --> 00:14:47,320
747
+ proportionุจูŠู† 0.4 ูˆ
748
+
749
+ 188
750
+ 00:14:47,320 --> 00:14:55,760
751
+ 0.45 ู†ุจุญุซ ุนู† ู‡ุฐุง ุงู„ูˆุงู‚ุน ุงู„ุฃูˆู„
752
+
753
+ 189
754
+ 00:14:55,760 --> 00:15:01,120
755
+ ูŠุฌุจ ุฃู† ู†ุชุฃูƒุฏ ุฃู† ุงู„ุงู†ุชุฌุงุฑูŠู† ุงู„ู…ุชูˆุงูู‚ูŠู† ููŠ ุงู„ุฃูˆู„
756
+
757
+ 190
758
+ 00:15:01,120 --> 00:15:07,600
759
+ ุจุฃุชุฃูƒุฏ ุฃู† ุงู„ุดุฑุทูŠู† ู…ุงู„ู‡ู… ู…ุชุญู‚ูŠู‚ูŠู† ุฅุฐุง ุฌุนู„ู†ุง ุฃุดุชุบู„
760
+
761
+ 191
762
+ 00:15:07,600 --> 00:15:19,740
763
+ ุงู„ู…ุซู„ุฉ ุงู„ุดุฑุท ุงู„ุฃูˆู„ N X YN equals 200 X Y Y ู‡ูˆ 0.4
764
+
765
+ 192
766
+ 00:15:19,740 --> 00:15:31,240
767
+ 200 X 0.4 ู‡ูˆ 80 ู‡ุฐุง ุงู„ุดุฑุท ุงู„ู„ูŠ ู„ุฏูŠ ุฃู†ู‡ ุฃูƒุจุฑ ู…ู†
768
+
769
+ 193
770
+ 00:15:31,240 --> 00:15:36,240
771
+ ุฎู…ุณุฉ ุฃูˆ ูŠุตุจุญ ุฎู…ุณุฉ ูˆุงุถุญ ู‡ุฐู‡ ู…ุงู„ู‡ุง ุฅุฐุง ุงู„ุดุฑุท ุงู„ุฃูˆู„
772
+
773
+ 194
774
+ 00:15:36,240 --> 00:15:50,410
775
+ ู…ูู‡ูˆู… ุงู„ุดุฑุท ุงู„ุชุงู†ูŠN X 1-Pi 920
776
+
777
+ 195
778
+ 00:15:50,410 --> 00:15:58,310
779
+ ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ 2 ุญุงู„ุฉ ูˆุงุถุญ ุงู„ุฃูˆู„ 80 ุงู„ุชุงู†ูŠ 120
780
+
781
+ 196
782
+ 00:15:58,310 --> 00:16:07,110
783
+ ุงู„ุชุงู†ูŠ ู…ุณุชู…ุชุน ุชุฃูƒุฏ ุฃู† ูƒู„ุง ุงู„ุงุซู†ูŠู† ูŠุฌุจ ุฃู† ูŠูƒูˆู†ูˆุง
784
+
785
+ 197
786
+ 00:16:07,110 --> 00:16:11,930
787
+ ู…ุณุชู…ุชุนูŠู†ูŠุนู†ูŠ if one is satisfied and the other one
788
+
789
+ 198
790
+ 00:16:11,930 --> 00:16:14,550
791
+ is not so we cannot apply the central limit
792
+
793
+ 199
794
+ 00:16:14,550 --> 00:16:18,690
795
+ theorem ูŠุนู†ูŠ ู„ุงุฒู… ุงู„ุดุฑุทูŠู† ูŠุชุญู‚ู‚ูˆุง ูˆุงุถุญ ุฃู† ุงู„ุดุฑุท
796
+
797
+ 200
798
+ 00:16:18,690 --> 00:16:22,550
799
+ ุงู„ุฃูˆู„ is okay ูˆ ุงู„ุชุงู†ูŠ is okay ู„ุญุธุฉ ู„ูˆ ุทู„ุน ุงู„ุฃูˆู„
800
+
801
+ 201
802
+ 00:16:22,550 --> 00:16:35,470
803
+ 80 ุงู„ุชุงู†ูŠ ู…ู† ุบูŠุฑ ู…ุญุณุจู‡ ู‡ูŠุชู„ุน ู…ู„ุงูˆุŸ ู‡ูŠุชู„ุน ุงู„ .. ู„ูˆ
804
+
805
+ 202
806
+ 00:16:35,470 --> 00:16:37,830
807
+ ุงู„ุฃูˆู„ 80 ู…ู† ุบูŠุฑ ู…ุญุณุจ ุงู„ุชุงู†ูŠ ู…ุด ู‡ูŠุณุงูˆูŠ
808
+
809
+ 203
810
+ 00:16:52,490 --> 00:17:04,550
811
+ ุฅุฐุง ุงู†ุง ูƒุฐุง
812
+
813
+ 204
814
+ 00:17:04,550 --> 00:17:09,470
815
+ ุญุณุจุช ุงู„ N ุจูŠ ูˆ N times 1 minus ุจูŠูˆุฅุฐุง ูƒุงู†ุช ูƒู„ุง
816
+
817
+ 205
818
+ 00:17:09,470 --> 00:17:12,770
819
+ ุงู„ุญุงู„ุงุช ู…ูู‡ูˆู…ุฉ ูุจุนุฏ ุฐู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุณุชุทูŠุน ุฃู†
820
+
821
+ 206
822
+ 00:17:12,770 --> 00:17:18,890
823
+ ู†ุณุชู…ุฑ ูˆู†ุฌุฏ ู‡ุฐู‡ ุงู„ู…ูู‡ูˆู…ุฉ ูู‡ุฐู‡ ุฃูˆู„ ุญุงุฌุฉ ุจู‚ู‰ ู…ู„ู‡ุง
824
+
825
+ 207
826
+ 00:17:18,890 --> 00:17:23,410
827
+ ูƒุชุจูŠู‡ุง ุนู†ุฏูƒ ู„ุฃู† ู‡ู†ุง ููŠ ุงู„ slide ู„ูŠุณุช ู…ูƒุชูˆุจุฉ ู„ุงุฒู…
828
+
829
+ 208
830
+ 00:17:23,410 --> 00:17:31,650
831
+ ุงุชุฃูƒุฏ ุงู† ุงุชูˆ ุญุงู„ุงุช ู…ูู‡ูˆู…ุฉ Nร—Pi ุฃู‚ู„ ู…ู† 5 ูˆNร—1-Pi
832
+
833
+ 209
834
+ 00:17:31,650 --> 00:17:36,310
835
+ ุฃูŠุถุง ุฃู‚ู„ ู…ู† 5ู„ูˆ ูƒุงู†ูˆุง ู…ุด ู…ุชุญู‚ู‚ูŠู† ุงุญูƒูŠ ุงู†ู‡ ุบูŠุฑ
836
+
837
+ 210
838
+ 00:17:36,310 --> 00:17:40,370
839
+ ู…ุชุญู‚ู‚ูŠู† and we cannot continue ุจุบูŠุฑ ุนุดุงู† ุงูƒู…ู„ ู„ุง
840
+
841
+ 211
842
+ 00:17:40,370 --> 00:17:45,890
843
+ ุจุชูƒู…ู„ุด ุงู„ู…ุซู„ุฉ ุงู„ุงู† ุงู„ุฎุทุจุฉ ุงู„ู…ุงู‚ุนุฉ ู‡ุชุทู„ุน ุงู„ู…ูŠู† ู„ู„
844
+
845
+ 212
846
+ 00:17:45,890 --> 00:17:54,170
847
+ ุจูŠ ุจุชุณูˆุก ุจุงูŠ ุงู„ by equals point four ูˆ
848
+
849
+ 213
850
+ 00:17:54,170 --> 00:18:00,010
851
+ ุงู„ sigma ู„ู„ ุจูŠ square root of by times one minus
852
+
853
+ 214
854
+ 00:18:00,010 --> 00:18:01,370
855
+ by divided by n
856
+
857
+ 215
858
+ 00:18:04,770 --> 00:18:08,870
859
+ ู‡ุฐุง ู‡ูˆ ุฅุฎุทุงุฑ ุนุงุฏู„ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ูˆุงุถุญุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ
860
+
861
+ 216
862
+ 00:18:08,870 --> 00:18:10,350
863
+ ุงู„ูˆุงุถุญุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ูˆุงุถุญุฉ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ูˆุงุถุญุฉ
864
+
865
+ 217
866
+ 00:18:10,350 --> 00:18:13,870
867
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
868
+
869
+ 218
870
+ 00:18:13,870 --> 00:18:17,890
871
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
872
+
873
+ 219
874
+ 00:18:17,890 --> 00:18:21,530
875
+ ุงู„ูˆุงุถุญุฉ
876
+
877
+ 220
878
+ 00:18:21,530 --> 00:18:25,390
879
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
880
+
881
+ 221
882
+ 00:18:25,390 --> 00:18:26,610
883
+ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ ุงู„ูˆุงุถุญุฉ
884
+
885
+ 222
886
+ 00:18:31,740 --> 00:18:33,900
887
+ ู„ุงุฒู… ุงุชุนุฑู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ mean ู„ู„ู€ b ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ ฯ€ุงูŠ
888
+
889
+ 223
890
+ 00:18:33,900 --> 00:18:37,020
891
+ ูˆ ุงู„ู€ sigma ู„ู„ู€ b ุจุงูŠ one minus pi over n under
892
+
893
+ 224
894
+ 00:18:37,020 --> 00:18:40,460
895
+ the square root ุงู„ู„ูŠ ุฃู†ุง ุจุญุงูˆู„ ุงู„ู…ุซู„ุฉ ู…ู† ุงู„
896
+
897
+ 225
898
+ 00:18:40,460 --> 00:18:46,900
899
+ proportion between point four and point four five
900
+
901
+ 226
902
+ 00:18:46,900 --> 00:18:54,660
903
+ ู„ุฒูŠ score ุจุญุงูˆู„ ู‡ุฐู‡ ู„ุฒูŠ score ุงู„ู‚ุงู†ูˆู†
904
+
905
+ 227
906
+ 00:18:54,660 --> 00:18:58,780
907
+ ุณู‡ู„ ุงู†ุช ุญุงูุธุงู‡ ูˆ ูุงู‡ู…ุงู‡ ู‡ุฐู‡ ุงู„ b ุงู„ู„ูŠ ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูŠ
908
+
909
+ 228
910
+ 00:18:58,780 --> 00:19:09,690
911
+ ู‡ุฐู‡ ู…ุธุจูˆุท ู‡ุฐู‡ ู‡ูŠูƒ- ู…ูŠู†ุŸ ู†ู‚ุต ุงู„ู€ Y ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ู„ู†ู‚ุต
912
+
913
+ 229
914
+ 00:19:09,690 --> 00:19:15,550
915
+ ุงู„ู‚ูŠู…ุฉ ู‡ูŠ ู‡ุฐู‡ ุนู„ู‰ ุงู„ู€ Sigma ุฅู„ู‰ ุงู„ู€ B ุงู„ู„ูŠ ู‡ูŠ ู…ุด
916
+
917
+ 230
918
+ 00:19:15,550 --> 00:19:25,250
919
+ ู…ุชุณุงูˆูŠ ุฅู„ูŠู‡ุง ู‡ุฐุง ู…ุธุจูˆุท ูู‡ุฐุง ู‡ุชูŠุฌูŠ ู‡ู†ุง ุฅุฐุง
920
+
921
+ 231
922
+ 00:19:25,250 --> 00:19:28,970
923
+ ู‡ุฐูŠ B minus ุงู„ู€ Min ุฅู„ูŠู‡ุง ุนู„ู‰ ุงู„ู€ Sigma ุชุจุนุชู‡ุง ุฃู‚ู„
924
+
925
+ 232
926
+ 00:19:28,970 --> 00:19:34,970
927
+ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ู‡ุงูŠ ุงู„ู€ Z ุฃู‚ู„ ู…ู†ุฒูŠ ู…ุง ุนู…ู„ุช ู„ุฃูˆู„ู‰ ุจุนู…ู„
928
+
929
+ 233
930
+ 00:19:34,970 --> 00:19:44,250
931
+ ู„ุชุงู†ูŠุฉ ๏ฟฝ๏ฟฝู…ุณุฉ ูˆุงุฑุจุนูŠู† ู†ู‚ุต ุงู„ by ุงู„ู„ูŠ ุงู„ุงุฑุจุนุฉ ุนุฒูŠุฒูŠ
932
+
933
+ 234
934
+ 00:19:44,250 --> 00:19:49,430
935
+ ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุณุชุฉ ุงุฑุจุนุฉ ุงุฐุง ุงู„ two steps step one we
936
+
937
+ 235
938
+ 00:19:49,430 --> 00:19:51,230
939
+ have to make sure that the two conditions are
940
+
941
+ 236
942
+ 00:19:51,230 --> 00:19:56,130
943
+ satisfied then compute the mean of b and sigma of
944
+
945
+ 237
946
+ 00:19:56,130 --> 00:20:02,800
947
+ b and just convert b to z scoreุจุงุณุชุฎุฏุงู… B minus
948
+
949
+ 238
950
+ 00:20:02,800 --> 00:20:09,460
951
+ its mean over its standard error ู‡ุฐุง ุณุชุณุงูˆูŠ ู‡ุฐุง
952
+
953
+ 239
954
+ 00:20:09,460 --> 00:20:13,120
955
+ Zero ู„ูˆ
956
+
957
+ 240
958
+ 00:20:13,120 --> 00:20:17,820
959
+ ุญุณุจุชู‡ุง ุชู‚ุฑุฑ 1.44 ุฅุฐุงู‹
960
+
961
+ 241
962
+ 00:20:17,820 --> 00:20:23,260
963
+ ุญุณุงุจุงุช ุนุงุฏูŠุฉ ุดูˆููˆุง ู„ุบุงูŠุฉ ุงู„ู„ุญุธุฉ ู‡ู†ุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู†
964
+
965
+ 242
966
+ 00:20:23,260 --> 00:20:30,100
967
+ chapter 7 ุฃุฎุฏู†ุง ุงู„ูŠูˆู… ูˆุจุนุฏ ุฐู„ูƒู„ุชุทู„ุน probability of
968
+
969
+ 243
970
+ 00:20:30,100 --> 00:20:34,840
971
+ z between 0 and 1.44 ุงู„ steps ุงู„ู„ูŠ ุฌุงูŠุฉ ู„ chapter
972
+
973
+ 244
974
+ 00:20:34,840 --> 00:20:39,260
975
+ 6 ู…ุน ูƒุฏู‡ to understand 7 you have to make sure
976
+
977
+ 245
978
+ 00:20:39,260 --> 00:20:45,580
979
+ that you understand carefully chapter 6 so make
980
+
981
+ 246
982
+ 00:20:45,580 --> 00:20:49,300
983
+ sure that concepts of chapter 6 are understood
984
+
985
+ 247
986
+ 00:20:49,300 --> 00:20:54,620
987
+ then you can proceed and continue to chapter 7 now
988
+
989
+ 248
990
+ 00:20:54,620 --> 00:21:00,070
991
+ to find this probability between 0 and 1.44it's
992
+
993
+ 249
994
+ 00:21:00,070 --> 00:21:04,670
995
+ equal how can you find this probability between
996
+
997
+ 250
998
+ 00:21:04,670 --> 00:21:12,370
999
+ two values ูƒูŠู ู†ุญุณุจู‡ุง ุจูŠู† ู‚ูŠู…ุชูŠู† ุฃู‚ู„
1000
+
1001
+ 251
1002
+ 00:21:12,370 --> 00:21:17,230
1003
+ ู…ู† 1.44 ุงู„ุชุงู†ู‰
1004
+
1005
+ 252
1006
+ 00:21:17,230 --> 00:21:22,050
1007
+ ุงู„ู„ู‰ ู‡ู‰ ุงู„ zero ุงู„ุงู† ุจุชุทู„ุน ุนู„ู‰ ุงู„ table ุงู„ table
1008
+
1009
+ 253
1010
+ 00:21:22,050 --> 00:21:22,870
1011
+ ุงู„ู„ู‰ ู…ูˆุฌูˆุฏ ู…ุนุงูƒ
1012
+
1013
+ 254
1014
+ 00:21:28,170 --> 00:21:36,910
1015
+ ุจุชุทู„ุน ุนู„ู‰ 1.44 ู„ู€ positive z score ุทู„ุน
1016
+
1017
+ 255
1018
+ 00:21:36,910 --> 00:21:42,130
1019
+ ู‡ุงูŠ ุงู„ z ูˆ ู‡ุงูŠ ุงู„ positive we are looking for 1.4
1020
+
1021
+ 256
1022
+ 00:21:42,130 --> 00:21:49,890
1023
+ so this row under 4 so it's 9251
1024
+
1025
+ 257
1026
+ 00:22:01,380 --> 00:22:05,340
1027
+ ู„ูŠุด one minusุŸ ู‡ูŠ ู…ุงุนุทูŠูƒ ุงู„ z ุนู‚ู„ ุนู„ู‰ ุทูˆู„ุŒ ู„ูŠุด one
1028
+
1029
+ 258
1030
+ 00:22:05,340 --> 00:22:08,180
1031
+ minusุŸ ุฃู†ุง ุจุณุชุฎุฏู… ุงู„ one minus ุฅุฐุง ูƒุงู†ุช greater
1032
+
1033
+ 259
1034
+ 00:22:08,180 --> 00:22:15,060
1035
+ than ู‡ุฐุง ุงู„ z ุนู‚ู„ุŒ ุดูˆู ุงู„ table ูˆุงุถุญ ุงู„ table
1036
+
1037
+ 260
1038
+ 00:22:15,060 --> 00:22:19,180
1039
+ ุจูŠุนุทูŠ ุงู„ area ู„ู„ูŠ ูˆูŠู†ุŸ to the leftุŒ ูู…ู† ุบูŠุฑ ูˆุงุญุฏ
1040
+
1041
+ 261
1042
+ 00:22:19,180 --> 00:22:35,590
1043
+ minus ุฃู†ุชูˆุง ู…ุนูŠ ูˆู„ุง ูƒุฏู‡ุŸุทุจ ุฒูŠ ุฃู‚ู„ ู…ู† ุตูุฑ ู†ุต ุฃุทู„ุน
1044
+
1045
+ 262
1046
+ 00:22:35,590 --> 00:22:40,130
1047
+ ุฌุงุจ point four two five one ู‡ุฐุง ุงู„ example ุงู„ูˆุญูŠุฏ
1048
+
1049
+ 263
1050
+ 00:22:40,130 --> 00:22:46,190
1051
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู…ูˆุฌูˆุฏ ุฅุฐุง ุญูˆู„ุชู…ู† ุงู„ู€ sampling
1052
+
1053
+ 264
1054
+ 00:22:46,190 --> 00:22:49,890
1055
+ distribution ู„ู„ู€ B ุญูˆู„ุชู‡ ู„ู€ standardized .. ู„ู€
1056
+
1057
+ 265
1058
+ 00:22:49,890 --> 00:22:51,930
1059
+ standardized normal distribution ูˆุทุงู‚ุฉ ุงู„ู€ area
1060
+
1061
+ 266
1062
+ 00:22:51,930 --> 00:23:04,890
1063
+ between 0 ูˆ 1.44ูŠูƒู…ู„ 0.4251 ุณู‡ู„ ุฃู‡ ู„ุฃ
1064
+
1065
+ 267
1066
+ 00:23:04,890 --> 00:23:09,250
1067
+ for the same example suppose we are looking for
1068
+
1069
+ 268
1070
+ 00:23:09,250 --> 00:23:12,990
1071
+ probability
1072
+
1073
+ 269
1074
+ 00:23:14,460 --> 00:23:23,280
1075
+ of b greater than point six ูˆุนุงูŠุฒ
1076
+
1077
+ 270
1078
+ 00:23:23,280 --> 00:23:27,960
1079
+ ุญุฏ ูŠุญู„ู„ ุฅูŠู‡ุง probability ุงู„ similar proportion
1080
+
1081
+ 271
1082
+ 00:23:27,960 --> 00:23:33,760
1083
+ greater than point six ุญุฏ ุทุจุนู‡ ูŠุญู„ู„
1084
+
1085
+ 272
1086
+ 00:23:47,000 --> 00:23:56,420
1087
+ ูˆุงู†ุช ุจุชุญู„ ุงุชูƒู„ู…ู‡ ู‡ู„ู‚ูŠุชู‡ุง ู‡ุงู†ุŸ ู‡ุงู† ุงู„ุฅุดุงุฑุฉ ู‡ูŠ ุนูƒุณ
1088
+
1089
+ 273
1090
+ 00:23:56,420 --> 00:24:01,340
1091
+ ู…ุง ุงุญู†ุง ุจู†ุงุฎุฏู‡ุง ุฏุงูŠู…ุงุŒ ูุจู†ุญูˆู„ู‡ุง ู„ุฅูŠู‚ุงุธ ุฃู‚ู„
1092
+
1093
+ 274
1094
+ 00:24:08,030 --> 00:24:11,570
1095
+ ูƒูˆูŠุณุฉ ุฏู‡ ุฃูˆู„ ุฎุทูˆุฉ ุทุงู„ู…ุง ุฒูŠ ู…ุง ุญูƒุช ุฒู…ูŠู„ุชูƒ ููŠ ุงู„ุฃูˆู„
1096
+
1097
+ 275
1098
+ 00:24:11,570 --> 00:24:15,510
1099
+ ุจุณ ุญูƒุช ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆ ุฏู‡ ู…ุด ุตุญ ู„ู…ุง ุชูƒูˆู† ุฃูƒุจุฑ ุจุญูˆู„ ู„ู„
1100
+
1101
+ 276
1102
+ 00:24:15,510 --> 00:24:19,430
1103
+ one minus ุจูŠู‡ ุฃู‚ู„ ู…ู† ุงู„ point ุณุชุฉ ู…ู† ุงู„ุนุดุฑ one
1104
+
1105
+ 277
1106
+ 00:24:19,430 --> 00:24:25,490
1107
+ minus ูƒุงู…ู†ุฉ ุจุณ ุญุทูŠู‡ ุงู„ุณุงูˆูŠ ุงู† ุงู†ุง ุญุงูˆู„ ุจูŠู‡ ุงู„ู„ูŠ ู‡ูŠ
1108
+
1109
+ 278
1110
+ 00:24:25,490 --> 00:24:30,570
1111
+ ู„ z ูƒูˆูŠุณุฉ ุจุชุญูˆู„ ุจูŠู‡ ู„ z ุฏู‡ ู„ู…ุง ุชุชุฃูƒุฏ ู†ูุณูƒ ู…ุด ู…ุทู„ูˆุจ
1112
+
1113
+ 279
1114
+ 00:24:30,570 --> 00:24:35,230
1115
+ ุงู†ุง ู‡ุชุฃูƒุฏ ู†ูุณูŠ ู†ูุณูŠ ู…ุซู„ุง ู…ุด ูƒู„ ู…ุฑุฉ ุงุชุฃูƒุฏ ุงู† ุงู†ุง
1116
+
1117
+ 280
1118
+ 00:24:35,230 --> 00:24:35,550
1119
+ ุจุญู„
1120
+
1121
+ 281
1122
+ 00:24:48,590 --> 00:24:54,490
1123
+ ูƒูˆูŠุณ ุจุงูŠ ูˆุงู† ู…ุงูŠู†ูˆุณ ุจุงูŠ ูˆูุฑ ุงู† minus ูˆุงุญุฏ minus
1124
+
1125
+ 282
1126
+ 00:24:54,490 --> 00:24:58,650
1127
+ ุจุงูŠ ู‡ูˆ ู…ูƒุชูˆุจ ู„ูŠุด ุชูƒุชุจู‡ ู…ุฑุชูŠู† ุจุชุณุงูˆูŠ ุจุชุณุงูˆูŠ ู…ุด
1128
+
1129
+ 283
1130
+ 00:24:58,650 --> 00:25:07,010
1131
+ ู…ุดูƒู„ุฉ ุจุชุณุงูˆูŠ ุงู„ ุจูŠ ู‡ูŠ ุณุชุฉ ู…ู† ุนุดุฑุฉ minus ุงู„ ุจุงูŠ
1132
+
1133
+ 284
1134
+ 00:25:07,010 --> 00:25:07,450
1135
+ ุฃุฑุจุนุฉ
1136
+
1137
+ 285
1138
+ 00:25:11,670 --> 00:25:17,370
1139
+ ุงู„ู„ูŠ point zero ููŠ ..
1140
+
1141
+ 286
1142
+ 00:25:17,370 --> 00:25:23,930
1143
+ ูƒูˆูŠุณุฉ ู‡ุฐู‡ ู‡ุชุณุงูˆูŠ .. ุฅูŠู‡ ู„ุฃ ุจุณ ุชุญุณุจูŠู‡ุง ุฏูˆู„ ุจูŠุทู„ุน
1144
+
1145
+ 287
1146
+ 00:25:23,930 --> 00:25:28,450
1147
+ ุฎู…ุณุฉ point ุณุจุนุฉ ุณุจุนุฉ ุจูŠุญุทูˆุง
1148
+
1149
+ 288
1150
+ 00:25:28,450 --> 00:25:33,390
1151
+ ุงู„ู„ูŠ ูŠุณุงูˆูŠ ุฏุงูŠู…ุง ูŠุณุงูˆูŠ ู…ุนุงูƒ ุฅุฐุง .. ุงู…ุณุญ ุงู„ู„ูŠ ุนู†ุฏูƒ
1152
+
1153
+ 289
1154
+ 00:25:33,390 --> 00:25:39,670
1155
+ ุฅุฐุง ุงู„ู…ุซู„ุฉ ุงุชุญูˆู„ุช ุทู„ุนุช ุงู„ z score ู†ุนู…
1156
+
1157
+ 290
1158
+ 00:25:42,690 --> 00:25:51,030
1159
+ ู‡ุฐู‡ ุจุงู‰ ูˆุงุญุฏ minus ูˆุงู‰ ู…ูƒุชุจุชู‡ุง ุงุชูŠู† ู…ุฑุฉ ุชุญุช ุงุฐุง
1160
+
1161
+ 291
1162
+ 00:25:51,030 --> 00:25:58,190
1163
+ ุจุชุณุงูˆูŠ probability of z ุงู‚ู„ ู…ู† five point seven
1164
+
1165
+ 292
1166
+ 00:25:58,190 --> 00:26:03,470
1167
+ seven ุงู„ุงู†
1168
+
1169
+ 293
1170
+ 00:26:03,470 --> 00:26:10,250
1171
+ z ุงู‚ู„ ู…ู† five point seven seven ูŠุนู†ูŠ
1172
+
1173
+ 294
1174
+ 00:26:10,250 --> 00:26:26,960
1175
+ ุงูŠุด ุจุชุณุงูˆูŠู‡ุฐู‡ ู„ุญุงู„ู‡ุง ูˆุงุญุฏุฉ ู…ู…ุชุงุฒ ุทู„ุน
1176
+
1177
+ 295
1178
+ 00:26:26,960 --> 00:26:32,060
1179
+ ู…ุนูŠ ู…ุฑุฉ ุชุงู†ูŠุฉ ูƒุงู† ู…ุทู„ูˆุจ probability of the sample
1180
+
1181
+ 296
1182
+ 00:26:32,060 --> 00:26:36,560
1183
+ proportion greater than 0.6 ุงู„ table ู…ุง ู‚ูŠู„ุช to
1184
+
1185
+ 297
1186
+ 00:26:36,560 --> 00:26:39,660
1187
+ the left ุญูˆู„ุช one minus ุจ
1188
+
1189
+ 298
1190
+ 00:26:41,890 --> 00:26:48,510
1191
+ ู…ู‚ุงุฑู†ุฉ ุฃู‚ู„ ู…ู† 0.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1192
+
1193
+ 299
1194
+ 00:26:48,510 --> 00:26:49,170
1195
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1196
+
1197
+ 300
1198
+ 00:26:49,170 --> 00:26:50,330
1199
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1200
+
1201
+ 301
1202
+ 00:26:50,330 --> 00:26:50,830
1203
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1204
+
1205
+ 302
1206
+ 00:26:50,830 --> 00:26:52,510
1207
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1208
+
1209
+ 303
1210
+ 00:26:52,510 --> 00:26:55,750
1211
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1212
+
1213
+ 304
1214
+ 00:26:55,750 --> 00:27:00,230
1215
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B.6
1216
+
1217
+ 305
1218
+ 00:27:00,230 --> 00:27:06,790
1219
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ B
1220
+
1221
+ 306
1222
+ 00:27:06,790 --> 00:27:17,110
1223
+ .6 ู…ู‚ุฒูŠ score positive 5.77 again this table gives
1224
+
1225
+ 307
1226
+ 00:27:17,110 --> 00:27:26,810
1227
+ up to 3.4 z score under 09 we have 9998 ุงูŠู‡ ูŠุนู†ูŠ
1228
+
1229
+ 308
1230
+ 00:27:26,810 --> 00:27:35,250
1231
+ ู„ุบุงูŠุฉ 3.49 this area equals 9998
1232
+
1233
+ 309
1234
+ 00:27:40,210 --> 00:27:45,550
1235
+ ุงู„ู„ูŠ ู‡ูŠ ุฃุฎุฑ ู‚ูŠู…ุฉ ุจุงู„ุฌุฏูˆู„ 998
1236
+
1237
+ 310
1238
+ 00:27:45,550 --> 00:27:54,730
1239
+ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ู…ู†ู‡ุง ู„ุบุงูŠุฉ 5.77 ูุชู‚ุฑูŠุจุงู‹
1240
+
1241
+ 311
1242
+ 00:27:54,730 --> 00:27:57,790
1243
+ ูˆุงุญุฏ ู„ุฃู† ุงู„ู…ุณุงุญุฉ ุงู„ probability underneath the
1244
+
1245
+ 312
1246
+ 00:27:57,790 --> 00:28:02,030
1247
+ normal curve equals one ูƒู„ ุงู„ area ุจูˆุงุญุฏ ูุงู„ุชุงุฏ is
1248
+
1249
+ 313
1250
+ 00:28:02,030 --> 00:28:05,010
1251
+ approximately ูˆุงุญุฏ ุฅุฐุง one minus one equals zero
1252
+
1253
+ 314
1254
+ 00:28:05,010 --> 00:28:08,750
1255
+ ููŠ
1256
+
1257
+ 315
1258
+ 00:28:08,750 --> 00:28:09,410
1259
+ ุฃูŠ ุณุคุงู„ุŸ
1260
+
1261
+ 316
1262
+ 00:28:17,350 --> 00:28:27,230
1263
+ ููŠ ุงูŠ ุณุคุงู„ ุฑู‚ู…
1264
+
1265
+ 317
1266
+ 00:28:27,230 --> 00:28:35,650
1267
+ ุชู„ุงุชุฉ find a or find x find
1268
+
1269
+ 318
1270
+ 00:28:35,650 --> 00:28:41,430
1271
+ a or x or whatever else find a such that this
1272
+
1273
+ 319
1274
+ 00:28:41,430 --> 00:28:45,670
1275
+ probability find a constant a
1276
+
1277
+ 320
1278
+ 00:28:54,650 --> 00:28:58,830
1279
+ ูˆุงู„ุชุฃูƒูŠุฏ ู‡ูˆ 9710
1280
+
1281
+ 321
1282
+ 00:28:58,830 --> 00:29:08,810
1283
+ ูƒูŠู
1284
+
1285
+ 322
1286
+ 00:29:08,810 --> 00:29:18,870
1287
+ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‡ุฐุง ุฃูˆ 9713ุŸ ู†ุฌุฏ A ุจู…ุนู†ู‰ ุฃู† ุงู„ุชุฃูƒูŠุฏ
1288
+
1289
+ 323
1290
+ 00:29:20,210 --> 00:29:26,290
1291
+ of b less than or equals a equals 0.973713 ูƒูŠู
1292
+
1293
+ 324
1294
+ 00:29:26,290 --> 00:29:33,250
1295
+ ุจุชุทู„ุน ุงู„ a ู…ู…ุชุงุฒ ุจุฌูŠุจ ุงู„ z ููŠ ุงู„ุฃูˆู„ ุจุชุทู„ุน ุงู„ z
1296
+
1297
+ 325
1298
+ 00:29:33,250 --> 00:29:39,890
1299
+ corresponding to this value 9713 ูŠุนู†ูŠ ู…ุด ุจุงู„ุณุงูˆูŠุฉ
1300
+
1301
+ 326
1302
+ 00:29:39,890 --> 00:29:46,370
1303
+ ุชุณุนุฉ ุชุญุช ุงู„ zero ุฒูŠ ุฏู‡ ุฃูˆู„ step ู„ู…ุง ุจูŠุนุทูŠู‡ู… ุงู„
1304
+
1305
+ 327
1306
+ 00:29:46,370 --> 00:29:48,750
1307
+ probability ุจุชุทู„ุน ุงู„ z corresponding to this
1308
+
1309
+ 328
1310
+ 00:29:48,750 --> 00:29:53,000
1311
+ probabilityุฃู†ุง ุงุนุทูŠู†ูŠ probability of 9 7 1 3 which
1312
+
1313
+ 329
1314
+ 00:29:53,000 --> 00:30:03,700
1315
+ is 1.9 ุงู„ู€ z ู„ู„ a ู‡ูˆ a minus ุงู„ mean ู„ู„ b ุงู„ู„ูŠ ู‡ูˆ
1316
+
1317
+ 330
1318
+ 00:30:03,700 --> 00:30:09,860
1319
+ ุจุงูŠ minus ุณูŠุฌู…ุง ู„ู„ b ู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ ุจุชุณุงูˆูŠ 1.9 ุฅุฐุง ุงู„
1320
+
1321
+ 331
1322
+ 00:30:09,860 --> 00:30:19,240
1323
+ a minus 0.4 ุณูŠุฌู…ุง ุจูŠ ูƒุงู† ุงู„ุฌูˆุงุจ 03 464
1324
+
1325
+ 332
1326
+ 00:30:19,240 --> 00:30:25,630
1327
+ ู…ุธุจูˆุทู‡ุฐุง ุจูŠุตูŠุญูŠ 1.90 ู†ุนู…ู„
1328
+
1329
+ 333
1330
+ 00:30:25,630 --> 00:30:34,370
1331
+ cross multiplication ู†ุญุตู„ ุนู„ู‰ a-0.4 equals 1.9
1332
+
1333
+ 334
1334
+ 00:30:34,370 --> 00:30:44,170
1335
+ times 0.03464 ุฅุฐุง
1336
+
1337
+ 335
1338
+ 00:30:44,170 --> 00:30:49,120
1339
+ ุงู„ู„ูŠ ุฃู†ุง ุทู„ุนุช 1.9 ุนุจุงุฑุฉ ุนู† ุงู„ z-score ู…ุธุจูˆุทุŸุฒูŠ
1340
+
1341
+ 336
1342
+ 00:30:49,120 --> 00:30:54,300
1343
+ ุณูƒูˆุฑุฉ ุนุจุงุฑุฉ ุนู† a-ฯ€ ุนู„ู‰ ุณูŠุฌู…ุน ุงู„ู€b ุทู„ุน a-ฯ€ 0.4
1344
+
1345
+ 337
1346
+ 00:30:54,300 --> 00:31:00,140
1347
+ ุณูŠุฌู…ุน ุงู„ู€b 104 03464 equal 1.90 to get the value
1348
+
1349
+ 338
1350
+ 00:31:00,140 --> 00:31:03,940
1351
+ of a just cross multiplication you will get a
1352
+
1353
+ 339
1354
+ 00:31:03,940 --> 00:31:10,480
1355
+ equal 0.4 plus 19 times this value
1356
+
1357
+ 340
1358
+ 00:31:13,240 --> 00:31:22,180
1359
+ ุงู„ุงู† ุจุฅู…ูƒุงู†ูƒ ูู‚ุท ุชุฎุฒูŠู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ 1
1360
+
1361
+ 341
1362
+ 00:31:22,180 --> 00:31:31,540
1363
+ .9 x 0.34 5
1364
+
1365
+ 342
1366
+ 00:31:31,540 --> 00:31:37,940
1367
+ .2 1.9 x 0.34
1368
+
1369
+ 343
1370
+ 00:31:41,270 --> 00:31:47,790
1371
+ plus point four point four six five eight point
1372
+
1373
+ 344
1374
+ 00:31:47,790 --> 00:31:50,810
1375
+ four six five eight point four six five eight
1376
+
1377
+ 345
1378
+ 00:31:50,810 --> 00:31:51,070
1379
+ point four six five eight point four six five
1380
+
1381
+ 346
1382
+ 00:31:51,070 --> 00:31:51,310
1383
+ eight point four six five eight point four six
1384
+
1385
+ 347
1386
+ 00:31:51,310 --> 00:31:51,330
1387
+ five eight point four six five eight point four
1388
+
1389
+ 348
1390
+ 00:31:51,330 --> 00:31:51,410
1391
+ four six five eight point four six five eight
1392
+
1393
+ 349
1394
+ 00:31:51,410 --> 00:31:51,830
1395
+ eight point four six five eight point four six
1396
+
1397
+ 350
1398
+ 00:31:51,830 --> 00:31:51,870
1399
+ five eight point four six five eight point four
1400
+
1401
+ 351
1402
+ 00:31:51,870 --> 00:31:52,850
1403
+ six five eight point four six five eight point
1404
+
1405
+ 352
1406
+ 00:31:52,850 --> 00:31:53,470
1407
+ four six five eight point four six five eight
1408
+
1409
+ 353
1410
+ 00:31:53,470 --> 00:31:55,810
1411
+ point four six five eight point four six five
1412
+
1413
+ 354
1414
+ 00:31:55,810 --> 00:32:02,550
1415
+ eight point four six five eight point four six
1416
+
1417
+ 355
1418
+ 00:32:02,550 --> 00:32:07,270
1419
+ five eight point four six five eight point
1420
+
1421
+ 356
1422
+ 00:32:10,360 --> 00:32:15,940
1423
+ ุงู„ู‚ุงู†ูˆู† ู„ู… ูŠุชุบูŠุฑ ุนู†ุฏู…ุง ูƒู†ุง ู†ุชุญุฏุซ ุนู† ุงู„ู€ X bar ูƒุงู†ุช
1424
+
1425
+ 357
1426
+ 00:32:15,940 --> 00:32:19,960
1427
+ ุนุจุงุฑุฉ ุนู† ุงู„ู€ mean ุฒูŠ ุงู„ู€ Z sigma X barุŒ ุฃู„ูŠุณ ูƒุฐู„ูƒุŸ
1428
+
1429
+ 358
1430
+ 00:32:19,960 --> 00:32:25,180
1431
+ ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ ุนู„ู‰ ุงู„ู€ BุŒ ู…ุงู‡ูŠ ุญุฏุซุŸ ู„ุงุญุธ ุงู„ู€ point
1432
+
1433
+ 359
1434
+ 00:32:25,180 --> 00:32:29,540
1435
+ four ุนุจุงุฑุฉ ุนู† ุฅูŠู‡ุŸ
1436
+
1437
+ 360
1438
+ 00:32:29,540 --> 00:32:35,480
1439
+ ุทู„ุน ู„ู„ู€ A ุงู„ู€ A ู‡ุชุณุงูˆูŠ ุงู„ู€ point four ุนุจุงุฑุฉ ุนู† Pi
1440
+
1441
+ 361
1442
+ 00:32:35,480 --> 00:32:45,150
1443
+ 1.9 Z4ูˆู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุงู„ู€ means ู„ุญุธุฉ ุงู„ู‚ุงู†ูˆู† ู…ุงู„ู‡ ู‡ูˆ
1444
+
1445
+ 362
1446
+ 00:32:45,150 --> 00:32:51,070
1447
+ ู†ูุณู‡ ูุงู„ู‚ูˆุงู† ุฏุงูŠู…ุง ุงู„ mean plus z sigma ู„ูˆ ูƒุงู†
1448
+
1449
+ 363
1450
+ 00:32:51,070 --> 00:32:55,890
1451
+ ุนู†ุฏู‰ x bar ุจูŠุตูŠุฑ ุงู„ mean ุฒูŠ ุงู„ sigma x bar ู„ูˆ ูƒุงู†
1452
+
1453
+ 364
1454
+ 00:32:55,890 --> 00:33:00,230
1455
+ ุนู†ุฏู‰ proportion ุจูŠุตูŠุฑ y ุฒูŠ ุงู„ sigma z sigma b ุฃูˆ
1456
+
1457
+ 365
1458
+ 00:33:00,230 --> 00:33:03,270
1459
+ ุญู„ู„ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ ููŠ ุงู„ุญู„ู‚ุฉ ุชุตู„ ู„ู†ูุณ ุงู„ุญู„ ุฅุฐุง
1460
+
1461
+ 366
1462
+ 00:33:03,270 --> 00:33:07,190
1463
+ ู…ุฑุฉ ุชุงู†ูŠุฉ ู„ู…ุง ุงู„ probability is given step number
1464
+
1465
+ 367
1466
+ 00:33:07,190 --> 00:33:13,920
1467
+ oneู…ุนุฑูุฉ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
1468
+
1469
+ 368
1470
+ 00:33:13,920 --> 00:33:17,760
1471
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
1472
+
1473
+ 369
1474
+ 00:33:17,760 --> 00:33:34,160
1475
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ
1476
+
1477
+ 370
1478
+ 00:33:42,070 --> 00:33:47,470
1479
+ 0.008 ุงุญุตู„
1480
+
1481
+ 371
1482
+ 00:33:47,470 --> 00:33:51,870
1483
+ ุนู„ู‰ ู‚ูŠู…ุฉ C. C ู‡ูŠ ู…ุตุงุฏุฑ ู…ุจุงุฏุฑุฉ. ุจู…ุนู†ู‰ ุฃู† ู‡ุฐุง ุงู„ู€
1484
+
1485
+ 372
1486
+ 00:33:51,870 --> 00:33:54,590
1487
+ Probability ู‡ูˆ 0.0092.
1488
+
1489
+ 373
1490
+ 00:34:09,800 --> 00:34:13,160
1491
+ ุจ ุฃูˆ b greater than c equals point zero zero eight
1492
+
1493
+ 374
1494
+ 00:34:13,160 --> 00:34:36,740
1495
+ two ูˆุงุญุฏุฉ ุชุนู…ู„ูŠู‡ุง ุดูˆู
1496
+
1497
+ 375
1498
+ 00:34:36,740 --> 00:34:42,150
1499
+ ุฃูˆู„ ุฎุทูˆุฉ ุญูˆู„ุช one minusู„ุฃู†ู‡ we have greater than
1500
+
1501
+ 376
1502
+ 00:34:42,150 --> 00:34:55,030
1503
+ or equal to C ุงู„ุทุฑูŠู‚ุฉ ูˆุงุญุฏ minus ุงู„ู…ุชูƒู…ู„ุฉ
1504
+
1505
+ 377
1506
+ 00:34:55,030 --> 00:35:00,590
1507
+ ุงู„ู‡ุง nine ุฎู„ุงุต
1508
+
1509
+ 378
1510
+ 00:35:00,590 --> 00:35:03,770
1511
+ ู‡ูŠ ุจู…ูƒุงู†ู‡ุง ูƒุงู†ุช ู…ู† ุงู„ุฃูˆู„ ู†ู†ุชู‚ู„ ู…ู† ู‡ู†ุง ุฅู„ู‰ ู‡ู†ุง ุนู„ู‰
1512
+
1513
+ 379
1514
+ 00:35:03,770 --> 00:35:07,410
1515
+ ุทูˆู„ู‡ุฐู‡ greater than or equal ุงู„ุฃู‚ู„ ู…ู†ู‡ุง ุนู„ู‰ ุทูˆู„
1516
+
1517
+ 380
1518
+ 00:35:07,410 --> 00:35:12,030
1519
+ one minus ูŠุนู†ูŠ ุงู„ุฎุทูˆุฉ ู‡ุฐู‡ ู„ู„ุชูˆุถูŠุญ ูƒูˆูŠุณุฉ ุฅุฐุง ุจุชุณูˆู‰
1520
+
1521
+ 381
1522
+ 00:35:12,030 --> 00:35:20,090
1523
+ point nine nine one eight nine nine ุชุจู‚ู‰
1524
+
1525
+ 382
1526
+ 00:35:20,090 --> 00:35:26,390
1527
+ ุชุณุนุฉ ุตุญ ูˆูˆุงุญุฏ
1528
+
1529
+ 383
1530
+ 00:35:26,390 --> 00:35:27,610
1531
+ ุชู…ุงู†ูŠุฉ ูƒุงู… ู†ู‡ุงุฑ ูˆูˆุงุญุฏ ุชู…ุงู†ูŠุฉ
1532
+
1533
+ 384
1534
+ 00:35:32,790 --> 00:35:38,830
1535
+ ูƒูˆูŠุณุฉ ุฅุฐุง ุญุทุงู„ุฉ ุงู„ู€ z ุงู„ู…ู‚ุงุจู„ุฉ ุฅู„ูŠู‡ุง 9918 ู‡ูŠ 99
1536
+
1537
+ 385
1538
+ 00:35:38,830 --> 00:35:45,130
1539
+ ุฃูˆูŠ ูˆ ู„ุญุธุฉ ุจุงู„ุธุจุท ู‡ูŠ 9918 ูุชู‚ุน ุนุจุงุฑุฉ ุนู† 2.4 ุฅุฐุง ุงู„
1540
+
1541
+ 386
1542
+ 00:35:45,130 --> 00:35:51,790
1543
+ z score 2.4 ุชู…ุงู…
1544
+
1545
+ 387
1546
+ 00:35:51,790 --> 00:35:58,090
1547
+ ุฅุฐุง ุงู„ c minus ุญูˆู„ ุงู„ c ู„ ุงู„ z score ุญูˆู„ ู‡ูŠ ู…ุด ู‡ูŠ
1548
+
1549
+ 388
1550
+ 00:35:58,090 --> 00:36:02,490
1551
+ ุงู„ c ุนู†ุฏู†ุงู‡ุฐู‡ ุงู„ู€ C ุญูˆู„ู‡ุง ุฅู„ู‰ ุงู„ู€ z-score ุจุตูŠุฑ ุงู„ู€
1552
+
1553
+ 389
1554
+ 00:36:02,490 --> 00:36:06,690
1555
+ C minus ุงู„ู€ mean ุชุจุนู‡ุงุŒ ุฎู„ู‘ูŠู‡ุงุŒ ู†ุงู‚ุต ุงู„ู€ mean ุงู„ู„ูŠ
1556
+
1557
+ 390
1558
+ 00:36:06,690 --> 00:36:12,030
1559
+ ู‡ูˆ ุฃุฑุจุนุฉ ู…ู† ุนุดุฑุฉุŒ ุจุงู„ุธุจุท ุชู‚ุณูŠู… sigma ู„ู„ู€ B ุณูˆู‰
1560
+
1561
+ 391
1562
+ 00:36:12,030 --> 00:36:15,150
1563
+ ุงุชู†ูŠู† ูˆ ุฃุฑุจุนุฉุŒ ู…ู…ุชุงุฒุฉุŒ ู„ุญุธุฉุŒ ู…ุงุชุชุด ุนู…ู„ุชุŒ ุจุณ ุฃูƒุชุจ
1564
+
1565
+ 392
1566
+ 00:36:15,150 --> 00:36:20,630
1567
+ ุงู„ Z ู‡ู†ุง ุนู…ู„ุช ู„ุฃุชูŠู†ุŒ ุจุชุญูˆู„ ุงู„ C ุงู„ู„ูŠ ู‡ู†ุง ู„ู„ Z
1568
+
1569
+ 393
1570
+ 00:36:20,630 --> 00:36:25,750
1571
+ -score ูุงู„ู€ C minus ุงู„ Y over sigma ู„ู„ BุŒ ุจุชุณุงูˆูŠ
1572
+
1573
+ 394
1574
+ 00:36:30,660 --> 00:36:36,580
1575
+ ุฃูŠูˆุฉ ูˆ ุชุญุช point zero three four six four four
1576
+
1577
+ 395
1578
+ 00:36:36,580 --> 00:36:45,200
1579
+ four six ุงูŠุด four zero six four ู‡ุฐุง ูƒู„ู‡ ุจูŠุณุงูˆูŠ
1580
+
1581
+ 396
1582
+ 00:36:45,200 --> 00:36:51,040
1583
+ ุงุชู†ูŠู† point ุงุฑุจุนุฉ ูƒูˆูŠุณุฉ
1584
+
1585
+ 397
1586
+ 00:37:05,670 --> 00:37:12,690
1587
+ ุจุทู„ุน point zero eight three point zero zero zero
1588
+
1589
+ 398
1590
+ 00:37:12,690 --> 00:37:28,250
1591
+ eight three ุฎู„ุงุต ุฅุฐุง ู†ุณูŠุจ ุงู„ุณุงูˆูŠุฉ ุฃู…ุชุงุฒ
1592
+
1593
+ 399
1594
+ 00:37:28,250 --> 00:37:30,750
1595
+ ุฃู…ุชุงุฒ ู‡ูŠูƒ ุตุญ
1596
+
1597
+ 400
1598
+ 00:37:35,870 --> 00:37:40,130
1599
+ ุฅุฐุง ู…ู† ุงู„ุฃูˆู„ ุฅุฐุง ูƒุงู†ุช probability of b greater
1600
+
1601
+ 401
1602
+ 00:37:40,130 --> 00:37:43,790
1603
+ than or equal to c equal to 0.0082 ุจุชุทู„ุน ุงู„
1604
+
1605
+ 402
1606
+ 00:37:43,790 --> 00:37:48,670
1607
+ complement ู„ู‡ุง ุชุทู„ุน ุจูŠ of probability of b less
1608
+
1609
+ 403
1610
+ 00:37:48,670 --> 00:37:52,150
1611
+ than or equal to c equal to 0.1-0.0082 which is
1612
+
1613
+ 404
1614
+ 00:37:52,150 --> 00:37:57,870
1615
+ 9918 ู‡ุฐุง ุงู„ step ุฑู‚ู… ูˆุงุญุฏ step ุงู„ุจุนุฏ ุฏู‡ ุจุชุทู„ุน ุงู„ z
1616
+
1617
+ 405
1618
+ 00:37:57,870 --> 00:38:02,690
1619
+ score corresponding to this value 9918 which is 2
1620
+
1621
+ 406
1622
+ 00:38:02,690 --> 00:38:08,610
1623
+ .4ูุทู„ุน ุงู„ Z-score 2.4 ู…ู† 10 ุฅู„ู‰ ุฃู† ุจุฑุฌุน ู„ู„ C
1624
+
1625
+ 407
1626
+ 00:38:08,610 --> 00:38:12,830
1627
+ ุชุจุนุชูŠู† ุจุญูˆู„ู‡ุง ู„ู„ Z-score ุงู„ู„ูŠ ู‡ูŠ ุงู„ C minus ุงู„ ุจูŠ
1628
+
1629
+ 408
1630
+ 00:38:12,830 --> 00:38:16,830
1631
+ ุนู„ู‰ ุงู„ sigma ู„ู„ ุจูŠ ู‡ุฐุง ูƒู„ู‡ ุจุงู„ุณูˆูŠุฉ 2.4 ุฅุฐุง ุงู„ C
1632
+
1633
+ 409
1634
+ 00:38:16,830 --> 00:38:19,890
1635
+ minus ุงู„ ุจูŠ ู‡ูˆ ุงู„ sigma ุงู„ู„ูŠ ุจูŠ ุทู„ุนู†ุงู‡ุง ู…ู† ุงู„ุฃูˆู„
1636
+
1637
+ 410
1638
+ 00:38:19,890 --> 00:38:27,010
1639
+ ุจุนุฏู‡ุง cross multiplication ููŠ ุฃูŠ ุณุคุงู„ุŸ
1640
+
1641
+ 411
1642
+ 00:38:27,010 --> 00:38:31,310
1643
+ ุฃู†ุช ุจูˆุงุญุฏุฉ ุชุนุทูŠู†ูŠ ุณุคุงู„ ู…ุญู„ุฉ
1644
+
1645
+ 412
1646
+ 00:38:34,290 --> 00:38:39,150
1647
+ ูŠุนุทูŠู†ูŠ ุณุคุงู„ ู„ุชุฏุฑูŠุจ ุฃุฎุฑ
1648
+
1649
+ 413
1650
+ 00:38:39,150 --> 00:38:43,910
1651
+ ูˆุงุญุฏุฉ ุชู…ุงู†ุน ุจุฏุฃ ุฃุณุฃู„ ุฅุฐุง ู…ุงุนู†ุฏูƒูŠุด ุฃู†ุง ุจุนุทูŠูƒูŠ ุณุคุงู„
1652
+
1653
+ 414
1654
+ 00:38:43,910 --> 00:38:53,730
1655
+ find
1656
+
1657
+ 415
1658
+ 00:38:53,730 --> 00:38:56,910
1659
+ constant
1660
+
1661
+ 416
1662
+ 00:38:56,910 --> 00:38:59,070
1663
+ C
1664
+
1665
+ 417
1666
+ 00:39:26,290 --> 00:39:33,330
1667
+ ุฎู„ู‘ูŠ ุจุงู„ูƒ ู…ุนุงูŠุง ู‡ุงูŠ minus C ูˆู‡ูŠ plus C 9955
1668
+
1669
+ 418
1670
+ 00:39:33,330 --> 00:39:38,390
1671
+ Now this area is 9955 Now the table gives the area
1672
+
1673
+ 419
1674
+ 00:39:38,390 --> 00:39:43,350
1675
+ to the left ุงู„ู…ุณุงุญู„ ุนู„ู‰ ุงู„ุดู…ุงู„ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„ุงู… ู‡ุฐูŠ
1676
+
1677
+ 420
1678
+ 00:39:44,450 --> 00:39:47,250
1679
+ ุฃูˆ ุงู„ุชุงู†ูŠุฉุŒ ูŠุนู†ูŠ ุฅู…ุง ุนู„ู‰ ูŠุณุงุฑ ุงู„ู€C ุฃูˆ ุงู„ู€ negative
1680
+
1681
+ 421
1682
+ 00:39:47,250 --> 00:39:51,710
1683
+ CุŒ ุงู„ุฅุชู†ูŠู† ุตุญ ุฎุฏ ุงู„ู„ูŠ ุฃู†ุช ุนุงูŠุฒู‡ุง ู„ูˆ ุจุฏุฃ ุฃุฎุฏ ุนู„ู‰
1684
+
1685
+ 422
1686
+ 00:39:51,710 --> 00:39:56,450
1687
+ ูŠุณุงุฑ plus CุŒ ุฅุดุชุจ probability ุนู„ู‰ to the left of C
1688
+
1689
+ 423
1690
+ 00:39:56,450 --> 00:40:02,430
1691
+ ุฅุดุชุจ ุงู„ุณุงุนุฉ ุนู„ู‰ ูŠุณุงุฑ ุงู„ู€C ุฅู„ุงู† ุงู„ู„ูŠ ู‡ู†ุง ุจูŠู†ู‡ู…
1692
+
1693
+ 424
1694
+ 00:40:02,430 --> 00:40:05,810
1695
+ nine, nine, five, fiveุŒ ุฅูŠุด ุจุชุทู‚ุน ุงู†ุฏูŠุŸ ูˆุงุญุฏ ู†ุงู‚ุต
1696
+
1697
+ 425
1698
+ 00:40:05,810 --> 00:40:08,030
1699
+ ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„
1700
+
1701
+ 426
1702
+ 00:40:08,030 --> 00:40:08,170
1703
+ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ ..
1704
+
1705
+ 427
1706
+ 00:40:08,170 --> 00:40:08,350
1707
+ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ ..
1708
+
1709
+ 428
1710
+ 00:40:08,350 --> 00:40:08,870
1711
+ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ ..
1712
+
1713
+ 429
1714
+ 00:40:08,870 --> 00:40:13,080
1715
+ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ .. ูˆุงุฅุฐุง 9 9 5 5 ู‡ุฐุง
1716
+
1717
+ 430
1718
+ 00:40:13,080 --> 00:40:22,940
1719
+ ู…ุชุจู‚ู‰ ุนู†ุฏูŠุŒ ู…ุด ู‡ูŠูƒุŸ ุฅูŠุด ุจุชุทู„ุนุŸ 0045ุŒ ู…ุธุจูˆุทุŸ
1720
+
1721
+ 431
1722
+ 00:40:22,940 --> 00:40:27,960
1723
+ ู‡ุฐุง ู„ู„ุฅุซู†ูŠู† ู…ุน ุจุนุถุŒ ู„ู„ุฅุซู†ูŠู†ุŒ ูˆ ู‡ุฏูˆู„ ุงู„ุฅุซู†ูŠู† ุฒูŠ
1724
+
1725
+ 432
1726
+ 00:40:27,960 --> 00:40:31,440
1727
+ ุจุนุถุŒ ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุฏูŠ symmetric ุนู†ุฏ C ูˆ minus CุŒ
1728
+
1729
+ 433
1730
+ 00:40:31,440 --> 00:40:36,340
1731
+ ุฅุฐุง ู…ุงุนู†ุง ูƒุฏู‡ุŒ ุญุฌุณ ู…ุน ุงุชู†ูŠู† ุฎูŠุงุฑูŠ
1732
+
1733
+ 434
1734
+ 00:40:36,340 --> 00:40:42,850
1735
+ ุฃุฎุฏู‡ุง ุจุงู„ุชู‚ุฑูŠุจุŒ 002 ุชู‚ุฑูŠุจุงุŒ ู…ุด ู‡ูŠูƒุŸู…ุด ู…ุดูƒู„ุฉ ูŠุนู†ูŠ
1736
+
1737
+ 435
1738
+ 00:40:42,850 --> 00:40:51,110
1739
+ ู…ุด ู‡ุชูุฑู‚ ูƒุชูŠุฑ ุฅุฐุง ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ู‡ูŠูƒ ุชู‚ุฑูŠุจุง ู‡ูˆ
1740
+
1741
+ 436
1742
+ 00:40:51,110 --> 00:40:57,190
1743
+ ุจุงู„ุธุจุท 225 ู…ุด ู‡ูŠูƒ ุงู„ probability to the left of C
1744
+
1745
+ 437
1746
+ 00:40:57,190 --> 00:41:01,050
1747
+ ุงู„ุขู† ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ู‡ุชุณุงูˆูŠ ุงู„ู‚ู…ุชูŠู† ู‡ุฏูˆู„ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ
1748
+
1749
+ 438
1750
+ 00:41:01,050 --> 00:41:11,450
1751
+ ู‡ูŠ point 9955 ูˆู‚ุฏุงุดุฑ ูˆ 0022 ู…ุด ู‡ูŠูƒ ุงุฌู…ุนูŠู‡ู…ุฅู† ุดุงุก
1752
+
1753
+ 439
1754
+ 00:41:11,450 --> 00:41:18,850
1755
+ ุงู„ู„ู‡ ุณุงู…ุญูƒ ูˆุงุญุฏ ูƒู„ู‡ุง ู†ุงู‚ุต ู‡ุฐู‡ ุฃู‚ู„ ู…ู† C ุจุชู…ุงู…
1756
+
1757
+ 440
1758
+ 00:41:18,850 --> 00:41:23,570
1759
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฃูˆ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ..
1760
+
1761
+ 441
1762
+ 00:41:23,570 --> 00:41:26,690
1763
+ ุงู„ุญูƒุงูŠุฉ ู…ู…ูƒู† ู„ู„ุณุงู„ุจ ู…ู…ูƒู† ู„ู„ู…ูˆุฌุจ ุฎู„ูŠู†ูŠ ุนู„ู‰ ุงู„ู…ูˆุฌุจ
1764
+
1765
+ 442
1766
+ 00:41:26,690 --> 00:41:31,330
1767
+ ุงู„ probability of B less than or equal to C 9977
1768
+
1769
+ 443
1770
+ 00:41:31,330 --> 00:41:34,190
1771
+ ุฅูŠุด ุจุชุทู„ุน ุฅู„ู‰ ู…ุซู„ุฉ ุชุชุญูˆู„ ุฅุฒุงูŠ ู„ู…ุซู„ุฉ ุญู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„
1772
+
1773
+ 444
1774
+ 00:41:34,190 --> 00:41:40,430
1775
+ ู†ูุณ ุงู„ุณุคุงู„ ุฅูŠุด Z score ู…ู‚ุงุจู„ 9977ู†ุดูˆู ุฃู‚ุฑุจ ุญุงุฌุฉ
1776
+
1777
+ 445
1778
+ 00:41:40,430 --> 00:41:45,650
1779
+ ู…ูˆุฌูˆุฏุฉ ุชู„ุนุจ ุงู„ุฌุฏูˆู„ 9977
1780
+
1781
+ 446
1782
+ 00:41:45,650 --> 00:41:50,090
1783
+ 2.8 ุชุญุช
1784
+
1785
+ 447
1786
+ 00:41:50,090 --> 00:41:58,770
1787
+ ุงู„ุชู„ุงุชุฉ ุฅุฐู† ุงู„ู€ z ุจุชุณุงูˆูŠ 2 ุชุจู‚ู‰ ู„ู‡ุง ุชู„ุงุชุฉุŒ ู…ุธุจูˆุทุŸ
1788
+
1789
+ 448
1790
+ 00:41:58,770 --> 00:42:01,610
1791
+ ุฅุฐุง ู…ุน ูƒุฏู‡ ุงู„ู€ c minus ุงู„ู€ pi
1792
+
1793
+ 449
1794
+ 00:42:04,580 --> 00:42:12,200
1795
+ ุนุงู„ู€ Sigma ุงู„ู„ูŠ ู‡ูŠ 0.3464 equals 2.83 ุฅุฐุง ุจุทู„ุน ุงู„
1796
+
1797
+ 450
1798
+ 00:42:12,200 --> 00:42:16,920
1799
+ C ุฒูŠ ู…ุง ุนู…ู„ู†ุง ููŠ ุงู„ุฃูˆู„ ุจุทู„ุน C equal 0.4 plus ู‡ุงูŠ
1800
+
1801
+ 451
1802
+ 00:42:16,920 --> 00:42:24,260
1803
+ ุงู„ Z times Sigma of B ุจุทู„ุน ุงู„ุฌูˆุงุจ ุทุจุนุง ู‡ุทู„ุน ู…ุนุงูŠุง
1804
+
1805
+ 452
1806
+ 00:42:24,260 --> 00:42:28,340
1807
+ ุงู„ positive C ุงู„ู„ูŠ ู‡ูŠ T.3
1808
+
1809
+ 453
1810
+ 00:42:33,830 --> 00:42:39,790
1811
+ ุฒูŠ 0.498
1812
+
1813
+ 454
1814
+ 00:42:39,790 --> 00:42:49,070
1815
+ ุฅุฐุง
1816
+
1817
+ 455
1818
+ 00:42:49,070 --> 00:42:52,050
1819
+ ุงู„ุฃููƒุงุฑ ูˆุงุญุฏุฉ
1820
+
1821
+ 456
1822
+ 00:43:01,520 --> 00:43:04,620
1823
+ ุจุฑุถู‡ ู„ูˆ ุงุณุชุฎุฏู…ุช ุงู„ู€ area to the left of negative C
1824
+
1825
+ 457
1826
+ 00:43:04,620 --> 00:43:10,160
1827
+ ู‡ูŠุทู„ุน ู…ุนุงูƒ ู†ูุณ ุงู„ุฅุฌุงุจุฉ any question? next time you
1828
+
1829
+ 458
1830
+ 00:43:10,160 --> 00:43:13,000
1831
+ should start chapter 9
1832
+
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PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/Wo7DhCHH8uM_raw.srt ADDED
@@ -0,0 +1,1244 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:22,890
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… we will
4
+
5
+ 2
6
+ 00:00:22,890 --> 00:00:28,870
7
+ finish this course I will give some practice
8
+
9
+ 3
10
+ 00:00:28,870 --> 00:00:34,050
11
+ problems for chapter 11 let's start with the one
12
+
13
+ 4
14
+ 00:00:34,050 --> 00:00:38,270
15
+ you didn't do in the session ุงูŠุด ู…ุงุฎุฏุชูˆุด ููŠ ุงู„
16
+
17
+ 5
18
+ 00:00:38,270 --> 00:00:42,490
19
+ session ู†ุญู„ ู…ุน ุจุนุถ ู†ุญู„ูŠ 11
20
+
21
+ 6
22
+ 00:00:51,060 --> 00:00:55,780
23
+ ุงู„ุณุคุงู„ ู‡ูŠ ุฏู‡ ู…ุด ู‡ูŠ ุทุจ
24
+
25
+ 7
26
+ 00:00:55,780 --> 00:00:59,660
27
+ 1111 ุณุคุงู„ ูŠุนู†ูŠ ุจูŠุงุฎุฏ ุชู‚ุฑูŠุจุง ู…ุนุธู… ุงู„ุฌุฒูŠุงุช ุงู„ู„ูŠ ุงุญู†ุง
28
+
29
+ 8
30
+ 00:00:59,660 --> 00:01:05,860
31
+ ุนุงูŠุฒูŠู†ู‡ุง ุจูŠุญูƒูŠ the director of admissions at state
32
+
33
+ 9
34
+ 00:01:05,860 --> 00:01:09,360
35
+ college is interested in seeing if admissions
36
+
37
+ 10
38
+ 00:01:09,360 --> 00:01:15,300
39
+ status ุงู„ admission status ู‡ุชูƒู„ู… ุนู† admission
40
+
41
+ 11
42
+ 00:01:23,650 --> 00:01:27,910
43
+ admission status has
44
+
45
+ 12
46
+ 00:01:27,910 --> 00:01:31,970
47
+ three types ุงู…ุง admitted ุชุนุฑู ุงุญู†ุง ู…ู‚ุฏู… ู„ู„ุฌุงู…ุนุฉ
48
+
49
+ 13
50
+ 00:01:31,970 --> 00:01:39,570
51
+ ุงู…ุง ูŠู‚ุจู„ ูŠุนู†ูŠ admitted ุงูˆ
52
+
53
+ 14
54
+ 00:01:39,570 --> 00:01:47,830
55
+ ูŠูƒูˆู† ููŠ ุงู„ waiting list ุงูˆ
56
+
57
+ 15
58
+ 00:01:47,830 --> 00:01:50,990
59
+ ูŠูƒูˆู† denied admission
60
+
61
+ 16
62
+ 00:01:54,630 --> 00:01:57,810
63
+ ู‡ุฏูˆู„ ุงู„ .. ู‡ุฏูˆู„ ุงู„ status ู„ุฃูŠ ูˆุงุญุฏ ุจูŠู‚ุฏู… ู„ู„ุฌุงู…ุนุฉ
64
+
65
+ 17
66
+ 00:01:57,810 --> 00:02:01,590
67
+ ุฅู…ุง ูŠู‚ุจู„ ุฃูˆ ูŠูƒูˆู† ุนู„ู‰ ุงู„ waiting list ูŠุนู†ูŠ ู…ู…ูƒู†
68
+
69
+ 18
70
+ 00:02:01,590 --> 00:02:05,590
71
+ ูŠุชุตู„ูˆุง ููŠู‡ ุจุนุฏูŠู† ุฃูˆ ูŠุชู… denied ู„ู„ .. ุงู„ admission
72
+
73
+ 19
74
+ 00:02:05,590 --> 00:02:10,250
75
+ ุทุจุนุง ูŠุนู†ูŠ ุชู… ุฑูุถ ุงู„ admission ุทุจุนุง at his college
76
+
77
+ 20
78
+ 00:02:10,250 --> 00:02:13,270
79
+ is independent ุงู„ director ุจูŠุญูƒูŠ ุฃู† ุงู„ admission
80
+
81
+ 21
82
+ 00:02:13,270 --> 00:02:21,680
83
+ status ู‡ุฐุง ุฃูˆู„ variable is independentof the type
84
+
85
+ 22
86
+ 00:02:21,680 --> 00:02:25,820
87
+ of community in which the applicant resides he
88
+
89
+ 23
90
+ 00:02:25,820 --> 00:02:30,040
91
+ takes a sample of recent admissions decisions and
92
+
93
+ 24
94
+ 00:02:30,040 --> 00:02:34,180
95
+ forms the following table ุงู„ุงู† ูˆูŠู† ู‡ูˆ ู…ูˆุฌูˆุฏ ูˆูŠู†
96
+
97
+ 25
98
+ 00:02:34,180 --> 00:02:42,980
99
+ ุจูŠุณูƒู† ู‡ุฐู‡ ุงู„ three types ุงู…ุง urban ูŠุนู†ูŠ
100
+
101
+ 26
102
+ 00:02:42,980 --> 00:02:51,560
103
+ ุณุงูƒู† ููŠ ุงู„ู…ุฏูŠู†ุฉ ู†ูุชุฑุถ ุงูˆ rural ุงูˆ sub urbanูŠุนู†ูŠ ููŠ
104
+
105
+ 27
106
+ 00:02:51,560 --> 00:02:58,780
107
+ ุงู„ุถูˆุงุญูŠ ุงู„ุจู„ุฏ ุงู„ุงู†
108
+
109
+ 28
110
+ 00:02:58,780 --> 00:03:04,200
111
+ ู‡ูˆ ุณูŠุณุชุฎุฏู… ู‡ุฐุง ุงู„ุทุงุจู‚ ู„ุชุฌุงุฑุจ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช ุงูƒูŠุฏ
112
+
113
+ 29
114
+ 00:03:04,200 --> 00:03:08,460
115
+ ุงุญู†ุง ุณู†ุณุชุฎุฏู… ูƒุงูŠ ุณูƒูˆุงุฑ ูƒุงูŠ ุณูƒูˆุงุฑ ู„ุฏูŠู†ุง ุงุซู†ูŠู† ู†ูˆุน
116
+
117
+ 30
118
+ 00:03:08,460 --> 00:03:11,400
119
+ ู…ู† ูƒุงูŠ ุณูƒูˆุงุฑ ูˆุงุญุฏ ูƒุงูŠ ุณูƒูˆุงุฑ ู„ู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงุซู†ูŠู†
120
+
121
+ 31
122
+ 00:03:11,400 --> 00:03:16,280
123
+ ู…ู‚ุงุฑู†ุฉ ู…ุธุจูˆุท ูˆุงุฎุฑ ูˆุงุญุฏ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช ู…ุณุชู‚ู„ ุนู†ุฏู…ุง
124
+
125
+ 32
126
+ 00:03:16,280 --> 00:03:19,320
127
+ ูŠูƒูˆู† ู„ุฏูŠู†ุง ุงูƒุชุฑ ู…ู† ุงุซู†ูŠู†ุงู„ู€ categories when we
128
+
129
+ 33
130
+ 00:03:19,320 --> 00:03:22,220
131
+ have three by three ุจู†ุณุชุฎุฏู… ุงู„ู€ chi-square of
132
+
133
+ 34
134
+ 00:03:22,220 --> 00:03:25,900
135
+ independence ู…ุด ู‡ูŠูƒ ุฃู†ุง ุดุฑุญุช ุงู„ู„ู‚ุงุก ูƒุงู…ู„ ุนู„ู‰ chi
136
+
137
+ 35
138
+ 00:03:25,900 --> 00:03:29,220
139
+ -square ู„ difference between two proportions ุจุนุฏู‡ุง
140
+
141
+ 36
142
+ 00:03:29,220 --> 00:03:32,380
143
+ ุนู…ู„ู†ุง extension ู„ู„ result ูˆุงุฎุฏู†ุงู‡ุง if we have more
144
+
145
+ 37
146
+ 00:03:32,380 --> 00:03:35,680
147
+ than two groups ุงู„ more than two groups ุณู…ูŠู‡ุง chi
148
+
149
+ 38
150
+ 00:03:35,680 --> 00:03:38,880
151
+ -square test of independence chi-square ู„ุงุณุชู‚ู„ุงู„
152
+
153
+ 39
154
+ 00:03:38,880 --> 00:03:41,760
155
+ ูˆุงุถุญ ุงู„ุฃูˆู„ูŠุงู† ุงู„ chi-square ู„ู„ูุฑู‚ ุจูŠู† two
156
+
157
+ 40
158
+ 00:03:41,760 --> 00:03:44,760
159
+ proportions ุงู„ู„ูŠ ุจู†ุญู„ู‡ ู…ู…ูƒู† ุนู„ู‰ chapter ุนุดุฑ ุงู„ู„ูŠ
160
+
161
+ 41
162
+ 00:03:44,760 --> 00:03:48,390
163
+ ุฃุฎุฏู†ุงู‡ ู‚ุจู„ ู‡ูŠูƒูู‡ูˆ ุงู„ุฃู† ุฃูƒูŠุฏ ู‡ูŠุณุชุฎุฏู… k-squared test
164
+
165
+ 42
166
+ 00:03:48,390 --> 00:03:53,210
167
+ of independence with alpha level of significance
168
+
169
+ 43
170
+ 00:03:53,210 --> 00:03:58,330
171
+ to be one percent ุฎู„ุงุต
172
+
173
+ 44
174
+ 00:03:58,330 --> 00:04:05,450
175
+ ุฅุฐุง ู‡ูˆ ุงู„ุขู† either ุงู„ sites ู‡ู†ุง ูˆูŠู† ู…ูˆุฌูˆุฏ ูˆุญูƒุง
176
+
177
+ 45
178
+ 00:04:05,450 --> 00:04:07,570
179
+ ู…ูˆุฌูˆุฏ ููŠ ูˆุงุญุฏุฉ ู…ู† ุงู„ุชู„ุงุชุฉ ู‡ุฐูˆู„ ุงู„ุขู† ุงู„ุณุคุงู„ ุงู„ุฃูˆู„
180
+
181
+ 46
182
+ 00:04:07,570 --> 00:04:14,950
183
+ the null ุฃูุดูˆ ุจู‚ุฏุฑุด ุฃุญู„ ุณุคุงู„ 19ุงู„ู„ูŠ ู‡ูƒูˆู† ุญู„ ุงู„ุญุงุฌุฉ
184
+
185
+ 47
186
+ 00:04:14,950 --> 00:04:16,950
187
+ ู‚ุจู„ ู‡ูŠูƒ ู„ุฃู† ุจูŠุญูƒูŠ that none of the hypothesis will
188
+
189
+ 48
190
+ 00:04:16,950 --> 00:04:23,510
191
+ be rejected ุงูŠ ู†ู„ู‚ู‰ ู„ุฃ ู…ุงููŠ ู„ุฃ ู„ุงุฒู… ูˆ ู„ุง .. ูƒุฏู‡
192
+
193
+ 49
194
+ 00:04:23,510 --> 00:04:29,310
195
+ ุญู„ู‡ ุจู†ูุน ุฃุญู„ู‡ ู„ุงุฒู…
196
+
197
+ 50
198
+ 00:04:29,310 --> 00:04:32,610
199
+ .. ู„ุงุฒู… ุฃู…ุดูŠ ุนู„ู‰ ู‡ุฐุง ููŠ ุงู„ุฃูˆู„ ู„ุงุฒู… ู‡ุฐุง ุงู„ุณุคุงู„ ุงู„ู„ูŠ
200
+
201
+ 51
202
+ 00:04:32,610 --> 00:04:38,830
203
+ ุจูŠุชุจุนู‡ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ูุงุช ูู„ุงู† ุงู„ุณุคุงู„ ู‡ุฐุง ู‡ูŠู‡ ุนุดุงู†
204
+
205
+ 52
206
+ 00:04:38,830 --> 00:04:42,430
207
+ ุฃุนู…ู„ reject ูˆู„ุง not reject ู„ุงุฒู… ุฃุนุฑู ู‚ูŠู…ุฉ ุงู„ chi
208
+
209
+ 53
210
+ 00:04:42,430 --> 00:04:47,260
211
+ -squareุงู„ุณุชุงุชูŠุณุชูƒ ู…ุด ู‡ูŠูƒ ุงู„ table ุฒูŠ ู‡ูŠูƒ ุจุชุทู„ุนู„ู‡
212
+
213
+ 54
214
+ 00:04:47,260 --> 00:04:54,040
215
+ ู…ูŠู† ุงู„ Kยฒ ุงู„ุณุชุงุช ู…ุธุจูˆุท ุญุณุจุชูˆู‡ุง ู‚ุจู„ ู‡ูŠูƒ ุงู„ุณุคุงู„ 6
216
+
217
+ 55
218
+ 00:04:54,040 --> 00:04:59,960
219
+ ุญู„ุชู‡ ุงูŠุด ุงู„ุฌูˆุงุจ ุชุจุนู‡ 66
220
+
221
+ 56
222
+ 00:04:59,960 --> 00:05:04,980
223
+ ู‡ุฐุง Kยฒ ุงู„ุณุชุงุชูŠุณุชูƒ ู‡ุฐุง ู„ุงุฒู… ุฃุทู„ุนู‡ุง ุทุจ ูƒูŠู ุฃุทู„ุนู‡ุง
224
+
225
+ 57
226
+ 00:05:04,980 --> 00:05:08,880
227
+ ุจุงู„ู‚ุงู†ูˆู† ุงู„ุนุงุฏู‰ ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุฎู„ุงุต
228
+
229
+ 58
230
+ 00:05:08,880 --> 00:05:13,600
231
+ ุฅุฐุง ู‡ุฐู‡ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆุจุฑุถู‡ุนู†ุฏูŠ ุงู„ุงู† ุงู…ุง ุจุชุทู„ุน ู„ู€
232
+
233
+ 59
234
+ 00:05:13,600 --> 00:05:24,280
235
+ critical point ูƒุงูŠ ุณูƒูˆูŠุฑ Alpha ุนู†ุฏูŠ F ุงู„ู€ Alpha
236
+
237
+ 60
238
+ 00:05:24,280 --> 00:05:27,260
239
+ one percent is okay ุทุจ ุงู„ degrees of freedom ูƒุฏู‡ุŸ
240
+
241
+ 61
242
+ 00:05:27,260 --> 00:05:34,520
243
+ ู„ูŠู‡ R minus oneC-1 ูˆุงุถุญ ุนู†ุฏู‰ ุงู„ table ู†ุณู…ูŠู‡ three
244
+
245
+ 62
246
+ 00:05:34,520 --> 00:05:38,620
247
+ by three ู…ุธุจูˆุท ู„ู…ุง ููŠู‡ ุนู†ุฏู‰ three rows ูˆthree
248
+
249
+ 63
250
+ 00:05:38,620 --> 00:05:42,000
251
+ columns ุงุฐุง three by three table ู„ู…ุง ูŠูƒูˆู† three by
252
+
253
+ 64
254
+ 00:05:42,000 --> 00:05:47,440
255
+ three ุงู„ degrees of them ู…ุด ู…ุชุณุงูˆูŠ four ุงู‡ ุชุตุญู‰
256
+
257
+ 65
258
+ 00:05:47,440 --> 00:05:58,880
259
+ ุงู„ู„ู‰ ุฌู†ุจูƒ ุตุญูŠู‡ ุงุฐุง ุงุฑุจุนุฉ ูุทู„ุน ูƒุฃุณ ูƒูˆูŠุฑ ูˆุงุญุฏ
260
+
261
+ 66
262
+ 00:05:58,880 --> 00:06:05,530
263
+ ู…ู† ู…ูŠุง ุนู†ุฏ ุงู„ุฃุฑุจุนุฉู…ุงุฐุง ุชุธู‡ุฑ ู…ู† ุงู„ู€ tableุŸ ู‡ุฐู‡ ุงู„ู€
264
+
265
+ 67
266
+ 00:06:05,530 --> 00:06:14,970
267
+ table ุงู„ู„ูŠ ู…ุนุงูƒ ุทูŠุจ
268
+
269
+ 68
270
+ 00:06:14,970 --> 00:06:18,710
271
+ 13.18 ุฅุฐุง ู‡ุงูŠ four degrees of freedom ุจู…ุดูŠ ู„ุบุงูŠุฉ
272
+
273
+ 69
274
+ 00:06:18,710 --> 00:06:26,770
275
+ ุงู„ one percent 13.18 ู…ุนู†ุงูƒ
276
+
277
+ 70
278
+ 00:06:26,770 --> 00:06:35,530
279
+ ุฏู‡ ู‡ุงูŠ square tableุฃุนุทุงู†ูŠ 13.18 ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุตุฉ
280
+
281
+ 71
282
+ 00:06:35,530 --> 00:06:44,810
283
+ ู…ู† 13.18 ุฅู„ู‰ ุงู„ุงู†ูุนุงุฑ ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‚ูŠู…ุฉ
284
+
285
+ 72
286
+ 00:06:44,810 --> 00:06:53,470
287
+ ูƒุงูŠูุณูƒูˆูŠุฑ 12.66 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุชุชู„ู‚ู‰ ููŠ ุงู„ู…ู†ุทู‚ุฉ
288
+
289
+ 73
290
+ 00:06:53,470 --> 00:06:57,860
291
+ ุงู„ุชุฎู„ุตุฉ ุฃูˆ ู„ุง ุชุชู„ู‚ู‰ูˆุงุถุญูŠุฉ ููŠ ุงู„ู€ non-rejection
292
+
293
+ 74
294
+ 00:06:57,860 --> 00:07:02,700
295
+ region ุฅุฐุง ุงู„ู‚ุฑุงุฑ ูŠุนูŠุดุŒ we don't reject ุฅุฐุง ุงู„ู€
296
+
297
+ 75
298
+ 00:07:02,700 --> 00:07:10,040
299
+ null hypothesis ุฅู† ุงู„ู€ two variables are
300
+
301
+ 76
302
+ 00:07:10,040 --> 00:07:17,600
303
+ independent ุฅุฐุง
304
+
305
+ 77
306
+ 00:07:17,600 --> 00:07:18,980
307
+ ุงู„ู€ sensor K square value
308
+
309
+ 78
310
+ 00:07:21,650 --> 00:07:27,550
311
+ ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ุณุชูŠุณุชูŠูƒ 12.66 ุฃู‚ู„ ู…ู† ุงู„ู†ู‚ุทุฉ ุงู„ุฑุฆูŠุณูŠุฉ
312
+
313
+ 79
314
+ 00:07:27,550 --> 00:07:38,030
315
+ 13.28 ู„ุฐุง ู‚ุฑุงุฑูŠ ู‡ูˆ ู„ุง ุชู†ุฌุญ ุฃูˆ ุชู†ุฌุญ ููŠ ุชู†ุฌุญ H0
316
+
317
+ 80
318
+ 00:07:38,030 --> 00:07:50,030
319
+ ู†ุนูˆุฏ
320
+
321
+ 81
322
+ 00:07:50,030 --> 00:07:50,990
323
+ ุชุงู†ูŠ ู„ุณุคุงู„ู†ุง
324
+
325
+ 82
326
+ 00:07:56,010 --> 00:07:58,430
327
+ ุฅุฐุง ุงู†ุชุธุฑู†ุง ู„ู€ hypothesis will be rejectedุŒ ุฅุฌุงุจุฉ
328
+
329
+ 83
330
+ 00:07:58,430 --> 00:08:06,610
331
+ ุงูŠุดุŸ false ุงู„ู€ 20ุŒ ุงู„ู€ B value of this test is
332
+
333
+ 84
334
+ 00:08:06,610 --> 00:08:11,710
335
+ greater than one percent ุจูŠุญูƒูŠ ุงู„ู€ B value ุฃูƒุชุฑ ู…ู†
336
+
337
+ 85
338
+ 00:08:11,710 --> 00:08:18,170
339
+ ูˆุงุญุฏ ุชู„ู…ูŠู‡ุŒ ุจุชุณุฃู„ูƒ ู„ู…ุง ุฃู†ุง ุญู„ูŠุช 19ุŒ ุทู„ุน ุงู„ู‚ุฑุงุฑ
340
+
341
+ 86
342
+ 00:08:18,170 --> 00:08:22,830
343
+ don't reject zeroุงู„ู„ูŠ ุฃู†ุง ุจุณุฃู„ู†ู‰ ุงู„ B value ุงู„ู„ูŠ
344
+
345
+ 87
346
+ 00:08:22,830 --> 00:08:26,270
347
+ ู„ุฏู‰ ู„ุงุฎุชุจุงุฑ is greater than one percent ู…ุนู†ุงู‡ ู„ุงุฒู…
348
+
349
+ 88
350
+ 00:08:26,270 --> 00:08:31,430
351
+ ุฃุญุณุจ ุงู„ B value ูˆู„ุง ู…ุด ุจุงู„ุถุฑูˆุฑุฉุŸ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุทุงู„ู…ุง
352
+
353
+ 89
354
+ 00:08:31,430 --> 00:08:35,170
355
+ we don't reject ุงู„ zero it means my B value is
356
+
357
+ 90
358
+ 00:08:35,170 --> 00:08:39,810
359
+ greater than alpha ู…ู† ุบูŠุฑ ู…ุญุณุจ ุงุฐุง since we don't
360
+
361
+ 91
362
+ 00:08:39,810 --> 00:08:43,890
363
+ reject ุงู„ zero this means my B value should be
364
+
365
+ 92
366
+ 00:08:43,890 --> 00:08:47,690
367
+ greater than the level of significanceู…ุด ุฏูŠ ู‚ุถุงูŠุง
368
+
369
+ 93
370
+ 00:08:47,690 --> 00:08:52,050
371
+ ูˆู‚ุช ุจุญุณุจู‡ ู„ูˆ ุญูƒุงู„ุฉ ูŠุญุณุจ ุงู„ู€ P value ุจุญุณุจู‡ุง ุชูƒูˆู†
372
+
373
+ 94
374
+ 00:08:52,050 --> 00:08:55,650
375
+ ู…ุฌุฑุฏ true or false ุจุงู„ุชุงู„ูŠ P value of this is
376
+
377
+ 95
378
+ 00:08:55,650 --> 00:09:01,330
379
+ greater than one percent ู†ุนู… true ุฎู„ุงุต ู„ูƒู† ุฃู†ุง
380
+
381
+ 96
382
+ 00:09:01,330 --> 00:09:06,430
383
+ ู…ู…ูƒู† ุฃุญุณุจู‡ุง ู…ู…ูƒู† ุฃุญุณุจู‡ุง ุจุฑุถู‡ ุฃุญุณุจู„ูƒูŠุง ุนู„ู‰ ุณู„ุณุฉ
384
+
385
+ 97
386
+ 00:09:06,430 --> 00:09:09,530
387
+ ุชุนูˆุจุฉ ุฏู‡ ุฃุญุณุจู„ูƒูŠุง ู‡ู†ุง ุจุดุบู„ ุตุบูŠุฑ ุงู„ P value ู…ุด
388
+
389
+ 98
390
+ 00:09:09,530 --> 00:09:18,740
391
+ ู…ุชุณุงูˆูŠ ู„ probability ุฃูƒุจุฑ ู…ู† ู…ูŠู†ุฃูƒุจุฑ ุงู„ู€ 12.66 ูˆู„ุง
392
+
393
+ 99
394
+ 00:09:18,740 --> 00:09:23,880
395
+ ุงู„ู€ 13 ุฏุงุฆู…ุง ู…ุง ุจุทู„ุน ุงู„ B value ู„ู„ุงุฎุชุจุงุฑ ุงู„ู€ K
396
+
397
+ 100
398
+ 00:09:23,880 --> 00:09:29,660
399
+ square ุงู„ statistic 12.66 ุทุจุนุง
400
+
401
+ 101
402
+ 00:09:29,660 --> 00:09:33,900
403
+ ุงู„ table ู…ุด ู‡ูŠุนุทูŠู†ูŠ ุงู„ exact answer ู„ุง ููŠ ุงู„ T ูˆู„ุง
404
+
405
+ 102
406
+ 00:09:33,900 --> 00:09:41,000
407
+ ููŠ ุงู„ K square ูุจุทู„ุน ุงู„ approximate answer ุทู„ุน
408
+
409
+ 103
410
+ 00:09:41,000 --> 00:09:46,420
411
+ ู‡ุงูŠ ุงู„ tableุจุชุทู„ุน ุงู†ุช 4 degrees of freedom ุนู„ู‰ ุงู„
412
+
413
+ 104
414
+ 00:09:46,420 --> 00:09:56,780
415
+ value of 12.66 ูˆุงุถุญ ุงู† ุงู„ answer ู„ูŠุณ ู…ูˆุฌูˆุฏ ู„ูƒู†
416
+
417
+ 105
418
+ 00:09:56,780 --> 00:10:04,760
419
+ ู…ูˆุฌูˆุฏ ุจูŠู† 11.57 ู…ุธุจูˆุท ูˆ ู„ุณู‡ ุงู†ุง ุนุงูŠุฒ ุงู„ 12 ู…ููŠุด 12
420
+
421
+ 106
422
+ 00:10:04,760 --> 00:10:09,770
423
+ ููŠ 13.28 ูุงู„ 12 ู…ูˆุฌูˆุฏ ุจูŠู† ุงู„ ุงุชู†ูŠู† ู‡ุฏูˆู„ู…ุนู†ุงู‡ ูƒุฏู‡
424
+
425
+ 107
426
+ 00:10:09,770 --> 00:10:14,250
427
+ ุงู„ู€ P value ุจุชุงุนุชูŠ ุจูŠู† 1% ูˆ 2% ุฎู„ุงุตุŒ ุฅุฐุง ุงู„ P
428
+
429
+ 108
430
+ 00:10:14,250 --> 00:10:20,890
431
+ value ุฃู†ุช ุจุชุฎุชู„ุนู‡ุง between
432
+
433
+ 109
434
+ 00:10:20,890 --> 00:10:25,870
435
+ one and two percent ุฅุฐุง
436
+
437
+ 110
438
+ 00:10:25,870 --> 00:10:28,230
439
+ ู‡ูŠ ู…ุญุตูˆุฑุฉ ุจูŠู† ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ู„ูƒู†
440
+
441
+ 111
442
+ 00:10:28,230 --> 00:10:31,250
443
+ exact answer ุจูŠู‚ุฏุฑุด ุชุทู„ุนู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุชุงุจุน ูŠุนู†ูŠ ู„ูˆ
444
+
445
+ 112
446
+ 00:10:31,250 --> 00:10:34,290
447
+ ุฃุชุทู„ุจ ู…ู†ูŠ ุฃุญุณุจ ุงู„ P value ูƒู„ ู…ุง ุจูƒุชุจู‡ ุฃู† ุงู„ P
448
+
449
+ 113
450
+ 00:10:34,290 --> 00:10:40,410
451
+ value between one percent and two percentุงู„ู„ูŠ ุจุนุฏู‡
452
+
453
+ 114
454
+ 00:10:40,410 --> 00:10:47,730
455
+ ุงู„ู€ 21 ุงู„ุงู†
456
+
457
+ 115
458
+ 00:10:47,730 --> 00:10:51,670
459
+ ุนู„ู‰ ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ู‚ุฑุงุฑ ุทู„ุน don't reject the zero
460
+
461
+ 116
462
+ 00:10:51,670 --> 00:10:58,630
463
+ ูุจูŠุณุฃู„ the decision made suggest thatadmission
464
+
465
+ 117
466
+ 00:10:58,630 --> 00:11:02,410
467
+ status at college is independent of the type of
468
+
469
+ 118
470
+ 00:11:02,410 --> 00:11:06,710
471
+ community in which an applicant resides ุงุชู†ูŠู†
472
+
473
+ 119
474
+ 00:11:06,710 --> 00:11:11,430
475
+ ู…ุณุชู‚ู„ูŠู† ุนู† ุจุนุถ ุตุญ ูˆู„ุง ู…ุด ุตุญ ุงุญู†ุง we don't reject
476
+
477
+ 120
478
+ 00:11:11,430 --> 00:11:17,650
479
+ ุงู„ zero ู…ุนู†ุงู‡ don't reject ูŠุนู†ูŠ ุงู„ zero is okay H0
480
+
481
+ 121
482
+ 00:11:17,650 --> 00:11:20,250
483
+ states the two variables of interest are
484
+
485
+ 122
486
+ 00:11:20,250 --> 00:11:24,630
487
+ independent ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ู‚ุฑุงุฑ ู…ุงู„ู‡ ุงู„ suggestion
488
+
489
+ 123
490
+ 00:11:24,630 --> 00:11:29,580
491
+ ู‡ู†ุง ุงู† ุงุชู†ูŠู† independent ุงู„ูƒู„ุงู… ู‡ุฐุง ู…ุงู„ู‡true ู‡ุฐุง
492
+
493
+ 124
494
+ 00:11:29,580 --> 00:11:33,300
495
+ ุตุญูŠุญ ูˆุงุถุญ ู„ุฃู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุจูŠุญูƒูŠ they are
496
+
497
+ 125
498
+ 00:11:33,300 --> 00:11:38,840
499
+ independentุŒ isn't it trueุŸ
500
+
501
+ 126
502
+ 00:11:38,840 --> 00:11:47,840
503
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃูŠ ุณุคุงู„ุŒ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุงู„ู€ 22 ุงู„ุงุฎุชุตุงุฑ
504
+
505
+ 127
506
+ 00:11:47,840 --> 00:11:52,980
507
+ ุงู„ู„ูŠ ู†ูุณู‡ ุณูŠูƒูˆู† ู…ุฌุฑุฏ ู‡ุฐุง ุงู„ุงุฎุชุตุงุฑ ุฅุฐุง ูƒุงู† ู…ุณุชูˆู‰
508
+
509
+ 128
510
+ 00:11:52,980 --> 00:12:01,840
511
+ ุงู„ู…ุนู†ู‰ 5 ุฃู„ูู„ูˆ ุฎุฏุช ุงู„ู€ Alpha 005
512
+
513
+ 129
514
+ 00:12:01,840 --> 00:12:10,040
515
+ ู†ุญู† ู„ุณู†ุง ู†ุฑูุถ ุนู„ู‰ ู…ุณุชูˆู‰ ู…ูŠุฒุงู†ูŠุฉ 1% ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ
516
+
517
+ 130
518
+ 00:12:10,040 --> 00:12:15,940
519
+ ู‡ู„ ู„ุง ุชุฑูุถ ุนู„ู‰ ุฃูŠ ู…ุณุชูˆู‰ ุฃู‚ู„ ู…ู† AlphaุŸ ุฅุฐุง ุฃู†ุง
520
+
521
+ 131
522
+ 00:12:15,940 --> 00:12:22,760
523
+ ู…ุฑูุถุด 1% ูŠุนู†ูŠ ุงู„ value ุชุจุนุชูŠ ุฃูƒุจุฑ ู…ู† 1% ู‡ู„ ู‡ุฐู‡ ู†ูุณ
524
+
525
+ 132
526
+ 00:12:22,760 --> 00:12:28,160
527
+ ุงู„ู‚ุฑุงุฑุฉ ุฅุฐุง Alpha ู‡ูˆ 005ุŸุฅุฐุง ุงู„ู‚ูŠู…ุฉ ุชุจุนุช ุงู„ู€ P
528
+
529
+ 133
530
+ 00:12:28,160 --> 00:12:33,100
531
+ value ุฃูƒุจุฑ ู…ู† 1 ู…ู† 100 ู‡ู„ ู‡ูŠ ู…ุง ุฒุงู„ุช ุฃูƒุจุฑ ู…ู† 5 ู…ู†
532
+
533
+ 134
534
+ 00:12:33,100 --> 00:12:39,840
535
+ 1000ุŸ ู…ุง ุฑุฃูŠูƒุŸ ุทูŠุจุŒ ุจู„ุงุด ุงู„ P value ุฃูƒุจุฑ ู…ู† .. ุงู„
536
+
537
+ 135
538
+ 00:12:39,840 --> 00:12:43,900
539
+ 1 ู…ู† 100 ูŠุนู†ูŠ 10 ู…ู† 1000ุŒ ู…ุธุจูˆุทุŸ ุงู„ 1 ู…ู† 100 ุณูˆุงุก
540
+
541
+ 136
542
+ 00:12:43,900 --> 00:12:48,260
543
+ 10 ู…ู† 1000ุŸ
544
+
545
+ 137
546
+ 00:12:48,260 --> 00:12:54,620
547
+ ู†ูุณ ุงู„ุดูŠุก ุฅุฐุง ุงู„ P value ุฃูƒุชุฑ ู…ู† 10 ู…ู† 1000ุงู„ู„ูŠ
548
+
549
+ 138
550
+ 00:12:54,620 --> 00:12:56,940
551
+ ุฃูƒุชุฑ ู…ู† ุฃุดู‡ุฑ ู…ู† ุฃู„ู ุฃูƒูŠุฏ ุฃูƒุชุฑ ู…ู† ุฎู…ุณุฉ ู…ู† ุฃู„ูุŒ
552
+
553
+ 139
554
+ 00:12:56,940 --> 00:13:06,500
555
+ ู…ุธุจูˆุทุŸ ุฃู‡ ุฃู‡ ุทูŠุจ ู…ุด ู…ุดูƒู„ุฉุŒ ุฅุฐุง ูˆุงุถุญ ุฃู† answer is
556
+
557
+ 140
558
+ 00:13:06,500 --> 00:13:11,000
559
+ okay ุทุจูŠุนูŠ ู„ูˆ ุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ุชุงุจุนุชูŠ ุฃูƒุจุฑ ู…ู† ุนุดุฑุฉ ุฃูƒูŠุฏ
560
+
561
+ 141
562
+ 00:13:11,000 --> 00:13:14,340
563
+ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ุชุญุตูŠู„ ุญุตู„ุŒ ู…ุณุชุญูŠู„ ุชูƒูˆู† ู†ุธุฑ ู…ู†ู‡ุง
564
+
565
+ 142
566
+ 00:13:14,340 --> 00:13:17,220
567
+ ูˆู„ุง ู„ุฃุŸ if and still we have the same decision, we
568
+
569
+ 143
570
+ 00:13:17,220 --> 00:13:21,820
571
+ don't reject another hypothesis okay next onethe
572
+
573
+ 144
574
+ 00:13:21,820 --> 00:13:25,460
575
+ same decision would be made with the test if the
576
+
577
+ 145
578
+ 00:13:25,460 --> 00:13:31,760
579
+ level is five percent ุงูŠุด ุฑุงูŠูƒูˆุงุŸ ู„ุฃู† ูƒุจุฑ Alpha
580
+
581
+ 146
582
+ 00:13:31,760 --> 00:13:34,940
583
+ ูƒุงู†ุช ูˆุงุญุฏ ู…ู† ู…ูŠุงู‡ ุฒุบุฑู‡ุง ุดูˆูŠุฉ ุงู„ุงู† ุจูŠุญูƒูŠ ู„ู‡ุง ูˆ
584
+
585
+ 147
586
+ 00:13:34,940 --> 00:13:39,740
587
+ ูƒุจุฑุชู‡ุง ุฎู„ุช ุฎู…ุณุฉ ุงู„ุงู† ู„ูˆ ูƒุงู†ุช ุจูŠุจู‚ู‰ ู„ู‡ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ
588
+
589
+ 148
590
+ 00:13:39,740 --> 00:13:45,860
591
+ ู‡ู„ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉุŸ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุจุงู„ุชุงู„ูŠ ู„ุฃ ุงุฐุง ุงู„
592
+
593
+ 149
594
+ 00:13:45,860 --> 00:13:48,600
595
+ decision ุฎุทุฃ is a default
596
+
597
+ 150
598
+ 00:13:51,350 --> 00:13:56,290
599
+ ุงู„ู€ 24 ุงู„ู€ null hypothesis ุงู„ู€ claims ุฏู‡ ุงู„ null
600
+
601
+ 151
602
+ 00:13:56,290 --> 00:13:59,850
603
+ ุจูŠุญูƒูŠ ุงู„ู‚ุงุนุฏุฉ there is no association between
604
+
605
+ 152
606
+ 00:13:59,850 --> 00:14:03,790
607
+ admission status and the college at the college
608
+
609
+ 153
610
+ 00:14:03,790 --> 00:14:06,010
611
+ and the type of community in which an applicant
612
+
613
+ 154
614
+ 00:14:06,010 --> 00:14:10,430
615
+ resides ุงู„ null hypothesis ุจูŠุญูƒูŠ two variables are
616
+
617
+ 155
618
+ 00:14:10,430 --> 00:14:14,810
619
+ independent ู…ุด ู‡ูŠูƒ ุงูŠุด ู…ุนู†ู‰ independent ู…ุนู†ุงู‡ no
620
+
621
+ 156
622
+ 00:14:14,810 --> 00:14:19,150
623
+ relationship between the two variablesุฃูˆ no
624
+
625
+ 157
626
+ 00:14:19,150 --> 00:14:22,010
627
+ association ุฅุฐุง ุจุญูƒูŠ ุฅู…ุง there is no relationship
628
+
629
+ 158
630
+ 00:14:22,010 --> 00:14:25,430
631
+ ุฃูˆ
632
+
633
+ 159
634
+ 00:14:25,430 --> 00:14:30,650
635
+ ุจุญูƒูŠ no association ู†ูุณ ุงู„ุดูŠุก ุฅุฐุง ุฅู…ุง ุจุญูƒูŠ no
636
+
637
+ 160
638
+ 00:14:30,650 --> 00:14:35,650
639
+ relationship ุฃูˆ ุฃูˆ no relationship ุฃูˆ are
640
+
641
+ 161
642
+ 00:14:35,650 --> 00:14:39,510
643
+ independent ุฃูˆ not related ูƒู„ู‡ุง ู†ูุณ ุงู„ู…ุนู†ู‰ ูู‡ูˆ
644
+
645
+ 162
646
+ 00:14:39,510 --> 00:14:44,570
647
+ ุจูŠุณุฃู„ ุฅู† ู‡ู… ุฃู…ู„ู‡ู… there is no ูƒู„ุงู… ุตุญูŠุญ ุฅุฐุง true
648
+
649
+ 163
650
+ 00:14:44,570 --> 00:14:46,530
651
+ ุฅุฐุง ู‡ุฐู‡ true
652
+
653
+ 164
654
+ 00:14:52,030 --> 00:15:03,930
655
+ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€
656
+
657
+ 165
658
+ 00:15:03,930 --> 00:15:07,170
659
+ H0
660
+
661
+ 166
662
+ 00:15:07,170 --> 00:15:14,870
663
+ ู‡ูˆ ุงู„ู€ H0
664
+
665
+ 167
666
+ 00:15:14,870 --> 00:15:18,130
667
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
668
+
669
+ 168
670
+ 00:15:18,130 --> 00:15:18,150
671
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
672
+
673
+ 169
674
+ 00:15:18,150 --> 00:15:18,450
675
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
676
+
677
+ 170
678
+ 00:15:18,450 --> 00:15:18,470
679
+ ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0 ู‡ูˆ ุงู„ู€ H0
680
+
681
+ 171
682
+ 00:15:18,470 --> 00:15:18,470
683
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1
684
+
685
+ 172
686
+ 00:15:18,470 --> 00:15:18,470
687
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1
688
+
689
+ 173
690
+ 00:15:18,470 --> 00:15:18,470
691
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1
692
+
693
+ 174
694
+ 00:15:18,470 --> 00:15:18,570
695
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1
696
+
697
+ 175
698
+ 00:15:18,570 --> 00:15:20,850
699
+ ู‡ูˆ ุงู„ู€ H1 ู‡ูˆ ุงู„ู€ H1ุฅุฐุง ุฏูŠ ู…ุนู†ุงู‡ุง ุฃูˆ they are
700
+
701
+ 176
702
+ 00:15:20,850 --> 00:15:29,630
703
+ related ู†ูุณ ุงู„ู…ุนู†ู‰ ูŠุนู†ูŠ not independent so
704
+
705
+ 177
706
+ 00:15:29,630 --> 00:15:32,610
707
+ all of these have the same meaning either
708
+
709
+ 178
710
+ 00:15:32,610 --> 00:15:36,970
711
+ dependent related not independent ูƒู„ู‡ ู†ูุณ ุงู„ู…ุนู†ู‰
712
+
713
+ 179
714
+ 00:15:36,970 --> 00:15:41,270
715
+ ู‡ูˆ ุจูŠุญูƒูŠ there is some connection ููŠ ุจุนุถ ุงู„ุงุฑุชุจุงุท
716
+
717
+ 180
718
+ 00:15:41,270 --> 00:15:43,150
719
+ ุฅุฐุง ุงู„ูƒู„ุงู… ูŠุนุด
720
+
721
+ 181
722
+ 00:15:49,400 --> 00:15:57,540
723
+ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู€ 26 The
724
+
725
+ 182
726
+ 00:15:57,540 --> 00:16:01,400
727
+ chi-square test of independence requires that the
728
+
729
+ 183
730
+ 00:16:01,400 --> 00:16:04,640
731
+ expected frequency in each cell is to be at least
732
+
733
+ 184
734
+ 00:16:04,640 --> 00:16:09,420
735
+ 5ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ ู„ูƒุŒ ู‡ู†ุง two types of chi-square ูƒู…ุง
736
+
737
+ 185
738
+ 00:16:09,420 --> 00:16:13,240
739
+ ุฐูƒุฑุช ู…ู† ู‚ุจู„ test for the difference between two
740
+
741
+ 186
742
+ 00:16:13,240 --> 00:16:15,360
743
+ proportions and the assumption was if you remember
744
+
745
+ 187
746
+ 00:16:15,360 --> 00:16:20,080
747
+ the expected frequency should be at least five for
748
+
749
+ 188
750
+ 00:16:20,080 --> 00:16:23,740
751
+ chi-square tests for the difference between two
752
+
753
+ 189
754
+ 00:16:23,740 --> 00:16:27,260
755
+ proportions but when we are talking about chi
756
+
757
+ 190
758
+ 00:16:27,260 --> 00:16:29,940
759
+ -square tests of independence I mean we are
760
+
761
+ 191
762
+ 00:16:29,940 --> 00:16:33,920
763
+ testing more than two groups in this case the
764
+
765
+ 192
766
+ 00:16:33,920 --> 00:16:37,850
767
+ expected frequency should be at least oneู‡ูˆ ูŠุณุฃู„
768
+
769
+ 193
770
+ 00:16:37,850 --> 00:16:42,210
771
+ ุนู† ูƒุงูŠ ุฃุณูƒูˆุงุฑ ุงู„ุงู†ุฏุจู†ุฏู†ุฒุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5ุŒ
772
+
773
+ 194
774
+ 00:16:42,210 --> 00:16:47,190
775
+ ูู‡ุฐุง ู„ูŠุณ ุตุญูŠุญุŒ ุฅู†ู‡ ุฎุงุทุฆุŒ ุฎู„ุงุตุŒ ู…ูŠุฒุฑ ุงู„ุฃุชู†ูŠู†ุŒ ุงู„ุฌุฒุฑ
776
+
777
+ 195
778
+ 00:16:47,190 --> 00:16:49,910
779
+ ุงู„ุฃูˆู„ ุชุจุน ุงู„ู€ proportionsุŒ ุนู„ู‰ ุงู„ุฃู‚ู„ 5ุŒ ุงู„ุฌุฏูŠุฏุŒ
780
+
781
+ 196
782
+ 00:16:49,910 --> 00:16:59,610
783
+ ุนู„ู‰ ุงู„ุฃู‚ู„ 1ุŒ 27ุŒ ูƒุงูŠ ุฃุณูƒูˆุงุฑ ุงู„ุงู†ุฏุจู†ุฏู†ุฒ ูŠุชุทู„ุจ ุนู‚ู„
784
+
785
+ 197
786
+ 00:16:59,610 --> 00:17:02,890
787
+ ุงู„ุฅุชุตุงู„ ููŠ ูƒู„ ู…ูƒุงู† ุนู„ู‰ ุงู„ุฃู‚ู„ 1ุŒ ุงู„ู„ู‡ ุณุจุญุงู†ู‡ุŒ ู‡ุฐุง
788
+
789
+ 198
790
+ 00:17:02,890 --> 00:17:10,300
791
+ ุนูƒุณ ุงู„ูุชุฑุฉุฎู„ุงุตุŸ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุชู‚ุฑูŠุจุง ุณุคุงู„ ุงู„ุดุงู…ู„ุŒ
792
+
793
+ 199
794
+ 00:17:10,300 --> 00:17:14,240
795
+ ูƒู„ู‡ ุฃุฎุฏู†ุงู‡ุง ุจุณ ุจุชุงุน ู…ุง ุฃุญุณุจ ุงู„ู€chi-square
796
+
797
+ 200
798
+ 00:17:14,240 --> 00:17:17,320
799
+ ุงู„ุณุชุงุชูŠุณุชูŠูƒ ุฃู†ุง ู…ุงุญุณุจุชู‡ุงุด ู…ุงุฑูุนุช ุฃุฎุฏูƒ ุฃูƒูŠุฏ ู†ุญุณุจ
800
+
801
+ 201
802
+ 00:17:17,320 --> 00:17:26,260
803
+ ุงู„ู€chi-square ุงู„ุณุชุงุชูŠุณุชูŠูƒ ุฎู„ุงุตุŸ ุฃูŠ ุณุคุงู„ุŸ
804
+
805
+ 202
806
+ 00:17:26,260 --> 00:17:29,060
807
+ ุฅุฐุง .. ุฅูŠุด .. ููŠ ุนู†ุฏูƒุŸ
808
+
809
+ 203
810
+ 00:17:33,480 --> 00:17:39,720
811
+ ู†ุนู… ููŠ ุงู„ discussion ุฎุฏุชูˆุง ู„ุฃุณุฑ๏ฟฝ๏ฟฝุง ุฏูˆู„ุŸ ู‡ุฐุง ู„ุฃุŒ ููŠ
812
+
813
+ 204
814
+ 00:17:39,720 --> 00:17:45,140
815
+ ุบูŠุฑู‡ ู„ุฃุŒ ูŠุนู†ูŠ ุญุงู„ุฉ ูƒู„ ุงู„ู…ุณุงุฆู„ ุทูŠุจ ุงู„ุขู† ุจุฏูŠ ุฃุญูƒูŠ ูˆ
816
+
817
+ 205
818
+ 00:17:45,140 --> 00:17:50,080
819
+ ุฃุฎู„ูŠ ูƒู„ุงู… ู…ุณุฌู„ ูŠุนู†ูŠ ุฃุฎู„ูŠู‡ ู…ุตูˆุฑ ุจุงู„ู†ุณุจุฉ ู„ู„ ..
820
+
821
+ 206
822
+ 00:17:50,080 --> 00:17:58,960
823
+ ู„ุชูˆุฒูŠุน ุงู„ุฏุฑุฌุงุช ุงู„ุชูˆุฒูŠุน
824
+
825
+ 207
826
+ 00:17:58,960 --> 00:18:02,720
827
+ ุญุงุนู…ู„ู‡ ูƒุงู„ุชุงู„ูŠุŒ ุนู„ู‰ ุฃุณุงุณ ุฃู†ุง ู„ูˆ ู†ุณูŠุช ุฃู†ุช ุงู„ุฐุงูƒุฑูŠู†ูŠ
828
+
829
+ 208
830
+ 00:18:14,940 --> 00:18:19,560
831
+ ุฃู†ุง ููŠ ุงู„ุฃูˆู„ ุฌุงู„ ู…ูˆุฒุน ุงู„ุฏุฑุฌุงุช ุฏู‡ ุณูˆุงุก ูˆุงุญุฏ ุณุคุงู„
832
+
833
+ 209
834
+ 00:18:19,560 --> 00:18:23,660
835
+ ูˆุญูŠุฏ ูˆ ุฃุฎู„ุต ุงู„ semester ูƒู„ู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ุขู† ูˆ
836
+
837
+ 210
838
+ 00:18:23,660 --> 00:18:28,820
839
+ ุงู„ุณุคุงู„ ุฏู‡ ุนู„ูŠุง ุฏุฑุฌุชูŠู† ุงู„ู„ูŠ ุงู„ู„ูŠ ู‡ุชุฌุงูˆุจ ุฎู„ุงุต ุงุญู†ุง
840
+
841
+ 211
842
+ 00:18:28,820 --> 00:18:33,400
843
+ ุจุฏู†ุง ุงู„ุดุงุจุทุฉ ุชู„ุงุชุฉ ู…ุธุจูˆุท ุงู„ุณุคุงู„ ู‡ูŠูƒูˆู† ุบุฑูŠุจ ุดูˆูŠุฉ
844
+
845
+ 212
846
+ 00:18:36,380 --> 00:18:40,560
847
+ ู‡ูˆ ุจุณูŠุท ููŠ
848
+
849
+ 213
850
+ 00:18:40,560 --> 00:18:45,280
851
+ ูƒู„ ุดุจุทุฉ ู…ู† ุงู„ุดุจุงุช ุงู„ู„ูŠ ุงุญู†ุง ุดุฑุญู†ุงู‡ู… ูƒุงู† ุฏุงูŠู…ุง ููŠ
852
+
853
+ 214
854
+ 00:18:45,280 --> 00:18:52,380
855
+ ุดุบู„ุฉ ู…ูƒุชูˆุจุฉ ููŠ ุงู„ slides ุงุณู ุชุญูˆุฑูƒ ุงูŠุงู‡ุง ู‡ุฏ ุนู„ูŠู‡ุง
856
+
857
+ 215
858
+ 00:18:52,380 --> 00:18:54,420
859
+ ุฏุฑุฌุชูŠู† ุงูˆ ุญุทูŠูƒู‡ู… ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุงู‡ ูƒุงู…ู„ุงุช ูŠุนู†ูŠ ู„ุง
860
+
861
+ 216
862
+ 00:18:54,420 --> 00:18:59,180
863
+ ู…ุฌุณู…ุงุช ูˆู„ุง ุดูŠุก
864
+
865
+ 217
866
+ 00:18:59,180 --> 00:19:04,020
867
+ ุจุนุฏ ู…ุง ุฎู„ุตู†ุง .. ุฃู†ุง ุจุณุฃู„ ุงู„ุณุคุงู„ ู‡ุฐุง ุนุงุฏุฉ ู…ู…ูƒู†
868
+
869
+ 218
870
+ 00:19:04,020 --> 00:19:12,550
871
+ ุงุณุฃู„ู‡ุฏุงุฆู…ุง ููŠ ูƒู„ ุตูุญุฉ ููŠ ุงู„ slide ู…ูƒุชูˆุจ DCOVA ุจุณ
872
+
873
+ 219
874
+ 00:19:12,550 --> 00:19:16,290
875
+ ู…ุธุจูˆุท
876
+
877
+ 220
878
+ 00:19:16,290 --> 00:19:20,630
879
+ ุทุจุนุง
880
+
881
+ 221
882
+ 00:19:20,630 --> 00:19:30,510
883
+ ู‡ุฐู‡ ุงุฎุชุตุงุฑ ุฃุฑุจุน ูƒู„ู…ุงุช ุจุชุดู…ู„ ูƒู„ ุญุตุฉ ุฅูŠุด
884
+
885
+ 222
886
+ 00:19:30,510 --> 00:19:31,070
887
+ ุฑุฃูŠูƒูˆุงุŸ
888
+
889
+ 223
890
+ 00:19:41,060 --> 00:19:46,660
891
+ ุฃุฑุจุน ุฎู…ุณ ูƒู„ู…ุงุช ูƒู„ ูƒู„ู…ุฉ ุนู„ูŠู‡ุง ู†ุต ุฏุฑุฌุฉ ู‡ุงูŠ ู†ุต ู†ุต
892
+
893
+ 224
894
+ 00:19:46,660 --> 00:19:56,580
895
+ ุงู„ุฃูˆู„ู‰ distribution ุฎุทุฃ ู†ุจุฏุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ define
896
+
897
+ 225
898
+ 00:19:56,580 --> 00:20:02,300
899
+ ู‡ุงูŠ ูˆุงุญุฏุฉ ุตุญู‡ูŠูƒ ู„ุญุธุฉ ุฎู„ูŠู‡ุง ุจุชูƒู„ู… ุญุตุฉ ุงูŠ ู…ุซู„ุฉ ููŠ
900
+
901
+ 226
902
+ 00:20:02,300 --> 00:20:07,720
903
+ ุงู„ู„ุญุธุฉ ุนู…ุงู„ ุง define ููŠู‡ุง ูˆ ุจูŠุนุฑูู‡ุง define ุจุณ ุงุฐูƒุฑ
904
+
905
+ 227
906
+ 00:20:07,720 --> 00:20:11,500
907
+ ุงุณู…ู‡ุง ุนุดุงู† ู„ู…ุง ุงุญุท ุงู„ุฏุฑุฌุงุช ุงุนุทูŠูƒ ู†ุต ู…ุง ุงู†ุง ู…ุด ..
908
+
909
+ 228
910
+ 00:20:11,500 --> 00:20:20,100
911
+ ุจุณ ุงุญูƒูŠ ุงู„ C ู‡ุงูŠ ุฏูŠ ุงู„ I ุงู„ ุณู†ุฉ ูƒู„ู‡ุง ูƒุงู†ุช ู…ุชุฎู„ุตุฉ
912
+
913
+ 229
914
+ 00:20:20,100 --> 00:20:26,140
915
+ collect ุจุงู„ู„ู‡
916
+
917
+ 230
918
+ 00:20:26,140 --> 00:20:29,690
919
+ ูˆู„ุง ูˆุงุญุฏุฉ ุจุชูุชุญ ุงู„ุฌูˆุงู„ูŠุนู†ูŠ ุจุญุงุฌุฉ ุชุณุชุฎุฏู… ุงู„ุฌูˆุง ู„ุฃูŠ
920
+
921
+ 231
922
+ 00:20:29,690 --> 00:20:36,470
923
+ ุญุงุฌุฉ ุงู„ O organized variants .. variants ..
924
+
925
+ 232
926
+ 00:20:36,470 --> 00:20:37,770
927
+ variants .. variants .. variants .. variants ..
928
+
929
+ 233
930
+ 00:20:37,770 --> 00:20:39,850
931
+ variants .. variants .. variants .. variants ..
932
+
933
+ 234
934
+ 00:20:39,850 --> 00:20:40,550
935
+ variants .. variants .. variants .. variants ..
936
+
937
+ 235
938
+ 00:20:40,550 --> 00:20:41,870
939
+ variants .. variants .. variants .. variants ..
940
+
941
+ 236
942
+ 00:20:41,870 --> 00:20:42,670
943
+ variants .. variants .. variants .. variants ..
944
+
945
+ 237
946
+ 00:20:42,670 --> 00:20:42,750
947
+ variants .. variants .. variants .. variants ..
948
+
949
+ 238
950
+ 00:20:42,750 --> 00:20:42,750
951
+ variants .. variants .. variants .. variants ..
952
+
953
+ 239
954
+ 00:20:42,750 --> 00:20:42,790
955
+ variants .. variants .. variants .. variants ..
956
+
957
+ 240
958
+ 00:20:42,790 --> 00:20:42,790
959
+ variants .. variants .. variants .. variants ..
960
+
961
+ 241
962
+ 00:20:42,790 --> 00:20:42,850
963
+ variants .. variants .. variants .. variants ..
964
+
965
+ 242
966
+ 00:20:42,850 --> 00:20:42,850
967
+ variants .. variants .. variants .. variants ..
968
+
969
+ 243
970
+ 00:20:42,850 --> 00:20:42,850
971
+ variants .. variants .. variants .. variants ..
972
+
973
+ 244
974
+ 00:20:42,850 --> 00:20:43,250
975
+ variants .. variants .. variants .. variants ..
976
+
977
+ 245
978
+ 00:20:43,250 --> 00:20:49,890
979
+ variants ..
980
+
981
+ 246
982
+ 00:20:49,890 --> 00:20:49,890
983
+ variants .. variants .. variants .. variants ..
984
+
985
+ 247
986
+ 00:20:49,890 --> 00:20:49,890
987
+ variants .. variants .. variants .. variants ..
988
+
989
+ 248
990
+ 00:20:49,890 --> 00:20:49,890
991
+ variants .. variants .. variants .. variants ..
992
+
993
+ 249
994
+ 00:20:49,890 --> 00:20:49,890
995
+ variants .. variants .. variants .. variants ..
996
+
997
+ 250
998
+ 00:20:49,890 --> 00:20:49,890
999
+ variants .. variants .. variants .. variants ..
1000
+
1001
+ 251
1002
+ 00:20:49,890 --> 00:20:49,890
1003
+ variants .. variants .. variants .. variants ..
1004
+
1005
+ 252
1006
+ 00:20:49,890 --> 00:20:49,890
1007
+ variants .. variants .. variants .. variants ..
1008
+
1009
+ 253
1010
+ 00:20:49,890 --> 00:20:49,890
1011
+ variants .. variants .. variants .. variants ..
1012
+
1013
+ 254
1014
+ 00:20:49,890 --> 00:20:49,890
1015
+ variants .. variants .. variants .. variants ..
1016
+
1017
+ 255
1018
+ 00:20:49,890 --> 00:20:49,890
1019
+ variants .. variants .. variants .. variants ..
1020
+
1021
+ 256
1022
+ 00:20:49,890 --> 00:20:49,890
1023
+ variants .. variants .. variants .. variants ..
1024
+
1025
+ 257
1026
+ 00:20:49,890 --> 00:20:52,950
1027
+ variants ..
1028
+
1029
+ 258
1030
+ 00:20:52,950 --> 00:20:52,950
1031
+ variants .. variants
1032
+
1033
+ 259
1034
+ 00:21:00,670 --> 00:21:07,990
1035
+ analyzing ู„ุญุธุฉ ุฏูŠ ุงู„ู„ูŠ ุญุตู„ ุฎู…ุณ ูƒู„ู…ุงุช defineุŒ ุนุฑูุŒ
1036
+
1037
+ 260
1038
+ 00:21:07,990 --> 00:21:09,950
1039
+ collectุŒ ุฃุฌู…ุน ุจูŠุงู†ุงุชุŒ organizeุŒ ุฃู‚ูˆู„ ุฅูŠุด ู…ุนู†ุงู‡
1040
+
1041
+ 261
1042
+ 00:21:09,950 --> 00:21:13,730
1043
+ organizeุŒ ุชู†ุธูŠู…ุฉ ุญุทู‡ุง ููŠ tablesุŒ ุจุนุฏูŠู† visualizeุŒ
1044
+
1045
+ 262
1046
+ 00:21:13,730 --> 00:21:21,570
1047
+ ุจุจุฏุฃ ููŠ ุนู…ู„ูŠุฉ ุฅูŠุด ู…ุนู†ุงู‡ visualize ุฒูŠ
1048
+
1049
+ 263
1050
+ 00:21:21,570 --> 00:21:27,280
1051
+ ุฑุคูŠุฉ ู„ู„ู…ุซู„ุฉ analyzeุงู„ุชุญู„ูŠู„ ู‡ูŠ ุชู‚ุฑูŠุจุง ุงู„ุฃุญุณู† ู…ุดุงูƒู„
1052
+
1053
+ 264
1054
+ 00:21:27,280 --> 00:21:33,680
1055
+ ุงู„ุนุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงุฎุชุตุงุฑู‡ุง DCOV8 ู‡ุฐู‡ ูˆุงุญุฏุฉ ุนุงู„ู…ุงุดูŠ
1056
+
1057
+ 265
1058
+ 00:21:33,680 --> 00:21:38,920
1059
+ ู„ุฃู† ุงู„ course ู…ุงุฆุฉ ุฏุฑุฌุฉ ู…ุด ู‡ูŠูƒ ููŠู‡ุง attendance
1060
+
1061
+ 266
1062
+ 00:21:38,920 --> 00:21:46,960
1063
+ plus homework ู‡ุฐูˆ ุนุงู„ู… ุนุดุฑุฉ ู‡ุฐูˆ ุงู„ุนุดุฑุฉ ู‡ุงุฎุฏู‡ู… ู…ู†
1064
+
1065
+ 267
1066
+ 00:21:46,960 --> 00:21:56,900
1067
+ ู…ูŠู†ุŸ ู…ู† ุนู„ุงู…ุฉ ุงู„ุนุดุฑุฉ ู‡ุฐูˆู„ ู„ุฃู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠุงู„ุชุบูŠุจ
1068
+
1069
+ 268
1070
+ 00:21:56,900 --> 00:22:03,160
1071
+ ู‡ุฐุง ู‡ุชูƒูˆู† ุฎู…ุณุฉ ูˆุฎู…ุณุฉ ุฎู…ุณุฉ ุญุถูˆุฑ ูˆุฎู…ุณุฉ ูˆุงุฌุจุงุช ุงู„ุทุงู„ุจ
1072
+
1073
+ 269
1074
+ 00:22:03,160 --> 00:22:07,380
1075
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ู„ุนุฐุฑ ุจุณุจุจ ูŠุนู†ูŠ ุนู†ุฏู‡ ู…ุญุงุถุฑุฉ ููŠ ู†ูุณ ุงู„ูˆู‚ุช
1076
+
1077
+ 270
1078
+ 00:22:07,380 --> 00:22:13,420
1079
+ ุจู„ ุงู†ุง ู‡ุญูƒูŠ ู„ุงุณู…ู‡ ุงู„ู„ูŠ ุงุชุบูŠุจ ู‡ุนุทูŠู‡ ุงู„ุนุดุฑุฉ ุนู„ู‰
1080
+
1081
+ 271
1082
+ 00:22:13,420 --> 00:22:19,820
1083
+ ุงู„ูˆุงุฌุจุงุช ุจุณ ู‡ุชูƒูˆู† ุจุฑุง ุงู„ุญุถูˆุฑ ุงู„ midterm ุฃุฎุฏู†ุง
1084
+
1085
+ 272
1086
+ 00:22:19,820 --> 00:22:25,150
1087
+ ุงุชู†ูŠู† ู…ุดูŠุงูƒ ู‡ุฏูˆู„ ุงุชู†ูŠู† ุนู„ูŠู‡ู… ุงุฑุจุนูŠู†ุงู„ู„ูŠ ูƒุงู† ุงู„ุทุงู„ุจ
1088
+
1089
+ 273
1090
+ 00:22:25,150 --> 00:22:29,290
1091
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ุนู† ุงู„ .. ุงู„ู„ูŠ ุงุชุบูŠุจ ุนู† ุงู„ุฃูˆู„ ุฏู‡ ุญุณุจู„ู‡
1092
+
1093
+ 274
1094
+ 00:22:29,290 --> 00:22:34,830
1095
+ ุงู„ุชุงู†ูŠ ููŠ ุจู‚ู‰ ุฑุจุนูŠู† ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ุงุชุบูŠุจ
1096
+
1097
+ 275
1098
+ 00:22:34,830 --> 00:22:39,730
1099
+ ุงู„ุฃูˆู„ ุงู„ุชุงู†ูŠ ููŠ ุงุชู†ูŠู† ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ
1100
+
1101
+ 276
1102
+ 00:22:39,730 --> 00:22:46,690
1103
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ
1104
+
1105
+ 277
1106
+ 00:22:46,690 --> 00:22:47,950
1107
+ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ
1108
+
1109
+ 278
1110
+ 00:22:47,950 --> 00:22:48,910
1111
+ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ
1112
+
1113
+ 279
1114
+ 00:22:48,910 --> 00:22:49,750
1115
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ
1116
+
1117
+ 280
1118
+ 00:22:49,750 --> 00:22:50,870
1119
+ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ุงุชุบูŠุจ ุงู„ุชุงู†ูŠ
1120
+
1121
+ 281
1122
+ 00:22:50,870 --> 00:22:54,020
1123
+ ุงู„ู„ูŠ ุงุชุบูŠุฅุฐุง ุงู„ู„ูŠ ู…ุงู‚ุฏู…ุด ุงู„ุฃูˆู„ ุฃุญุณุจู„ู‡ ุงู„ุชุงู†ูŠ ู…ู†
1124
+
1125
+ 282
1126
+ 00:22:54,020 --> 00:22:57,260
1127
+ ุงู„ุงุฑุจุนูŠู† ุงู„ู„ูŠ ู…ุงู‚ุฏู…ุด ุงู„ุชุงู†ูŠ ุฃุญุทูˆู„ู‡ ุงู„ุฃุนุดุฑูŠู† ุนู„ู‰ ุงู„
1128
+
1129
+ 283
1130
+ 00:22:57,260 --> 00:23:03,240
1131
+ final ููŠ ูˆุงุญุฏุฉ ู…ุงู‚ุฏู…ุชุด ุญูƒุช ู…ุนุงู‡ ู…ุงุนุฑู
1132
+
1133
+ 284
1134
+ 00:23:03,240 --> 00:23:07,540
1135
+ ุงู„ุดูŠูƒุงุช ู…ุงุฑููƒ ู…ุฑู‡ ุฏู‡ ุงู„ุนู…ูˆู… ู‡ู†ู‚ุด ุจุงู„ุชุงู†ูŠ ุงู„
1136
+
1137
+ 285
1138
+ 00:23:07,540 --> 00:23:16,820
1139
+ quizzes ุนู„ูŠู‡ู… ุนุดุฑุฉ ู‡ุฏูˆู„ ุงู„ุฃุชู†ูŠู† ู‡ุนู…ู„ ุถุฑุจ for the
1140
+
1141
+ 286
1142
+ 00:23:16,820 --> 00:23:20,560
1143
+ lowest quiz ู‡ู†ุฒู„ ุฃู‚ู„ ุฏุฑุฌุฉ ููŠ ุงู„ quiz ูˆ ุฃุญุณุจ ุนู„ู‰
1144
+
1145
+ 287
1146
+ 00:23:20,560 --> 00:23:24,920
1147
+ ุงู„ุจุงู‚ูŠูุงู„ุทุงู„ุจ ุชุบูŠุจ ุนู† ุงู„ quiz ู‡ุดูŠู„ู‡ ูˆ ุฃุญุณู†ู‡ ุงู„ุจู‚ุฑุฉ
1148
+
1149
+ 288
1150
+ 00:23:24,920 --> 00:23:27,780
1151
+ ุฃูˆ ููŠ ุฏุฑุฌุฉ ู…ุชุฏุงู†ูŠุฉ ู‡ุดูŠู„ู‡ ูƒุฐู„ูƒ ุจุงู„ู†ุณุจุฉ ู„ู„ homework
1152
+
1153
+ 289
1154
+ 00:23:27,780 --> 00:23:36,440
1155
+ ุฅุฐุง ูƒู… ูˆุงุฌุจ ุฃุฎุฏู†ุงุŸ ุฎู…ุณุฉุŸ ุดูˆ
1156
+
1157
+ 290
1158
+ 00:23:36,440 --> 00:23:42,800
1159
+ ุงู„ุงุชู†ูŠู†ุŸ ุงู„ูˆุงุฌุจุงุชุŸ ู…ุง ุจุญูƒูŠ ุนู† ุงู„ูˆุงุฌุจุงุช ุงู„ูˆุงุฌุจุงุช
1160
+
1161
+ 291
1162
+ 00:23:42,800 --> 00:23:46,380
1163
+ ุฎู…ุณุฉ ุฃุญุณุจู„ูƒ ุฃุญุณู† ุฃุฑุจุนุฉ ุงู„ quizzes ุชู„ุงุชุฉ ุฃุญุณุจู„ูƒ
1164
+
1165
+ 292
1166
+ 00:23:46,380 --> 00:23:49,200
1167
+ ุฃุญุณู† ุงุชู†ูŠู† ุจุณ
1168
+
1169
+ 293
1170
+ 00:23:54,290 --> 00:23:59,510
1171
+ ูˆุงู„ู€ Final ุฃุฑุจุนูŠู† ู„ุฃู† ุงู„ู€ Final ุทุจุนุง comprehensive
1172
+
1173
+ 294
1174
+ 00:23:59,510 --> 00:24:07,430
1175
+ exam ุงู†ุชุญุงุฑ
1176
+
1177
+ 295
1178
+ 00:24:07,430 --> 00:24:13,870
1179
+ ุดุงู…ู„ ู„ูƒู† ู…ุน ุงู„ุชุฑูƒูŠุฒ ุนู„ู‰ last three chapters ูŠุนู†ูŠ
1180
+
1181
+ 296
1182
+ 00:24:13,870 --> 00:24:18,330
1183
+ ุฃูƒุชุฑ ุดูŠุก ู‡ูŠูƒูˆู† ุชุณุนุฉ ุฃูˆ ุนุดุฑ ุฃูˆ ุฃุญุฏ ุนุดุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1184
+
1185
+ 297
1186
+ 00:24:18,330 --> 00:24:22,010
1187
+ hypothesis testing ุฎู„ุงุต
1188
+
1189
+ 298
1190
+ 00:24:22,990 --> 00:24:30,370
1191
+ ูˆุทุจุนุง ุฃุญูŠุงู†ุง ุนู„ู‰ ุงู„ุฃู‚ู„ 70% ูˆุงู„ู€
1192
+
1193
+ 299
1194
+ 00:24:30,370 --> 00:24:39,990
1195
+ 30% ุจูŠูƒูˆู† ุนู„ู‰ 3 ูˆ6 ูˆ7 ุฎู„ุงุต
1196
+
1197
+ 300
1198
+ 00:24:39,990 --> 00:24:52,130
1199
+ ู…ู† ู†ู…ุท ุงู„ุงู…ุชุญุงู† ุชู„ุช ุดุบู„ุงุช ุงู„ู€ True False HMCQ
1200
+
1201
+ 301
1202
+ 00:24:53,760 --> 00:25:02,060
1203
+ ู‡ุฐู‡ ู…ุงู„ู‡ุงุด ุฏุฑุฌุงุช ู…ุงู„ู‡ุงุด ุฏุฑุฌุงุช ู‡ุฐู‡ ูˆ ุงู„ุณุคุงู„ ุงู„ุชุงู„ุช
1204
+
1205
+ 302
1206
+ 00:25:02,060 --> 00:25:07,980
1207
+ ุงุญู†ุง ุจู†ุณู…ูŠู‡ free response free
1208
+
1209
+ 303
1210
+ 00:25:07,980 --> 00:25:12,260
1211
+ response ูŠุนู†ูŠ ุงู„ุณุคุงู„ ุจุชุญู„ูŠู‡ ุฅุฌุงุจุงุชูŠ ู…ูุชูˆุญุฉ ูŠุนู†ูŠ
1212
+
1213
+ 304
1214
+ 00:25:12,260 --> 00:25:17,760
1215
+ ุงู„ุณุคุงู„ ุฒูŠ ุงุญุณุจูƒ I squared ุงุญุณุจูƒ ุจ value ูˆ ู‡ูŠูƒ ุฎู„ุงุต
1216
+
1217
+ 305
1218
+ 00:25:17,760 --> 00:25:20,360
1219
+ ูˆ ุงู„ูุงูŠู„ุฉ ุงู†ุง ู‡ุตุญู‡ ุงู† ุดุงุก ุงู„ู„ู‡
1220
+
1221
+ 306
1222
+ 00:25:26,080 --> 00:25:38,340
1223
+ ู†ุนู… ุงู„ู„ูŠ ุงู†ุง ุตูุงูŠู‡ ูˆุงุฑุจุนูŠู† ูˆ ูˆุงุญุฏุฉ ุดู‡ูŠุฉ ุญู…ุงู„ูƒ
1224
+
1225
+ 307
1226
+ 00:25:38,340 --> 00:25:43,100
1227
+ ุดูˆููŠู‡ ู‡ุฐุง ุญุชู‰ ู…ุง ุญูƒูŠุชู‡ุงุด ุนู†ุฏ ุงู„ุทู„ุงุจ ุญู…ุงู„ุฉ ูƒุงู„ุงุชูŠ
1228
+
1229
+ 308
1230
+ 00:25:43,100 --> 00:25:47,420
1231
+ ุนุดุงู† ุฎุงุทุฑูƒ ุจุณ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† ุฎู…ุณุชุงุด ูˆ ุงู„ู„ูŠ ุฃุนู„ู‰ ู…ู†
1232
+
1233
+ 309
1234
+ 00:25:47,420 --> 00:25:47,920
1235
+ ุงู„ุฎู…ุณ ุนุดุฑ
1236
+
1237
+ 310
1238
+ 00:25:50,910 --> 00:25:54,350
1239
+ ูŠุนู†ูŠ ุจุชุงุฎุฏ ุฏุฑุฌุชูŠู† ู…ุด ู…ู† ุนุดุฑูŠู† ุนุดุฑูŠู†ุŒ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู†
1240
+
1241
+ 311
1242
+ 00:25:54,350 --> 00:25:57,270
1243
+ ุฎู…ุณุชุงุดุฑ ูˆ ุงู„ู„ูŠ ุฃุนู„ู‰ ู…ู† ุนุดุฑูŠู†ุŒ ู…ู† ุฎู…ุณุฉ ุนุดุฑูŠู†
1244
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/ZJBR7D3m4ek.srt ADDED
@@ -0,0 +1,1367 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:27,090
3
+ ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุงู„ู€ test for two means last
4
+
5
+ 2
6
+ 00:00:27,090 --> 00:00:33,250
7
+ time we talked about one case when sigma one and
8
+
9
+ 3
10
+ 00:00:33,250 --> 00:00:36,470
11
+ sigma two are unknown but we assumed they are
12
+
13
+ 4
14
+ 00:00:36,470 --> 00:00:41,690
15
+ equal and if you remember we did one example for
16
+
17
+ 5
18
+ 00:00:41,690 --> 00:00:49,610
19
+ this case and we have this t statistic and we have
20
+
21
+ 6
22
+ 00:00:49,610 --> 00:00:53,680
23
+ a new ุงู„ุฎุทูˆุงุช ุงู„ู„ูŠ ุชุณู…ูŠู‡ุง ุงู„ูˆุฒุงุฑุงุช ุงู„ูˆุฒุงุฑุงุช ุฃูƒุซุฑ ุฃูƒุซุฑ
24
+
25
+ 7
26
+ 00:00:53,680 --> 00:00:58,040
27
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
28
+
29
+ 8
30
+ 00:00:58,040 --> 00:00:58,060
31
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
32
+
33
+ 9
34
+ 00:00:58,060 --> 00:01:01,420
35
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
36
+
37
+ 10
38
+ 00:01:01,420 --> 00:01:01,540
39
+ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ ุฃูƒุซุฑ
40
+
41
+ 11
42
+ 00:01:01,540 --> 00:01:09,080
43
+ ุฃูƒุซุฑ ุฃูƒุซุฑ
44
+
45
+ 12
46
+ 00:01:19,720 --> 00:01:26,580
47
+ ุงู„ุณูŠุฌู…ุง ู…ุฑุชุจุทุฉ ุงู„ุณูŠุฌู…ุง
48
+
49
+ 13
50
+ 00:01:26,580 --> 00:01:32,420
51
+ ุบูŠุฑ ู…ุนุฑูˆูุฉ ู„ุงุฒู…
52
+
53
+ 14
54
+ 00:01:32,420 --> 00:01:37,520
55
+ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ู„ูŠ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
56
+
57
+ 15
58
+ 00:01:37,520 --> 00:01:37,860
59
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
60
+
61
+ 16
62
+ 00:01:37,860 --> 00:01:39,380
63
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
64
+
65
+ 17
66
+ 00:01:39,380 --> 00:01:49,300
67
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
68
+
69
+ 18
70
+ 00:01:49,300 --> 00:01:53,230
71
+ ุงู„ุซุงู†ูŠ ู‡ูˆ ุงู„ุชุบูŠูŠุฑ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู†
72
+
73
+ 19
74
+ 00:01:53,230 --> 00:01:53,250
75
+ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู†
76
+
77
+ 20
78
+ 00:01:53,250 --> 00:01:55,090
79
+ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู†
80
+
81
+ 21
82
+ 00:01:55,090 --> 00:02:00,330
83
+ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู†
84
+
85
+ 22
86
+ 00:02:00,330 --> 00:02:00,370
87
+ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู†
88
+
89
+ 23
90
+ 00:02:00,370 --> 00:02:01,110
91
+ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู†
92
+
93
+ 24
94
+ 00:02:01,110 --> 00:02:03,210
95
+ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู†
96
+
97
+ 25
98
+ 00:02:03,210 --> 00:02:07,290
99
+ ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ ุฃู† ุงู„ูˆุงุถุญ
100
+
101
+ 26
102
+ 00:02:07,290 --> 00:02:18,090
103
+ ุฃู†
104
+
105
+ 27
106
+ 00:02:18,910 --> 00:02:23,370
107
+ ู‡ูˆ ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู‚ู…ู†ุง ุจู‡ ู‚ุจู„ู‡ุง ู„ุฐู„ูƒ ู„ู‡ุฐุง ูู‚ุท ุฏูŠ ุงู
108
+
109
+ 28
110
+ 00:02:23,370 --> 00:02:31,130
111
+ ุฃู‚ุตู‰ N1 ุจู„ุณ N2-2 ุงู„ุขู† ุชูŠุณุชุงุชูŠุณุชูŠูƒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
112
+
113
+ 29
114
+ 00:02:31,130 --> 00:02:35,510
115
+ ู…ุฎุชู„ูุฉ ู‚ู„ูŠู„ุงู‹ ู…ู† ุงู„ุณุงุจู‚ุฉ ุดูˆูŠุฉ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ุง
116
+
117
+ 30
118
+ 00:02:35,510 --> 00:02:40,770
119
+ ููŠ ุงู„ุฃูˆู„ ุฅุฐุง ุชุฐูƒุฑูŠ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ ู…ู† ุดูˆูŠุฉ ุงูŠู‡
120
+
121
+ 31
122
+ 00:02:40,770 --> 00:02:43,770
123
+ ุชูŠุณุชุงุชูŠุณุชูŠูƒ ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ุชุจู‚ู‰ ุงู„ูŠูˆู… ุฅุฐุง
124
+
125
+ 32
126
+ 00:02:43,770 --> 00:02:48,150
127
+ ูƒุงู† ุงู„ู€ sigma's unknown ูˆู„ูƒู† ู†ุนุชู‚ุฏ ุฃู†ู‡ู… ู„ูŠุณูˆุง
128
+
129
+ 33
130
+ 00:02:48,150 --> 00:02:53,310
131
+ ู…ุฑุชุจุทูŠู†ุŒ ูุณู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ูˆุตูุฉ
132
+
133
+ 34
134
+ 00:02:53,310 --> 00:03:03,490
135
+ ุงู„ุงุฎุชู„ุงู
136
+
137
+ 35
138
+ 00:03:03,490 --> 00:03:08,700
139
+ ุจุณ ุจุฏู„ ู…ู† ุฃุฎุฐ square root of square B1 over n1
140
+
141
+ 36
142
+ 00:03:08,700 --> 00:03:13,060
143
+ plus 1 over n2 ู†ุงุฎุฏ ูู‚ุท square root of s1 squared
144
+
145
+ 37
146
+ 00:03:13,060 --> 00:03:18,160
147
+ over n1 plus s2 squared over n2 ูˆ ุงู„ู€ degrees of
148
+
149
+ 38
150
+ 00:03:18,160 --> 00:03:20,960
151
+ freedom ู†ุงุฎุฏู‡ุง approximately equal to n1 plus n2
152
+
153
+ 39
154
+ 00:03:20,960 --> 00:03:27,660
155
+ minus 2 and we have the same one tail and two tail
156
+
157
+ 40
158
+ 00:03:27,660 --> 00:03:33,020
159
+ test and let's do this the same example we did
160
+
161
+ 41
162
+ 00:03:33,020 --> 00:03:42,880
163
+ last time ุงู„ุฎุงุต ุจูƒ ุฃู†ูƒ ุงุฎุชู„ุงู
164
+
165
+ 42
166
+ 00:03:42,880 --> 00:03:45,440
167
+ ุจูŠู†ู‡ู… ูƒุงู„ุชุงู„ูŠ ุจูŠุญูƒูŠ ุฃู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ุจูŠู† ุงู„ู‡ุฌูˆู…
168
+
169
+ 43
170
+ 00:03:45,440 --> 00:03:49,580
171
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ุจูŠู† ุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ
172
+
173
+ 44
174
+ 00:03:49,580 --> 00:03:51,420
175
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
176
+
177
+ 45
178
+ 00:03:51,420 --> 00:03:51,680
179
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ
180
+
181
+ 46
182
+ 00:03:51,680 --> 00:03:52,640
183
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
184
+
185
+ 47
186
+ 00:03:52,640 --> 00:03:54,960
187
+ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
188
+
189
+ 48
190
+ 00:03:54,960 --> 00:04:01,980
191
+ ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู… ุงู„ุงู†ุชู‚ุงู„ูŠ ูˆุงู„ู‡ุฌูˆู…
192
+
193
+ 49
194
+ 00:04:01,980 --> 00:04:05,510
195
+ ุงู„ุขู† example ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ ุชุจุน ุงู„ูŠูˆู… ู‡ูŠ ู†ูุณ ุงู„ู€
196
+
197
+ 50
198
+ 00:04:05,510 --> 00:04:09,850
199
+ example ุจุณ ู…ุฑุฉ ู‡ู†ุญู„ูˆู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ ุญู„ู„ู†ุงู‡ุง ููŠ ุญุงู„ุฉ
200
+
201
+ 51
202
+ 00:04:09,850 --> 00:04:17,950
203
+ equal ู„ุญุธุฉ ู†ูุณู‡ ููŠ ุญุงู„ุฉ ุงู„ู€ equal ู†ูุณ ุงู„ู€ slide ู…ู‡ูŠ
204
+
205
+ 52
206
+ 00:04:17,950 --> 00:04:24,150
207
+ ู†ูุณ ุงู„ู€ slide ุงู„ู…ุฑุฉ ู‡ุฐู‡ ููŠ ุญุงู„ุฉ ุงู„ู€ unequal ู†ูุณ ุงู„ู€
208
+
209
+ 53
210
+ 00:04:24,150 --> 00:04:27,350
211
+ example ู‡ู†ุญู„ูˆู‡ ู…ุฑุฉ ููŠ ุงู„ู€ equal ุญู„ู„ู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ
212
+
213
+ 54
214
+ 00:04:28,130 --> 00:04:31,750
215
+ ู‡ุชู„ุงุญุธูŠ ุงู„ู€ conclusion ุงู„ู„ูŠ ู…ุฑุฉ ูุงุชุช ูƒุงู† ุนุจุงุฑุฉ ุนูŠุด
216
+
217
+ 55
218
+ 00:04:31,750 --> 00:04:35,830
219
+ reject ุงู„ู€ zero ูˆุญูƒูŠู†ุง there is sufficient evidence
220
+
221
+ 56
222
+ 00:04:35,830 --> 00:04:39,330
223
+ of a difference in means ุงู„ู„ูŠ ู„ู…ุง ู†ุบูŠุฑ ูˆูŠุตูŠุฑ
224
+
225
+ 57
226
+ 00:04:39,330 --> 00:04:43,710
227
+ unequal variances ู…ู…ูƒู† ุงู„ูˆุถุน ูŠุฎุชู„ู ุชู…ุงู…ู‹ุง ุจุงุถุญ ูŠุนู†ูŠ
228
+
229
+ 58
230
+ 00:04:43,710 --> 00:04:50,450
231
+ ู…ุด ุดุฑุท ูŠูƒูˆู† ู†ูุณ ุงู„ุฅุฌุงุจุฉ ุฎู„ูŠู†ุง ู†ุดูˆู ู…ุน ุจุนุถ ูƒู„ ุญุงุฌุฉ
232
+
233
+ 59
234
+ 00:04:50,450 --> 00:04:54,450
235
+ ู…ู† ุงู„ู‚ุงุชู„ ุทุจุนู‹ุง ู‡ูˆ ู…ุด ู‡ูŠุนุทูŠูƒ ุงู„ุฅุฌุงุจุฉ ู‡ูŠุญู„ ุนู„ู‰ ุงู„ู€
236
+
237
+ 60
238
+ 00:04:54,450 --> 00:05:03,350
239
+ Excel ู„ุญุธุฉ ููŠุด ู‡ู†ุง ุญู„ ูˆุงุถุญ ู†ุญู„ ุงุญู†ุง ู…ุน ุจุนุถ ุฅุฐุง
240
+
241
+ 61
242
+ 00:05:03,350 --> 00:05:08,730
243
+ ู‡ุงูŠ T-stat equals
244
+
245
+ 62
246
+ 00:05:08,730 --> 00:05:19,450
247
+ ุจุฃุฎุฐ ุงู„ู€ data ุงู„ู„ูŠ ุดูู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ X1 bar 3
248
+
249
+ 63
250
+ 00:05:19,450 --> 00:05:23,710
251
+ .17 minus
252
+
253
+ 64
254
+ 00:05:23,710 --> 00:05:26,510
255
+ X2 bar 2.53
256
+
257
+ 65
258
+ 00:05:29,630 --> 00:05:33,430
259
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
260
+
261
+ 66
262
+ 00:05:33,430 --> 00:05:35,050
263
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
264
+
265
+ 67
266
+ 00:05:35,050 --> 00:05:35,590
267
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
268
+
269
+ 68
270
+ 00:05:35,590 --> 00:05:36,110
271
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
272
+
273
+ 69
274
+ 00:05:36,110 --> 00:05:40,630
275
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
276
+
277
+ 70
278
+ 00:05:40,630 --> 00:05:42,330
279
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
280
+
281
+ 71
282
+ 00:05:42,330 --> 00:05:47,150
283
+ ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ
284
+
285
+ 72
286
+ 00:05:47,150 --> 00:05:47,210
287
+ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ
288
+
289
+ 73
290
+ 00:05:47,210 --> 00:05:58,390
291
+ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู† ู…ูŠู†ูˆุณ ู…ูŠ ูˆุงู†
292
+
293
+ 74
294
+ 00:05:59,450 --> 00:06:07,350
295
+ plus 1.16 squared divided by n2 ุงู„ุขู† ู„ูˆ ุญู„ูŠุชูŠ ู‡ุฐุง
296
+
297
+ 75
298
+ 00:06:07,350 --> 00:06:16,750
299
+ ู‡ูŠูƒ ุฃูƒูŠุฏ ุงู„ุฌูˆุงุจ ู‡ูŠุทู„ุน ู…ุนูƒ 2.019 ุฅุฐุง ู‡ูŠ ุงู„ุฌูˆุงุจ 2
300
+
301
+ 76
302
+ 00:06:16,750 --> 00:06:25,250
303
+ .019 ุฎู„ุงุต ุฅุฐุง ุฃู†ุง ุจุดุชุฑูŠ ุนู„ู‰ T statistic ู„ุฌุฏูŠุฏ
304
+
305
+ 77
306
+ 00:06:26,790 --> 00:06:32,990
307
+ ุชุณุงุช ุชุณุงูˆูŠ 2.019 ุช
308
+
309
+ 78
310
+ 00:06:32,990 --> 00:06:40,510
311
+ ุงู„ูุง ุงูˆูุฑ ุงุชูˆ ู†ูุณ ุงู„ู‚ุตุฉ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ุงู„ุงู„ูุฉ
312
+
313
+ 79
314
+ 00:06:40,510 --> 00:06:45,030
315
+ ูƒุงู†ุช 5% ูุงู„ู
316
+
317
+ 80
318
+ 00:06:45,030 --> 00:06:51,550
319
+ ุงูˆูุฑ ุงุชูˆ ู‡ูˆ 0.25 ู„ุงุฒู… ุฃุทู„ุนู‡ุง ู…ู† ุงู„ู€ table ูˆู†ุนุชุจุฑ ุงู„ู€
320
+
321
+ 81
322
+ 00:06:51,550 --> 00:06:55,070
323
+ degree of freedom is approximately N1
324
+
325
+ 82
326
+ 00:06:56,760 --> 00:07:04,180
327
+ plus n 2 minus 2 44 ุชุฐูƒุฑ ุฃู†ู†ุง ุญู„ู†ุง ุนู„ู‰ 44 ุนู„ู‰
328
+
329
+ 83
330
+ 00:07:04,180 --> 00:07:09,100
331
+ ุงู„ุชุงุจุน ู„ู… ูŠูƒู† 44 ู…ูˆุฌูˆุฏ ุฃุฎุฐู†ุง approximate one the
332
+
333
+ 84
334
+ 00:07:09,100 --> 00:07:16,180
335
+ closest one was 40 ูุทู„ู†ุงู‡ุง ุนู†ุฏ ุงู„ุฃุฑุจุนูŠู† ูˆู‡ูŠ ุฌุฏูˆู„
336
+
337
+ 85
338
+ 00:07:16,180 --> 00:07:23,160
339
+ ุงู„ู€ T-test ุฃู†ุง ุจุฏูˆุฑ ุนู„ู‰ ุงู„ุฃุฑุจุนูŠู† ู…ุงุก zero to five
340
+
341
+ 86
342
+ 00:07:26,420 --> 00:07:32,240
343
+ 2.021 2.0212
344
+
345
+ 87
346
+ 00:07:32,240 --> 00:07:38,540
347
+ .0212
348
+
349
+ 88
350
+ 00:07:38,540 --> 00:07:48,720
351
+ .0212 .0212 .0212 .0212 .0212 .0202 .0202 .0202 .0202 .0202
352
+
353
+ 89
354
+ 00:07:48,720 --> 00:07:51,340
355
+ .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202
356
+
357
+ 90
358
+ 00:07:51,340 --> 00:07:52,280
359
+ .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202
360
+
361
+ 91
362
+ 00:07:52,280 --> 00:07:52,300
363
+ .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202 .0202
364
+
365
+ 92
366
+ 00:07:52,300 --> 00:07:56,180
367
+ .0202 .0202 .020
368
+
369
+ 93
370
+ 00:08:01,890 --> 00:08:07,930
371
+ ุงู„ุซุงู†ูŠุฉ ู†ูŠุฌุงุชูŠู ุงู„ุชุณุชุงุชูŠุด
372
+
373
+ 94
374
+ 00:08:07,930 --> 00:08:12,350
375
+ 2.019
376
+
377
+ 95
378
+ 00:08:12,350 --> 00:08:16,410
379
+ ู…ุงุฐุง
380
+
381
+ 96
382
+ 00:08:16,410 --> 00:08:18,870
383
+ ูŠุนู†ูŠ 2.019
384
+
385
+ 97
386
+ 00:08:24,650 --> 00:08:27,390
387
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ
388
+
389
+ 98
390
+ 00:08:27,390 --> 00:08:37,910
391
+ ุชุณู…ู‰ ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ู„ุญุธุฉ
392
+
393
+ 99
394
+ 00:08:37,910 --> 00:08:44,650
395
+ 2.019 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ู…ูˆุฌูˆ๏ฟฝ๏ฟฝุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุงู‹
396
+
397
+ 100
398
+ 00:08:44,650 --> 00:08:47,910
399
+ ู†ุญู† ู„ุง ู†ุฑูุถ ุงู„ู€ hypothesis .. ุฃุนู†ูŠ ู†ุญู† ู†ูุฑุถ ู…ู†
400
+
401
+ 101
402
+ 00:08:47,910 --> 00:08:54,190
403
+ ุงู„ู€ hypothesis ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ู†ุงูƒ ุฃุฏู„ุฉ
404
+
405
+ 102
406
+ 00:08:54,190 --> 00:09:02,950
407
+ ูƒุงููŠุฉ ุชุฏุนูŠ ุฃู† ู‡ู†ุงูƒ ูุฑู‚ ููŠ ุงู„ู…ุชูˆุงุตู„ ุฅุฐุงู‹
408
+
409
+ 103
410
+ 00:09:02,950 --> 00:09:04,770
411
+ ุงู„ู€ conclusion is that we failed to reject the zero
412
+
413
+ 104
414
+ 00:09:04,770 --> 00:09:07,670
415
+ ู…ุน ูƒุฏู‡ ู‡ู†ุงูƒ ุฃุฏู„ุฉ ูƒุงููŠุฉ ุชุฏุนูŠ ุฃู† ู‡ู†ุงูƒ ูุฑู‚ ููŠ
416
+
417
+ 105
418
+ 00:09:07,670 --> 00:09:08,050
419
+ ุงู„ู…ุชูˆุงุตู„
420
+
421
+ 106
422
+ 00:09:11,970 --> 00:09:17,810
423
+ ู…ุน ู‚ุฑุงุฑุงุช ู…ุฎุชู„ูุฉ ู„ูƒู„ุง ุงู„ุญุงู„ุชูŠู† ุงู„ู…ุงุถูŠุฉ ุนู†ุฏู…ุง ู‚ุฑุฑ
424
+
425
+ 107
426
+ 00:09:17,810 --> 00:09:20,890
427
+ ุดุฎุตูŠุฉ ุณูŠุฌู…ุง 1 ูŠู‚ู„ ู„ุณูŠุฌู…ุง 2 ูƒุงู†ุช ู‚ุฑุงุฑุฉ ุงู„ุงู†ุชู‚ุงู„
428
+
429
+ 108
430
+ 00:09:20,890 --> 00:09:28,650
431
+ ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช ู†ู‚ู„ุช
432
+
433
+ 109
434
+ 00:09:28,650 --> 00:09:38,510
435
+ ู†ู‚ู„ุช
436
+
437
+ 110
438
+ 00:09:39,540 --> 00:09:47,200
439
+ ุญุณุจ T ุงู„ู€ statistic ู…ุน ุงู„ู€ critical value ุฎู„ุงุตุŸ
440
+
441
+ 111
442
+ 00:09:47,200 --> 00:09:52,240
443
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ู†ูุณ ุงู„ู€ exam ุจุชุงุนูŠ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช
444
+
445
+ 112
446
+ 00:09:52,240 --> 00:09:57,060
447
+ ุงู„ุงุฎุชู„ุงู ูู‚ุท ู„ู…ุง ุญุณุจู†ุง T ุงู„ู€ statistic ูˆ ุฏู‡ ุงู„ุณุคุงู„
448
+
449
+ 113
450
+ 00:09:57,060 --> 00:10:03,160
451
+ ุงู„ู„ูŠ ุฃู†ุช ูˆู‚ุนุช ู…ุนุงู‡ ู…ุธู‡ุฑุŸ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃู†ุช ุจุชุญูƒูˆุง ู…ุน
452
+
453
+ 114
454
+ 00:10:03,160 --> 00:10:08,520
455
+ ุจุนุถ ุงุญูƒูˆุง ู…ุนุงูŠุง ุฃูุถู„ ู„ูƒ ููŠ ุฃูŠ ุณุคุงู„ุŸ ู…ุงุดูŠ ุงู„ู†ู‚ุทุฉ
456
+
457
+ 115
458
+ 00:10:08,520 --> 00:10:12,990
459
+ ุงู„ุจุฏุฆูŠุฉ ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ุญุชู‰ ุงู„ุขู†ุŒ ุชุชุฐูƒุฑ ู…ุฑุฉ ูุงุช ุญูƒูŠู†ุง ููŠ
460
+
461
+ 116
462
+ 00:10:12,990 --> 00:10:18,130
463
+ ุนู†ุฏูŠ chapter 10ุŸ ููŠู‡ test ู„ู„ู€ means ูˆ test ู„ู„ู€
464
+
465
+ 117
466
+ 00:10:18,130 --> 00:10:21,390
467
+ proportionsุŒ ุจุฏุฃู†ุง ุจุงู„ู€ means ูˆู‚ู„ู†ุง ุงู„ู€ means ููŠ
468
+
469
+ 118
470
+ 00:10:21,390 --> 00:10:26,330
471
+ ุญุงู„ุชูŠู†ุŒ independent ูˆ related ููŠ ุงู„ู€ independent
472
+
473
+ 119
474
+ 00:10:26,330 --> 00:10:30,130
475
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ููŠู‡ ุญุงู„ุชูŠู† ุงู„ู€ variances are equal ูˆ not
476
+
477
+ 120
478
+ 00:10:30,130 --> 00:10:34,830
479
+ equal ูˆ ุฏู‡ ุฎู„ุตู†ุงู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุจุฏุฆูŠุฉ ุงู„ู€ related
480
+
481
+ 121
482
+ 00:10:34,830 --> 00:10:39,340
483
+ populations ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ pair difference test ุจูŠุนุทูŠูƒ
484
+
485
+ 122
486
+ 00:10:39,340 --> 00:10:41,480
487
+ ู…ู‚ุฏู…ุฉ ุจุงู„ุนุฑุจูŠุฉ ุนู„ูŠู‡ุง ุนุดุงู† ุชุณุชูˆุนุจ ุงูŠุด ุงู„ู„ูŠ ุงุญู†ุง
488
+
489
+ 123
490
+ 00:10:41,480 --> 00:10:49,440
491
+ ุนุงูŠุฒูŠู†ู‡ ุงู„ู„ูŠ ู‡ูˆู† ู†ูุชุฑุถ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ููŠู‡ ุนู†ุฏู‡ุง ุนุฏุฏ ู…ู†
492
+
493
+ 124
494
+ 00:10:49,440 --> 00:10:54,220
495
+ ุงู„ู…ูˆุธููŠู† ูˆุงู„ู…ูˆุธููŠู† ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ complaints ุดูƒุงูˆูŠ ู…ู†
496
+
497
+ 125
498
+ 00:10:54,220 --> 00:10:59,120
499
+ ุงู„ุฒุจุงุฆู† ูˆู†ูุชุฑุถ
500
+
501
+ 126
502
+ 00:10:59,120 --> 00:11:03,220
503
+ ูˆุฑุฏ ู„ู„ุดุฑูƒุฉ ุนุฏุฉ ุดูƒุงูˆูŠ ู…ู† ุฒุจูˆู† ู…ุญู…ุฏ ู†ูุชุฑุถ ู„ู„ุงุณู
504
+
505
+ 127
506
+ 00:11:03,220 --> 00:11:07,880
507
+ ุงู„ู…ูˆุธู ู…ุญู…ุฏ ู†ูุชุฑุถ ุนู„ูŠู‡ ุนุดุฑูŠู† ุดูƒูˆู‰ ู…ุญู…ูˆุฏ ุนู„ูŠ
508
+
509
+ 128
510
+ 00:11:07,880 --> 00:11:11,760
511
+ ุฎู…ุณุชุงุดุฑุŒ ุฃุญู…ุฏ ุนู„ูŠ ุชู„ุงุชุชุงุดุฑ ูˆ ู‡ูƒุฐุง ูˆู†ูุณู‡ุง ุงู„ู…ุฏูŠุฑ
512
+
513
+ 129
514
+ 00:11:11,760 --> 00:11:17,100
515
+ ุงู„ุดุฑูƒุฉ ุนุงูŠุฒ ูŠุญุณู† ู…ู† ู…ุณุชูˆู‰ ุนู„ุงู‚ุฉ ุงู„ู…ูˆุธููŠู† ุงู„ู„ูŠ ุนู†ุฏู‡
516
+
517
+ 130
518
+ 00:11:17,100 --> 00:11:20,960
519
+ ู…ุน ุงู„ุฒุจุงุฆู† ูุนุทูˆู‡ู… ุฏูˆุฑุฉ ุชุฏุฑูŠุจูŠุฉ ูƒูŠู ุชุชุนุงู…ู„ ู…ุน
520
+
521
+ 131
522
+ 00:11:20,960 --> 00:11:28,100
523
+ ุงู„ุฒุจุงุฆู† ูˆุจุนุฏ ู…ุง ุฎู„ุตุช ุงู„ุฏูˆุฑุฉ ุชู„ู‚ู‰ ุงู„ุดูƒุงูˆูŠ ูˆุนุงูŠุฒ
524
+
525
+ 132
526
+ 00:11:28,100 --> 00:11:31,940
527
+ ูŠุดูˆู ู‡ู„ ุงู„ุฏูˆุฑุฉ ุงู„ู„ูŠ ุฃุฎุฏูˆู‡ุง ุงู„ู…ูˆุธููŠู† ุงู„ู„ูŠ ุนู†ุฏู‡ ูƒุงู†ุช
528
+
529
+ 133
530
+ 00:11:31,940 --> 00:11:38,000
531
+ ู…ุงู„ู‡ุง ู…ููŠุฏุฉุŒ ูƒุงู†ุช ูุนุงู„ุฉุŒ ู…ุนู†ู‰ ูุนุงู„ุฉ ูŠุนู†ูŠ ุนุฏุฏ ุงู„ู€ ..
532
+
533
+ 134
534
+ 00:11:38,000 --> 00:11:43,500
535
+ ุงู„ู€ compliance ู…ุงู„ู‡ ุจุฏูŠ ูŠู‚ู„ุŒ ู…ุด ู‡ูŠูƒุŸ ู„ุญุธุฉ ุงุญู†ุง
536
+
537
+ 135
538
+ 00:11:43,500 --> 00:11:47,040
539
+ ุจู†ุชูƒู„ู… ุนู† ู†ูุณ ุงู„ู…ุฌู…ูˆุนุฉุŒ ู†ูุณ ุงู„ู…ูˆุธููŠู† ุฃุฎุฐู†ุง
540
+
541
+ 136
542
+ 00:11:47,040 --> 00:11:51,680
543
+ compliance ุนู„ูŠู‡ู… ู‚ุจู„ ุงู„ุฏูˆุฑุฉ ูˆุจุนุฏ ุงู„ุฏูˆุฑุฉ ู‡ุฐุง ู…ุง
544
+
545
+ 137
546
+ 00:11:51,680 --> 00:11:54,700
547
+ ูŠู‚ูˆู„ูˆุง ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ู… related populations ุฅุฐุง ุจูƒูˆู†
548
+
549
+ 138
550
+ 00:11:54,700 --> 00:11:58,900
551
+ ุนู†ุฏูŠ one group ุจุนุฏ ูƒุฏู‡ ุจุชุชูƒู„ู… ุนู† ุงู„ู€ related
552
+
553
+ 139
554
+ 00:11:58,900 --> 00:12:04,440
555
+ populations ูŠุนู†ูŠ ุจุนู…ู„ intervention ุชุฏุฎู„ ู…ุนูŠู† ูุจูƒูˆู†
556
+
557
+ 140
558
+ 00:12:04,440 --> 00:12:08,800
559
+ ุนู†ุฏูŠ measurements before ุงู„ู€ treatment ุฃูˆ ุงู„ู€
560
+
561
+ 141
562
+ 00:12:08,800 --> 00:12:12,620
563
+ intervention ูˆููŠ measurements after ุงู„ู€ treatment
564
+
565
+ 142
566
+ 00:12:12,620 --> 00:12:18,480
567
+ ู‡ุงูŠ ุจูŠุณู…ูŠู‡ุง before and after ู‚ุจู„ ูˆุจุนุฏ ุฃูˆ ู…ุซุงู„
568
+
569
+ 143
570
+ 00:12:18,480 --> 00:12:24,820
571
+ ุซุงู†ูŠ ุงูŠู‡ ู„ูŠุด ุจุชุถุญูƒุŸ ุงูŠุด ุงู„ู„ูŠ ุจุฏุญูƒุŸ ู…ู…ูƒู† ู†ุถุญูƒ ู…ุน ุจุนุถ
572
+
573
+ 144
574
+ 00:12:24,820 --> 00:12:30,640
575
+ ูˆู†ุทู†ุด ุงู„ู…ุญุงุถุฑุฉ ุฎุงู„ุต ุฅุฐุง ููŠ ุดูŠุก ุจุถุญูƒ ุฃู†ุง ู…ู…ูƒู†
576
+
577
+ 145
578
+ 00:12:30,640 --> 00:12:36,560
579
+ ุฃุชูˆู‚ู ูˆู†ุถุญูƒ ูˆู†ุญูƒูŠ ุงู„ู„ูŠ ุจุฏูƒ ุงูŠุงู‡ ูˆุจุนุฏูŠู† ู†ูƒู…ู„ ุทูŠุจ
580
+
581
+ 146
582
+ 00:12:36,560 --> 00:12:42,520
583
+ ุฃุนุทูŠู†ูŠ example ุซุงู†ูŠ ู„ู„ู€ .. ู„ู„ู€ related populations
584
+
585
+ 147
586
+ 00:12:44,170 --> 00:12:47,330
587
+ ุฃุชูƒู„ู… ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุนู† ุงู„ุขู„ุงุช ู…ุซู„ู‹ุง ู„ู…ุง ุจุฏุฃุช ุชุดูˆูู‡ุง
588
+
589
+ 148
590
+ 00:12:47,330 --> 00:12:52,230
591
+ ุงู„ุฅู†ุชุงุฌูŠุฉ ู‚ุจู„ ู…ุง ุฃุนู…ู„ ุชู‚ู†ูŠุงุช ุฌุฏูŠุฏุฉ ุจุงู„ุขู„ุฉ ูˆุจุนุฏุŸ
592
+
593
+ 149
594
+ 00:12:52,230 --> 00:12:54,410
595
+ ู…ู…ุชุงุฒุฉ ูŠุนู†ูŠ ู†ูุชุฑุถ ุนู†ุฏู‡ุง ุขู„ุงุช ู‚ุฏูŠู…ุฉ ุจุชู†ุชุฌ ู…ุซู„ู‹ุง
596
+
597
+ 150
598
+ 00:12:54,410 --> 00:13:00,330
599
+ ู…ุญุตูˆู„ ู…ุนูŠู† ู…ุซู„ู‹ุง ุนุตุฑ ุงู„ุฒูŠุชูˆู† ูˆุงุณุชุฎุฏู…ุช ู…ูƒูŠู†ุงุช ู‚ุฏูŠู…ุฉ
600
+
601
+ 151
602
+ 00:13:00,330 --> 00:13:03,390
603
+ ุฅุฐุง ู†ูุชุฑุถ ุฏู„ ุงู„ู…ุตู†ุน ุฌุงุจ ู…ูƒูŠู†ุงุช ุฌุฏูŠุฏุฉ ูˆุนุงูŠุฒ ุชุดูˆู
604
+
605
+ 152
606
+ 00:13:03,390 --> 00:13:06,850
607
+ ู‡ู„ ุงู„ู…ูƒูŠู†ุงุช ุงู„ุฌุฏูŠุฏุฉ ุฃุนุทุช ู…ุชูˆุณุท ุฅู†ุชุงุฌ ุฃูุถู„ ูˆู„ุง ู„ุง
608
+
609
+ 153
610
+ 00:13:06,850 --> 00:13:12,320
611
+ ุฃูˆ ุนู„ู‰ ุงู„ู€ scores ู†ูุชุฑุถ ุงู„ุทุงู„ุจ ุฃุฎุฐ ุงู…ุชุญุงู† ู…ุนูŠู† ูˆ
612
+
613
+ 154
614
+ 00:13:12,320 --> 00:13:15,840
615
+ ุฃุฎุฐ ุฏุฑุฌุฉ ู…ุนูŠู†ุฉุŒ ู†ูุชุฑุถ ู„ู€ 40 ุทุงู„ุจุŒ ุจุนุฏูŠู† ุบูŠุฑู†ุง
616
+
617
+ 155
618
+ 00:13:15,840 --> 00:13:18,040
619
+ ุงู„ุงุณู„ูˆุจุŒ ุตุงุฑ ุงู„ุทุงู„ุจ ุจูŠุงุฎุฏ ุงู„ู€ quizzes, homework,
620
+
621
+ 156
622
+ 00:13:18,360 --> 00:13:22,060
623
+ assignments ูˆูƒุฐุง ูˆุนุงุฏูŠ ุฃุดูˆู ุงู„ุงุณู„ูˆุจ ุงู„ุฌุฏูŠุฏุŒ ุงู„ู€
624
+
625
+ 157
626
+ 00:13:22,060 --> 00:13:24,980
627
+ new technique ุฃูˆ new teaching method ุงูŠุด ุงู„ู„ูŠ ูƒุงู†
628
+
629
+ 158
630
+ 00:13:24,980 --> 00:13:31,220
631
+ improvement ุนู„ู‰ ุงู„ู€ scores ูˆู„ุง ู„ุฃุŒ ุจุชุงู… ุณู†ุฉ before
632
+
633
+ 159
634
+ 00:13:31,220 --> 00:13:35,860
635
+ and after ูˆุงุถุญ ู‡ุฐุง ุงู„ู…ูู‡ูˆู… ุงู„ู€ related ุงู„ู€
636
+
637
+ 160
638
+ 00:13:35,860 --> 00:13:38,540
639
+ independent ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ูƒุงู† ุนุจุงุฑุฉ ุนู† two
640
+
641
+ 161
642
+ 00:13:38,540 --> 00:13:41,880
643
+ groups before .. ู…ุงูƒุงู†ุด before ูˆ after ูƒุงู†
644
+
645
+ 162
646
+ 00:13:41,880 --> 00:13:45,400
647
+ ู…ุฌู…ูˆุนุชูŠู† ู…ุซู„ู‹ุง ู…ุฌู…ูˆุนุฉ ุงู„ู€ stacks ุชุจุน ู†ูŠุณ ูˆุงู„ู€ stack
648
+
649
+ 163
650
+ 00:13:45,400 --> 00:13:49,040
651
+ ุจุชุงุนุฉ ู†ุงุณุฏุงูƒุŒ ุงุซู†ูŠู† ู…ุฎุชู„ูุชูŠู† ุฃูˆ ุจุฏูŠ ุฃู‚ุงุฑู† ุจุฑุงู…ุฌ
652
+
653
+ 164
654
+ 00:13:49,040 --> 00:13:52,440
655
+ ุทู„ุงุจ ูˆุทุงู„ุจุงุช males and femalesุŒ ูˆุงุถุญุŸ ูููŠ ุนู†ุฏูŠ
656
+
657
+ 165
658
+ 00:13:52,440 --> 00:13:55,360
659
+ ู…ุฌู…ูˆุนุชูŠู†ุŒ ู„ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ู…ุฌู…ูˆุนุชูŠู† ู…ุน ูƒุฏู‡ ู…ุฌู…ูˆุนุฉ
660
+
661
+ 166
662
+ 00:13:55,360 --> 00:13:58,060
663
+ ุงู„ุฃูˆู„ู‰ ู…ุง ุจุชุฃุซุฑุด ุนู„ู‰ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุซุงู†ูŠุฉุŒ ู„ูƒู† ู‡ู†ุงูƒ
664
+
665
+ 167
666
+ 00:13:58,060 --> 00:14:02,980
667
+ ู…ุง ูŠูƒูˆู†ุด ูู‚ุท ู…ุฌู…ูˆุนุฉ ูˆุงุญุฏุฉุŒ ุฎู„ุงุตุŸ ูˆุงุถุญุŒ ู†ุญูƒูŠ ุนู„ูŠู‡ุงุŸ
668
+
669
+ 168
670
+ 00:14:22,130 --> 00:14:34,650
671
+ ุฅุฐุง related populations ุจู†ุณู…ูŠู‡ุง
672
+
673
+ 169
674
+ 00:14:34,650 --> 00:14:44,110
675
+ ุงู„ู€ paired difference test ุงู„ู€ paired difference
676
+
677
+ 170
678
+ 00:14:44,110 --> 00:14:47,590
679
+ test
680
+
681
+ 171
682
+ 00:14:50,900 --> 00:14:54,820
683
+ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุง ุงู„ูˆุถุน ู†ุญู† ู†ุฌุฑุจ ู…ุตุงุฏุฑ ุฃุฒูˆุงุฌ ู…ุชู‚ุงุจู„ุฉ ู…ู†
684
+
685
+ 172
686
+ 00:14:54,820 --> 00:15:02,620
687
+ ุงุซู†ูŠู† ุจูŠุฑุฏ ุฃุฒูˆุงุฌ ุฃูˆ ุฃุฒูˆุงุฌ ู…ุชู‚ุงุจู„ุฉ ุฃู…ุง ุนู„ู‰ ุดูƒู„
688
+
689
+ 173
690
+ 00:15:02,620 --> 00:15:06,540
691
+ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
692
+
693
+ 174
694
+ 00:15:06,540 --> 00:15:09,560
695
+ ุฃู…ุง
696
+
697
+ 175
698
+ 00:15:09,560 --> 00:15:12,320
699
+ ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„
700
+
701
+ 176
702
+ 00:15:12,320 --> 00:15:13,760
703
+ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
704
+
705
+ 177
706
+ 00:15:13,760 --> 00:15:13,880
707
+ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰
708
+
709
+ 178
710
+ 00:15:13,880 --> 00:15:14,100
711
+ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ
712
+
713
+ 179
714
+ 00:15:14,100 --> 00:15:17,320
715
+ ุดูƒู„ ุงู„ุฃุฒูˆุงุฌ ุฃู…ุง ุนู„ู‰ ุดูƒู„
716
+
717
+ 216
718
+ 00:19:04,220 --> 00:19:12,520
719
+ ูƒู…ุจู„ูŠู† ูˆุตุงุฑ 26 ุงูุชุฑุถ ุฒุงุฏ plus three and so on ู‡ุฏูˆู„
720
+
721
+ 217
722
+ 00:19:12,520 --> 00:19:17,600
723
+ ุจู†ุณู…ูŠู‡ู… ุงู„ู€ differences ุงู„ูุฑู‚ุงุช
724
+
725
+ 218
726
+ 00:19:17,600 --> 00:19:24,840
727
+ ู‡ู„ ู‡ูŠ x1 minus x2 ุฃูˆ x2 minus x1 ูƒู„ ุญุงู…ู„ ู‡ูˆ just
728
+
729
+ 219
730
+ 00:19:24,840 --> 00:19:29,920
731
+ apply apply one symbol
732
+
733
+ 220
734
+ 00:19:32,540 --> 00:19:36,580
735
+ T-test for
736
+
737
+ 221
738
+ 00:19:36,580 --> 00:19:40,320
739
+ the
740
+
741
+ 222
742
+ 00:19:40,320 --> 00:19:46,420
743
+ differences ูƒู„ู†ุง
744
+
745
+ 223
746
+ 00:19:46,420 --> 00:19:52,140
747
+ ุณู†ูุนู„ู‡ุง ุณู†ุทุจู‚ ุงุฎุชุจุงุฑ T ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ููŠ Chapter 9 ุจุณ
748
+
749
+ 224
750
+ 00:19:52,140 --> 00:19:57,060
751
+ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ู€ differences ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡
752
+
753
+ 225
754
+ 00:19:57,060 --> 00:20:01,480
755
+ ููŠ Chapter 9. I just apply one sample test ู„ุฏู‰
756
+
757
+ 226
758
+ 00:20:01,480 --> 00:20:07,480
759
+ differences ุชุชุฐูƒุฑ T ูƒุงู†ุช ุนู…ูˆู…ุง ุฅูŠุด ูƒุงู†ุช X bar ู†ุงู‚ุต
760
+
761
+ 227
762
+ 00:20:07,480 --> 00:20:12,360
763
+ ู„ู…ูŠูˆ ุนู„ู‰ S ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู†ู…ุดูŠูƒ ู‡ุฐุง ุงู„ู€ test that ูƒุงู†
764
+
765
+ 228
766
+ 00:20:12,360 --> 00:20:17,320
767
+ ุดุทุฑ ุชุณุนุฉ ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุชู‡ ุง๏ฟฝ๏ฟฝู…ู„ applying ุงู„ู€ one
768
+
769
+ 229
770
+ 00:20:17,320 --> 00:20:21,440
771
+ sample test ู„ู…ูŠู†ุŸ ู„ุฏู‰ differences ูŠุนู†ูŠ ุจุฏู„ ู…ุง ูƒุงู†ุช
772
+
773
+ 230
774
+ 00:20:21,440 --> 00:20:30,160
775
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ุณุชุจุฏู„ ุงู„ู€ X bar ุจู€ D bar ุจู†ู‚ุต ู…ูŠูˆ ูˆ
776
+
777
+ 231
778
+ 00:20:30,160 --> 00:20:33,580
779
+ ู…ูŠูˆ ูŠุญูƒูˆ ุงู„ู€ difference ูˆุจุนุฏ ุงู„ู€ S ูŠุญูƒูˆ SD ุนู„ู‰ ุฌุฒุฑ
780
+
781
+ 232
782
+ 00:20:33,580 --> 00:20:37,380
783
+ ุงู„ู„ู‡ ุฅุฐุง
784
+
785
+ 233
786
+ 00:20:37,380 --> 00:20:41,000
787
+ ู…ุงููŠุด ุงุฎุชู„ุงู ุจูŠู† ุงู„ุงุชู†ูŠู† ูƒู„ ุจูŠุนู…ู„ ูˆ ุจูŠุทู„ุน ุงู„ู€
788
+
789
+ 234
790
+ 00:20:41,000 --> 00:20:44,940
791
+ differences and just apply the t test for these
792
+
793
+ 235
794
+ 00:20:44,940 --> 00:20:49,560
795
+ differences ุจุทุจู‚ ุงู„ู€ test ุนู„ูŠู‡ู… ูˆุงู„ู€ test statistic
796
+
797
+ 236
798
+ 00:20:49,560 --> 00:20:53,340
799
+ ู‡ูŠ D bar minus ู…ูŠูˆ D ุนู„ู‰ SD ุนู„ู‰ ุฌุฒุฑ ุงู„ู„ู‡ ุทุจุนุง ุงู„ู€
800
+
801
+ 237
802
+ 00:20:53,340 --> 00:20:55,560
803
+ test ุชู‡ุช ู†ูุณูŠ ููŠ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ degrees of freedom
804
+
805
+ 238
806
+ 00:20:55,560 --> 00:20:57,120
807
+ ุจุชุณุงูˆูŠ n ู†ุงู‚ุต ูˆุงุญุฏุฉ
808
+
809
+ 239
810
+ 00:21:00,710 --> 00:21:03,750
811
+ ู„ู…ุง ุฃู†ุง ูƒุฏู‡ ู„ูˆ ุงุชูƒู„ู… ุนู† ุงู„ู€ pair difference test ูƒู„
812
+
813
+ 240
814
+ 00:21:03,750 --> 00:21:07,870
815
+ ู…ุง ุจู†ุดุชุฑูŠ ุนู„ูŠู‡ ู†ูุณ ุงู„ู€ T ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ููŠ chapter 9
816
+
817
+ 241
818
+ 00:21:07,870 --> 00:21:12,490
819
+ ุงู„ุงุฎุชู„ุงู ุงู„ูˆุญูŠุฏ ุจู†ุทู„ุน ุงู„ู€ differences ูˆ ุจู†ุดุชุฑูŠ
820
+
821
+ 242
822
+ 00:21:12,490 --> 00:21:16,770
823
+ ุนู„ูŠู‡ู… ูˆุงู„ู€ differences ุฅู…ุง after ู†ู‚ุต before ุฃูˆ
824
+
825
+ 243
826
+ 00:21:16,770 --> 00:21:20,890
827
+ before ู†ู‚ุต after ุงู„ูุฑู‚ ุจุณ ููŠ ุฅุฐุง ูƒุงู†ุช positive
828
+
829
+ 244
830
+ 00:21:20,890 --> 00:21:26,190
831
+ ุจูŠุตูŠุฑ negative ุฃูˆ ุงู„ุนูƒุณ ุฎู„ุงุต ู†ุทู„ุน ุงู„ู€ example ุทุจุนุง
832
+
833
+ 245
834
+ 00:21:26,190 --> 00:21:30,600
835
+ ุงู„ู„ูŠุงู„ hypotheses ู†ูุณ ุงู„ุฌุซุฉ two-tailed upper-tailed
836
+
837
+ 246
838
+ 00:21:30,600 --> 00:21:34,480
839
+ lower-tailed ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุญู„ุฉ ุงู„ุณุงุจู‚ุฉ ุฒูŠ
840
+
841
+ 247
842
+ 00:21:34,480 --> 00:21:37,140
843
+ ู…ุง ุญูƒูŠุช ุงู„ูƒู„ุงู… ู…ุชูƒุฑุฑ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุชุณุนุฉ ุงู„ู„ูŠ ุฃู†ุง
844
+
845
+ 248
846
+ 00:21:37,140 --> 00:21:42,640
847
+ ุจุชุทุจู‚ู‡ ุจุณ ุจุชุทุจู‚ู‡ ุนู„ู‰ ุงู„ู€ difference ุงู„ู€ confidence
848
+
849
+ 249
850
+ 00:21:42,640 --> 00:21:51,920
851
+ intervals ุฏูŠ ุงุญู†ุง ุนู…ู„ู†ุง ู„ู‡ุง skip ู…ู† ุงู„ุฃูˆู„ ุงู„ู€
852
+
853
+ 250
854
+ 00:21:51,920 --> 00:21:58,210
855
+ exam ุงู„ู„ูŠ ุจูŠุญูƒูŠ ุงู„ู‚ุงุชู„ assume you send your sales
856
+
857
+ 251
858
+ 00:21:58,210 --> 00:22:01,830
859
+ people to a customer service training workshop
860
+
861
+ 252
862
+ 00:22:01,830 --> 00:22:07,570
863
+ ู…ูุชุฑุถ ุฃู†ุช ุจุชุดุชุบู„ ููŠ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ูˆู…ุณุคูˆู„ุฉ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ
864
+
865
+ 253
866
+ 00:22:07,570 --> 00:22:15,270
867
+ ู…ูˆุธููŠู† ุจูŠุดุชุบู„ูˆุง as sales people ูˆู‡ุฏูˆู„ ู…ูุชุฑุถ ุจุนุชู‡ู…
868
+
869
+ 254
870
+ 00:22:15,270 --> 00:22:21,890
871
+ ุนู„ู‰ training workshop ู„ู‡ุง ุนู„ุงู‚ุฉ ุจูŠุดุจู‡ customer
872
+
873
+ 255
874
+ 00:22:21,890 --> 00:22:26,950
875
+ service ูƒูŠู ุชุฎุฏู… ุงู„ุฒุจุงุฆู† ุฏูˆุฑุฉ ููŠ ุงู„ู€ skills ู„ุฎุฏู…ุฉ
876
+
877
+ 256
878
+ 00:22:26,950 --> 00:22:31,230
879
+ ุงู„ุฒุจุงุฆู† ูุจูŠุณุฃู„ has the training made a difference
880
+
881
+ 257
882
+ 00:22:31,230 --> 00:22:34,390
883
+ in the number of complaintsุŸ ู‡ู„ ู„ู…ุง ุงู„ุดุฎุต ุญุถุฑ
884
+
885
+ 258
886
+ 00:22:34,390 --> 00:22:38,210
887
+ ุงู„ุฏูˆุฑุฉ ู‡ุฐุง ุฃูˆ ุงู„ู€ workshop ุนู…ู„ ุงุฎุชู„ุงู ููŠ ุนุฏุฏ
888
+
889
+ 259
890
+ 00:22:38,210 --> 00:22:43,510
891
+ ุงู„ุดูƒุงูˆูŠ ุงู„ู„ูŠ ุฌุช ุนู„ูŠู‡ ู‡ูˆ ู…ุด ุนุงูŠุฒ ุณูˆุงุก ูƒุงู†ุช ุฒุงุฏุช ุฃูˆ
892
+
893
+ 260
894
+ 00:22:43,510 --> 00:22:46,710
895
+ ู†ู‚ุตุช ูˆุนุงูŠุฒ ูŠูƒูˆู† ููŠู‡ ูุฑู‚ ูˆู„ุง ู„ุง ุฃู†ุง ุจุชูƒู„ู… ุนู„ู‰ two
896
+
897
+ 261
898
+ 00:22:46,710 --> 00:22:52,550
899
+ -thirds ูˆู†ูุชุฑุถ ุฃู†ูƒ ุชุฎู„ู‚ ุงู„ู€ data ุงู„ู…ุชุจู‚ูŠุฉ ุฃุนุทุงู†ูŠ ..
900
+
901
+ 262
902
+ 00:22:52,550 --> 00:22:56,670
903
+ ุทุจุนุง ุงู„ู€ sample size ุตุบูŠุฑ ุนุดุงู† .. ุฃุนุฑู ุฃุญุณุจ ู„ุฃู† ู‡ูŠ
904
+
905
+ 263
906
+ 00:22:56,670 --> 00:23:01,970
907
+ ุจุฏู‡ุง ุญุณุงุจุงุช ูุฃุนุทุงู†ูŠ ุงู„ู€ sales person five people ุฃูˆ
908
+
909
+ 264
910
+ 00:23:01,970 --> 00:23:05,210
911
+ five sales people ูˆ ุฃุนุทุงู†ูŠ number of complaints
912
+
913
+ 265
914
+ 00:23:05,210 --> 00:23:10,370
915
+ ุงู„ุดุฎุต ุงู„ุฃูˆู„ ูƒุงู† ุนู„ูŠู‡ ุณุชุฉ ุจุนุฏ ุงู„ู€ training workshop
916
+
917
+ 266
918
+ 00:23:10,370 --> 00:23:15,230
919
+ ุตุงุฑ ุฃุฑุจุนุฉ ูŠุนู†ูŠ ูˆุถุนู‡ ุงุชุญุณู† ู…ุด ู‡ูŠ ุงู„ู€ ten ูƒุงู† ุนู„ูŠู‡
920
+
921
+ 267
922
+ 00:23:15,230 --> 00:23:22,880
923
+ ุนุดุฑูŠู† ุตุงุฑ ุณุชุฉ ุดูˆู ุฏุงุฆู…ุง ุงู„ุชุญุณู† ุจูŠุตูŠุฑ ู„ู„ู†ุงุณ ุงู„ู„ูŠ
924
+
925
+ 268
926
+ 00:23:22,880 --> 00:23:25,100
927
+ ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ ูƒุชูŠุฑ ุฃูƒุชุฑ ู…ู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุนู„ูŠู‡ู… ุดูƒุงูˆูŠ
928
+
929
+ 269
930
+ 00:23:25,100 --> 00:23:28,900
931
+ ุฃู‚ู„ุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ุงู„ู„ูŠ ุนู„ูŠู‡ ุดูƒุงูˆูŠ ู‚ู„ูŠู„ ู‡ูˆ already
932
+
933
+ 270
934
+ 00:23:28,900 --> 00:23:33,660
935
+ ูƒูˆูŠุณ ู„ูƒู† ู„ู…ุง ูŠุงุฎุฏ ุงู„ุฏูˆุฑุฉ ุจูŠุชุญุณู† ุจุณ ุจุฑุถู‡ ูŠุนู†ูŠ ู…ุด
936
+
937
+ 271
938
+ 00:23:33,660 --> 00:23:36,520
939
+ ู‡ูŠูƒูˆู† ุงู„ูุฑู‚ ุฒูŠ ุงู„ูุฑู‚ ุงู„ุฃูˆู„ ุฒูŠ ุจุงู„ุธุจุท ุทุงู„ุจ ุจูŠูƒูˆู†
940
+
941
+ 272
942
+ 00:23:36,520 --> 00:23:42,360
943
+ ุฌุงูŠ ุจุณุชูŠู† ูˆุงุฎุฏ ุฏูˆุฑุฉ ุงูุชุฑุถ ุฃุฎุฏ ู…ุฌู…ูˆุนุฉ ุดุบู„ุงุช ุชุญุณู†
944
+
945
+ 273
946
+ 00:23:42,360 --> 00:23:45,800
947
+ ู…ุณุชูˆุงู‡ ู…ู…ูƒู† ูŠุตู„ ุซู…ุงู†ูŠู† ุฃูˆ ู…ู…ูƒู† ุฃู†ุง ุฃุฑุชูุน ู…ู† ุณุชูŠู†
948
+
949
+ 274
950
+ 00:23:45,800 --> 00:23:50,900
951
+ ู„ุซู…ุงู†ูŠู† ๏ฟฝ๏ฟฝูƒู† ู„ูˆ ูˆุงุญุฏ ุฌุงุจ ุซู…ุงู†ูŠู† ุตุนุจ ูŠุตูŠุฑ ู…ูŠุฉ ู…ู…ูƒู†
952
+
953
+ 275
954
+ 00:23:50,900 --> 00:23:54,580
955
+ ูŠุฌูŠุจ ุฎู…ุณุฉ ูˆุซู…ุงู†ูŠู†ุŒ ุชุณุนูŠู†ุŒ ุฃุฒู‡ุงุฑ ูุชู„ุงุญุธ ู…ุซู„ุง ุงู„ุดุฎุต
956
+
957
+ 276
958
+ 00:23:54,580 --> 00:23:57,680
959
+ ุงู„ู„ูŠ ูƒุงู† ูŠุนู†ูŠ ุนุดุฑูŠู† complaint ุตุงุฑ ุณุชุฉ it makes
960
+
961
+ 277
962
+ 00:23:57,680 --> 00:24:01,820
963
+ sense ู„ุฃู† ู‡ูˆ ุนู„ูŠู‡ ู…ุดุงูƒู„ ูƒุชูŠุฑ ูุงู„ุฏูˆุฑุฉ ู‡ุฏุจุช ูˆุญุณู†ุช ู…ู†
964
+
965
+ 278
966
+ 00:24:01,820 --> 00:24:06,320
967
+ ุชุนุงู…ู„ู‡ ุทุจุนุง ุงู„ู„ูŠ ูƒุงู† ุซู„ุงุซุฉ ุตุงุฑุช ุงุซู†ูŠู† ุงู„ู„ูŠ ู…ุงุนู„ูŠู‡ูˆุด
968
+
969
+ 279
970
+ 00:24:06,320 --> 00:24:13,540
971
+ ู…ู…ูƒู† ูŠุฒูŠุฏ ูˆุงู„ู„ูŠ ูƒุงู† ุนู„ูŠู‡ ุฃุฑุจุนุฉ ุตุงุฑ ุนู„ูŠู‡ ุตูุฑ ู‡ุฐุง
972
+
973
+ 280
974
+ 00:24:13,540 --> 00:24:18,070
975
+ ุงู„ู€ data ุงู„ู„ูŠ ุนู†ุฏูŠ ููŠ ุงู„ุฃูˆู„ ุงู„ู€ four training
976
+
977
+ 281
978
+ 00:24:18,070 --> 00:24:23,230
979
+ workshop ูˆุจุนุฏ ุงู„ู€ training ุฅูŠุด ูƒู„ู‡ ู‡ู†ุนู…ู„ู‡ as
980
+
981
+ 282
982
+ 00:24:23,230 --> 00:24:30,650
983
+ first step ุฃูˆู„ ุฎุทูˆุฉ ุจุทู„ุน ุงู„ู€ differences ูˆ ุฒูŠ ู…ุง
984
+
985
+ 283
986
+ 00:24:30,650 --> 00:24:35,810
987
+ ุญูƒูŠุช ุงู„ู€ difference ุฅู…ุง ุจุทู„ุนู‡ุง after ู†ู‚ุต before ุฃูˆ
988
+
989
+ 284
990
+ 00:24:35,810 --> 00:24:39,850
991
+ before ู†ู‚ุต after ุฅุฐุง
992
+
993
+ 285
994
+ 00:24:39,850 --> 00:24:43,570
995
+ ู‡ูŠ before ูˆู‡ูŠ after
996
+
997
+ 286
998
+ 00:24:47,880 --> 00:24:51,060
999
+ ุงู„ู€ 6 ูˆ 4 ู‡ูŠ ุงู„ู€ difference ุงู„ู„ูŠ ู‡ูŠ after ู‡ูŠุงุฎุฏู‡ุง
1000
+
1001
+ 287
1002
+ 00:24:51,060 --> 00:24:56,580
1003
+ ู†ู‚ุต before minus
1004
+
1005
+ 288
1006
+ 00:24:56,580 --> 00:25:03,580
1007
+ 10 ู…ุด ู‡ูŠูƒ 4 ู†ู‚ุต 6 ุงู„ุดุฎุต ุงู„ุซุงู†ูŠ 20 ูˆุตุงุฑ 6 negative
1008
+
1009
+ 289
1010
+ 00:25:03,580 --> 00:25:15,460
1011
+ 14 3 2 minus 1 0 0 ุฃูƒูŠุฏ 0 ุฃุฎุฑ ูˆุงุญุฏ 4 0 negative
1012
+
1013
+ 290
1014
+ 00:25:19,580 --> 00:25:26,860
1015
+ ู‡ุฏูˆู„ ุงู„ู€ differences ุงู„ู„ูŠ ุฃู†ุง ุญูƒูŠุช ุนู„ูŠู‡ู… ุจุนู…ู„ู‡ู… one
1016
+
1017
+ 291
1018
+ 00:25:26,860 --> 00:25:30,560
1019
+ sample t-test ูƒู„ ุญุงุฌุฉ ุนุงู…ู„ุฉ ู‡ุชุทู„ุน ุฏูŠ barุŒ ุจู†ุงุฑููŠ
1020
+
1021
+ 292
1022
+ 00:25:30,560 --> 00:25:34,080
1023
+ ุฃุทู„ุน ุฏูŠ bar ู…ุด ุดูŠุก ุฃู†ุง ุฃุนู…ู„ ูƒุฏู‡ ุนู„ู‰ ุงู„ู€ Excel ุนุดุงู†
1024
+
1025
+ 293
1026
+ 00:25:34,080 --> 00:25:36,000
1027
+ ู†ุชุฃูƒุฏ ุจุณ ู…ู† ุงู„ุฅุฌุงุจุงุช ุงู„ู…ูˆุฌูˆุฏุฉ
1028
+
1029
+ 294
1030
+ 00:25:50,860 --> 00:26:02,220
1031
+ ู„ุญุธุฉ ุฃู†ุง ูƒู„ ุญุงุฌุฉ ุฃุนู…ู„ู‡ ู‡ุงุฎุฏ ุงู„ู€ differences ุงู„ู„ูŠ
1032
+
1033
+ 295
1034
+ 00:26:02,220 --> 00:26:10,680
1035
+ ู‡ู… ุงู„ู€ negative two ุงู„ู„ูŠ ุจุนุฏู‡ุง ูƒุฏู‡ ู†ู‚ุต 14 ุจุนุฏูŠู†
1036
+
1037
+ 296
1038
+ 00:26:10,680 --> 00:26:18,720
1039
+ ุณู„ุจ 1 ุณู„ุจ 4 ู‡ุทู„ุน
1040
+
1041
+ 297
1042
+ 00:26:18,720 --> 00:26:19,400
1043
+ ุงู„ู€ mean ุงู„ู„ูŠ ู‡ู…
1044
+
1045
+ 298
1046
+ 00:26:33,240 --> 00:26:40,920
1047
+ -4.2 ุงู„ู€ mean ุงู„ู„ูŠ ุจุฌู…ุน ู‡ุฏูˆู„ ุจุฌู…ุน ุงู„ุนุฏุฏ ูˆ negative
1048
+
1049
+ 299
1050
+ 00:26:40,920 --> 00:26:45,520
1051
+ two ูˆ negative fourteen ูˆ negative one ูˆ zero ูˆ
1052
+
1053
+ 300
1054
+ 00:26:45,520 --> 00:26:47,560
1055
+ negative four ุนู„ู‰ five
1056
+
1057
+ 301
1058
+ 00:26:52,960 --> 00:26:56,220
1059
+ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ุจู‚ู‰ ุจุชุทู„ุน ุงู„ู€ standard deviation ุญุณุจ
1060
+
1061
+ 302
1062
+ 00:26:56,220 --> 00:27:03,880
1063
+ ุงู„ู‚ุงู†ูˆู† summation ุงู„ู€ D ุนู„ู‰ ุงู„ู€ n ู†ู‚ุต ูˆุงุญุฏ under
1064
+
1065
+ 303
1066
+ 00:27:03,880 --> 00:27:08,700
1067
+ square root ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ู€ D ู…ูˆุฌูˆุฏุฉ ุนู†ุฏ ู…ุดุงูƒู„ ุจุนู…ู„ ุฃูˆู„
1068
+
1069
+ 304
1070
+ 00:27:08,700 --> 00:27:16,680
1071
+ ุจุทู„ุน ุงู„ู€ D ู†ู‚ุต D bar ุชุฑุจูŠุน ุจุงุฎุฏ ู‡ุฐู‡ ุงู„ุณุงู„ุจ 2 ู†ู‚ุต 4.2
1072
+
1073
+ 305
1074
+ 00:27:16,680 --> 00:27:24,220
1075
+ ูˆ ุจุฑุจุนู‡ุงุŒ ู…ุธุจูˆุทุŸ ุจุนุฏูŠู† ู†ู‚ุต 14 ุณู„ุจ 4.2 ูˆ ุจุฑุจุนู‡ุง ุฃู‡
1076
+
1077
+ 306
1078
+ 00:27:24,220 --> 00:27:29,460
1079
+ ุจูŠุตูŠุฑ ุฒุงุฆุฏ ุจุนุฏูŠู† ู‡ูŠ ุงู„ุตูุฑ ุงู„ุณุงู„ุจ ุจูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุฒุงุฆุฏ
1080
+
1081
+ 307
1082
+ 00:27:29,460 --> 00:27:32,640
1083
+ ุจุนุฏูŠู†
1084
+
1085
+ 308
1086
+ 00:27:32,640 --> 00:27:37,620
1087
+ ุงู„ุณุงู„ุจ ุฃุฑุจุนุฉ ุฒุงุฆุฏ ูุจู‚ู‰ ุณุงู„ุจ ุณุงู„ุจ ู…ูˆุฌุจ ุงู„ู€ D ู†ู‚ุต D
1088
+
1089
+ 309
1090
+ 00:27:37,620 --> 00:27:43,280
1091
+ bar ุงู„ู€ D bar ุณุงู„ุจ ู„ูˆ ุนู…ู„ุช ู‡ูŠูƒ ููŠ ุงู„ุขุฎุฑ ุงู„ุฌูˆุงุจ
1092
+
1093
+ 310
1094
+ 00:27:43,280 --> 00:27:52,680
1095
+ ู‡ูŠุทู„ุน ู…ุนูŠ ุงู„ู€ standard deviation ุงู„ู‚ูŠุงู…
1096
+
1097
+ 311
1098
+ 00:27:55,180 --> 00:28:00,080
1099
+ 5.67 ุณู‡ู„
1100
+
1101
+ 312
1102
+ 00:28:00,080 --> 00:28:05,500
1103
+ ุชุญุณุจูŠู‡ู…ุŒ ู…ุด ู‡ูŠูƒ ู„ุญุธุฉ ุงู„ู€ values ู„ู„ู€ difference are
1104
+
1105
+ 313
1106
+ 00:28:05,500 --> 00:28:08,980
1107
+ negative ู„ูƒู† ุงู„ู€ standard deviation ู…ุงู„ู‡ุŸ positive
1108
+
1109
+ 314
1110
+ 00:28:08,980 --> 00:28:13,060
1111
+ ุฏุงุฆู…ุง ุงู„ู€ standard deviation is non negative ุฏุงุฆู…ุง
1112
+
1113
+ 315
1114
+ 00:28:13,060 --> 00:28:18,020
1115
+ ุงู„ู€ S ุฃูƒุจุฑ ู…ู† ุฃูˆ ุชุณุงูˆูŠ ุตูุฑ ุฃูƒูŠุฏ ููŠ ุนูŠูˆู† ุงู„ุชุฑุจูŠุฉ ู…ูˆุฌูˆุฏุฉ
1116
+
1117
+ 316
1118
+ 00:28:18,020 --> 00:28:23,850
1119
+ ู…ุธุจูˆุท ูู‚ู„ุช ู„ูƒ ุฃูƒูŠุฏ ู‡ูŠุทู„ุน ู…ูˆุฌุจ ุทูŠุจ ุงู„ุขู† ุญุณุจุชุงู„ู€ D
1120
+
1121
+ 317
1122
+ 00:28:23,850 --> 00:28:28,090
1123
+ bar negative 4.2 ูˆุงู„ู€ SD 5.67 ู…ุงู‡ูŠ ุงู„ุณุจุจ ุงู„ู„ูŠ
1124
+
1125
+ 318
1126
+ 00:28:28,090 --> 00:28:38,050
1127
+ ุจุนุฏู‡ุง ุจุชุทู„ุน T test T statistic ุนุดุงู† ุฃุทู„ุน ู‡ูŠ ุนุจุงุฑุฉ
1128
+
1129
+ 319
1130
+ 00:28:38,050 --> 00:28:44,390
1131
+ ุนู† D bar minus Mu D ุนู„ู‰ S ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ู‡ูˆ ููŠ ุงู„ู…ุซู„
1132
+
1133
+ 320
1134
+ 00:28:44,390 --> 00:28:49,150
1135
+ ุงู„ู„ูŠ ุญูƒู‰ has the training made a difference in the
1136
+
1137
+ 321
1138
+ 00:28:49,150 --> 00:28:55,370
1139
+ number of complaints ู…ุน ูƒุฏู‡ ุงู„ู€ mu ุฏูŠ ุจุชุตูˆู… ุตูุฑ ู„ุฃู†
1140
+
1141
+ 322
1142
+ 00:28:55,370 --> 00:29:02,250
1143
+ ู…ุงููŠุด ูุฑู‚ against there is a difference ุทุจุนุง ุงุญู†ุง
1144
+
1145
+ 323
1146
+ 00:29:02,250 --> 00:29:07,290
1147
+ ุฃุฎุฐู†ุง ุงู„ู€ D ุฃูุถู„ ู†ู‚ุต ู…ู† ููˆู‚ ู„ุฃู† ุงู„ู€ D statistic
1148
+
1149
+ 324
1150
+ 00:29:07,290 --> 00:29:17,270
1151
+ ู‡ุชุณุงูˆูŠ ุงู„ู€ D bar negative 4.2 ุงู„ู€ S D 5.67 ูˆุงู„ู€ N
1152
+
1153
+ 325
1154
+ 00:29:17,270 --> 00:29:18,750
1155
+ ูƒู„ู‡ู… ู…ูˆุฌูˆุฏุฉ ุงู„ู„ูŠ ู‡ู… ุงู„ุฎู…ุณุฉ
1156
+
1157
+ 326
1158
+ 00:29:22,910 --> 00:29:31,150
1159
+ ุจุทู„ุน ุงู„ุฌูˆุงุจ negative 1.66 ุฅุฐุง step one ุจุนู…ู„
1160
+
1161
+ 327
1162
+ 00:29:31,150 --> 00:29:35,250
1163
+ computations ู„ู„ู€ differences ูˆุจุทู„ุน ุงู„ู€ D bar ูˆุงู„ู€
1164
+
1165
+ 328
1166
+ 00:29:35,250 --> 00:29:39,570
1167
+ SD second step compute the value of the statistic
1168
+
1169
+ 329
1170
+ 00:29:39,570 --> 00:29:45,950
1171
+ ุงู„ู„ูŠ ุจุนุฏ ุฏู‡ ุจุทู„ุน ุงู„ู€ critical values ุทุจ ูˆุงุถุญ ุฃู†ูŠ
1172
+
1173
+ 330
1174
+ 00:29:45,950 --> 00:29:49,990
1175
+ ุนู†ุฏูŠ two tailed test ู…ุด ู‡ูŠูƒ Degrees of freedom N-1
1176
+
1177
+ 331
1178
+ 00:29:49,990 --> 00:30:01,030
1179
+ ุงู„ู€ N 5-1 ุฃูƒูŠุฏ ูˆ 4 ู…ู† ุงู„ู€ table ุจุชุทู„ุน 4.604 ูˆ minus
1180
+
1181
+ 332
1182
+ 00:30:01,030 --> 00:30:04,930
1183
+ T alpha over 2 ู†ูุณ ุงู„ู‚ูŠู…ุฉ ุจุณ ุจุงู„ู€ negative ูุงู„ู€
1184
+
1185
+ 333
1186
+ 00:30:04,930 --> 00:30:09,750
1187
+ critical values are 4.64 ูˆ negative 4 ู‡ุฐู‡ ุจุชุทู„ุน ู…ู†
1188
+
1189
+ 334
1190
+ 00:30:09,750 --> 00:30:17,090
1191
+ ูˆูŠู†ุŸ ุฃูˆ ู…ู† ุงู„ู€ table ู„ุญุธุฉ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ 4 ุฃู„ูุฉ ููŠ ู‡ุฐู‡
1192
+
1193
+ 335
1194
+ 00:30:17,090 --> 00:30:22,390
1195
+ ุงู„ุญุงู„ุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1196
+
1197
+ 336
1198
+ 00:30:22,390 --> 00:30:23,450
1199
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1200
+
1201
+ 337
1202
+ 00:30:23,450 --> 00:30:24,450
1203
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1204
+
1205
+ 338
1206
+ 00:30:24,450 --> 00:30:25,270
1207
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1208
+
1209
+ 339
1210
+ 00:30:25,270 --> 00:30:27,190
1211
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1212
+
1213
+ 340
1214
+ 00:30:27,190 --> 00:30:28,830
1215
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„
1216
+
1217
+ 341
1218
+ 00:30:28,830 --> 00:30:43,750
1219
+ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ ุฃูˆู„ ุดุฎุตูŠุฉ
1220
+
1221
+ 342
1222
+ 00:30:44,770 --> 00:30:52,690
1223
+ ุฅูŠุด ุงู„ุฌูˆุงุจุŸ 4.604
1224
+
1225
+ 343
1226
+ 00:30:52,690 --> 00:30:59,610
1227
+ ููŠ ุงู„ุฃูˆู„ ู†ุฌุฏ ุงู„ู€ degrees of freedom ุงู„ู„ูŠ ู‡ูˆ 4 ุจุนู…ู„
1228
+
1229
+ 344
1230
+ 00:30:59,610 --> 00:31:04,410
1231
+ intersection ู…ุน alpha over 2 which is 0.005 which
1232
+
1233
+ 345
1234
+ 00:31:04,410 --> 00:31:11,320
1235
+ is 4.604 ูˆุงุถุญ ูƒูŠูุŸ ุฅุฐุง ู‡ุฐูˆู„ ุงู„ู€ critical values
1236
+
1237
+ 346
1238
+ 00:31:11,320 --> 00:31:15,820
1239
+ ู†ุชูุฑุฌ ุฅุฐุง ู‚ูŠู…ุฉ ุงู„ุงุณุชุงุชูŠูƒุฒ ุชุชูุฑุฌ ููŠ ุงู„ู…ู†ุทู‚ุฉ
1240
+
1241
+ 347
1242
+ 00:31:15,820 --> 00:31:23,480
1243
+ ุงู„ู€ rejection ูˆุงุถุญ ุฃู† ุงู„ู€ negative 1.66 ู„ูŠุณ ุฃูƒุจุฑ ู…ู† 4
1244
+
1245
+ 348
1246
+ 00:31:23,480 --> 00:31:27,820
1247
+ ูˆู„ุง ุฃุตุบุฑ ู…ู† negative 4.6 ูŠุนู†ูŠ ุงู„ู€ negative 1.6
1248
+
1249
+ 349
1250
+ 00:31:27,820 --> 00:31:33,800
1251
+ ุชุชูุฑุฌ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู€ rejection ููŠ ู…ู†ุทู‚ุฉ ุนุฏู… ุงู„ุฑูุถ ูˆุงุถุญุŸ
1252
+
1253
+ 350
1254
+ 00:31:35,280 --> 00:31:39,540
1255
+ ู…ุนู†ู‰ ูƒุฏู‡ ุฅูŠุดุŸ fail to reject null ุฅุฐุง ุฅูŠุด
1256
+
1257
+ 351
1258
+ 00:31:39,540 --> 00:31:43,280
1259
+ conclusionุŸ there is insufficient evidence of a
1260
+
1261
+ 352
1262
+ 00:31:43,280 --> 00:31:45,980
1263
+ change in the number of complaints ู…ุงููŠุด ุฃุฏู„ุฉ ุชุฏุนู‰
1264
+
1265
+ 353
1266
+ 00:31:45,980 --> 00:31:50,320
1267
+ ุนู† ุฃู† ููŠู‡ ูุฑู‚ ููŠ ุงู„ุดูƒุงูˆู‰ ุทุจ ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ู€ training
1268
+
1269
+ 354
1270
+ 00:31:50,320 --> 00:31:54,700
1271
+ workshop ูƒุงู†ุช effective ูˆู„ุง not effectiveุŸ ู…ุคุซุฑุฉ
1272
+
1273
+ 355
1274
+ 00:31:54,700 --> 00:32:00,040
1275
+ ูˆู„ุง ุบูŠุฑ ู…ุคุซุฑุฉุŸ ู‡ูˆ ุงู„ู€ number of complaints ู…ุง ุชุบูŠุฑุดุŒ
1276
+
1277
+ 356
1278
+ 00:32:00,040 --> 00:32:02,880
1279
+ ู…ุน ูƒุฏู‡ ุบูŠุฑ ู…ุคุซุฑุฉุŒ ู…ุน ูƒุฏู‡ ุงู„ู€ training workshop was
1280
+
1281
+ 357
1282
+ 00:32:02,880 --> 00:32:08,920
1283
+ ineffective ู…ุง ู„ู‡ูˆุด ุชุฃุซูŠุฑ ุจุงู„ุฑุบู… ุฃู† ุชู„ุงุญุธูŠ ุนู„ู‰ ุงู„ู€
1284
+
1285
+ 358
1286
+ 00:32:08,920 --> 00:32:15,120
1287
+ data ู…ูˆุฌูˆุฏุฉ ููŠ ู†ุงุณ ู†ู‚ุตุฏ ุจุณ ูŠุนู†ูŠ ููŠ ุชุญุณู† ุจุณ ุงู„ุชุญุณู†
1288
+
1289
+ 359
1290
+ 00:32:15,120 --> 00:32:19,580
1291
+ ู…ุด ูƒุจูŠุฑ ุจุฑุถู‡ ุงู„ู€ data ุตุบูŠุฑุฉ ู…ุง ุฃู‚ุฏุฑุด ุฃุญูƒู… ู„ูƒู† ู‡ูŠ ูƒุงู†ุช
1292
+
1293
+ 360
1294
+ 00:32:19,580 --> 00:32:22,560
1295
+ ู…ุฌุฑุฏ example we don't reject null hypothesis
1296
+
1297
+ 361
1298
+ 00:32:22,560 --> 00:32:28,700
1299
+ means the training workshop was ineffective ูƒุงู†ุช
1300
+
1301
+ 362
1302
+ 00:32:28,700 --> 00:32:34,770
1303
+ ู…ุด ูุนุงู„ุฉ ุทูŠุจ ู„ูˆ ูˆุงุญุฏ ุนูƒุณ ุฅูŠุด ุนูƒุณุŸ ูŠุนู†ูŠ ุจุฏู„ ู…ุง ุฃุฎุฐ
1304
+
1305
+ 363
1306
+ 00:32:34,770 --> 00:32:42,030
1307
+ after ู†ู‚ุต before ุฃุฎุฐ before ู†ู‚ุต after ูƒู„ู‡ ู‡ูŠุฎุชู„ู
1308
+
1309
+ 364
1310
+ 00:32:42,030 --> 00:32:49,050
1311
+ ู…ุนุงู‡ ุฃู‡ ุจุณ ุงู„ุณุงู„ุจ ู‡ุฐุง ู‡ูŠุณูŠุฑ plus ูˆุงู„ู€ SD ุจุชุจู‚ู‰ ูƒู…ุง
1312
+
1313
+ 365
1314
+ 00:32:49,050 --> 00:32:54,050
1315
+ ู‡ูŠ ูˆุงู„ู€ critical .. ูˆุงู„ู€ T ู‡ุฐู‡ ุจุชุชุบูŠุฑ ู‡ุชุตูŠุฑ plusุŒ
1316
+
1317
+ 366
1318
+ 00:32:54,050 --> 00:33:00,190
1319
+ ู…ุธุจูˆุทุŸ ู‡ุฐู‡ plus ูˆุงู„ู€ T alpha over two ุงู„ุชุงู…ุฉ ูƒู…ุง
1320
+
1321
+ 367
1322
+ 00:33:00,190 --> 00:33:12,310
1323
+ ู‡ูŠ ูˆู„ุง ู„ูˆ ุทู„ุนุช ู‡ู„ ุงู„ู€ 1.66 ุฃู‚ู„ ู…ู† ุงู„ู€ 4 ู„ุฃ
1324
+
1325
+ 368
1326
+ 00:33:12,310 --> 00:33:17,450
1327
+ ู…ุด ู‡ุชูƒูˆู† ุฃูƒุจุฑ ูˆู‚ุน ุจุฑุถู‡ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุฅุฐุง ู†ูุณ ุงู„ู‚ุฑุงุฑ ุฅุฐุง
1328
+
1329
+ 369
1330
+ 00:33:17,450 --> 00:33:21,230
1331
+ ุณูˆุงุก ุฎุฏุชู‡ุง before ู†ู‚ุต after ุฃูˆ after ู†ู‚ุต 4 we end
1332
+
1333
+ 370
1334
+ 00:33:21,230 --> 00:33:26,930
1335
+ with the same result ู†ุชูŠุฌุฉ ุจู†ูุณ ุงู„ู†ุชูŠุฌุฉ ุฒูŠ ู…ุนู†ุงู‡
1336
+
1337
+ 371
1338
+ 00:33:26,930 --> 00:33:31,450
1339
+ ูƒุฏู‡ ููŠ ุญุงู„ุฉ ุงู„ู€ paired difference test ุจู†ุนู…ู„ู‡ ุจุทู„ุน
1340
+
1341
+ 372
1342
+ 00:33:31,450 --> 00:33:37,310
1343
+ ุงู„ู€ differences ูˆ ุจุดุชุฑูŠ ุนู„ูŠู‡ู… chapter 9 ู„ูŠู‡ one
1344
+
1345
+ 373
1346
+ 00:33:37,310 --> 00:33:44,090
1347
+ sample t test ูู‚ุท ูู„ุณ ู„ุบุงูŠุฉ ู‡ู†ุง ุฅู† ุดุงุก ุงู„ู„ู‡ ุทุจุนุง
1348
+
1349
+ 374
1350
+ 00:33:44,090 --> 00:33:48,110
1351
+ ุงู„ู€ slide ุจุนุฏ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง ู„ุบุงูŠุฉ ู‡ู†ุง ุจูƒูˆู† ุฎู„ุตุช ุงู„ู€
1352
+
1353
+ 375
1354
+ 00:33:48,110 --> 00:33:53,410
1355
+ population means ุฅูŠุด ุจุชุจู‚ู‰ ุนู„ูŠู†ุง ุงู„ู€ proportions ู‡ุงุฏ
1356
+
1357
+ 376
1358
+ 00:33:53,410 --> 00:33:57,950
1359
+ ุงู„ู„ูŠ ู„ู‚ุงุก ูŠูˆู… ุงู„ุณุจุช ู„ูƒู† ุงู„ู€ quiz ุฑู‚ู… 3 ู‡ูŠูƒูˆู† ููŠ ุงู„ู€
1360
+
1361
+ 377
1362
+ 00:33:57,950 --> 00:34:02,500
1363
+ means ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ู„ุบุงูŠุฉ ุงู„ูŠูˆู… ูŠุนู†ูŠ ู„ู‚ุงุก ุงู„ูŠูˆู… ุฏุงุฎู„
1364
+
1365
+ 378
1366
+ 00:34:02,500 --> 00:34:05,560
1367
+ ุฎู„ุงุต ููŠ ุฃูŠ ุณุคุงู„
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/eNf02GSwVKg.srt ADDED
@@ -0,0 +1,1409 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ูƒู…ู„ ููŠ
4
+
5
+ 2
6
+ 00:00:24,870 --> 00:00:31,850
7
+ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉ ูˆุงู„ุฃุฎูŠุฑุฉ. ู…ุฑุฉ ุชุญุฏุซู†ุง ุนู† ู…ุฎุชู„ูุฉ ูƒุงูŠ
8
+
9
+ 3
10
+ 00:00:31,850 --> 00:00:36,130
11
+ ุณูƒูˆุงุฑ ุจูŠู† ุงุซู†ูŠู† ู…ุฌุชู…ุนุงุช ูˆู…ู‚ุงูˆู…ุงุช. ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡
12
+
13
+ 4
14
+ 00:00:36,130 --> 00:00:41,330
15
+ ุณู†ุทูˆุฑ ู‡ุฐุง ุงู„ู†ุชุงุฆุฌ ู„ู…ุฌู…ูˆุนุงุช ุฃูƒุซุฑ ู…ู† ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุงุช
16
+
17
+ 5
18
+ 00:00:41,330 --> 00:00:47,170
19
+ ูู‡ุฐู‡ ุงู„ู…ุฌุงู„ ุชุชูƒู„ู… ุนู† ู…ุฎุชู„ูุงุช ูƒุงูŠ ุณูƒูˆุงุฑ ุจูŠู† ุฃูƒุซุฑ
20
+
21
+ 6
22
+ 00:00:47,170 --> 00:00:54,150
23
+ ู…ู† ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุงุช. ูู‡ู†ุง ู†ุฌุนู„ ุงู„ุงุฎุชุตุงุฑ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช
24
+
25
+ 7
26
+ 00:00:54,150 --> 00:00:57,750
27
+ ุฅู„ู‰ ุญุงู„ุฉ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
28
+
29
+ 8
30
+ 00:00:57,750 --> 00:00:58,830
31
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
32
+
33
+ 9
34
+ 00:00:58,830 --> 00:00:59,650
35
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
36
+
37
+ 10
38
+ 00:00:59,650 --> 00:01:00,510
39
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
40
+
41
+ 11
42
+ 00:01:00,510 --> 00:01:01,150
43
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
44
+
45
+ 12
46
+ 00:01:01,150 --> 00:01:14,450
47
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
48
+
49
+ 13
50
+ 00:01:19,600 --> 00:01:24,820
51
+ ูˆู‡ู†ุง ู†ู‚ูˆู… ุจุชุตู†ูŠู ุงู„ุชุฏุฎูŠู† ุฅู„ู‰ ุซู„ุงุซ ู…ุฌู…ูˆุนุงุช ุฃูˆ ุซู„ุงุซ
52
+
53
+ 14
54
+ 00:01:24,820 --> 00:01:37,460
55
+ ูƒุงุชูŠุฌูˆุฑูŠุฒ. ู…ุฏุฎู„ูŠู†
56
+
57
+ 15
58
+ 00:01:37,460 --> 00:01:45,140
59
+ ุจุดูƒู„ ูƒุจูŠุฑ. ู…ุฏุฎู†ูŠู†.
60
+
61
+ 16
62
+ 00:01:45,140 --> 00:01:49,280
63
+ ูˆู…ูุชูˆุณุท ู…ุฏุฎู†ูŠู†
64
+
65
+ 17
66
+ 00:01:50,290 --> 00:01:53,930
67
+ So we classify smoking into three categories
68
+
69
+ 18
70
+ 00:01:53,930 --> 00:02:01,050
71
+ heavy, moderate and light. ุดุฏูŠุฏุŒ ู…ุชูˆุณุทุŒ ูˆู‚ู„ูŠู„. and
72
+
73
+ 19
74
+ 00:02:01,050 --> 00:02:08,590
75
+ education. For example, we have secondary or
76
+
77
+ 20
78
+ 00:02:08,590 --> 00:02:18,810
79
+ less. ู…ุน ุซุงู†ูˆูŠุฉ ุฃูˆ ุฃู‚ู„. Bachelor, Master,
80
+
81
+ 21
82
+ 00:02:21,390 --> 00:02:28,490
83
+ ูˆPhD. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠูˆุฌุฏ... ู„ุฏูŠู†ุง ุงุซู†ูŠู† ู…ุชุบูŠุฑูŠู†
84
+
85
+ 22
86
+ 00:02:28,490 --> 00:02:34,110
87
+ ุงุชุญุงุฏ
88
+
89
+ 23
90
+ 00:02:34,110 --> 00:02:42,410
91
+ ูˆุฅุฏุงุฑุฉ. ูˆู†ุญู† ู…ู‡ุชู…ูˆู† ุจุงู„ุชุญู‚ูŠู‚ ุจูŠู† ุงุชุญุงุฏ ูˆุฅุฏุงุฑุฉ
92
+
93
+ 24
94
+ 00:02:44,490 --> 00:02:50,130
95
+ smoking habit. ุนุฏู„. ุนุฏุฏ ุชุฏุฎูŠู† ุงู„ุตุจุงุฒ is classified
96
+
97
+ 25
98
+ 00:02:50,130 --> 00:02:53,710
99
+ into three groups or three categories. Heavy,
100
+
101
+ 26
102
+ 00:02:53,710 --> 00:02:57,490
103
+ moderate and light, while the other variable of
104
+
105
+ 27
106
+ 00:02:57,490 --> 00:03:00,110
107
+ interest is education, and this one is classified
108
+
109
+ 28
110
+ 00:03:00,110 --> 00:03:04,290
111
+ into four groups: secondary, bachelor, master and PhD.
112
+
113
+ 29
114
+ 00:03:04,290 --> 00:03:09,050
115
+ So in this case we are comparing among more than
116
+
117
+ 30
118
+ 00:03:09,050 --> 00:03:15,000
119
+ two proportions. ู„ูˆ ุฃู†ุง ุนุงูŠุฒ ุฃุดูˆู ุฅุฐุง ู†ุณุจุฉ ุงู„ู…ุฏุฎู†ูŠู†
120
+
121
+ 31
122
+ 00:03:15,000 --> 00:03:20,380
123
+ ุชุฎุชู„ู ุจุญุณุจ ุงู„ู…ุณู…ู‰ ุงู„ุดุฎุตุŒ ู…ุงู‡ูˆ ุจูƒุงู„ูˆุฑูŠูˆุณุŒ ู…ุงุฌุณุชูŠุฑุŒ ูˆูƒุฐุง.
124
+
125
+ 32
126
+ 00:03:20,380 --> 00:03:29,880
127
+ ูู‡ู†ุง ุนู†ุฏูŠ three rowsุŒ for example, and
128
+
129
+ 33
130
+ 00:03:29,880 --> 00:03:36,960
131
+ the other one four columns. This
132
+
133
+ 34
134
+ 00:03:36,960 --> 00:03:40,200
135
+ table is called a three by four table.
136
+
137
+ 35
138
+ 00:03:46,240 --> 00:03:55,120
139
+ ู‡ุฐู‡ ุงู„ุทุงูˆู„ุฉ ู…ุฑุณูˆู…ุฉ ูƒุชุงุจุฉ ู…ุฏุฑุณุฉ.
140
+
141
+ 36
142
+ 00:03:55,120 --> 00:04:05,020
143
+ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ
144
+
145
+ 37
146
+ 00:04:05,020 --> 00:04:10,660
147
+ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ
148
+
149
+ 38
150
+ 00:04:13,970 --> 00:04:16,270
151
+ ู„ุฐู„ูƒ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ูŠุณู…ู‰ ุซู„ุงุซุฉ ู„ุฃู†ู†ุง ู„ุฏูŠู†ุง ุซู„ุงุซ
152
+
153
+ 39
154
+ 00:04:16,270 --> 00:04:22,750
155
+ ุฑูˆุงูŠุงุช ูˆ4 ุฃุนู…ุฏุฉ. ุซู„ุงุซุฉ ุนู„ู‰ ุฃุฑุจุน. ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
156
+
157
+ 40
158
+ 00:04:22,750 --> 00:04:25,750
159
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
160
+
161
+ 41
162
+ 00:04:25,750 --> 00:04:30,270
163
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
164
+
165
+ 42
166
+ 00:04:30,270 --> 00:04:35,250
167
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
168
+
169
+ 43
170
+ 00:04:35,250 --> 00:04:36,890
171
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
172
+
173
+ 44
174
+ 00:04:36,890 --> 00:04:41,410
175
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
176
+
177
+ 45
178
+ 00:04:43,080 --> 00:04:47,940
179
+ ุงู„ุนุงุฏุฉ ุฅู„ู‰ ุจุงูŠ ุณูŠ ุฅุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ุฏุฎูˆู„ ููŠ ุงู„ู†ุงุฑ.
180
+
181
+ 46
182
+ 00:04:47,940 --> 00:04:51,720
183
+ ู„ุฐุง ู„ุฏูŠู†ุง ุจุงูŠ ูˆุงุญุฏุŒ ุฃู‚ู„ ุจุงูŠ ุงุซู†ูŠู†ุŒ ุฃู‚ู„ ุจุงูŠ ุซู„ุงุซ. ุฅุฐุง
184
+
185
+ 47
186
+ 00:04:51,720 --> 00:04:56,360
187
+ ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ุฏุฑุงุณุฉ ุจุงูŠ ูˆุงุญุฏุŒ ุจุงูŠ ุงุซู†ูŠู†ุŒ ุจุงูŠ ุซู„ุงุซุฉุŒ ูˆ
188
+
189
+ 48
190
+ 00:04:56,360 --> 00:05:03,200
191
+ ุจุงูŠ ุฃุฑุจุนุฉ. ูƒู„ ูˆุงุญุฏ ุงู„ุขู† ุนู†ุฏู…ุง ู†ูุชุฑุถ ุงู„ู‡ูŠุจุซูˆุณูŠุฒ
192
+
193
+ 49
194
+ 00:05:03,200 --> 00:05:08,340
195
+ ุงู„ุฎุงุทุฆุฉุŒ ู‡ุฐุง ู„ุง ูŠุนู†ูŠ ุฃู† ุฌู…ูŠุน ุงู„ู€ ุจุงูŠ ุฌูŠ ู…ุฑุชุจุทูŠู†. ูŠุนู†ูŠ
196
+
197
+ 50
198
+ 00:05:08,340 --> 00:05:13,280
199
+ ุฃู† ู‡ู†ุงูƒ ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุงุญุฏ ู…ู† ู‡ุฐู‡ ุงู„ู€ ุจุงูŠ differs from the
200
+
201
+ 51
202
+ 00:05:13,280 --> 00:05:22,700
203
+ others. ุนุดุงู† ูƒุฏู‡ ุจูƒุชุจู‡ุง not all, not all of the by j
204
+
205
+ 52
206
+ 00:05:22,700 --> 00:05:34,200
207
+ are the same. ู…ุด ูƒู„ู‡ู… ุฒูŠ ุจุนุถุŒ or are equal. ู‡ุฐู‡
208
+
209
+ 53
210
+ 00:05:34,200 --> 00:05:37,020
211
+ ุงู„ู€ null ูˆุงู„ุชุฑู†ูŠุฉ ุชุงุนูŠ ุจู‚ู‰ ุฏู„ูˆู‚ุชูŠ ุงู„ู€ chi-square
212
+
213
+ 54
214
+ 00:05:37,020 --> 00:05:38,860
215
+ statistic is the same as
216
+
217
+ 55
218
+ 00:05:44,590 --> 00:05:51,910
219
+ ุฃู†ุง ุนู†ุฏูŠ ููŠู‡ ุฏุฑุฌุงุช ุนู„ู…ูŠุฉ: ุซุงู†ูˆูŠุฉุŒ ุจูƒุงู„ูˆุฑูŠูˆุณุŒ ู…ุงุฌุณุชูŠุฑุŒ ูˆ
220
+
221
+ 56
222
+ 00:05:51,910 --> 00:06:00,210
223
+ PhD. ุงู„ู„ูŠ
224
+
225
+ 57
226
+ 00:06:00,210 --> 00:06:03,230
227
+ ู…ุง ู‚ุนุฏู‡ ุฏูƒุชูˆุฑ ูŠุทู„ุน ุนู„ูŠู‡ PhD. philosophy degree ุฃูˆ
228
+
229
+ 58
230
+ 00:06:03,230 --> 00:06:07,870
231
+ ุฏุฑุฌุฉ ุงู„ูู„ุณูุฉ ุงู„
232
+
233
+ 59
234
+ 00:06:07,870 --> 00:06:12,320
235
+ chi-square ุงู„ู€ statistic ู‡ูŠู†ุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ุฃูˆู„ ู„ูˆ
236
+
237
+ 60
238
+ 00:06:12,320 --> 00:06:16,360
239
+ summation ุงู„ู€ f observed frequency observed minus
240
+
241
+ 61
242
+ 00:06:16,360 --> 00:06:19,680
243
+ expected frequency squared over expected frequency.
244
+
245
+ 62
246
+ 00:06:19,680 --> 00:06:26,240
247
+ Now suppose, for example, there are two rows. Suppose
248
+
249
+ 63
250
+ 00:06:26,240 --> 00:06:31,640
251
+ we have two rows. ุตููŠู† ุจุณ. ูˆc columns.
252
+
253
+ 64
254
+ 00:06:35,760 --> 00:06:39,740
255
+ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ูŠุณู…ู‰ two by C ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ
256
+
257
+ 65
258
+ 00:06:39,740 --> 00:06:45,100
259
+ ุฑู‚ู…ูŠู† ูƒุซูŠุฑ ู…ู† ูƒู„ู…ุฉ C ุจูŠุณู…ูŠู‡ two by C. ุฏุฑุฌุฉ ุงู„ุญุฑูŠุฉ
260
+
261
+ 66
262
+ 00:06:45,100 --> 00:06:48,960
263
+ ู…ุด ู‡ุชุณุงูˆูŠ ุงุญู†ุง
264
+
265
+ 67
266
+ 00:06:48,960 --> 00:06:51,820
267
+ ุฃุฎุฏู†ุง ุฅุฐุง ูƒุงู†ุช two by two ูƒุงู†ุช one. ู…ุด ู‡ูŠูƒ ู‡ู†ุง.
268
+
269
+ 68
270
+ 00:06:51,820 --> 00:06:59,620
271
+ ุจุชุตูŠุฑ two minus one times c minus one. ู„ุงู† two
272
+
273
+ 69
274
+ 00:06:59,620 --> 00:07:04,660
275
+ minus one is one. ูู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุฅูŠู‡ุŸ c minus one
276
+
277
+ 70
278
+ 00:07:05,350 --> 00:07:09,990
279
+ ุงู„ู…ุฑุฉ ุงู„ุณุงุจู‚ุฉ ูƒุงู†ุช ุงู„ู€ column ูƒู… ูˆุงุญุฏุŸ ุงุซู†ูŠู†. ู„ูˆ ุนูˆุถุช
280
+
281
+ 71
282
+ 00:07:09,990 --> 00:07:12,990
283
+ ุงู†ุณูŠุจ ุงุซู†ูŠู†ุŒ ุฅูŠุด ุจูŠุทู„ุนุŸ ูˆุงุญุฏุŒ ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ุงู„ู…ุฑุฉ
284
+
285
+ 72
286
+ 00:07:12,990 --> 00:07:17,030
287
+ ุงู„ุณุงุจู‚ุฉ. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ูƒู„ ุฎู„ูŠุฉ ููŠ
288
+
289
+ 73
290
+ 00:07:17,030 --> 00:07:21,170
291
+ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณ ู„ุฏูŠู‡ ุชูˆู‚ูŠุช ุนุฏุฏ ุชู‚ุฑูŠุจูŠ ู…ู† ุฃู‚ู„ ูˆุงุญุฏ
292
+
293
+ 74
294
+ 00:07:21,170 --> 00:07:28,670
295
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณ.
296
+
297
+ 75
298
+ 00:07:28,670 --> 00:07:29,750
299
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณ. ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณ.
300
+
301
+ 76
302
+ 00:07:29,750 --> 00:07:34,890
303
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณ. ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณ. ู‡ู†ุง
304
+
305
+ 77
306
+ 00:07:34,890 --> 00:07:39,070
307
+ ุจุงู„ู†ุณุจุฉ ู„ู€ two by C ุฃูˆ R by C ูŠูƒูˆู† at least one.
308
+
309
+ 78
310
+ 00:07:39,070 --> 00:07:42,950
311
+ ูŠุนู†ูŠ ู‡ุฏูˆู„ expected frequency should be at least
312
+
313
+ 79
314
+ 00:07:42,950 --> 00:07:49,170
315
+ one. ุนู„ู‰ ุงู„ุฃู‚ู„ ุชูƒูˆู† ู‚ูŠู…ุชู‡ุง ุณูˆุงุก ูˆุงุญุฏ. ุฒูŠ
316
+
317
+ 80
318
+ 00:07:49,170 --> 00:07:52,210
319
+ ู…ุง ุญูƒูŠู†ุง ู…ุฑุฉ ูุงุชุฑุฉ. We can compute the overall
320
+
321
+ 81
322
+ 00:07:52,210 --> 00:07:56,110
323
+ proportion by using this formula. Last time we have
324
+
325
+ 82
326
+ 00:07:56,600 --> 00:08:07,720
327
+ x1 plus x2 all the way
328
+
329
+ 83
330
+ 00:08:07,720 --> 00:08:11,600
331
+ up to xc. ู†ุฌู…ุนู‡ู… ูˆู†ู‚ุณู…ู‡ุง ู„ู€ total sample size N1
332
+
333
+ 84
334
+ 00:08:11,600 --> 00:08:12,900
335
+ plus N2 plus Nc.
336
+
337
+ 85
338
+ 00:08:23,930 --> 00:08:31,690
339
+ ุฅุฐุง ู†ูุณ ุงู„ู‚ุตุฉ ุงู„ุชุงุจุนุฉ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ ุฅุฐุง
340
+
341
+ 86
342
+ 00:08:31,690 --> 00:08:36,270
343
+ ุงู„ู„ูŠ ู‡ุงุฎุฏู‡ ุงู„ุขู† ุจู†ูุณ ุงู„ููƒุฑุฉ ุจุฏู„ ู…ุง ูŠูƒูˆู† ุนู†ุฏูŠ two
344
+
345
+ 87
346
+ 00:08:36,270 --> 00:08:41,310
347
+ rows ูˆ two columns. ู„ูˆ ูƒุงู† ุนู†ุฏูŠ R rows ูŠุนู†ูŠ ุนุฏุฉ
348
+
349
+ 88
350
+ 00:08:41,310 --> 00:08:45,850
351
+ ุตููˆู. R ูŠุนู†ูŠ in generalุŒ ูˆc columns. ูŠุนู†ูŠ ุจุฏู„ two by
352
+
353
+ 89
354
+ 00:08:45,850 --> 00:08:52,440
355
+ c. ุฎู„ูŠู‡ุง R rows by C columns. ูุจู†ุณู…ูŠ ุงู„ู€ chi-square
356
+
357
+ 90
358
+ 00:08:52,440 --> 00:08:56,560
359
+ ุงู„ู„ูŠ ุฌูŠู‡ ุงู„ู€ chi-square test of independence. ุงู„ู€
360
+
361
+ 91
362
+ 00:08:56,560 --> 00:09:00,700
363
+ chi-square ู„ุงุฎุชุจุงุฑ ุงู„ุงุณุชู‚ู„ุงู„. ู‡ุฐุง similar
364
+
365
+ 92
366
+ 00:09:00,700 --> 00:09:04,200
367
+ ู†ูุณ ู…ุง ุงุชุฎุฐู†ุงู‡ ููŠ ุงู„ุฃูˆู„. To the chi-square for
368
+
369
+ 93
370
+ 00:09:04,200 --> 00:09:06,660
371
+ equality of more than two population proportions
372
+
373
+ 94
374
+ 00:09:06,660 --> 00:09:10,000
375
+ but extend the concept of contingency tables with
376
+
377
+ 95
378
+ 00:09:10,000 --> 00:09:17,260
379
+ R rows and C columns. ูŠุนู†ูŠ ุจุทุฑุช ุงู„ู€ R ุจู€ ุงุซู†ูŠู†. ู‡ูˆ ู…ุซู„ู‹ุง
380
+
381
+ 96
382
+ 00:09:17,260 --> 00:09:21,620
383
+ ู…ุซู„ู‹ุง ุนู†ุฏูƒ ุฃุนู…ุฏุฉ ุซู„ุงุซุฉุŒ ุงูุชุฑุถ. ูุจู†ุณู…ูŠู‡ test of
384
+
385
+ 97
386
+ 00:09:21,620 --> 00:09:25,840
387
+ independence. ูŠุนู†ูŠ ุจุฏู„ ุงู„ุงุซู†ูŠู† ุตุงุฑ ุนู†ุฏูƒ ุฃุนู…ุฏุฉ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุฃูˆ ู‡ูƒุฐุง. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุณุชุทูŠุน ุฃู† ู†ูƒุชุจ
388
+
389
+ 98
390
+ 00:09:25,840 --> 00:09:29,700
391
+ ุงู„ู€ hypothesis ุงู„ุขู†ูŠุฉ ุจุฏู„ู‹ุง ู…ู† by one equals by two
392
+
393
+ 99
394
+ 00:09:29,700 --> 00:09:33,920
395
+ all the way up to by C. ู„ุฃู† ู„ุฏูŠู†ุง ุฃุนู…ุฏุฉ ุซู„ุงุซุฉ. ุชุบูŠูŠุฑ
396
+
397
+ 100
398
+ 00:09:33,920 --> 00:09:41,880
399
+ ู‡ุฐุง ุงู„ู€ null ุจุงุณุชุฎุฏุงู… ุงู„ุงู†ุชุฌุงุฑุงุช. ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
400
+
401
+ 101
402
+ 00:09:41,880 --> 00:09:45,960
403
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
404
+
405
+ 102
406
+ 00:09:45,960 --> 00:09:49,300
407
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
408
+
409
+ 103
410
+ 00:09:49,300 --> 00:09:53,760
411
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
412
+
413
+ 104
414
+ 00:09:53,760 --> 00:09:54,920
415
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
416
+
417
+ 105
418
+ 00:09:54,920 --> 00:09:56,560
419
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
420
+
421
+ 106
422
+ 00:09:56,560 --> 00:10:00,640
423
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
424
+
425
+ 107
426
+ 00:10:00,640 --> 00:10:10,700
427
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
428
+
429
+ 108
430
+ 00:10:10,910 --> 00:10:15,930
431
+ Independent. This means, I mean independent means
432
+
433
+ 109
434
+ 00:10:15,930 --> 00:10:19,090
435
+ there is no relationship between them. ู…ุงููŠุด ุนู„ุงู‚ุฉ
436
+
437
+ 110
438
+ 00:10:19,090 --> 00:10:22,090
439
+ ุจูŠู† ุงู„ุงุซู†ูŠู†. ู‡ุงูŠ ู…ุนู†ู‰ independent. ูˆุงู„ู€ alternative ู…ุด
440
+
441
+ 111
442
+ 00:10:22,090 --> 00:10:25,610
443
+ ู‡ูŠูƒูˆู† ุนูƒุณ
444
+
445
+ 112
446
+ 00:10:25,610 --> 00:10:28,110
447
+ ุนู„ู‰ ุทูˆู„. The two variables or the two categorical
448
+
449
+ 113
450
+ 00:10:28,110 --> 00:10:31,550
451
+ variables are dependent or related. ูŠุนู†ูŠ ููŠู‡ ุงุฑุชุจุงุท
452
+
453
+ 114
454
+ 00:10:31,550 --> 00:10:36,970
455
+ ุจูŠู†ู‡ู…. ุฅุฐุง the two variables are dependent or
456
+
457
+ 115
458
+ 00:10:36,970 --> 00:10:43,690
459
+ ุจู†ุณู…ูŠู‡ู… related. Relate. ูŠุนู†ูŠ ู…ุด ููŠ ุงุฑุชุจุงุท ู…ุนู†ุงู‡
460
+
461
+ 116
462
+ 00:10:43,690 --> 00:10:46,870
463
+ there is a relationship between them. ุฅุฐุง ุฃู†ุง ุฑุญ
464
+
465
+ 117
466
+ 00:10:46,870 --> 00:10:51,890
467
+ ุฃุนู…ู„ ุจุฏู„ two by two ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุช. ู…ุด
468
+
469
+ 118
470
+ 00:10:51,890 --> 00:10:55,890
471
+ ุฃุฎุฏู†ุง two by two. ุงู„ุขู† ูƒุจุฑู†ุงู‡ุง ุดูˆูŠุฉ. two by three.
472
+
473
+ 119
474
+ 00:10:55,890 --> 00:11:01,530
475
+ two by three ุฒูŠ ุงู„ุดุบู„ ุงู„ู…ุนุฑูุงุช ุจุงู„ุธุจุท ุจุณ two by
476
+
477
+ 120
478
+ 00:11:01,530 --> 00:11:04,230
479
+ three ู‡ูŠูƒูˆู† ุนู†ุฏ heavy smokers ูˆ light smokers.
480
+
481
+ 121
482
+ 00:11:04,230 --> 00:11:07,850
483
+ ุจูŠูƒูˆู† ุนู†ุฏ moderate. ู‡ุฏูˆู„ ุฒูŠ ุงู„ุดุบู„ ุจุชุงุน ุงู„ู…ุนุฑูุงุช
484
+
485
+ 122
486
+ 00:11:07,850 --> 00:11:14,020
487
+ ุจุงู„ุธุจุท. ุงู„ู„ูŠ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏ ู…ูˆุถูˆุน ุงู„ูŠูˆู… R by C. ูŠุนู†ูŠ R
488
+
489
+ 123
490
+ 00:11:14,020 --> 00:11:17,980
491
+ rowsุŒ C columns. ุจู†ุณู…ูŠ ุงู„ู€ test ูƒุงูŠ ุณูƒูˆูŠุฑ test of
492
+
493
+ 124
494
+ 00:11:17,980 --> 00:11:21,420
495
+ independence. Still will have the same ูƒุงูŠ ุณูƒูˆูŠุฑ
496
+
497
+ 125
498
+ 00:11:21,420 --> 00:11:26,260
499
+ statistic, but will have different formula to
500
+
501
+ 126
502
+ 00:11:26,260 --> 00:11:29,860
503
+ compute the expected frequency. So again we have
504
+
505
+ 127
506
+ 00:11:29,860 --> 00:11:33,200
507
+ this ูƒุงูŠ ุณูƒูˆูŠุฑ statistic: sum f observed minus f
508
+
509
+ 128
510
+ 00:11:33,200 --> 00:11:37,540
511
+ expected squared ุนู„ู‰ ุงู„ู€ f expected. ุทุจ ุงู„ู€ degrees
512
+
513
+ 129
514
+ 00:11:37,540 --> 00:11:38,480
515
+ of freedom ู…ุด ู‡ุชุณุงูˆูŠ
516
+
517
+ 130
518
+ 00:11:41,260 --> 00:11:43,740
519
+ ุจู‚ู‰ ุจุงู„ุธุจุท ุฅุฐุง ูƒุงู†ุช ุงู„ู€ two minus one ูƒุงู†ุช two
520
+
521
+ 131
522
+ 00:11:43,740 --> 00:11:47,500
523
+ rows ู„ุฃู†ุตุงุฑ rows R's ุจุงู„ุชุงู„ูŠ ุงู„ู€ degrees of freedom
524
+
525
+ 132
526
+ 00:11:47,500 --> 00:11:53,560
527
+ in this case ู„ู„ุชุงุจู„ ุงู„ู„ูŠ ู‡ู†ุง equals R minus one.
528
+
529
+ 133
530
+ 00:11:53,560 --> 00:11:58,440
531
+ This is in general. So for the general contingency
532
+
533
+ 134
534
+ 00:11:58,440 --> 00:12:03,520
535
+ table which has R rows and C columns, there are R
536
+
537
+ 135
538
+ 00:12:03,520 --> 00:12:07,340
539
+ minus one times C minus one degrees of freedom. ุนู„ู‰
540
+
541
+ 136
542
+ 00:12:07,340 --> 00:12:12,060
543
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุนู†ุฏู…ุง R ูŠู‚ู„ 2 ูˆC ูŠู‚ู„ 2. ุฅุฐุง ู‚ู…ุช ุจุงู„ุถุบุท
544
+
545
+ 137
546
+ 00:12:12,060 --> 00:12:20,820
547
+ ุนู„ู‰ R 2 ูˆC 2ุŒ 2-1ร—2-1ุŒ ูˆ2-1ร—2-1ุŒ ูˆ1. ูƒู…ุง ูƒุงู†ุช ุงู„ู…ุฑุฉ
548
+
549
+ 138
550
+ 00:12:20,820 --> 00:12:26,800
551
+ ุงู„ุณุงุจู‚ุฉ. ู…ุธุจูˆุทุŸ ุฅู„ู‰ ู†ูุณ ุงู„ู€ assumption. ูƒู„ ุฎู„ูŠุฉ
552
+
553
+ 139
554
+ 00:12:26,800 --> 00:12:35,870
555
+ ูƒุงู†ุช ุชุชูˆู‚ุน ุนู† ุฎู„ูŠุฉ ุฃู‚ู„ ู…ู† 1. ุฅุฐู† ุจุงู„ู†ุณุจุฉ ู„ู€ 2ร—C ูˆุงู„ู€
556
+
557
+ 140
558
+ 00:12:35,870 --> 00:12:40,730
559
+ R by C ู„ุงุฒู… ุงู„ู€ expected frequency ู…ุง ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„
560
+
561
+ 141
562
+ 00:12:40,730 --> 00:12:46,870
563
+ ูŠูƒูˆู† ูˆุงุญุฏ. ู„ูƒู† ุงู„ู€ two by two ุงู„ู€ expected ูŠูƒูˆู†...
564
+
565
+ 142
566
+ 00:12:46,870 --> 00:12:50,290
567
+ ุฎู„ุงุต ุจู‚ู‰ ุงู„ู€ expected ู…ุด ุงู„ู€ observed ู…ุด ุงู„ู…ุดุงู‡ุฏ ู…ุด
568
+
569
+ 143
570
+ 00:12:50,290 --> 00:12:52,610
571
+ ููŠ ุงู„ู€ table ุงู„ู„ูŠ ุฃู†ุง ุจุญุณุจู‡. Should be at least five.
572
+
573
+ 144
574
+ 00:12:52,610 --> 00:12:56,750
575
+ ุฃูˆ at least one.
576
+
577
+ 145
578
+ 00:12:56,750 --> 00:13:00,710
579
+ ูƒูŠู ุจุฏูŠ ุฃุญุณุจ ุงู„ู€ expected frequencyุŸ ู‡ูŠ ุงู„ุทุฑูŠู‚ุฉ
580
+
581
+ 146
582
+ 00:13:00,710 --> 00:13:06,150
583
+ ุนู†ุฏูŠ f expected ุจุชุณุงูˆูŠ row total column total ุนู„ู‰
584
+
585
+ 147
586
+ 00:13:06,150 --> 00:13:10,970
587
+ sample size. ูŠุนู†ูŠ ู„ุง ุฃูŠ cell ู…ุด ููŠู‡ row total ูˆู„ุง
588
+
589
+ 148
590
+ 00:13:10,970 --> 00:13:13,650
591
+ ุฃูŠ cell ููŠู‡ column total ุจุชุทู„ุน ุงู„ู€ expected
592
+
593
+ 149
594
+ 00:13:13,650 --> 00:13:17,250
595
+ frequency ุงู„ู„ูŠ ุจุถุฑุจู‡ู… ููŠ ุจุนุถ ูˆุจู‚ุณู… ุนู„ู‰ ุงู„ู€ N. ูŠุนู†ูŠ
596
+
597
+ 150
598
+ 00:13:17,250 --> 00:13:29,470
599
+ ู„ูˆ ุฑุฌุนุช ู„ู„ู‚ุงุก ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช for this table. ู„ูˆ
600
+
601
+ 151
602
+ 00:13:29,470 --> 00:13:36,120
603
+ ุนุงูŠุฒ ุฃุทู„ุน ุงู„ู€ expected frequency ู„ุฃูˆู„ cell ู„ู€ first
604
+
605
+ 152
606
+ 00:13:36,120 --> 00:13:41,280
607
+ cell ุนู†ุฏ ุงู„ู€ observed 12. ู…ุด ู‡ูŠูƒุŸ ุฅุฐุง ุงู„ู€ observed
608
+
609
+ 153
610
+ 00:13:41,280 --> 00:13:47,200
611
+ equal 12. ุงู„ู€ expected ุฏูŠ ู„ูŠุด ู…ุชุณุงูˆูŠุŸ ุญุณุจ ุงู„ู‚ุงู†ูˆู† ุงู„ู€
612
+
613
+ 154
614
+ 00:13:47,200 --> 00:13:50,600
615
+ row total ุงู„ู„ูŠ ููŠู‡ ุงู„ู€ 12 ููŠ ุงู„ู€ column total ุนู„ู‰ ุงู„ู€
616
+
617
+ 155
618
+ 00:13:50,600 --> 00:13:54,200
619
+ total sample size. ู‡ุงูŠ ุงู„ู€ 12 ุฅูŠุด ุงู„ู€ raw ุทุจุนู‡ุง
620
+
621
+ 156
622
+ 00:13:54,200 --> 00:14:00,140
623
+ totalุŸ ูˆุงู„ู€ columnุŸ ุนู„ู‰ ุงู„ู€ 300. ุฅุฐุง ุตุงุฑ 120
624
+
625
+ 157
626
+ 00:14:05,320 --> 00:14:14,060
627
+ ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ 14.4. ู†ูุณ ุงู„ุฅุฌุงุจุฉ ุจุชุงุนุชู‡ุง ุทูŠุจ
628
+
629
+ 158
630
+ 00:14:14,060 --> 00:14:19,680
631
+ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุฅูŠุด ู‡ูŠุนู…ู„ู‡ุงุŸ ุทู„ุนุช ู‡ุฐู‡. ุงู„ู„ูŠ ุจุนุฏู‡ุง ูƒูŠู ุจุชุทู„ุน ุงู„ู€
632
+
633
+ 159
634
+ 00:14:19,680 --> 00:14:25,380
635
+ 105 ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ูุงุชุฑุฉ ู†ุงู‚ุต ุงู„ู€ 14 ุจุชุทู„ุน ุงู„ู€ 105.
636
+
637
+ 160
638
+ 00:14:25,380 --> 00:14:32,440
639
+ ุฃูˆ 120ุŒ 264ุŒ 300. ู‡ูŠุทู„ุน ู†ูุณ ุงู„ุฌูˆุงุจ ุจุณ ุงู„ู„ูŠ ุฑูŠุญ ู…ูŠู†
640
+
641
+ 161
642
+ 00:14:33,800 --> 00:14:36,900
643
+ ุชู„ุงุญุธูˆุง ู…ู† ุจุนุถ ุทุจุนู‹ุง ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุตุญ ุฅุฐุง ู‡ุฐู‡ ุบู„ุท
644
+
645
+ 162
646
+ 00:14:36,900 --> 00:14:42,700
647
+ ูู‡ุฐู‡ ุบู„ุท ุงู„ู„ูŠ ู‚ู„ุช. ูุฃู†ุช ู…ุฎูŠุฑุฉ. ุทูŠุจ ุงู„ู„ูŠ ุฃู†ุง ุงุณุชุฎุฏู…ุช
648
+
649
+ 163
650
+ 00:14:42,700 --> 00:14:47,760
651
+ ุงู„ู‚ุงู†ูˆู† ู…ุฑุฉ ูˆุงุญุฏุฉ ู…ุด ู‡ูŠูƒุŸ ุทูŠุจ ุงู„ู„ูŠ ุจุนุฏู‡ุง ูƒูŠู ุฃุทู„ุน
652
+
653
+ 164
654
+ 00:14:47,760 --> 00:14:52,440
655
+ ุญุฏ ุฅูŠู‡ุŸ ุฅู…ุง ุจุงู„ู‚ุงู†ูˆู† 180ุŒ 36ุŒ 30ุŒ
656
+
657
+ 165
658
+ 00:14:52,440 --> 00:14:59,920
659
+ 300 ุฃูˆ ุฃูˆ ุฅูŠุด ุทุฑูŠู‚ุชูŠู†. ุฅู…ุง one eighty minus
660
+
661
+ 166
662
+ 00:14:59,920 --> 00:15:04,100
663
+ one fifty eight point four ุจูŠุทู„ุน ุญุฏู‰ุŒ ุจุณ ู‡ุฐู‡ ู…ุด
664
+
665
+ 167
666
+ 00:15:04,100 --> 00:15:11,440
667
+ ู…ุนู„ูˆู…ุฉ. ุจูŠุทู„ุน ู…ู† ู‡ู†ุง ุงู„ูŠูˆู… ุจูŠุทู„ุน ุญุฏู‰. ูƒูŠู ุจุชุทู„ุนุŸ 6
668
+
669
+ 168
670
+ 00:15:11,440 --> 00:15:14,600
671
+ ูˆ30 ู†ู‚ุต 4 ูˆ10 ู…ุด ู‡ูŠูƒุŸ ุจูŠุทู„ุน 120. ู…ุน ูƒุฏู‡ ุฏู‡ ู„ู…ุง ุทู„ุนุช... ุทู„ุนุช ู…ู† ุงู„ุฃูˆู„ุงู†ูŠุฉ ุทุจ
672
+
673
+ 169
674
+ 00:15:14,600 --> 00:15:19,840
675
+ ูˆุงู„ู„ูŠ ู‡ู†ุง ุจู„ุฒู… ุฃุทู„ุนู‡ุง ุจุงู„ู‚ุงู†ูˆู†. ู‡ูŠ 180 ูˆ
676
+
677
+ 170
678
+ 00:15:19,840 --> 00:15:25,540
679
+ 264 ุน 300 ุฃูˆ 180 ู†ู‚ุต ู‡ุฐู‡ุง.
680
+
681
+ 171
682
+ 00:15:25,540 --> 00:15:29,300
683
+ ูˆ244-105. ู…ุนู†ุงู‡ ูƒุฏู‡ ูƒู… ู…ุฑุฉ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู†
684
+
685
+ 172
686
+ 00:15:29,300 --> 00:15:36,080
687
+ ุฃูˆ
688
+
689
+ 173
690
+ 00:15:36,080 --> 00:15:41,940
691
+ ุฃู†ุง ุจุณ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู† ูˆูŠู†ุŸ ู‡ู… ุทู„ุนุช ู‡ุฐู‡ุŒ ุทู„ุนุช ู‡ุฐู‡.
692
+
693
+ 174
694
+ 00:15:41,940 --> 00:15:47,260
695
+ ู…ุธุจูˆุทุŸ ูˆุจุนุฏูŠู† ูƒูŠู ุทู„ุนุช ู‡ุฐู‡ ุจุงู„ู…ูƒู…ู‘ู„ุฉ. ุฅุฐุง ู‡ุฐู‡ ู„ุฃ. ุทุจ
696
+
697
+ 175
698
+ 00:15:47,260 --> 00:15:53,300
699
+ ูˆู‡ุฐู‡ 120 ู†ุงู‚ุต ูˆุงู„ู„ูŠ ุชุญุชู‡ุง. ู…ุนู†ุงู‡ ูƒุฏู‡ ู…ุฑุฉ ูˆุงุญุฏุฉ. ุฒูŠ
700
+
701
+ 176
702
+ 00:15:53,300 --> 00:15:59,160
703
+ ู…ุง ุฃู†ุง ูƒุฏู‡ ุงู„ู€ expected frequency ุจูŠุณุงูˆูŠ ุนุฏุฏ ู…ุฑุงุช
704
+
705
+ 177
706
+ 00:15:59,160 --> 00:16:02,900
707
+ ุงุณุชุฎุฏุงู…ู‡. ุจุชุณุงูˆูŠ degrees of freedom ููŠ ุงู„ู€ table ู‡ุฐุง.
708
+
709
+ 178
710
+ 00:16:02,900 --> 00:16:06,880
711
+ ูƒุงู†ุช ูˆุงุญุฏ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุฃู†ุง ู„ูˆ ุญูƒูŠุช ู„ูƒ ููŠ ุงู„ุงู…ุชุญุงู† ู‡ูŠูƒ
712
+
713
+ 179
714
+ 00:16:06,880 --> 00:16:13,520
715
+ ูˆุฃุนุทูŠุชูƒ ูƒู„ ุงู„ู…ุนู„ูˆู…ุงุช ู‡ุฐู‡ ูˆูƒุงู† ู‡ุฐุง ูƒู„ู‡ ู…ุฌู‡ูˆู„ ุงู„ู‚ูŠู….
716
+
717
+ 18
718
+
719
+ 216
720
+ 00:19:04,340 --> 00:19:09,240
721
+ .. ููŠ ุงู„ุณุจูˆุน ู…ุซู„ุง ุงู„ู€ 10 ุงู„ู„ูŠ ู‡ู†ุง ุนุณู‰ ุจุงู„ู…ุซุงู„ ู…ุนู†ุงู‡
722
+
723
+ 217
724
+ 00:19:09,240 --> 00:19:14,640
725
+ ููŠ ุนู†ุฏูŠ 10 senior students has no meal ู…ุง ุจูŠุงุฎุฏุด
726
+
727
+ 218
728
+ 00:19:14,640 --> 00:19:20,880
729
+ ูˆู„ุง ุญุงุฌุฉ ุทุจุนุง ุงู„ู€ totals ุฏูˆู„ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€
730
+
731
+ 219
732
+ 00:19:20,880 --> 00:19:24,100
733
+ hypothesis to be tested is meal plan and class
734
+
735
+ 220
736
+ 00:19:24,100 --> 00:19:27,420
737
+ standing are independent ู…ุง ููŠุด ุนู„ุงู‚ุฉ ู…ุง ุจูŠู†
738
+
739
+ 221
740
+ 00:19:27,420 --> 00:19:31,400
741
+ ูˆุงุฌุจุงุช ูˆู…ุณุชูˆู‰ ุงู„ุทุงู„ุจ ู…ุน ูƒุฏู‡ there is no
742
+
743
+ 222
744
+ 00:19:31,400 --> 00:19:33,860
745
+ relationship between them ุทุจ ู‡ุฐุง ุฅูŠุด ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ
746
+
747
+ 223
748
+ 00:19:33,860 --> 00:19:39,560
749
+ ุฅูŠุด ู…ุนู†ู‰ ู…ุง ููŠุด ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู…ุŸ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุต
750
+
751
+ 224
752
+ 00:19:39,560 --> 00:19:42,460
753
+ ูƒุงู† ููŠ ุงู„ุณู†ุฉ ุงู„ุฃูˆู„ู‰ ูˆู„ุง ุชุงู†ูŠุฉ ูˆู„ุง ุชุงู„ุชุฉ ูˆู„ุง ุฑุงุจุนุฉ
754
+
755
+ 225
756
+ 00:19:42,460 --> 00:19:47,810
757
+ ู…ุด ู‡ุชุฃุซุฑ ูˆุงุฌุจุงุชู‡ ุชุจู‚ู‰ ู…ุง ู‡ูˆ ุจูŠู‚ุตุฏ ุจุงู„ุณุคุงู„ ู†ุงุญูŠุฉ
758
+
759
+ 226
760
+ 00:19:47,810 --> 00:19:52,310
761
+ ู†ูุณูŠุฉ ุฃูƒุชุฑ ู…ู†ู‡ุง ุฃูˆ ู†ุงุญูŠุฉ ุณู„ูˆูƒูŠุฉ ูŠุนู†ูŠ ู‡ู„ ุงู„ุทุงู„ุจ ุงู„ู€
762
+
763
+ 227
764
+ 00:19:52,310 --> 00:19:56,350
765
+ freshman ุจูŠู…ูŠู„ ุฃู†ู‡ ูŠุงุฎุฏ ูˆุฌุจุงุชู‡ ููŠ ุงู„ู€ cafeteria
766
+
767
+ 228
768
+ 00:19:56,350 --> 00:20:00,630
769
+ ุงู„ุฌุงู…ุนุฉ ุฃูƒุชุฑ ู…ู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุจูŠูƒูˆู† ููŠ ู…ุณุชูˆู‰ ุฑุงุจุน
770
+
771
+ 229
772
+ 00:20:00,630 --> 00:20:04,110
773
+ ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ููŠ ู…ุณุชูˆู‰ ุฑุงุจุน ุงู„ุทุงู„ุจ ุจูŠูƒูˆู† ูŠุนู†ูŠ ุนู†ุฏู‡
774
+
775
+ 230
776
+ 00:20:04,110 --> 00:20:08,650
777
+ ุฎุจุฑุฉ ูƒุงููŠุฉ ุนุงุฑู ุงู„ู…ู†ุทู‚ุฉ ูƒูˆูŠุณ ุจูŠุฃูƒู„ ูˆูŠู†ุฒู„ ูู…ู…ูƒู† ุนุฏุฏ
778
+
779
+ 231
780
+ 00:20:08,650 --> 00:20:13,590
781
+ ูˆุฌุจุงุชู‡ ุชู‚ู„ู‡ ู‡ูˆ ุจูŠุณุฃู„ ุงู„ุณุคุงู„ ู‡ุฐุง ู‡ู„ ุงู„ุทุงู„ุจ ุงู„ู€ .. ุงู„ู€
782
+
783
+ 232
784
+ 00:20:13,590 --> 00:20:17,270
785
+ .. ุงู„ู€ freshman ุจูŠุฎุชู„ู ูˆู„ุง ุงู„ุงุซู†ูŠู† ููŠ ุงู„ุณู„ูˆูƒูŠุงุช ุฃูŠ
786
+
787
+ 233
788
+ 00:20:17,270 --> 00:20:21,690
789
+ ูƒุงู† ุงู„ุทุงู„ุจ freshman ูˆู„ุง senior ู…ู…ูƒู† ูŠุทู„ุน ุจุฑุฉ ุฒูŠ ูˆ
790
+
791
+ 234
792
+ 00:20:21,690 --> 00:20:25,570
793
+ ุฒูŠ ุงู„ู€ senior ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ุงู„ุฌุฏูŠุฏ ู…ู…ูƒู† ูŠุทู„ุน
794
+
795
+ 235
796
+ 00:20:25,570 --> 00:20:28,950
797
+ ุจุฑุฉ ุฒูŠ ูˆ ุฒูŠ ุงู„ู€ senior ุทุจุนุง ุงู„ู€ result ุจุชูƒูˆู† ู…ู‡ู…ุฉ
798
+
799
+ 236
800
+ 00:20:28,950 --> 00:20:33,330
801
+ ุฌุฏุง ุจุงู„ุฐุงุช ู„ุนู„ูˆู… ุงู„ู†ูุณ ูŠุนู†ูŠ ู‡ู„ ุงู„ุทุงู„ุจ
802
+
803
+ 237
804
+ 00:20:33,330 --> 00:20:38,090
805
+ ู…ุชุฃุซุฑ ู„ุณู‡ ุฌุฏูŠุฏ ูˆู„ุง ู…ุด ูุงุฑู‚ ู…ุนุงู‡ ุฒูŠ ูˆ ุฒูŠ ุงู„ู‚ุฏูŠู…ุŸ
806
+
807
+ 238
808
+ 00:20:38,090 --> 00:20:43,190
809
+ ู‡ู†ุดูˆู ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ูŠุทู„ุน ูˆุจู†ุงุก ุนู„ูŠู‡ ุจู†ู‚ุฑุฑ ุงู„ุชุฑู†ูŠุฉ
810
+
811
+ 239
812
+ 00:20:43,190 --> 00:20:46,490
813
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ meal plan ูˆ class standings ู…ุณุชู‚ู„ูŠู† ู…ุน
814
+
815
+ 240
816
+ 00:20:46,490 --> 00:20:52,570
817
+ ูƒุฏู‡ ู‡ู†ุงูƒ ุนู„ุงู‚ุงุช ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ุณุจุฌ ู…ุซู„ุง ุณุจุฌ ูŠู†ุฌุญ
818
+
819
+ 241
820
+ 00:20:52,570 --> 00:20:59,730
821
+ ู…ู† ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ ู„ูˆ ุญูƒูŠู†ุง reject ุงุชุฒูŠุฑูˆ ุฅูŠุด ู…ุนู†ุงู‡ุŸ
822
+
823
+ 242
824
+ 00:20:59,730 --> 00:21:02,450
825
+ ู…ุนู†ุงู‡ ููŠ ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ูˆุงุฌุจุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ุงู„ุทุงู„ุจ
826
+
827
+ 243
828
+ 00:21:02,450 --> 00:21:08,030
829
+ ูˆุงู„ู…ุณุชูˆู‰ ุชุจุนู‡ ุทุจ ู‡ุฐุง ู…ุนู†ุงู‡ ุฅูŠุดุŸ ุฅู†ู‡ ููŠ ุงุฎุชู„ุงู ููŠ
830
+
831
+ 244
832
+ 00:21:08,030 --> 00:21:12,150
833
+ ู†ุณุจ ุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ุจูŠุงุฎุฏูˆุง ุงู„ูˆุฌุจุงุช ุญุณุจ ู…ูŠู†ุŸ ุงู„ู…ุณุชูˆู‰
834
+
835
+ 245
836
+ 00:21:12,150 --> 00:21:18,270
837
+ ุชุจุนู‡ู… ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ุณุชูˆู‰ ุงู„ุทุงู„ุจ ููŠ ุงู„ุฌุงู…ุนุฉ ุจูŠุฃุซุฑ
838
+
839
+ 246
840
+ 00:21:18,270 --> 00:21:21,690
841
+ ุนู„ู‰ ุนุฏุฏ ุงู„ูˆุฌุจุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ูู…ู…ูƒู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ููŠ
842
+
843
+ 247
844
+ 00:21:21,690 --> 00:21:25,110
845
+ ุงู„ู€ senior ูŠุงุฎุฏ ุนุฏุฏ ุงู„ูˆุฌุจุงุช ู…ุฎุชู„ู ุนู† ุงู„ู€ freshman
846
+
847
+ 248
848
+ 00:21:25,110 --> 00:21:29,050
849
+ ุชุจู‚ู‰ ูƒุฏู‡ ู„ูˆ ุชู… reject ุงู„ู€ null hypothesis ู…ุน ูƒุฏู‡
850
+
851
+ 249
852
+ 00:21:29,050 --> 00:21:32,350
853
+ ุงู„ุทู„ุงุจ ู‡ุฏูˆู„ ุงู„ุฌุฏุฏ ุนู†ุฏู‡ู…
854
+
855
+ 250
856
+ 00:21:34,160 --> 00:21:40,640
857
+ ูŠุนู†ูŠ more freedom ุฃูƒุชุฑ ูˆู„ุง ู„ุณู‡ ู…ุง ุฒุงู„ูˆุง ู…ุชู‚ูˆู‚ุนูŠู†ุŸ
858
+
859
+ 251
860
+ 00:21:40,640 --> 00:21:44,440
861
+ ู„ูˆ ุชู… ..ุงู†ุชูˆุง ู…ุด ููŠู„ู… ู…ุด ุจุญูƒูŠ ุฎุงู„ุต ูˆู„ุง ููŠู„ู… ..ู…ุด
862
+
863
+ 252
864
+ 00:21:44,440 --> 00:21:46,860
865
+ ุจู‚ู‰ ..ุงู†ุชูˆุง ู…ุด ..ุงู†ุชูˆุง ู…ุด ..ุงู†ุชูˆุง ู…ุตูŠุฑูˆู†ูŠ ุฃุญู„ ุงู„ุญุตุฉ
866
+
867
+ 253
868
+ 00:21:46,860 --> 00:21:50,120
869
+ ูˆุจุณ ุฃู†ุง ุจุญูƒูŠ ู„ูˆ ุชู… rejected null hypothesis ู…ุน
870
+
871
+ 254
872
+ 00:21:50,120 --> 00:21:53,520
873
+ ูƒุฏู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ุนุฏุฏ ุงู„ุฅุฌุงุจุงุช ูŠุนุชู…ุฏ ุนู„ู‰
874
+
875
+ 255
876
+ 00:21:53,520 --> 00:21:58,720
877
+ ุงู„ุดุฎุต ุงู„ุฌุฏูŠุฏ ูˆู„ุง ุงู„ู„ูŠ ุนุฏุฏ ุจูŠูƒูˆู†
878
+
879
+ 256
880
+ 00:21:58,720 --> 00:22:03,040
881
+ ุจูŠุฎุชู„ู ู…ุนู†ุงู‡ ูƒุฏู‡ ุงุฎุชู„ู ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ุทุงู„ุจ ุงู„ุฌุฏูŠุฏ ู„ุณู‡
882
+
883
+ 257
884
+ 00:22:03,040 --> 00:22:06,460
885
+ ู…ุด ู…ุชุนูˆุฏ ุนู„ู‰ ูˆุถุน ุงู„ุจู„ุฏ ูุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ูŠุงุฎุฏูˆุง ูˆุฌุจุงุช
886
+
887
+ 258
888
+ 00:22:06,460 --> 00:22:11,780
889
+ ุฃูƒุซุฑ ุฃูˆ ุฃู‚ู„ ุนู„ู‰ ุญุณุจ ู„ูˆ ุชู… we don't reject ู…ุน ูƒุฏู‡
890
+
891
+ 259
892
+ 00:22:11,780 --> 00:22:14,540
893
+ the two variables are independent ู…ุง ููŠุด ุนู„ุงู‚ุฉ
894
+
895
+ 260
896
+ 00:22:14,540 --> 00:22:17,620
897
+ ุจูŠู†ู‡ู… ุจุตุฑู ุงู„ู†ุธุฑ ุทุงู„ุจ ุฌุฏูŠุฏ ูˆู„ุง ู…ุด ุฌุฏูŠุฏ ู‡ูˆ ุจูŠุทู„ุน
898
+
899
+ 261
900
+ 00:22:17,620 --> 00:22:24,610
901
+ ุฒูŠ ุฒูŠ ุบูŠุฑู‡ ูˆุงุถุญุŸ ูู‡ู…ุชู‡ ูŠุง ุฌู…ุงุนุฉุŸ ุฎู„ูŠูƒ ุฃู‡ู„ ุงู„ุญุตุฉ ู‡ุฐู‡
902
+
903
+ 262
904
+ 00:22:24,610 --> 00:22:27,810
905
+ ุงู„ู…ู‚ุงู„ุฉ ู†ุณู…ูŠู‡ุง observed ู‡ุคู„ุงุก ุงู„ู„ูŠ ุฃู†ุง ุทู„ุนุชู‡ู… ู…ู†
906
+
907
+ 263
908
+ 00:22:27,810 --> 00:22:31,270
909
+ ุงู„ู€ data ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุด ู‡ูŠูƒ ู‡ุคู„ุงุก observed ุจูŠุทู„ุน ุงู„ู€
910
+
911
+ 264
912
+ 00:22:31,270 --> 00:22:36,290
913
+ expected cell frequency if H0 is true ุฅุฐุง ูƒุงู†ูˆุง
914
+
915
+ 265
916
+ 00:22:36,290 --> 00:22:37,230
917
+ ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง
918
+
919
+ 266
920
+ 00:22:37,230 --> 00:22:38,650
921
+ ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู†
922
+
923
+ 267
924
+ 00:22:38,650 --> 00:22:39,510
925
+ ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง
926
+
927
+ 268
928
+ 00:22:39,510 --> 00:22:40,190
929
+ ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู†
930
+
931
+ 269
932
+ 00:22:40,190 --> 00:22:40,650
933
+ ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง
934
+
935
+ 270
936
+ 00:22:40,650 --> 00:22:50,170
937
+ ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุฅุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู†
938
+
939
+ 271
940
+ 00:22:53,930 --> 00:22:59,390
941
+ ูู„ูˆ ุจุทู„ุน ู…ุซู„ุง ู„ู„ู€ .. ู„ู„ู€ junior ู‡ุฐู‡ ุงู„ุนุดุฑุฉ ู‡ุฐู‡
942
+
943
+ 272
944
+ 00:22:59,390 --> 00:23:03,430
945
+ ุงู„ุนุดุฑุฉ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุงู„ู€ expected ู…ุธุจูˆุทุŸ for example
946
+
947
+ 273
948
+ 00:23:03,430 --> 00:23:08,070
949
+ ุฃู†ุง ู„ุงุฒู… ุฃุทู„ุนู‡ ู„ู„ูƒู„ ู„ูˆ ุจุทู„ุน ุงู„ุนุดุฑุฉ ุฅูŠุด ุงู„ู€
950
+
951
+ 274
952
+ 00:23:08,070 --> 00:23:15,770
953
+ expected ู‡ุชุณุงูˆูŠุŸ ู‡ุชู€ observe ุจุณ ูƒู„ ุจุทู„ุน ุนู„ูŠู‡ ุงู„ู€ raw
954
+
955
+ 275
956
+ 00:23:15,770 --> 00:23:22,010
957
+ total ููŠ ุงู„ู€ column total ุนู„ู‰ 200 ุฅุฐุง 30 ููŠ 70 ุนู„ู‰
958
+
959
+ 276
960
+ 00:23:22,010 --> 00:23:22,270
961
+ 200
962
+
963
+ 277
964
+ 00:23:28,420 --> 00:23:34,840
965
+ ุจุทู„ุน 10.5 ู‡ุฐู‡ ุงู„ู€ expected frequency ุจุณ I just
966
+
967
+ 278
968
+ 00:23:34,840 --> 00:23:39,540
969
+ choose one cell similarly for the other cells ูŠุนู†ูŠ
970
+
971
+ 279
972
+ 00:23:39,540 --> 00:23:43,460
973
+ for example to compute the expected frequency for
974
+
975
+ 280
976
+ 00:23:43,460 --> 00:23:50,460
977
+ 24 ู‡ุฐู‡ ุงู„ุฃูˆู„ู‰ ูˆุงุญุฏุฉ 24 ุงู„ู€ expectation ุจุชุงุนู‡ุง ุฅูŠุด
978
+
979
+ 281
980
+ 00:23:50,460 --> 00:24:00,160
981
+ ุจุณูˆูŠ ุงู„ู€ raw 70 ุงู„ู€ column ุฒูŠู‡ 200 ุฃูƒูŠุฏ ุงู„ุฌูˆุงุจ ู„ูˆ
982
+
983
+ 282
984
+ 00:24:00,160 --> 00:24:07,360
985
+ ุญุณุจุชู‡ 24.5 ุฃูƒุฏ
986
+
987
+ 283
988
+ 00:24:07,360 --> 00:24:10,600
989
+ ู…ุฑุฉ ู‡ุณุชุฎุฏู… ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ total, row total,
990
+
991
+ 284
992
+ 00:24:10,720 --> 00:24:16,520
993
+ column total ุนู„ู‰ ุงู„ูƒู„ ู„ุญุธุฉุŒ ุนุฏุฏ ุงู„ู€ cells column 12
994
+
995
+ 285
996
+ 00:24:16,520 --> 00:24:23,120
997
+ ู„ูƒู† ู‡ู„ ู‡ุชุทู„ุน ู„ู„ู€ 12 ููŠ ุงู„ู‚ุงู†ูˆู†ุŸ ุญูƒูŠู†ุง ููŠ ุงู„ุฃูˆู„ ุนุฏุฏ
998
+
999
+ 286
1000
+ 00:24:23,120 --> 00:24:26,500
1001
+ ู…ุฑุงุช ุงุณุชุฎุฏุงู…ูƒ ู„ู„ู‚ุงู†ูˆู† ุจุงู„ุณูˆุก degrees of freedom
1002
+
1003
+ 287
1004
+ 00:24:26,500 --> 00:24:40,740
1005
+ R-1 ุงู„ู€ R 4 ู…ุด ุจุทู„ุน ู„ูƒู† ุณุช ู…ุฑุงุช ูŠุนู†ูŠ
1006
+
1007
+ 288
1008
+ 00:24:40,740 --> 00:24:46,220
1009
+ ุฃู†ุง ู„ูˆ ุทู„ุนุช ุจุนู„ู…ูƒ ุนู„ู‰ ุงู„ู„ูŠ ู‡ุฃุทู„ุนู‡ ุทู„ุนุช ุงู„ู€ 24.5
1010
+
1011
+ 289
1012
+ 00:24:46,220 --> 00:24:53,080
1013
+ ุทู„ุนุช ุงู„ู€ 30.8 ุงู„ู€
1014
+
1015
+ 290
1016
+ 00:24:53,080 --> 00:24:58,790
1017
+ 14 ูƒู… ู…ู…ูƒู† ุฃุฃุทู„ุนู‡ ุฅู…ุง ุจุงู„ู‚ุงู†ูˆู† ุฃูˆ ุงู„ู€ 70 ู†ู‚ุต
1018
+
1019
+ 291
1020
+ 00:24:58,790 --> 00:25:03,490
1021
+ ุงู„ุงุซู†ูŠู† ู‡ุฏูˆู„ ู…ุน ูƒุฏู‡ ู…ุด ู‡ุชุณุชุฎุฏู… ุงู„ู‚ุงู†ูˆู† ู‡ู†ุง ู‡ุฐู‡
1022
+
1023
+ 292
1024
+ 00:25:03,490 --> 00:25:09,350
1025
+ ู…ุฑุชูŠู† ุงู„ู„ูŠ ุจุนุฏู‡ ู„ุณู‡ ู„ุงุฒู… ุฃุฃุทู„ุนู‡ ู‡ุฐู‡ ู‡ุฐู‡ ู‡ุชุทู„ุน ูˆู‡ุฐู‡
1026
+
1027
+ 293
1028
+ 00:25:09,350 --> 00:25:16,890
1029
+ ู„ุงุฒู… ุฃุฃุทู„ุนู‡ ูˆู‡ุฐู‡ ู…ุง ู„ู‡ุง ู†ุทุฑุญู‡ุง ู‡ุฐู‡ ู„ุงุฒู… ุฃุฃุทู„ุนู‡ ูˆู‡ุฐู‡
1030
+
1031
+ 294
1032
+ 00:25:16,890 --> 00:25:24,650
1033
+ ู„ุงุฒู… ุฃุฃุทู„ุนู‡ ูˆู‡ุฐู‡ ุฃุทุฑุญู‡ุงุŒ ู…ุธุจูˆุทุŸ ุทุจ ุงู„ู„ูŠ ุชุญุช ู‡ุฐู‡
1034
+
1035
+ 295
1036
+ 00:25:24,650 --> 00:25:32,490
1037
+ ุงู„ู€ 70 ู†ู‚ุต ู…ุฌู…ูˆุน ู‡ุฏูˆู„ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุฑู‚ู… ุงู„ู€ 14
1038
+
1039
+ 296
1040
+ 00:25:32,490 --> 00:25:43,850
1041
+ ุฅูŠุด ุจุชุณุงูˆูŠุŸ ุงู„ู€ 14 ุจุชุณุงูˆูŠ 70 ู†ุงู‚ุต 24.5 plus 20 plus
1042
+
1043
+ 297
1044
+ 00:25:43,850 --> 00:25:52,350
1045
+ 10.5 ุฃูƒูŠุฏ ู„ูˆ ุฌู…ุนุชู‡ู… 56
1046
+
1047
+ 298
1048
+ 00:25:52,350 --> 00:25:53,490
1049
+ ุจุทู„ุน 14
1050
+
1051
+ 299
1052
+ 00:25:56,380 --> 00:26:01,220
1053
+ ุจุงู„ุชุงู„ูŠ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุทู„ุนุช ุงู„ู€ 14 ุนุฑูุช ูƒูŠู
1054
+
1055
+ 300
1056
+ 00:26:01,220 --> 00:26:08,920
1057
+ ู‡ุฃุทู„ุนู‡ ูˆุงู„ู€ 17.8 ู†ูุณ ุงู„ุดูŠุก 8 ูˆ 8 ู†ู‚ุต ู…ุฌู…ูˆุน ู‡ุฏูˆู„
1058
+
1059
+ 301
1060
+ 00:26:08,920 --> 00:26:16,580
1061
+ ู‡ุฃุทู„ุนู‡ ุทุจ ูˆุงู„ู€ 8 ูˆ 4 ุนู†ุฏูŠ ุทุฑูŠู‚ุชูŠู† ุฅู…ุง 40 ู†ู‚ุต ู‡ุฏูˆู„
1062
+
1063
+ 302
1064
+ 00:26:16,580 --> 00:26:23,160
1065
+ 40 ู†ู‚ุต ู‡ู†ุง ุทุจุนุง 8 ูˆ 4 ุฃูˆ 42 ู†ู‚ุต ู‡ู†ุง ู…ุน ูƒุฏู‡ ูƒู… ู…ุฑุฉ
1066
+
1067
+ 303
1068
+ 00:26:23,160 --> 00:26:27,020
1069
+ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู†ุŸ ุณุช ู…ุฑุงุช ุฅุฐุง degrees of freedom
1070
+
1071
+ 304
1072
+ 00:26:27,020 --> 00:26:35,020
1073
+ ุจูŠุณุงูˆูŠ number of using the formula ู†ุนู… ุงู„ู„ูŠ
1074
+
1075
+ 305
1076
+ 00:26:35,020 --> 00:26:42,740
1077
+ ู‡ู†ุง ู‡ุฐู‡ ุตุญูŠุญ
1078
+
1079
+ 306
1080
+ 00:26:42,740 --> 00:26:48,800
1081
+ ุจุณ ู‡ูˆ ูŠู„ุฒู…ู†ูŠ ุงู„ู€ 14 ุฌู…ุน ุนุฑู ุจู‚ู‰ ุดูˆู ..ุฎู„ูŠู†ูŠ ุฃูู‡ู…
1082
+
1083
+ 307
1084
+ 00:26:48,800 --> 00:26:55,790
1085
+ degrees of freedom ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูŠ R ุฑูˆ ูƒู…
1086
+
1087
+ 308
1088
+ 00:26:55,790 --> 00:26:59,110
1089
+ ู…ุฑุฉ ุฃู†ุช ุจุชูƒูˆู† ุญุฑ ุฃุนุทูŠ ู‚ูŠู… ุฒูŠ ู…ุง ุฃู†ุช ุนุงูŠุฒ ู…ุด ูƒู„ู‡ู…
1090
+
1091
+ 309
1092
+ 00:26:59,110 --> 00:27:05,070
1093
+ ุฃู†ุง ุญุฑ ููŠ R ู†ู‚ุต ูˆุงุญุฏ ู…ุธุจูˆุท ู„ู…ุง ูŠูƒูˆู† ุฃุฑุจุนุฉ ู‡ุฏูˆู„ ุฎุฏ
1094
+
1095
+ 310
1096
+ 00:27:05,070 --> 00:27:10,270
1097
+ ุฃูŠ ู‚ูŠู… ุจุณ ุงู„ุฃุฎูŠุฑุฉ ู…ุง ู„ู‡ุง restricted ู„ู„ู€ 70 ุฅู„ู‰ ู„ูˆ
1098
+
1099
+ 311
1100
+ 00:27:10,270 --> 00:27:14,450
1101
+ ุญูƒูŠุช ู„ูƒ ููŠ ุนู†ุฏูŠ ุฃุฑุจุน ุฃุฑู‚ุงู… ู…ุฌู…ูˆุนู‡ู… ู…ู† ุงู„ู€ 70 ู…ุน ูƒุฏู‡
1102
+
1103
+ 312
1104
+ 00:27:14,450 --> 00:27:20,850
1105
+ ุฃู†ุง ุญุฑ ุฃุฎุชุงุฑ ุฃูŠ ุซู„ุงุซ ุฃุฑู‚ุงู… ุจุณ ุงู„ุฑุงุจุน ู…ุง ู„ู‡ ู…ู‚ูŠุฏ ุฅู†
1106
+
1107
+ 313
1108
+ 00:27:20,850 --> 00:27:27,190
1109
+ ุฃู†ุง ุงู„ู„ูŠ ุญูƒูŠุช ู„ูƒ you have four choices to get
1110
+
1111
+ 314
1112
+ 00:27:27,190 --> 00:27:31,570
1113
+ seventy in this case you are free to select any ูƒู…
1114
+
1115
+ 315
1116
+ 00:27:31,570 --> 00:27:35,450
1117
+ ูˆุงุญุฏ ู…ู†ู‡ู… ุฃูˆ ุฃูŠ ุซู„ุงุซุฉ ุฃูˆ any three of them ู…ู…ูƒู†
1118
+
1119
+ 316
1120
+ 00:27:35,450 --> 00:27:39,750
1121
+ ุฃุฎุฐ ุฃูŠ ู‚ูŠู… ู…ุด ู‡ูŠูƒ ู…ู…ูƒู† ุฃุฎุฐ 20 ู…ู…ูƒู† ุฃุฎุฐ 15
1122
+
1123
+ 317
1124
+ 00:27:39,750 --> 00:27:45,380
1125
+ ู…ู…ูƒู† ุฃุฎุฐ 10 ุจุณ ุงู„ุฃุฎูŠุฑุฉ restricted the sum
1126
+
1127
+ 318
1128
+ 00:27:45,380 --> 00:27:48,100
1129
+ should be seventy ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ู€ degrees of freedom
1130
+
1131
+ 319
1132
+ 00:27:48,100 --> 00:27:53,980
1133
+ ู‡ู… ุฃุฑุจุนุฉ ู…ุธุจูˆุท ุฅุฐุง ุฃู†ุช ุญุฑ ูƒู… ู…ุฑุฉุŸ ุซู„ุงุซ ู…ุฑุงุช ุงู„ู€ R
1134
+
1135
+ 320
1136
+ 00:27:53,980 --> 00:27:58,320
1137
+ ู†ุงู‚ุต ูˆุงุญุฏ ุงู„ู„ูŠ 4 ู†ุงู‚ุต 1 ุงู„ู„ูŠ 3 ูุฎู„ุต 5
1138
+
1139
+ 321
1140
+ 00:27:58,320 --> 00:28:03,360
1141
+ ูˆ 3 ูˆ 2 ูˆ 53 ู‡ุฐุง 75 ุฅุฌุจุงุฑูŠ you have to
1142
+
1143
+ 322
1144
+ 00:28:03,360 --> 00:28:08,300
1145
+ have 17 ู„ูƒู† ุญุฑ ู‚ุฏุงุด ุงู„ุซู„ุงุซ ุงู„ุฃูˆู„ู‰ ู†ูุณ ุงู„ุดูŠุก
1146
+
1147
+ 323
1148
+ 00:28:08,300 --> 00:28:11,160
1149
+ ุจุงู„ู†ุณุจุฉ ู„ูŠ ุงู„ู€ column ู„ู…ุง ูƒู†ุช ุฏูŠ C column ุฒูŠ ู‡ูŠูƒ
1150
+
1151
+ 324
1152
+ 00:28:11,780 --> 00:28:15,660
1153
+ ู…ุฌู…ูˆุนู‡ู… 42 ุฃู†ุช ุญุฑ ููŠ ุฃูŠ ุซู„ุงุซ ู‚ูŠู… ุจุณ ุงู„ุฑุงุจุน ู…ุง ู„ู‡
1154
+
1155
+ 325
1156
+ 00:28:15,660 --> 00:28:21,600
1157
+ ุฅุฌุจุงุฑูŠ ูุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ C-1 ุนุดุงู† ูƒุฏู‡ ุงู„ู€ use of
1158
+
1159
+ 326
1160
+ 00:28:21,600 --> 00:28:27,780
1161
+ freedom R-1 times C-1 make senseุŸ ุทูŠุจ ุงู„ู„ูŠ ู„ุฃู†
1162
+
1163
+ 327
1164
+ 00:28:27,780 --> 00:28:33,360
1165
+ ุทู„ุนุชู‡ุง ุฏูˆู„ ุทุจุนุง ูˆุงุถุญ ุฃู†ู‡ุง ุจุชุฃุฎุฐ ูˆู‚ุช ููŠ ุงู„ู€ .. ููŠ ุงู„ู€
1166
+
1167
+ 328
1168
+ 00:28:33,360 --> 00:28:36,960
1169
+ computations ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ุจุนุทูŠูƒ ุดุบู„ ุฃุจุณุท ู…ู†
1170
+
1171
+ 329
1172
+ 00:28:36,960 --> 00:28:37,180
1173
+ ู‡ูŠูƒ
1174
+
1175
+ 330
1176
+ 00:28:39,980 --> 00:28:44,000
1177
+ ูŠุนู†ูŠ ู…ุซู„ุง ุจุนุทูŠูƒ ุงู„ู€ frequency expected frequency
1178
+
1179
+ 331
1180
+ 00:28:44,000 --> 00:28:50,520
1181
+ ู…ุนู„ูˆู… ุฃุบู„ุจู‡ุง ูˆุจุทู„ุจ ุฅู†ูƒ ุชุญุณุจ ู…ุซู„ุง ุงุซู†ูŠู† ู…ู†ู‡ู… ู…ุซู„ุง
1182
+
1183
+ 332
1184
+ 00:28:50,520 --> 00:28:57,200
1185
+ ุฃุบู„ุจู‡ุง ู…ุนู„ูˆู… ูˆุงุญุณุจ ุงุซู†ูŠู† ู…ู†ู‡ู… ูˆุงู„ุจุงู‚ูŠ ุฎู„ุงุต ูŠุนู†ูŠ
1186
+
1187
+ 333
1188
+ 00:28:57,200 --> 00:29:00,820
1189
+ ุฅู…ุง ุจุนุทูŠูƒ ุฅูŠุงู‡ู… ูŠุนู†ูŠ ุฃูุถู„ ุฃุนุทุงูƒ ุงู„ุงุซู†ูŠู† ู‡ุฏูˆู„
1190
+
1191
+ 334
1192
+ 00:29:00,820 --> 00:29:05,880
1193
+ ุชุญุณุจูŠู‡ู… ูˆู…ุนุทู‰ ู…ุนุงูƒ ุญุงุฌุฉ ุฒูŠ ูƒุฏู‡ ูƒู…ุงู† ุงุซู†ูŠู†
1194
+
1195
+ 335
1196
+ 00:29:09,410 --> 00:29:14,010
1197
+ ุฃูŠู‡ุŸ ุจุชุนุฑู ุชุฌู…ุน ุงู„ู€ totalุŸ ุชุฌู…ุน ุงู„ู€ 24 ุชุฌู…ุน ุงู„ู€ 32 ูˆุงู„ู€
1198
+
1199
+ 336
1200
+ 00:29:14,010 --> 00:29:19,350
1201
+ 14 ุชุฌู…ุน ุงู„ู€ 70 ุจู†ูุน
1202
+
1203
+ 337
1204
+ 00:29:19,350 --> 00:29:24,130
1205
+ ุฃุนุทูŠูƒ ุงู„ู€ totalุŸ ุทูŠุจ ุฃุนุทูŠุชูƒ ุจุนุถ ุงู„ู‚ูŠู… ุฒูŠ ู‡ูŠูƒ ูˆ
1206
+
1207
+ 338
1208
+ 00:29:24,130 --> 00:29:27,350
1209
+ ุฃุญูƒูŠู„ูƒ ูƒุงู…ู„ุฉ ู‡ุชุนุฑู ุชูƒู…ู„ูŠู†ู‡ู… ู…ุด ู‡ูŠูƒุŸ ู„ุฃู† ุฃู†ุง ู„ูˆ
1210
+
1211
+ 339
1212
+ 00:29:27,350 --> 00:29:31,790
1213
+ ุนุฑูุช ู„ูˆ ู‡ุฐู‡ ู…ุนู„ูˆู…ุฉ ูˆู‡ุฐู‡ ู…ุนู„ูˆู…ุฉ ูˆู‡ุฐู‡ ุฃู†ุง ุญุณุจุชู‡ุง
1214
+
1215
+ 340
1216
+ 00:29:31,790 --> 00:29:36,910
1217
+ ุจู‚ุฏุฑ ุฃุทู„ู‘ูŠ ู„ุชุญุช ูˆู‡ูƒุฐุง ูŠุนู†ูŠ ุฃุนุทูŠูƒ ู…ุนู„ูˆู…ุงุช ูƒุงูุฉ
1218
+
1219
+ 341
1220
+ 00:29:36,910 --> 00:29:46,520
1221
+ ุชุญู„ูŠู† ุงู„ู…ุซุงู„ ูˆุชุญุณุจูŠ ุจุงู„ุญุฏ ุงู„ุฃุฏู†ู‰ ุฃูˆ
1222
+
1223
+ 342
1224
+ 00:29:46,520 --> 00:29:52,400
1225
+ ุฃุญูŠุงู†ู‹ุง ู…ู…ูƒู† ุฃุฑูŠุญูƒ ุฃุนุทูŠูƒ ูŠูˆู… ูƒู„ู‡ู… ุฃูˆ
1226
+
1227
+ 343
1228
+ 00:29:52,400 --> 00:29:54,640
1229
+ ุฎู„ูŠูƒ ุชุญุณุจ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ู„ูŠ ู‡ูŠ ุจุชุทู„ุน ุงู„ู€ case score
1230
+
1231
+ 344
1232
+ 00:29:54,640 --> 00:30:01,280
1233
+ ุงู„ู€ statistic ุงู„ู‚ุงู†ูˆู† ู‡ูŠ ุงู„ู€ summation ุงู„ู€
1234
+
1235
+ 345
1236
+ 00:30:01,280 --> 00:30:06,360
1237
+ observed ู‡ูˆ 84 ุฃูˆู„ ูˆุงุญุฏุฉ ู‡ุงูŠ sum observed minus
1238
+
1239
+ 346
1240
+ 00:30:06,360 --> 00:30:11,480
1241
+ expected unexpected ู‡ุฐูŠ ุงู„ู€ all cells ู„ูƒู„ ุงู„ู€ cells
1242
+
1243
+ 347
1244
+ 00:30:11,480 --> 00:30:20,060
1245
+ ูุจุงุฎุฏ cell by cell number one is 24 minus ุจุฑุฌุน ุงู„ู€
1246
+
1247
+ 348
1248
+ 00:30:20,060 --> 00:30:25,400
1249
+ expected ุฃู†ุง ุญุณุจุชู‡ ุทุจุนุง matching first cell versus
1250
+
1251
+ 349
1252
+ 00:30:25,400 --> 00:30:33,120
1253
+ one one row one column one 24.5 squared
1254
+
1255
+ 350
1256
+ 00:30:37,880 --> 00:30:45,140
1257
+ ุงู„ุซุงู†ูŠุฉ 32-30
1258
+
1259
+ 351
1260
+ 00:30:45,140 --> 00:30:50,740
1261
+ .8 ุงู‡
1262
+
1263
+ 352
1264
+ 00:30:50,740 --> 00:31:00,400
1265
+ ุฎู„ุงุต ูˆุจูƒู…ู„ ู„ู„ุงุฎุฑ ู„ุขุฎุฑ ุงู„ู„ูŠ ู‡ูŠ 10-8
1266
+
1267
+ 353
1268
+ 00:31:06,120 --> 00:31:11,500
1269
+ ูˆุงุถุญ ุงู„ุฏูˆุดุฉ ููŠ ุงู„ู€ calculations ุจุณ ูˆุทู„ุน ุงู„ู€ job
1270
+
1271
+ 354
1272
+ 00:31:11,500 --> 00:31:20,660
1273
+ point 0.709 ุฅุฐุง ุทู„ุนุช ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ู€ statistic ุงู„ู„ูŠ
1274
+
1275
+ 355
1276
+ 00:31:20,660 --> 00:31:27,440
1277
+ ู„ุงุฒู… ุฃุฃุทู„ุนู‡ ู…ูŠู†ุŸ ุงู„ู€ Kยฒ Alpha ุงู„ู„ูŠ ูŠุนู…ู„ ูƒุงูŠ ุณูƒูˆูŠุฑ
1278
+
1279
+ 356
1280
+ 00:31:27,440 --> 00:31:34,000
1281
+ ุชุงุจู„ ุทุจุนุง ุงู„ู€ Kยฒ ุญูƒูŠู†ุง ุนู†ู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุช right
1282
+
1283
+ 357
1284
+ 00:31:34,000 --> 00:31:40,030
1285
+ skewed ุงู„ุขู† ุจุงู„ู†ุณุจุฉ ู„ู€ degrees of freedom ุงู„ู…ุญุฏุฏุฉ 6
1286
+
1287
+ 358
1288
+ 00:31:40,030 --> 00:31:44,490
1289
+ % ูˆ alpha 5%
1290
+
1291
+ 359
1292
+ 00:32:08,910 --> 00:32:16,410
1293
+ ุฃูˆู„ ุฎุทูˆุฉ ู…ูˆุฌู‘ู‡ ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉ 6 ุฃู„ู
1294
+
1295
+ 360
1296
+ 00:32:16,410 --> 00:32:21,530
1297
+ ู‡ูˆ 5% ุงู„ู…ุชู‚ุงุจู„
1298
+
1299
+ 361
1300
+ 00:32:21,530 --> 00:32:27,610
1301
+ ุจูŠู† row 6 ูˆุฎุทูˆุฉ 5% ู‡ูŠ ู‚ูŠู…ุฉ ูƒุงูŠ ุฃูƒุชุฑ
1302
+
1303
+ 362
1304
+ 00:32:32,940 --> 00:32:38,460
1305
+ 12.56 ุฃูˆ
1306
+
1307
+ 363
1308
+ 00:32:38,460 --> 00:32:43,800
1309
+ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12
1310
+
1311
+ 364
1312
+ 00:32:43,800 --> 00:32:44,800
1313
+ .6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6
1314
+
1315
+ 365
1316
+ 00:32:44,800 --> 00:32:46,280
1317
+ ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ
1318
+
1319
+ 366
1320
+ 00:32:46,280 --> 00:32:46,340
1321
+ ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ
1322
+
1323
+ 367
1324
+ 00:32:46,340 --> 00:32:52,300
1325
+ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ 12.6 ุฃูˆ
1326
+
1327
+ 368
1328
+ 00:32:52,300 --> 00:33:02,000
1329
+ 12.6 ุฃูˆ 12.6 ุงู‡ูˆ ู‚ูŠู…ุฉ 0.709 ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ
1330
+
1331
+ 369
1332
+ 00:33:02,000 --> 00:33:04,820
1333
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1334
+
1335
+ 370
1336
+ 00:33:04,820 --> 00:33:05,860
1337
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1338
+
1339
+ 371
1340
+ 00:33:05,860 --> 00:33:10,360
1341
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1342
+
1343
+ 372
1344
+ 00:33:10,360 --> 00:33:10,840
1345
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1346
+
1347
+ 373
1348
+ 00:33:10,840 --> 00:33:13,660
1349
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1350
+
1351
+ 374
1352
+ 00:33:13,660 --> 00:33:14,360
1353
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1354
+
1355
+ 375
1356
+ 00:33:14,360 --> 00:33:16,960
1357
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1358
+
1359
+ 376
1360
+ 00:33:16,960 --> 00:33:17,060
1361
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1362
+
1363
+ 377
1364
+ 00:33:17,060 --> 00:33:26,300
1365
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑ
1366
+
1367
+ 378
1368
+ 00:33:27,030 --> 00:33:29,950
1369
+ ูˆู„ุง don't reject ูˆู„ุง don't reject ู…ุนู†ุงู‡ ูƒุฏู‡ there
1370
+
1371
+ 379
1372
+ 00:33:29,950 --> 00:33:36,110
1373
+ is ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุทู„ุน ู…ุง ููŠุด relationship ู…ุนู†ุงู‡ there
1374
+
1375
+ 380
1376
+ 00:33:36,110 --> 00:33:40,090
1377
+ is not sufficient evidence that the meal plan and
1378
+
1379
+ 381
1380
+ 00:33:40,090 --> 00:33:43,750
1381
+ class standing are related ู…ุนู†ุงู‡ ู…ุง ููŠุด ุนู†ุฏ ู‡ุฐูŠู†
1382
+
1383
+ 382
1384
+ 00:33:43,750 --> 00:33:46,430
1385
+ ุงู„ู„ูŠ ุชุฏู‘ุนูŠ ุฃู†ู‡ู… ู…ุฑุชุจุทูŠู† ู…ุน ุจุนุถ ู…ุน ูƒุฏู‡ ู…ุง ู„ู‡ู…
1386
+
1387
+ 383
1388
+ 00:33:46,430 --> 00:33:52,250
1389
+ ู…ุณุชู‚ู„ูŠู† ุนู† ุจุนุถ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุต Sophomore ูˆู„ุง
1390
+
1391
+ 384
1392
+ 00:33:52,250 --> 00:33:55,290
1393
+ Junior ูˆู„ุง Senior ูˆู„ุง Freshman ู…ุด ู‡ุชุฃุซุฑ ุนู„ู‰
1394
+
1395
+ 385
1396
+ 00:33:55,290 --> 00:33:58,090
1397
+ number of meals ุงู„ู„ูŠ ู‡ูˆ ุจูŠุงุฎุฐู‡ ููŠ ุงู„ุฃุณุจูˆุน ู…ุน ูƒุฏู‡
1398
+
1399
+ 386
1400
+ 00:33:58,090 --> 00:34:05,610
1401
+ ุงู„ุทุงู„ุจ ู…ุง ู„ู‡ุŸ ูŠุนู†ูŠ ุฃุซุฑ ุนู„ูŠู‡ ุงู„ูˆุถุน ุชุจุนู‡ ูˆู„ุง ู…ู†ูุชุญ
1402
+
1403
+ 387
1404
+ 00:34:05,610 --> 00:34:12,830
1405
+ ู‡ูˆ ู…ุด ูุงุฑู‚ุฉ ู…ุนุงู‡ ุฒูŠ ูˆ ุฒูŠ ุบูŠุฑู‡ ูˆุงุถุญุŸ
1406
+
1407
+ 388
1408
+ 00:34:12,830 --> 00:34:20,310
1409
+ ู‡ุฐุง ูƒุงู† ุขุฎุฑ ุญุงุฌุฉ ููŠ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/eNf02GSwVKg_postprocess.srt ADDED
@@ -0,0 +1,1560 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุณู†ูƒู…ู„ ููŠ
4
+
5
+ 2
6
+ 00:00:24,870 --> 00:00:31,850
7
+ ุงู„ุญู„ู‚ู‡ ุงู„ุชุงุณุนุฉ ูˆุงู„ุฃุฎุฑ ู…ุฑุฉ ุชุญุฏุซู†ุง ุนู† ู…ุฎุชู„ูุฉ ูƒุงูŠ
8
+
9
+ 3
10
+ 00:00:31,850 --> 00:00:36,130
11
+ ุณูƒูˆุงุฑ ุจูŠู† ุงุซู†ูŠู† ู…ุฌุชู…ุนุงุช ูˆู…ู‚ุงูˆู…ุงุช ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡
12
+
13
+ 4
14
+ 00:00:36,130 --> 00:00:41,330
15
+ ุณู†ุทูˆุฑ ู‡ุฐุง ุงู„ู†ุชุงุฆุฌ ู„ู…ุฌู…ูˆุนุงุช ุงูƒุชุฑ ู…ู† ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุงุช
16
+
17
+ 5
18
+ 00:00:41,330 --> 00:00:47,170
19
+ ูู‡ุฐู‡ ุงู„ู…ุฌุงู„ู‡ ุชุชูƒู„ู… ุนู† ู…ุฎุชู„ูุงุช ูƒุงูŠ ุณูƒูˆุงุฑ ุจูŠู† ุงูƒุชุฑ
20
+
21
+ 6
22
+ 00:00:47,170 --> 00:00:54,150
23
+ ู…ู† ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุงุชูู‡ู†ุง ู†ุฌุนู„ ุงู„ุงุฎุชุตุงุฑ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช
24
+
25
+ 7
26
+ 00:00:54,150 --> 00:00:57,750
27
+ ุฅู„ู‰ ุญุงู„ุฉ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
28
+
29
+ 8
30
+ 00:00:57,750 --> 00:00:58,830
31
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
32
+
33
+ 9
34
+ 00:00:58,830 --> 00:00:59,650
35
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
36
+
37
+ 10
38
+ 00:00:59,650 --> 00:01:00,510
39
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
40
+
41
+ 11
42
+ 00:01:00,510 --> 00:01:01,150
43
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
44
+
45
+ 12
46
+ 00:01:01,150 --> 00:01:14,450
47
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
48
+
49
+ 13
50
+ 00:01:19,600 --> 00:01:24,820
51
+ ูˆู‡ู†ุง ู†ู‚ูˆู… ุจุชุตู…ูŠู… ุงู„ู†ุงุฑ ุฅู„ู‰ ุซู„ุงุซ ู…ุฌู…ูˆุนุงุช ุฃูˆ ุซู„ุงุซ
52
+
53
+ 14
54
+ 00:01:24,820 --> 00:01:37,460
55
+ ูƒุงุชุฌุงุฑุงุช ู…ุฏุฎู„ูŠู†
56
+
57
+ 15
58
+ 00:01:37,460 --> 00:01:45,140
59
+ ุจุดูƒู„ ูƒุจูŠุฑ ู…ุฏุฑุฏ ู…ุฏุฎู„ูŠู†
60
+
61
+ 16
62
+ 00:01:45,140 --> 00:01:49,280
63
+ ูˆู…ุถุงุฏ ู…ุฏุฎู„ูŠู†
64
+
65
+ 17
66
+ 00:01:50,290 --> 00:01:53,930
67
+ So we classify smoking into three categories
68
+
69
+ 18
70
+ 00:01:53,930 --> 00:02:01,050
71
+ heavy, moderate and light ุดุฏูŠุฏ ู…ุชูˆุณุท ูˆู‚ู„ูŠู„ and
72
+
73
+ 19
74
+ 00:02:01,050 --> 00:02:08,590
75
+ education for example we have secondary or
76
+
77
+ 20
78
+ 00:02:08,590 --> 00:02:18,810
79
+ less ู…ุน ุซุงู†ูˆูŠุฉ ุงูˆ ุงู‚ู„ bachelor master
80
+
81
+ 21
82
+ 00:02:21,390 --> 00:02:28,490
83
+ ูˆ Phd ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠูˆุฌุฏ .. ู„ุฏูŠู†ุง ุงุซู†ูŠู† ู…ูŠุฒุงู†ูŠุงุช
84
+
85
+ 22
86
+ 00:02:28,490 --> 00:02:34,110
87
+ ุงุชุญุงุฏ
88
+
89
+ 23
90
+ 00:02:34,110 --> 00:02:42,410
91
+ ูˆ ุฅุฏุงุฑุฉ ูˆ ู†ุญู† ู…ู‡ุชู…ูˆู† ุจุงู„ุชุญู‚ูŠู‚ ุจูŠู† ุงุชุญุงุฏ ูˆ ุฅุฏุงุฑุฉ
92
+
93
+ 24
94
+ 00:02:44,490 --> 00:02:50,130
95
+ smoking habit ุนุฏู„ ุนุฏุฏ ุชุฏุฎูŠู† ุงู„ุตุจุงุฒ is classified
96
+
97
+ 25
98
+ 00:02:50,130 --> 00:02:53,710
99
+ into three groups or three categories heavy
100
+
101
+ 26
102
+ 00:02:53,710 --> 00:02:57,490
103
+ moderate and light while the other variable of
104
+
105
+ 27
106
+ 00:02:57,490 --> 00:03:00,110
107
+ interest is education and this one is classified
108
+
109
+ 28
110
+ 00:03:00,110 --> 00:03:04,290
111
+ into four groups secondary bachelor master and PhD
112
+
113
+ 29
114
+ 00:03:04,290 --> 00:03:09,050
115
+ so in this case we are comparing among more than
116
+
117
+ 30
118
+ 00:03:09,050 --> 00:03:15,000
119
+ two proportions ู„ูˆ ุฃู†ุง ุนุงูŠุฒ ุฃุดูˆูุฅุฐุง ู†ุณุจุฉ ุงู„ู…ุฏุงุฎู„ูŠู†
120
+
121
+ 31
122
+ 00:03:15,000 --> 00:03:20,380
123
+ ุชุฎุชู„ู ุจุญุณุจ ุงู„ู…ุณู…ู‰ ุงู„ุดุฎุต ู…ุงู‡ูˆ ุจูƒู„ูˆุฑูˆุณ ู…ุฑุญูˆุด ูˆูƒุฐุง
124
+
125
+ 32
126
+ 00:03:20,380 --> 00:03:29,880
127
+ ูู‡ู†ุง ุนู†ุฏูŠ three rows for example and
128
+
129
+ 33
130
+ 00:03:29,880 --> 00:03:36,960
131
+ the other one four columns this
132
+
133
+ 34
134
+ 00:03:36,960 --> 00:03:40,200
135
+ table is called a three by four table
136
+
137
+ 35
138
+ 00:03:46,240 --> 00:03:55,120
139
+ ู‡ุฐู‡ ุงู„ุทุงูˆู„ุฉ ู…ุฑุณูˆู…ุฉ ูƒุชุงุจุฉ ู…ุฏุฑุณุฉ
140
+
141
+ 36
142
+ 00:03:55,120 --> 00:04:05,020
143
+ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ
144
+
145
+ 37
146
+ 00:04:05,020 --> 00:04:10,660
147
+ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ
148
+
149
+ 38
150
+ 00:04:13,970 --> 00:04:16,270
151
+ ู„ุฐู„ูƒ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ูŠุณู…ู‰ ุซู„ุงุซุฉ ู„ุฃู†ู†ุง ู„ุฏูŠู†ุง ุซู„ุงุซ
152
+
153
+ 39
154
+ 00:04:16,270 --> 00:04:22,750
155
+ ุฑูˆุงูŠุงุช ูˆ4 ู‚ู„ู… ุซู„ุงุซุฉ ุนู„ู‰ ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
156
+
157
+ 40
158
+ 00:04:22,750 --> 00:04:25,750
159
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
160
+
161
+ 41
162
+ 00:04:25,750 --> 00:04:30,270
163
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุงุฑุจุน
164
+
165
+ 42
166
+ 00:04:30,270 --> 00:04:35,250
167
+ ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน
168
+
169
+ 43
170
+ 00:04:35,250 --> 00:04:36,890
171
+ ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน
172
+
173
+ 44
174
+ 00:04:36,890 --> 00:04:41,410
175
+ ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน
176
+
177
+ 45
178
+ 00:04:43,080 --> 00:04:47,940
179
+ ุงู„ุนุงุฏุฉ ุฅู„ู‰ ุจุงูŠ ุณูŠ ุงุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ุฏุฎูˆู„ ููŠ ุงู„ู†ุงุฑ
180
+
181
+ 46
182
+ 00:04:47,940 --> 00:04:51,720
183
+ ู„ุฐุง ู„ุฏูŠู†ุง ุจุงูŠ ูˆุงุญุฏ ุงู‚ู„ ุจุงูŠ ุงุซู†ูŠู† ุงู‚ู„ ุจุงูŠ ุซู„ุงุซ ุงุฐุง
184
+
185
+ 47
186
+ 00:04:51,720 --> 00:04:56,360
187
+ ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ุฏุฑุงุณุฉ ุจุงูŠ ูˆุงุญุฏ ุจุงูŠ ุงุซู†ูŠู† ุจุงูŠ ุซู„ุงุซุฉ ูˆ
188
+
189
+ 48
190
+ 00:04:56,360 --> 00:05:03,200
191
+ ุจุงูŠ ุฃุฑุจุนุฉ ูƒู„ ูˆุงุญุฏ ุงู„ุขู† ุนู†ุฏู…ุง ู†ูุชุฑุถ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ
192
+
193
+ 49
194
+ 00:05:03,200 --> 00:05:08,340
195
+ ุงู„ุฎุงุทุฆ ู‡ุฐุง ู„ุง ูŠุนู†ูŠ ุงู† ุฌู…ูŠุน ุงู„ ุจุงูŠ ุฌูŠ ู…ุฑุชุจุทูŠู† ูŠุนู†ูŠ
196
+
197
+ 50
198
+ 00:05:08,340 --> 00:05:13,280
199
+ ุฃู† ู‡ู†ุงูƒ ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุงุญุฏ ู…ู† ู‡ุฐู‡ ุงู„ุจูŠdiffers from the
200
+
201
+ 51
202
+ 00:05:13,280 --> 00:05:22,700
203
+ others ุนุดุงู† ูƒุฏู‡ ุจูƒุชุจู‡ุง not all not all of the by j
204
+
205
+ 52
206
+ 00:05:22,700 --> 00:05:34,200
207
+ are the same ู…ุด ูƒู„ู‡ู… ุฒูŠ ุจุนุถ or are equal ู‡ุฐู‡
208
+
209
+ 53
210
+ 00:05:34,200 --> 00:05:37,020
211
+ ุงู„ null ูˆุงู„ุชุฑู†ูŠุฉ ุชุงุนูŠ ุจู‚ู‰ ุฏู„ูˆู‚ุชูŠ ุงู„chi-square
212
+
213
+ 54
214
+ 00:05:37,020 --> 00:05:38,860
215
+ statistic is the same as
216
+
217
+ 55
218
+ 00:05:44,590 --> 00:05:51,910
219
+ ุฃู†ุง ุนู†ุฏูŠ ููŠู‡ ุฏุฑุฌุงุช ุนู„ู…ูŠุฉ ุซุงู†ูˆูŠุฉ ุจูƒุงู„ูŠูˆุฒ ู…ุงุฌุณุชูŠุฑ ูˆ
220
+
221
+ 56
222
+ 00:05:51,910 --> 00:06:00,210
223
+ PhD ุงู„ู„ูŠ
224
+
225
+ 57
226
+ 00:06:00,210 --> 00:06:03,230
227
+ ู…ุงู‚ุนุฏู‡ ุฏูƒุชูˆุฑ ูŠุทู„ุน ุนู„ูŠู‡ PhD philosophy degree ุฃูˆ
228
+
229
+ 58
230
+ 00:06:03,230 --> 00:06:07,870
231
+ ุฏุฑุฌุฉ ุงู„ูู„ุณูุฉ ุงู„
232
+
233
+ 59
234
+ 00:06:07,870 --> 00:06:12,320
235
+ chi-square ุงู„ statistic ู‡ูŠู†ุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ุฃูˆู„ ู„ูˆ
236
+
237
+ 60
238
+ 00:06:12,320 --> 00:06:16,360
239
+ summation ุงู„ู€ f observed frequency observed minus
240
+
241
+ 61
242
+ 00:06:16,360 --> 00:06:19,680
243
+ expected frequency squared over expected frequency
244
+
245
+ 62
246
+ 00:06:19,680 --> 00:06:26,240
247
+ now suppose for example there are two rows suppose
248
+
249
+ 63
250
+ 00:06:26,240 --> 00:06:31,640
251
+ we have two rows ุตููŠู† ุจุณ ูˆ c columns
252
+
253
+ 64
254
+ 00:06:35,760 --> 00:06:39,740
255
+ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ูŠุณู…ู‰ two by C ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ
256
+
257
+ 65
258
+ 00:06:39,740 --> 00:06:45,100
259
+ ุฑู‚ู…ูŠู† ูƒุซูŠุฑ ู…ู† ูƒู„ู…ุฉ C ุจูŠุณู…ูŠู‡ two by C ุฏุฑุฌุฉ ุงู„ูุฑุฏู‡
260
+
261
+ 66
262
+ 00:06:45,100 --> 00:06:48,960
263
+ ู…ุด ู‡ุชุณุงูˆูŠ ุงุญู†ุง
264
+
265
+ 67
266
+ 00:06:48,960 --> 00:06:51,820
267
+ ุงุฎุฏู†ุง ุงุฐุง ูƒุงู†ุช two by two ูƒุงู†ุช one ู…ุด ู‡ูŠูƒ ู‡ู†ุง
268
+
269
+ 68
270
+ 00:06:51,820 --> 00:06:59,620
271
+ ุจุชุตูŠุฑ two minus one times C minus one ู„ุงู† two
272
+
273
+ 69
274
+ 00:06:59,620 --> 00:07:04,660
275
+ minus one is one ูู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงูŠู‡ุŸ C minus one
276
+
277
+ 70
278
+ 00:07:05,350 --> 00:07:09,990
279
+ ุงู„ู…ุฑุฉ ุงู„ุณุงุจู‚ุฉ ูƒุงู†ุช ุงู„ูƒูˆู„ูˆู…ุฉ ูƒู… ูˆุงุญุฏุŸ ุงุชู†ูŠู† ู„ูˆ ุนูˆุถุช
280
+
281
+ 71
282
+ 00:07:09,990 --> 00:07:12,990
283
+ ุงู†ุณูŠุจ ุงุชู†ูŠู†ุŒ ุงูŠุด ุจูŠุทู„ุนุŸ ูˆุงุญุฏุŒ ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ุงู„ู…ุฑุฉ
284
+
285
+ 72
286
+ 00:07:12,990 --> 00:07:17,030
287
+ ุงู„ุณุงุจู‚ุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ูƒู„ ุฌุณู… ููŠ
288
+
289
+ 73
290
+ 00:07:17,030 --> 00:07:21,170
291
+ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ ู„ุฏูŠู‡ ุชูˆู‚ูŠุช ุนุฏุฏ ุชู‚ุฑูŠุจ ู…ู† ุฃู‚ู„ ูˆุงุญุฏ
292
+
293
+ 74
294
+ 00:07:21,170 --> 00:07:28,670
295
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ
296
+
297
+ 75
298
+ 00:07:28,670 --> 00:07:29,750
299
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ
300
+
301
+ 76
302
+ 00:07:29,750 --> 00:07:34,890
303
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณู‡ู†ุง
304
+
305
+ 77
306
+ 00:07:34,890 --> 00:07:39,070
307
+ ุจุงู„ู†ุณุจุฉ ู„ู€ two by C ุฃูˆ R by C ูŠูƒูˆู† at least one
308
+
309
+ 78
310
+ 00:07:39,070 --> 00:07:42,950
311
+ ูŠุนู†ูŠ ู‡ุฏูˆู„ expected frequency should be at least
312
+
313
+ 79
314
+ 00:07:42,950 --> 00:07:49,170
315
+ one ุนู„ู‰ ุงู„ุฃู‚ู„ ุชูƒูˆู† ู‚ูŠู…ุชู‡ุง ุณูˆู‰ ูˆุงุญุฏ ุฒูŠ
316
+
317
+ 80
318
+ 00:07:49,170 --> 00:07:52,210
319
+ ู…ุง ุญูƒูŠู†ุง ู…ุฑุฉ ูุงุชุฑุฉ we can compute the overall
320
+
321
+ 81
322
+ 00:07:52,210 --> 00:07:56,110
323
+ proportion by using this formula last time we have
324
+
325
+ 82
326
+ 00:07:56,600 --> 00:08:07,720
327
+ X1 plus X2 all the way
328
+
329
+ 83
330
+ 00:08:07,720 --> 00:08:11,600
331
+ up to XC ู†ุฌู…ุญู‡ู… ูˆู†ุฌุณู…ู‡ุง ู„ู€ total sample size N1
332
+
333
+ 84
334
+ 00:08:11,600 --> 00:08:12,900
335
+ plus N2 plus NC
336
+
337
+ 85
338
+ 00:08:23,930 --> 00:08:31,690
339
+ ุฅุฐุง ู†ูุณ ุงู„ู‚ุตุฉ ุงู„ุชุงุจุนุฉ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ ุฅุฐุง
340
+
341
+ 86
342
+ 00:08:31,690 --> 00:08:36,270
343
+ ุงู„ู„ูŠ ู‡ุงุฎุฏู‡ ุงู„ุขู† ุจู†ูุณ ุงู„ููƒุฑุฉ ุจุฏู„ ู…ุง ูŠูƒูˆู† ุนู†ุฏู‰ two
344
+
345
+ 87
346
+ 00:08:36,270 --> 00:08:41,310
347
+ rows ูˆ two columns ู„ูˆ ูƒุงู† ุนู†ุฏู‰ R rows ูŠุนู†ูŠ ุนุฏุฉ
348
+
349
+ 88
350
+ 00:08:41,310 --> 00:08:45,850
351
+ ุตููˆู R ูŠุนู†ูŠ in general ูˆ C column ูŠุนู†ูŠ ุจุฏู„ two by
352
+
353
+ 89
354
+ 00:08:45,850 --> 00:08:52,440
355
+ Cุฎู„ู‘ูŠู‡ุง R rows by C columns ูุจู†ุณู…ูŠ ุงู„ู€ chi-square
356
+
357
+ 90
358
+ 00:08:52,440 --> 00:08:56,560
359
+ ุงู„ู„ูŠ ุฌูŠู‡ ุงู„ู€ chi-square test of independence ุงู„ู€
360
+
361
+ 91
362
+ 00:08:56,560 --> 00:09:00,700
363
+ chi-square ู„ู„ุงุณุชู‚ู„ุงู„ ู„ุงุฎุชุจุงุฑ ุงู„ุงุณุชู‚ู„ุงู„ ู‡ุฐุง similar
364
+
365
+ 92
366
+ 00:09:00,700 --> 00:09:04,200
367
+ ู†ูุณ ู…ุง ุงุชุฎุฐู†ุงู‡ ููŠ ุงู„ุฃูˆู„ to the chi-square for
368
+
369
+ 93
370
+ 00:09:04,200 --> 00:09:06,660
371
+ equality of more than two population proportions
372
+
373
+ 94
374
+ 00:09:06,660 --> 00:09:10,000
375
+ but extend the concept of contingency tables with
376
+
377
+ 95
378
+ 00:09:10,000 --> 00:09:17,260
379
+ R rows and C columns ูŠุนู†ูŠ ุจุทุฑุช ุงู„ R ุจุงุชู†ูŠู†ู‡ูˆ ู…ุซู„ู‹ุง
380
+
381
+ 96
382
+ 00:09:17,260 --> 00:09:21,620
383
+ ู…ุซู„ู‹ุง ุนู†ุฏูƒ ุนุฑุจ ุชู„ุงุชุฉ ุงูุชุฑุถ ูุจู†ุณู…ูŠู‡ test of
384
+
385
+ 97
386
+ 00:09:21,620 --> 00:09:25,840
387
+ independence ูŠุนู†ูŠ ุจุฏู„ ุงู„ุงุชู†ูŠู† ุตุงุฑ ุนู†ุฏูƒ ุนุฑุจ ุชู„ุงุชุฉ
388
+
389
+ 98
390
+ 00:09:25,840 --> 00:09:29,700
391
+ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุงูˆ ู‡ูƒุฐุง ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุณุชุทูŠุน ุฃู† ู†ูƒุชุจ
392
+
393
+ 99
394
+ 00:09:29,700 --> 00:09:33,920
395
+ ุงู„hypothesis ุงู„ุงู†ุงู„ูŠุฉ ุจุฏู„ุง ู…ู† by one equals by two
396
+
397
+ 100
398
+ 00:09:33,920 --> 00:09:41,880
399
+ all the way up to by C ู„ุฃู† ู„ุฏูŠู†ุง ุนุฑุจ ุชู„ุงุชุฉุชุบูŠูŠุฑ
400
+
401
+ 101
402
+ 00:09:41,880 --> 00:09:45,960
403
+ ู‡ุฐุง ุงู„ู€ null ุจุงุณุชุฎุฏุงู… ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ
404
+
405
+ 102
406
+ 00:09:45,960 --> 00:09:49,300
407
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
408
+
409
+ 103
410
+ 00:09:49,300 --> 00:09:53,760
411
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
412
+
413
+ 104
414
+ 00:09:53,760 --> 00:09:54,920
415
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
416
+
417
+ 105
418
+ 00:09:54,920 --> 00:09:56,560
419
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
420
+
421
+ 106
422
+ 00:09:56,560 --> 00:10:00,640
423
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
424
+
425
+ 107
426
+ 00:10:00,640 --> 00:10:10,700
427
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
428
+
429
+ 108
430
+ 00:10:10,910 --> 00:10:15,930
431
+ independent this means I mean independent means
432
+
433
+ 109
434
+ 00:10:15,930 --> 00:10:19,090
435
+ there is no relationship between them ู…ุงููŠุด ุนู„ุงู‚ุฉ
436
+
437
+ 110
438
+ 00:10:19,090 --> 00:10:22,090
439
+ ุจูŠู† ุงู„ุฅุชู†ูŠู†ุŒ ู‡ุงูŠ ู…ุนู†ู‰ independent ูˆุงู„ุงู„ุชุงู†ูŠุฉ ู…ุด
440
+
441
+ 111
442
+ 00:10:22,090 --> 00:10:25,610
443
+ ู‡ูŠูƒูˆู† ุนูƒุณ
444
+
445
+ 112
446
+ 00:10:25,610 --> 00:10:28,110
447
+ ุนู„ู‰ ุทูˆู„ ุงู„ two variables or the two categorical
448
+
449
+ 113
450
+ 00:10:28,110 --> 00:10:31,550
451
+ variables are dependent ุฃูˆ related ูŠุนู†ูŠ ููŠู‡ ุงุฑุชุจุงุท
452
+
453
+ 114
454
+ 00:10:31,550 --> 00:10:36,970
455
+ ุจูŠู†ู‡ู…ุŒ ุฅุฐุง the two variables are dependent ุฃูˆ
456
+
457
+ 115
458
+ 00:10:36,970 --> 00:10:43,690
459
+ ุจู†ุณู…ูŠู‡ู… relatedrelate ูŠุนู†ูŠ ู…ุด ููŠ ุงุฑุชุจุงุท ู…ุนู†ุงู‡
460
+
461
+ 116
462
+ 00:10:43,690 --> 00:10:46,870
463
+ there is a relationship between them ุฅุฐุง ุฃู†ุง ุฑุญ
464
+
465
+ 117
466
+ 00:10:46,870 --> 00:10:51,890
467
+ ุฃุนู…ู„ ุจุฏู„ two by two ุงู„ู„ูŠ ุฃุฎุฏู†ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ ู…ุด
468
+
469
+ 118
470
+ 00:10:51,890 --> 00:10:55,890
471
+ ุฃุฎุฏู†ุง two by two ุงู„ุงู† ูƒุจุฑู†ุงู‡ุง ุดูˆูŠุฉ two by three
472
+
473
+ 119
474
+ 00:10:55,890 --> 00:11:01,530
475
+ two by three ุฒูŠ ุงู„ุดุบู„ ุงู„ู…ุนุฑูุงุช ุจุงู„ุธุจุท ุจุณ two by
476
+
477
+ 120
478
+ 00:11:01,530 --> 00:11:04,230
479
+ three ู‡ูŠูƒูˆู† ุนู†ุฏ heavy smokers ูˆ light smokers
480
+
481
+ 121
482
+ 00:11:04,230 --> 00:11:07,850
483
+ ุจูŠูƒูˆู†ุด ุนู†ุฏ moderate ู‡ุฏูˆู„ ุฒูŠ ุงู„ุดุบู„ ุจุชุงุน ุงู„ู…ุนุฑูุงุช
484
+
485
+ 122
486
+ 00:11:07,850 --> 00:11:14,020
487
+ ุจุงู„ุธุจุทุงู„ู„ูŠ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏ ู…ูˆุถูˆุน ุงู„ูŠูˆู… R by C ูŠุนู†ูŠ R
488
+
489
+ 123
490
+ 00:11:14,020 --> 00:11:17,980
491
+ ุฑูˆุฒ C ูƒูˆู„ูˆู…ุฒ ุจู†ุณู…ูŠ ุงู„ test ูƒุงูŠ ุณูƒูˆูŠุฑ test of
492
+
493
+ 124
494
+ 00:11:17,980 --> 00:11:21,420
495
+ independence still will have the same ูƒุงูŠ ุณูƒูˆูŠุฑ
496
+
497
+ 125
498
+ 00:11:21,420 --> 00:11:26,260
499
+ statistic but will have different formula to
500
+
501
+ 126
502
+ 00:11:26,260 --> 00:11:29,860
503
+ compute the expected frequency so again we have
504
+
505
+ 127
506
+ 00:11:29,860 --> 00:11:33,200
507
+ this ูƒุงูŠ ุณูƒูˆูŠุฑ statistic sum F observed minus F
508
+
509
+ 128
510
+ 00:11:33,200 --> 00:11:37,540
511
+ expected squared ุนู„ู‰ ุงู„ F expected ุทุจ ุงู„ degrees
512
+
513
+ 129
514
+ 00:11:37,540 --> 00:11:38,480
515
+ of freedom ู…ุด ู‡ุชุณุงูˆูŠ
516
+
517
+ 130
518
+ 00:11:41,260 --> 00:11:43,740
519
+ ุจู‚ู‰ ุจุงู„ุธุจุท ุฅุฐุง ูƒุงู†ุช ุงู„ู€ two minus one ูƒุงู†ุช two
520
+
521
+ 131
522
+ 00:11:43,740 --> 00:11:47,500
523
+ rows ู„ุฅู†ุตุงุฑ ุฑูˆุฒ R's ุจุงู„ุชุงู„ูŠ ุงู„ degrees of freedom
524
+
525
+ 132
526
+ 00:11:47,500 --> 00:11:53,560
527
+ in this case ู„ู„ุชุงุจู„ ุงู„ู„ูŠ ู‡ู†ุง equals R minus one
528
+
529
+ 133
530
+ 00:11:53,560 --> 00:11:58,440
531
+ this is in general so for the general contingency
532
+
533
+ 134
534
+ 00:11:58,440 --> 00:12:03,520
535
+ table which has R rows and C columns there are R
536
+
537
+ 135
538
+ 00:12:03,520 --> 00:12:07,340
539
+ minus one times C minus one degrees of freedomุนู„ู‰
540
+
541
+ 136
542
+ 00:12:07,340 --> 00:12:12,060
543
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุนู†ุฏู…ุง R ูŠู‚ู„ 2 ูˆC ูŠู‚ู„ 2 ุฅุฐุง ู‚ู…ุช ุจุงู„ุถุบุท
544
+
545
+ 137
546
+ 00:12:12,060 --> 00:12:20,820
547
+ ุนู„ู‰ R2 ูˆC2 2-1ร—2-1 ูˆ2-1ร—2-1 ูˆ1 ูƒู…ุง ูƒุงู†ุช ุงู„ู…ุฑุฉ
548
+
549
+ 138
550
+ 00:12:20,820 --> 00:12:26,800
551
+ ุงู„ุณุงุจู‚ุฉุŒ ู…ุธุจูˆุทุŸ ุฅู„ู‰ ู†ูุณ ุงู„ู€ assumptionุŒ ูƒู„ ุนุถู„ุฉ
552
+
553
+ 139
554
+ 00:12:26,800 --> 00:12:35,870
555
+ ูƒุงู†ุช ุชุชูˆู‚ุน ุนู† ุนุถู„ุฉ ุฃู‚ู„ ู…ู† 1ุŒ ุฅุฐู† ุจุงู„ู†ุณุจุฉ ู„ู€2ร—Cูˆ ุงู„
556
+
557
+ 140
558
+ 00:12:35,870 --> 00:12:40,730
559
+ R by C ู„ุงุฒู… ุงู„ expected frequency ู…ุงู†ูˆ ุนู„ู‰ ุงู„ุฃู‚ู„
560
+
561
+ 141
562
+ 00:12:40,730 --> 00:12:46,870
563
+ ูŠูƒูˆู† ูˆุงุญุฏ ู„ูƒู† ุงู„ two by two ุงู„ expected ูŠูƒูˆู† ..
564
+
565
+ 142
566
+ 00:12:46,870 --> 00:12:50,290
567
+ ุฎู„ุงุต ุจู‚ู‰ ุงู„ expected ู…ุด ุงู„ observe ู…ุด ุงู„ู…ุดุงู‡ุฏ ู…ุด
568
+
569
+ 143
570
+ 00:12:50,290 --> 00:12:52,610
571
+ ููŠ ุงู„ table ุงู„ู„ูŠ ุฃู†ุง ุจุญุณุจู‡ should be at least five
572
+
573
+ 144
574
+ 00:12:52,610 --> 00:12:56,750
575
+ ุฃูˆ at least one
576
+
577
+ 145
578
+ 00:12:56,750 --> 00:13:00,710
579
+ ูƒูŠู ุจุฏูŠ ุฃุญุณุจ ุงู„ expected frequencyุŸ ู‡ูŠ ุงู„ุทุฑูŠู‚ุฉ
580
+
581
+ 146
582
+ 00:13:00,710 --> 00:13:06,150
583
+ ุนู†ุฏูŠ F expectedุจุชุณุงูˆูŠ raw total column total ุนู„ู‰
584
+
585
+ 147
586
+ 00:13:06,150 --> 00:13:10,970
587
+ sample size ูŠุนู†ูŠ ู„ุง ุฃูŠ cell ู…ุด ููŠู‡ raw total ูˆู„ุง
588
+
589
+ 148
590
+ 00:13:10,970 --> 00:13:13,650
591
+ ุฃูŠ cell ููŠู‡ column total ุจุชุทู„ุน ุงู„ expected
592
+
593
+ 149
594
+ 00:13:13,650 --> 00:13:17,250
595
+ frequency ุงู„ู„ูŠ ุจุถุฑุจู‡ู… ููŠ ุจุนุถ ูˆ ุจุฌุณู… ุนู„ู‰ ุงู„ N ูŠุนู†ูŠ
596
+
597
+ 150
598
+ 00:13:17,250 --> 00:13:29,470
599
+ ู„ูˆ ุฑุฌุนุช ู„ู„ู‚ุงุก ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช for this table ู„ูˆ
600
+
601
+ 151
602
+ 00:13:29,470 --> 00:13:36,120
603
+ ุนุงูŠุฒ ุงุทู„ุน ุงู„ expected frequencyู„ุฃูˆู„ cell ู„ู€ first
604
+
605
+ 152
606
+ 00:13:36,120 --> 00:13:41,280
607
+ cell ุนู†ุฏ ุงู„ observed 12 ู…ุด ู‡ูŠูƒุŸ ุฅุฐุง ุงู„ observed
608
+
609
+ 153
610
+ 00:13:41,280 --> 00:13:47,200
611
+ equal 12 ุงู„ expected ุฏูŠ ู„ูŠุด ู…ุชุณุงูˆูŠุŸ ุญุณุจ ุงู„ู‚ุงู†ูˆู† ุงู„
612
+
613
+ 154
614
+ 00:13:47,200 --> 00:13:50,600
615
+ raw total ุงู„ู„ูŠ ููŠู‡ ุงู„ 12 ููŠ ุงู„ column total ุนู„ู‰ ุงู„
616
+
617
+ 155
618
+ 00:13:50,600 --> 00:13:54,200
619
+ total sample size ู‡ุงูŠ ุงู„ 12 ุฅูŠุด ุงู„ raw ุทุจุนู‡ุง
620
+
621
+ 156
622
+ 00:13:54,200 --> 00:14:00,140
623
+ totalุŸ ูˆ ุงู„ columnุŸ ุนู„ู‰ ุงู„ 300 ุฅุฐุง ุตุงุฑ 120
624
+
625
+ 157
626
+ 00:14:05,320 --> 00:14:14,060
627
+ ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ 14.4 ู†ูุณ ุงู„ุฅุฌุงุจุฉ ุจุชุงุนุชู‡ุง ุทูŠุจ
628
+
629
+ 158
630
+ 00:14:14,060 --> 00:14:19,680
631
+ ุงู„ุจุนุฏู‡ุง ุฅูŠุด ู‡ูŠุนู…ู„ู‡ุง ุทู„ุนุช ู‡ุฐู‡ ุงู„ุจุนุฏู‡ุง ูƒูŠู ุจุชุทู„ุน ุงู„
632
+
633
+ 159
634
+ 00:14:19,680 --> 00:14:25,380
635
+ 105 ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ูุงุชุฑ ู†ุงู‚ุต ุงู„ 14 ุจุชุทู„ุน ุงู„ 105
636
+
637
+ 160
638
+ 00:14:25,380 --> 00:14:32,440
639
+ ุฃูˆ 120 264 300 ู‡ูŠุทู„ุน ู†ูุณ ุงู„ุฌูˆุงุจ ุจุณ ุงู„ู„ูŠ ุฑูŠุญ ู…ูŠู†
640
+
641
+ 161
642
+ 00:14:33,800 --> 00:14:36,900
643
+ ุชุฑุงุญุธูˆุง ู…ู† ุจุนุถ ุทุจุนุง ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุตุญ ุฅุฐุง ู‡ุฐู‡ ุบู„ุท
644
+
645
+ 162
646
+ 00:14:36,900 --> 00:14:42,700
647
+ ูู‡ุฐู‡ ุบู„ุท ุงู„ู„ูŠ ู‚ูˆู„ุช ูุงู†ุช ู…ุฎูŠุฑุฉ ุทูŠุจ ุงู„ู„ูŠ ุฃู†ุง ุงุณุชุฎุฏู…ุช
648
+
649
+ 163
650
+ 00:14:42,700 --> 00:14:47,760
651
+ ุงู„ู‚ุงู†ูˆู† ู…ุฑุฉ ูˆุงุญุฏุฉ ู…ุด ู‡ูŠูƒ ุทูŠุจ ุงู„ู„ูŠ ุจุนุฏู‡ุง ูƒูŠู ุฃุทู„ุน
652
+
653
+ 164
654
+ 00:14:47,760 --> 00:14:52,440
655
+ ุญุฏ ุฅูŠู‡ ุฅู…ุง ุจุงู„ู‚ุงู†ูˆู† ู…ูŠุฉ ูˆุชู…ุงู†ูŠู† ุชู„ุงุช ุณุชุฉ ุชู„ุงุชูŠู†
656
+
657
+ 165
658
+ 00:14:52,440 --> 00:14:59,920
659
+ ุชู„ุงุช ู…ูŠุฉ ุงูˆ ุงูˆ ุฅูŠุด ุทุฑูŠู‚ุชูŠู† ุฅู…ุง one eighty minus
660
+
661
+ 166
662
+ 00:14:59,920 --> 00:15:04,100
663
+ one fifty eight point fourุจุทู„ุน ุญุฏู‰ุŒ ุจุณ ู‡ุฐู‡ ู…ุด
664
+
665
+ 167
666
+ 00:15:04,100 --> 00:15:11,440
667
+ ู…ุนู„ูˆู…ุฉุŒ ุจุทู„ุน ู…ู† ู‡ู†ุง ุงู„ูŠูˆู… ุจุทู„ุน ุญุฏู‰ ูƒูŠู ุจุชุทู„ุนุŸ ุณุชุฉ
668
+
669
+ 168
670
+ 00:15:11,440 --> 00:15:14,600
671
+ ูˆ ุชู„ุงุชูŠู† ู†ู‚ุต ุงุฑุจุนุฉ ูˆ ุนุดุฑุŒ ู…ุด ู‡ูŠูƒุŸ ุจุทู„ุน ุงุณู… ูˆุงุญุฏ ูˆ
672
+
673
+ 169
674
+ 00:15:14,600 --> 00:15:19,840
675
+ ุนุดุฑูŠู† ู…ุน ูƒุฏู‡ ุฏู‡ ู„ู…ุง ุทู„ุนุช .. ุทู„ุนุช ู…ู† ุงู„ุฃูˆู„ุงู†ูŠุฉ ุทุจ
676
+
677
+ 170
678
+ 00:15:19,840 --> 00:15:25,540
679
+ ูˆุงู„ู„ูŠ ู‡ู†ุง ุจู„ุฒู… ุฃุทู„ุนู‡ุง ุจุงู„ู‚ุงู†ูˆู† ู‡ูŠ ู…ูŠุฉ ูˆ ุชู…ุงู†ูŠู† ูˆ
680
+
681
+ 171
682
+ 00:15:25,540 --> 00:15:29,300
683
+ ู…ุงุฆุชูŠู† ูˆ ุงุฑุจุนุฉ ูˆ ุณุชูŠู† ุน ุชู„ุงุช ู…ูŠุฉ ุงูˆ ู…ูŠุฉ ูˆ ุชู…ุงู†ูŠู†
684
+
685
+ 172
686
+ 00:15:29,300 --> 00:15:36,080
687
+ ู†ู‚ุต ู‡ุฐู‡ุงูˆ 244-105 ู…ุนู†ุงู‡ ูƒุฏู‡ ูƒู… ู…ุฑุฉ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู†
688
+
689
+ 173
690
+ 00:15:36,080 --> 00:15:41,940
691
+ ุงูˆ
692
+
693
+ 174
694
+ 00:15:41,940 --> 00:15:47,260
695
+ ุงู†ุง ุจุณ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู† ูˆูŠู† ู‡ู… ุทู„ุนุช ู‡ุฐู‡ ุทู„ุนุช ู‡ุฐู‡
696
+
697
+ 175
698
+ 00:15:47,260 --> 00:15:53,300
699
+ ู…ุธุจูˆุท ูˆ ุจุนุฏูŠู† ูƒูŠู ุทู„ุนุช ู‡ุฐู‡ ุจุงู„ู…ูƒู…ู„ุฉ ุงุฐุง ู‡ุฐู‡ ู„ุฃ ุทุจ
700
+
701
+ 176
702
+ 00:15:53,300 --> 00:15:59,160
703
+ ูˆ ู‡ุฐู‡ 120 ู†ุงู‚ุต ูˆ ุงู„ู„ูŠ ุชุญุชู‡ุง ู…ุนู†ุงู‡ ูƒุฏู‡ ู…ุฑุฉ ูˆุงุญุฏุฉุฒูŠ
704
+
705
+ 177
706
+ 00:15:59,160 --> 00:16:02,900
707
+ ู…ุง ุฃู†ุง ูƒุฏู‡ ุงู„ู€ expected frequency ุจูŠุณุงูˆูŠ ุนุฏุฏ ู…ุฑุงุช
708
+
709
+ 178
710
+ 00:16:02,900 --> 00:16:06,880
711
+ ุงุณุชุฎุฏุงู…ู‡ ุจุชุณุงูˆูŠ degrees of freedom ููŠ ุงู„ table ู‡ุฐุง
712
+
713
+ 179
714
+ 00:16:06,880 --> 00:16:13,520
715
+ ูƒุงู†ุช ูˆุงุญุฏ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุงู†ุง ู„ูˆ ุญูƒูŠุชู„ูƒ ููŠ ุงู„ุงู…ุชุญุงู† ู‡ูŠูƒ
716
+
717
+ 180
718
+ 00:16:13,520 --> 00:16:19,800
719
+ ุงู†ุฏูŠุชูƒ ูƒู„ ุงู„ู…ุนู„ูˆู…ุงุช ู‡ุฐู‡ ูˆูƒุงู† ู‡ุฐุง ูƒู„ู‡ ู…ุฌู‡ูˆู„ ุงู„ู‚ูŠู…
720
+
721
+ 181
722
+ 00:16:19,800 --> 00:16:26,140
723
+ ู‡ุฏูˆู„ ู…ุน ูƒุฏู‡ ุงู†ุง ู„ูˆ ุทู„ุนุช ู„ 14 ูˆ 4 ุจุชุทู„ุน ุงู„ุจุงุฌูŠ ุนู„ู‰
724
+
725
+ 182
726
+ 00:16:26,140 --> 00:16:31,650
727
+ ุทูˆู„ ูˆู‡ุฐุง ุจุชุณุงูˆูŠ degrees of freedomุทูŠุจ ู†ุงุฎุฏ ุณุคุงู„
728
+
729
+ 183
730
+ 00:16:31,650 --> 00:16:37,350
731
+ ุฃูƒุจุฑ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ ุทุจุนุง ุฅู† ุงู„ู‚ุตุฉ ู†ูุณ ุงู„ู„ูŠ ูุงุชุช we
732
+
733
+ 184
734
+ 00:16:37,350 --> 00:16:40,170
735
+ reject ุฅุฐุง ูƒุงู†ุช ุงู„ Kยฒ ุงู„ statistic ุฃูƒุจุฑ ู…ู† Kยฒ
736
+
737
+ 185
738
+ 00:16:40,170 --> 00:16:45,450
739
+ Alpha otherwise we don't reject ุงู„ example ุงู„ู„ูŠ
740
+
741
+ 186
742
+ 00:16:45,450 --> 00:16:49,690
743
+ ุจูŠุญูƒูŠ ุงู„ู‚ุงุชู„ the meal plan selected by 200
744
+
745
+ 187
746
+ 00:16:49,690 --> 00:16:54,830
747
+ students shouldn't belong ุจุชุนุฑู ุงู„ุทู„ุจุฉ ุจุฑุง ูŠูƒูˆู†
748
+
749
+ 188
750
+ 00:16:54,830 --> 00:16:59,250
751
+ ุงู„ุทุงู„ุจ ุฃูˆ ุงู„ุทุงู„ุจ ุงู„ุณุงูƒู† ุจุนูŠุฏ ุนู† ุฃู‡ู„ู‡ูŠุนู†ูŠ ุจุนูŠุฏ
752
+
753
+ 189
754
+ 00:16:59,250 --> 00:17:04,030
755
+ ู…ุณุงูุงุช ุจุนูŠุฏุฉ ู…ุด ุนุดุฑุฉ ุฃูˆ ุนุดุฑูŠู† ูƒูŠู„ูˆ ูุงู„ุทุงู„ุจ ุจูŠุฏุฑุณ
756
+
757
+ 190
758
+ 00:17:04,030 --> 00:17:08,030
759
+ ููŠ ุงู„ุฌุงู…ุนุฉ ูˆุจูŠุณูƒู† ุณูƒู† ุฏุงุฎู„ ููŠ ุงู„ุฌุงู…ุนุฉ ูˆููŠ ูƒูุณูŠุฑูŠุง
760
+
761
+ 191
762
+ 00:17:08,030 --> 00:17:12,010
763
+ ููŠ ุงู„ุฌุงู…ุนุฉ ูุจูŠุงูƒู„ ุจุฑุถู‡ ุฏุงุฎู„ ุงู„ุฌุงู…ุนุฉ ูู‡ู… ู‡ู†ุง ุนุงูŠุฒูŠู†
764
+
765
+ 192
766
+ 00:17:12,010 --> 00:17:17,810
767
+ ูŠุนุฑููˆุง ุงู„ meal plan ุนุฏุฏ ูˆุฌูŠุจุงุช ุงู„ุฃูƒู„ ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง
768
+
769
+ 193
770
+ 00:17:17,810 --> 00:17:23,450
771
+ ุงู„ุทุงู„ุจ ููŠ ุงู„ุฃ๏ฟฝ๏ฟฝุจูˆุน ู…ุน ุงู„ class standing ุงู„ู„ูŠ ู‡ูˆ ููŠ
772
+
773
+ 194
774
+ 00:17:23,450 --> 00:17:28,430
775
+ ุฃูŠ ุณู†ุฉูู…ุงุนุทูŠ ุงู„ู€ meal plan selected for 200
776
+
777
+ 195
778
+ 00:17:28,430 --> 00:17:32,570
779
+ students as shown below ูˆู…ุงุนุทูŠ class standing ูู‰
780
+
781
+ 196
782
+ 00:17:32,570 --> 00:17:36,590
783
+ freshmen ุงู„ู„ูŠ ู‡ู… ุงู„ุทู„ุงุจ ุงู„ุฌุฏุฏ ูŠุนู†ูŠ ุฏูˆู„ level one
784
+
785
+ 197
786
+ 00:17:36,590 --> 00:17:43,390
787
+ ุงู„ sophomore ุงู„ู„ูŠ ู‡ู… ุงู„ุณู†ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ junior ุงู„ุณู†ุฉ
788
+
789
+ 198
790
+ 00:17:43,390 --> 00:17:48,490
791
+ ุงู„ุชุงู„ุชุฉ ูˆ ุงู„ senior ุงู„ุณู†ุฉ ุงู„ุฑุงุจุนุฉ ู‡ูŠ ุงู„ุชู‚ุณูŠู…ุฉ ุงู„
792
+
793
+ 199
794
+ 00:17:48,490 --> 00:17:52,390
795
+ freshmenSophomore, Junior and Senior. Number of
796
+
797
+ 200
798
+ 00:17:52,390 --> 00:17:56,350
799
+ meals per week ุงู…ุง twenty per week ุงู„ู„ูŠ ู‡ู… ุจูŠุงุฎุฏูˆุง
800
+
801
+ 201
802
+ 00:17:56,350 --> 00:18:00,850
803
+ ูƒุงู…ู„ุงุชุŒ ู†ูุชุฑุถ ุฃูˆ ุจูŠุงุฎุฏูˆุง ten per week ุฃูˆ ู…ุงุจูŠุงุฎุฏูˆุด
804
+
805
+ 202
806
+ 00:18:00,850 --> 00:18:06,990
807
+ ุฎุงู„ุต ูˆู‡ุฐู‡ ุงู„ุฃุฑู‚ุงู… ู…ูˆุฌูˆุฏูŠู† ูˆุนุฒูŠุฒูŠ ู†ุนุฑู Are number
808
+
809
+ 203
810
+ 00:18:06,990 --> 00:18:12,030
811
+ of meals per week and class standing are
812
+
813
+ 204
814
+ 00:18:12,030 --> 00:18:16,330
815
+ independentุŸ ู‡ู„ ุงู„ุฃุชู†ูŠู† ู‡ุฏูˆู„ุŸindependent ูŠุนู†ูŠ
816
+
817
+ 205
818
+ 00:18:16,330 --> 00:18:19,970
819
+ ู…ุณุชุฎุฏูŠู† ุนู„ู‰ ุจุนุถ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุต ุฅูŠู‡ ุงู„ class
820
+
821
+ 206
822
+ 00:18:19,970 --> 00:18:23,310
823
+ standing ุฅูŠู‡ ู„ูˆ ุงู„ูˆุงุฌุจุงุช ู…ุงุจุชุฎุชู„ูุด ุนู† ุจุนุถู‡ุง ูŠุนู†ูŠ
824
+
825
+ 207
826
+ 00:18:23,310 --> 00:18:26,970
827
+ ุณูˆุงุก ูƒุงู† freshman ุฃูˆ sophomore ุฃูˆ junior ุฃูˆ senior
828
+
829
+ 208
830
+ 00:18:26,970 --> 00:18:32,110
831
+ number of meal plans not related ุฃูˆ related ุนู„ู‰
832
+
833
+ 209
834
+ 00:18:32,110 --> 00:18:35,990
835
+ ุญุณุจ ูุงุญู†ุง ุงู„ two variables ุญูƒูˆู† ุฅูŠุด they are
836
+
837
+ 210
838
+ 00:18:35,990 --> 00:18:40,830
839
+ independent ูŠุนู†ูŠ class standing and number of
840
+
841
+ 211
842
+ 00:18:40,830 --> 00:18:47,040
843
+ meals per week are independentุฅุฐุง ุงู„ู€ null ู‡ุฃูƒุชุจู‡ุง
844
+
845
+ 212
846
+ 00:18:47,040 --> 00:18:50,800
847
+ ูƒุงู„ุบุชุฉ ุทูŠุจ
848
+
849
+ 213
850
+ 00:18:50,800 --> 00:18:56,080
851
+ ุงู„ 24 ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ there are 24 students ุฃูˆ
852
+
853
+ 214
854
+ 00:18:56,080 --> 00:19:01,500
855
+ 24 freshmen students have 20 meals per week
856
+
857
+ 215
858
+ 00:19:01,500 --> 00:19:04,340
859
+ ุจูŠุงุฎุฏูˆุง 24 ูˆุงุฌุจุฉ ููŠ ุงู„ .. ุจูŠุงุฎุฏูˆุง 20 ูˆุงุฌุจุฉ ููŠ ุงู„
860
+
861
+ 216
862
+ 00:19:04,340 --> 00:19:09,240
863
+ .. ููŠ ุงู„ุณุจูˆุน ู…ุซู„ุง ุงู„ 10 ุงู„ู„ูŠ ู‡ู†ุง ุนุณู‰ ุจุงู„ู…ุซุงู„ ู…ุนู†ุงู‡
864
+
865
+ 217
866
+ 00:19:09,240 --> 00:19:14,640
867
+ ููŠ ุนู†ุฏูŠ 10 senior students has none meal ู…ุงุจูŠุงุฎุฏุด
868
+
869
+ 218
870
+ 00:19:14,640 --> 00:19:20,880
871
+ ูˆู„ุง ุญุงุฌุฉุทุจุนุง ุงู„ totals ุฏูˆู„ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ูุงู„
872
+
873
+ 219
874
+ 00:19:20,880 --> 00:19:24,100
875
+ hypothesis to be tested is meal plan and class
876
+
877
+ 220
878
+ 00:19:24,100 --> 00:19:27,420
879
+ standing are independent ู…ุงููŠุด ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุนุฏู„
880
+
881
+ 221
882
+ 00:19:27,420 --> 00:19:31,400
883
+ ูˆุงุฌุจุงุช ูˆู…ุณุชูˆู‰ ุงู„ุทุงู„ุจ ู…ุน ูƒุฏู‡ there is no
884
+
885
+ 222
886
+ 00:19:31,400 --> 00:19:33,860
887
+ relationship between them ุทุจ ู‡ุฐุง ุฅูŠุด ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ
888
+
889
+ 223
890
+ 00:19:33,860 --> 00:19:39,560
891
+ ุฅูŠุด ู…ุนู†ู‰ ู…ุงููŠุด ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู…ุŸ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุต
892
+
893
+ 224
894
+ 00:19:39,560 --> 00:19:42,460
895
+ ูƒุงู† ููŠ ุงู„ุณู†ุฉ ุงู„ุฃูˆู„ู‰ ูˆู„ุง ุชุงู†ูŠุฉ ูˆู„ุง ุชุงู„ุชุฉ ูˆู„ุง ุฑุงุจุนุฉ
896
+
897
+ 225
898
+ 00:19:42,460 --> 00:19:47,810
899
+ ู…ุด ู‡ูŠุณุฑ ุนุฏู„ ูˆุงุฌุจุงุช ุชุจู‚ู‰ู…ุง ู‡ูˆ ุจูŠู‚ุตุฏ ุจุงู„ุณุคุงู„ ู†ุงุญูŠุฉ
900
+
901
+ 226
902
+ 00:19:47,810 --> 00:19:52,310
903
+ ู†ูุณูŠุฉ ุฃูƒุชุฑ ู…ู†ู‡ุง ุฃูˆ ู†ุงุญูŠุฉ ุณู„ูˆูƒูŠุฉ ูŠุนู†ูŠ ู‡ู„ ุงู„ุทุงู„ุจ ุงู„
904
+
905
+ 227
906
+ 00:19:52,310 --> 00:19:56,350
907
+ freshman ุจูŠู…ูŠู„ ุฃู†ู‡ ูŠุงุฎุฏ ูˆุฌุจุงุชู‡ ููŠ ุงู„ cafeteria
908
+
909
+ 228
910
+ 00:19:56,350 --> 00:20:00,630
911
+ ุงู„ุฌุงู…ุนุฉ ุฃูƒุชุฑ ู…ู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุจูŠูƒูˆู† ููŠ ู…ุณุชูˆู‰ ุฑุงุจุน
912
+
913
+ 229
914
+ 00:20:00,630 --> 00:20:04,110
915
+ ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ููŠ ู…ุณุชูˆู‰ ุฑุงุจุน ุงู„ุทุงู„ุจ ุจูŠูƒูˆู† ูŠุนู†ูŠ ุนู†ุฏู‡
916
+
917
+ 230
918
+ 00:20:04,110 --> 00:20:08,650
919
+ ุฎุจุฑุฉ ูƒุงููŠุฉ ุนุงุฑู ุงู„ู…ู†ุทู‚ุฉ ูƒูˆูŠุณ ุจูŠุทู„ู‚ ูˆูŠู†ุฒู„ ูู…ู…ูƒู† ุนุฏุฏ
920
+
921
+ 231
922
+ 00:20:08,650 --> 00:20:13,590
923
+ ูˆุฌุจุงุชู‡ ุชู‚ู„ูู‡ูˆ ุจูŠุณุฃู„ ุงู„ุณุคุงู„ ู‡ุฐุง ู‡ู„ ุงู„ุทุงู„ุจ ุงู„ .. ุงู„
924
+
925
+ 232
926
+ 00:20:13,590 --> 00:20:17,270
927
+ .. ุงู„ freshman ุจูŠุฎุชู„ู ูˆ ู„ุง ุงู„ุฃุซู†ูŠู† ููŠ ุงู„ุดุฑุชุจุงุช ุฃูŠ
928
+
929
+ 233
930
+ 00:20:17,270 --> 00:20:21,690
931
+ ูƒุงู† ุงู„ุทุงู„ุจ freshman ูˆ ู„ุง senior ู…ู…ูƒู† ูŠุทู„ุน ุจุฑุง ุฒูŠ ูˆ
932
+
933
+ 234
934
+ 00:20:21,690 --> 00:20:25,570
935
+ ุฒูŠ ุงู„ senior ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ุงู„ุฌุฏูŠุฏ ู…ู…ูƒู† ูŠุทู„ุน
936
+
937
+ 235
938
+ 00:20:25,570 --> 00:20:28,950
939
+ ุจุฑุง ุฒูŠ ูˆ ุฒูŠ ุงู„ senior ุทุจุนุง ุงู„ result ุจุชูƒูˆู† ู…ู‡ู…ุฉ
940
+
941
+ 236
942
+ 00:20:28,950 --> 00:20:33,330
943
+ ุฌุฏุง ุจุงู„ุฐุงุช ู„ุชุจุงู†ุน ุงู„ุนู„ู… ุงู„ู†ูุณูŠ ูŠุนู†ูŠ ู‡ู„ ุงู„ุทุงู„ุจ
944
+
945
+ 237
946
+ 00:20:33,330 --> 00:20:38,090
947
+ ู…ุชุฃุซุฑ ู„ุณู‡ ุฌุฏูŠุฏ ูˆ ู„ุง ู…ุด ูุงุฑู‚ ู…ุนุงู‡ ุฒูŠ ูˆ ุฒูŠ ุงู„ู‚ุฏูŠู…ุŸ
948
+
949
+ 238
950
+ 00:20:38,090 --> 00:20:43,190
951
+ ู‡ู†ุดูˆู ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ูŠุทู„ุน ูˆ ุจู†ุงุก ุนู„ูŠู‡ ุจู†ู‚ุฑุฑุงู„ุชุฑู†ูŠุฉ
952
+
953
+ 239
954
+ 00:20:43,190 --> 00:20:46,490
955
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ ู…ูŠู„ูŠ ุจู„ุงู† ูˆ class standings ู…ุณุชู‚ู„ูŠู† ู…ุน
956
+
957
+ 240
958
+ 00:20:46,490 --> 00:20:52,570
959
+ ูƒุฏู‡ ู‡ู†ุงูƒ ุนู„ุงู‚ุงุช ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ุณุจุจุฒ ู…ุซู„ุง ุณุจุจุฒ ูŠู†ุฌุญ
960
+
961
+ 241
962
+ 00:20:52,570 --> 00:20:59,730
963
+ ู…ู† ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ ู„ูˆ ุญูƒูŠู†ุง reject ุงุชุฒูŠุฑูˆ ุงูŠุด ู…ุนู†ุงู‡ุŸ
964
+
965
+ 242
966
+ 00:20:59,730 --> 00:21:02,450
967
+ ู…ุนู†ุงู‡ ููŠ ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ูˆุงุฌุจุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ุงู„ุทุงู„ุจ
968
+
969
+ 243
970
+ 00:21:02,450 --> 00:21:08,030
971
+ ูˆ ุงู„ู…ุณุชูˆู‰ ุชุจุนู‡ ุทุจ ู‡ุฐุง ู…ุนู†ุงู‡ ุงูŠุดุŸุฅู†ู‡ ููŠ ุงุฎุชู„ุงู ููŠ
972
+
973
+ 244
974
+ 00:21:08,030 --> 00:21:12,150
975
+ ู†ุณุจ ุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ุจูŠุงุฎุฏูˆุง ุงู„ูˆุฌุจุงุช ุญุณุจ ู…ูŠู† ุงู„ู…ุณุชูˆู‰
976
+
977
+ 245
978
+ 00:21:12,150 --> 00:21:18,270
979
+ ุชุจุนู‡ู… ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ุณุชูˆู‰ ุงู„ุทุงู„ุจ ููŠ ุงู„ุฌุงู…ุนุฉ ุจูŠุฃุซุฑ
980
+
981
+ 246
982
+ 00:21:18,270 --> 00:21:21,690
983
+ ุนู„ู‰ ุนุฏุฏ ุงู„ูˆุฌุจุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ูู…ู…ูƒู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ููŠ
984
+
985
+ 247
986
+ 00:21:21,690 --> 00:21:25,110
987
+ ุงู„ senior ูŠุงุฎุฏ ุนุฏุฏ ุงู„ูˆุฌุจุงุช ู…ุฎุชู„ู ุนู† ุงู„ freshman
988
+
989
+ 248
990
+ 00:21:25,110 --> 00:21:29,050
991
+ ุชุจู‚ู‰ ูƒุฏู‡ ู„ูˆ ุชู… reject ุงู„ null hypothesis ู…ุน ูƒุฏู‡
992
+
993
+ 249
994
+ 00:21:29,050 --> 00:21:32,350
995
+ ุงู„ุทู„ุงุจ ู‡ุฏูˆู„ ุงู„ุฌุฏุฏ ุนู†ุฏู‡ู…
996
+
997
+ 250
998
+ 00:21:34,160 --> 00:21:40,640
999
+ ูŠุนู†ูŠ more freedom ุงูƒุชุฑ ูˆู„ุง ู„ุณู‡ ู…ุงุฒุงู„ูˆุง ู…ุชู‚ูˆู‚ุนูŠู†ุŸ
1000
+
1001
+ 251
1002
+ 00:21:40,640 --> 00:21:44,440
1003
+ ู„ูˆ ุชู… ..ุงู†ุชูˆุง ู…ุด ููŠู„ู… ู…ุด ุจุญูƒูŠ ุฎุงู„ุต ูˆู„ุง ููŠู„ู… ..ู…ุด
1004
+
1005
+ 252
1006
+ 00:21:44,440 --> 00:21:46,860
1007
+ ุจู‚ู‰ ..ุงู†ุชูˆุง ู…ุด ..ุงู†ุชูˆุง ู…ุด ..ุงู†ุชูˆุง ู…ุตูŠุฑูˆู†ูŠ ุญู„ ุงู„ุญุตุฉ
1008
+
1009
+ 253
1010
+ 00:21:46,860 --> 00:21:50,120
1011
+ ูˆ ุจุณ ุงู†ุง ุจุญูƒูŠ ู„ูˆ ุชู… rejected none of the bosses ู…ุน
1012
+
1013
+ 254
1014
+ 00:21:50,120 --> 00:21:53,520
1015
+ ูƒุฏู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ุนุงุฏู„ ุงู„ุฅุฌุงุจุงุช ูŠุนุชู…ุฏ ุนู„ู‰
1016
+
1017
+ 255
1018
+ 00:21:53,520 --> 00:21:58,720
1019
+ ุงู„ุดุฎุต ุงู„ุฌุฏูŠุฏ ูˆู„ุง ุงู„ู„ูŠ ุนุงุฏู„ ุจูŠูƒูˆู†
1020
+
1021
+ 256
1022
+ 00:21:58,720 --> 00:22:03,040
1023
+ ุจูŠุฎุชู„ู ู…ุนู†ุงู‡ ูƒุฏู‡ ุงุฎุชู„ู ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ุทุงู„ุจ ุงู„ุฌุฏูŠุฏู„ุณู‡
1024
+
1025
+ 257
1026
+ 00:22:03,040 --> 00:22:06,460
1027
+ ู…ุด ู…ุชุนูˆุฏ ุนู„ู‰ ูˆุถุน ุงู„ุจู„ุฏ ูุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ูŠุงุฎุฏูˆุง ูˆุฌุจุงุช
1028
+
1029
+ 258
1030
+ 00:22:06,460 --> 00:22:11,780
1031
+ ุฃูƒุชุฑ ุฃูˆ ุฃู‚ู„ ุนู„ู‰ ุญุณุจ ู„ูˆ ุชู… we don't reject ู…ุน ูƒุฏู‡
1032
+
1033
+ 259
1034
+ 00:22:11,780 --> 00:22:14,540
1035
+ the two variables are independent ู…ุงููŠุด ุนู„ุงู‚ุฉ
1036
+
1037
+ 260
1038
+ 00:22:14,540 --> 00:22:17,620
1039
+ ุจูŠู†ู‡ู… ุจุตุฑู ุงู„ู†ุธุฑ ุทุงู„ุจ ุฌุฏูŠุฏ ูˆ ู„ุง ู…ุด ุฌุฏูŠุฏ ู‡ูˆ ุจูŠุทู„ุน
1040
+
1041
+ 261
1042
+ 00:22:17,620 --> 00:22:24,610
1043
+ ุฒูŠู‡ ุฒูŠ ุบูŠุฑู‡ ูˆุงุถุญุŸ ูู‡ู…ุชู‡ ุงู„ุฌุซุฉุŸ ุฎู„ูŠูƒ ุฃู‡ู„ ุงู„ุญุตุฉู‡ุฐู‡
1044
+
1045
+ 262
1046
+ 00:22:24,610 --> 00:22:27,810
1047
+ ุงู„ู…ู‚ุงู„ุฉ ู†ุณู…ูŠู‡ุง observed ู‡ุคู„ุงุก ุงู„ู„ูŠ ุงู†ุง ุทู„ุนุชู‡ู… ู…ู†
1048
+
1049
+ 263
1050
+ 00:22:27,810 --> 00:22:31,270
1051
+ ุงู„ data ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุด ู‡ูŠูƒ ู‡ุคู„ุงุก observed ุจูŠุทู„ุน ุงู„
1052
+
1053
+ 264
1054
+ 00:22:31,270 --> 00:22:36,290
1055
+ expected cell frequency if H0 is true ุงุฐุง ูƒุงู†ูˆุง
1056
+
1057
+ 265
1058
+ 00:22:36,290 --> 00:22:37,230
1059
+ ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง
1060
+
1061
+ 266
1062
+ 00:22:37,230 --> 00:22:38,650
1063
+ ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู†
1064
+
1065
+ 267
1066
+ 00:22:38,650 --> 00:22:39,510
1067
+ ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง
1068
+
1069
+ 268
1070
+ 00:22:39,510 --> 00:22:40,190
1071
+ ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู†
1072
+
1073
+ 269
1074
+ 00:22:40,190 --> 00:22:40,650
1075
+ ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง
1076
+
1077
+ 270
1078
+ 00:22:40,650 --> 00:22:50,170
1079
+ ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุง
1080
+
1081
+ 271
1082
+ 00:22:53,930 --> 00:22:59,390
1083
+ ูู„ูˆ ุจุทู„ุน ู…ุซู„ุง ู„ู„ .. ู„ู„ junior ู‡ุฐู‡ ุงู„ุนุดุฑุฉ ู‡ุฐู‡
1084
+
1085
+ 272
1086
+ 00:22:59,390 --> 00:23:03,430
1087
+ ุงู„ุนุดุฑุฉ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ expected ู…ุธุจูˆุท for example
1088
+
1089
+ 273
1090
+ 00:23:03,430 --> 00:23:08,070
1091
+ ุฃู†ุง ู„ุงุฒู… ุฃุทู„ุนู‡ู… ู„ู„ูƒู„ ู„ูˆ ุจุทู„ุน ุงู„ุนุดุฑุฉ ุฅูŠุด ุงู„
1092
+
1093
+ 274
1094
+ 00:23:08,070 --> 00:23:15,770
1095
+ expected ู‡ุชุณุงูˆูŠุŸ ู‡ุช observe ุจุณ ูƒู„ ุจุทู„ุน ุนู„ูŠู‡ ุงู„ raw
1096
+
1097
+ 275
1098
+ 00:23:15,770 --> 00:23:22,010
1099
+ total ููŠ ุงู„ column total ุนู„ู‰ 200 ุฅุฐุง 30 ููŠ 70 ุนู„ู‰
1100
+
1101
+ 276
1102
+ 00:23:22,010 --> 00:23:22,270
1103
+ 200
1104
+
1105
+ 277
1106
+ 00:23:28,420 --> 00:23:34,840
1107
+ ุจุทู„ุน 10.5 ู‡ุฐู‡ ุงู„ู€ expected frequency ุจุณ I just
1108
+
1109
+ 278
1110
+ 00:23:34,840 --> 00:23:39,540
1111
+ choose one cell similarly for the other cells ูŠุนู†ูŠ
1112
+
1113
+ 279
1114
+ 00:23:39,540 --> 00:23:43,460
1115
+ for example to compute the expected frequency for
1116
+
1117
+ 280
1118
+ 00:23:43,460 --> 00:23:50,460
1119
+ 24 ู‡ุฐู‡ ุงู„ุฃูˆู„ ูˆุงุญุฏุฉ 24 ุงู„ expectation ุจุชุงุนู‡ุง ุงูŠุด
1120
+
1121
+ 281
1122
+ 00:23:50,460 --> 00:24:00,160
1123
+ ุจุณูˆูŠ ุงู„ raw 70 ุงู„ column ุฒูŠู‡200 ุฃูƒูŠุฏ ุงู„ุฌูˆุงุจ ู„ูˆ
1124
+
1125
+ 282
1126
+ 00:24:00,160 --> 00:24:07,360
1127
+ ุญุณุจุชู‡ 24.5 ุฃูƒุฏ
1128
+
1129
+ 283
1130
+ 00:24:07,360 --> 00:24:10,600
1131
+ ู…ุฑุฉ ู‡ุณุชุฎุฏู… ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ total, rototal,
1132
+
1133
+ 284
1134
+ 00:24:10,720 --> 00:24:16,520
1135
+ column total ุนู„ู‰ ุงู„ูƒู„ ู„ุญุธุฉุŒ ุนุฏุฏ ุงู„ cells column 12
1136
+
1137
+ 285
1138
+ 00:24:16,520 --> 00:24:23,120
1139
+ ู„ูƒู† ู‡ู„ ู‡ุชุทู„ุน ู„ู„ู€ 12 ููŠ ุงู„ู‚ุงู†ูˆู†ุŸ ุญูƒูŠู†ุง ููŠ ุงู„ุฃูˆู„ ุนุฏุฏ
1140
+
1141
+ 286
1142
+ 00:24:23,120 --> 00:24:26,500
1143
+ ู…ุฑุงุช ุงุณุชุฎุฏุงู…ูƒ ู„ู„ู‚ุงู†ูˆู† ุจุงู„ุณูˆุก degrees of freedom ุฑ
1144
+
1145
+ 287
1146
+ 00:24:26,500 --> 00:24:40,740
1147
+ minus oneุงู„ู€ R-1 ุงู„ู€ R4 ู…ุด ุจุทู„ุน ู„ูƒู† ุณุช ู…ุฑุงุช ูŠุนู†ูŠ
1148
+
1149
+ 288
1150
+ 00:24:40,740 --> 00:24:46,220
1151
+ ุฃู†ุง ู„ูˆ ุทู„ุนุช ุจุนู„ู…ูƒ ุนู„ู‰ ุงู„ู„ูŠ ู‡ุทู„ุญู‡ ุทู„ุนุช ุงู„ู€ 24.5
1152
+
1153
+ 289
1154
+ 00:24:46,220 --> 00:24:53,080
1155
+ ุทู„ุนุช ุงู„ู€ 30.8 ุงู„ู€
1156
+
1157
+ 290
1158
+ 00:24:53,080 --> 00:24:58,790
1159
+ 14 ูƒู… ู…ู…ูƒู† ุฃุทู„ุญู‡ุง ุฅู…ุง ุจุงู„ู‚ุงู†ูˆู† ุฃูˆุงู„ุณุจุนูŠู† ู†ู‚ุต
1160
+
1161
+ 291
1162
+ 00:24:58,790 --> 00:25:03,490
1163
+ ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ู…ุน ูƒุฏู‡ ู…ุด ู‡ุชุณุชุฎุฏู… ุงู„ู‚ุงู†ูˆู† ู‡ู†ุง ู‡ุฐู‡
1164
+
1165
+ 292
1166
+ 00:25:03,490 --> 00:25:09,350
1167
+ ู…ุฑุชูŠู† ุงู„ู„ูŠ ุจุนุฏู‡ ู„ุณู‡ ู„ุงุฒู… ุฃุทู„ุน ู‡ุฐู‡ ู‡ุฐู‡ ู‡ุชุทู„ุน ูˆู‡ุฐู‡
1168
+
1169
+ 293
1170
+ 00:25:09,350 --> 00:25:16,890
1171
+ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆู‡ุฐู‡ ู…ุงู„ู‡ุง ู†ุทุฑุญู‡ุง ู‡ุฐู‡ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆู‡ุฐู‡
1172
+
1173
+ 294
1174
+ 00:25:16,890 --> 00:25:24,650
1175
+ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆู‡ุฐู‡ ุจุงุทุฑุญู‡ุงุŒ ู…ุธุจูˆุทุŸ ุทุจ ุงู„ู„ูŠ ุชุญุช ู‡ุฐู‡
1176
+
1177
+ 295
1178
+ 00:25:24,650 --> 00:25:32,490
1179
+ ุงู„ุณุจุนูŠู† ู†ู‚ุต ู…ุฌู…ูˆุนุฉ ู‡ุฏูˆู„ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุฑู‚ู… ุงู„ 14
1180
+
1181
+ 296
1182
+ 00:25:32,490 --> 00:25:43,850
1183
+ ุงูŠุด ุจุชุณุงูˆูŠ ุงู„ 14 ุจุชุณุงูˆูŠ 70 ู†ุงู‚ุต 24.5 plus 20 plus
1184
+
1185
+ 297
1186
+ 00:25:43,850 --> 00:25:52,350
1187
+ 10.5 ุฃูƒูŠุฏ ู„ูˆ ุฌู…ุนุชู‡ู… 56
1188
+
1189
+ 298
1190
+ 00:25:52,350 --> 00:25:53,490
1191
+ ุจุทู„ุน 14
1192
+
1193
+ 299
1194
+ 00:25:56,380 --> 00:26:01,220
1195
+ ุจุงู„ุชุงู„ูŠ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐูŠ ุทู„ุนุช ุงู„ 14 ุนุฑูุช ูƒูŠู
1196
+
1197
+ 300
1198
+ 00:26:01,220 --> 00:26:08,920
1199
+ ู‡ุทู„ุญู‡ุง ูˆ ุงู„ 17.8 ู†ูุณ ุงู„ุดูŠุก 8 ูˆ 8 ู†ู‚ุต ู…ุฌู…ูˆุญ ู‡ุฐูˆู„
1200
+
1201
+ 301
1202
+ 00:26:08,920 --> 00:26:16,580
1203
+ ู‡ุทู„ุญ ู‡ุฐูŠ ุทุจ ูˆ ุงู„ 8 ูˆ 4 ุนู†ุฏ ุทุฑูŠู‚ุชูŠู† ุงู…ุง 40 ู†ู‚ุต ู‡ุฐูˆู„
1204
+
1205
+ 302
1206
+ 00:26:16,580 --> 00:26:23,160
1207
+ 40 ู†ู‚ุต ู‡ู†ุง ุทุจุนุง 8 ูˆ 4 ุงูˆ 42 ู†ู‚ุต ู‡ู†ุงู…ุน ูƒุฏู‡ ูƒู… ู…ุฑุฉ
1208
+
1209
+ 303
1210
+ 00:26:23,160 --> 00:26:27,020
1211
+ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู†ุŸ ุณุช ู…ุฑุงุช ุงุฐุง degrees of freedom
1212
+
1213
+ 304
1214
+ 00:26:27,020 --> 00:26:35,020
1215
+ ุจูŠุณุงูˆูŠ number of using the formula ู†ุนู… ุงู„ู„ูŠ
1216
+
1217
+ 305
1218
+ 00:26:35,020 --> 00:26:42,740
1219
+ ู‡ู†ุง ู‡ุฐู‡ ุตุญูŠุญ
1220
+
1221
+ 306
1222
+ 00:26:42,740 --> 00:26:48,800
1223
+ ุจุณ ู‡ูˆ ูŠู„ุงุฒู… ุงู„ 14 ุฌู…ุน ุนุฑูู‡ ุจู‚ู‰ ุดูˆู .. ุฎู„ูŠู†ูŠ ุฃูู‡ู…
1224
+
1225
+ 307
1226
+ 00:26:48,800 --> 00:26:55,790
1227
+ degrees of freedomู„ู…ุง ูŠูƒูˆู† ุนู†ุฏู‰ R ุฑูˆ ุฃูƒู…
1228
+
1229
+ 308
1230
+ 00:26:55,790 --> 00:26:59,110
1231
+ ู…ุฑุฉ ุงู†ุช ุจุชูƒูˆู† ุญุฑ ุงุนุทูŠ ู‚ูŠู… ุฒู‰ ู…ุง ุงู†ุช ุนุงูŠุฒ ู…ุด ูƒู„ู‡ู…
1232
+
1233
+ 309
1234
+ 00:26:59,110 --> 00:27:05,070
1235
+ ุงู†ุง ุญุฑ ูู‰ R ู†ู‚ุต ูˆุงุญุฏ ู…ุธุจูˆุท ู„ู…ุง ูŠูƒูˆู† ุฃุฑุจุนุฉ ู‡ุฏูˆู„ ุฎุฏ
1236
+
1237
+ 310
1238
+ 00:27:05,070 --> 00:27:10,270
1239
+ ุฃูŠ ู‚ูŠู… ุจุณ ุงู„ุฃุฎูŠุฑุฉ ู…ุงู„ู‡ุง restricted ู„ู„ุณุจุนูŠู† ุฅู„ู‰ ู„ูˆ
1240
+
1241
+ 311
1242
+ 00:27:10,270 --> 00:27:14,450
1243
+ ุญูƒูŠุชู„ูƒ ูู‰ ุนู†ุฏู‰ ุฃุฑุจุน ุฃุฑู‚ุงู… ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุณุจุนูŠู† ู…ุน ูƒุฏู‡
1244
+
1245
+ 312
1246
+ 00:27:14,450 --> 00:27:20,850
1247
+ ุงู†ุง ุญุฑ ุงุฎุชุงุฑ ุฃูŠ ุชู„ุงุชุฉ ุฃุฑู‚ุงู… ุจุณ ุงู„ุฑุงุจุน ู…ุงู„ู‡ู…ู‚ูŠุฏ ุงู†
1248
+
1249
+ 313
1250
+ 00:27:20,850 --> 00:27:27,190
1251
+ ุงู†ุง ุงู„ู„ูŠ ุญูƒูŠุชู„ูƒ you have four choices to get
1252
+
1253
+ 314
1254
+ 00:27:27,190 --> 00:27:31,570
1255
+ seventy in this case you are free to select any ูƒู…
1256
+
1257
+ 315
1258
+ 00:27:31,570 --> 00:27:35,450
1259
+ ูˆุงุญุฏ ู…ู†ู‡ู… ุงูˆ ุงูŠ ุชู„ุงุชุฉ ุงูˆ any three of them ู…ู…ูƒู†
1260
+
1261
+ 316
1262
+ 00:27:35,450 --> 00:27:39,750
1263
+ ุงุฎุฏ ุงูŠ ู‚ูŠู… ู…ุด ู‡ูŠูƒ ู…ู…ูƒู† ุงุฎุฏ ุนุดุฑูŠู† ู…ู…ูƒู† ุงุฎุฏ ุฎู…ุณ ุนุดุฑ
1264
+
1265
+ 317
1266
+ 00:27:39,750 --> 00:27:45,380
1267
+ ู…ู…ูƒู† ุงุฎุฏ ุทู…ู†ุช ุนุดุฑ ุจุณ ุงู„ุฃุฎูŠุฑุฉ restrictedthe sum
1268
+
1269
+ 318
1270
+ 00:27:45,380 --> 00:27:48,100
1271
+ should be seventy ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ degrees of freedom
1272
+
1273
+ 319
1274
+ 00:27:48,100 --> 00:27:53,980
1275
+ ู‡ู… ุฃุฑุจุนุฉ ู…ุธุจูˆุท ุฅุฐุง ุฃู†ุช ุญุฑุง ูƒู… ู…ุฑุฉ ุชู„ุช ู…ุฑุฉ ุงู„ู„ูŠ R
1276
+
1277
+ 320
1278
+ 00:27:53,980 --> 00:27:58,320
1279
+ ู†ุงู‚ุต ูˆุงุญุฏ ุงู„ู„ูŠ ุฃุฑุจุนุฉ ู†ุงู‚ุต ูˆุงุญุฏ ุงู„ู„ูŠ ุชู„ุช ูุฎู„ุต ุฎู…ุณุฉ
1280
+
1281
+ 321
1282
+ 00:27:58,320 --> 00:28:03,360
1283
+ ูˆ ุชู„ุชูŠู† ุชู„ุชุฉ ูˆ ุฎู…ุณูŠู† ู‡ุฐุง ุณุจุนุชุงุด ุฅุฌุจุงุฑูŠ you have to
1284
+
1285
+ 322
1286
+ 00:28:03,360 --> 00:28:08,300
1287
+ have seventeen ู„ูƒู† ุญุฑ ู‚ุฏุงุด ุงู„ุชู„ุชุฉ ุงู„ุฃูˆู„ู‰ ู†ูุณ ุงู„ุดูŠุก
1288
+
1289
+ 323
1290
+ 00:28:08,300 --> 00:28:11,160
1291
+ ุจุงู„ู†ุณุจุงู„ูŠ ุงู„ column ู„ู…ุง ูƒู†ุช ุฏูŠ C column ุฒูŠ ู‡ูŠูƒ
1292
+
1293
+ 324
1294
+ 00:28:11,780 --> 00:28:15,660
1295
+ ู…ุฌู…ูˆุนู‡ู… 42 ุงู†ุชุญุงุฑ ููŠ ุฃูŠ ุชู„ุงุช ู‚ูŠู… ุจุณ ุงู„ุฑุงุจุน ู…ุงู„ู‡ุง
1296
+
1297
+ 325
1298
+ 00:28:15,660 --> 00:28:21,600
1299
+ ุฅุฌุจุงุฑูŠ ูุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ C-1 ุนุดุงู† ูƒุฏู‡ ุงู„ู€ use of
1300
+
1301
+ 326
1302
+ 00:28:21,600 --> 00:28:27,780
1303
+ freedom R-1 times C-1 make senseุŸ ุทูŠุจ ุงู„ู„ูŠ ู„ุงู†
1304
+
1305
+ 327
1306
+ 00:28:27,780 --> 00:28:33,360
1307
+ ุทู„ุนุชู‡ุง ุฏูˆู„ ุทุจุนุง ูˆุงุถุญ ุฃู†ู‡ุง ุจุชุงุฎุฏ ูˆู‚ุช ููŠ ุงู„ .. ููŠ ุงู„
1308
+
1309
+ 328
1310
+ 00:28:33,360 --> 00:28:36,960
1311
+ computations ุฃู†ุง ููŠ ุงู„ุงู†ุชุญุงุฑ ุจุนุทูŠูƒูŠ ุดุบู„ ุฃุจุณุท ู…ู†
1312
+
1313
+ 329
1314
+ 00:28:36,960 --> 00:28:37,180
1315
+ ู‡ูŠูƒ
1316
+
1317
+ 330
1318
+ 00:28:39,980 --> 00:28:44,000
1319
+ ูŠุนู†ูŠ ู…ุซู„ุง ุจุนุทูŠูƒ ุงู„ frequency expected frequency
1320
+
1321
+ 331
1322
+ 00:28:44,000 --> 00:28:50,520
1323
+ ู…ุนู„ูˆู… ุฃุบู„ุจู‡ ูˆ ุจุทู„ุจ ุฃู†ูƒ ุชุญุณุจ ู…ุซู„ุง ุงุชู†ูŠู† ู…ู†ู‡ู… ู…ุซู„ุง
1324
+
1325
+ 332
1326
+ 00:28:50,520 --> 00:28:57,200
1327
+ ุฃุบู„ุจู‡ ู…ุนู„ูˆู… ูˆ ุงุญุณุจ ุงุชู†ูŠู† ู…ู†ู‡ู… ูˆ ุงู„ุจุงู‚ู‰ ุฎู„ุงุต ูŠุนู†ูŠ
1328
+
1329
+ 333
1330
+ 00:28:57,200 --> 00:29:00,820
1331
+ ุงู…ุง ุจุนุทูŠูƒ ุงูŠุงู‡ู… ูŠุนู†ูŠ ุงูุถู„ ุงุนุทุงูƒ ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„
1332
+
1333
+ 334
1334
+ 00:29:00,820 --> 00:29:05,880
1335
+ ุชุญุณุจูŠู‡ู… ูˆ ู…ุนุทู‰ ู…ุนุงูƒ ุญุงุฌุฉ ุฒูŠ ูƒุฏู‡ ูƒู…ุงู† ุงุชู†ูŠู†
1336
+
1337
+ 335
1338
+ 00:29:09,410 --> 00:29:14,010
1339
+ ุฃูŠู‡ ุจุชุนุฑูุด ุชุฌู…ุน ุงู„ totalุŸ ุชุฌู…ุน ุงู„ 24 ุชุฌู…ุน ุงู„ 32 ูˆ
1340
+
1341
+ 336
1342
+ 00:29:14,010 --> 00:29:19,350
1343
+ ุงู„ 14 ุชุฌู…ุน ุงู„ 70 ุจู†ูุน
1344
+
1345
+ 337
1346
+ 00:29:19,350 --> 00:29:24,130
1347
+ ุฃุนุทูŠูƒ ุงู„ totalุŸ ุทูŠุจ ุฃุนุทูŠุชูƒ ุจุนุถ ุงู„ู‚ูŠุงู… ุฒูŠ ู‡ูŠูƒ ูˆ
1348
+
1349
+ 338
1350
+ 00:29:24,130 --> 00:29:27,350
1351
+ ุฃุญูƒูŠู„ูƒ ูƒุงู…ู„ุฉ ู‡ุชุนุฑู ุชูƒู…ู„ูŠู‡ู… ู…ุด ู‡ูŠูƒุŸ ู„ุฅู† ุฃู†ุง ู„ูˆ
1352
+
1353
+ 339
1354
+ 00:29:27,350 --> 00:29:31,790
1355
+ ุฃุนุฑูุช ู„ูˆ ู‡ุฐู‡ ู…ุนู„ูˆู…ุฉ ูˆ ู‡ุฐู‡ ู…ุนู„ูˆู…ุฉ ูˆ ู‡ุฐู‡ ุฃู†ุง ุญุณุจุชู‡ุง
1356
+
1357
+ 340
1358
+ 00:29:31,790 --> 00:29:36,910
1359
+ ุจู‚ุฏุฑ ุฃุทู„ู„ูŠ ู„ุชุญุช ูˆ ู‡ูƒุฐุง ูŠุนู†ูŠ ุฃุนุทูŠูƒ ู…ุนู„ูˆู…ุงุช ูƒุงูุฉ
1360
+
1361
+ 341
1362
+ 00:29:36,910 --> 00:29:46,520
1363
+ ุชุญู„ูŠ ุงู„ู…ุซู„ูˆุชุญุณุจ ุจุงู„ุญุฏ ุงู„ุฃุฏู†ู‰ ุฃูˆ
1364
+
1365
+ 342
1366
+ 00:29:46,520 --> 00:29:52,400
1367
+ ุฃุญูŠุงู†ู‹ุง ู…ู…ูƒู† ุฃุฑูŠุญูƒ ุฃุนุทูŠูƒ ูŠูˆู… ูƒู„ู‡ู… ุฃูˆ
1368
+
1369
+ 343
1370
+ 00:29:52,400 --> 00:29:54,640
1371
+ ุฎู„ูŠูƒ ุชุญุณุจ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ู„ูŠ ู‡ูŠ ุจุชุทู„ุน ุงู„ case score
1372
+
1373
+ 344
1374
+ 00:29:54,640 --> 00:30:01,280
1375
+ ุงู„ statistic ุงู„ู‚ุงู†ูˆู† ู‡ูŠ ุงู„ summation ุงู„
1376
+
1377
+ 345
1378
+ 00:30:01,280 --> 00:30:06,360
1379
+ observed ู‡ูˆ 84 ุฃูˆู„ ูˆุงุญุฏุฉู‡ุงูŠ sum observed minus
1380
+
1381
+ 346
1382
+ 00:30:06,360 --> 00:30:11,480
1383
+ expected unexpected ู‡ุฐูŠ ุงู„ all cells ู„ูƒู„ ุงู„ cells
1384
+
1385
+ 347
1386
+ 00:30:11,480 --> 00:30:20,060
1387
+ ูุจุงุฎุฏ cell by cell number one is 24 minus ุจุฑุฌุน ุงู„
1388
+
1389
+ 348
1390
+ 00:30:20,060 --> 00:30:25,400
1391
+ expected ุฃู†ุง ุญุณุจุชู‡ ุทุจุนุง matching first cell versus
1392
+
1393
+ 349
1394
+ 00:30:25,400 --> 00:30:33,120
1395
+ one one row one column one 24.5 squared
1396
+
1397
+ 350
1398
+ 00:30:37,880 --> 00:30:45,140
1399
+ ุงู„ุซุงู†ูŠุฉ 32-30
1400
+
1401
+ 351
1402
+ 00:30:45,140 --> 00:30:50,740
1403
+ .8 ุงู‡
1404
+
1405
+ 352
1406
+ 00:30:50,740 --> 00:31:00,400
1407
+ ุฎู„ุงุต ูˆ ุจูƒู…ู„ ู„ู„ุงุฎุฑ ู„ุฃุณู„ ุงู„ู„ูŠ ู‡ูŠ 10-8
1408
+
1409
+ 353
1410
+ 00:31:06,120 --> 00:31:11,500
1411
+ ูˆุงุถุญ ุงู„ุฏูˆุดุฉ ููŠ ุงู„ู€ calculations ุจุณ ูˆุทู„ุน ุงู„ู€ job
1412
+
1413
+ 354
1414
+ 00:31:11,500 --> 00:31:20,660
1415
+ point 0.709 ุฅุฐุง ุทู„ุนุช ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ู€ statistic ุงู„ู„ูŠ
1416
+
1417
+ 355
1418
+ 00:31:20,660 --> 00:31:27,440
1419
+ ู„ุงุฒู… ุฃุทู„ุน ู…ูŠู†ุŸ ุงู„ู€ Kยฒ Alpha ุงู„ู„ูŠ ูŠุนู…ู„ ูƒุงูŠ ุณูƒูˆูŠุฑ
1420
+
1421
+ 356
1422
+ 00:31:27,440 --> 00:31:34,000
1423
+ ุชุงุจู„ ุทุจุนุง ุงู„ู€ Kยฒ ุญูƒูŠู†ุง ุนู†ู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ right
1424
+
1425
+ 357
1426
+ 00:31:34,000 --> 00:31:40,030
1427
+ skewedุงู„ุงู† ุจุงู„ู†ุณุจุฉ ู„ู€ degrees of freedom ุงู„ู…ุญุฏุฏุฉ 6
1428
+
1429
+ 358
1430
+ 00:31:40,030 --> 00:31:44,490
1431
+ % ูˆ alpha 5%
1432
+
1433
+ 359
1434
+ 00:32:08,910 --> 00:32:16,410
1435
+ ุฃูˆู„ ุฎุทูˆุฉ ู…ูˆุฌู‡ุฉ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ 6 ุฃู„ู
1436
+
1437
+ 360
1438
+ 00:32:16,410 --> 00:32:21,530
1439
+ ู‡ูˆ 5% ุงู„ู…ุชู‚ุงุจู„
1440
+
1441
+ 361
1442
+ 00:32:21,530 --> 00:32:27,610
1443
+ ุจูŠู† ุฑูˆ 6 ูˆุฎุทูˆุฉ 5% ู‡ูŠ ู‚ูŠู…ุฉ ูƒุงูŠ ุฃูƒุชุฑ
1444
+
1445
+ 362
1446
+ 00:32:32,940 --> 00:32:38,460
1447
+ 12.56 ุงูˆ
1448
+
1449
+ 363
1450
+ 00:32:38,460 --> 00:32:43,800
1451
+ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12
1452
+
1453
+ 364
1454
+ 00:32:43,800 --> 00:32:44,800
1455
+ .6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6
1456
+
1457
+ 365
1458
+ 00:32:44,800 --> 00:32:46,280
1459
+ ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ
1460
+
1461
+ 366
1462
+ 00:32:46,280 --> 00:32:46,340
1463
+ ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ
1464
+
1465
+ 367
1466
+ 00:32:46,340 --> 00:32:52,300
1467
+ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ
1468
+
1469
+ 368
1470
+ 00:32:52,300 --> 00:33:02,000
1471
+ 12.6 ุงูˆ 12.6 ุงู‡ูˆ ู‚ูŠู…ุฉ 0.709 ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ
1472
+
1473
+ 369
1474
+ 00:33:02,000 --> 00:33:04,820
1475
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1476
+
1477
+ 370
1478
+ 00:33:04,820 --> 00:33:05,860
1479
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1480
+
1481
+ 371
1482
+ 00:33:05,860 --> 00:33:10,360
1483
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1484
+
1485
+ 372
1486
+ 00:33:10,360 --> 00:33:10,840
1487
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1488
+
1489
+ 373
1490
+ 00:33:10,840 --> 00:33:13,660
1491
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1492
+
1493
+ 374
1494
+ 00:33:13,660 --> 00:33:14,360
1495
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1496
+
1497
+ 375
1498
+ 00:33:14,360 --> 00:33:16,960
1499
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1500
+
1501
+ 376
1502
+ 00:33:16,960 --> 00:33:17,060
1503
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1504
+
1505
+ 377
1506
+ 00:33:17,060 --> 00:33:26,300
1507
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑ
1508
+
1509
+ 378
1510
+ 00:33:27,030 --> 00:33:29,950
1511
+ ูˆู„ุง don't reject ูˆู„ุง don't reject ู…ุนู†ุงู‡ ูƒุฏู‡ there
1512
+
1513
+ 379
1514
+ 00:33:29,950 --> 00:33:36,110
1515
+ is ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุทู„ุน ู…ุงููŠุด relationship ู…ุนู†ุงู‡ there
1516
+
1517
+ 380
1518
+ 00:33:36,110 --> 00:33:40,090
1519
+ is not sufficient evidence that the meal plan and
1520
+
1521
+ 381
1522
+ 00:33:40,090 --> 00:33:43,750
1523
+ class standing are related ู…ุนู†ุงู‡ ู…ุงููŠุด ุนู†ุฏ ู‡ุฐูŠู†
1524
+
1525
+ 382
1526
+ 00:33:43,750 --> 00:33:46,430
1527
+ ุงู„ู„ูŠ ุชุฏุนูŠ ุฃู†ู‡ู… ู…ุฑุชุจุทูŠู† ู…ุน ุจุนุถ ู…ุน ูƒุฏู‡ ู…ุง ู„ู‡ู…
1528
+
1529
+ 383
1530
+ 00:33:46,430 --> 00:33:52,250
1531
+ ู…ุณุชู‚ู„ูŠู† ุนู† ุจุนุถ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุตSophomore ูˆ ู„ุง
1532
+
1533
+ 384
1534
+ 00:33:52,250 --> 00:33:55,290
1535
+ Junior ูˆ ู„ุง Senior ูˆ ู„ุง Freshman ู…ุด ู‡ุฃุซุฑ ุนู„ู‰
1536
+
1537
+ 385
1538
+ 00:33:55,290 --> 00:33:58,090
1539
+ number of meals ุงู„ู„ูŠ ู‡ูˆ ุจูŠุงุฎุฏู‡ุง ููŠ ุงู„ุงุณุจูˆุน ู…ุน ูƒุฏู‡
1540
+
1541
+ 386
1542
+ 00:33:58,090 --> 00:34:05,610
1543
+ ุงู„ุทุงู„ุจ ู…ุงู„ู‡ ูŠุนู†ูŠ ุฃุซุฑ ุนู„ูŠู‡ ุงู„ูˆุถุน ุชุจุนู‡ ูˆ ู„ุง ู…ู†ูุชุงุญ
1544
+
1545
+ 387
1546
+ 00:34:05,610 --> 00:34:12,830
1547
+ ู‡ูˆ ู…ุด ูุงุฑู‚ุฉ ู…ุนุงู‡ ุฒูŠู‡ ูˆ ุฒูŠ ุบูŠุฑู‡ ูˆุงุถุญุŸ
1548
+
1549
+ 388
1550
+ 00:34:12,830 --> 00:34:20,310
1551
+ ู‡ุฐุง ูƒุงู† ุฃุฎุฑ ุญุงุฌุฉ ููŠ ุฃูŠ ุณุคุงู„ any question
1552
+
1553
+ 389
1554
+ 00:34:23,090 --> 00:34:25,470
1555
+ So next time Inshallah I will give practice
1556
+
1557
+ 390
1558
+ 00:34:25,470 --> 00:34:27,250
1559
+ session for chapter 11
1560
+
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@@ -0,0 +1,1616 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุณู†ูƒู…ู„ ููŠ
4
+
5
+ 2
6
+ 00:00:24,870 --> 00:00:31,850
7
+ ุงู„ุญู„ู‚ู‡ ุงู„ุชุงุณุนุฉ ูˆุงู„ุฃุฎุฑ ู…ุฑุฉ ุชุญุฏุซู†ุง ุนู† ู…ุฎุชู„ูุฉ ูƒุงูŠ
8
+
9
+ 3
10
+ 00:00:31,850 --> 00:00:36,130
11
+ ุณูƒูˆุงุฑ ุจูŠู† ุงุซู†ูŠู† ู…ุฌุชู…ุนุงุช ูˆู…ู‚ุงูˆู…ุงุช ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡
12
+
13
+ 4
14
+ 00:00:36,130 --> 00:00:41,330
15
+ ุณู†ุทูˆุฑ ู‡ุฐุง ุงู„ู†ุชุงุฆุฌ ู„ู…ุฌู…ูˆุนุงุช ุงูƒุชุฑ ู…ู† ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุงุช
16
+
17
+ 5
18
+ 00:00:41,330 --> 00:00:47,170
19
+ ูู‡ุฐู‡ ุงู„ู…ุฌุงู„ู‡ ุชุชูƒู„ู… ุนู† ู…ุฎุชู„ูุงุช ูƒุงูŠ ุณูƒูˆุงุฑ ุจูŠู† ุงูƒุชุฑ
20
+
21
+ 6
22
+ 00:00:47,170 --> 00:00:54,150
23
+ ู…ู† ุงุซู†ูŠู† ู…ู‚ุงูˆู…ุงุชูู‡ู†ุง ู†ุฌุนู„ ุงู„ุงุฎุชุตุงุฑ ูƒุงูŠ ุณูƒูˆุงุฑ ุชุณุช
24
+
25
+ 7
26
+ 00:00:54,150 --> 00:00:57,750
27
+ ุฅู„ู‰ ุญุงู„ุฉ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
28
+
29
+ 8
30
+ 00:00:57,750 --> 00:00:58,830
31
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
32
+
33
+ 9
34
+ 00:00:58,830 --> 00:00:59,650
35
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
36
+
37
+ 10
38
+ 00:00:59,650 --> 00:00:59,650
39
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
40
+
41
+ 11
42
+ 00:00:59,650 --> 00:01:00,510
43
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
44
+
45
+ 12
46
+ 00:01:00,510 --> 00:01:01,150
47
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
48
+
49
+ 13
50
+ 00:01:01,150 --> 00:01:14,450
51
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
52
+
53
+ 14
54
+ 00:01:14,450 --> 00:01:14,450
55
+ ุฃ
56
+
57
+ 15
58
+ 00:01:19,600 --> 00:01:24,820
59
+ ูˆู‡ู†ุง ู†ู‚ูˆู… ุจุชุตู…ูŠู… ุงู„ู†ุงุฑ ุฅู„ู‰ ุซู„ุงุซ ู…ุฌู…ูˆุนุงุช ุฃูˆ ุซู„ุงุซ
60
+
61
+ 16
62
+ 00:01:24,820 --> 00:01:37,460
63
+ ูƒุงุชุฌุงุฑุงุช ู…ุฏุฎู„ูŠู†
64
+
65
+ 17
66
+ 00:01:37,460 --> 00:01:45,140
67
+ ุจุดูƒู„ ูƒุจูŠุฑ ู…ุฏุฑุฏ ู…ุฏุฎู„ูŠู†
68
+
69
+ 18
70
+ 00:01:45,140 --> 00:01:49,280
71
+ ูˆู…ุถุงุฏ ู…ุฏุฎู„ูŠู†
72
+
73
+ 19
74
+ 00:01:50,290 --> 00:01:53,930
75
+ So we classify smoking into three categories
76
+
77
+ 20
78
+ 00:01:53,930 --> 00:02:01,050
79
+ heavy, moderate and light ุดุฏูŠุฏ ู…ุชูˆุณุท ูˆู‚ู„ูŠู„ and
80
+
81
+ 21
82
+ 00:02:01,050 --> 00:02:08,590
83
+ education for example we have secondary or
84
+
85
+ 22
86
+ 00:02:08,590 --> 00:02:18,810
87
+ less ู…ุน ุซุงู†ูˆูŠุฉ ุงูˆ ุงู‚ู„ bachelor master
88
+
89
+ 23
90
+ 00:02:21,390 --> 00:02:28,490
91
+ ูˆ Phd ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠูˆุฌุฏ .. ู„ุฏูŠู†ุง ุงุซู†ูŠู† ู…ูŠุฒุงู†ูŠุงุช
92
+
93
+ 24
94
+ 00:02:28,490 --> 00:02:34,110
95
+ ุงุชุญุงุฏ
96
+
97
+ 25
98
+ 00:02:34,110 --> 00:02:42,410
99
+ ูˆ ุฅุฏุงุฑุฉ ูˆ ู†ุญู† ู…ู‡ุชู…ูˆู† ุจุงู„ุชุญู‚ูŠู‚ ุจูŠู† ุงุชุญุงุฏ ูˆ ุฅุฏุงุฑุฉ
100
+
101
+ 26
102
+ 00:02:44,490 --> 00:02:50,130
103
+ smoking habit ุนุฏู„ ุนุฏุฏ ุชุฏุฎูŠู† ุงู„ุตุจุงุฒ is classified
104
+
105
+ 27
106
+ 00:02:50,130 --> 00:02:53,710
107
+ into three groups or three categories heavy
108
+
109
+ 28
110
+ 00:02:53,710 --> 00:02:57,490
111
+ moderate and light while the other variable of
112
+
113
+ 29
114
+ 00:02:57,490 --> 00:03:00,110
115
+ interest is education and this one is classified
116
+
117
+ 30
118
+ 00:03:00,110 --> 00:03:04,290
119
+ into four groups secondary bachelor master and PhD
120
+
121
+ 31
122
+ 00:03:04,290 --> 00:03:09,050
123
+ so in this case we are comparing among more than
124
+
125
+ 32
126
+ 00:03:09,050 --> 00:03:15,000
127
+ two proportions ู„ูˆ ุฃู†ุง ุนุงูŠุฒ ุฃุดูˆูุฅุฐุง ู†ุณุจุฉ ุงู„ู…ุฏุงุฎู„ูŠู†
128
+
129
+ 33
130
+ 00:03:15,000 --> 00:03:20,380
131
+ ุชุฎุชู„ู ุจุญุณุจ ุงู„ู…ุณู…ู‰ ุงู„ุดุฎุต ู…ุงู‡ูˆ ุจูƒู„ูˆุฑูˆุณ ู…ุฑุญูˆุด ูˆูƒุฐุง
132
+
133
+ 34
134
+ 00:03:20,380 --> 00:03:29,880
135
+ ูู‡ู†ุง ุนู†ุฏูŠ three rows for example and
136
+
137
+ 35
138
+ 00:03:29,880 --> 00:03:36,960
139
+ the other one four columns this
140
+
141
+ 36
142
+ 00:03:36,960 --> 00:03:40,200
143
+ table is called a three by four table
144
+
145
+ 37
146
+ 00:03:46,240 --> 00:03:55,120
147
+ ู‡ุฐู‡ ุงู„ุทุงูˆู„ุฉ ู…ุฑุณูˆู…ุฉ ูƒุชุงุจุฉ ู…ุฏุฑุณุฉ
148
+
149
+ 38
150
+ 00:03:55,120 --> 00:04:05,020
151
+ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ
152
+
153
+ 39
154
+ 00:04:05,020 --> 00:04:10,660
155
+ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ ู…ุฏุฑุณุฉ
156
+
157
+ 40
158
+ 00:04:13,970 --> 00:04:16,270
159
+ ู„ุฐู„ูƒ ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ูŠุณู…ู‰ ุซู„ุงุซุฉ ู„ุฃู†ู†ุง ู„ุฏูŠู†ุง ุซู„ุงุซ
160
+
161
+ 41
162
+ 00:04:16,270 --> 00:04:22,750
163
+ ุฑูˆุงูŠุงุช ูˆ4 ู‚ู„ู… ุซู„ุงุซุฉ ุนู„ู‰ ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
164
+
165
+ 42
166
+ 00:04:22,750 --> 00:04:25,750
167
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
168
+
169
+ 43
170
+ 00:04:25,750 --> 00:04:25,750
171
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
172
+
173
+ 44
174
+ 00:04:25,750 --> 00:04:25,750
175
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
176
+
177
+ 45
178
+ 00:04:25,750 --> 00:04:25,750
179
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน
180
+
181
+ 46
182
+ 00:04:25,750 --> 00:04:30,270
183
+ ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุฃุฑุจุน ุงู„ุงุฑุจุน
184
+
185
+ 47
186
+ 00:04:30,270 --> 00:04:35,250
187
+ ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน
188
+
189
+ 48
190
+ 00:04:35,250 --> 00:04:36,890
191
+ ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน
192
+
193
+ 49
194
+ 00:04:36,890 --> 00:04:41,410
195
+ ุงู„ุง๏ฟฝ๏ฟฝุจุน ุงู„ุงุฑุจุน ุงู„ุงุฑุจุน
196
+
197
+ 50
198
+ 00:04:43,080 --> 00:04:47,940
199
+ ุงู„ุนุงุฏุฉ ุฅู„ู‰ ุจุงูŠ ุณูŠ ุงุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ุฏุฎูˆู„ ููŠ ุงู„ู†ุงุฑ
200
+
201
+ 51
202
+ 00:04:47,940 --> 00:04:51,720
203
+ ู„ุฐุง ู„ุฏูŠู†ุง ุจุงูŠ ูˆุงุญุฏ ุงู‚ู„ ุจุงูŠ ุงุซู†ูŠู† ุงู‚ู„ ุจุงูŠ ุซู„ุงุซ ุงุฐุง
204
+
205
+ 52
206
+ 00:04:51,720 --> 00:04:56,360
207
+ ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ุฏุฑุงุณุฉ ุจุงูŠ ูˆุงุญุฏ ุจุงูŠ ุงุซู†ูŠู† ุจุงูŠ ุซู„ุงุซุฉ ูˆ
208
+
209
+ 53
210
+ 00:04:56,360 --> 00:05:03,200
211
+ ุจุงูŠ ุฃุฑุจุนุฉ ูƒู„ ูˆุงุญุฏ ุงู„ุขู† ุนู†ุฏู…ุง ู†ูุชุฑุถ ุงู„ู‡ูŠุจูˆุชุณูŠุฒ
212
+
213
+ 54
214
+ 00:05:03,200 --> 00:05:08,340
215
+ ุงู„ุฎุงุทุฆ ู‡ุฐุง ู„ุง ูŠุนู†ูŠ ุงู† ุฌู…ูŠุน ุงู„ ุจุงูŠ ุฌูŠ ู…ุฑุชุจุทูŠู† ูŠุนู†ูŠ
216
+
217
+ 55
218
+ 00:05:08,340 --> 00:05:13,280
219
+ ุฃู† ู‡ู†ุงูƒ ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุงุญุฏ ู…ู† ู‡ุฐู‡ ุงู„ุจูŠdiffers from the
220
+
221
+ 56
222
+ 00:05:13,280 --> 00:05:22,700
223
+ others ุนุดุงู† ูƒุฏู‡ ุจูƒุชุจู‡ุง not all not all of the by j
224
+
225
+ 57
226
+ 00:05:22,700 --> 00:05:34,200
227
+ are the same ู…ุด ูƒู„ู‡ู… ุฒูŠ ุจุนุถ or are equal ู‡ุฐู‡
228
+
229
+ 58
230
+ 00:05:34,200 --> 00:05:37,020
231
+ ุงู„ null ูˆุงู„ุชุฑู†ูŠุฉ ุชุงุนูŠ ุจู‚ู‰ ุฏู„ูˆู‚ุชูŠ ุงู„chi-square
232
+
233
+ 59
234
+ 00:05:37,020 --> 00:05:38,860
235
+ statistic is the same as
236
+
237
+ 60
238
+ 00:05:44,590 --> 00:05:51,910
239
+ ุฃู†ุง ุนู†ุฏูŠ ููŠู‡ ุฏุฑุฌุงุช ุนู„ู…ูŠุฉ ุซุงู†ูˆูŠุฉ ุจูƒุงู„ูŠูˆุฒ ู…ุงุฌุณุชูŠุฑ ูˆ
240
+
241
+ 61
242
+ 00:05:51,910 --> 00:06:00,210
243
+ PhD ุงู„ู„ูŠ
244
+
245
+ 62
246
+ 00:06:00,210 --> 00:06:03,230
247
+ ู…ุงู‚ุนุฏู‡ ุฏูƒุชูˆุฑ ูŠุทู„ุน ุนู„ูŠู‡ PhD philosophy degree ุฃูˆ
248
+
249
+ 63
250
+ 00:06:03,230 --> 00:06:07,870
251
+ ุฏุฑุฌุฉ ุงู„ูู„ุณูุฉ ุงู„
252
+
253
+ 64
254
+ 00:06:07,870 --> 00:06:12,320
255
+ chi-square ุงู„ statistic ู‡ูŠู†ุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ุฃูˆู„ ู„ูˆ
256
+
257
+ 65
258
+ 00:06:12,320 --> 00:06:16,360
259
+ summation ุงู„ู€ f observed frequency observed minus
260
+
261
+ 66
262
+ 00:06:16,360 --> 00:06:19,680
263
+ expected frequency squared over expected frequency
264
+
265
+ 67
266
+ 00:06:19,680 --> 00:06:26,240
267
+ now suppose for example there are two rows suppose
268
+
269
+ 68
270
+ 00:06:26,240 --> 00:06:31,640
271
+ we have two rows ุตููŠู† ุจุณ ูˆ c columns
272
+
273
+ 69
274
+ 00:06:35,760 --> 00:06:39,740
275
+ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ูŠุณู…ู‰ two by C ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ
276
+
277
+ 70
278
+ 00:06:39,740 --> 00:06:45,100
279
+ ุฑู‚ู…ูŠู† ูƒุซูŠุฑ ู…ู† ูƒู„ู…ุฉ C ุจูŠุณู…ูŠู‡ two by C ุฏุฑุฌุฉ ุงู„ูุฑุฏู‡
280
+
281
+ 71
282
+ 00:06:45,100 --> 00:06:48,960
283
+ ู…ุด ู‡ุชุณุงูˆูŠ ุงุญู†ุง
284
+
285
+ 72
286
+ 00:06:48,960 --> 00:06:51,820
287
+ ุงุฎุฏู†ุง ุงุฐุง ูƒุงู†ุช two by two ูƒุงู†ุช one ู…ุด ู‡ูŠูƒ ู‡ู†ุง
288
+
289
+ 73
290
+ 00:06:51,820 --> 00:06:59,620
291
+ ุจุชุตูŠุฑ two minus one times C minus one ู„ุงู† two
292
+
293
+ 74
294
+ 00:06:59,620 --> 00:07:04,660
295
+ minus one is one ูู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงูŠู‡ุŸ C minus one
296
+
297
+ 75
298
+ 00:07:05,350 --> 00:07:09,990
299
+ ุงู„ู…ุฑุฉ ุงู„ุณุงุจู‚ุฉ ูƒุงู†ุช ุงู„ูƒูˆู„ูˆู…ุฉ ูƒู… ูˆุงุญุฏุŸ ุงุชู†ูŠู† ู„ูˆ ุนูˆุถุช
300
+
301
+ 76
302
+ 00:07:09,990 --> 00:07:12,990
303
+ ุงู†ุณูŠุจ ุงุชู†ูŠู†ุŒ ุงูŠุด ุจูŠุทู„ุนุŸ ูˆุงุญุฏุŒ ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ุงู„ู…ุฑุฉ
304
+
305
+ 77
306
+ 00:07:12,990 --> 00:07:17,030
307
+ ุงู„ุณุงุจู‚ุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ูƒู„ ุฌุณู… ููŠ
308
+
309
+ 78
310
+ 00:07:17,030 --> 00:07:21,170
311
+ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ ู„ุฏูŠู‡ ุชูˆู‚ูŠุช ุนุฏุฏ ุชู‚ุฑูŠุจ ู…ู† ุฃู‚ู„ ูˆุงุญุฏ
312
+
313
+ 79
314
+ 00:07:21,170 --> 00:07:28,670
315
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ
316
+
317
+ 80
318
+ 00:07:28,670 --> 00:07:28,670
319
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ
320
+
321
+ 81
322
+ 00:07:28,670 --> 00:07:29,750
323
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ
324
+
325
+ 82
326
+ 00:07:29,750 --> 00:07:34,890
327
+ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณูŠ ู„ุชุนุงู…ู„ ู…ู‚ุงุฑู†ุฉ ุงู„ุงู†ุชุฌู†ุณู‡ู†ุง
328
+
329
+ 83
330
+ 00:07:34,890 --> 00:07:39,070
331
+ ุจุงู„ู†ุณุจุฉ ู„ู€ two by C ุฃูˆ R by C ูŠูƒูˆู† at least one
332
+
333
+ 84
334
+ 00:07:39,070 --> 00:07:42,950
335
+ ูŠุนู†ูŠ ู‡ุฏูˆู„ expected frequency should be at least
336
+
337
+ 85
338
+ 00:07:42,950 --> 00:07:49,170
339
+ one ุนู„ู‰ ุงู„ุฃู‚ู„ ุชูƒูˆู† ู‚ูŠู…ุชู‡ุง ุณูˆู‰ ูˆุงุญุฏ ุฒูŠ
340
+
341
+ 86
342
+ 00:07:49,170 --> 00:07:52,210
343
+ ู…ุง ุญูƒูŠู†ุง ู…ุฑุฉ ูุงุชุฑุฉ we can compute the overall
344
+
345
+ 87
346
+ 00:07:52,210 --> 00:07:56,110
347
+ proportion by using this formula last time we have
348
+
349
+ 88
350
+ 00:07:56,600 --> 00:08:07,720
351
+ X1 plus X2 all the way
352
+
353
+ 89
354
+ 00:08:07,720 --> 00:08:11,600
355
+ up to XC ู†ุฌู…ุญู‡ู… ูˆู†ุฌุณู…ู‡ุง ู„ู€ total sample size N1
356
+
357
+ 90
358
+ 00:08:11,600 --> 00:08:12,900
359
+ plus N2 plus NC
360
+
361
+ 91
362
+ 00:08:23,930 --> 00:08:31,690
363
+ ุฅุฐุง ู†ูุณ ุงู„ู‚ุตุฉ ุงู„ุชุงุจุนุฉ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ ุฅุฐุง
364
+
365
+ 92
366
+ 00:08:31,690 --> 00:08:36,270
367
+ ุงู„ู„ูŠ ู‡ุงุฎุฏู‡ ุงู„ุขู† ุจู†ูุณ ุงู„ููƒุฑุฉ ุจุฏู„ ู…ุง ูŠูƒูˆู† ุนู†ุฏู‰ two
368
+
369
+ 93
370
+ 00:08:36,270 --> 00:08:41,310
371
+ rows ูˆ two columns ู„ูˆ ูƒุงู† ุนู†ุฏู‰ R rows ูŠุนู†ูŠ ุนุฏุฉ
372
+
373
+ 94
374
+ 00:08:41,310 --> 00:08:45,850
375
+ ุตููˆู R ูŠุนู†ูŠ in general ูˆ C column ูŠุนู†ูŠ ุจุฏู„ two by
376
+
377
+ 95
378
+ 00:08:45,850 --> 00:08:52,440
379
+ Cุฎู„ู‘ูŠู‡ุง R rows by C columns ูุจู†ุณู…ูŠ ุงู„ู€ chi-square
380
+
381
+ 96
382
+ 00:08:52,440 --> 00:08:56,560
383
+ ุงู„ู„ูŠ ุฌูŠู‡ ุงู„ู€ chi-square test of independence ุงู„ู€
384
+
385
+ 97
386
+ 00:08:56,560 --> 00:09:00,700
387
+ chi-square ู„ู„ุงุณุชู‚ู„ุงู„ ู„ุงุฎุชุจุงุฑ ุงู„ุงุณุชู‚ู„ุงู„ ู‡ุฐุง similar
388
+
389
+ 98
390
+ 00:09:00,700 --> 00:09:04,200
391
+ ู†ูุณ ู…ุง ุงุชุฎุฐู†ุงู‡ ููŠ ุงู„ุฃูˆู„ to the chi-square for
392
+
393
+ 99
394
+ 00:09:04,200 --> 00:09:06,660
395
+ equality of more than two population proportions
396
+
397
+ 100
398
+ 00:09:06,660 --> 00:09:10,000
399
+ but extend the concept of contingency tables with
400
+
401
+ 101
402
+ 00:09:10,000 --> 00:09:17,260
403
+ R rows and C columns ูŠุนู†ูŠ ุจุทุฑุช ุงู„ R ุจุงุชู†ูŠู†ู‡ูˆ ู…ุซู„ู‹ุง
404
+
405
+ 102
406
+ 00:09:17,260 --> 00:09:21,620
407
+ ู…ุซู„ู‹ุง ุนู†ุฏูƒ ุนุฑุจ ุชู„ุงุชุฉ ุงูุชุฑุถ ูุจู†ุณู…ูŠู‡ test of
408
+
409
+ 103
410
+ 00:09:21,620 --> 00:09:25,840
411
+ independence ูŠุนู†ูŠ ุจุฏู„ ุงู„ุงุชู†ูŠู† ุตุงุฑ ุนู†ุฏูƒ ุนุฑุจ ุชู„ุงุชุฉ
412
+
413
+ 104
414
+ 00:09:25,840 --> 00:09:29,700
415
+ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุงูˆ ู‡ูƒุฐุง ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุณุชุทูŠุน ุฃู† ู†ูƒุชุจ
416
+
417
+ 105
418
+ 00:09:29,700 --> 00:09:33,920
419
+ ุงู„hypothesis ุงู„ุงู†ุงู„ูŠุฉ ุจุฏู„ุง ู…ู† by one equals by two
420
+
421
+ 106
422
+ 00:09:33,920 --> 00:09:41,880
423
+ all the way up to by C ู„ุฃู† ู„ุฏูŠู†ุง ุนุฑุจ ุชู„ุงุชุฉุชุบูŠูŠุฑ
424
+
425
+ 107
426
+ 00:09:41,880 --> 00:09:45,960
427
+ ู‡ุฐุง ุงู„ู€ null ุจุงุณุชุฎุฏุงู… ุงู„ุงู†ุชุฌุงุฑุงุช ุงู„ุงู†ุชุฌุงุฑูŠุฉ
428
+
429
+ 108
430
+ 00:09:45,960 --> 00:09:49,300
431
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
432
+
433
+ 109
434
+ 00:09:49,300 --> 00:09:53,760
435
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
436
+
437
+ 110
438
+ 00:09:53,760 --> 00:09:54,920
439
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
440
+
441
+ 111
442
+ 00:09:54,920 --> 00:09:56,560
443
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
444
+
445
+ 112
446
+ 00:09:56,560 --> 00:09:56,560
447
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
448
+
449
+ 113
450
+ 00:09:56,560 --> 00:09:56,560
451
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
452
+
453
+ 114
454
+ 00:09:56,560 --> 00:09:56,560
455
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
456
+
457
+ 115
458
+ 00:09:56,560 --> 00:10:00,640
459
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
460
+
461
+ 116
462
+ 00:10:00,640 --> 00:10:10,700
463
+ ุงู„ุงู†ุชุฌุงุฑูŠุฉ
464
+
465
+ 117
466
+ 00:10:10,910 --> 00:10:15,930
467
+ independent this means I mean independent means
468
+
469
+ 118
470
+ 00:10:15,930 --> 00:10:19,090
471
+ there is no relationship between them ู…ุงููŠุด ุนู„ุงู‚ุฉ
472
+
473
+ 119
474
+ 00:10:19,090 --> 00:10:22,090
475
+ ุจูŠู† ุงู„ุฅุชู†ูŠู†ุŒ ู‡ุงูŠ ู…ุนู†ู‰ independent ูˆุงู„ุงู„ุชุงู†ูŠุฉ ู…ุด
476
+
477
+ 120
478
+ 00:10:22,090 --> 00:10:25,610
479
+ ู‡ูŠูƒูˆู† ุนูƒุณ
480
+
481
+ 121
482
+ 00:10:25,610 --> 00:10:28,110
483
+ ุนู„ู‰ ุทูˆู„ ุงู„ two variables or the two categorical
484
+
485
+ 122
486
+ 00:10:28,110 --> 00:10:31,550
487
+ variables are dependent ุฃูˆ related ูŠุนู†ูŠ ููŠู‡ ุงุฑุชุจุงุท
488
+
489
+ 123
490
+ 00:10:31,550 --> 00:10:36,970
491
+ ุจูŠู†ู‡ู…ุŒ ุฅุฐุง the two variables are dependent ุฃูˆ
492
+
493
+ 124
494
+ 00:10:36,970 --> 00:10:43,690
495
+ ุจู†ุณู…ูŠู‡ู… relatedrelate ูŠุนู†ูŠ ู…ุด ููŠ ุงุฑุชุจุงุท ู…ุนู†ุงู‡
496
+
497
+ 125
498
+ 00:10:43,690 --> 00:10:46,870
499
+ there is a relationship between them ุฅุฐุง ุฃู†ุง ุฑุญ
500
+
501
+ 126
502
+ 00:10:46,870 --> 00:10:51,890
503
+ ุฃุนู…ู„ ุจุฏู„ two by two ุงู„ู„ูŠ ุฃุฎุฏู†ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ ู…ุด
504
+
505
+ 127
506
+ 00:10:51,890 --> 00:10:55,890
507
+ ุฃุฎุฏู†ุง two by two ุงู„ุงู† ูƒุจุฑู†ุงู‡ุง ุดูˆูŠุฉ two by three
508
+
509
+ 128
510
+ 00:10:55,890 --> 00:11:01,530
511
+ two by three ุฒูŠ ุงู„ุดุบู„ ุงู„ู…ุนุฑูุงุช ุจุงู„ุธุจุท ุจุณ two by
512
+
513
+ 129
514
+ 00:11:01,530 --> 00:11:04,230
515
+ three ู‡ูŠูƒูˆู† ุนู†ุฏ heavy smokers ูˆ light smokers
516
+
517
+ 130
518
+ 00:11:04,230 --> 00:11:07,850
519
+ ุจูŠูƒูˆู†ุด ุนู†ุฏ moderate ู‡ุฏูˆู„ ุฒูŠ ุงู„ุดุบู„ ุจุชุงุน ุงู„ู…ุนุฑูุงุช
520
+
521
+ 131
522
+ 00:11:07,850 --> 00:11:14,020
523
+ ุจุงู„ุธุจุทุงู„ู„ูŠ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏ ู…ูˆุถูˆุน ุงู„ูŠูˆู… R by C ูŠุนู†ูŠ R
524
+
525
+ 132
526
+ 00:11:14,020 --> 00:11:17,980
527
+ ุฑูˆุฒ C ูƒูˆู„ูˆู…ุฒ ุจู†ุณู…ูŠ ุงู„ test ูƒุงูŠ ุณูƒูˆูŠุฑ test of
528
+
529
+ 133
530
+ 00:11:17,980 --> 00:11:21,420
531
+ independence still will have the same ูƒุงูŠ ุณูƒูˆูŠุฑ
532
+
533
+ 134
534
+ 00:11:21,420 --> 00:11:26,260
535
+ statistic but will have different formula to
536
+
537
+ 135
538
+ 00:11:26,260 --> 00:11:29,860
539
+ compute the expected frequency so again we have
540
+
541
+ 136
542
+ 00:11:29,860 --> 00:11:33,200
543
+ this ูƒุงูŠ ุณูƒูˆูŠุฑ statistic sum F observed minus F
544
+
545
+ 137
546
+ 00:11:33,200 --> 00:11:37,540
547
+ expected squared ุนู„ู‰ ุงู„ F expected ุทุจ ุงู„ degrees
548
+
549
+ 138
550
+ 00:11:37,540 --> 00:11:38,480
551
+ of freedom ู…ุด ู‡ุชุณุงูˆูŠ
552
+
553
+ 139
554
+ 00:11:41,260 --> 00:11:43,740
555
+ ุจู‚ู‰ ุจุงู„ุธุจุท ุฅุฐุง ูƒุงู†ุช ุงู„ู€ two minus one ูƒุงู†ุช two
556
+
557
+ 140
558
+ 00:11:43,740 --> 00:11:47,500
559
+ rows ู„ุฅู†ุตุงุฑ ุฑูˆุฒ R's ุจุงู„ุชุงู„ูŠ ุงู„ degrees of freedom
560
+
561
+ 141
562
+ 00:11:47,500 --> 00:11:53,560
563
+ in this case ู„ู„ุชุงุจู„ ุงู„ู„ูŠ ู‡ู†ุง equals R minus one
564
+
565
+ 142
566
+ 00:11:53,560 --> 00:11:58,440
567
+ this is in general so for the general contingency
568
+
569
+ 143
570
+ 00:11:58,440 --> 00:12:03,520
571
+ table which has R rows and C columns there are R
572
+
573
+ 144
574
+ 00:12:03,520 --> 00:12:07,340
575
+ minus one times C minus one degrees of freedomุนู„ู‰
576
+
577
+ 145
578
+ 00:12:07,340 --> 00:12:12,060
579
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุนู†ุฏู…ุง R ูŠู‚ู„ 2 ูˆC ูŠู‚ู„ 2 ุฅุฐุง ู‚ู…ุช ุจุงู„ุถุบุท
580
+
581
+ 146
582
+ 00:12:12,060 --> 00:12:20,820
583
+ ุนู„ู‰ R2 ูˆC2 2-1ร—2-1 ูˆ2-1ร—2-1 ูˆ1 ูƒู…ุง ูƒุงู†ุช ุงู„ู…ุฑุฉ
584
+
585
+ 147
586
+ 00:12:20,820 --> 00:12:26,800
587
+ ุงู„ุณุงุจู‚ุฉุŒ ู…ุธุจูˆุทุŸ ุฅู„ู‰ ู†ูุณ ุงู„ู€ assumptionุŒ ูƒู„ ุนุถู„ุฉ
588
+
589
+ 148
590
+ 00:12:26,800 --> 00:12:35,870
591
+ ูƒุงู†ุช ุชุชูˆู‚ุน ุนู† ุนุถู„ุฉ ุฃู‚ู„ ู…ู† 1ุŒ ุฅุฐู† ุจุงู„ู†ุณุจุฉ ู„ู€2ร—Cูˆ ุงู„
592
+
593
+ 149
594
+ 00:12:35,870 --> 00:12:40,730
595
+ R by C ู„ุงุฒู… ุงู„ expected frequency ู…ุงู†ูˆ ุนู„ู‰ ุงู„ุฃู‚ู„
596
+
597
+ 150
598
+ 00:12:40,730 --> 00:12:46,870
599
+ ูŠูƒูˆู† ูˆุงุญุฏ ู„ูƒู† ุงู„ two by two ุงู„ expected ูŠูƒูˆู† ..
600
+
601
+ 151
602
+ 00:12:46,870 --> 00:12:50,290
603
+ ุฎู„ุงุต ุจู‚ู‰ ุงู„ expected ู…ุด ุงู„ observe ู…ุด ุงู„ู…ุดุงู‡ุฏ ู…ุด
604
+
605
+ 152
606
+ 00:12:50,290 --> 00:12:52,610
607
+ ููŠ ุงู„ table ุงู„ู„ูŠ ุฃู†ุง ุจุญุณุจู‡ should be at least five
608
+
609
+ 153
610
+ 00:12:52,610 --> 00:12:56,750
611
+ ุฃูˆ at least one
612
+
613
+ 154
614
+ 00:12:56,750 --> 00:13:00,710
615
+ ูƒูŠู ุจุฏูŠ ุฃุญุณุจ ุงู„ expected frequencyุŸ ู‡ูŠ ุงู„ุทุฑูŠู‚ุฉ
616
+
617
+ 155
618
+ 00:13:00,710 --> 00:13:06,150
619
+ ุนู†ุฏูŠ F expectedุจุชุณุงูˆูŠ raw total column total ุนู„ู‰
620
+
621
+ 156
622
+ 00:13:06,150 --> 00:13:10,970
623
+ sample size ูŠุนู†ูŠ ู„ุง ุฃูŠ cell ู…ุด ููŠู‡ raw total ูˆู„ุง
624
+
625
+ 157
626
+ 00:13:10,970 --> 00:13:13,650
627
+ ุฃูŠ cell ููŠู‡ column total ุจุชุทู„ุน ุงู„ expected
628
+
629
+ 158
630
+ 00:13:13,650 --> 00:13:17,250
631
+ frequency ุงู„ู„ูŠ ุจุถุฑุจู‡ู… ููŠ ุจุนุถ ูˆ ุจุฌุณู… ุนู„ู‰ ุงู„ N ูŠุนู†ูŠ
632
+
633
+ 159
634
+ 00:13:17,250 --> 00:13:29,470
635
+ ู„ูˆ ุฑุฌุนุช ู„ู„ู‚ุงุก ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช for this table ู„ูˆ
636
+
637
+ 160
638
+ 00:13:29,470 --> 00:13:36,120
639
+ ุนุงูŠุฒ ุงุทู„ุน ุงู„ expected frequencyู„ุฃูˆู„ cell ู„ู€ first
640
+
641
+ 161
642
+ 00:13:36,120 --> 00:13:41,280
643
+ cell ุนู†ุฏ ุงู„ observed 12 ู…ุด ู‡ูŠูƒุŸ ุฅุฐุง ุงู„ observed
644
+
645
+ 162
646
+ 00:13:41,280 --> 00:13:47,200
647
+ equal 12 ุงู„ expected ุฏูŠ ู„ูŠุด ู…ุชุณุงูˆูŠุŸ ุญุณุจ ุงู„ู‚ุงู†ูˆู† ุงู„
648
+
649
+ 163
650
+ 00:13:47,200 --> 00:13:50,600
651
+ raw total ุงู„ู„ูŠ ููŠู‡ ุงู„ 12 ููŠ ุงู„ column total ุนู„ู‰ ุงู„
652
+
653
+ 164
654
+ 00:13:50,600 --> 00:13:54,200
655
+ total sample size ู‡ุงูŠ ุงู„ 12 ุฅูŠุด ุงู„ raw ุทุจุนู‡ุง
656
+
657
+ 165
658
+ 00:13:54,200 --> 00:14:00,140
659
+ totalุŸ ูˆ ุงู„ columnุŸ ุนู„ู‰ ุงู„ 300 ุฅุฐุง ุตุงุฑ 120
660
+
661
+ 166
662
+ 00:14:05,320 --> 00:14:14,060
663
+ ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ 14.4 ู†ูุณ ุงู„ุฅุฌุงุจุฉ ุจุชุงุนุชู‡ุง ุทูŠุจ
664
+
665
+ 167
666
+ 00:14:14,060 --> 00:14:19,680
667
+ ุงู„ุจุนุฏู‡ุง ุฅูŠุด ู‡ูŠุนู…ู„ู‡ุง ุทู„ุนุช ู‡ุฐู‡ ุงู„ุจุนุฏู‡ุง ูƒูŠู ุจุชุทู„ุน ุงู„
668
+
669
+ 168
670
+ 00:14:19,680 --> 00:14:25,380
671
+ 105 ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ูุงุชุฑ ู†ุงู‚ุต ุงู„ 14 ุจุชุทู„ุน ุงู„ 105
672
+
673
+ 169
674
+ 00:14:25,380 --> 00:14:32,440
675
+ ุฃูˆ 120 264 300 ู‡ูŠุทู„ุน ู†ูุณ ุงู„ุฌูˆุงุจ ุจุณ ุงู„ู„ูŠ ุฑูŠุญ ู…ูŠู†
676
+
677
+ 170
678
+ 00:14:33,800 --> 00:14:36,900
679
+ ุชุฑุงุญุธูˆุง ู…ู† ุจุนุถ ุทุจุนุง ุฅุฐุง ูƒุงู†ุช ู‡ุฐู‡ ุตุญ ุฅุฐุง ู‡ุฐู‡ ุบู„ุท
680
+
681
+ 171
682
+ 00:14:36,900 --> 00:14:42,700
683
+ ูู‡ุฐู‡ ุบู„ุท ุงู„ู„ูŠ ู‚ูˆู„ุช ูุงู†ุช ู…ุฎูŠุฑุฉ ุทูŠุจ ุงู„ู„ูŠ ุฃู†ุง ุงุณุชุฎุฏู…ุช
684
+
685
+ 172
686
+ 00:14:42,700 --> 00:14:47,760
687
+ ุงู„ู‚ุงู†ูˆู† ู…ุฑุฉ ูˆุงุญุฏุฉ ู…ุด ู‡ูŠูƒ ุทูŠุจ ุงู„ู„ูŠ ุจุนุฏู‡ุง ูƒูŠู ุฃุทู„ุน
688
+
689
+ 173
690
+ 00:14:47,760 --> 00:14:52,440
691
+ ุญุฏ ุฅูŠู‡ ุฅู…ุง ุจุงู„ู‚ุงู†ูˆู† ู…ูŠุฉ ูˆุชู…ุงู†ูŠู† ุชู„ุงุช ุณุชุฉ ุชู„ุงุชูŠู†
692
+
693
+ 174
694
+ 00:14:52,440 --> 00:14:59,920
695
+ ุชู„ุงุช ู…ูŠุฉ ุงูˆ ุงูˆ ุฅูŠุด ุทุฑูŠู‚ุชูŠู† ุฅู…ุง one eighty minus
696
+
697
+ 175
698
+ 00:14:59,920 --> 00:15:04,100
699
+ one fifty eight point fourุจุทู„ุน ุญุฏู‰ุŒ ุจุณ ู‡ุฐู‡ ู…ุด
700
+
701
+ 176
702
+ 00:15:04,100 --> 00:15:11,440
703
+ ู…ุนู„ูˆู…ุฉุŒ ุจุทู„ุน ู…ู† ู‡ู†ุง ุงู„ูŠูˆู… ุจุทู„ุน ุญุฏู‰ ูƒูŠู ุจุชุทู„ุนุŸ ุณุชุฉ
704
+
705
+ 177
706
+ 00:15:11,440 --> 00:15:14,600
707
+ ูˆ ุชู„ุงุชูŠู† ู†ู‚ุต ุงุฑุจุนุฉ ูˆ ุนุดุฑุŒ ู…ุด ู‡ูŠูƒุŸ ุจุทู„ุน ุงุณู… ูˆุงุญุฏ ูˆ
708
+
709
+ 178
710
+ 00:15:14,600 --> 00:15:19,840
711
+ ุนุดุฑูŠู† ู…ุน ูƒุฏู‡ ุฏู‡ ู„ู…ุง ุทู„ุนุช .. ุทู„ุนุช ู…ู† ุงู„ุฃูˆู„ุงู†ูŠุฉ ุทุจ
712
+
713
+ 179
714
+ 00:15:19,840 --> 00:15:25,540
715
+ ูˆุงู„ู„ูŠ ู‡ู†ุง ุจู„ุฒู… ุฃุทู„ุนู‡ุง ุจุงู„ู‚ุงู†ูˆู† ู‡ูŠ ู…ูŠุฉ ูˆ ุชู…ุงู†ูŠู† ูˆ
716
+
717
+ 180
718
+ 00:15:25,540 --> 00:15:29,300
719
+ ู…ุงุฆุชูŠู† ูˆ ุงุฑุจุนุฉ ูˆ ุณุชูŠู† ุน ุชู„ุงุช ู…ูŠุฉ ุงูˆ ู…ูŠุฉ ูˆ ุชู…ุงู†ูŠู†
720
+
721
+ 181
722
+ 00:15:29,300 --> 00:15:36,080
723
+ ู†ู‚ุต ู‡ุฐู‡ุงูˆ 244-105 ู…ุนู†ุงู‡ ูƒุฏู‡ ูƒู… ู…ุฑุฉ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู†
724
+
725
+ 182
726
+ 00:15:36,080 --> 00:15:41,940
727
+ ุงูˆ
728
+
729
+ 183
730
+ 00:15:41,940 --> 00:15:47,260
731
+ ุงู†ุง ุจุณ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู† ูˆูŠู† ู‡ู… ุทู„ุนุช ู‡ุฐู‡ ุทู„ุนุช ู‡ุฐู‡
732
+
733
+ 184
734
+ 00:15:47,260 --> 00:15:53,300
735
+ ู…ุธุจูˆุท ูˆ ุจุนุฏูŠู† ูƒูŠู ุทู„ุนุช ู‡ุฐู‡ ุจุงู„ู…ูƒู…ู„ุฉ ุงุฐุง ู‡ุฐู‡ ู„ุฃ ุทุจ
736
+
737
+ 185
738
+ 00:15:53,300 --> 00:15:59,160
739
+ ูˆ ู‡ุฐู‡ 120 ู†ุงู‚ุต ูˆ ุงู„ู„ูŠ ุชุญุชู‡ุง ู…ุนู†ุงู‡ ูƒุฏู‡ ู…ุฑุฉ ูˆุงุญุฏุฉุฒูŠ
740
+
741
+ 186
742
+ 00:15:59,160 --> 00:16:02,900
743
+ ู…ุง ุฃู†ุง ูƒุฏู‡ ุงู„ู€ expected frequency ุจูŠุณุงูˆูŠ ุนุฏุฏ ู…ุฑุงุช
744
+
745
+ 187
746
+ 00:16:02,900 --> 00:16:06,880
747
+ ุงุณุชุฎุฏุงู…ู‡ ุจุชุณุงูˆูŠ degrees of freedom ููŠ ุงู„ table ู‡ุฐุง
748
+
749
+ 188
750
+ 00:16:06,880 --> 00:16:13,520
751
+ ูƒุงู†ุช ูˆุงุญุฏ ู…ุธุจูˆุท ู‡ูŠูƒุŸ ุงู†ุง ู„ูˆ ุญูƒูŠุชู„ูƒ ููŠ ุงู„ุงู…ุชุญุงู† ู‡ูŠูƒ
752
+
753
+ 189
754
+ 00:16:13,520 --> 00:16:19,800
755
+ ุงู†ุฏูŠุชูƒ ูƒู„ ุงู„ู…ุนู„ูˆู…ุงุช ู‡ุฐู‡ ูˆูƒุงู† ู‡ุฐุง ูƒู„ู‡ ู…ุฌู‡ูˆู„ ุงู„ู‚ูŠู…
756
+
757
+ 190
758
+ 00:16:19,800 --> 00:16:26,140
759
+ ู‡ุฏูˆู„ ู…ุน ูƒุฏู‡ ุงู†ุง ู„ูˆ ุทู„ุนุช ู„ 14 ูˆ 4 ุจุชุทู„ุน ุงู„ุจุงุฌูŠ ุนู„ู‰
760
+
761
+ 191
762
+ 00:16:26,140 --> 00:16:31,650
763
+ ุทูˆู„ ูˆู‡ุฐุง ุจุชุณุงูˆูŠ degrees of freedomุทูŠุจ ู†ุงุฎุฏ ุณุคุงู„
764
+
765
+ 192
766
+ 00:16:31,650 --> 00:16:37,350
767
+ ุฃูƒุจุฑ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ ุทุจุนุง ุฅู† ุงู„ู‚ุตุฉ ู†ูุณ ุงู„ู„ูŠ ูุงุชุช we
768
+
769
+ 193
770
+ 00:16:37,350 --> 00:16:40,170
771
+ reject ุฅุฐุง ูƒุงู†ุช ุงู„ Kยฒ ุงู„ statistic ุฃูƒุจุฑ ู…ู† Kยฒ
772
+
773
+ 194
774
+ 00:16:40,170 --> 00:16:45,450
775
+ Alpha otherwise we don't reject ุงู„ example ุงู„ู„ูŠ
776
+
777
+ 195
778
+ 00:16:45,450 --> 00:16:49,690
779
+ ุจูŠุญูƒูŠ ุงู„ู‚ุงุชู„ the meal plan selected by 200
780
+
781
+ 196
782
+ 00:16:49,690 --> 00:16:54,830
783
+ students shouldn't belong ุจุชุนุฑู ุงู„ุทู„ุจุฉ ุจุฑุง ูŠูƒูˆู†
784
+
785
+ 197
786
+ 00:16:54,830 --> 00:16:59,250
787
+ ุงู„ุทุงู„ุจ ุฃูˆ ุงู„ุทุงู„ุจ ุงู„ุณุงูƒู† ุจุนูŠุฏ ุนู† ุฃู‡ู„ู‡ูŠุนู†ูŠ ุจุนูŠุฏ
788
+
789
+ 198
790
+ 00:16:59,250 --> 00:17:04,030
791
+ ู…ุณุงูุงุช ุจุนูŠุฏุฉ ู…ุด ุนุดุฑุฉ ุฃูˆ ุนุดุฑูŠู† ูƒูŠู„ูˆ ูุงู„ุทุงู„ุจ ุจูŠุฏุฑุณ
792
+
793
+ 199
794
+ 00:17:04,030 --> 00:17:08,030
795
+ ููŠ ุงู„ุฌุงู…ุนุฉ ูˆุจูŠุณูƒู† ุณูƒู† ุฏุงุฎู„ ููŠ ุงู„ุฌุงู…ุนุฉ ูˆููŠ ูƒูุณูŠุฑูŠุง
796
+
797
+ 200
798
+ 00:17:08,030 --> 00:17:12,010
799
+ ููŠ ุงู„ุฌุงู…ุนุฉ ูุจูŠุงูƒู„ ุจุฑุถู‡ ุฏุงุฎู„ ุงู„ุฌุงู…ุนุฉ ูู‡ู… ู‡ู†ุง ุนุงูŠุฒูŠู†
800
+
801
+ 201
802
+ 00:17:12,010 --> 00:17:17,810
803
+ ูŠุนุฑููˆุง ุงู„ meal plan ุนุฏุฏ ูˆุฌูŠุจุงุช ุงู„ุฃูƒู„ ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง
804
+
805
+ 202
806
+ 00:17:17,810 --> 00:17:23,450
807
+ ุงู„ุทุงู„ุจ ููŠ ุงู„ุฃุณุจูˆุน ู…ุน ุงู„ class standing ุงู„ู„ูŠ ู‡ูˆ ููŠ
808
+
809
+ 203
810
+ 00:17:23,450 --> 00:17:28,430
811
+ ุฃูŠ ุณู†ุฉูู…ุงุนุทูŠ ุงู„ู€ meal plan selected for 200
812
+
813
+ 204
814
+ 00:17:28,430 --> 00:17:32,570
815
+ students as shown below ูˆู…ุงุนุทูŠ class standing ูู‰
816
+
817
+ 205
818
+ 00:17:32,570 --> 00:17:36,590
819
+ freshmen ุงู„ู„ูŠ ู‡ู… ุงู„ุทู„ุงุจ ุงู„ุฌุฏุฏ ูŠุนู†ูŠ ุฏูˆู„ level one
820
+
821
+ 206
822
+ 00:17:36,590 --> 00:17:43,390
823
+ ุงู„ sophomore ุงู„ู„ูŠ ู‡ู… ุงู„ุณู†ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ junior ุงู„ุณู†ุฉ
824
+
825
+ 207
826
+ 00:17:43,390 --> 00:17:48,490
827
+ ุงู„ุชุงู„ุชุฉ ูˆ ุงู„ senior ุงู„ุณู†ุฉ ุงู„ุฑุงุจุนุฉ ู‡ูŠ ุงู„ุชู‚ุณูŠู…ุฉ ุงู„
828
+
829
+ 208
830
+ 00:17:48,490 --> 00:17:52,390
831
+ freshmenSophomore, Junior and Senior. Number of
832
+
833
+ 209
834
+ 00:17:52,390 --> 00:17:56,350
835
+ meals per week ุงู…ุง twenty per week ุงู„ู„ูŠ ู‡ู… ุจูŠุงุฎุฏูˆุง
836
+
837
+ 210
838
+ 00:17:56,350 --> 00:18:00,850
839
+ ูƒุงู…ู„ุงุชุŒ ู†ูุชุฑุถ ุฃูˆ ุจูŠุงุฎุฏูˆุง ten per week ุฃูˆ ู…ุงุจูŠุงุฎุฏูˆุด
840
+
841
+ 211
842
+ 00:18:00,850 --> 00:18:06,990
843
+ ุฎุงู„ุต ูˆู‡ุฐู‡ ุงู„ุฃุฑู‚ุงู… ู…ูˆุฌูˆุฏูŠู† ูˆุนุฒูŠุฒูŠ ู†ุนุฑู Are number
844
+
845
+ 212
846
+ 00:18:06,990 --> 00:18:12,030
847
+ of meals per week and class standing are
848
+
849
+ 213
850
+ 00:18:12,030 --> 00:18:16,330
851
+ independentุŸ ู‡ู„ ุงู„ุฃุชู†ูŠู† ู‡ุฏูˆู„ุŸindependent ูŠุนู†ูŠ
852
+
853
+ 214
854
+ 00:18:16,330 --> 00:18:19,970
855
+ ู…ุณุชุฎุฏูŠู† ุนู„ู‰ ุจุนุถ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุต ุฅูŠู‡ ุงู„ class
856
+
857
+ 215
858
+ 00:18:19,970 --> 00:18:23,310
859
+ standing ุฅูŠู‡ ู„ูˆ ุงู„ูˆุงุฌุจุงุช ู…ุงุจุชุฎุชู„ูุด ุนู† ุจุนุถู‡ุง ูŠุนู†ูŠ
860
+
861
+ 216
862
+ 00:18:23,310 --> 00:18:26,970
863
+ ุณูˆุงุก ูƒุงู† freshman ุฃูˆ sophomore ุฃูˆ junior ุฃูˆ senior
864
+
865
+ 217
866
+ 00:18:26,970 --> 00:18:32,110
867
+ number of meal plans not related ุฃูˆ related ุนู„ู‰
868
+
869
+ 218
870
+ 00:18:32,110 --> 00:18:35,990
871
+ ุญุณุจ ูุงุญู†ุง ุงู„ two variables ุญูƒูˆู† ุฅูŠุด they are
872
+
873
+ 219
874
+ 00:18:35,990 --> 00:18:40,830
875
+ independent ูŠุนู†ูŠ class standing and number of
876
+
877
+ 220
878
+ 00:18:40,830 --> 00:18:47,040
879
+ meals per week are independentุฅุฐุง ุงู„ู€ null ู‡ุฃูƒุชุจู‡ุง
880
+
881
+ 221
882
+ 00:18:47,040 --> 00:18:50,800
883
+ ูƒุงู„ุบุชุฉ ุทูŠุจ
884
+
885
+ 222
886
+ 00:18:50,800 --> 00:18:56,080
887
+ ุงู„ 24 ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ there are 24 students ุฃูˆ
888
+
889
+ 223
890
+ 00:18:56,080 --> 00:19:01,500
891
+ 24 freshmen students have 20 meals per week
892
+
893
+ 224
894
+ 00:19:01,500 --> 00:19:04,340
895
+ ุจูŠุงุฎุฏูˆุง 24 ูˆุงุฌุจุฉ ููŠ ุงู„ .. ุจูŠุงุฎุฏูˆุง 20 ูˆุงุฌุจุฉ ููŠ ุงู„
896
+
897
+ 225
898
+ 00:19:04,340 --> 00:19:09,240
899
+ .. ููŠ ุงู„ุณุจูˆุน ู…ุซู„ุง ุงู„ 10 ุงู„ู„ูŠ ู‡ู†ุง ุนุณู‰ ุจุงู„ู…ุซุงู„ ู…ุนู†ุงู‡
900
+
901
+ 226
902
+ 00:19:09,240 --> 00:19:14,640
903
+ ููŠ ุนู†ุฏูŠ 10 senior students has none meal ู…ุงุจูŠุงุฎุฏุด
904
+
905
+ 227
906
+ 00:19:14,640 --> 00:19:20,880
907
+ ูˆู„ุง ุญุงุฌุฉุทุจุนุง ุงู„ totals ุฏูˆู„ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ูุงู„
908
+
909
+ 228
910
+ 00:19:20,880 --> 00:19:24,100
911
+ hypothesis to be tested is meal plan and class
912
+
913
+ 229
914
+ 00:19:24,100 --> 00:19:27,420
915
+ standing are independent ู…ุงููŠุด ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุนุฏู„
916
+
917
+ 230
918
+ 00:19:27,420 --> 00:19:31,400
919
+ ูˆุงุฌุจุงุช ูˆู…ุณุชูˆู‰ ุงู„ุทุงู„ุจ ู…ุน ูƒุฏู‡ there is no
920
+
921
+ 231
922
+ 00:19:31,400 --> 00:19:33,860
923
+ relationship between them ุทุจ ู‡ุฐุง ุฅูŠุด ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ
924
+
925
+ 232
926
+ 00:19:33,860 --> 00:19:39,560
927
+ ุฅูŠุด ู…ุนู†ู‰ ู…ุงููŠุด ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู…ุŸ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุต
928
+
929
+ 233
930
+ 00:19:39,560 --> 00:19:42,460
931
+ ูƒุงู† ููŠ ุงู„ุณู†ุฉ ุงู„ุฃูˆู„ู‰ ูˆู„ุง ุชุงู†ูŠุฉ ูˆู„ุง ุชุงู„ุชุฉ ูˆู„ุง ุฑุงุจุนุฉ
932
+
933
+ 234
934
+ 00:19:42,460 --> 00:19:47,810
935
+ ู…ุด ู‡ูŠุณุฑ ุนุฏู„ ูˆุงุฌุจุงุช ุชุจู‚ู‰ู…ุง ู‡ูˆ ุจูŠู‚ุตุฏ ุจุงู„ุณุคุงู„ ู†ุงุญูŠุฉ
936
+
937
+ 235
938
+ 00:19:47,810 --> 00:19:52,310
939
+ ู†ูุณูŠุฉ ุฃูƒุชุฑ ู…ู†ู‡ุง ุฃูˆ ู†ุงุญูŠุฉ ุณู„ูˆูƒูŠุฉ ูŠุนู†ูŠ ู‡ู„ ุงู„ุทุงู„ุจ ุงู„
940
+
941
+ 236
942
+ 00:19:52,310 --> 00:19:56,350
943
+ freshman ุจูŠู…ูŠู„ ุฃู†ู‡ ูŠุงุฎุฏ ูˆุฌุจุงุชู‡ ููŠ ุงู„ cafeteria
944
+
945
+ 237
946
+ 00:19:56,350 --> 00:20:00,630
947
+ ุงู„ุฌุงู…ุนุฉ ุฃูƒุชุฑ ู…ู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุจูŠูƒูˆู† ููŠ ู…ุณุชูˆู‰ ุฑุงุจุน
948
+
949
+ 238
950
+ 00:20:00,630 --> 00:20:04,110
951
+ ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ููŠ ู…ุณุชูˆู‰ ุฑุงุจุน ุงู„ุทุงู„ุจ ุจูŠูƒูˆู† ูŠุนู†ูŠ ุนู†ุฏู‡
952
+
953
+ 239
954
+ 00:20:04,110 --> 00:20:08,650
955
+ ุฎุจุฑุฉ ูƒุงููŠุฉ ุนุงุฑู ุงู„ู…ู†ุทู‚ุฉ ูƒูˆูŠุณ ุจูŠุทู„ู‚ ูˆูŠู†ุฒู„ ูู…ู…ูƒู† ุนุฏุฏ
956
+
957
+ 240
958
+ 00:20:08,650 --> 00:20:13,590
959
+ ูˆุฌุจุงุชู‡ ุชู‚ู„ูู‡ูˆ ุจูŠุณุฃู„ ุงู„ุณุคุงู„ ู‡ุฐุง ู‡ู„ ุงู„ุทุงู„ุจ ุงู„ .. ุงู„
960
+
961
+ 241
962
+ 00:20:13,590 --> 00:20:17,270
963
+ .. ุงู„ freshman ุจูŠุฎุชู„ู ูˆ ู„ุง ุงู„ุฃุซู†ูŠู† ููŠ ุงู„ุดุฑุชุจุงุช ุฃูŠ
964
+
965
+ 242
966
+ 00:20:17,270 --> 00:20:21,690
967
+ ูƒุงู† ุงู„ุทุงู„ุจ freshman ูˆ ู„ุง senior ู…ู…ูƒู† ูŠุทู„ุน ุจุฑุง ุฒูŠ ูˆ
968
+
969
+ 243
970
+ 00:20:21,690 --> 00:20:25,570
971
+ ุฒูŠ ุงู„ senior ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ุงู„ุฌุฏูŠุฏ ู…ู…ูƒู† ูŠุทู„ุน
972
+
973
+ 244
974
+ 00:20:25,570 --> 00:20:28,950
975
+ ุจุฑุง ุฒูŠ ูˆ ุฒูŠ ุงู„ senior ุทุจุนุง ุงู„ result ุจุชูƒูˆู† ู…ู‡ู…ุฉ
976
+
977
+ 245
978
+ 00:20:28,950 --> 00:20:33,330
979
+ ุฌุฏุง ุจุงู„ุฐุงุช ู„ุชุจุงู†ุน ุงู„ุนู„ู… ุงู„ู†ูุณูŠ ูŠุนู†ูŠ ู‡ู„ ุงู„ุทุงู„ุจ
980
+
981
+ 246
982
+ 00:20:33,330 --> 00:20:38,090
983
+ ู…ุชุฃุซุฑ ู„ุณู‡ ุฌุฏูŠุฏ ูˆ ู„ุง ู…ุด ูุงุฑู‚ ู…ุนุงู‡ ุฒูŠ ูˆ ุฒูŠ ุงู„ู‚ุฏูŠู…ุŸ
984
+
985
+ 247
986
+ 00:20:38,090 --> 00:20:43,190
987
+ ู‡ู†ุดูˆู ุงู„ุฌูˆุงุจ ุงู„ู„ูŠ ู‡ูŠุทู„ุน ูˆ ุจู†ุงุก ุนู„ูŠู‡ ุจู†ู‚ุฑุฑุงู„ุชุฑู†ูŠุฉ
988
+
989
+ 248
990
+ 00:20:43,190 --> 00:20:46,490
991
+ ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ ู…ูŠู„ูŠ ุจู„ุงู† ูˆ class standings ู…ุณุชู‚ู„ูŠู† ู…ุน
992
+
993
+ 249
994
+ 00:20:46,490 --> 00:20:52,570
995
+ ูƒุฏู‡ ู‡ู†ุงูƒ ุนู„ุงู‚ุงุช ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ุณุจุจุฒ ู…ุซู„ุง ุณุจุจุฒ ูŠู†ุฌุญ
996
+
997
+ 250
998
+ 00:20:52,570 --> 00:20:59,730
999
+ ู…ู† ุงู„ู‡ูŠุจูˆุชูŠุณูŠุฒ ู„ูˆ ุญูƒูŠู†ุง reject ุงุชุฒูŠุฑูˆ ุงูŠุด ู…ุนู†ุงู‡ุŸ
1000
+
1001
+ 251
1002
+ 00:20:59,730 --> 00:21:02,450
1003
+ ู…ุนู†ุงู‡ ููŠ ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ูˆุงุฌุจุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ุงู„ุทุงู„ุจ
1004
+
1005
+ 252
1006
+ 00:21:02,450 --> 00:21:08,030
1007
+ ูˆ ุงู„ู…ุณุชูˆู‰ ุชุจุนู‡ ุทุจ ู‡ุฐุง ู…ุนู†ุงู‡ ุงูŠุดุŸุฅู†ู‡ ููŠ ุงุฎุชู„ุงู ููŠ
1008
+
1009
+ 253
1010
+ 00:21:08,030 --> 00:21:12,150
1011
+ ู†ุณุจ ุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ุจูŠุงุฎุฏูˆุง ุงู„ูˆุฌุจุงุช ุญุณุจ ู…ูŠู† ุงู„ู…ุณุชูˆู‰
1012
+
1013
+ 254
1014
+ 00:21:12,150 --> 00:21:18,270
1015
+ ุชุจุนู‡ู… ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ุณุชูˆู‰ ุงู„ุทุงู„ุจ ููŠ ุงู„ุฌุงู…ุนุฉ ุจูŠุฃุซุฑ
1016
+
1017
+ 255
1018
+ 00:21:18,270 --> 00:21:21,690
1019
+ ุนู„ู‰ ุนุฏุฏ ุงู„ูˆุฌุจุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ูู…ู…ูƒู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ููŠ
1020
+
1021
+ 256
1022
+ 00:21:21,690 --> 00:21:25,110
1023
+ ุงู„ senior ูŠุงุฎุฏ ุนุฏุฏ ุงู„ูˆุฌุจุงุช ู…ุฎุชู„ู ุนู† ุงู„ freshman
1024
+
1025
+ 257
1026
+ 00:21:25,110 --> 00:21:29,050
1027
+ ุชุจู‚ู‰ ูƒุฏู‡ ู„ูˆ ุชู… reject ุงู„ null hypothesis ู…ุน ูƒุฏู‡
1028
+
1029
+ 258
1030
+ 00:21:29,050 --> 00:21:32,350
1031
+ ุงู„ุทู„ุงุจ ู‡ุฏูˆู„ ุงู„ุฌุฏุฏ ุนู†ุฏู‡ู…
1032
+
1033
+ 259
1034
+ 00:21:34,160 --> 00:21:40,640
1035
+ ูŠุนู†ูŠ more freedom ุงูƒุชุฑ ูˆู„ุง ู„ุณู‡ ู…ุงุฒุงู„ูˆุง ู…ุชู‚ูˆู‚ุนูŠู†ุŸ
1036
+
1037
+ 260
1038
+ 00:21:40,640 --> 00:21:44,440
1039
+ ู„ูˆ ุชู… ..ุงู†ุชูˆุง ู…ุด ููŠู„ู… ู…ุด ุจุญูƒูŠ ุฎุงู„ุต ูˆู„ุง ููŠู„ู… ..ู…ุด
1040
+
1041
+ 261
1042
+ 00:21:44,440 --> 00:21:46,860
1043
+ ุจู‚ู‰ ..ุงู†ุชูˆุง ู…ุด ..ุงู†ุชูˆุง ู…ุด ..ุงู†ุชูˆุง ู…ุตูŠุฑูˆู†ูŠ ุญู„ ุงู„ุญุตุฉ
1044
+
1045
+ 262
1046
+ 00:21:46,860 --> 00:21:50,120
1047
+ ูˆ ุจุณ ุงู†ุง ุจุญูƒูŠ ู„ูˆ ุชู… rejected none of the bosses ู…ุน
1048
+
1049
+ 263
1050
+ 00:21:50,120 --> 00:21:53,520
1051
+ ูƒุฏู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ู…ุน ูƒุฏู‡ ุนุงุฏู„ ุงู„ุฅุฌุงุจุงุช ูŠุนุชู…ุฏ ุนู„ู‰
1052
+
1053
+ 264
1054
+ 00:21:53,520 --> 00:21:58,720
1055
+ ุงู„ุดุฎุต ุงู„ุฌุฏูŠุฏ ูˆู„ุง ุงู„ู„ูŠ ุนุงุฏู„ ุจูŠูƒูˆู†
1056
+
1057
+ 265
1058
+ 00:21:58,720 --> 00:22:03,040
1059
+ ุจูŠุฎุชู„ู ู…ุนู†ุงู‡ ูƒุฏู‡ ุงุฎุชู„ู ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ุทุงู„ุจ ุงู„ุฌุฏูŠุฏู„ุณู‡
1060
+
1061
+ 266
1062
+ 00:22:03,040 --> 00:22:06,460
1063
+ ู…ุด ู…ุชุนูˆุฏ ุนู„ู‰ ูˆุถุน ุงู„ุจู„ุฏ ูุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ูŠุงุฎุฏูˆุง ูˆุฌุจุงุช
1064
+
1065
+ 267
1066
+ 00:22:06,460 --> 00:22:11,780
1067
+ ุฃูƒุชุฑ ุฃูˆ ุฃู‚ู„ ุนู„ู‰ ุญุณุจ ู„ูˆ ุชู… we don't reject ู…ุน ูƒุฏู‡
1068
+
1069
+ 268
1070
+ 00:22:11,780 --> 00:22:14,540
1071
+ the two variables are independent ู…ุงููŠุด ุนู„ุงู‚ุฉ
1072
+
1073
+ 269
1074
+ 00:22:14,540 --> 00:22:17,620
1075
+ ุจูŠู†ู‡ู… ุจุตุฑู ุงู„ู†ุธุฑ ุทุงู„ุจ ุฌุฏูŠุฏ ูˆ ู„ุง ู…ุด ุฌุฏูŠุฏ ู‡ูˆ ุจูŠุทู„ุน
1076
+
1077
+ 270
1078
+ 00:22:17,620 --> 00:22:24,610
1079
+ ุฒูŠู‡ ุฒูŠ ุบูŠุฑู‡ ูˆุงุถุญุŸ ูู‡ู…ุชู‡ ุงู„ุฌุซุฉุŸ ุฎู„ูŠูƒ ุฃู‡ู„ ุงู„ุญุตุฉู‡ุฐู‡
1080
+
1081
+ 271
1082
+ 00:22:24,610 --> 00:22:27,810
1083
+ ุงู„ู…ู‚ุงู„ุฉ ู†ุณู…ูŠู‡ุง observed ู‡ุคู„ุงุก ุงู„ู„ูŠ ุงู†ุง ุทู„ุนุชู‡ู… ู…ู†
1084
+
1085
+ 272
1086
+ 00:22:27,810 --> 00:22:31,270
1087
+ ุงู„ data ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุด ู‡ูŠูƒ ู‡ุคู„ุงุก observed ุจูŠุทู„ุน ุงู„
1088
+
1089
+ 273
1090
+ 00:22:31,270 --> 00:22:36,290
1091
+ expected cell frequency if H0 is true ุงุฐุง ูƒุงู†ูˆุง
1092
+
1093
+ 274
1094
+ 00:22:36,290 --> 00:22:37,230
1095
+ ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง
1096
+
1097
+ 275
1098
+ 00:22:37,230 --> 00:22:38,650
1099
+ ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู†
1100
+
1101
+ 276
1102
+ 00:22:38,650 --> 00:22:39,510
1103
+ ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง
1104
+
1105
+ 277
1106
+ 00:22:39,510 --> 00:22:39,510
1107
+ ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง
1108
+
1109
+ 278
1110
+ 00:22:39,510 --> 00:22:40,190
1111
+ ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู†
1112
+
1113
+ 279
1114
+ 00:22:40,190 --> 00:22:40,650
1115
+ ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง
1116
+
1117
+ 280
1118
+ 00:22:40,650 --> 00:22:50,170
1119
+ ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุงุฐุง ูƒุงู†ูˆุง ู…ุณุชู‚ู„ูŠู† ุง
1120
+
1121
+ 281
1122
+ 00:22:53,930 --> 00:22:59,390
1123
+ ูู„ูˆ ุจุทู„ุน ู…ุซู„ุง ู„ู„ .. ู„ู„ junior ู‡ุฐู‡ ุงู„ุนุดุฑุฉ ู‡ุฐู‡
1124
+
1125
+ 282
1126
+ 00:22:59,390 --> 00:23:03,430
1127
+ ุงู„ุนุดุฑุฉ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ expected ู…ุธุจูˆุท for example
1128
+
1129
+ 283
1130
+ 00:23:03,430 --> 00:23:08,070
1131
+ ุฃู†ุง ู„ุงุฒู… ุฃุทู„ุนู‡ู… ู„ู„ูƒู„ ู„ูˆ ุจุทู„ุน ุงู„ุนุดุฑุฉ ุฅูŠุด ุงู„
1132
+
1133
+ 284
1134
+ 00:23:08,070 --> 00:23:15,770
1135
+ expected ู‡ุชุณุงูˆูŠุŸ ู‡ุช observe ุจุณ ูƒู„ ุจุทู„ุน ุนู„ูŠู‡ ุงู„ raw
1136
+
1137
+ 285
1138
+ 00:23:15,770 --> 00:23:22,010
1139
+ total ููŠ ุงู„ column total ุนู„ู‰ 200 ุฅุฐุง 30 ููŠ 70 ุนู„ู‰
1140
+
1141
+ 286
1142
+ 00:23:22,010 --> 00:23:22,270
1143
+ 200
1144
+
1145
+ 287
1146
+ 00:23:28,420 --> 00:23:34,840
1147
+ ุจุทู„ุน 10.5 ู‡ุฐู‡ ุงู„ู€ expected frequency ุจุณ I just
1148
+
1149
+ 288
1150
+ 00:23:34,840 --> 00:23:39,540
1151
+ choose one cell similarly for the other cells ูŠุนู†ูŠ
1152
+
1153
+ 289
1154
+ 00:23:39,540 --> 00:23:43,460
1155
+ for example to compute the expected frequency for
1156
+
1157
+ 290
1158
+ 00:23:43,460 --> 00:23:50,460
1159
+ 24 ู‡ุฐู‡ ุงู„ุฃูˆู„ ูˆุงุญุฏุฉ 24 ุงู„ expectation ุจุชุงุนู‡ุง ุงูŠุด
1160
+
1161
+ 291
1162
+ 00:23:50,460 --> 00:24:00,160
1163
+ ุจุณูˆูŠ ุงู„ raw 70 ุงู„ column ุฒูŠู‡200 ุฃูƒูŠุฏ ุงู„ุฌูˆุงุจ ู„ูˆ
1164
+
1165
+ 292
1166
+ 00:24:00,160 --> 00:24:07,360
1167
+ ุญุณุจุชู‡ 24.5 ุฃูƒุฏ
1168
+
1169
+ 293
1170
+ 00:24:07,360 --> 00:24:10,600
1171
+ ู…ุฑุฉ ู‡ุณุชุฎุฏู… ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ total, rototal,
1172
+
1173
+ 294
1174
+ 00:24:10,720 --> 00:24:16,520
1175
+ column total ุนู„ู‰ ุงู„ูƒู„ ู„ุญุธุฉุŒ ุนุฏุฏ ุงู„ cells column 12
1176
+
1177
+ 295
1178
+ 00:24:16,520 --> 00:24:23,120
1179
+ ู„ูƒู† ู‡ู„ ู‡ุชุทู„ุน ู„ู„ู€ 12 ููŠ ุงู„ู‚ุงู†ูˆู†ุŸ ุญูƒูŠู†ุง ููŠ ุงู„ุฃูˆู„ ุนุฏุฏ
1180
+
1181
+ 296
1182
+ 00:24:23,120 --> 00:24:26,500
1183
+ ู…ุฑุงุช ุงุณุชุฎุฏุงู…ูƒ ู„ู„ู‚ุงู†ูˆู† ุจุงู„ุณูˆุก degrees of freedom ุฑ
1184
+
1185
+ 297
1186
+ 00:24:26,500 --> 00:24:40,740
1187
+ minus oneุงู„ู€ R-1 ุงู„ู€ R4 ู…ุด ุจุทู„ุน ู„ูƒู† ุณุช ู…ุฑุงุช ูŠุนู†ูŠ
1188
+
1189
+ 298
1190
+ 00:24:40,740 --> 00:24:46,220
1191
+ ุฃู†ุง ู„ูˆ ุทู„ุนุช ุจุนู„ู…ูƒ ุนู„ู‰ ุงู„ู„ูŠ ู‡ุทู„ุญู‡ ุทู„ุนุช ุงู„ู€ 24.5
1192
+
1193
+ 299
1194
+ 00:24:46,220 --> 00:24:53,080
1195
+ ุทู„ุนุช ุงู„ู€ 30.8 ุงู„ู€
1196
+
1197
+ 300
1198
+ 00:24:53,080 --> 00:24:58,790
1199
+ 14 ูƒู… ู…ู…ูƒู† ุฃุทู„ุญู‡ุง ุฅู…ุง ุจุงู„ู‚ุงู†ูˆู† ุฃูˆุงู„ุณุจุนูŠู† ู†ู‚ุต
1200
+
1201
+ 301
1202
+ 00:24:58,790 --> 00:25:03,490
1203
+ ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ู…ุน ูƒุฏู‡ ู…ุด ู‡ุชุณุชุฎุฏู… ุงู„ู‚ุงู†ูˆู† ู‡ู†ุง ู‡ุฐู‡
1204
+
1205
+ 302
1206
+ 00:25:03,490 --> 00:25:09,350
1207
+ ู…ุฑุชูŠู† ุงู„ู„ูŠ ุจุนุฏู‡ ู„ุณู‡ ู„ุงุฒู… ุฃุทู„ุน ู‡ุฐู‡ ู‡ุฐู‡ ู‡ุชุทู„ุน ูˆู‡ุฐู‡
1208
+
1209
+ 303
1210
+ 00:25:09,350 --> 00:25:16,890
1211
+ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆู‡ุฐู‡ ู…ุงู„ู‡ุง ู†ุทุฑุญู‡ุง ู‡ุฐู‡ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆู‡ุฐู‡
1212
+
1213
+ 304
1214
+ 00:25:16,890 --> 00:25:24,650
1215
+ ู„ุงุฒู… ุฃุทู„ุนู‡ุง ูˆู‡ุฐู‡ ุจุงุทุฑุญู‡ุงุŒ ู…ุธุจูˆุทุŸ ุทุจ ุงู„ู„ูŠ ุชุญุช ู‡ุฐู‡
1216
+
1217
+ 305
1218
+ 00:25:24,650 --> 00:25:32,490
1219
+ ุงู„ุณุจุนูŠู† ู†ู‚ุต ู…ุฌู…ูˆุนุฉ ู‡ุฏูˆู„ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุฑู‚ู… ุงู„ 14
1220
+
1221
+ 306
1222
+ 00:25:32,490 --> 00:25:43,850
1223
+ ุงูŠุด ุจุชุณุงูˆูŠ ุงู„ 14 ุจุชุณุงูˆูŠ 70 ู†ุงู‚ุต 24.5 plus 20 plus
1224
+
1225
+ 307
1226
+ 00:25:43,850 --> 00:25:52,350
1227
+ 10.5 ุฃูƒูŠุฏ ู„ูˆ ุฌู…ุนุชู‡ู… 56
1228
+
1229
+ 308
1230
+ 00:25:52,350 --> 00:25:53,490
1231
+ ุจุทู„ุน 14
1232
+
1233
+ 309
1234
+ 00:25:56,380 --> 00:26:01,220
1235
+ ุจุงู„ุชุงู„ูŠ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐูŠ ุทู„ุนุช ุงู„ 14 ุนุฑูุช ูƒูŠู
1236
+
1237
+ 310
1238
+ 00:26:01,220 --> 00:26:08,920
1239
+ ู‡ุทู„ุญู‡ุง ูˆ ุงู„ 17.8 ู†ูุณ ุงู„ุดูŠุก 8 ูˆ 8 ู†ู‚ุต ู…ุฌู…ูˆุญ ู‡ุฐูˆู„
1240
+
1241
+ 311
1242
+ 00:26:08,920 --> 00:26:16,580
1243
+ ู‡ุทู„ุญ ู‡ุฐูŠ ุทุจ ูˆ ุงู„ 8 ูˆ 4 ุนู†ุฏ ุทุฑูŠู‚ุชูŠู† ุงู…ุง 40 ู†ู‚ุต ู‡ุฐูˆู„
1244
+
1245
+ 312
1246
+ 00:26:16,580 --> 00:26:23,160
1247
+ 40 ู†ู‚ุต ู‡ู†ุง ุทุจุนุง 8 ูˆ 4 ุงูˆ 42 ู†ู‚ุต ู‡ู†ุงู…ุน ูƒุฏู‡ ูƒู… ู…ุฑุฉ
1248
+
1249
+ 313
1250
+ 00:26:23,160 --> 00:26:27,020
1251
+ ุงุณุชุฎุฏู…ุช ุงู„ู‚ุงู†ูˆู†ุŸ ุณุช ู…ุฑุงุช ุงุฐุง degrees of freedom
1252
+
1253
+ 314
1254
+ 00:26:27,020 --> 00:26:35,020
1255
+ ุจูŠุณุงูˆูŠ number of using the formula ู†ุนู… ุงู„ู„ูŠ
1256
+
1257
+ 315
1258
+ 00:26:35,020 --> 00:26:42,740
1259
+ ู‡ู†ุง ู‡ุฐู‡ ุตุญูŠุญ
1260
+
1261
+ 316
1262
+ 00:26:42,740 --> 00:26:48,800
1263
+ ุจุณ ู‡ูˆ ูŠู„ุงุฒู… ุงู„ 14 ุฌู…ุน ุนุฑูู‡ ุจู‚ู‰ ุดูˆู .. ุฎู„ูŠู†ูŠ ุฃูู‡ู…
1264
+
1265
+ 317
1266
+ 00:26:48,800 --> 00:26:55,790
1267
+ degrees of freedomู„ู…ุง ูŠูƒูˆู† ุนู†ุฏู‰ R ุฑูˆ ุฃูƒู…
1268
+
1269
+ 318
1270
+ 00:26:55,790 --> 00:26:59,110
1271
+ ู…ุฑุฉ ุงู†ุช ุจุชูƒูˆู† ุญุฑ ุงุนุทูŠ ู‚ูŠู… ุฒู‰ ู…ุง ุงู†ุช ุนุงูŠุฒ ู…ุด ูƒู„ู‡ู…
1272
+
1273
+ 319
1274
+ 00:26:59,110 --> 00:27:05,070
1275
+ ุงู†ุง ุญุฑ ูู‰ R ู†ู‚ุต ูˆุงุญุฏ ู…ุธุจูˆุท ู„ู…ุง ูŠูƒูˆู† ุฃุฑุจุนุฉ ู‡ุฏูˆู„ ุฎุฏ
1276
+
1277
+ 320
1278
+ 00:27:05,070 --> 00:27:10,270
1279
+ ุฃูŠ ู‚ูŠู… ุจุณ ุงู„ุฃุฎูŠุฑุฉ ู…ุงู„ู‡ุง restricted ู„ู„ุณุจุนูŠู† ุฅู„ู‰ ู„ูˆ
1280
+
1281
+ 321
1282
+ 00:27:10,270 --> 00:27:14,450
1283
+ ุญูƒูŠุชู„ูƒ ูู‰ ุนู†ุฏู‰ ุฃุฑุจุน ุฃุฑู‚ุงู… ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุณุจุนูŠู† ู…ุน ูƒุฏู‡
1284
+
1285
+ 322
1286
+ 00:27:14,450 --> 00:27:20,850
1287
+ ุงู†ุง ุญุฑ ุงุฎุชุงุฑ ุฃูŠ ุชู„ุงุชุฉ ุฃุฑู‚ุงู… ุจุณ ุงู„ุฑุงุจุน ู…ุงู„ู‡ู…ู‚ูŠุฏ ุงู†
1288
+
1289
+ 323
1290
+ 00:27:20,850 --> 00:27:27,190
1291
+ ุงู†ุง ุงู„ู„ูŠ ุญูƒูŠุชู„ูƒ you have four choices to get
1292
+
1293
+ 324
1294
+ 00:27:27,190 --> 00:27:31,570
1295
+ seventy in this case you are free to select any ูƒู…
1296
+
1297
+ 325
1298
+ 00:27:31,570 --> 00:27:35,450
1299
+ ูˆุงุญุฏ ู…ู†ู‡ู… ุงูˆ ุงูŠ ุชู„ุงุชุฉ ุงูˆ any three of them ู…ู…ูƒู†
1300
+
1301
+ 326
1302
+ 00:27:35,450 --> 00:27:39,750
1303
+ ุงุฎุฏ ุงูŠ ู‚ูŠู… ู…ุด ู‡ูŠูƒ ู…ู…ูƒู† ุงุฎุฏ ุนุดุฑูŠู† ู…ู…ูƒู† ุงุฎุฏ ุฎู…ุณ ุนุดุฑ
1304
+
1305
+ 327
1306
+ 00:27:39,750 --> 00:27:45,380
1307
+ ู…ู…ูƒู† ุงุฎุฏ ุทู…ู†ุช ุนุดุฑ ุจุณ ุงู„ุฃุฎูŠุฑุฉ restrictedthe sum
1308
+
1309
+ 328
1310
+ 00:27:45,380 --> 00:27:48,100
1311
+ should be seventy ู…ุนู†ุงู‡ ูƒุฏู‡ ุงู„ degrees of freedom
1312
+
1313
+ 329
1314
+ 00:27:48,100 --> 00:27:53,980
1315
+ ู‡ู… ุฃุฑุจุนุฉ ู…ุธุจูˆุท ุฅุฐุง ุฃู†ุช ุญุฑุง ูƒู… ู…ุฑุฉ ุชู„ุช ู…ุฑุฉ ุงู„ู„ูŠ R
1316
+
1317
+ 330
1318
+ 00:27:53,980 --> 00:27:58,320
1319
+ ู†ุง๏ฟฝ๏ฟฝุต ูˆุงุญุฏ ุงู„ู„ูŠ ุฃุฑุจุนุฉ ู†ุงู‚ุต ูˆุงุญุฏ ุงู„ู„ูŠ ุชู„ุช ูุฎู„ุต ุฎู…ุณุฉ
1320
+
1321
+ 331
1322
+ 00:27:58,320 --> 00:28:03,360
1323
+ ูˆ ุชู„ุชูŠู† ุชู„ุชุฉ ูˆ ุฎู…ุณูŠู† ู‡ุฐุง ุณุจุนุชุงุด ุฅุฌุจุงุฑูŠ you have to
1324
+
1325
+ 332
1326
+ 00:28:03,360 --> 00:28:08,300
1327
+ have seventeen ู„ูƒู† ุญุฑ ู‚ุฏุงุด ุงู„ุชู„ุชุฉ ุงู„ุฃูˆู„ู‰ ู†ูุณ ุงู„ุดูŠุก
1328
+
1329
+ 333
1330
+ 00:28:08,300 --> 00:28:11,160
1331
+ ุจุงู„ู†ุณุจุงู„ูŠ ุงู„ column ู„ู…ุง ูƒู†ุช ุฏูŠ C column ุฒูŠ ู‡ูŠูƒ
1332
+
1333
+ 334
1334
+ 00:28:11,780 --> 00:28:15,660
1335
+ ู…ุฌู…ูˆุนู‡ู… 42 ุงู†ุชุญุงุฑ ููŠ ุฃูŠ ุชู„ุงุช ู‚ูŠู… ุจุณ ุงู„ุฑุงุจุน ู…ุงู„ู‡ุง
1336
+
1337
+ 335
1338
+ 00:28:15,660 --> 00:28:21,600
1339
+ ุฅุฌุจุงุฑูŠ ูุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ C-1 ุนุดุงู† ูƒุฏู‡ ุงู„ู€ use of
1340
+
1341
+ 336
1342
+ 00:28:21,600 --> 00:28:27,780
1343
+ freedom R-1 times C-1 make senseุŸ ุทูŠุจ ุงู„ู„ูŠ ู„ุงู†
1344
+
1345
+ 337
1346
+ 00:28:27,780 --> 00:28:33,360
1347
+ ุทู„ุนุชู‡ุง ุฏูˆู„ ุทุจุนุง ูˆุงุถุญ ุฃู†ู‡ุง ุจุชุงุฎุฏ ูˆู‚ุช ููŠ ุงู„ .. ููŠ ุงู„
1348
+
1349
+ 338
1350
+ 00:28:33,360 --> 00:28:36,960
1351
+ computations ุฃู†ุง ููŠ ุงู„ุงู†ุชุญุงุฑ ุจุนุทูŠูƒูŠ ุดุบู„ ุฃุจุณุท ู…ู†
1352
+
1353
+ 339
1354
+ 00:28:36,960 --> 00:28:37,180
1355
+ ู‡ูŠูƒ
1356
+
1357
+ 340
1358
+ 00:28:39,980 --> 00:28:44,000
1359
+ ูŠุนู†ูŠ ู…ุซู„ุง ุจุนุทูŠูƒ ุงู„ frequency expected frequency
1360
+
1361
+ 341
1362
+ 00:28:44,000 --> 00:28:50,520
1363
+ ู…ุนู„ูˆู… ุฃุบู„ุจู‡ ูˆ ุจุทู„ุจ ุฃู†ูƒ ุชุญุณุจ ู…ุซู„ุง ุงุชู†ูŠู† ู…ู†ู‡ู… ู…ุซู„ุง
1364
+
1365
+ 342
1366
+ 00:28:50,520 --> 00:28:57,200
1367
+ ุฃุบู„ุจู‡ ู…ุนู„ูˆู… ูˆ ุงุญุณุจ ุงุชู†ูŠู† ู…ู†ู‡ู… ูˆ ุงู„ุจุงู‚ู‰ ุฎู„ุงุต ูŠุนู†ูŠ
1368
+
1369
+ 343
1370
+ 00:28:57,200 --> 00:29:00,820
1371
+ ุงู…ุง ุจุนุทูŠูƒ ุงูŠุงู‡ู… ูŠุนู†ูŠ ุงูุถู„ ุงุนุทุงูƒ ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„
1372
+
1373
+ 344
1374
+ 00:29:00,820 --> 00:29:05,880
1375
+ ุชุญุณุจูŠู‡ู… ูˆ ู…ุนุทู‰ ู…ุนุงูƒ ุญุงุฌุฉ ุฒูŠ ูƒุฏู‡ ูƒู…ุงู† ุงุชู†ูŠู†
1376
+
1377
+ 345
1378
+ 00:29:09,410 --> 00:29:14,010
1379
+ ุฃูŠู‡ ุจุชุนุฑูุด ุชุฌู…ุน ุงู„ totalุŸ ุชุฌู…ุน ุงู„ 24 ุชุฌู…ุน ุงู„ 32 ูˆ
1380
+
1381
+ 346
1382
+ 00:29:14,010 --> 00:29:19,350
1383
+ ุงู„ 14 ุชุฌู…ุน ุงู„ 70 ุจู†ูุน
1384
+
1385
+ 347
1386
+ 00:29:19,350 --> 00:29:24,130
1387
+ ุฃุนุทูŠูƒ ุงู„ totalุŸ ุทูŠุจ ุฃุนุทูŠุชูƒ ุจุนุถ ุงู„ู‚ูŠุงู… ุฒูŠ ู‡ูŠูƒ ูˆ
1388
+
1389
+ 348
1390
+ 00:29:24,130 --> 00:29:27,350
1391
+ ุฃุญูƒูŠู„ูƒ ูƒุงู…ู„ุฉ ู‡ุชุนุฑู ุชูƒู…ู„ูŠู‡ู… ู…ุด ู‡ูŠูƒุŸ ู„ุฅู† ุฃู†ุง ู„ูˆ
1392
+
1393
+ 349
1394
+ 00:29:27,350 --> 00:29:31,790
1395
+ ุฃุนุฑูุช ู„ูˆ ู‡ุฐู‡ ู…ุนู„ูˆู…ุฉ ูˆ ู‡ุฐู‡ ู…ุนู„ูˆู…ุฉ ูˆ ู‡ุฐู‡ ุฃู†ุง ุญุณุจุชู‡ุง
1396
+
1397
+ 350
1398
+ 00:29:31,790 --> 00:29:36,910
1399
+ ุจู‚ุฏุฑ ุฃุทู„ู„ูŠ ู„ุชุญุช ูˆ ู‡ูƒุฐุง ูŠุนู†ูŠ ุฃุนุทูŠูƒ ู…ุนู„ูˆู…ุงุช ูƒุงูุฉ
1400
+
1401
+ 351
1402
+ 00:29:36,910 --> 00:29:46,520
1403
+ ุชุญู„ูŠ ุงู„ู…ุซู„ูˆุชุญุณุจ ุจุงู„ุญุฏ ุงู„ุฃุฏู†ู‰ ุฃูˆ
1404
+
1405
+ 352
1406
+ 00:29:46,520 --> 00:29:52,400
1407
+ ุฃุญูŠุงู†ู‹ุง ู…ู…ูƒู† ุฃุฑูŠุญูƒ ุฃุนุทูŠูƒ ูŠูˆู… ูƒู„ู‡ู… ุฃูˆ
1408
+
1409
+ 353
1410
+ 00:29:52,400 --> 00:29:54,640
1411
+ ุฎู„ูŠูƒ ุชุญุณุจ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ู„ูŠ ู‡ูŠ ุจุชุทู„ุน ุงู„ case score
1412
+
1413
+ 354
1414
+ 00:29:54,640 --> 00:30:01,280
1415
+ ุงู„ statistic ุงู„ู‚ุงู†ูˆู† ู‡ูŠ ุงู„ summation ุงู„
1416
+
1417
+ 355
1418
+ 00:30:01,280 --> 00:30:06,360
1419
+ observed ู‡ูˆ 84 ุฃูˆู„ ูˆุงุญุฏุฉู‡ุงูŠ sum observed minus
1420
+
1421
+ 356
1422
+ 00:30:06,360 --> 00:30:11,480
1423
+ expected unexpected ู‡ุฐูŠ ุงู„ all cells ู„ูƒู„ ุงู„ cells
1424
+
1425
+ 357
1426
+ 00:30:11,480 --> 00:30:20,060
1427
+ ูุจุงุฎุฏ cell by cell number one is 24 minus ุจุฑุฌุน ุงู„
1428
+
1429
+ 358
1430
+ 00:30:20,060 --> 00:30:25,400
1431
+ expected ุฃู†ุง ุญุณุจุชู‡ ุทุจุนุง matching first cell versus
1432
+
1433
+ 359
1434
+ 00:30:25,400 --> 00:30:33,120
1435
+ one one row one column one 24.5 squared
1436
+
1437
+ 360
1438
+ 00:30:37,880 --> 00:30:45,140
1439
+ ุงู„ุซุงู†ูŠุฉ 32-30
1440
+
1441
+ 361
1442
+ 00:30:45,140 --> 00:30:50,740
1443
+ .8 ุงู‡
1444
+
1445
+ 362
1446
+ 00:30:50,740 --> 00:31:00,400
1447
+ ุฎู„ุงุต ูˆ ุจูƒู…ู„ ู„ู„ุงุฎุฑ ู„ุฃุณู„ ุงู„ู„ูŠ ู‡ูŠ 10-8
1448
+
1449
+ 363
1450
+ 00:31:06,120 --> 00:31:11,500
1451
+ ูˆุงุถุญ ุงู„ุฏูˆุดุฉ ููŠ ุงู„ู€ calculations ุจุณ ูˆุทู„ุน ุงู„ู€ job
1452
+
1453
+ 364
1454
+ 00:31:11,500 --> 00:31:20,660
1455
+ point 0.709 ุฅุฐุง ุทู„ุนุช ูƒุงูŠ ุณูƒูˆูŠุฑ ุงู„ู€ statistic ุงู„ู„ูŠ
1456
+
1457
+ 365
1458
+ 00:31:20,660 --> 00:31:27,440
1459
+ ู„ุงุฒู… ุฃุทู„ุน ู…ูŠู†ุŸ ุงู„ู€ Kยฒ Alpha ุงู„ู„ูŠ ูŠุนู…ู„ ูƒุงูŠ ุณูƒูˆูŠุฑ
1460
+
1461
+ 366
1462
+ 00:31:27,440 --> 00:31:34,000
1463
+ ุชุงุจู„ ุทุจุนุง ุงู„ู€ Kยฒ ุญูƒูŠู†ุง ุนู†ู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ right
1464
+
1465
+ 367
1466
+ 00:31:34,000 --> 00:31:40,030
1467
+ skewedุงู„ุงู† ุจุงู„ู†ุณุจุฉ ู„ู€ degrees of freedom ุงู„ู…ุญุฏุฏุฉ 6
1468
+
1469
+ 368
1470
+ 00:31:40,030 --> 00:31:44,490
1471
+ % ูˆ alpha 5%
1472
+
1473
+ 369
1474
+ 00:32:08,910 --> 00:32:16,410
1475
+ ุฃูˆู„ ุฎุทูˆุฉ ู…ูˆุฌู‡ุฉ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ 6 ุฃู„ู
1476
+
1477
+ 370
1478
+ 00:32:16,410 --> 00:32:21,530
1479
+ ู‡ูˆ 5% ุงู„ู…ุชู‚ุงุจู„
1480
+
1481
+ 371
1482
+ 00:32:21,530 --> 00:32:27,610
1483
+ ุจูŠู† ุฑูˆ 6 ูˆุฎุทูˆุฉ 5% ู‡ูŠ ู‚ูŠู…ุฉ ูƒุงูŠ ุฃูƒุชุฑ
1484
+
1485
+ 372
1486
+ 00:32:32,940 --> 00:32:38,460
1487
+ 12.56 ุงูˆ
1488
+
1489
+ 373
1490
+ 00:32:38,460 --> 00:32:43,800
1491
+ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12
1492
+
1493
+ 374
1494
+ 00:32:43,800 --> 00:32:44,800
1495
+ .6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6
1496
+
1497
+ 375
1498
+ 00:32:44,800 --> 00:32:46,280
1499
+ ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ
1500
+
1501
+ 376
1502
+ 00:32:46,280 --> 00:32:46,280
1503
+ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12
1504
+
1505
+ 377
1506
+ 00:32:46,280 --> 00:32:46,280
1507
+ .6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6
1508
+
1509
+ 378
1510
+ 00:32:46,280 --> 00:32:46,340
1511
+ ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ
1512
+
1513
+ 379
1514
+ 00:32:46,340 --> 00:32:52,300
1515
+ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ 12.6 ุงูˆ
1516
+
1517
+ 380
1518
+ 00:32:52,300 --> 00:33:02,000
1519
+ 12.6 ุงูˆ 12.6 ุง๏ฟฝ๏ฟฝูˆ ู‚ูŠู…ุฉ 0.709 ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ
1520
+
1521
+ 381
1522
+ 00:33:02,000 --> 00:33:04,820
1523
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1524
+
1525
+ 382
1526
+ 00:33:04,820 --> 00:33:05,860
1527
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1528
+
1529
+ 383
1530
+ 00:33:05,860 --> 00:33:10,360
1531
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1532
+
1533
+ 384
1534
+ 00:33:10,360 --> 00:33:10,840
1535
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1536
+
1537
+ 385
1538
+ 00:33:10,840 --> 00:33:10,840
1539
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1540
+
1541
+ 386
1542
+ 00:33:10,840 --> 00:33:13,660
1543
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1544
+
1545
+ 387
1546
+ 00:33:13,660 --> 00:33:14,360
1547
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1548
+
1549
+ 388
1550
+ 00:33:14,360 --> 00:33:14,360
1551
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1552
+
1553
+ 389
1554
+ 00:33:14,360 --> 00:33:16,960
1555
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1556
+
1557
+ 390
1558
+ 00:33:16,960 --> 00:33:17,060
1559
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑูŠุฉ
1560
+
1561
+ 391
1562
+ 00:33:17,060 --> 00:33:26,300
1563
+ ุงู„ุชุฌุงุฑูŠุฉ ุงู„ุชุฌุงุฑ
1564
+
1565
+ 392
1566
+ 00:33:27,030 --> 00:33:29,950
1567
+ ูˆู„ุง don't reject ูˆู„ุง don't reject ู…ุนู†ุงู‡ ูƒุฏู‡ there
1568
+
1569
+ 393
1570
+ 00:33:29,950 --> 00:33:36,110
1571
+ is ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุทู„ุน ู…ุงููŠุด relationship ู…ุนู†ุงู‡ there
1572
+
1573
+ 394
1574
+ 00:33:36,110 --> 00:33:40,090
1575
+ is not sufficient evidence that the meal plan and
1576
+
1577
+ 395
1578
+ 00:33:40,090 --> 00:33:43,750
1579
+ class standing are related ู…ุนู†ุงู‡ ู…ุงููŠุด ุนู†ุฏ ู‡ุฐูŠู†
1580
+
1581
+ 396
1582
+ 00:33:43,750 --> 00:33:46,430
1583
+ ุงู„ู„ูŠ ุชุฏุนูŠ ุฃู†ู‡ู… ู…ุฑุชุจุทูŠู† ู…ุน ุจุนุถ ู…ุน ูƒุฏู‡ ู…ุง ู„ู‡ู…
1584
+
1585
+ 397
1586
+ 00:33:46,430 --> 00:33:52,250
1587
+ ู…ุณุชู‚ู„ูŠู† ุนู† ุจุนุถ ูŠุนู†ูŠ ุจุตุฑู ุงู„ู†ุธุฑ ุงู„ุดุฎุตSophomore ูˆ ู„ุง
1588
+
1589
+ 398
1590
+ 00:33:52,250 --> 00:33:55,290
1591
+ Junior ูˆ ู„ุง Senior ูˆ ู„ุง Freshman ู…ุด ู‡ุฃุซุฑ ุนู„ู‰
1592
+
1593
+ 399
1594
+ 00:33:55,290 --> 00:33:58,090
1595
+ number of meals ุงู„ู„ูŠ ู‡ูˆ ุจูŠุงุฎุฏู‡ุง ููŠ ุงู„ุงุณุจูˆุน ู…ุน ูƒุฏู‡
1596
+
1597
+ 400
1598
+ 00:33:58,090 --> 00:34:05,610
1599
+ ุงู„ุทุงู„ุจ ู…ุงู„ู‡ ูŠุนู†ูŠ ุฃุซุฑ ุนู„ูŠู‡ ุงู„ูˆุถุน ุชุจุนู‡ ูˆ ู„ุง ู…ู†ูุชุงุญ
1600
+
1601
+ 401
1602
+ 00:34:05,610 --> 00:34:12,830
1603
+ ู‡ูˆ ู…ุด ูุงุฑู‚ุฉ ู…ุนุงู‡ ุฒูŠู‡ ูˆ ุฒูŠ ุบูŠุฑู‡ ูˆุงุถุญุŸ
1604
+
1605
+ 402
1606
+ 00:34:12,830 --> 00:34:20,310
1607
+ ู‡ุฐุง ูƒุงู† ุฃุฎุฑ ุญุงุฌุฉ ููŠ ุฃูŠ ุณุคุงู„ any question
1608
+
1609
+ 403
1610
+ 00:34:23,090 --> 00:34:25,470
1611
+ So next time Inshallah I will give practice
1612
+
1613
+ 404
1614
+ 00:34:25,470 --> 00:34:27,250
1615
+ session for chapter 11
1616
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/gmoQk3BAmdM.srt ADDED
@@ -0,0 +1,1964 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:23,950
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ will give
4
+
5
+ 2
6
+ 00:00:23,950 --> 00:00:29,590
7
+ practice problems for chapter 9 some of these
8
+
9
+ 3
10
+ 00:00:29,590 --> 00:00:35,690
11
+ problems are short answers the others are multiple
12
+
13
+ 4
14
+ 00:00:35,690 --> 00:00:40,550
15
+ choice let's start with the first question short
16
+
17
+ 5
18
+ 00:00:40,550 --> 00:00:45,310
19
+ answer write the word or phrase that best
20
+
21
+ 6
22
+ 00:00:45,310 --> 00:00:48,390
23
+ completes each statement or answers the question
24
+
25
+ 7
26
+ 00:00:52,040 --> 00:00:57,560
27
+ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ู‡ูˆ
28
+
29
+ 8
30
+ 00:00:57,560 --> 00:01:03,920
31
+ ู…ุง ูŠุณู…ู‰ ู‚ูŠู…ุฉ ุชู‚ุฑุฑ ู…ุฌุชู…ุน ู…ู† ู…ุฌุชู…ุน ุบูŠุฑ ู…ุฌุชู…ุน ู‡ุฐุง
32
+
33
+ 9
34
+ 00:01:03,920 --> 00:01:09,500
35
+ ุงู„ู…ูู‡ูˆู… ุงู„ู„ูŠ ุฃุฎุฐู†ุง ู‡ูˆ ู‚ูŠู…ุฉ critical ู‡ู„ ุชุชุฐูƒุฑูŠู† ุฃู†ู†ุง
36
+
37
+ 10
38
+ 00:01:09,500 --> 00:01:14,160
39
+ ูƒู†ุง ู†ุญูƒูŠ ุนู† ู‚ูŠู…ุฉ
40
+
41
+ 11
42
+ 00:01:14,160 --> 00:01:15,380
43
+ criticalุŸ
44
+
45
+ 12
46
+ 00:01:21,000 --> 00:01:26,080
47
+ ูˆู‡ุฐุง ุงู„ุชุงู†ูŠ critical value ู‡ุฐุง ุณู…ูŠู†ุงู‡ rejection
48
+
49
+ 13
50
+ 00:01:26,080 --> 00:01:32,000
51
+ region ูˆุงู„ู€ right rejection ูˆุงู„ููŠ ุงู„ู†ุต non
52
+
53
+ 14
54
+ 00:01:32,000 --> 00:01:36,580
55
+ rejection ูู‡ูˆ
56
+
57
+ 15
58
+ 00:01:36,580 --> 00:01:40,980
59
+ ุจูŠุญูƒูŠ ุงู„ู€ value ุงู„ู€ separates ุงู„ู„ูŠ ุจุชูุตู„ rejection
60
+
61
+ 16
62
+ 00:01:40,980 --> 00:01:44,460
63
+ region from non rejection ุงู„ู„ูŠ ุจุชูุตู„ ุงู„ rejection
64
+
65
+ 17
66
+ 00:01:44,460 --> 00:01:47,440
67
+ ุนู† ุงู„ู€ non rejection ุงู„ู€ critical values ูุงู„ุฌูˆุงุจ
68
+
69
+ 18
70
+ 00:01:47,440 --> 00:01:52,190
71
+ ุนุจุงุฑุฉ ุนู† ุงู„ู€ critical values ุงู„ู€ Multiple choice
72
+
73
+ 19
74
+ 00:01:52,190 --> 00:01:58,370
75
+ ุจูŠุณุฃู„ ุชุฎุชุงุฑ ุฅุญุฏู‰ ุงู„ุงุณุชุฎุฏุงู…ุงุช ุงู„ุชูŠ ุชูƒู…ู„ ุฃูุถู„ ู‚ุตุฉ ุฃูˆ
76
+
77
+ 20
78
+ 00:01:58,370 --> 00:02:02,390
79
+ ุฅุฌุงุจุฉ ุงู„ุณุคุงู„ ุฅุนุทุงุก
80
+
81
+ 21
82
+ 00:02:02,390 --> 00:02:04,950
83
+ true ุฃูˆ false ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
84
+
85
+ 22
86
+ 00:02:04,950 --> 00:02:06,810
87
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
88
+
89
+ 23
90
+ 00:02:06,810 --> 00:02:07,450
91
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
92
+
93
+ 24
94
+ 00:02:07,450 --> 00:02:08,390
95
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
96
+
97
+ 25
98
+ 00:02:08,390 --> 00:02:08,410
99
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
100
+
101
+ 26
102
+ 00:02:08,410 --> 00:02:08,430
103
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
104
+
105
+ 27
106
+ 00:02:08,430 --> 00:02:11,750
107
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ
108
+
109
+ 28
110
+ 00:02:11,750 --> 00:02:19,350
111
+ ู…ุฎุชู„ูุฉ
112
+
113
+ 29
114
+ 00:02:19,350 --> 00:02:20,570
115
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุช
116
+
117
+ 30
118
+ 00:02:24,010 --> 00:02:29,270
119
+ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุชุงู„ูŠุฉ ูŠุฌุจ ุฃู† ุชุชู†ู‚ู„ ุฅุฐุง ูƒุงู†ุช ู…ุฑุญู„ุฉ
120
+
121
+ 31
122
+ 00:02:29,270 --> 00:02:42,390
123
+ ุงู„ูˆุถุน ู…ู‡ู…ุฉ 0.01 ุฅุนุทุงุก ุฃู„ูุฉ 1% ูˆ 2 ุชู„ุชุณ ุงุณุชุฎุฏู…ุช ุจุญูƒูŠ
124
+
125
+ 32
126
+ 00:02:42,390 --> 00:02:45,450
127
+ ุงู„ู€ null ูŠุฌุจ ุฃู† ุชุชู†ู‚ู„ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ yes or no
128
+
129
+ 33
130
+ 00:02:48,880 --> 00:02:52,240
131
+ ุนู† ุทุฑูŠู‚ ุซุงู†ูŠ ู…ุง ุจุทู„ุน ุงู„ู€ critical value ุฃูˆ ุงู„ู€ b
132
+
133
+ 34
134
+ 00:02:52,240 --> 00:02:56,000
135
+ value ูุฎู„ู†ุง ู†ุทู„ุน ุงู„ู€ critical value ู‡ูˆ ุญูƒุงูŠุฉ ู„ู„ two
136
+
137
+ 35
138
+ 00:02:56,000 --> 00:03:01,080
139
+ -tailed ู…ุธุจูˆุท ุงู„ู€ two-tailed ูŠุนู†ูŠ ูˆุงุญุฏ right ูˆุงุญุฏ
140
+
141
+ 36
142
+ 00:03:01,080 --> 00:03:05,440
143
+ left ุงู„ู€ rejection regions ุงู„ู€ alpha ุงูŠุด ุจุชุณุงูˆูŠ one
144
+
145
+ 37
146
+ 00:03:05,440 --> 00:03:12,360
147
+ percent ู…ุธุจูˆุท ู‡ู†ุง ุจูƒูˆู† alpha over two ูŠุนู†ูŠ point
148
+
149
+ 38
150
+ 00:03:12,360 --> 00:03:17,730
151
+ zero one ุนู„ู‰ ุงุซู†ูŠู† ุงูŠุด ุจุชุณุงูˆูŠ zero zero five ู…ุธุจูˆุท
152
+
153
+ 39
154
+ 00:03:17,730 --> 00:03:20,810
155
+ ูˆุนุงู„ุฃุฎุจุท point zero one ุนู„ู‰ ุงุซู†ูŠู† point zero zero
156
+
157
+ 40
158
+ 00:03:20,810 --> 00:03:27,030
159
+ five ูˆุงู„ู€ area ุงู„ุซุงู†ูŠุฉ ู†ูุณู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุจุฑุถู‡ zero
160
+
161
+ 41
162
+ 00:03:27,030 --> 00:03:29,810
163
+ zero five ูุทู„ุน two areas ูˆุงุญุฏุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„
164
+
165
+ 42
166
+ 00:03:29,810 --> 00:03:33,690
167
+ critical value ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆุงู„ุดู€ู…ุงู„ ู„ู…ุง ูƒู†ุช ููŠู‡
168
+
169
+ 43
170
+ 00:03:33,690 --> 00:03:40,330
171
+ ุงุซู†ูŠู† ู‡ุฐุง ุฃูƒุจุฑ ู…ู†ู‡ุง ุจุฎู…ุณุฉ ู…ู† ุงู„ุฃู„ู ูˆู‡ุฐุง ุฃู‚ู„ ู…ู†ู‡ุง
172
+
173
+ 44
174
+ 00:03:40,330 --> 00:03:46,920
175
+ ุจุฎู…ุณุฉ ู…ู† ุงู„ุฃู„ู ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ุฅุฌุงุจุฉ ุฃู†ุชู
176
+
177
+ 45
178
+ 00:03:46,920 --> 00:03:52,180
179
+ ุงู„ู„ูŠ ุฑุงูŠุญูƒ ู„ูˆ ุฃุฎุฐุช ุงู„ุดู…ุงู„ ุนู„ู‰ ุทูˆู„ ุฌุงู‡ุฒุฉ ู…ุธุจูˆุท ุฃูˆ
180
+
181
+ 46
182
+ 00:03:52,180 --> 00:03:55,520
183
+ ู…ู…ูƒู† ุฃุฎุฐ ุงู„ูŠู…ูŠู† ุจุณ ุงู„ูŠู…ูŠู† ุนุดุงู† ู‡ูŠูƒูˆู† ุนู„ู‰ ุดู…ุงู„ู‡ุง ุฌุฏุงุด
184
+
185
+ 47
186
+ 00:03:55,520 --> 00:04:01,160
187
+ ุขู‡ ุงู„ู„ูŠ ุจูŠุณูŠุจ point nine nine five ูู„ุงู† ู‡ุทู„ุนู„ูƒ ุนู„ู‰
188
+
189
+ 48
190
+ 00:04:01,160 --> 00:04:05,860
191
+ ุงู„ุญู„ ุจุงู„ุทุฑูŠู‚ ุซุงู†ูŠ ููŠ ุงู„ุฃูˆู„ ุงู„ู€ Z table ู‡ุฐุง ุงู„
192
+
193
+ 49
194
+ 00:04:05,860 --> 00:04:10,500
195
+ negative ู…ุธุจูˆุท ุทู„ุน ุงู„ู€ negative ุจุฏูˆุฑ ุนู„ู‰ ู…ูŠู† ุนู„ู‰
196
+
197
+ 50
198
+ 00:04:10,500 --> 00:04:14,720
199
+ point zero zero five ุงู„ู€ zero zero five one ู…ูˆ๏ฟฝ๏ฟฝูˆุฏุฉ
200
+
201
+ 51
202
+ 00:04:14,720 --> 00:04:20,290
203
+ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฃูƒุซุฑู‡ุง ู‡ู… ู„ุญุธุฉ ููŠ ุนู†ุฏูŠ
204
+
205
+ 52
206
+ 00:04:20,290 --> 00:04:27,910
207
+ ุซู„ุงุซ ู‚ูŠู… 005 ู…ุธุจูˆุท ุซู„ุงุซ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุซู„ุงุซ ู‚ูŠู… ู‡ูŠ ู…ู† ุชุญุช
208
+
209
+ 53
210
+ 00:04:27,910 --> 00:04:32,430
211
+ ูˆุงุญุฏ ุงุซู†ูŠู† ุซู„ุงุซ ุฒูŠ ุจุนุถ ูุงู„ุฌูˆุงุจ ุฎุฏ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฎุฏ
212
+
213
+ 54
214
+ 00:04:32,430 --> 00:04:39,550
215
+ ุฃูˆู„ ูˆุงุญุฏุฉ ูุจุชุทู„ุน negative three point three ุงูŠุด
216
+
217
+ 55
218
+ 00:04:39,550 --> 00:04:46,550
219
+ ุงู„ุซุงู†ูŠ ู‡ุชูƒูˆู† ุงู„ุซุงู†ูŠ ุงูŠุด ู‡ุชูƒูˆู† ุฒูŠู‡ุง ู…ุด ู‡ูŠูƒุฒูŠ ุงู„ู€
220
+
221
+ 56
222
+ 00:04:46,550 --> 00:04:50,850
223
+ negative 3.3 ุงุซู†ูŠู† ุฒูŠู‡ุง ุฃูˆ ู„ูˆ ู…ุง ุญุจูŠุชูŠุด ุฒูŠู‡ุง ุทุงู„ุน ุนู„ู‰
224
+
225
+ 57
226
+ 00:04:50,850 --> 00:04:55,330
227
+ point 995 ู„ุญุธุฉ
228
+
229
+ 58
230
+ 00:04:55,330 --> 00:05:00,590
231
+ 995 ุจุฑุถู‡ ุซู„ุงุซ ูˆุงุญุฏุฉ ุฒูŠู‡ู… ุจุงู„ุธุจุท ู…ุธุจูˆุท ูุงู„ุฌูˆุงุจ ู‡ูˆ
232
+
233
+ 59
234
+ 00:05:00,590 --> 00:05:07,710
235
+ ู†ูุณู‡ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุงู‹ 3.3 ุงู„ุขู† is the value of this
236
+
237
+ 60
238
+ 00:05:07,710 --> 00:05:12,530
239
+ statistic this one fall in the rejection region ุงู„
240
+
241
+ 61
242
+ 00:05:12,530 --> 00:05:17,590
243
+ rejection ุฃู…ุง ุชูƒูˆู† greater than 3.3 ุฃูˆ less than
244
+
245
+ 62
246
+ 00:05:17,590 --> 00:05:23,450
247
+ negative 3.3 now just ask yourself is a value of 2
248
+
249
+ 63
250
+ 00:05:23,450 --> 00:05:28,570
251
+ .4 fall in this rejection region or not ูˆุงุถุญ ู„ุฃ
252
+
253
+ 64
254
+ 00:05:28,570 --> 00:05:35,130
255
+ ูˆุงุถุญ ุญุฏ ููŠ ุงู„ู€ non rejection region ุฅุฐุง ู†ุญู† ู„ุง
256
+
257
+ 65
258
+ 00:05:35,130 --> 00:05:38,890
259
+ ู†ุชูุฑุฌ ุนู„ู‰ ุงู„ู€ hypothesis ู…ุธุจูˆุท ู†ุญู† ู„ุง ู†ุชูุฑุฌ ู‡ูˆ ุงูŠุด
260
+
261
+ 66
262
+ 00:05:38,890 --> 00:05:44,210
263
+ ุญูƒู‰ ููŠ ุงู„ู€ .. ุญูƒู‰ reject ูˆู…ุน ูƒุฏู‡ ู‚ุฑุงุฑู‡ ู…ุง ู„ู‡ ู‚ุฑุงุฑู‡
264
+
265
+ 67
266
+ 00:05:44,210 --> 00:05:51,780
267
+ ู…ุด ุตุญูŠ ุฅุฐุง ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ุณุคุงู„ ุงู„ุฃูˆู„ ุฅุฐุง
268
+
269
+ 68
270
+ 00:05:51,780 --> 00:05:55,240
271
+ ุงู„ู€ true answer is false ู‡ูˆ ู„ุฃู†ู‡ ุญูƒู‰ Donald should
272
+
273
+ 69
274
+ 00:05:55,240 --> 00:06:00,400
275
+ be rejected ู„ุฃ ู…ุด rejected ุฎู„ุงุต ุฅุฐุง ุงู„ู€ part ุณุคุงู„
276
+
277
+ 70
278
+ 00:06:00,400 --> 00:06:09,480
279
+ ุงุซู†ูŠู† ุฌูˆุงุจู‡ ุจูŠู‡ ู†ุดูˆู ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ
280
+
281
+ 71
282
+ 00:06:09,480 --> 00:06:10,320
283
+ ุจุนุฏู‡ ุจุญูƒูŠ ุงู„ู‚ุงุชู„
284
+
285
+ 72
286
+ 00:06:20,900 --> 00:06:25,080
287
+ an appliance manufacturer claims to have
288
+
289
+ 73
290
+ 00:06:25,080 --> 00:06:30,420
291
+ developed a compact microwave oven that consumes a
292
+
293
+ 74
294
+ 00:06:30,420 --> 00:06:34,600
295
+ mean of no more than two hundred and fifty watt no
296
+
297
+ 75
298
+ 00:06:34,600 --> 00:06:40,400
299
+ more than ูŠุนู†ูŠ
300
+
301
+ 76
302
+ 00:06:40,400 --> 00:06:47,040
303
+ ู…ุด ุฃูƒุซุฑ ู…ู† ูŠุนู†ูŠ ุงูŠุด ุฃู‚ู„ ุฃูˆ ูŠุณุงูˆูŠ ู…ุธุจูˆุท ู…ุง ู‡ูŠ ู…ุนู†ู‰
304
+
305
+ 77
306
+ 00:06:47,040 --> 00:06:49,040
307
+ ู†ูƒุชุจ ู‡ูŠูƒ no more
308
+
309
+ 78
310
+ 00:06:53,690 --> 00:06:57,970
311
+ 250 ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
312
+
313
+ 79
314
+ 00:06:57,970 --> 00:07:02,750
315
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
316
+
317
+ 80
318
+ 00:07:02,750 --> 00:07:04,250
319
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
320
+
321
+ 81
322
+ 00:07:04,250 --> 00:07:06,990
323
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
324
+
325
+ 82
326
+ 00:07:06,990 --> 00:07:19,110
327
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
328
+
329
+ 83
330
+ 00:07:19,110 --> 00:07:22,890
331
+ ุฏู‚
332
+
333
+ 84
334
+ 00:07:25,060 --> 00:07:28,920
335
+ ุทูŠุจ ู†ูƒู…ู„ they take a sample of twenty microwave
336
+
337
+ 85
338
+ 00:07:28,920 --> 00:07:38,260
339
+ ุฃุฎุฏ twenty microwave ู„ุญุธุฉ from previous studies ุงู„
340
+
341
+ 86
342
+ 00:07:38,260 --> 00:07:43,480
343
+ population of patients fifteen ูŠุนู†ูŠ head is given
344
+
345
+ 87
346
+ 00:07:43,480 --> 00:07:47,760
347
+ is known ุฏู‡ ุฑูƒุฒ ู„ุฅู† ููŠ ุนู†ุฏูŠ two scenarios sigma
348
+
349
+ 88
350
+ 00:07:47,760 --> 00:07:54,120
351
+ known or unknown ูƒูˆูŠุณ they take a sample ู…ู† 20
352
+
353
+ 89
354
+ 00:07:54,120 --> 00:08:00,740
355
+ ู…ูŠูƒุฑูˆููŠุฑ ูŠูุชุญ ูˆูŠุฌุฏ ุฃู†ู‡ู… ูŠุณุชุฎุฏู…ูˆู† ู…ูŠุงู† ู…ู† ู‡ุฐุง ุงู„ู€
356
+
357
+ 90
358
+ 00:08:00,740 --> 00:08:04,960
359
+ 257
360
+
361
+ 91
362
+ 00:08:04,960 --> 00:08:09,420
363
+ .3 ูˆุงุช ู‡ุฐุง ุญุชู‰ ู„ุฃู† ุฃู†ุง ู…ุด ุนุงุฑู ุงุด ุจุฏูŠ ุฃุนู…ู„ ุงูŠุด
364
+
365
+ 92
366
+ 00:08:09,420 --> 00:08:17,780
367
+ ุงู„ู…ุทู„ูˆุจ ู…ุด ูˆุงุถุญ ุณุคุงู„ ุซู„ุงุซุฉ ูŠุญูƒูŠ ุนู† ุณูŠู†ุงุฑูŠูˆ 93 ู…ูŠู†
368
+
369
+ 93
370
+ 00:08:17,780 --> 00:08:20,700
371
+ ู‡ูˆ population of interest ู…ูŠู† ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ุฃู†ุง
372
+
373
+ 94
374
+ 00:08:20,700 --> 00:08:27,340
375
+ ู…ู‡ุชู… ููŠู‡ ู†ุดูˆู ุงู„ู€ .. ูˆุงุญุฏุฉ ุชู‚ุฑุฃ ุงู„ู„ูŠ ู‡ุฏูˆู„ ุงู„ู„ูŠ
376
+
377
+ 95
378
+ 00:08:27,340 --> 00:08:32,420
379
+ ุจุชุฑูƒุฒูŠ ู…ุนุงู‡ ู…ูŠู† ุงู„ู€ population of interestุŸ ุญุฏ
380
+
381
+ 96
382
+ 00:08:32,420 --> 00:08:40,500
383
+ ูŠู‚ุฑุฃุŸ ุญุฏ ูŠู‚ุฑุฃ ุงู„ู€ .. ุงู„ุณุคุงู„ ุงู„ุซู„ุงุซุฉ ูู…ูŠู† power
384
+
385
+ 97
386
+ 00:08:40,500 --> 00:08:43,540
387
+ consumptionุŸ ุงู„ู€ power consumption ู…ุฌุฑูˆุจ ุฃูˆ ู…ูŠู†ุŸ
388
+
389
+ 98
390
+ 00:08:43,540 --> 00:08:46,340
391
+ ูู€ power consumption in the country ู…ุฌุฑูˆุจ ุฃูˆ ู…ูŠู†ุŸ
392
+
393
+ 99
394
+ 00:08:46,340 --> 00:08:48,820
395
+ ูู…ูŠู† power consumption in the country ู…ุฌุฑูˆุจ ุฃูˆ
396
+
397
+ 100
398
+ 00:08:48,820 --> 00:08:53,400
399
+ ู…ูŠู†ุŸ ูู€ power consumption ูˆุจุชูƒู„ู… ุนู† ุงู„ู€ population ูƒู„ู‡
400
+
401
+ 101
402
+ 00:08:53,400 --> 00:08:56,940
403
+ ุทุจ ุงู„ู€ population ู…ูŠู† ู‡ูŠูƒูˆู†ุŸ ููŠ ุฅุฌุงุจุงุช we have to
404
+
405
+ 102
406
+ 00:08:56,940 --> 00:09:03,820
407
+ ignore it ู„ุงุฒู… ุชุฌุนู„ู‡ุง ุฃูŠ ุญุงุฌุฉ ุจุชุญูƒูŠ ุนู† ู…ูŠู† ู…ุด ุตุญ
408
+
409
+ 103
410
+ 00:09:03,820 --> 00:09:06,760
411
+ ูˆ ุจุชุชูƒู„ู…ุด ุนู† ู…ูŠู†ุŒ ุจุชูƒู„ู… ุนู† ุงู„ู€ population ูˆุจุงู„ุชุงู„ูŠ
412
+
413
+ 104
414
+ 00:09:06,760 --> 00:09:11,540
415
+ ู‡ูŠูƒ ุฃู†ุง ุทู„ุนุชุด ุญุฏุงูุฉ ุฅุฌุงุจุชูŠู† ุจุชุนุฑู ุชุณูƒุฑ ุงู„ู…ู† ุณุฑุจุญ
416
+
417
+ 105
418
+ 00:09:11,540 --> 00:09:17,060
419
+ ุงู„ู…ู„ูŠูˆู† ููŠ ุนู†ุฏ ุฃุฑุจุน ุฅุฌุงุจุงุช ุงุณุชุนุงู†ูŠ ู…ุน ุตุฏูŠู‚ ูˆุงุญุฏ ููŠ
420
+
421
+ 106
422
+ 00:09:17,060 --> 00:09:20,660
423
+ ุฅุฌุงุจุชูŠู† ูˆู‡ูŠูƒ ูƒุฏู‡ ุงู„ู„ูŠ ุญุฏูุช ุฌุจุชูŠู† ุตุงุฑ ุนู†ุฏูŠ ุงุฎุชูŠุงุฑ
424
+
425
+ 107
426
+ 00:09:20,660 --> 00:09:24,520
427
+ ูˆูŠู† ุจุณ ููŠ ุงูŠู‡ ุฌุจุชูŠู† ูŠุนู†ูŠ ุจุชุฑูƒุฒ ููŠ ุงุซู†ูŠู† ุจุณ ู„ูŠุด
428
+
429
+ 108
430
+ 00:09:24,520 --> 00:09:27,040
431
+ ุดูŠู„ุช ุงู„ู€ ู…ูŠู†ุŸ ุฃู†ุง ุจุชูƒู„ู… ุนู† population of interest
432
+
433
+ 109
434
+ 00:09:27,040 --> 00:09:31,180
435
+ ู…ุง ุชูƒู„ู…ุด ุนู† ุงู„ู€ parameter ูุจุงู„ุชุงู„ูŠ ุจุชุทู„ุน ู†ู…ุณูƒ ุงู„ุงุซู†ูŠู†
436
+
437
+ 110
438
+ 00:09:31,180 --> 00:09:34,240
439
+ ุจูŠ ูˆ ุฏูŠ the power consumption in the twenty
440
+
441
+ 111
442
+ 00:09:34,240 --> 00:09:35,520
443
+ microwave oven
444
+
445
+ 112
446
+ 00:09:38,070 --> 00:09:42,170
447
+ ุญุฏุฏ .. ุญุฏุฏ ุนู„ู‰ ุนุดุฑูŠู† ูˆุงู„ุนุดุฑูŠู† sample ุฒูŠ ู…ุด ู‡ูŠ ุฅุฐุง
448
+
449
+ 113
450
+ 00:09:42,170 --> 00:09:45,150
451
+ ุตุฑุช ูˆุฃู†ุง ู…ุบู…ุถ ุงู„ู€ job ุฏูŠ ู…ู† ุบูŠุฑ ู…ู‚ุฑุฃู‡ ุฅุฐุง ูƒุงู† ุทุจุนุงู‹
452
+
453
+ 114
454
+ 00:09:45,150 --> 00:09:49,050
455
+ .. ุฅุฐุง ูƒุงู† ู…ุง ููŠุด ุบูŠุฑู‡ ุงู„ู€ power consumption in all
456
+
457
+ 115
458
+ 00:09:49,050 --> 00:09:54,210
459
+ ู„ุญุธุฉ ูƒู„ู…ุฉ all such microwave ovens ุฅุฐุง ุฏูŠ ูˆุงุถุญุฉ ูƒูŠู
460
+
461
+ 116
462
+ 00:09:54,210 --> 00:09:59,070
463
+ ูˆุงุญุฏ ุจููƒุฑ ุจุญู„ ุงู„ุณุคุงู„ ูŠุญุฏุซ ุงู„ุฅุฌุงุจุงุช ุงู„ู„ูŠ ู…ุด ู…ู†ุงุณุจุฉ
464
+
465
+ 117
466
+ 00:09:59,070 --> 00:10:02,450
467
+ ูˆุจุนุฏูŠู† ุจุชูƒู…ู„ ูˆุงุถุญุฉ ุฅุฐุง correct answer is ุฏูŠ
468
+
469
+ 118
470
+ 00:10:05,640 --> 00:10:08,800
471
+ ุฎู„ุงุต ุทุจุนุงู‹ ุงู„ุฅุฌุงุจุงุช ุนู†ุฏูƒ ู…ูˆุฌูˆุฏุฉ ููŠ ู†ู‡ุงูŠุฉ ุงู„ุณุคุงู„
472
+
473
+ 119
474
+ 00:10:08,800 --> 00:10:16,260
475
+ ู„ุฐู„ูƒ ุงู„ู€ three correct answer is ุฏูŠ let's
476
+
477
+ 120
478
+ 00:10:16,260 --> 00:10:23,060
479
+ move to number four ุฑู‚ู… ุฃุฑุจุนุฉ ุฑูุนุช ููŠ ุณู†ุฉ number
480
+
481
+ 121
482
+ 00:10:23,060 --> 00:10:29,360
483
+ three the parameter of interest the
484
+
485
+ 122
486
+ 00:10:29,360 --> 00:10:34,440
487
+ parameter of interest ุจุญูƒูŠ ุนู† ุงู„ู€ parameter ุทุจุนุงู‹ ููŠ
488
+
489
+ 123
490
+ 00:10:34,440 --> 00:10:37,400
491
+ ุนู†ุฏูŠ the main power consumption of all such
492
+
493
+ 124
494
+ 00:10:37,400 --> 00:10:40,820
495
+ microwave ovens ู„ู…ุง ุฃุชูƒู„ู… ุนู† ุงู„ู€ parameter ุจุญูƒูŠ ุนู„ู‰
496
+
497
+ 125
498
+ 00:10:40,820 --> 00:10:45,220
499
+ ุดุบู„ุฉ computed from the population ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃูŠ ุญุฏ
500
+
501
+ 126
502
+ 00:10:45,220 --> 00:10:48,120
503
+ ููŠู‡ุง population ู‡ูŠ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง ู…ูŠู† ููŠ .. ู…ูŠู†
504
+
505
+ 127
506
+ 00:10:48,120 --> 00:10:53,780
507
+ ููŠ ุญุฏ ุจุชุฏู„ุน ุงู„ู€ populationุŸ allุŒ ู‡ูŠ ู‡ุฐู‡ ู…ุธุจูˆุท ูˆููŠู‡ุง
508
+
509
+ 128
510
+ 00:10:53,780 --> 00:10:58,100
511
+ ูƒู„ู…ุฉ ุงูŠุดุŸ ู…ูŠู†ุŒ ุงู„ุชู†ุงุฏุฑ ู…ุน ุจุนุถ ู…ุง ูŠู†ูุนุด ุฃูƒูˆู† ููŠ ุนู†ุฏ
512
+
513
+ 129
514
+ 00:10:58,100 --> 00:11:00,870
515
+ ุงู„ู€ all ู†ุบูŠุฑ ุงู„ู€ mean ู„ู…ุง ุฃุชูƒู„ู… ุนู† ุงู„ู€ parameter ูู„ู…ุง
516
+
517
+ 130
518
+ 00:11:00,870 --> 00:11:04,530
519
+ ูŠูƒูˆู† ููŠู‡ ุจุฑู…ุฌุฉ ุจุชูƒูˆู† ุนู†ุฏ ู…ูŠู† ู…ูŠู† ุฃูˆ proportion ู„ูˆ
520
+
521
+ 131
522
+ 00:11:04,530 --> 00:11:07,070
523
+ ู…ุซุงู„ proportion ุจุณ ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจุชุชูƒู„ู… ุนู† ุงู„
524
+
525
+ 132
526
+ 00:11:07,070 --> 00:11:09,650
527
+ mean ูุจุงู„ุชุงู„ูŠ ุงู„ู€ A is the correct answer ู…ู† ุบูŠุฑ
528
+
529
+ 133
530
+ 00:11:09,650 --> 00:11:13,090
531
+ ู…ู‚ุฑุฃ ูˆุถูŠู‘ุน ูˆู‚ุช ู„ุฃู† ู‡ุฐุง ุงู„ู€ mean power consumption of
532
+
533
+ 134
534
+ 00:11:13,090 --> 00:11:19,130
535
+ the 20 ุงู„ู€ 20 ู„ู„ู€ sample X bar ุฎู„ุงุต ู„ูˆ ุญูƒูŠ ู„ูŠ the
536
+
537
+ 135
538
+ 00:11:19,130 --> 00:11:24,050
539
+ statistic of interest is ุจู‚ูˆู„ู‡ ู‡ุฐุง ุจุณ ู…ุด ู‡ุง ู‡ูˆ
540
+
541
+ 136
542
+ 00:11:24,050 --> 00:11:27,450
543
+ ุจูŠุญูƒูŠ ุนู† ุงู„ู€ population ุฃูˆ ุงู„ู€ parameter ุจุงู„ุจุณ ู„ุฐุง
544
+
545
+ 137
546
+ 00:11:27,450 --> 00:11:38,670
547
+ correct answer four ุจูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ุงูŠู‡ ุฎู„ุงุต number
548
+
549
+ 138
550
+ 00:11:38,670 --> 00:11:39,190
551
+ five
552
+
553
+ 139
554
+ 00:11:44,770 --> 00:11:48,470
555
+ referring to the same scenario for a test for a
556
+
557
+ 140
558
+ 00:11:48,470 --> 00:11:50,950
559
+ test with a level of significance alpha ุงูŠุด ู„ูŠู‡
560
+
561
+ 141
562
+ 00:11:50,950 --> 00:11:53,910
563
+ critical valueุŸ ู†ุฑูƒุฒ ุงู„ุขู† ุจุณ ุนุงุฑู ุงู„ู€ critical
564
+
565
+ 142
566
+ 00:11:53,910 --> 00:11:56,210
567
+ value ุฅุฐุง ู…ุง ุนุฑูุช ู‡ูŠ ู„ูŠู‡ one sided ูˆู„ุง two sided
568
+
569
+ 143
570
+ 00:11:56,210 --> 00:12:03,550
571
+ ุงู„ู€ claim ูƒุงู† ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ ุงู„ู€ claim ุฅุฐุง ุจุชุฐูƒุฑ ุญูƒู‰
572
+
573
+ 144
574
+ 00:12:03,550 --> 00:12:11,670
575
+ no more than no more ู…ุนู†ู‰ no more ูŠุนู†ูŠ ุงูŠุดุŸ ู…ุงุฆุชูŠู†
576
+
577
+ 145
578
+ 00:12:11,670 --> 00:12:18,250
579
+ ูˆุฎู…ุณูŠู† ู‡ู„ ู‡ุฐุง ุงู„ู€ H1 ุฃูˆ ุงู„ู€ H0ุŸ ู†ุญู† ู†ุนุฑู ุดูŠุกุŒ ุฅู†
580
+
581
+ 146
582
+ 00:12:18,250 --> 00:12:23,290
583
+ ุงู„ู€ null hypothesis contains equal signุŒ ู…ุธุจูˆุทุŸ
584
+
585
+ 147
586
+ 00:12:23,290 --> 00:12:26,990
587
+ ุงู„ู€ H0 ูŠุดุชู…ู„ ุนู„ู‰ ุงู„ู€ equal signุŒ ุฅ๏ฟฝ๏ฟฝุง ูƒุงู† ู‡ุฐุง ุงู„ู€
588
+
589
+ 148
590
+ 00:12:26,990 --> 00:12:34,150
591
+ H0ุŸ ู‡ุฐุง ุงู„ู€ H0ุŒ ุงู„ู€ Mu ุฃู‚ู„ ู…ู† 250 ุฃูˆ ุชุณุงูˆูŠุŒ ุงู„ู€
592
+
593
+ 149
594
+ 00:12:34,150 --> 00:12:37,750
595
+ H1ุŒ ุงู„ู€ Mu ู…ุงู„ู‡ุง ุฃูƒุจุฑุŒ ุฃูƒุจุฑุŒ ุฎู„ุงุตุŒ ููƒุฏู‡ ุฃู†ุง ุนุฑูุช
596
+
597
+ 150
598
+ 00:12:37,750 --> 00:12:40,710
599
+ ุงูŠุด ุดุบู„ุชุŒ ุฒูŠ 1 ุซู„ุงุซ
600
+
601
+ 151
602
+ 00:12:42,060 --> 00:12:47,100
603
+ one tailed ูˆ upper ูˆู„ุง left upper ู…ุด ู‡ูŠูƒ ูˆ alpha
604
+
605
+ 152
606
+ 00:12:47,100 --> 00:12:53,260
607
+ ูƒุฏู‡ ุงูŠุด ุญุงุฌุฉ ุจุชุณุงูˆูŠ alpha five percent ู„ุฅู† ุญูƒู‰ ู„ูŠ ููŠ
608
+
609
+ 153
610
+ 00:12:53,260 --> 00:13:00,160
611
+ ุงุฑุฌุน ุซุงู†ูŠ ู„ู€ five ุญูƒู‰ alpha is five percent ุฃูƒูŠุฏ
612
+
613
+ 154
614
+ 00:13:00,160 --> 00:13:03,780
615
+ ุฃู†ุง ุญุงูุธู‡ุง ุฃูˆ ุจุทู„ุนู‡ุง ู…ู† ุงู„ู€ table one point six
616
+
617
+ 155
618
+ 00:13:03,780 --> 00:13:06,620
619
+ four five ุฅุฐุง ุฌูˆุงุจ one point six four five ุฅุฐุง
620
+
621
+ 156
622
+ 00:13:06,620 --> 00:13:09,300
623
+ five ุฌูˆุงุจ one point six four five
624
+
625
+ 157
626
+ 00:13:12,080 --> 00:13:18,260
627
+ ุฅุฐุง ู‡ุงุฏ one point six four one five ุงู„ุขู† ููŠ ุงู„ุณู€ุชุฉ
628
+
629
+ 158
630
+ 00:13:18,260 --> 00:13:21,520
631
+ the value of that statistic ู…ุงุดูŠ ู…ุนุงูƒ ูˆ ุจู‚ู‰ ุนุดุงู†
632
+
633
+ 159
634
+ 00:13:21,520 --> 00:13:26,480
635
+ step by step ุนุฑููƒ ุงู„ู€ population ุงุชุนุฑู ู…ู†ูƒ ุนู„ู‰ ุงู„ู€
636
+
637
+ 160
638
+ 00:13:26,480 --> 00:13:30,340
639
+ parameter ุงุชุฃูƒุฏ ุฅู†ูƒ ุชูƒุชุจ ุงู„ู€ null ูˆุงู„ู€ alternative
640
+
641
+ 161
642
+ 00:13:30,340 --> 00:13:35,040
643
+ ุตุญ ูƒุชุจุช ุงู„ู€ critical value ุตุญ ุฃูˆ ุทู„ุนุชู‡ุง ููŠ ุฎู…ุณุฉ ุฃูˆ
644
+
645
+ 162
646
+ 00:13:35,040 --> 00:13:40,900
647
+ ููŠ ุณุชุฉ ุจุญูƒูŠ ุนุดุงู† ุงูŠุด ุงู„ู€ test ุงู„ู€ statistic ููŠ ุณุชุฉ
648
+
649
+ 163
650
+ 00:13:44,920 --> 00:13:48,900
651
+ ุฎู„ู‘ูŠ ุจุงู„ูƒ ูŠุนู†ูŠ ุฃู†ุง ุงู„ุขู† ู…ู…ูƒู† ุงู„ู…ุซู„ุฉ ู‡ุฐู‡ ุฃู…ูŠุฒ ุฃุญู„ Z
652
+
653
+ 164
654
+ 00:13:48,900 --> 00:13:53,420
655
+ ูˆู„ุง T ู…ู‡ู… ุทุงู„ู…ุง ุงู„ู€ sigma is given automatic ุนู„ู‰ Z
656
+
657
+ 165
658
+ 00:13:53,420 --> 00:13:57,960
659
+ ุฅุฐุง ุงู„ุณุคุงู„ ุชุจุน Z ูˆู„ุญุธุฉ ุงู„ู„ูŠ ู‡ูŠ ุญุชู‰ ุงุณุชุฎุฏู…ุช Z
660
+
661
+ 166
662
+ 00:13:57,960 --> 00:14:03,000
663
+ critical ุนู„ู‰ ุทูˆู„ุŒ ู…ุธู‡ุฑุŸ ู„ุฃู† Z is given ู‡ูˆ ู…ุนุฑูˆู
664
+
665
+ 167
666
+ 00:14:03,000 --> 00:14:06,140
667
+ ูุจุงู„ุชุงู„ูŠ ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… Z statistics ุญุชู‰ ุฅุฐุง ูƒุงู†ุช
668
+
669
+ 168
670
+ 00:14:06,140 --> 00:14:13,840
671
+ ุงู„ู…ุฌู…ูˆุนุฉ ุตุบูŠุฑุฉุŒ ูุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ ุตุบูŠุฑุฉ ูุจุฅู…ูƒุงู†ู†ุง
672
+
673
+ 169
674
+ 00:14:13,840 --> 00:14:19,540
675
+ ุงุณุชุฎุฏุงู… Z
676
+
677
+ 170
678
+ 00:14:19,540 --> 00:14:24,000
679
+ statistics Z statistics ู‡ูˆ X bar minus Mu Sigma
680
+
681
+ 171
682
+ 00:14:24,000 --> 00:14:25,560
683
+ over square root of N
684
+
685
+ 172
686
+ 00:14:28,910 --> 00:14:35,550
687
+ ุจุณ x bar is given 257.3
688
+
689
+ 173
690
+ 00:14:35,550 --> 00:14:45,010
691
+ -250 sigma is 15 over square root of 20 now just
692
+
693
+ 174
694
+ 00:14:45,010 --> 00:14:48,590
695
+ compute this value you will end with the value of
696
+
697
+ 175
698
+ 00:14:48,590 --> 00:14:53,890
699
+ this statistic ุฃู†ุง ุจุงุชู†ุณุญูƒ ุฏุงุฆู…ุงู‹ ุงุญุณุจ ุงู„ู…ู‚ุงู… ู„ุญุงู„ู‡
700
+
701
+ 176
702
+ 00:14:53,890 --> 00:14:58,210
703
+ ุงุญุณุจ ุงู„ุจุงุณ ุฌุณู… 2 ุนู„ู‰ ุจุนุถ ู„ูŠุด ู„ุงู† ุฃู†ุง ู„ูˆ ุบู„ุทุช ู‡ู†ุง
704
+
705
+ 177
706
+ 00:14:59,440 --> 00:15:02,280
707
+ ุจูŠุชุจุนูˆุง ุฃุฎุทุงุก ุฃุฎุฑู‰ ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ multiple choice
708
+
709
+ 178
710
+ 00:15:02,280 --> 00:15:07,540
711
+ ูุงู„ุชุงู„ูŠ ุฃู†ุช ู„ูˆ ุญุณุจุชู‡ุง ุงู„ุฌูˆุงุจ ููŠ ุงู„ู€ answers ุงู„ู„ูŠ
712
+
713
+ 179
714
+ 00:15:07,540 --> 00:15:15,220
715
+ ุนู†ุฏู†ุง ููŠ ุงู„ุณุคุงู„ 6 two point ุฃูˆ 18 ุชู‚ุฑูŠุจุงู‹ ุฅุฐุง ู‡ุฐุง
716
+
717
+ 180
718
+ 00:15:15,220 --> 00:15:22,160
719
+ ุงู„ุฌูˆุงุจ ู„ู€ .. ู„ุณู‡ ุงู„ุณุคุงู„ 6 ููŠ ุฃูŠ ุณุคุงู„ุŸ ุทูŠุจ ุงู„ุณุคุงู„ 7
720
+
721
+ 181
722
+ 00:15:39,800 --> 00:15:44,820
723
+ ู†ู…ุจุฑ ุณุจุน ุงู„ุณุงุจุน
724
+
725
+ 182
726
+ 00:15:44,820 --> 00:15:48,940
727
+ ู…ุง ุจูŠุญูƒูŠ if the p-value is less than alpha in a
728
+
729
+ 183
730
+ 00:15:48,940 --> 00:15:52,280
731
+ two-tailed test ุฅุฐุง ุงู„ู€ p-value ุฃู‚ู„ ู…ู† ุงู„ุฃู„ูุง
732
+
733
+ 184
734
+ 00:15:52,2
735
+
736
+ 216
737
+ 00:18:31,290 --> 00:18:40,130
738
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง 2.18 ูˆุงุญุฏ
739
+
740
+ 217
741
+ 00:18:40,130 --> 00:18:44,910
742
+ ุชุญุช ุงู„ุชู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒ ู‡ุงูŠูˆุงู† all the way under eight
743
+
744
+ 218
745
+ 00:18:44,910 --> 00:18:50,070
746
+ so I got nine eight five four nine eight five four
747
+
748
+ 219
749
+ 00:18:52,780 --> 00:18:59,900
750
+ 9854 ุฅุฐุง ุงู„ุฌูˆุงุจ ุนุจุงุฑุฉ ุนู† 0146 ุฅุฐุง ุงู„ู€ B value point
751
+
752
+ 220
753
+ 00:18:59,900 --> 00:19:05,780
754
+ 0146 this is approximate answer ุงู„ู€ K answer point
755
+
756
+ 221
757
+ 00:19:05,780 --> 00:19:13,140
758
+ 0148 ู…ุด ู…ุดูƒู„ุฉ ูƒุชูŠุฑ ู„ุฃู† ุฌูˆุงุจ ุงู„ู€ exact ุงู„ู…ุทู„ุน 0148
759
+
760
+ 222
761
+ 00:19:13,140 --> 00:19:17,540
762
+ ู‡ุฐุง ุงู„ู€ exact ุงุญู†ุง ุนู†ู‡ approximate ู„ุฃู† ู‡ุฐุง ุงู„ุฌูˆุงุจ
763
+
764
+ 223
765
+ 00:19:17,540 --> 00:19:21,250
766
+ ู…ุด exact answer ู…ุธุจูˆุทุŸ ูˆ approximate ูุจุงู„ุชุงู„ูŠ
767
+
768
+ 224
769
+ 00:19:21,250 --> 00:19:23,850
770
+ ุงู„ุฌูˆุงุจ ุงู„ุชุงุจุน approximate ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุจูŠู†
771
+
772
+ 225
773
+ 00:19:23,850 --> 00:19:27,890
774
+ ุงู„ุงุชู†ูŠู†
775
+
776
+ 226
777
+ 00:19:27,890 --> 00:19:35,170
778
+ ุฅุฐุง
779
+
780
+ 227
781
+ 00:19:35,170 --> 00:19:39,170
782
+ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู†ุง ุงู„ุณุคุงู„ ุชุณุนุฉ ูˆุงู„ุจุนุฏู‡ ุจูŠุญูƒูŠ
783
+
784
+ 228
785
+ 00:19:39,170 --> 00:19:42,210
786
+ referring to ุชุณุนุฉ ุฃุฑุจุนุฉ ุฃู†ุง ู…ุง ุชุด ุชุณุนุฉ ุฃุฑุจุนุฉ ู‡ู†ุง
787
+
788
+ 229
789
+ 00:19:43,900 --> 00:19:47,060
790
+ ุฎู„ุงุต ูู‡ุฐู‡ ู…ุด ู„ุงุฒู…ุฉ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุณ๏ฟฝ๏ฟฝุงู„ .. ุงู„ุณุคุงู„
791
+
792
+ 230
793
+ 00:19:47,060 --> 00:19:49,620
794
+ ุงู„ุนุงุดุฑ ุฃู†ุง ุจูƒูˆู† ุฃู†ุง ู…ุด ุญุงุท ุงู„ุณุงุนุฉ ุฃุฑุจุนุฉ ูู‡ุฐู‡
795
+
796
+ 231
797
+ 00:19:49,620 --> 00:19:54,520
798
+ ุงู„ุณุคุงู„ just ignored ุดูˆู ุงู„ุณุคุงู„ ุงู„ุจุนุฏ ุณุคุงู„ 11
799
+
800
+ 232
801
+ 00:19:54,520 --> 00:19:59,440
802
+ ู…ุนู„ูˆู…ุฉ
803
+
804
+ 233
805
+ 00:19:59,440 --> 00:19:59,840
806
+ ุฌุฏูŠุฏุฉ
807
+
808
+ 234
809
+ 00:20:13,580 --> 00:20:18,960
810
+ ุงู„ุณุคุงู„ 11 The quality control engineer for
811
+
812
+ 235
813
+ 00:20:18,960 --> 00:20:21,260
814
+ furniture manufacture is interested in the mean
815
+
816
+ 236
817
+ 00:20:21,260 --> 00:20:25,440
818
+ amount of force necessary to produce cracks in
819
+
820
+ 237
821
+ 00:20:25,440 --> 00:20:29,540
822
+ stressed oak furniture. She performs a two-tailed
823
+
824
+ 238
825
+ 00:20:29,540 --> 00:20:36,460
826
+ test of the
827
+
828
+ 239
829
+ 00:20:36,460 --> 00:20:39,660
830
+ null hypothesis that the mean for the stressed oak
831
+
832
+ 240
833
+ 00:20:39,660 --> 00:20:42,340
834
+ furniture is 650.
835
+
836
+ 241
837
+ 00:20:44,070 --> 00:20:48,490
838
+ ุนุงู…ู„ุฉ ุงู„ู…ูŠู† ู…ุด ุจุณุงูˆูŠ ุฅูŠู‡ุŸ ูˆ ุงู„ู€ .. ูˆ ุงู„ู€ H1 ุฃู‚ู„ ุนู†
839
+
840
+ 242
841
+ 00:20:48,490 --> 00:20:56,230
842
+ ุฅูŠู‡ุŸ not equal ุฎู„ุงุตุŸ the calculated value of the t
843
+
844
+ 243
845
+ 00:20:56,230 --> 00:21:00,690
846
+ -test statistic is a positive number ุจูŠุญูƒูŠ ุฃู† ุงู„ู€ Z
847
+
848
+ 244
849
+ 00:21:00,690 --> 00:21:06,610
850
+ ุทุงู„ุน positive ุจุณ ู…ุงุญูƒุชุด ุงู„ู‚ูŠู…ุฉ ู…ุด ุจุชุณุงูˆูŠ with ..
851
+
852
+ 245
853
+ 00:21:06,610 --> 00:21:09,610
854
+ is a positive number that leads to a p-value of 0
855
+
856
+ 246
857
+ 00:21:09,610 --> 00:21:14,690
858
+ .08 for the test ุงู„ู€ P value ุฃุนุทุงู†ูŠ ุฃุฌุงุฒุฉ ุดูˆู
859
+
860
+ 247
861
+ 00:21:14,690 --> 00:21:17,290
862
+ ุงู„ุฃุณุฆู„ุฉ ู…ุฎุชู„ูุฉ ุนู† ุจุนุถ ููŠ ุงู„ุณุคุงู„ 11 ุทู„ุจ ุชุญุณุจ ุงู„ู€ P
863
+
864
+ 248
865
+ 00:21:17,290 --> 00:21:20,390
866
+ value ู„ุฃู† ุฃุนุทุงู†ูŠ ุงู„ู€ P value ูˆ ุฃุนุทุงู†ูŠ ุจุนุถ ุงู„ู…ุนู„ูˆู…ุงุช
867
+
868
+ 249
869
+ 00:21:20,390 --> 00:21:24,570
870
+ ุงู„ุชุงู†ูŠุฉ ููŠ ุงู„ุณุคุงู„ 11 11 refer to scenario 96
871
+
872
+ 250
873
+ 00:21:24,570 --> 00:21:27,910
874
+ suppose the engineer had decided that the
875
+
876
+ 251
877
+ 00:21:27,910 --> 00:21:32,310
878
+ alternative hypothesis to test was that the mean
879
+
880
+ 252
881
+ 00:21:32,310 --> 00:21:36,970
882
+ was greater than 650 ุงู„ุขู† ุจุณุฃู„ ููŠ ุงู„ุณุคุงู„ 11 ู‡ุฐู‡
883
+
884
+ 253
885
+ 00:21:36,970 --> 00:21:41,570
886
+ ู…ุนู„ูˆู…ุฉ ุนุงู…ุฉ ููŠ ุงู„ุณุคุงู„ 11 ุจุญูƒูŠ ู„ูˆ ูƒุงู† ุงู„ู€ mean above
887
+
888
+ 254
889
+ 00:21:41,570 --> 00:21:46,230
890
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุทูŠุจ what would be the p-value of this
891
+
892
+ 255
893
+ 00:21:46,230 --> 00:21:52,750
894
+ one test ู…ุงู‡ูŠ ุงู„ู€ p-value ุงู„ุขู† ุงู„ู…ุซู„ ุญูƒู‰
895
+
896
+ 256
897
+ 00:21:52,750 --> 00:21:56,590
898
+ ู‡ูŠูƒ ููŠ ุงู„ู€ two-tailed ูƒุงู†ุช ุงู„ู€ p-value ู…ุด ู…ุชุณุงูˆูŠ
899
+
900
+ 257
901
+ 00:21:56,590 --> 00:21:59,610
902
+ ุซู…ุงู†ูŠุฉ
903
+
904
+ 258
905
+ 00:21:59,610 --> 00:22:07,070
906
+ ู…ุธุจูˆุท ุซู…ุงู†ูŠุฉ ูŠุนู†ูŠ ูƒู„ ูˆุงุญุฏุฉ ุฌุฏุงุด ุจุชูƒูˆู† ุฃุฑุจุนุฉ ููŠ ุงู„ู…ูŠุฉ
907
+
908
+ 259
909
+ 00:22:08,180 --> 00:22:10,860
910
+ ุงู„ู„ูŠ ุฃู†ุง ู…ุด ุญุงูƒูŠ ุนู„ูŠู‡ ุงู„ู€ Z positive ูŠุนู†ูŠ ุนู„ูŠุง
911
+
912
+ 260
913
+ 00:22:10,860 --> 00:22:17,240
914
+ ุงุชุฌุงู‡ุŒ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูŠุนู†ูŠ ุงู„ู€ Z ู‡ู†ุง ูƒุงู†ุช ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ
915
+
916
+ 261
917
+ 00:22:17,240 --> 00:22:23,660
918
+ ุจูŠุจู‚ู‰ 100 ุฃูƒุจุฑ ุงู„ู€ P value ู…ุด ู‡ุชุณุงูˆูŠ ุทู„ุจ ุฃูƒุจุฑ ุงู„ู€ P
919
+
920
+ 262
921
+ 00:22:23,660 --> 00:22:27,640
922
+ value ู‡ูŠ ู…ุธู„ูˆู… ูุงู„ุฌูˆุงุจ ู‡ุชุณุงูˆูŠ 4 ู…ู† 100 ุนู„ู‰ ุทูˆู„ ุฅุฐุง
923
+
924
+ 263
925
+ 00:22:27,640 --> 00:22:32,220
926
+ ุงู„ุฌูˆุงุจ ุนุจุงุฑุฉ ุนู† Z ู„ูˆ ุญูƒู‰ Z positiveุŒ ุทุจ ู„ูˆ ุญูƒู‰ Z
927
+
928
+ 264
929
+ 00:22:32,220 --> 00:22:36,920
930
+ negative ุฎู„ูŠู†ุง ู„ูˆ ุญูƒู‰ ุงู„ู€ z negative .. ู„ูˆ ุญูƒู‰ ููŠ
931
+
932
+ 265
933
+ 00:22:36,920 --> 00:22:41,180
934
+ ุงู„ู…ุซู„ุฉ ู‡ุฐู‡ ู„ูˆ ุญูƒู‰ ุงู„ู€ z ู‚ูŠู…ุชู‡ ุงู„ู€ z statistic
935
+
936
+ 266
937
+ 00:22:41,180 --> 00:22:47,540
938
+ negative negative ูŠุนู†ูŠ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ
939
+
940
+ 267
941
+ 00:22:47,540 --> 00:22:53,380
942
+ ุฃู†ุง ู…ุด .. ุชูƒูˆู† ู†ู‚ุต ุฃุฑุจุนุฉ ุงู„ุขู† ู„ูˆ ุฃู†ุง ุญูƒูŠุช ูƒุฏู‡ ู„ูˆ
943
+
944
+ 268
945
+ 00:22:53,380 --> 00:22:59,160
946
+ ุทู„ุนุช ุงู„ู€ z negative ุฑูƒุฒูˆุง ูƒูˆูŠุณ ุงู„ู…ุซู„ ุฃู†ุง ุฎู„ุตุช ุญุงู„ุฉ
947
+
948
+ 269
949
+ 00:22:59,160 --> 00:23:03,020
950
+ ุงู„ุฌูˆุงุจ c ู„ุฃู† ุงู„ู€ z positive ู„ูˆ ููŠ ุงู„ู€ positive ..
951
+
952
+ 270
953
+ 00:23:03,020 --> 00:23:06,320
954
+ ู„ูˆ ูƒุงู†ุช positive ู‡ู†ุง ุจุทู„ู‘ูŠ ุงุญุชู…ุงู„ Z ุฃูƒุจุฑ ู…ู†
955
+
956
+ 271
957
+ 00:23:06,320 --> 00:23:09,240
958
+ ุงู„ู‚ูŠู…ุฉุŒ ู…ุธุจูˆุทุŸ ุฃูƒุจุฑุŒ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ูˆุงุถุญุŒ ุงุญู†ุง ุฌุงู‡ุฒุฉุŒ
959
+
960
+ 272
961
+ 00:23:09,240 --> 00:23:14,800
962
+ ู…ุด ู‡ูŠูƒุŸ ุทูŠุจุŒ ุฅู„ุง ู„ูˆ ูƒุงู†ุช Z negative ูˆู…ุงุฒุงู„ ุงู„ู€
963
+
964
+ 273
965
+ 00:23:14,800 --> 00:23:21,320
966
+ test ุชุจู‚ู‰ ู‡ูŠู‡ ู…ูŠูˆ ุฃูƒุจุฑ ุงู„ู€ B value ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ุฑูƒุฒูŠ
967
+
968
+ 274
969
+ 00:23:21,320 --> 00:23:26,880
970
+ ู…ุนุงูŠุงุŒ ุฌุงูˆุจูŠุด Z ุฃูƒุจุฑ ู…ู† .. ู…ุธุจูˆุทุŸ ุฅูŠุด ุงู„ู€ .. ุฅูŠุด
971
+
972
+ 275
973
+ 00:23:26,880 --> 00:23:33,940
974
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุญูƒูŠุชู‡ุง negativeุŸ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ู‡ุฐู‡ ุงู„ู€
975
+
976
+ 276
977
+ 00:23:33,940 --> 00:23:43,800
978
+ negative ูˆุงุญุฏ ู†ู‚ุต 0 ุฃุฑุจุนุฉ ูŠุนู†ูŠ 96 ู…ุนู†ุงู‡
979
+
980
+ 277
981
+ 00:23:43,800 --> 00:23:49,040
982
+ ูƒุฏู‡ ุฃู†ุง ุฌุณู…ุช ุนู„ู‰ ุงู„ุงุซู†ูŠู† ู„ุณุจุจ ุฃู† ุงู„ู€ alternative
983
+
984
+ 278
985
+ 00:23:49,040 --> 00:23:55,100
986
+ hypothesis ููŠ F ุฃูƒุจุฑ ูˆ Z ู…ุงู„ู‡ุง positive ูŠุนู†ูŠ
987
+
988
+ 279
989
+ 00:23:55,100 --> 00:23:58,500
990
+ ุงู„ุงุซู†ูŠู† ๏ฟฝ๏ฟฝุงู„ู‡ู… ููŠ ู†ูุณ ุงู„ู€ direction ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡
991
+
992
+ 280
993
+ 00:23:58,500 --> 00:24:03,080
994
+ ุทุงู„ู…ุง ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ ุจุฌุณู… ุงู„ู€ P value ุนู„ู‰ ุงุซู†ูŠู† ุทุจ
995
+
996
+ 281
997
+ 00:24:03,080 --> 00:24:07,400
998
+ ู„ูˆ ุจุฏุฃ ุฃุฎู„ู‘ูŠ ุงู„ู…ุซู„ุฉ ู†ูุณู‡ุง ูˆ ุงู„ุฌูˆุงุจ ู†ูุณู‡ 4% ุจุณ ุจุฏุฃ
999
+
1000
+ 282
1001
+ 00:24:07,400 --> 00:24:13,220
1002
+ ุฃุบูŠุฑุŒ ุฅูŠุด ุฃุบูŠุฑุŸ ุจุฏู„ ู…ุง ูŠุญูƒูŠ greater thanุŒ less
1003
+
1004
+ 283
1005
+ 00:24:13,220 --> 00:24:18,940
1006
+ than ูˆ ุจุฏู„ ู…ุง ูŠุญูƒูŠ ุงู„ู€ z positiveุŒ negativeุŒ ุงู„ู„ูŠ
1007
+
1008
+ 284
1009
+ 00:24:18,940 --> 00:24:22,380
1010
+ ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ z negativeุŒ ุฑูƒุฒูŠ ู…ุนุงูŠุง ุงู„ู€ z negativeุŒ
1011
+
1012
+ 285
1013
+ 00:24:22,380 --> 00:24:28,920
1014
+ ูƒูˆูŠุณุŸ ูˆ ุงู„ู…ูŠูˆ ุฃู‚ู„ุŒ ู†ูุชุฑุถ ุฃู‚ู„ุŒ ู…ุน ูƒุฏู‡ ุฃู†ุง ุจุทู„ุน
1015
+
1016
+ 286
1017
+ 00:24:28,920 --> 00:24:33,190
1018
+ ุงุญุชู…ุงู„ z ุฃู‚ู„ุŒ ู…ุด ู‡ูŠูƒ ู†ุญู„ ุงู„ุดู…ุงู„ ู‡ุชูƒูˆู† ู†ูุณ ุงู„ุฃุฑุจุน
1019
+
1020
+ 287
1021
+ 00:24:33,190 --> 00:24:36,510
1022
+ ุนุงุฏูŠ ุฅุฐุง
1023
+
1024
+ 288
1025
+ 00:24:36,510 --> 00:24:40,910
1026
+ ุฃู† ูู‡ู…ูƒ ุงู„ุชุงู„ูŠ ุฅุฐุง ุงู„ู€ value of the test ุงู„ู€
1027
+
1028
+ 289
1029
+ 00:24:40,910 --> 00:24:46,090
1030
+ statistic ููŠ ู†ูุณ ุงู„ู€ direction ูŠุนู†ูŠ ู‡ูŠ negative ูˆ
1031
+
1032
+ 290
1033
+ 00:24:46,090 --> 00:24:51,390
1034
+ ุฃู†ุช ุนุงูŠุฒ ุฃู‚ู„ ุงู„ู€ be fair ุจุฌุณู…ู‡ุง ุนู„ู‰ ุงุซู†ูŠู† ู„ูˆ ู‡ูŠ
1035
+
1036
+ 291
1037
+ 00:24:51,390 --> 00:24:55,390
1038
+ positive ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ุจุฑุถู‡ ุจุฌุณู…ู‡ุง ุนู„ู‰ ุงุซู†ูŠู† ูˆ ุงูƒุชุด
1039
+
1040
+ 292
1041
+ 00:24:55,390 --> 00:24:59,410
1042
+ ุจุฌุณู…ุด ุนู„ู‰ ุงุซู†ูŠู† ูŠุนู†ูŠ ู…ุงูƒู†ุชุด .. ุงู„ุฌูˆุงุจ ุจุตูŠุฑ ุฌุฏุงุดุŸ
1043
+
1044
+ 293
1045
+ 00:24:59,410 --> 00:25:02,370
1046
+ ูŠุนู†ูŠ ูƒูŠู ุทู„ุน ุญุฏ ุงู„ุฌูˆุงุจุŸ ูˆุงุญุฏ ู†ู‚ุต 8 ู…ู† 100 ุนู„ู‰ 2ุŒ
1047
+
1048
+ 294
1049
+ 00:25:02,370 --> 00:25:09,290
1050
+ ู…ุธุจูˆุทุŸ ู„ู„ู€ 96 ู„ูˆ ู‡ูŠ ุฃูƒุจุฑ ูˆ ุงู„ู€ z negative ุฃูˆ ู‡ูŠ
1051
+
1052
+ 295
1053
+ 00:25:09,290 --> 00:25:12,870
1054
+ ุฃู‚ู„ ูˆ ุงู„ู€ z ู…ุง ู„ู‡ุง positive ุงุญู†ุง ููŠ ุงู„ู„ูŠ ุนู†ุฏูŠ
1055
+
1056
+ 296
1057
+ 00:25:12,870 --> 00:25:16,650
1058
+ ู…ุดุงู‡ุฏ ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ z positive ูˆ ุฃูƒุจุฑ ูุจุงู„ุชุงู„ูŠ
1059
+
1060
+ 297
1061
+ 00:25:16,650 --> 00:25:19,630
1062
+ ุจุฌุณู… ุงู„ู€ b value ุนู„ู‰ 2 ุฅุฐุง ุฃู†ุง ุงูƒุชุจู„ูƒ ุนู„ู‰ ู…ู„ุงุญุธุฉ
1063
+
1064
+ 298
1065
+ 00:25:19,630 --> 00:25:34,360
1066
+ ุตุบูŠุฑุฉ we divide b value by two if ุฑู‚ู… ูˆุงุญุฏ ุงู„ู€
1067
+
1068
+ 299
1069
+ 00:25:34,360 --> 00:25:40,940
1070
+ z is positive ูˆ ุงู„ู€ test mu greater than ุฃูƒุจุฑ ู…ู†
1071
+
1072
+ 300
1073
+ 00:25:40,940 --> 00:25:47,700
1074
+ ู…ุงุดูŠ ุฃูƒุจุฑ ู…ู† ุฃูŠ ู‚ูŠู…ุฉ ุฃูˆ ุงู„ู€ z is negative ูˆ ุงู„ู€
1075
+
1076
+ 301
1077
+ 00:25:47,700 --> 00:25:53,870
1078
+ alternative ู…ุงู„ู‡ ู…ูŠูˆ ุฃู‚ู„ ุฅุฐุงู‹ ู†ู‚ู„ P value ู…ู† 2 ุฅุฐุง
1079
+
1080
+ 302
1081
+ 00:25:53,870 --> 00:25:58,770
1082
+ ูƒุงู† ุนู†ุฏ ูˆุงุญุฏ ู…ู† ุงู„ุงุซู†ูŠู† ู‡ุฏูˆู„ ุตุญูŠุญ
1083
+
1084
+ 303
1085
+ 00:25:58,770 --> 00:26:06,050
1086
+ otherwise otherwise ูŠุนู†ูŠ ุฅูŠุดุŸ ููŠ ู…ุนุงุฏู„ ุฐู„ูƒ ู„ูˆ ูƒุงู†
1087
+
1088
+ 304
1089
+ 00:26:06,050 --> 00:26:09,010
1090
+ ุฃูŠ ุญุงุฌุฉ ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ negative ูˆู‡ุฏ ุฃู‚ู„ ุฃูˆ ุชุงู†ูŠ ุนู„ู‰
1091
+
1092
+ 305
1093
+ 00:26:09,010 --> 00:26:16,950
1094
+ ุงู„ุนูƒุณ ุงู„ู€ P value ู…ุด ู‡ุชุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ู€ P value ู„ู€
1095
+
1096
+ 306
1097
+ 00:26:16,950 --> 00:26:21,010
1098
+ new ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ู€ P value ุงู„ู„ูŠ ุนู†ุฏูŠ ู†ู‚ุตู‡ุง ู…ุน
1099
+
1100
+ 307
1101
+ 00:26:21,010 --> 00:26:21,270
1102
+ ุงุซู†ูŠู†
1103
+
1104
+ 308
1105
+ 00:26:24,730 --> 00:26:27,970
1106
+ ุงูƒุชุจูˆุง ูŠุง ุนุฒูŠุฒูŠุŒ ูƒุงู†ุช ู…ู„ุงุญุธุฉ ููŠ ุบุงูŠุฉ ุงู„ุฃู‡ู…ูŠุฉ ู‡ุฐุง
1107
+
1108
+ 309
1109
+ 00:26:27,970 --> 00:26:35,510
1110
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุณุคุงู„ ุงู„ู€ 11 ู†ุจุทู„ ุนู„ู‰ ุงู„ู€ 12 referring
1111
+
1112
+ 310
1113
+ 00:26:35,510 --> 00:26:38,830
1114
+ to 9-6 suppose the engineer had decided that the
1115
+
1116
+ 311
1117
+ 00:26:38,830 --> 00:26:43,650
1118
+ alternative to test was less than was less than
1119
+
1120
+ 312
1121
+ 00:26:43,650 --> 00:26:47,730
1122
+ ุฃู‚ู„ ู…ู† what would be the p-value of this test
1123
+
1124
+ 313
1125
+ 00:26:47,730 --> 00:26:53,510
1126
+ ู„ุญุธุฉุŒ ู‡ูˆ ุญูƒู‰ ุงู„ู€ z positive ู…ุธุจูˆุทุŸ ุญูƒู‰ ุงู„ู€ z
1127
+
1128
+ 314
1129
+ 00:26:53,510 --> 00:26:58,640
1130
+ positive ู…ุด ู‡ูŠูƒ ุญุงุฌุฉ z positive ููŠ ุงู„ุฃูˆู„ ุงู„ู…ุซู„ุฉ ููŠ
1131
+
1132
+ 315
1133
+ 00:26:58,640 --> 00:27:02,700
1134
+ ุงู„ุฃุตู„ ุงู„ู€ scenario ููˆู‚ z positive ุงู„ู…ุซู„ุฉ ุนู†ุฏ z
1135
+
1136
+ 316
1137
+ 00:27:02,700 --> 00:27:10,480
1138
+ positive ูˆุงุด ุนุงูŠุฒู‡ุง ุฃู‚ู„ ู…ู† ู…ู† ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ุดูƒู„ุฉ
1139
+
1140
+ 317
1141
+ 00:27:10,480 --> 00:27:13,920
1142
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ B-value ุฃู†ุง ุญูƒูŠุช otherwise ูŠุนู†ูŠ ู„ูˆ
1143
+
1144
+ 318
1145
+ 00:27:13,920 --> 00:27:19,220
1146
+ ุงุฎุชู„ูุช ุงู„ุฃู…ูˆุฑ ุงู„ู€ B-value ู‡ุชุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ู„ูŠ
1147
+
1148
+ 319
1149
+ 00:27:19,220 --> 00:27:22,970
1150
+ ุนู†ุฏูŠ ุนู„ู‰ ุงุซู†ูŠู† ูŠุนู†ูŠ ู‡ูˆ ู‚ุฏุงุด ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู…ู† ุดูˆูŠุฉ
1151
+
1152
+ 320
1153
+ 00:27:22,970 --> 00:27:26,530
1154
+ ุชุณุนุฉ ูˆุชุณุนูŠู† ู…ู† ู…ู„ูŠูˆู† ูˆุงุถุญ ุฅุฐุง ุณูˆุงุก 11 ูˆ 12 ููŠู‡ ุบุงูŠุฉ
1155
+
1156
+ 321
1157
+ 00:27:26,530 --> 00:27:37,650
1158
+ ุงู„ุฃู‡ู…ูŠุฉ ู‡ูŠ 11 ูˆ 12 ู†ุดูˆู 13 true
1159
+
1160
+ 322
1161
+ 00:27:37,650 --> 00:27:42,530
1162
+ or false ู†ุดูˆู referring to the same scenario if
1163
+
1164
+ 323
1165
+ 00:27:42,530 --> 00:27:45,090
1166
+ the test is performed with a level of significance
1167
+
1168
+ 324
1169
+ 00:27:45,090 --> 00:27:52,050
1170
+ of point 10 ูŠุนู†ูŠ ููŠ ุงู„ู…ุซู„ ุงู„ู„ูŠ ุฃู†ุง ุงุชุจุนุชุงู†ูŠุณุคุงู„ ..
1171
+
1172
+ 325
1173
+ 00:27:52,050 --> 00:27:59,190
1174
+ ุณุคุงู„ 13 ุงุนุทุงู†ูŠ
1175
+
1176
+ 326
1177
+ 00:27:59,190 --> 00:28:03,410
1178
+ alpha 10 percent the
1179
+
1180
+ 327
1181
+ 00:28:03,410 --> 00:28:07,290
1182
+ null would be rejected ุจุงู„ุชุงู… ุฑูุถ ุงู„ูุฑุฏูŠุฉ ุงู„ุตูุฑูŠุฉ
1183
+
1184
+ 328
1185
+ 00:28:07,290 --> 00:28:13,570
1186
+ ุจู‚ุฑุฑู‡ุง ู…ุน ุงู„ู€ B value ุงู„ู€ B value ู‚ุฏุงุด ุญูƒูŠู‡ุง ููŠ ุฑุฃุณ
1187
+
1188
+ 329
1189
+ 00:28:13,570 --> 00:28:19,550
1190
+ ุงู„ู…ุณุงุฑ 8 ู…ู† 100 ู‡ูŠ 8 ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ูˆ ุญูƒู‰ ู…ุด ุนู„ู‰ ุงู„ู€
1191
+
1192
+ 330
1193
+ 00:28:19,550 --> 00:28:22,650
1194
+ .. ู…ุด ุนู„ู‰ ุงู„ู€ 11 ู…ุด ุนู„ู‰ ุงู„ู€ 12 ูˆ 13 ุฃู†ุง ุฑุฃุณ ุงู„ู…ุซู„
1195
+
1196
+ 331
1197
+ 00:28:22,650 --> 00:28:28,290
1198
+ ุงู„ุฃุณุงุณูŠ ู…ูŠ ุฏูˆุฒ ู„ุงุช ูŠูƒูˆูŠู† 650 ุจุฏูŠ ุฃุนู…ู„ ุนู†ุฏ ูˆุงุญุฏ ู…ู†
1199
+
1200
+ 332
1201
+ 00:28:28,290 --> 00:28:32,250
1202
+ ุงู„ุนุดุฑุฉ ุงู„ู€ ุจูŠ ูุงูŠู„ูˆ ุฅูŠุด ูƒุงู† ููŠ ุงู„ุชุณุงูˆูŠุŸ ุงู„ุซู…ุงู†ูŠุฉ ู…ู†
1203
+
1204
+ 333
1205
+ 00:28:32,250 --> 00:28:36,530
1206
+ ู…ูŠุฉ point zero eight just compare b value with
1207
+
1208
+ 334
1209
+ 00:28:36,530 --> 00:28:40,050
1210
+ alpha if the b value is more than alpha then we
1211
+
1212
+ 335
1213
+ 00:28:40,050 --> 00:28:43,730
1214
+ reject the hypothesis ูˆุงุถุญ ุญุงู„ุฉ is less than 10%
1215
+
1216
+ 336
1217
+ 00:28:43,730 --> 00:28:50,180
1218
+ ุฅุฐุง ู† reject it's zero ู‡ูˆ ุจูŠุญูƒูŠ ุฏู„ุงู„ should be
1219
+
1220
+ 337
1221
+ 00:28:50,180 --> 00:28:53,660
1222
+ rejected yes true ุฅุฐุง a is the correct answer ูู„ุณ
1223
+
1224
+ 338
1225
+ 00:28:53,660 --> 00:28:59,320
1226
+ ุฅุฐุง ุงู„ุญู„ ุฅูŠู‡
1227
+
1228
+ 339
1229
+ 00:28:59,320 --> 00:29:03,500
1230
+ ู‡ุฐุง
1231
+
1232
+ 340
1233
+ 00:29:03,500 --> 00:29:09,760
1234
+ eleven ูˆู‡ุฐุง twelve ูˆ thirteen ุงู„ุขู† ุดูˆู fourteen
1235
+
1236
+ 341
1237
+ 00:29:09,760 --> 00:29:14,920
1238
+ ุจุฑุถู‡
1239
+
1240
+ 342
1241
+ 00:29:14,920 --> 00:29:15,600
1242
+ true or false
1243
+
1244
+ 343
1245
+ 00:29:19,640 --> 00:29:22,680
1246
+ ู„ูˆ ุจูŠุญูƒูŠ if the test is performed with level of
1247
+
1248
+ 344
1249
+ 00:29:22,680 --> 00:29:27,260
1250
+ significance alpha 0
1251
+
1252
+ 345
1253
+ 00:29:27,260 --> 00:29:32,160
1254
+ .05 ุงู„ู…ุฑูู‚ุฉ ูƒุงู†ุช 0.10 ุฅู„ุง 0.5 ุงู„ู€ null would be
1255
+
1256
+ 346
1257
+ 00:29:32,160 --> 00:29:41,720
1258
+ rejected ู…ุฑุฉ
1259
+
1260
+ 347
1261
+ 00:29:41,720 --> 00:29:47,080
1262
+ ุชุงู†ูŠุฉ referring to ุณูŠู†ุงุฑูŠูˆ 9 ุน 6 if the test is
1263
+
1264
+ 348
1265
+ 00:29:47,080 --> 00:29:53,760
1266
+ performed at 5% ุงู„ู€ null would be rejectedุŸ ุงู„ุฎู…ุณุฉ
1267
+
1268
+ 349
1269
+ 00:29:53,760 --> 00:30:01,140
1270
+ ุนุงุดุฑุŸ ุฃู†ุง ู„ุฎุจุทุชุŸ ุงุญู†ุง ุญุงู„ูŠู†ุง ู‚ุฏุงุดุฑุŸ ุญุงู„ูŠู†ุง ุฃุฑุจุน ุนุดุฑ
1271
+
1272
+ 350
1273
+ 00:30:01,140 --> 00:30:09,560
1274
+ ู†ุญู† ููŠ ุญุงู„ุฉ ุฃุฑุจุน ุนุดุฑุŸ ุฃู†ุง ุจู‚ุฑุง ููŠ ุฎู…ุณุฉ ุนุงุดุฑ ุงุญู†ุง ููŠ
1275
+
1276
+ 351
1277
+ 00:30:09,560 --> 00:30:16,060
1278
+ ุฃุฑุจุน ุนุดุฑ ุฎู„ุงุต ุทูŠุจ ู…ุฑุฉ ุซุงู†ูŠุฉ if the test performed a
1279
+
1280
+ 352
1281
+ 00:30:16,060 --> 00:30:21,290
1282
+ level of significance 10% ุงู„ุนู„ู…ุงุก ูŠุณุชุทูŠุน ุฃู† ูŠุฎุชู…
1283
+
1284
+ 353
1285
+ 00:30:21,290 --> 00:30:28,930
1286
+ ุฃู‚ู„ ู‚ูŠู…ุฉ ู‚ูˆุฉ ู„ุฅู†ุชุงุฌ ูƒุฑุงูƒุณ 650 ุชุจู‚ู‰ 2 ุชู„ุช ูˆู…ุง ู‡ูŠ 0
1287
+
1288
+ 354
1289
+ 00:30:28,930 --> 00:30:39,090
1290
+ .8 ู‡ู„ ู‡ูŠ ุฃุตุบุฑ ู…ู† 1 ู…ู† ุงู„ุนุดุฑุฉุŸ ุฅูŠุด ุฑุฃูŠูƒู…ุŸ ุงุชู„ู‚ู‰ ู…ุฑุฉ
1291
+
1292
+ 355
1293
+ 00:30:39,090 --> 00:30:41,970
1294
+ ุซุงู†ูŠุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุจ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ 10%
1295
+
1296
+ 356
1297
+ 00:30:41,970 --> 00:30:50,220
1298
+ ุงู„ุนู„ู…ุงุก ูŠุณุชุทูŠุน ุฃู† ูŠุฎุชู… ุฃู‚ู„ ู‚ูŠู…ุฉ ู‚ูˆุฉ we start to
1299
+
1300
+ 357
1301
+ 00:30:50,220 --> 00:30:55,680
1302
+ produce ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุฃู† ุงู„ู€ mean ุจูŠุณุงูˆูŠ 650 ู‡ูˆ ุจูŠุญูƒูŠ
1303
+
1304
+ 358
1305
+ 00:30:55,680 --> 00:31:00,540
1306
+ ูƒุฏู‡ ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡ ุตุญุŸ ุงุญู†ุง ุนู†ุฏ 8% ุงู„ู„ูŠ ุจูŠุจู‚ู‰ we
1307
+
1308
+ 359
1309
+ 00:31:00,540 --> 00:31:07,780
1310
+ reject ู‡ุฐู‡ rejected ุฅุฐุง ุงู„ู€ H0 ู…ุด ุตุญูŠุญ ู‡ูˆ ุฅูŠุด ุญูƒู‰ ุฅุฐุง
1311
+
1312
+ 360
1313
+ 00:31:07,780 --> 00:31:11,820
1314
+ ุงู„ุฌูˆุงุจ ุฅูŠุด ุญูŠูƒูˆู† false B is the correct answer ุฎู„ุงุต
1315
+
1316
+ 361
1317
+ 00:31:11,820 --> 00:31:21,210
1318
+ ู‡ูˆ ุฅูŠุด ุจูŠุญูƒูŠ ูŠุนู†ูŠ ุฅูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนู‡ุŸ ุฅูŠุด ู‚ุฑุงุฑู‡ุŸ ุฅู† ุงู„ู€
1319
+
1320
+ 362
1321
+ 00:31:21,210 --> 00:31:26,630
1322
+ mean ู…ุงู†ูˆ .. ุฅูŠู‡ ูƒุจูŠุฑ ูƒุฐุงุŸ ุฅู† ุงู„ู€ mean ู…ุณุชูˆู‰ 650
1323
+
1324
+ 363
1325
+ 00:31:26,630 --> 00:31:32,150
1326
+ ูŠุนู†ูŠ ู‡ูˆ ู…ุน ุงู„ู‚ุฑุงุฑ ู‡ุฐุง ู‡ู„ ูƒู„ุงู…ู‡ ุตุญ ูˆู„ุง ู„ุฃุŸ ุงู„ู€ B
1327
+
1328
+ 364
1329
+ 00:31:32,150 --> 00:31:36,990
1330
+ value ุจุชุงุนุชู†ุง point 08 ุงู„ู€ alpha ุชุจุนุชูŠ 10% ุนูƒุงู„ูŠู‡ุง
1331
+
1332
+ 365
1333
+ 00:31:36,990 --> 00:31:47,110
1334
+ 10ุŒ ู…ุธุจูˆุทุŸ ู‡ู„ ุงู„ู€ point B value ุฃุตุบุฑ ู…ู† 10%ุŸ 8 ู…ู†
1335
+
1336
+ 366
1337
+ 00:31:47,110 --> 00:31:52,910
1338
+ 100 ุฃุตุบุฑ ุฅุฐุง ู„ู… ูŠูƒู† ู‡ู†ุงูƒ ู‚ุฑุงุฑ ุงุชุฌุงู‡ ุงู„ู€ Zero ุทุจุนุง
1339
+
1340
+ 367
1341
+ 00:31:52,910 --> 00:31:55,690
1342
+ ุงุชุฌุงู‡ ุงู„ู€ Zero ุฅุฐุง ูƒู„ ู‡ุฐุง ู„ูŠุณ ุตุญูŠ ู„ุฃู† ุงุชุฌุงู‡ ุงู„ู€
1343
+
1344
+ 368
1345
+ 00:31:55,690 --> 00:32:01,810
1346
+ Zero ู…ุน ูƒุฏู‡ ู…ูŠู† ุงู„ุตุญูŠ H1ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ูƒู„ ู‡ุฐุง ู„ูŠุณ
1347
+
1348
+ 369
1349
+ 00:32:01,810 --> 00:32:11,770
1350
+ ุตุญูŠ ุฑู‚ู… 15 ุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุฉ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ 5%
1351
+
1352
+ 370
1353
+ 00:32:11,770 --> 00:32:17,010
1354
+ ุฃู„ูู‡ ุจุฎู…ุณุฉุŒ ุงุฎุชู„ูุช ุงู„ุฃู„ูู‡ the null would be rejected
1355
+
1356
+ 371
1357
+ 00:32:17,010 --> 00:32:20,270
1358
+ ุฃู†ุง
1359
+
1360
+ 372
1361
+ 00:32:20,270 --> 00:32:23,830
1362
+ ุฎู„ูŠ ุจุงูƒ ุงู„ู…ุซู„ุฉ ุชุฃุชูŠ ู…ู† ููˆู‚ ุฎุงู„ุต ู‡ูˆ ุงุชุฌุงู‡ 11 ูˆ 12
1363
+
1364
+ 373
1365
+ 00:32:23,830 --> 00:32:26,970
1366
+ ู„ู…ุง ุตุงุฑุช one tail ู„ุฃ ุฃู†ุง ููŠ ุฑุฃุณ ุงู„ู…ุซู„ุฉ ู…ู† ุงู„ู€ ..
1367
+
1368
+ 374
1369
+ 00:32:26,970 --> 00:32:31,930
1370
+ ู…ู† ุงู„ู€ scenario ุงู„ุฃุตู„ูŠ ุฅูŠุด ูƒุงู†ุชุŸ ู„ุง ูŠุณุงูˆูŠ ูˆ 8 ู…ู†
1371
+
1372
+ 375
1373
+ 00:32:31,930 --> 00:32:39,030
1374
+ 100 ู‚ุงุฑู†ู‡ุง ู…ุน Alpha ู‡ู„ ุงู„ู€ B value ุงู„ู„ูŠ ุจุชุณุงูˆูŠ 8
1375
+
1376
+ 376
1377
+ 00:32:39,030 --> 00:32:43,110
1378
+ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฅุฐุง ุฅูŠุด ุงู„ู‚ุฑุงุฑุŸ
1379
+
1380
+ 377
1381
+ 00:32:48,720 --> 00:32:53,680
1382
+ the null would be rejected ุงุญู†ุง ู‚ุฑุฑุด don't reject
1383
+
1384
+ 378
1385
+ 00:32:53,680 --> 00:32:57,920
1386
+ ุฅุฐุง ู‚ุฑุฑ .. ุฅู† ุญูƒู‰ ุงู„ูƒู„ุงู… ุฏู‡ ุฎุทุฃ ุฅุฐุง correct answer
1387
+
1388
+ 379
1389
+ 00:32:57,920 --> 00:33:04,060
1390
+ is B ุฅุฐุง ุงู„ุฎู…ุณุฉ ุนุดุฑ ุจูŠู‡ ุจู†ุฎุชุงุฑ .. ู‡ุฐูˆู„ ู„ุณู‡ ุจุฏู‡ู…
1391
+
1392
+ 380
1393
+ 00:33:04,060 --> 00:33:08,180
1394
+ ุดูˆูŠุฉ ุชุฑูƒูŠุฒ ู†ุดูˆู ุณุชุฉ ุนุดุฑ
1395
+
1396
+ 381
1397
+ 00:33:18,620 --> 00:33:25,740
1398
+ ุจุฑุถู‡ true or false if the test is performed at
1399
+
1400
+ 382
1401
+ 00:33:25,740 --> 00:33:31,900
1402
+ level alpha 5 percent the engineer can conclude
1403
+
1404
+ 383
1405
+ 00:33:31,900 --> 00:33:38,940
1406
+ the mean amount of force to produce is 650 at a
1407
+
1408
+ 384
1409
+ 00:33:38,940 --> 00:33:39,120
1410
+ five
1411
+
1412
+ 385
1413
+ 00:33:47,460 --> 00:33:54,020
1414
+ ู‡ู†ุง ุตุงุฑุช five personsุŒ ู…ุธุจูˆุทุŸ ู‡ูˆ ุงู„ู‚ุฑุงุฑ ุฅูŠุด ุชุงุจุนู‡ุŸ
1415
+
1416
+ 386
1417
+ 00:33:54,020 --> 00:34:03,200
1418
+ ุงู„ู€ 100 ูŠูƒุจุฑ 650 ุฅุฐุง ุฅูŠุด ุงู„ู‚ุฑุงุฑ ุตุญ ูˆู„ุง ุฎุทุฃุŸ
1419
+
1420
+ 387
1421
+ 00:34:03,200 --> 00:34:09,120
1422
+ ุงู„ู„ูŠ ุจูŠุจู‚ู‰ ุนู„ู‰ ุดู…ุงู„ู‡ุง ุซู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒุŸ ุฃูƒุจุฑ ู…ู† ุฃู„ู
1423
+
1424
+ 388
1425
+ 00:34:09,120 --> 00:34:13,980
1426
+ ูŠุนู†ูŠ don't reject ูŠุนู†ูŠ don't ..
1427
+
1428
+ 389
1429
+ 00:34:16,950 --> 00:34:25,110
1430
+ rejectุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง
1431
+
1432
+ 390
1433
+ 00:34:25,110 --> 00:34:31,970
1434
+ ุงู„ู€ 16 ููŠู‡ุง ุฎุทุฃุŒ ุชุฑูƒุฒูˆุง ู…ุนุงูŠุงุŒ ููŠ 16 ุงู„ู€ alpha 5
1435
+
1436
+ 391
1437
+ 00:34:31,970 --> 00:34:36,150
1438
+ percent the engineer can include the mean amount
1439
+
1440
+ 392
1441
+ 00:34:36,150 --> 00:34:39,710
1442
+ of force to produce cracks in stressed oak
1443
+
1444
+ 39
1445
+
1446
+ 431
1447
+ 00:38:37,540 --> 00:38:42,900
1448
+ is a number
1449
+
1450
+ 432
1451
+ 00:38:42,900 --> 00:38:46,720
1452
+ 18, suppose
1453
+
1454
+ 433
1455
+ 00:38:46,720 --> 00:38:49,740
1456
+ the engineer had decided that the alternative to
1457
+
1458
+ 434
1459
+ 00:38:49,740 --> 00:38:53,260
1460
+ test was the mean was less than 650
1461
+
1462
+ 435
1463
+ 00:38:59,800 --> 00:39:08,440
1464
+ ุซู… ุฅุฐุง ุชู… ุชุฌุงุฑุจ ุงู„ุงุฎุชุตุงุฑ ุจู‚ูŠู…ุฉ 5% ุฑุงูƒุฒูŠ ู…ุนูƒ ุซุงู†ูŠ
1465
+
1466
+ 436
1467
+ 00:39:08,440 --> 00:39:13,920
1468
+ ุงู„ู€ z positive ูˆู‡ุฐุง
1469
+
1470
+ 437
1471
+ 00:39:13,920 --> 00:39:18,600
1472
+ ุฃู‚ู„ ุงู„ู€ p value ุดูˆ ู‡ุชุณุงูˆูŠุŸ
1473
+
1474
+ 438
1475
+ 00:39:18,600 --> 00:39:24,120
1476
+ one minus ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ 96 reject ูˆู„ุง don't rejectุŸ
1477
+
1478
+ 439
1479
+ 00:39:25,890 --> 00:39:29,530
1480
+ ุฅูŠู‡ุŸ ู„ุฃู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุฃุตุบุฑ ุฃูˆ ุฃูƒุจุฑ ู…ู† 5%ุŸ ุฃูƒุจุฑ ุจูƒุซูŠุฑ ู…ู†
1481
+
1482
+ 440
1483
+ 00:39:29,530 --> 00:39:39,230
1484
+ 5% ุฅุฐุง don't reject H0 ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู€ ุงุซู†ูŠู† ูุจูŠุญูƒูŠ
1485
+
1486
+ 441
1487
+ 00:39:39,230 --> 00:39:42,130
1488
+ ุงู„ู€ .. the null would be rejected ุงุญู†ุง ู…ุด ุญูƒูŠู†ุง
1489
+
1490
+ 442
1491
+ 00:39:42,130 --> 00:39:48,070
1492
+ don't reject ุฅุฐุง correct answer is B ูˆุงุถุญ
1493
+
1494
+ 443
1495
+ 00:39:48,070 --> 00:39:51,590
1496
+ ู„ุณู‡ ุฃู†ุง ุจุฏุฃ ุงู„ุขู† ุชููƒูŠุฑ ู…ุด ู…ุฌุฑุฏ ุฃูƒูˆู† ุญุงูุธ ุฃูˆ ุญู„ ู‡ุฐุง
1497
+
1498
+ 444
1499
+ 00:39:51,590 --> 00:39:53,590
1500
+ ุงู„ุณุคุงู„ ูƒูˆูŠุณ ูŠุนู†ูŠ ุจุฏุฃ ุดุจูŠู‡ ุดุบู„
1501
+
1502
+ 445
1503
+ 00:39:59,170 --> 00:40:04,070
1504
+ ุดูˆู ุญุณุจ ุงู„ู€ edition ุชุจุนุชูƒุŒ ู‡ุงูŠ ุงู„ู€ edition seven ุฅุฐุง
1505
+
1506
+ 446
1507
+ 00:40:04,070 --> 00:40:10,550
1508
+ ู†ูุณ ุงู„ุทุจุนุฉ ุจุชูƒูˆู† ู†ูุณ ุงู„ุฃุณุฆู„ุฉ ุฃุญูŠุงู†ุงู‹ ุจุชุบูŠุฑ ุงู„ุฃุฑู‚ุงู…
1509
+
1510
+ 447
1511
+ 00:40:10,550 --> 00:40:19,690
1512
+ ุจุณ ู†ูุณ ุงู„ููƒุฑุฉ ู…ู…ูƒู† ู†ุดูˆู
1513
+
1514
+ 448
1515
+ 00:40:19,690 --> 00:40:20,130
1516
+ ุงู„ู„ูŠ ุจุนุฏู‡
1517
+
1518
+ 449
1519
+ 00:40:36,210 --> 00:40:45,230
1520
+ ุฅุฐุง ุงู„ุจุงุญุซ ู„ู… ูŠุฑูุถ null ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ูˆุฃู†ุง ู„ุง ุฃุฑูุถ
1521
+
1522
+ 450
1523
+ 00:40:45,230 --> 00:40:51,870
1524
+ null ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ
1525
+
1526
+ 451
1527
+ 00:40:54,110 --> 00:41:01,090
1528
+ ู‡ูŠ ุฅูŠุด ุญูƒุงูŠุชู‡ุงุŸ don't reject true ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุตุญ ุจุฑูุถ
1529
+
1530
+ 452
1531
+ 00:41:01,090 --> 00:41:04,470
1532
+ ุงู„ุดูŠุก ุตุญ is a correct decision ู„ุฅู† ุงู„ู€ correct ุจูŠุฌูŠ
1533
+
1534
+ 453
1535
+ 00:41:04,470 --> 00:41:06,750
1536
+ ู…ู† ูˆูŠู†ุŸ either don't reject the null when it is
1537
+
1538
+ 454
1539
+ 00:41:06,750 --> 00:41:11,130
1540
+ true or reject it's false ููŠ ุญุงู„ุชูŠู† ุงู„ู€ true ุงู„ู€ type
1541
+
1542
+ 455
1543
+ 00:41:11,130 --> 00:41:16,210
1544
+ one error reject the null when it is true ูˆ ุงู„ู€ type
1545
+
1546
+ 456
1547
+ 00:41:16,210 --> 00:41:19,770
1548
+ two don't reject when it is false ูุจุงู„ุชุงู„ูŠ a
1549
+
1550
+ 457
1551
+ 00:41:19,770 --> 00:41:20,330
1552
+ correct decision
1553
+
1554
+ 458
1555
+ 00:41:37,700 --> 00:41:41,800
1556
+ ุงู„ุณุคุงู„ ุงู„ู€ twenty which
1557
+
1558
+ 459
1559
+ 00:41:41,800 --> 00:41:48,700
1560
+ of the following is not trueุŸ ุจูŠุญูƒูŠ ุงู„ู†ูˆุนูŠุฉ
1561
+
1562
+ 460
1563
+ 00:41:48,700 --> 00:41:56,180
1564
+ ุงู„ุชุงู†ูŠุฉ ู…ู† ุงู„ุฃุณุฆู„ุฉ ู…ูŠู† ู…ู† ู‡ุฏูˆู„ ู…ุด ุตุญ about the
1565
+
1566
+ 461
1567
+ 00:41:56,180 --> 00:42:00,140
1568
+ level of significance ู…ูŠู† ู…ุด ุตุญ ุจุงู„ู†ุณุจุฉ ู„ู€ alphaุŸ
1569
+
1570
+ 462
1571
+ 00:42:00,140 --> 00:42:03,820
1572
+ ู„ุงุฒู… ุฃุญุท ููŠ ุฏู…ุงุบูƒ ุชุนุฑูŠู ุงู„ู€ alphaุŒ ู…ุธุจูˆุทุŸ ุงู„ู€ alpha
1573
+
1574
+ 463
1575
+ 00:42:03,820 --> 00:42:08,990
1576
+ ุงู„ุดุนุฑ ุงู„ุชุนุฑูŠู ุฃู†ุง ููŠ ุนู†ุฏูŠ ุงู„ู€ type 1 error ู…ุธุจูˆุท
1577
+
1578
+ 464
1579
+ 00:42:08,990 --> 00:42:14,970
1580
+ ูˆ ุงู„ู€ alpha ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ probability ู„ู„ู€ type 1
1581
+
1582
+ 465
1583
+ 00:42:14,970 --> 00:42:18,710
1584
+ error ูˆ ุงู„ู€ type 1 error ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ reject
1585
+
1586
+ 466
1587
+ 00:42:18,710 --> 00:42:25,610
1588
+ the null hypothesis ู„ุงุฒู…ุŒ ู„ูˆ ุฌุงู…ุญู„ูŠ ู…ุซู„ุงู‹ ุฃุญุท
1589
+
1590
+ 467
1591
+ 00:42:25,610 --> 00:42:29,130
1592
+ ุงู„ูƒู„ุงู… ุฏู‡ ุฅู…ุง ุฃู†ุง ู…ุชุฎูŠู„ู‡ ุฃูˆ ุฃูƒุชุจ ุนู„ู‰ ูˆุฑู‚ุฉ ูŠุนู†ูŠ
1593
+
1594
+ 468
1595
+ 00:42:29,130 --> 00:42:34,010
1596
+ ู„ุงุญุธูˆุง ุฃู†ุง ุจูƒุชุจุŒ ุจูƒุชุจุด ูƒู„ุงู… ูˆุงุถุญ ุจู„ ุฃู†ุง ูŠุนู†ูŠ scratch
1597
+
1598
+ 469
1599
+ 00:42:35,300 --> 00:42:39,500
1600
+ ู…ุด ู‡ุฐุง ู…ุทู„ูˆุจ ูŠุนู†ูŠ ุฃูŠ ุญุงุฌุฉ ุจูƒุชุจ ู„ุฅู† ุงู„ู‡ุฏู ู…ุด ู‡ูŠูƒ
1601
+
1602
+ 470
1603
+ 00:42:39,500 --> 00:42:43,340
1604
+ ุงู„ู‡ุฏู ุฃูู‡ู… ุงู„ู†ุงุณ ู„ุฃ ูŠุง ู…ุง ุจูƒุชุจ ุฅุฐุง ุทุจูŠุนุชูŠ ู…ุชุนูˆุฏ
1605
+
1606
+ 471
1607
+ 00:42:43,340 --> 00:42:47,320
1608
+ ุนู„ู‰ ูƒุชุงุจุฉ ุจูƒุชุจ ู…ุด ู…ุชุนูˆุฏ ุฃุฎู„ูŠู‡ุง ุนู„ู‰ ุดุฑูŠุท ู…ูˆุฑ ู…ุนู‡
1609
+
1610
+ 472
1611
+ 00:42:47,320 --> 00:42:51,700
1612
+ the level of significance is also called alpha ู‡ุฐู‡
1613
+
1614
+ 473
1615
+ 00:42:51,700 --> 00:43:00,960
1616
+ ู…ุธุจูˆุทุฉ ู…ุธุจูˆุท ุงู„ู€ significance ู‡ูŠ alpha ุฅุฐุง ุฃู†ุช ุตุญุทุจ
1617
+
1618
+ 474
1619
+ 00:43:00,960 --> 00:43:04,180
1620
+ ุฏู‡ ุฃุณุฃู„ูƒ ุงู„ู€ observed ู„ูˆ ูƒุชุจุช ู‡ู†ุง the observed
1621
+
1622
+ 475
1623
+ 00:43:04,180 --> 00:43:10,380
1624
+ level ุฅูŠุด ุจู†ุณู…ูŠู‡ุŸ the observed significance levelุŸ
1625
+
1626
+ 476
1627
+ 00:43:10,380 --> 00:43:14,780
1628
+ ู…ูŠู†
1629
+
1630
+ 477
1631
+ 00:43:14,780 --> 00:43:17,000
1632
+ ุงู„ู€ observed significance levelุŸ ุฏู‡ ู…ูŠุฒ ู…ู† ุงู„ู€
1633
+
1634
+ 478
1635
+ 00:43:17,000 --> 00:43:20,720
1636
+ significance level ูˆ ุงู„ู€ observed significance
1637
+
1638
+ 479
1639
+ 00:43:20,720 --> 00:43:27,720
1640
+ level ุงู„ู€ p value ุงู„ู€ p value the observed
1641
+
1642
+ 480
1643
+ 00:43:27,720 --> 00:43:31,000
1644
+ significance level ู‡ูˆ ุจูŠุญูƒูŠ ุนู„ู‰ ุงู„ู€ significance level
1645
+
1646
+ 481
1647
+ 00:43:31,000 --> 00:43:37,340
1648
+ alpha ูƒู„ุงู… ุตุญ ุจูŠ significance level is another
1649
+
1650
+ 482
1651
+ 00:43:37,340 --> 00:43:41,000
1652
+ name for type 2 error ู„ุญุธุฉ ุฃู†ุง ูƒู†ุช ุจู‚ูˆู„ type 1
1653
+
1654
+ 483
1655
+ 00:43:41,000 --> 00:43:45,180
1656
+ ุฅุฐุง ู‡ุฐู‡ ุบู„ุท ุฅุฐุง ุงู„ู€ automatic ู‡ุฐู‡ ู…ุด ุตุญ ุทุจ ู†ูƒู…ู„
1657
+
1658
+ 484
1659
+ 00:43:45,180 --> 00:43:49,520
1660
+ ู†ูุณูŠ ุฃู†ุง ู…ุง ู‚ุฑุฃุช ู‡ุฐู‡ ู‚ุฑุฃุช C the larger the level
1661
+
1662
+ 485
1663
+ 00:43:49,520 --> 00:43:52,640
1664
+ of significance the more likely you are to reject
1665
+
1666
+ 486
1667
+ 00:43:52,640 --> 00:43:57,000
1668
+ the null hypothesis the
1669
+
1670
+ 487
1671
+ 00:43:57,000 --> 00:44:00,470
1672
+ larger the level of significance ูŠุนู†ูŠ ุงู„ู€ alpha ู„ู…ุง
1673
+
1674
+ 488
1675
+ 00:44:00,470 --> 00:44:04,270
1676
+ ุจุชูƒุจุฑ ู…ุด ุงู„ู€ p value ุงู„ู€ alpha the more likely you
1677
+
1678
+ 489
1679
+ 00:44:04,270 --> 00:44:09,550
1680
+ are to reject ูƒู„ุงู… ุตุญ ู„ุฃู† ู„ู…ุง ุจุชูƒุจุฑ ุจูŠุตูŠุฑ ุงู„ู€ p
1681
+
1682
+ 490
1683
+ 00:44:09,550 --> 00:44:12,990
1684
+ value ุฃุตุบุฑ ู…ู†ู‡ุง ุฑูƒุฒูŠ ู…ุนูŠ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช ุงู„ู€ p
1685
+
1686
+ 491
1687
+ 00:44:12,990 --> 00:44:19,890
1688
+ value equal 104 ูˆ alpha 5% ุนุดุงู† ุงู„ู‚ุฑุงุฑ
1689
+
1690
+ 492
1691
+ 00:44:19,890 --> 00:44:24,890
1692
+ reject ู…ุธุจูˆุท ู„ุฃู†
1693
+
1694
+ 493
1695
+ 00:44:24,890 --> 00:44:30,440
1696
+ ุงู„ู€ p value ุฃู‚ู„ ุฎู„ูŠู†ูŠ ุฃุญูƒูŠ ู‡ุฐู‡ ุจุชุณุงูˆูŠุŒ ู…ุด ูƒุฏู‡ุŒ ุณุชุฉ
1697
+
1698
+ 494
1699
+ 00:44:30,440 --> 00:44:35,980
1700
+ ู…ู† ุฃู„ูุŒ we don't rejectุŒ ู…ุธุจูˆุทุŸ ุทูŠุจุŒ ู‡ูˆ ุฅูŠุด ุจูŠุญูƒูŠุŸ
1701
+
1702
+ 495
1703
+ 00:44:35,980 --> 00:44:39,040
1704
+ the larger the level of significanceุŒ ูŠุนู†ูŠ ุฃู„ูุฉ ู…ุง
1705
+
1706
+ 496
1707
+ 00:44:39,040 --> 00:44:43,700
1708
+ ู„ู‡ุง ุงู„ุฒูŠุฏุŒ ุฎู„ูŠ p ุจูŠู‚ู‰ ู„ุฒู…ูŠุฉุŒ ุงู„ุฒูŠุฏ ุฎู„ูŠู‡ ูŠุนู†ูŠ ู…ุซู„ุงู‹
1709
+
1710
+ 497
1711
+ 00:44:43,700 --> 00:44:49,400
1712
+ ุจุนุดุฑุฉุŒ ุจูŠุตูŠุฑ rejectedุŒ ุฅุฐุง the larger the level of
1713
+
1714
+ 498
1715
+ 00:44:49,400 --> 00:44:54,600
1716
+ significance, the more likely you are to reject ุงู„ู„ูŠ
1717
+
1718
+ 499
1719
+ 00:44:54,600 --> 00:44:57,660
1720
+ ุจุนุฏู‡ ุงู„ู€ level of significance is the maximum risk
1721
+
1722
+ 500
1723
+ 00:44:57,660 --> 00:45:01,760
1724
+ we are willing to accept in making type 1 error
1725
+
1726
+ 501
1727
+ 00:45:01,760 --> 00:45:06,480
1728
+ ูƒู„ุงู… ุตุญ ุงู„ู€ level is the maximum risk ุฃูƒุซุฑ ุดูŠุก ู…ู…ูƒู†
1729
+
1730
+ 502
1731
+ 00:45:06,480 --> 00:45:11,760
1732
+ ุฃู‚ุน ููŠ ู…ุฎุงุทุฑุฉ ูŠุง ุจูŠุงุฎุฏ alpha 5% or less ู‡ุงูŠ ู…ุนู†ุงู‡ุง
1733
+
1734
+ 503
1735
+ 00:45:11,760 --> 00:45:15,840
1736
+ ุฅุฐุง ุงู„ู€ 20 the correct answer is B B ู…ุนู†ุงู‡ุง that is
1737
+
1738
+ 504
1739
+ 00:45:15,840 --> 00:45:21,080
1740
+ not true ุจุงู„ู†ุณุจุฉ ู„ู†ุง ูˆ ุจูŠุญูƒูŠ ู…ูŠู† ู‡ูŠ ู…ุด ุตุญ ุฅุฐุง ุงู„ู€ 20
1741
+
1742
+ 505
1743
+ 00:45:21,080 --> 00:45:27,560
1744
+ ู…ุธุจูˆุทุฉ ุงู„ู€ 21 ู‡ุงู„ุชู†ุชูŠู†
1745
+
1746
+ 506
1747
+ 00:45:27,560 --> 00:45:32,480
1748
+ ูˆู†ุฎู„ุต ุงู„ู€ 21 type 1 error is committed ูˆูŠู†ุŸ ุงู„ู€
1749
+
1750
+ 507
1751
+ 00:45:32,480 --> 00:45:37,400
1752
+ type 1 error ูˆู‚ุช ุฅูŠุด ุจูŠุญุฏุซุŸ ูˆูŠู†ุŸ ู‡ุงูŠ ุงู„ู„ูŠ ุฃู†ุง
1753
+
1754
+ 508
1755
+ 00:45:37,400 --> 00:45:41,180
1756
+ ูƒุชุจู„ูƒ ู‡ูŠ type 1 error ุงู„ู€ type rejected the
1757
+
1758
+ 509
1759
+ 00:45:41,180 --> 00:45:48,960
1760
+ null you rejected the null ุฅุฐุง ุงู„ู€ 21 is C the
1761
+
1762
+ 510
1763
+ 00:45:48,960 --> 00:45:52,920
1764
+ correct answer ุฃู†ุง ูƒุชุจุช ุงู„ุชุนุฑูŠู type one it rejected
1765
+
1766
+ 511
1767
+ 00:45:52,920 --> 00:46:02,160
1768
+ a true null hypothesis 22 ุงู„ู„ูŠ ุจุนุฏู‡ if a test of
1769
+
1770
+ 512
1771
+ 00:46:02,160 --> 00:46:06,500
1772
+ hypothesis has a type one error alpha one percent
1773
+
1774
+ 513
1775
+ 00:46:06,500 --> 00:46:11,980
1776
+ it means that ุฅุฐุง
1777
+
1778
+ 514
1779
+ 00:46:11,980 --> 00:46:19,570
1780
+ ุงู„ู€ type one error ุนู†ุฏู‡ probability ู‡ูŠูƒ ูŠุนู†ูŠ ุงู„ู€
1781
+
1782
+ 515
1783
+ 00:46:19,570 --> 00:46:30,570
1784
+ alpha ุณูˆู‘ุช ูˆุงุญุฏ ููŠ ุงู„ู…ุฆุฉ then if the null is false
1785
+
1786
+ 516
1787
+ 00:46:30,570 --> 00:46:36,770
1788
+ you reject it at one percent of the time ุฅูŠุด
1789
+
1790
+ 517
1791
+ 00:46:36,770 --> 00:46:41,610
1792
+ ุฑุฃูŠูƒู…ุŸ ุฅูŠุด ุงู„ู€ correct answer ุงู„ู„ูŠ ูุงุชุชุŸ ุทู„ุน ุนู„ู‰
1793
+
1794
+ 518
1795
+ 00:46:41,610 --> 00:46:43,090
1796
+ ุงู„ุฃุณุฆู„ุฉ 22 correct answer
1797
+
1798
+ 519
1799
+ 00:46:45,750 --> 00:46:49,770
1800
+ C ุฅูŠุด ุจูŠุญูƒูŠ if the null is true you reject it at
1801
+
1802
+ 520
1803
+ 00:46:49,770 --> 00:46:53,670
1804
+ one percent ู„ุญุธุฉ ุฅูŠุด ุญูƒูŠุช reject true null
1805
+
1806
+ 521
1807
+ 00:46:53,670 --> 00:46:58,730
1808
+ hypothesis ู‡ูŠ ุจุฑุงูˆูŠ ู„ุณู‡ ูˆุงุญุฏ ููŠ ุงู„ู…ุฆุฉ ุฅุฐุง if the
1809
+
1810
+ 522
1811
+ 00:46:58,730 --> 00:47:01,770
1812
+ null is true you reject it at one percent ุฅุฐุง ู‡ุฐุง
1813
+
1814
+ 523
1815
+ 00:47:01,770 --> 00:47:06,810
1816
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ู‡ุฐุง false ูƒู„ู…ุฉ false ุฅุฐุง correct
1817
+
1818
+ 524
1819
+ 00:47:06,810 --> 00:47:15,150
1820
+ answer is C ุฅุฐุง ู‡ุฐุง C C
1821
+
1822
+ 525
1823
+ 00:47:19,370 --> 00:47:35,910
1824
+ ุงู„ู€ 23 ุณุคุงู„ 23 ุฅูŠุด
1825
+
1826
+ 526
1827
+ 00:47:35,910 --> 00:47:41,530
1828
+ ุงู„ู€ quiz 4 ุฅู† ุดุงุก ุงู„ู„ู‡ .. ุฅู† ุดุงุก ุงู„ู„ู‡ ุญูƒูŠุช ู‚ุจู„
1829
+
1830
+ 527
1831
+ 00:47:41,530 --> 00:47:45,150
1832
+ ู†ุชูŠุฌุฉ ุงู„ู€ quiz ุชุจุน ูŠูˆู… ุงู„ุฃุฑุจุนุงุก ููŠ chapter 9 ู„ุบุงูŠุฉ
1833
+
1834
+ 528
1835
+ 00:47:45,150 --> 00:47:51,500
1836
+ ุงู„ู€ proportion ูŠุนู†ูŠ chapter ุชุณุนุฉ ุงู„ู…ูŠู† ุจุณ ุงู„ุณุคุงู„
1837
+
1838
+ 529
1839
+ 00:47:51,500 --> 00:48:00,640
1840
+ ุซู„ุงุซุฉ ูˆ ุนุดุฑูŠู† for
1841
+
1842
+ 530
1843
+ 00:48:00,640 --> 00:48:03,700
1844
+ a given level of significance if the sample size
1845
+
1846
+ 531
1847
+ 00:48:03,700 --> 00:48:10,480
1848
+ is increased is there any ุฒูŠุงุฏุฉ in increased but
1849
+
1850
+ 532
1851
+ 00:48:10,480 --> 00:48:15,170
1852
+ the summary statistics remain the same the
1853
+
1854
+ 533
1855
+ 00:48:15,170 --> 00:48:17,850
1856
+ probability of committing type 1 error will
1857
+
1858
+ 534
1859
+ 00:48:17,850 --> 00:48:22,770
1860
+ increase ุจูŠุญูƒูŠ
1861
+
1862
+ 535
1863
+ 00:48:22,770 --> 00:48:29,310
1864
+ ุฅุฐุง ุงู„ู€ N ุฒุงุฏุชุŒ ูƒุจุฑุช ูˆ ุฎู„ู‘ุช ุงู„ุจุงู‚ูŠ ู„ู„ู€ statistics ุฒูŠ
1865
+
1866
+ 536
1867
+ 00:48:29,310 --> 00:48:33,550
1868
+ ู…ุง ู‡ู…ุง ุงู„ู€ probability of committing type 1 error
1869
+
1870
+ 537
1871
+ 00:48:33,550 --> 00:48:38,810
1872
+ will increase ูŠุนู†ูŠ
1873
+
1874
+ 538
1875
+ 00:48:38,810 --> 00:48:44,610
1876
+ ุฑูุถ ุงู„ู€ null ุนู†ุฏู…ุง ูŠูƒูˆู† ุตุญูŠุญ ุจุชุฒูŠุฏ ูˆู„ุง .. ู‡ูˆ ุจูŠุญูƒูŠ ุจุฒูŠุฏ
1877
+
1878
+ 539
1879
+ 00:48:44,610 --> 00:48:49,530
1880
+ ู…ุฑุฉ ุซุงู†ูŠุฉ ุงู„ู€ probability of committing type I
1881
+
1882
+ 540
1883
+ 00:48:49,530 --> 00:48:53,470
1884
+ error will increase ูŠุนู†ูŠ
1885
+
1886
+ 541
1887
+ 00:48:53,470 --> 00:48:58,190
1888
+ ุงุญุชู…ุงู„ ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุฃ ู…ู† ุงู„ุฃูˆู„ ุจูŠุฒูŠุฏ ู„ูˆ N ุฒุงุฏุช ู‡ูŠ
1889
+
1890
+ 542
1891
+ 00:48:58,190 --> 00:49:02,190
1892
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุนูƒุณูŠุฉ ุจุงู„ุชุงู„ูŠ false ุฅุฐุง ุซู„ุงุซุฉ ูˆ
1893
+
1894
+ 543
1895
+ 00:49:02,190 --> 00:49:13,030
1896
+ ุนุดุฑูŠู† false ุฅุฐุง ุซู„ุงุซุฉ ูˆ ุนุดุฑูŠู† B ุงู„ู€ .. ุงู„ู€ .. ู„ู…ุง ุงู„ู€
1897
+
1898
+ 544
1899
+ 00:49:13,030 --> 00:49:16,690
1900
+ N ุจูŠุฒูŠุฏ ุงู„ู€ probability of type I error ุฏุงุฆู…ุงู‹
1901
+
1902
+ 545
1903
+ 00:49:16,690 --> 00:49:23,990
1904
+ ุจุชู‚ู„ู„ ุงู„ู‚ุงุนุฏุฉ ู…ุง ุจูŠู† ุงู„ู€ alpha ูˆุฅุฐุง ุงู„ู€ N ุฒุงุฏุช
1905
+
1906
+ 546
1907
+ 00:49:23,990 --> 00:49:33,350
1908
+ ูุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุนูƒุณูŠุฉ ุฅุฐุง ุงู„ู€ N ุฒุงุฏุช ุงู„ู€ type I error
1909
+
1910
+ 547
1911
+ 00:49:33,350 --> 00:49:42,030
1912
+ ู…ุง ู„ู‡ ุงู„ู€ probability ุชุจุนุชู‡ ุจุชู‚ู„ ุทุจ ุจุนุฏู‡ุง ุนู„ู‰
1913
+
1914
+ 548
1915
+ 00:49:42,030 --> 00:49:44,030
1916
+ ู…ุฌู…ูˆุนุงุช ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
1917
+
1918
+ 549
1919
+ 00:49:44,030 --> 00:49:44,530
1920
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
1921
+
1922
+ 550
1923
+ 00:49:44,530 --> 00:49:48,010
1924
+ ู…ุฌุฑุฏ
1925
+
1926
+ 551
1927
+ 00:49:48,010 --> 00:49:50,190
1928
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
1929
+
1930
+ 552
1931
+ 00:49:50,190 --> 00:49:50,470
1932
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
1933
+
1934
+ 553
1935
+ 00:49:50,470 --> 00:49:55,170
1936
+ ู…ุฌุฑุฏ
1937
+
1938
+ 554
1939
+ 00:50:12,640 --> 00:50:16,440
1940
+ ุงุฎุชูŠ ู…ู† ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† for a given level of
1941
+
1942
+ 555
1943
+ 00:50:16,440 --> 00:50:19,060
1944
+ significance alpha if the sample size is increased
1945
+
1946
+ 556
1947
+ 00:50:19,060 --> 00:50:23,280
1948
+ ุญูƒูŠู†ุง
1949
+
1950
+ 557
1951
+ 00:50:23,280 --> 00:50:29,260
1952
+ ุนู„ูŠู‡ุง ู‚ุจู„ ู‡ูŠูƒ ุนูƒุณู‡ุง ู…ุธุจูˆุท will decrease ู‡ุฏูˆู„ ุงู„ู€
1953
+
1954
+ 558
1955
+ 00:50:29,260 --> 00:50:31,920
1956
+ relationship between alpha ูˆ beta ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ู‚ุจู„
1957
+
1958
+ 559
1959
+ 00:50:31,920 --> 00:50:35,400
1960
+ ู‡ูŠูƒ ุฎู„ุงุต
1961
+
1962
+ 560
1963
+ 00:50:35,400 --> 00:50:38,400
1964
+ ู„ุณู‡ ุชุชุนุฑู ู†ูุณ ุงู„ููƒุฑุฉ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/gmoQk3BAmdM_postprocess.srt ADDED
@@ -0,0 +1,2240 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:23,950
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ will give
4
+
5
+ 2
6
+ 00:00:23,950 --> 00:00:29,590
7
+ practice problems for chapter 9 some of these
8
+
9
+ 3
10
+ 00:00:29,590 --> 00:00:35,690
11
+ problems are short answers the others are multiple
12
+
13
+ 4
14
+ 00:00:35,690 --> 00:00:40,550
15
+ choice let's start with the first question short
16
+
17
+ 5
18
+ 00:00:40,550 --> 00:00:45,310
19
+ answer write the word or phrase that best
20
+
21
+ 6
22
+ 00:00:45,310 --> 00:00:48,390
23
+ completes each statement or answers the question
24
+
25
+ 7
26
+ 00:00:52,040 --> 00:00:57,560
27
+ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ู‡ูˆ
28
+
29
+ 8
30
+ 00:00:57,560 --> 00:01:03,920
31
+ ู…ุง ูŠุณู…ู‰ ู‚ูŠู…ุฉ ุชู‚ุฑุฑ ู…ุฌุชู…ุน ู…ู† ู…ุฌุชู…ุน ุบูŠุฑ ู…ุฌุชู…ุน ู‡ุฐุง
32
+
33
+ 9
34
+ 00:01:03,920 --> 00:01:09,500
35
+ ุงู„ู…ูู‡ูˆู… ุงู„ู„ูŠ ุฃุฎุฏู†ุง ู‡ูˆ ู‚ูŠู…ุฉ ูƒุฑูŠุชูƒุงู„ ู‡ู„ ุชุชุฐูƒุฑูŠู† ุฃู†ู†ุง
36
+
37
+ 10
38
+ 00:01:09,500 --> 00:01:14,160
39
+ ูƒู†ุง ู†ุญูƒูŠ ุนู† ู‚ูŠู…ุฉ
40
+
41
+ 11
42
+ 00:01:14,160 --> 00:01:15,380
43
+ ูƒุฑูŠุชูƒุงู„ุŸ
44
+
45
+ 12
46
+ 00:01:21,000 --> 00:01:26,080
47
+ ูˆู‡ุฐุง ุงู„ุชุงู†ูŠ critical value ู‡ุฐุง ุณู…ูŠู†ุงู‡ rejection
48
+
49
+ 13
50
+ 00:01:26,080 --> 00:01:32,000
51
+ region ูˆ ุงู„ right rejection ูˆ ุงู„ููŠ ุงู„ู†ุต non
52
+
53
+ 14
54
+ 00:01:32,000 --> 00:01:36,580
55
+ rejection ูู‡ูˆ
56
+
57
+ 15
58
+ 00:01:36,580 --> 00:01:40,980
59
+ ุจูŠุญูƒูŠ ุงู„ value ุงู„ separates ุงู„ู„ูŠ ุจุชูุตู„ rejection
60
+
61
+ 16
62
+ 00:01:40,980 --> 00:01:44,460
63
+ region from non rejection ุงู„ู„ูŠ ุจุชูุตู„ ุงู„ rejection
64
+
65
+ 17
66
+ 00:01:44,460 --> 00:01:47,440
67
+ ุนู† ุงู„ non rejection ุงู„ critical values ูุงู„ุฌูˆุงุจ
68
+
69
+ 18
70
+ 00:01:47,440 --> 00:01:52,190
71
+ ุนุจุงุฑุฉ ุนู† ุงู„ critical valuesุงู„ู€ Multiple choice
72
+
73
+ 19
74
+ 00:01:52,190 --> 00:01:58,370
75
+ ุจูŠุณุฃู„ ุชุฎุชุงุฑ ุฅุญุฏู‰ ุงู„ุฅุณุชุฎุฏุงู…ุงุช ุงู„ุชูŠ ุชูƒู…ู„ ุฃูุถู„ ู‚ุตุฉ ุฃูˆ
76
+
77
+ 20
78
+ 00:01:58,370 --> 00:02:02,390
79
+ ุฅุฌุงุจุฉ ุงู„ุณุคุงู„ ุฅุนุทุงุก
80
+
81
+ 21
82
+ 00:02:02,390 --> 00:02:04,950
83
+ true ุฃูˆ false ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
84
+
85
+ 22
86
+ 00:02:04,950 --> 00:02:06,810
87
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
88
+
89
+ 23
90
+ 00:02:06,810 --> 00:02:07,450
91
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
92
+
93
+ 24
94
+ 00:02:07,450 --> 00:02:08,390
95
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
96
+
97
+ 25
98
+ 00:02:08,390 --> 00:02:08,410
99
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
100
+
101
+ 26
102
+ 00:02:08,410 --> 00:02:08,430
103
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
104
+
105
+ 27
106
+ 00:02:08,430 --> 00:02:11,750
107
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ
108
+
109
+ 28
110
+ 00:02:11,750 --> 00:02:19,350
111
+ ู…ุฎุชู„ูุฉ
112
+
113
+ 29
114
+ 00:02:19,350 --> 00:02:20,570
115
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุช
116
+
117
+ 30
118
+ 00:02:24,010 --> 00:02:29,270
119
+ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ู†ุงู„ูŠุฉ ูŠุฌุจ ุฃู† ุชุชู†ู‚ู„ ุฅุฐุง ูƒุงู†ุช ู…ุฑุญู„ุฉ
120
+
121
+ 31
122
+ 00:02:29,270 --> 00:02:42,390
123
+ ุงู„ูˆุถุน ู…ู‡ู…ุฉ 0.01 ุฅุนุทุงุก ุฃู„ูุฉ 1% ูˆ2 ุชู„ุชุณ ุงุณุชุฎุฏู…ุช ุจุญูƒูŠ
124
+
125
+ 32
126
+ 00:02:42,390 --> 00:02:45,450
127
+ ุงู„ู€ null ูŠุฌุจ ุฃู† ุชุชู†ู‚ู„ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ yes or no
128
+
129
+ 33
130
+ 00:02:48,880 --> 00:02:52,240
131
+ ุนู† ุทุฑูŠู‚ ุชุงู†ูŠ ู…ุง ุจุทู„ุน ุงู„ critical value ุงูˆ ุงู„ b
132
+
133
+ 34
134
+ 00:02:52,240 --> 00:02:56,000
135
+ value ูุฎู„ู†ุง ู†ุทู„ุน ุงู„ critical value ู‡ูˆ ุญูƒุงูŠุฉ ู„ู„ two
136
+
137
+ 35
138
+ 00:02:56,000 --> 00:03:01,080
139
+ -tailed ู…ุธุจูˆุท ุงู„ two-tailed ูŠุนู†ูŠ ูˆุงุญุฏ right ูˆุงุญุฏ
140
+
141
+ 36
142
+ 00:03:01,080 --> 00:03:05,440
143
+ left ุงู„ rejection regions ุงู„ alpha ุงูŠุด ุจุชุณุงูˆูŠ one
144
+
145
+ 37
146
+ 00:03:05,440 --> 00:03:12,360
147
+ percent ู…ุธุจูˆุท ู‡ู†ุง ุจูƒูˆู† alpha over two ูŠุนู†ูŠ point
148
+
149
+ 38
150
+ 00:03:12,360 --> 00:03:17,730
151
+ zero one ุนู„ู‰ ุงุชู†ูŠู† ุงูŠุด ุจุชุณุงูˆูŠzero zero five ู…ุธุจูˆุท
152
+
153
+ 39
154
+ 00:03:17,730 --> 00:03:20,810
155
+ ูˆุนุงู„ุฃุฎุจุท point zero one ุนู„ู‰ ุงุชู†ูŠู† point zero zero
156
+
157
+ 40
158
+ 00:03:20,810 --> 00:03:27,030
159
+ five ูˆ ุงู„ area ุงู„ุชุงู†ูŠุฉ ู†ูุณู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุจุฑุถู‡ zero
160
+
161
+ 41
162
+ 00:03:27,030 --> 00:03:29,810
163
+ zero five ูุทู„ุน two areas ูˆุงุญุฏุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„
164
+
165
+ 42
166
+ 00:03:29,810 --> 00:03:33,690
167
+ critical value ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ ุงู„ุดู…ุงู„ ู„ู…ุง ูƒู†ุช ููŠู‡
168
+
169
+ 43
170
+ 00:03:33,690 --> 00:03:40,330
171
+ ุชู†ุชูŠู† ู‡ุฐุง ุฃูƒุจุฑ ู…ู†ู‡ุง ุจุฎู…ุณุฉ ู…ู† ุงู„ู ูˆู‡ุฐุง ุฃู‚ู„ ู…ู†ู‡ุง
172
+
173
+ 44
174
+ 00:03:40,330 --> 00:03:46,920
175
+ ุจุฎู…ุณุฉ ู…ู† ุงู„ู ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ุฅุฌุงุจุฉุฃู†ุชู‰
176
+
177
+ 45
178
+ 00:03:46,920 --> 00:03:52,180
179
+ ุงู„ู„ู‰ ุฑุงูŠุญูƒ ู„ูˆ ุฎุฏุช ุงู„ุดู…ุงู„ ุนู„ู‰ ุทูˆู„ ุฌุงู‡ุฒุฉ ู…ุธุจูˆุท ุงูˆ
180
+
181
+ 46
182
+ 00:03:52,180 --> 00:03:55,520
183
+ ู…ู…ูƒู† ุงุฎุฏ ุงู„ูŠู…ูŠู† ุจุณ ุงู„ูŠู…ูŠู† ุนุดุงู† ู‡ูŠูƒูˆู† ุน ุดู…ุงู„ู‡ุง ุฌุฏุงุด
184
+
185
+ 47
186
+ 00:03:55,520 --> 00:04:01,160
187
+ ุงู‡ ุงู„ู„ู‰ ุจูŠุณูŠุจ point nine nine five ูู„ุงู† ู‡ุทู„ุนู„ูƒ ุนู„ู‰
188
+
189
+ 48
190
+ 00:04:01,160 --> 00:04:05,860
191
+ ุงู„ุญู„ ุจุงู„ุทุฑูŠู‚ ุชุงู†ู‰ ููŠ ุงู„ุฃูˆู„ ุงู„ Z table ู‡ุฐุง ุงู„
192
+
193
+ 49
194
+ 00:04:05,860 --> 00:04:10,500
195
+ negative ู…ุธุจูˆุท ุทู„ุน ุงู„ negative ุจุฏูˆุฑ ุนู„ู‰ ู…ูŠู† ุนู„ู‰
196
+
197
+ 50
198
+ 00:04:10,500 --> 00:04:14,720
199
+ point zero zero five ุงู„ zero zero five one ู…ูˆุฌูˆุฏุฉ
200
+
201
+ 51
202
+ 00:04:14,720 --> 00:04:20,290
203
+ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงูƒุชุฑู‡ุง ู‡ู… ู„ุญุธุฉ ููŠ ุนู†ุฏูŠ
204
+
205
+ 52
206
+ 00:04:20,290 --> 00:04:27,910
207
+ ุชู„ุช ู‚ูŠู… 005 ู…ุธุจูˆุท ุชู„ุช ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุชู„ุช ู‚ูŠู… ู‡ูŠ ู…ู† ุชุญุช
208
+
209
+ 53
210
+ 00:04:27,910 --> 00:04:32,430
211
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุช ุฒูŠ ุจุนุถ ูุงู„ุฌูˆุงุจ ุฎุฏ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฎุฏ
212
+
213
+ 54
214
+ 00:04:32,430 --> 00:04:39,550
215
+ ุฃูˆู„ ูˆุงุญุฏุฉ ูุจุชุทู„ุน negative three point three ุงูŠุด
216
+
217
+ 55
218
+ 00:04:39,550 --> 00:04:46,550
219
+ ุงู„ุชุงู†ูŠ ู‡ุชูƒูˆู† ุงู„ุชุงู†ูŠ ุงูŠุด ู‡ุชูƒูˆู† ุฒูŠู‡ุง ู…ุด ู‡ูŠูƒุฒูŠ ุงู„ู€
220
+
221
+ 56
222
+ 00:04:46,550 --> 00:04:50,850
223
+ negative 3.3 ุงุชู†ู‰ ุฒูŠู‡ุง ุงูˆ ู„ูˆ ู…ุงุญุจุชูŠุด ุฒูŠู‡ุง ุทุงู„ุน ุนู„ู‰
224
+
225
+ 57
226
+ 00:04:50,850 --> 00:04:55,330
227
+ point 995 ู„ุญุธุฉ
228
+
229
+ 58
230
+ 00:04:55,330 --> 00:05:00,590
231
+ 995 ุจุฑุถู‡ ุชู„ุช ูˆุงุญุฏุฉ ุฒูŠู‡ู… ุจุงู„ุธุจุท ู…ุธุจูˆุท ูุงู„ุฌูˆุงุจ ู‡ูˆ
232
+
233
+ 59
234
+ 00:05:00,590 --> 00:05:07,710
235
+ ู†ูุณู‡ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง 3.3 ุงู„ุขู† is the value of this
236
+
237
+ 60
238
+ 00:05:07,710 --> 00:05:12,530
239
+ statistic this one fall in the rejection region ุงู„
240
+
241
+ 61
242
+ 00:05:12,530 --> 00:05:17,590
243
+ rejection ุงู…ุง ุชูƒูˆู† greater than 3.3ุฃูˆ less than
244
+
245
+ 62
246
+ 00:05:17,590 --> 00:05:23,450
247
+ negative 3.3 now just ask yourself is a value of 2
248
+
249
+ 63
250
+ 00:05:23,450 --> 00:05:28,570
251
+ .4 fall in this rejection region or not ูˆุงุถุญ ู„ุฃ
252
+
253
+ 64
254
+ 00:05:28,570 --> 00:05:35,130
255
+ ูˆุงุถุญ ุญุฏ ููŠ ุงู„ non rejection region ุงุฐุง ู†ุญู† ู„ุง
256
+
257
+ 65
258
+ 00:05:35,130 --> 00:05:38,890
259
+ ู†ุชูุฑุฌ ุนู„ู‰ ุงู„ hypothesis ู…ุธุจูˆุท ู†ุญู† ู„ุง ู†ุชูุฑุฌ ู‡ูˆ ุงูŠุด
260
+
261
+ 66
262
+ 00:05:38,890 --> 00:05:44,210
263
+ ุญูƒู‰ ููŠ ุงู„ .. ุญูƒู‰ reject ูˆู…ุน ูƒุฏู‡ ู‚ุฑุงุฑู‡ ู…ุง ู„ู‡ ู‚ุฑุงุฑู‡
264
+
265
+ 67
266
+ 00:05:44,210 --> 00:05:51,780
267
+ ู…ุด ุตุญูŠุฅุฐุง ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ุณุคุงู„ ุงู„ุฃูˆู„ ุฅุฐุง
268
+
269
+ 68
270
+ 00:05:51,780 --> 00:05:55,240
271
+ ุงู„ true answer is false ู‡ูˆ ู„ุฃู†ู‡ ุญูƒู‰ Donald should
272
+
273
+ 69
274
+ 00:05:55,240 --> 00:06:00,400
275
+ be rejected ู„ุฃ ู…ุด rejected ุฎู„ุงุต ุฅุฐุง ุงู„ part ุณุคุงู„
276
+
277
+ 70
278
+ 00:06:00,400 --> 00:06:09,480
279
+ ุงุชู†ูŠู† ุฌูˆุงุจู‡ ุจูŠู‡ ู†ุดูˆู ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ
280
+
281
+ 71
282
+ 00:06:09,480 --> 00:06:10,320
283
+ ุจุนุฏู‡ ุจุญูƒูŠ ุงู„ู‚ุงุชู„
284
+
285
+ 72
286
+ 00:06:20,900 --> 00:06:25,080
287
+ and appliance manufacturer claims to have
288
+
289
+ 73
290
+ 00:06:25,080 --> 00:06:30,420
291
+ developed compact microwave oven that consumes a
292
+
293
+ 74
294
+ 00:06:30,420 --> 00:06:34,600
295
+ mean of no more than two hundred and fifty watt no
296
+
297
+ 75
298
+ 00:06:34,600 --> 00:06:40,400
299
+ more than ูŠุนู†ูŠ
300
+
301
+ 76
302
+ 00:06:40,400 --> 00:06:47,040
303
+ ู…ุด ุงูƒุชุฑ ู…ู† ูŠุนู†ูŠ ุงูŠุด ุงู‚ู„ ุงูˆ ูŠุณุงูˆูŠ ู…ุธุจูˆุท ู…ุง ู‡ูŠ ู…ุนู†ู‰
304
+
305
+ 77
306
+ 00:06:47,040 --> 00:06:49,040
307
+ ู†ูƒุชุจ ู‡ูŠูƒ no more
308
+
309
+ 78
310
+ 00:06:53,690 --> 00:06:57,970
311
+ 250 ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
312
+
313
+ 79
314
+ 00:06:57,970 --> 00:07:02,750
315
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
316
+
317
+ 80
318
+ 00:07:02,750 --> 00:07:04,250
319
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
320
+
321
+ 81
322
+ 00:07:04,250 --> 00:07:06,990
323
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
324
+
325
+ 82
326
+ 00:07:06,990 --> 00:07:19,110
327
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
328
+
329
+ 83
330
+ 00:07:19,110 --> 00:07:22,890
331
+ ุฏู‚
332
+
333
+ 84
334
+ 00:07:25,060 --> 00:07:28,920
335
+ ุทูŠุจ ู†ูƒู…ู„ them take a sample of twenty microwave
336
+
337
+ 85
338
+ 00:07:28,920 --> 00:07:38,260
339
+ ุฃุฎุฏ twenty microwave ู„ุญุธุฉ from previous studies ุงู„
340
+
341
+ 86
342
+ 00:07:38,260 --> 00:07:43,480
343
+ population of patients fifteen ูŠุนู†ูŠ head is given
344
+
345
+ 87
346
+ 00:07:43,480 --> 00:07:47,760
347
+ is known ุฏู‡ ุฑูƒุฒ ู„ุฅู† ููŠ ุนู†ุฏูŠ two scenarios sigma
348
+
349
+ 88
350
+ 00:07:47,760 --> 00:07:54,120
351
+ known or unknown ูƒูˆูŠุณ they takeุณุงู…ุจู„ ู…ู† 20
352
+
353
+ 89
354
+ 00:07:54,120 --> 00:08:00,740
355
+ ู…ูŠูƒุฑูˆููŠุฑ ูŠูุชุญ ูˆูŠุฌุฏ ุฃู†ู‡ู… ูŠุณุชุฎุฏู…ูˆู† ู…ูŠุงู† ู…ู† ู‡ุฐุง ุงู„ู€
356
+
357
+ 90
358
+ 00:08:00,740 --> 00:08:04,960
359
+ 257
360
+
361
+ 91
362
+ 00:08:04,960 --> 00:08:09,420
363
+ .3 ูˆุงุช ู‡ุฐุง ุญุชู‰ ู„ุฃู† ุฃู†ุง ู…ุด ุนุงุฑู ุงุด ุจุฏูŠ ุงุนู…ู„ ุงูŠุด
364
+
365
+ 92
366
+ 00:08:09,420 --> 00:08:17,780
367
+ ุงู„ู…ุทู„ูˆุจ ู…ุด ูˆุงุถุญ ุณุคุงู„ ุชู„ุงุชุฉ ูŠุญูƒูŠ ุนู† ุณูŠู†ุงุฑูŠูˆ 93 ู…ูŠู†
368
+
369
+ 93
370
+ 00:08:17,780 --> 00:08:20,700
371
+ ู‡ูˆ population of interest ู…ูŠู† ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ุฃู†ุง
372
+
373
+ 94
374
+ 00:08:20,700 --> 00:08:27,340
375
+ ู…ู‡ุชู… ุฅูŠู‡ู†ุดูˆู ุงู„ .. ูˆุงุญุฏุฉ ุชู‚ุฑุฃ ุงู„ู„ูŠ ู‡ุฏูˆู„ ุงู„ู„ูŠ
376
+
377
+ 95
378
+ 00:08:27,340 --> 00:08:32,420
379
+ ุจุชุฑูƒุฒูŠ ู…ุนุงู‡ ู…ูŠู† ุงู„ population of interestุŸ ุญุฏ
380
+
381
+ 96
382
+ 00:08:32,420 --> 00:08:40,500
383
+ ูŠู‚ุฑุฃุŸ ุญุฏ ูŠู‚ุฑุฃ ุงู„ .. ุงู„ุณุคุงู„ ุงู„ุชู„ุงุชุฉ ูู…ูŠู† power
384
+
385
+ 97
386
+ 00:08:40,500 --> 00:08:43,540
387
+ consumptionุŸ ุงู„ power consumption ู…ุฌุฑูˆุจ ุฃูˆ ู…ูŠู†ุŸ
388
+
389
+ 98
390
+ 00:08:43,540 --> 00:08:46,340
391
+ ูpower consumption in the country ู…ุฌุฑูˆุจ ุฃูˆ ู…ูŠู†ุŸ
392
+
393
+ 99
394
+ 00:08:46,340 --> 00:08:48,820
395
+ ูู…ูŠู† power consumption in the country ู…ุฌุฑูˆุจ ุฃูˆ
396
+
397
+ 100
398
+ 00:08:48,820 --> 00:08:53,400
399
+ ู…ูŠู†ุŸ ูpower consumptionูˆุจุชูƒู„ู… ุนู† ุงู„ population ูƒู„ู‡
400
+
401
+ 101
402
+ 00:08:53,400 --> 00:08:56,940
403
+ ุทุจ ุงู„ population ู…ูŠู† ู‡ูŠูƒูˆู†ุŸ ููŠ ุฅุฌุงุจุงุช we have to
404
+
405
+ 102
406
+ 00:08:56,940 --> 00:09:03,820
407
+ ignore it ู„ุงุฒู… ุชุฌู‡ู„ู‡ุง ุฃูŠ ุญุงุฌุฉ ุจุชุญูƒูŠ ุนู† ู…ูŠู† ู…ุด ุตุญ
408
+
409
+ 103
410
+ 00:09:03,820 --> 00:09:06,760
411
+ ูˆุจุชูƒู„ู…ุด ุนู† ู…ูŠู†ุŒ ุจุชูƒู„ู… ุนู† ุงู„ population ูˆุจุงู„ุชุงู„ูŠ
412
+
413
+ 104
414
+ 00:09:06,760 --> 00:09:11,540
415
+ ู‡ูŠูƒ ุฃู†ุง ุทู„ุนุชุด ุญุฏุงูุฉ ุฅุฌุงุจุชูŠู† ุจุชุนุฑู ุชุณูƒุฑ ุงู„ู…ู† ุณุฑุจุญ
416
+
417
+ 105
418
+ 00:09:11,540 --> 00:09:17,060
419
+ ุงู„ู…ู„ูŠูˆู† ููŠ ุนู†ุฏ ุฃุฑุจุน ุฅุฌุงุจุงุช ุงุณุชุนุงู†ู‰ ู…ุน ุตุฏูŠู‚ ูˆุงุญุฏ ููŠ
420
+
421
+ 106
422
+ 00:09:17,060 --> 00:09:20,660
423
+ ุฅุฌุงุจุชูŠู† ูˆ ู‡ูŠูƒูƒุฏู‡ ุงู„ู„ูŠ ุญุฏูุช ุฌุจุชูŠู† ุตุงุฑ ุนู†ุฏู‰ ุงุฎุชูŠุงุฑ
424
+
425
+ 107
426
+ 00:09:20,660 --> 00:09:24,520
427
+ ูˆูŠู† ุจุณ ููŠ ุงูŠู‡ ุฌุจุชูŠู† ูŠุนู†ูŠ ุจุชุฑูƒุฒ ููŠ ุชู†ุชูŠู† ุจุณ ู„ูŠุด
428
+
429
+ 108
430
+ 00:09:24,520 --> 00:09:27,040
431
+ ุดูŠู„ุช ุงู„ู…ูŠู†ุŸ ุฃู†ุง ุจุชูƒู„ู… ุนู† population of interest
432
+
433
+ 109
434
+ 00:09:27,040 --> 00:09:31,180
435
+ ู…ุงุชูƒู„ู…ุด ุนู† ุงู„ parameter ูุจุงู„ุชุงู„ูŠ ุจุชุทู„ุน ู†ู…ุณูƒ ุงู„ุงุชู†
436
+
437
+ 110
438
+ 00:09:31,180 --> 00:09:34,240
439
+ ุจูŠ ูˆ ุฏูŠ the power consumption in the twenty
440
+
441
+ 111
442
+ 00:09:34,240 --> 00:09:35,520
443
+ microwave oven
444
+
445
+ 112
446
+ 00:09:38,070 --> 00:09:42,170
447
+ ุญุฏุฏ .. ุญุฏุฏ ุนู„ู‰ ุนุดุฑูŠู† ูˆ ุงู„ุนุดุฑูŠู† sample ุฒูŠ ู…ุด ู‡ูŠ ุฅุฐุง
448
+
449
+ 113
450
+ 00:09:42,170 --> 00:09:45,150
451
+ ุตุฑุช ูˆุงู†ุง ู…ุบู…ุถ ุงู„ job ุฏูŠ ู…ู† ุบูŠุฑ ู…ู‚ุฑุฃู‡ ุฅุฐุง ูƒุงู† ุทุจุนุง
452
+
453
+ 114
454
+ 00:09:45,150 --> 00:09:49,050
455
+ .. ุฅุฐุง ูƒุงู† ู…ุงููŠุด ุบูŠุฑู‡ ุงู„ power consumption in all
456
+
457
+ 115
458
+ 00:09:49,050 --> 00:09:54,210
459
+ ู„ุญุธุฉ ูƒู„ู…ุฉ all such microwave ovens ุฅุฐุง ุฏูŠ ูˆุงุถุญ ูƒูŠู
460
+
461
+ 116
462
+ 00:09:54,210 --> 00:09:59,070
463
+ ูˆุงุญุฏ ุจููƒุฑ ุจุญู„ ุงู„ุณุคุงู„ ูŠุญุฏุซ ุงู„ุฅุฌุงุจุงุช ุงู„ู„ูŠ ู…ุด ู…ู†ุงุณุจุฉ
464
+
465
+ 117
466
+ 00:09:59,070 --> 00:10:02,450
467
+ ูˆ ุจุนุฏูŠู† ุจุชูƒู…ู„ ูˆุงุถุญ ุฅุฐุง correct answer is ุฏูŠ
468
+
469
+ 118
470
+ 00:10:05,640 --> 00:10:08,800
471
+ ุฎู„ุงุต ุทุจุนุง ุงู„ุฅุฌุงุจุงุช ุนู†ุฏูƒ ู…ูˆุฌูˆุฏุฉ ููŠ ู†ู‡ุงูŠุฉ ุงู„ุณุคุงู„
472
+
473
+ 119
474
+ 00:10:08,800 --> 00:10:16,260
475
+ ู„ุฐุงู„ูƒ ุงู„ู€ three correct answer is ุฏูŠ let's
476
+
477
+ 120
478
+ 00:10:16,260 --> 00:10:23,060
479
+ move to number four ุฑู‚ู… ุฑุจุน ุฑูุนุช ููŠ ุณู†ุฉ number
480
+
481
+ 121
482
+ 00:10:23,060 --> 00:10:29,360
483
+ three the parameter of interest the
484
+
485
+ 122
486
+ 00:10:29,360 --> 00:10:34,440
487
+ parameter of interest ุจุญูƒูŠ ุนู† ุงู„ parameterุทุจุนุง ููŠ
488
+
489
+ 123
490
+ 00:10:34,440 --> 00:10:37,400
491
+ ุนู†ุฏูŠ the main power consumption of all such
492
+
493
+ 124
494
+ 00:10:37,400 --> 00:10:40,820
495
+ microwave ovens ู„ู…ุง ุฃุชูƒู„ู… ุนู† ุงู„ุจุฑุงู…ูŠุทุฑ ุจุญูƒูŠ ุนู„ู‰
496
+
497
+ 125
498
+ 00:10:40,820 --> 00:10:45,220
499
+ ุดุบู„ุฉ computed from the population ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃูŠ ุญุฏ
500
+
501
+ 126
502
+ 00:10:45,220 --> 00:10:48,120
503
+ ููŠู‡ุง population ู‡ูŠ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง ู…ูŠู† ููŠ .. ู…ูŠู†
504
+
505
+ 127
506
+ 00:10:48,120 --> 00:10:53,780
507
+ ููŠ ุญุฏ ุจุชุฏู„ุน ุงู„ populationุŸ allุŒ ู‡ูŠ ู‡ุฐู‡ ู…ุธุจูˆุท ูˆููŠู‡ุง
508
+
509
+ 128
510
+ 00:10:53,780 --> 00:10:58,100
511
+ ูƒู„ู…ุฉ ุฅูŠุดุŸ ู…ูŠู†ุŒ ุงู„ุชู†ุงุฏุฑ ู…ุน ุจุนุถ ู…ุงูŠู†ูุนุด ุฃูƒูˆู† ููŠ ุนู†ุฏ
512
+
513
+ 129
514
+ 00:10:58,100 --> 00:11:00,870
515
+ ุงู„ all ู†ุบูŠุฑ ุงู„ mean ู„ู…ุง ุฃุชูƒู„ู… ุนู† ุงู„ุจุฑุงู…ูŠุทุฑูู„ู…ุง
516
+
517
+ 130
518
+ 00:11:00,870 --> 00:11:04,530
519
+ ูŠูƒูˆู† ููŠู‡ ุจุฑุงู…ุฌุฉ ุจุชูƒูˆู† ุนู†ุฏ ู…ูŠู† ู…ูŠู† ุฃูˆ proportion ู„ูˆ
520
+
521
+ 131
522
+ 00:11:04,530 --> 00:11:07,070
523
+ ู…ุซู„ุฉ proportion ุจุณ ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจุชุชูƒู„ู… ุนู† ุงู„
524
+
525
+ 132
526
+ 00:11:07,070 --> 00:11:09,650
527
+ mean ูุจุงู„ุชุงู„ูŠ ุงู„ A is the correct answer ู…ู† ุบูŠุฑ
528
+
529
+ 133
530
+ 00:11:09,650 --> 00:11:13,090
531
+ ู…ู‚ุฑุฃ ูˆุถูŠุน ูˆู‚ุช ู„ุฃู† ู‡ุฐุง ุงู„ mean power consumption of
532
+
533
+ 134
534
+ 00:11:13,090 --> 00:11:19,130
535
+ the 20 ุงู„ 20 ู„ู„ sample X bar ุฎู„ุงุต ู„ูˆ ุญูƒูŠู„ูŠ the
536
+
537
+ 135
538
+ 00:11:19,130 --> 00:11:24,050
539
+ statistic of interest is ุจู‚ูˆู„ู‡ ู‡ุฐุงุจุณ ู…ุด ู‡ุง ู‡ูˆ
540
+
541
+ 136
542
+ 00:11:24,050 --> 00:11:27,450
543
+ ุจูŠุญูƒูŠ ุนู† ุงู„ population ุงูˆ ุงู„ parameter ุจุงู„ุจุณ ู„ุฐุง
544
+
545
+ 137
546
+ 00:11:27,450 --> 00:11:38,670
547
+ correct answer four ุจูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ุงูŠู‡ ุฎู„ุงุต number
548
+
549
+ 138
550
+ 00:11:38,670 --> 00:11:39,190
551
+ five
552
+
553
+ 139
554
+ 00:11:44,770 --> 00:11:48,470
555
+ referring to the same scenario for a test for a
556
+
557
+ 140
558
+ 00:11:48,470 --> 00:11:50,950
559
+ test with a level of significance alpha ุฅูŠุด ู„ูŠู‡
560
+
561
+ 141
562
+ 00:11:50,950 --> 00:11:53,910
563
+ critical valueุŸ ู†ุฑูƒุฒ ุงู„ุขู† ุจุณ ุนุงุฑู ุงู„ critical
564
+
565
+ 142
566
+ 00:11:53,910 --> 00:11:56,210
567
+ value ุฅุฐุง ู…ุง ุนุฑูุช ู‡ูŠ ู„ูŠู‡ one sided ูˆู„ุง two sided
568
+
569
+ 143
570
+ 00:11:56,210 --> 00:12:03,550
571
+ ุงู„ claim ูƒุงู† ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุงู„ claim ุฅุฐุง ุจุชุฐูƒุฑ ุญูƒู‰
572
+
573
+ 144
574
+ 00:12:03,550 --> 00:12:11,670
575
+ no more than no more ู…ุนู†ู‰ no more ูŠุนู†ูŠ ุฅูŠุดุŸ ู…ุงุฆุชูŠู†
576
+
577
+ 145
578
+ 00:12:11,670 --> 00:12:18,250
579
+ ูˆุฎู…ุณูŠู†ู‡ู„ ู‡ุฐุง ุงู„ู€ H1 ุฃูˆ ุงู„ู€ H0ุŸ ู†ุญู† ู†ุนุฑู ุดูŠุกุŒ ุฅู†
580
+
581
+ 146
582
+ 00:12:18,250 --> 00:12:23,290
583
+ ุงู„ู€ null hypothesis contains equal signุŒ ู…ุธุจูˆุทุŸ
584
+
585
+ 147
586
+ 00:12:23,290 --> 00:12:26,990
587
+ ุงู„ู€ H0 ูŠุดุชู…ู„ ุนู„ู‰ ุงู„ู€ equal signุŒ ุฅุฐุง ูƒุงู† ู‡ุฐุง ุงู„ู€
588
+
589
+ 148
590
+ 00:12:26,990 --> 00:12:34,150
591
+ H0ุŸ ู‡ุฐุง ุงู„ู€ H0ุŒ ุงู„ู€ Mu ุฃู‚ู„ ู…ู† 250 ุฃูˆ ุชุณุงูˆูŠุŒ ุงู„ู€
592
+
593
+ 149
594
+ 00:12:34,150 --> 00:12:37,750
595
+ H1ุŒ ุงู„ู€ Mu ู…ุงู„ู‡ุง ุฃูƒุจุฑุŒ ุฃูƒุจุฑุŒ ุฎู„ุงุตุŒ ููƒุฏุง ุฃู†ุง ุนุฑูุช
596
+
597
+ 150
598
+ 00:12:37,750 --> 00:12:40,710
599
+ ุฅูŠุด ุดุบู„ุชุŒ ุฒูŠ 1 ุชู„ุช
600
+
601
+ 151
602
+ 00:12:42,060 --> 00:12:47,100
603
+ one tilt ูˆ upper ูˆู„ุง left upper ู…ุด ู‡ูŠูƒ ูˆ alpha
604
+
605
+ 152
606
+ 00:12:47,100 --> 00:12:53,260
607
+ ูƒุฏู‡ุด ุญุงุฌุฉ ุจุชุณุงูˆูŠ alpha five percent ู„ุฅู†ู‡ ุญูƒู‰ ู„ูŠ ููŠ
608
+
609
+ 153
610
+ 00:12:53,260 --> 00:13:00,160
611
+ ุฃุฑุฌุน ุชุงู†ูŠ ู„ five ุญูƒู‰ alpha is five percent ุฃูƒูŠุฏ
612
+
613
+ 154
614
+ 00:13:00,160 --> 00:13:03,780
615
+ ุฃู†ุง ุญุงูุธู‡ุง ุฃูˆ ุจุทู„ุนู‡ุง ู…ู† ุงู„ table one point six
616
+
617
+ 155
618
+ 00:13:03,780 --> 00:13:06,620
619
+ four five ุฅุฐุง ุฌูˆุงุจ one point six four five ุฅุฐุง
620
+
621
+ 156
622
+ 00:13:06,620 --> 00:13:09,300
623
+ five ุฌูˆุงุจ one point six four five
624
+
625
+ 157
626
+ 00:13:12,080 --> 00:13:18,260
627
+ ุฅุฐุง ู‡ุงุฏ one point six four one five ุงู„ุงู† ููŠ ุงู„ุณุชุฉ
628
+
629
+ 158
630
+ 00:13:18,260 --> 00:13:21,520
631
+ the value of that statistic ู…ุงุดูŠ ู…ุนุงูƒ ูˆ ุจู‚ู‰ ุนุดุงู†
632
+
633
+ 159
634
+ 00:13:21,520 --> 00:13:26,480
635
+ step by step ุนุฑููƒ ุงู„ population ุงุชุนุฑู ู…ู†ูƒ ุนู„ู‰ ุงู„
636
+
637
+ 160
638
+ 00:13:26,480 --> 00:13:30,340
639
+ parameter ุงุชุฃูƒุฏ ุงู†ูƒ ุชูƒุชุจ ุงู„ null ูˆ ุงู„ alternative
640
+
641
+ 161
642
+ 00:13:30,340 --> 00:13:35,040
643
+ ุตุญ ูƒุชุจุช ุงู„ critical value ุตุญ ุฃูˆ ุทู„ุนุชู‡ุง ููŠ ุฎู…ุณุฉ ุงูˆ
644
+
645
+ 162
646
+ 00:13:35,040 --> 00:13:40,900
647
+ ููŠ ุณุชุฉ ุจุญูƒูŠ ุนุดุงู† ุงูŠุด ุงู„ test ุงู„ statistic ููŠ ุณุชุฉ
648
+
649
+ 163
650
+ 00:13:44,920 --> 00:13:48,900
651
+ ุฎู„ู‘ูŠ ุจุงู„ูƒ ูŠุนู†ูŠ ุฃู†ุง ุงู„ุงู† ู…ู…ูƒู† ุงู„ู…ุซู„ุฉ ู‡ุฐู‡ ุฃู…ูŠุฒ ุฃุญู„ Z
652
+
653
+ 164
654
+ 00:13:48,900 --> 00:13:53,420
655
+ ูˆ ู„ุง T ู…ู‡ู… ุทุงู„ู…ุง ุงู„ sigma is given automatic ุนู„ู‰ Z
656
+
657
+ 165
658
+ 00:13:53,420 --> 00:13:57,960
659
+ ุฅุฐุง ุงู„ุณุคุงู„ ุชุจุน Z ูˆ ู„ุญุธุฉ ุงู„ู„ูŠ ู‡ูŠ ุญุชู‰ ุงุณุชุฎุฏู…ุช Z
660
+
661
+ 166
662
+ 00:13:57,960 --> 00:14:03,000
663
+ critical ุนู„ู‰ ุทูˆู„ุŒ ู…ุธู‡ุฑุŸู„ุฃู† Z is given ู‡ูˆ ู…ุนุฑูˆู
664
+
665
+ 167
666
+ 00:14:03,000 --> 00:14:06,140
667
+ ูุจุงู„ุชุงู„ูŠ ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… Z statistics ุญุชู‰ ุฅุฐุง ูƒุงู†ุช
668
+
669
+ 168
670
+ 00:14:06,140 --> 00:14:13,840
671
+ ุงู„ู…ุฌู…ูˆุนุฉ ุตุบูŠุฑุฉุŒ ูุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ ุตุบูŠุฑุฉ ูุจุฅู…ูƒุงู†ู†ุง
672
+
673
+ 169
674
+ 00:14:13,840 --> 00:14:19,540
675
+ ุงุณุชุฎุฏุงู… Z
676
+
677
+ 170
678
+ 00:14:19,540 --> 00:14:24,000
679
+ statistics Z statistics ู‡ูˆ X bar minus Mu Sigma
680
+
681
+ 171
682
+ 00:14:24,000 --> 00:14:25,560
683
+ over square root of N
684
+
685
+ 172
686
+ 00:14:28,910 --> 00:14:35,550
687
+ ุจุณ x bar is given 257.3
688
+
689
+ 173
690
+ 00:14:35,550 --> 00:14:45,010
691
+ -250 sigma is 15 over square root of 20 now just
692
+
693
+ 174
694
+ 00:14:45,010 --> 00:14:48,590
695
+ compute this value you will end with the value of
696
+
697
+ 175
698
+ 00:14:48,590 --> 00:14:53,890
699
+ this statistic ุงู†ุง ุจุงุชู†ุณุญูƒ ุฏุงูŠู…ุง ุงุญุณุจ ุงู„ู…ู‚ุงู… ู„ุญุงู„ู‡
700
+
701
+ 176
702
+ 00:14:53,890 --> 00:14:58,210
703
+ ุงุญุณุจ ุงู„ุจุงุต ุฌุณู… 2 ุนู„ู‰ ุจุนุถ ู„ูŠุด ู„ุงู† ุงู†ุง ู„ูˆ ุบู„ุทุช ู‡ู†ุง
704
+
705
+ 177
706
+ 00:14:59,440 --> 00:15:02,280
707
+ ุจูŠุชุจุนูˆุง ุฃุฎุทุงุก ุฃุฎุฑู‰ ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ multiple choice
708
+
709
+ 178
710
+ 00:15:02,280 --> 00:15:07,540
711
+ ูุงู„ุชุงู„ุฉ ุฅู†ุช ู„ูˆ ุญุณุจุชู‡ุง ุงู„ุฌูˆุงุจ ููŠ ุงู„ answers ุงู„ู„ูŠ
712
+
713
+ 179
714
+ 00:15:07,540 --> 00:15:15,220
715
+ ุนู†ุฏู†ุง ููŠ ุงู„ุณุคุงู„ 6 two point ุฃูˆ 18 ุชู‚ุฑูŠุจุง ุฅุฐุง ู‡ุฐุง
716
+
717
+ 180
718
+ 00:15:15,220 --> 00:15:22,160
719
+ ุงู„ุฌูˆุงุจ ู„ .. ู„ุณู‡ ุงู„ุณุคุงู„ 6 ููŠ ุฃูŠ ุณุคุงู„ุŸ ุทูŠุจ ุงู„ุณุคุงู„ 7
720
+
721
+ 181
722
+ 00:15:39,800 --> 00:15:44,820
723
+ ู†ู…ุจุฑ ุณุจุน ุงู„ุณุจุน
724
+
725
+ 182
726
+ 00:15:44,820 --> 00:15:48,940
727
+ ู…ุง ุจูŠุญูƒูŠ if the p-value is less than alpha in a
728
+
729
+ 183
730
+ 00:15:48,940 --> 00:15:52,280
731
+ two-tailed test ุฅุฐุง ุงู„ p-value ุฃู‚ู„ ู…ู† ุงู„ุฃู„ูุฉ
732
+
733
+ 184
734
+ 00:15:52,280 --> 00:15:58,140
735
+ ุงู„ู‚ุฑุงุฑ ุฅุญู†ุง ู…ุชุนูˆุฏูŠู† ุฅุฐุง ุงู„ p-value ุฃู‚ู„ ู…ู† ุงู„ุฃู„ูุฉ
736
+
737
+ 185
738
+ 00:15:58,140 --> 00:16:02,540
739
+ we reject them ุนู„ู‰ ุงู„ hypothesis ุฅุฐุง if p-value is
740
+
741
+ 186
742
+ 00:16:02,540 --> 00:16:07,350
743
+ less than alpha we reject ูˆุฅู† ููŠ rejectone tail
744
+
745
+ 187
746
+ 00:16:07,350 --> 00:16:10,030
747
+ should be used ุทุจุนุง ู„ุฃ no conclusion should be
748
+
749
+ 188
750
+ 00:16:10,030 --> 00:16:13,410
751
+ reached ุจุฑุถู‡ ู„ุฃ the null shouldn't be rejected ู„ุฃ
752
+
753
+ 189
754
+ 00:16:13,410 --> 00:16:16,630
755
+ ุฅุฐุง correct answer ุฏูŠ the null hypothesis should
756
+
757
+ 190
758
+ 00:16:16,630 --> 00:16:22,870
759
+ be rejected ุฅุฐุง ุณุจุนุฉ correct answer ุฏูŠ ุฅุฐุง ู‡ุฐุง
760
+
761
+ 191
762
+ 00:16:22,870 --> 00:16:25,030
763
+ ุนุจุงุฑุฉ ุนู† ุงู„ู…ูู‡ูˆู… if b value is smaller than alpha
764
+
765
+ 192
766
+ 00:16:25,030 --> 00:16:30,210
767
+ then we reject the null hypothesis part eight true
768
+
769
+ 193
770
+ 00:16:30,210 --> 00:16:34,970
771
+ or falseThe smaller the p-value, the stronger is
772
+
773
+ 194
774
+ 00:16:34,970 --> 00:16:37,790
775
+ the evidence against the null hypothesis ูŠุนู†ูŠ
776
+
777
+ 195
778
+ 00:16:37,790 --> 00:16:41,810
779
+ ุจูŠุญูƒูŠ ูƒู„ ู…ุง ูƒุงู†ุช p-value ุตุบูŠุฑุฉ ุจูŠุนุทูŠู†ุง ุฏู„ุฉ ุชุฏุนู… ..
780
+
781
+ 196
782
+ 00:16:41,810 --> 00:16:46,530
783
+ ุฏู„ุฉ ู‚ูˆูŠุฉ ุชุฏุนู… ู…ูŠู† ุฃูˆ ุชูƒูˆู† ุถุฏ ุงู„ูุฑุถ ุงู„ุจุฏูŠู„ุŒ ุฅุฐุง
784
+
785
+ 197
786
+ 00:16:46,530 --> 00:16:53,510
787
+ correct answer trueุŒ ุฅุฐุง ุชู…ู†ูŠ ุฃูŠู‡ุŸ ุฅุฐุง smaller the
788
+
789
+ 198
790
+ 00:16:53,510 --> 00:16:56,150
791
+ p-value, the stronger is the evidence against the
792
+
793
+ 199
794
+ 00:16:56,150 --> 00:16:59,890
795
+ null hypothesisุฃูˆ ู…ู…ูƒู† ุฃูƒุชุจู‡ุง ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ The
796
+
797
+ 200
798
+ 00:16:59,890 --> 00:17:03,530
799
+ smaller the p-value, the stronger is the evidence
800
+
801
+ 201
802
+ 00:17:03,530 --> 00:17:11,710
803
+ to support ู…ู† ุงู„ู€ alternative hypothesis ุฅู…ุง ุจุนู…ู„
804
+
805
+ 202
806
+ 00:17:11,710 --> 00:17:16,970
807
+ support ู„ู„ alternative hypothesis ู…ุธุจูˆุท ุงู„ู€ H1 ุฃูˆ
808
+
809
+ 203
810
+ 00:17:16,970 --> 00:17:22,110
811
+ ุชูƒูˆู† against ุงู„ nullุŒ ุถุฏ ุงู„ null ูŠุนู†ูŠ ู‡ูŠ ู…ุด ู…ุน ุงู„
812
+
813
+ 204
814
+ 00:17:22,110 --> 00:17:27,800
815
+ null ู„ูƒู† ู…ุน ุงู„ alternative hypothesisู‡ุฐุง ุจุงู„ู†ุณุจุงู„ู‰
816
+
817
+ 205
818
+ 00:17:27,800 --> 00:17:33,860
819
+ ุชู…ุงู†ูŠุฉ ู†ุดูˆู
820
+
821
+ 206
822
+ 00:17:33,860 --> 00:17:39,560
823
+ ุณุคุงู„ ุชุณุนุฉ ู†ู‚ุฑุฃ
824
+
825
+ 207
826
+ 00:17:39,560 --> 00:17:44,900
827
+ ุงู„ุณุคุงู„ ู†ูุณ ุงู„ู…ุนุทูŠุงุช ุงู„ู„ู‰ ูุงุชุช ู†ูุณ ุงู„ุณุคุงู„ ุงู„ู„ู‰ ุงุญู†ุง
828
+
829
+ 208
830
+ 00:17:44,900 --> 00:17:48,900
831
+ ุญูƒูŠู†ุง ุนู„ูŠู‡ ุจุญูƒูŠ ุนุงูŠุฒุฉ the p value of this
832
+
833
+ 209
834
+ 00:17:48,900 --> 00:17:52,800
835
+ statistic is ู†ูุณ ุงู„ุณุคุงู„ ู…ุด ู‡ูŠูƒ ู„ุฃู† ุงูŠ ุฑุตู… ุนู†ุฏู‰
836
+
837
+ 210
838
+ 00:17:52,800 --> 00:17:59,540
839
+ ุณุคุงู„ ุชุณุนุฉ ุงู„ p value ุนุจุงุฑุฉ ุนู† ุงูŠุดุงู„ู€ Z ุงุชูˆู‚ู ุดูˆูŠุฉ
840
+
841
+ 211
842
+ 00:17:59,540 --> 00:18:04,840
843
+ ูˆุงุถุญ ุงู†ู‡ upper tail ุจุงู„ุชุงู„ูŠ ุงูƒุจุฑ ู…ู† .. ุงูŠุด ู…ูƒุชูˆุจ
844
+
845
+ 212
846
+ 00:18:04,840 --> 00:18:13,360
847
+ ู‡ู†ุงุŸ 2.18 ู…ุด ู‡ุฐู‡ ุฏุงูŠู…ุง ุงูƒุจุฑ ู…ู† Z ุงู„ statisticุŒ ุงุฐุง
848
+
849
+ 213
850
+ 00:18:13,360 --> 00:18:20,800
851
+ ุงูƒุจุฑ ู…ู† 2.18 ุทุจุนุง ู‡ุฐู‡ ู…ู† chapter 6 ู…ุด ู‡ูŠูƒุŸ ุจุฌูŠุจ ุงู„
852
+
853
+ 214
854
+ 00:18:20,800 --> 00:18:21,160
855
+ ..
856
+
857
+ 215
858
+ 00:18:24,470 --> 00:18:31,290
859
+ less than 2.18 ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ table ู‡ุงูŠ ุงู„ table
860
+
861
+ 216
862
+ 00:18:31,290 --> 00:18:40,130
863
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง 2.18 ูˆุงุญุฏ
864
+
865
+ 217
866
+ 00:18:40,130 --> 00:18:44,910
867
+ ุชุญุช ุงู„ุชู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒ ู‡ุงูŠูˆุงู† all the way under eight
868
+
869
+ 218
870
+ 00:18:44,910 --> 00:18:50,070
871
+ so I got nine eight five four nine eight five four
872
+
873
+ 219
874
+ 00:18:52,780 --> 00:18:59,900
875
+ 9854 ุฅุฐุง ุงู„ุฌูˆุงุจ ุนุจุงุฑุฉ ุนู† 0146 ุฅุฐุง ุงู„ B value point
876
+
877
+ 220
878
+ 00:18:59,900 --> 00:19:05,780
879
+ 0146 this is approximate answer ุงู„ K answer point
880
+
881
+ 221
882
+ 00:19:05,780 --> 00:19:13,140
883
+ 0148 ู…ุด ู…ุดูƒู„ุฉ ูƒุชูŠุฑ ู„ุฃู† ุฌูˆุงุจ ุงู„ exact ุงู„ู…ุทู„ุน 0148
884
+
885
+ 222
886
+ 00:19:13,140 --> 00:19:17,540
887
+ ู‡ุฐุง ุงู„ exact ุงุญู†ุง ุนู†ู‡ approximate ู„ุฃู† ู‡ุฐุง ุงู„ุฌูˆุงุจ
888
+
889
+ 223
890
+ 00:19:17,540 --> 00:19:21,250
891
+ ู…ุด exact answerู…ุธุจูˆุทุŸ ูˆ approximate ูุจุงู„ุชุงู„ูŠ
892
+
893
+ 224
894
+ 00:19:21,250 --> 00:19:23,850
895
+ ุงู„ุฌูˆุงุจ ุงู„ุชุงุจุน approximate ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุจูŠู†
896
+
897
+ 225
898
+ 00:19:23,850 --> 00:19:27,890
899
+ ุงู„ุงุชู†ูŠู†
900
+
901
+ 226
902
+ 00:19:27,890 --> 00:19:35,170
903
+ ุงุฐุง
904
+
905
+ 227
906
+ 00:19:35,170 --> 00:19:39,170
907
+ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู†ุง ุงู„ุณุคุงู„ ุชุณุนุฉ ูˆุงู„ุจุนุฏู‡ ุจูŠุญูƒูŠ
908
+
909
+ 228
910
+ 00:19:39,170 --> 00:19:42,210
911
+ referring to ุชุณุนุฉ ุฃุฑุจุนุฉ ุฃู†ุง ู…ุงุชุด ุชุณุนุฉ ุฃุฑุจุนุฉ ู‡ู†ุง
912
+
913
+ 229
914
+ 00:19:43,900 --> 00:19:47,060
915
+ ุฎู„ุงุต ูู‡ุฐู‡ ู…ุด ู„ุงุฒู…ุฉ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุณุคุงู„ .. ุงู„ุณุคุงู„
916
+
917
+ 230
918
+ 00:19:47,060 --> 00:19:49,620
919
+ ุงู„ุนุงุดุฑ ุงู†ุง ุจูƒูˆู† ุงู†ุง ู…ุด ุญุงุท ุงู„ุณุงุนุฉ ุฃุฑุจุนุฉ ูู‡ุฐู‡
920
+
921
+ 231
922
+ 00:19:49,620 --> 00:19:54,520
923
+ ุงู„ุณุคุงู„ just ignored ุดูˆู ุงู„ุณุคุงู„ ุงู„ุจุนุฏ ุณุคุงู„ 11
924
+
925
+ 232
926
+ 00:19:54,520 --> 00:19:59,440
927
+ ู…ุนู„ูˆู…ุฉ
928
+
929
+ 233
930
+ 00:19:59,440 --> 00:19:59,840
931
+ ุฌุฏูŠุฏุฉ
932
+
933
+ 234
934
+ 00:20:13,580 --> 00:20:18,960
935
+ ุงู„ุณุคุงู„ 11 The quality control engineer for
936
+
937
+ 235
938
+ 00:20:18,960 --> 00:20:21,260
939
+ furniture manufacture is interested in the mean
940
+
941
+ 236
942
+ 00:20:21,260 --> 00:20:25,440
943
+ amount of force necessary to produce cracks in
944
+
945
+ 237
946
+ 00:20:25,440 --> 00:20:29,540
947
+ stressed oak furniture. She performs a two-tailed
948
+
949
+ 238
950
+ 00:20:29,540 --> 00:20:36,460
951
+ test of the
952
+
953
+ 239
954
+ 00:20:36,460 --> 00:20:39,660
955
+ null hypothesis that the mean for the stressed oak
956
+
957
+ 240
958
+ 00:20:39,660 --> 00:20:42,340
959
+ furniture is 650.
960
+
961
+ 241
962
+ 00:20:44,070 --> 00:20:48,490
963
+ ุนุงู…ู„ุฉ ุงู„ู…ูŠู† ู…ุด ุจุณุงูˆูŠ ุงูŠู‡ุŸ ูˆ ุงู„ .. ูˆ ุงู„ H1 ุฃู‚ู„ ุนู†
964
+
965
+ 242
966
+ 00:20:48,490 --> 00:20:56,230
967
+ ุฅูŠู‡ุŸ not equal ุฎู„ุงุตุŸ the calculated value of the t
968
+
969
+ 243
970
+ 00:20:56,230 --> 00:21:00,690
971
+ -test statistic is a positive number ุจูŠุญูƒูŠ ุฃู† ุงู„ Z
972
+
973
+ 244
974
+ 00:21:00,690 --> 00:21:06,610
975
+ ุทุงู„ุน positive ุจุณ ู…ุงุญูƒุชุด ุงู„ู‚ูŠู…ุฉ ู…ุด ุจุชุณุงูˆูŠ with ..
976
+
977
+ 245
978
+ 00:21:06,610 --> 00:21:09,610
979
+ is a positive number that leads to a p-value of 0
980
+
981
+ 246
982
+ 00:21:09,610 --> 00:21:14,690
983
+ .08 for the testุงู„ู€ P value ุฃุนุทุงู†ูŠ ุฃุฌุงุฒุฉ ุดูˆู
984
+
985
+ 247
986
+ 00:21:14,690 --> 00:21:17,290
987
+ ุงู„ุฃุณุฆู„ุฉ ู…ุฎุชู„ูุฉ ุนู† ุจุนุถ ููŠ ุงู„ุณุคุงู„ 11 ุทู„ุจ ุชุญุณุจ ุงู„ P
988
+
989
+ 248
990
+ 00:21:17,290 --> 00:21:20,390
991
+ value ู„ุฃู† ุฃุนุทุงู†ูŠ ุงู„ P value ูˆ ุฃุนุทุงู†ูŠ ุจุนุถ ุงู„ู…ุนู„ูˆู…ุงุช
992
+
993
+ 249
994
+ 00:21:20,390 --> 00:21:24,570
995
+ ุงู„ุชุงู†ูŠุฉ ููŠ ุงู„ุณุคุงู„ 11 11 refer to scenario 96
996
+
997
+ 250
998
+ 00:21:24,570 --> 00:21:27,910
999
+ suppose the engineer had decided that the
1000
+
1001
+ 251
1002
+ 00:21:27,910 --> 00:21:32,310
1003
+ alternative hypothesis to test was that the mean
1004
+
1005
+ 252
1006
+ 00:21:32,310 --> 00:21:36,970
1007
+ was greater than 650 ุงู„ุงู† ุจุณุฃู„ ููŠ ุงู„ุณ๏ฟฝ๏ฟฝุงู„ 11 ู‡ุฐู‡
1008
+
1009
+ 253
1010
+ 00:21:36,970 --> 00:21:41,570
1011
+ ู…ุนู„ูˆู…ุฉ ุนุงู…ุฉ ููŠ ุงู„ุณุคุงู„ 11 ุจุญูƒูŠ ู„ูˆ ูƒุงู† ุงู„ meanabove
1012
+
1013
+ 254
1014
+ 00:21:41,570 --> 00:21:46,230
1015
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุทูŠุจ what would be the p-value of this
1016
+
1017
+ 255
1018
+ 00:21:46,230 --> 00:21:52,750
1019
+ one test ู…ุงู‡ูŠ ุงู„ p-value ุงู„ุงู† ุงู„ู…ุซู„ ุญูƒู‰
1020
+
1021
+ 256
1022
+ 00:21:52,750 --> 00:21:56,590
1023
+ ู‡ูŠูƒ ููŠ ุงู„ two-tailed ูƒุงู†ุช ุงู„ p-value ู…ุด ู…ุชุณุงูˆูŠ
1024
+
1025
+ 257
1026
+ 00:21:56,590 --> 00:21:59,610
1027
+ ุชู…ุงู†ูŠุฉ
1028
+
1029
+ 258
1030
+ 00:21:59,610 --> 00:22:07,070
1031
+ ู…ุธุจูˆุท ุชู…ุงู†ูŠุฉ ูŠุนู†ูŠ ูƒู„ ูˆุงุญุฏุฉ ุฌุฏุด ุจุชูƒูˆู† ุฃุฑุจุนุฉ ูู…ูŠุฉ
1032
+
1033
+ 259
1034
+ 00:22:08,180 --> 00:22:10,860
1035
+ ุงู„ู„ูŠ ุฃู†ุง ู…ุด ุญุงูƒูŠ ุนู„ูŠู‡ ุงู„ Z positive ูŠุนู†ูŠ ุนู„ูŠุง
1036
+
1037
+ 260
1038
+ 00:22:10,860 --> 00:22:17,240
1039
+ ุงุชุฌุงู‡ุŒ ุนู„ูŠ ุงู„ูŠู…ูŠู† ูŠุนู†ูŠ ุงู„ Z ู‡ู†ุง ูƒุงู†ุช ุนู„ูŠ ุงู„ูŠู…ูŠู† ูˆ
1040
+
1041
+ 261
1042
+ 00:22:17,240 --> 00:22:23,660
1043
+ ุจูŠุจู‚ู‰ 100 ุฃูƒุจุฑ ุงู„ P value ู…ุด ู‡ุชุณุงูˆูŠ ุทู„ุจ ุฃูƒุจุฑ ุงู„ P
1044
+
1045
+ 262
1046
+ 00:22:23,660 --> 00:22:27,640
1047
+ value ู‡ูŠ ู…ุธู„ูˆู… ูุงู„ุฌูˆุงุจ ู‡ุชุณุงูˆูŠ 4 ู…ู† 100 ุนู„ู‰ ุทูˆู„ ุฅุฐุง
1048
+
1049
+ 263
1050
+ 00:22:27,640 --> 00:22:32,220
1051
+ ุงู„ุฌูˆุงุจ ุนุจุงุฑุฉ ุนู† Z ู„ูˆ ุญูƒู‰ Z positiveุŒ ุทุจ ู„ูˆ ุญูƒู‰ Z
1052
+
1053
+ 264
1054
+ 00:22:32,220 --> 00:22:36,920
1055
+ negativeุฎู„ู‘ูŠู†ุง ู„ูˆ ุญูƒู‰ ุงู„ู€ z negative .. ู„ูˆ ุญูƒู‰ ููŠ
1056
+
1057
+ 265
1058
+ 00:22:36,920 --> 00:22:41,180
1059
+ ุงู„ู…ุซู„ุฉ ู‡ุฐู‡ ู„ูˆ ุญูƒู‰ ุงู„ู€ z ู‚ูŠู…ุชู‡ ุงู„ู€ z statistic
1060
+
1061
+ 266
1062
+ 00:22:41,180 --> 00:22:47,540
1063
+ negative negative ูŠุนู†ูŠ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ
1064
+
1065
+ 267
1066
+ 00:22:47,540 --> 00:22:53,380
1067
+ ุงู†ุง ู…ุด .. ุชูƒูˆู† ู†ู‚ุต ุฃุฑุจุนุฉ ุงู„ุงู† ู„ูˆ ุฃู†ุง ุญูƒูŠุช ูƒุฏู‡ ู„ูˆ
1068
+
1069
+ 268
1070
+ 00:22:53,380 --> 00:22:59,160
1071
+ ุทู„ุนุช ุงู„ู€ z negative ุฑูƒุฒูˆุง ูƒูˆูŠุณ ุงู„ู…ุซู„ ุฃู†ุง ุฎู„ุตุช ุญุงู„ุฉ
1072
+
1073
+ 269
1074
+ 00:22:59,160 --> 00:23:03,020
1075
+ ุงู„ุฌูˆุงุจ c ู„ุฃู† ุงู„ู€ z positiveู„ูˆ ููŠ ุงู„ู€ positive ..
1076
+
1077
+ 270
1078
+ 00:23:03,020 --> 00:23:06,320
1079
+ ู„ูˆ ูƒุงู†ุช positive ู‡ู†ุง ุจุทู„ู‘ูŠ ุงุญุชู…ุงู„ Z ุฃูƒุจุฑ ู…ู†
1080
+
1081
+ 271
1082
+ 00:23:06,320 --> 00:23:09,240
1083
+ ุงู„ู‚ูŠู…ุฉุŒ ู…ุธุจูˆุทุŸ ุฃูƒุจุฑุŒ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ูˆุงุถุญุŒ ุงุญู†ุง ุฌุงู‡ุฒุฉุŒ
1084
+
1085
+ 272
1086
+ 00:23:09,240 --> 00:23:14,800
1087
+ ู…ุด ู‡ูŠูƒุŸ ุทูŠุจุŒ ุฅู„ุง ู„ูˆ ูƒุงู†ุช Z negative ูˆู…ุง ุฒุงู„ ุงู„
1088
+
1089
+ 273
1090
+ 00:23:14,800 --> 00:23:21,320
1091
+ test ุชุจู‚ู‰ ู‡ูŠู‡ ู…ูŠูˆ ุฃูƒุจุฑ ุงู„ B value ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ุฑูƒุฒูŠ
1092
+
1093
+ 274
1094
+ 00:23:21,320 --> 00:23:26,880
1095
+ ู…ุนุงูŠุงุŒ ุฌุงูˆุจูŠุด Z ุฃูƒุจุฑ ู…ู† .. ู…ุธุจูˆุทุŸ ุฅูŠุด ุงู„ .. ุฅูŠุด
1096
+
1097
+ 275
1098
+ 00:23:26,880 --> 00:23:33,940
1099
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุญูƒูŠุชู‡ุง negativeุŸ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸู‡ุฐู‡ ุงู„ู€
1100
+
1101
+ 276
1102
+ 00:23:33,940 --> 00:23:43,800
1103
+ negative ูˆุงุญุฏ ู†ู‚ุต 0 ุฃุฑุจุนุฉ ูŠุนู†ูŠ 96 ู…ุนู†ุงู‡
1104
+
1105
+ 277
1106
+ 00:23:43,800 --> 00:23:49,040
1107
+ ูƒุฏู‡ ุฃู†ุง ุฌุณู…ุช ุนู„ู‰ ุงู„ุฅุชู†ูŠู† ู„ุณุจุจ ุฃู† ุงู„ alternative
1108
+
1109
+ 278
1110
+ 00:23:49,040 --> 00:23:55,100
1111
+ hypothesis ููŠ F ุฃูƒุจุฑ ูˆ Z ู…ุงู„ู‡ุง positive ูŠุนู†ูŠ
1112
+
1113
+ 279
1114
+ 00:23:55,100 --> 00:23:58,500
1115
+ ุงู„ุฅุชู†ูŠู† ู…ุงู„ู‡ู… ููŠ ู†ูุณ ุงู„ direction ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡
1116
+
1117
+ 280
1118
+ 00:23:58,500 --> 00:24:03,080
1119
+ ุทุงู„ู…ุง ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ ุจุฌุณู… ุงู„ P value ุนู„ู‰ ุฅุชู†ูŠู†ุทุจ
1120
+
1121
+ 281
1122
+ 00:24:03,080 --> 00:24:07,400
1123
+ ู„ูˆ ุจุฏุฃ ุฃุฎู„ู‘ูŠ ุงู„ู…ุซู„ุฉ ู†ูุณู‡ุง ูˆ ุงู„ุฌูˆุงุจ ู†ูุณู‡ 4% ุจุณ ุจุฏุฃ
1124
+
1125
+ 282
1126
+ 00:24:07,400 --> 00:24:13,220
1127
+ ุฃุบูŠุฑุŒ ุฅูŠุด ุฃุบูŠุฑุŸ ุจุฏู„ ู…ุง ูŠุญูƒูŠ greater thanุŒ less
1128
+
1129
+ 283
1130
+ 00:24:13,220 --> 00:24:18,940
1131
+ than ูˆ ุจุฏู„ ู…ุง ูŠุญูƒูŠ ุงู„ู€ z positiveุŒ negativeุŒ ุงู„ู„ูŠ
1132
+
1133
+ 284
1134
+ 00:24:18,940 --> 00:24:22,380
1135
+ ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ z negativeุŒ ุฑูƒุฒูŠ ู…ุนุงูŠุง ุงู„ z negativeุŒ
1136
+
1137
+ 285
1138
+ 00:24:22,380 --> 00:24:28,920
1139
+ ูƒูˆูŠุณุŸ ูˆ ุงู„ู…ูŠูˆ ุฃู‚ู„ุŒ ู†ูุชุฑุถ ุฃู‚ู„ุŒ ู…ุน ูƒุฏู‡ ุฃู†ุง ุจุทู„ุน
1140
+
1141
+ 286
1142
+ 00:24:28,920 --> 00:24:33,190
1143
+ ุงุญุชู…ุงู„ z ุฃู‚ู„ุŒ ู…ุด ู‡ูŠูƒ ู†ุญู„ ุงู„ุดู…ุงู„ู‡ุชูƒูˆู† ู†ูุณ ุงู„ุฃุฑุจุน
1144
+
1145
+ 287
1146
+ 00:24:33,190 --> 00:24:36,510
1147
+ ุนุงุฏูŠ ุฅุฐุง
1148
+
1149
+ 288
1150
+ 00:24:36,510 --> 00:24:40,910
1151
+ ุฃู† ูู‡ู…ูƒ ุงู„ุชุงู„ูŠ ุฅุฐุง ุงู„ value of the test ุงู„
1152
+
1153
+ 289
1154
+ 00:24:40,910 --> 00:24:46,090
1155
+ statistic ููŠ ู†ูุณ ุงู„ direction ูŠุนู†ูŠ ู‡ูŠ negative ูˆ
1156
+
1157
+ 290
1158
+ 00:24:46,090 --> 00:24:51,390
1159
+ ุฃู†ุช ุนุงูŠุฒ ุฃู‚ู„ ุงู„ be fair ุจุฌุณู…ู‡ุง ุนู„ู‰ ุงุชู†ูŠู† ู„ูˆ ู‡ูŠ
1160
+
1161
+ 291
1162
+ 00:24:51,390 --> 00:24:55,390
1163
+ positive ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ุจุฑุถู‡ ุจุฌุณู…ู‡ุง ุนู„ู‰ ุงุชู†ูŠู† ูˆ ุงูƒุชุด
1164
+
1165
+ 292
1166
+ 00:24:55,390 --> 00:24:59,410
1167
+ ุจุฌุณู…ุด ุนู„ู‰ ุงุชู†ูŠู†ูŠุนู†ูŠ ู…ุงูƒู†ุชุด .. ุงู„ุฌูˆุงุจ ุจุตูŠุฑ ุฌุฏุงุดุŸ
1168
+
1169
+ 293
1170
+ 00:24:59,410 --> 00:25:02,370
1171
+ ูŠุนู†ูŠ ูƒูŠู ุทู„ุน ุญุฏ ุงู„ุฌูˆุงุจุŸ ูˆุงุญุฏ ู†ู‚ุต 8 ู…ู† 100 ุนู„ู‰ 2ุŒ
1172
+
1173
+ 294
1174
+ 00:25:02,370 --> 00:25:09,290
1175
+ ู…ุธุจูˆุทุŸ ู„ู„ู€ 96 ู„ูˆ ู‡ู‰ ุฃูƒุจุฑ ูˆ ุงู„ู€ z negative ุฃูˆ ู‡ู‰
1176
+
1177
+ 295
1178
+ 00:25:09,290 --> 00:25:12,870
1179
+ ุฃู‚ู„ ูˆ ุงู„ู€ z ู…ุง ู„ู‡ุง positive ุงุญู†ุง ููŠ ุงู„ู„ู‰ ุนู†ุฏู‰
1180
+
1181
+ 296
1182
+ 00:25:12,870 --> 00:25:16,650
1183
+ ู…ุดุงู‡ุฏ ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ z positive ูˆ ุฃูƒุจุฑ ูุจุงู„ุชุงู„ูŠ
1184
+
1185
+ 297
1186
+ 00:25:16,650 --> 00:25:19,630
1187
+ ุจุฌุณู… ุงู„ู€ b value ุนู„ู‰ 2 ุฅุฐุง ุงู†ุง ุงูƒุชุจูƒ ุนู„ู‰ ู…ู„ุงุญุธุฉ
1188
+
1189
+ 298
1190
+ 00:25:19,630 --> 00:25:34,360
1191
+ ุตุบูŠุฑุฉ we divide b valueby two if ุฑู‚ู… ูˆุงุญุฏ ุงู„ู€
1192
+
1193
+ 299
1194
+ 00:25:34,360 --> 00:25:40,940
1195
+ z is positive ูˆ ุงู„ test mu greater than ุฃูƒุจุฑ ู…ู†
1196
+
1197
+ 300
1198
+ 00:25:40,940 --> 00:25:47,700
1199
+ ู…ุงุดูŠ ุฃูƒุจุฑ ู…ู† ุฃูŠ ู‚ูŠู…ุฉ ุฃูˆ ุงู„ z is negative ูˆ ุงู„
1200
+
1201
+ 301
1202
+ 00:25:47,700 --> 00:25:53,870
1203
+ alternative ู…ุงู„ู‡ ู…ูŠูˆ ุฃู‚ู„ุฅุฐุงู‹ ู†ู‚ู„ P value ู…ู† 2 ุฅุฐุง
1204
+
1205
+ 302
1206
+ 00:25:53,870 --> 00:25:58,770
1207
+ ูƒุงู† ุนู†ุฏ ูˆุงุญุฏ ู…ู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุตุญูŠุญ
1208
+
1209
+ 303
1210
+ 00:25:58,770 --> 00:26:06,050
1211
+ otherwise otherwise ูŠุนู†ูŠ ุฅูŠุดุŸ ููŠ ู…ุนุงุฏู„ ุฐู„ูƒ ู„ูˆ ูƒุงู†
1212
+
1213
+ 304
1214
+ 00:26:06,050 --> 00:26:09,010
1215
+ ุฃูŠ ุญุงุฌุฉ ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ negative ูˆู‡ุฏ ุฃู‚ู„ ุฃูˆ ุชุงู†ูŠ ุนู„ู‰
1216
+
1217
+ 305
1218
+ 00:26:09,010 --> 00:26:16,950
1219
+ ุงู„ุนูƒุณ ุงู„ P value ู…ุด ู‡ุชุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ P value ู„
1220
+
1221
+ 306
1222
+ 00:26:16,950 --> 00:26:21,010
1223
+ new ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ P value ุงู„ู„ูŠ ุนู†ุฏู‰ ู†ู‚ุตู‡ ู…ุน
1224
+
1225
+ 307
1226
+ 00:26:21,010 --> 00:26:21,270
1227
+ ุงุชู†ูŠู†
1228
+
1229
+ 308
1230
+ 00:26:24,730 --> 00:26:27,970
1231
+ ุงูƒุชุจูˆุง ูŠุง ุนุฒูŠุฒูŠุŒ ูƒุงู†ุช ู…ู„ุงุญุธุฉ ููŠ ุบุงูŠุฉ ุงู„ุฃู‡ู…ูŠุฉ ู‡ุฐุง
1232
+
1233
+ 309
1234
+ 00:26:27,970 --> 00:26:35,510
1235
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุณุคุงู„ ุงู„ู€ 11 ู†ุจุทู„ ุนู„ู‰ ุงู„ู€ 12 referring
1236
+
1237
+ 310
1238
+ 00:26:35,510 --> 00:26:38,830
1239
+ to 9-6 suppose the engineer had decided that the
1240
+
1241
+ 311
1242
+ 00:26:38,830 --> 00:26:43,650
1243
+ alternative to test was less than was less than
1244
+
1245
+ 312
1246
+ 00:26:43,650 --> 00:26:47,730
1247
+ ุฃู‚ู„ ู…ู† what would be the p-value of this test
1248
+
1249
+ 313
1250
+ 00:26:47,730 --> 00:26:53,510
1251
+ ู„ุญุธุฉุŒ ู‡ูˆ ุญูƒู‰ ุงู„ู€ z positive ู…ุธุจูˆุทุŸ ุญูƒู‰ ุงู„ู€ z
1252
+
1253
+ 314
1254
+ 00:26:53,510 --> 00:26:58,640
1255
+ positiveู…ุด ู‡ูŠูƒ ุญุงุฌุฉ z positive ููŠ ุงู„ุฃูˆู„ ุงู„ู…ุซู„ุฉ ููŠ
1256
+
1257
+ 315
1258
+ 00:26:58,640 --> 00:27:02,700
1259
+ ุงู„ุฃุตู„ ุงู„ scenario ููˆู‚ z positive ุงู„ู…ุซู„ุฉ ุนู†ุฏ z
1260
+
1261
+ 316
1262
+ 00:27:02,700 --> 00:27:10,480
1263
+ positive ูˆุงุด ุนุงูŠุฒู‡ุง ุฃู‚ู„ ู…ู† ู…ู† ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ุดูƒู„ุฉ
1264
+
1265
+ 317
1266
+ 00:27:10,480 --> 00:27:13,920
1267
+ ุงู„ู‚ูŠู…ุฉ ุงู„ B-value ุฃู†ุง ุญูƒูŠุช otherwise ูŠุนู†ูŠ ู„ูˆ
1268
+
1269
+ 318
1270
+ 00:27:13,920 --> 00:27:19,220
1271
+ ุงุฎุชู„ูุช ุงู„ุฃู…ูˆุฑ ุงู„ B-value ู‡ุชุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ู„ูŠ
1272
+
1273
+ 319
1274
+ 00:27:19,220 --> 00:27:22,970
1275
+ ุนู†ุฏูŠ ุนู„ู‰ ุงุชู†ูŠู†ูŠุนู†ูŠ ู‡ูˆ ู‚ุฏุงุดุฑ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู…ู† ุดูˆูŠุฉ
1276
+
1277
+ 320
1278
+ 00:27:22,970 --> 00:27:26,530
1279
+ ุณู†ุฉ ูˆุชุณุนูŠู† ู…ู† ู…ู„ูŠูˆู† ูˆุงุถุญ ุฅุฐุง ุณูˆุงุก 11 ูˆ 12 ููŠู‡ ุบุงูŠุฉ
1280
+
1281
+ 321
1282
+ 00:27:26,530 --> 00:27:37,650
1283
+ ุงู„ุฃู‡ู…ูŠุฉ ู‡ูŠ 11 ูˆ 12 ู†ุดูˆู 13 true
1284
+
1285
+ 322
1286
+ 00:27:37,650 --> 00:27:42,530
1287
+ or false ู†ุดูˆู referring to the same scenario if
1288
+
1289
+ 323
1290
+ 00:27:42,530 --> 00:27:45,090
1291
+ the test is performed with a level of significance
1292
+
1293
+ 324
1294
+ 00:27:45,090 --> 00:27:52,050
1295
+ of point 10 ูŠุนู†ูŠ ููŠ ุงู„ู…ุซู„ ุงู„ู„ูŠ ุงู†ุง ุงุชุจุนุชุงู†ูŠุณุคุงู„ ..
1296
+
1297
+ 325
1298
+ 00:27:52,050 --> 00:27:59,190
1299
+ ุณุคุงู„ 13 ุงุนุทุงู†ูŠ
1300
+
1301
+ 326
1302
+ 00:27:59,190 --> 00:28:03,410
1303
+ alpha 10 percent the
1304
+
1305
+ 327
1306
+ 00:28:03,410 --> 00:28:07,290
1307
+ null would be rejected ุจุงู„ุชุงู… ุฑูุถ ุงู„ูุฑุฏูŠุฉ ุงู„ุตูุฑูŠุฉ
1308
+
1309
+ 328
1310
+ 00:28:07,290 --> 00:28:13,570
1311
+ ุจู‚ุฑุฑู‡ุง ู…ุน ุงู„ B value ุงู„ B value ู‚ุฏุงุด ุญูƒูŠู‡ุง ููŠ ุฑุฃุณ
1312
+
1313
+ 329
1314
+ 00:28:13,570 --> 00:28:19,550
1315
+ ุงู„ู…ุณุงุฑ 8 ู…ู† 100 ู‡ูŠ 8ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ูˆ ุญูƒู‰ ู…ุด ุนู„ู‰ ุงู„ู€
1316
+
1317
+ 330
1318
+ 00:28:19,550 --> 00:28:22,650
1319
+ .. ู…ุด ุนู„ู‰ ุงู„ู€ 11 ู…ุด ุนู„ู‰ ุงู„ู€ 12 ูˆ 13 ุฃู†ุง ุฑุฃุณ ุงู„ู…ุซู„
1320
+
1321
+ 331
1322
+ 00:28:22,650 --> 00:28:28,290
1323
+ ุงู„ุฃุณุงุณูŠ ู…ูŠ ุฏูˆุฒ ู„ุงุช ูŠูƒูˆูŠู† 650 ุจุฏูŠ ุฃุนู…ู„ ุนู†ุฏ ูˆุงุญุฏ ู…ู†
1324
+
1325
+ 332
1326
+ 00:28:28,290 --> 00:28:32,250
1327
+ ุงู„ุนุดุฑุฉ ุงู„ ุจูŠ ูุงูŠู„ูˆ ุฅูŠุด ูƒุงู† ููŠ ุงู„ุชุณุงูˆูŠุŸ ุงู„ุชู…ุงู†ูŠุฉ ู…ู†
1328
+
1329
+ 333
1330
+ 00:28:32,250 --> 00:28:36,530
1331
+ ู…ูŠุฉ point zero eight just compare b value with
1332
+
1333
+ 334
1334
+ 00:28:36,530 --> 00:28:40,050
1335
+ alpha if the b value is more than alpha then we
1336
+
1337
+ 335
1338
+ 00:28:40,050 --> 00:28:43,730
1339
+ reject the hypothesis ูˆุงุถุญ ุญุงู„ุฉ is less than 10%
1340
+
1341
+ 336
1342
+ 00:28:43,730 --> 00:28:50,180
1343
+ ุฅุฐุง ู† rejectit's zero ู‡ูˆ ุจูŠุญูƒูŠ ุฏู„ุงู„ should be
1344
+
1345
+ 337
1346
+ 00:28:50,180 --> 00:28:53,660
1347
+ rejected yes true ุงุฐุง a is the correct answer ูู„ุณ
1348
+
1349
+ 338
1350
+ 00:28:53,660 --> 00:28:59,320
1351
+ ุงุฐุง ุงู„ุญู„ ุงูŠู‡
1352
+
1353
+ 339
1354
+ 00:28:59,320 --> 00:29:03,500
1355
+ ู‡ุฐุง
1356
+
1357
+ 340
1358
+ 00:29:03,500 --> 00:29:09,760
1359
+ eleven ูˆู‡ุฐุง twelve ูˆ thirteen ุงู„ุงู† ุดูˆู fourteen
1360
+
1361
+ 341
1362
+ 00:29:09,760 --> 00:29:14,920
1363
+ ุจุฑุถู‡
1364
+
1365
+ 342
1366
+ 00:29:14,920 --> 00:29:15,600
1367
+ true or false
1368
+
1369
+ 343
1370
+ 00:29:19,640 --> 00:29:22,680
1371
+ ู„ูˆ ุจูŠุญูƒูŠ if the test is performed with level of
1372
+
1373
+ 344
1374
+ 00:29:22,680 --> 00:29:27,260
1375
+ significance alpha 0
1376
+
1377
+ 345
1378
+ 00:29:27,260 --> 00:29:32,160
1379
+ .05 ุงู„ู…ุฑูู‚ุฉ ูƒุงู†ุช 0.10 ุฅู„ุง 0.5 ุงู„ู€ null would be
1380
+
1381
+ 346
1382
+ 00:29:32,160 --> 00:29:41,720
1383
+ rejected ู…ุฑุฉ
1384
+
1385
+ 347
1386
+ 00:29:41,720 --> 00:29:47,080
1387
+ ุชุงู†ูŠุฉ referring to ุณูŠู†ุงุฑูŠูˆ 9 ุน 6 if the test is
1388
+
1389
+ 348
1390
+ 00:29:47,080 --> 00:29:53,760
1391
+ performed at 5%ุงู„ู€ null would be rejectedุŸ ุงู„ุฎู…ุณุฉ
1392
+
1393
+ 349
1394
+ 00:29:53,760 --> 00:30:01,140
1395
+ ุนุงุดุŸ ุฃู†ุง ู„ุฎุจุทุชุŸ ุงุญู†ุง ุญุงู„ูŠู†ุง ู‚ุฏุงุดุฑุŸ ุญุงู„ูŠู†ุง ุฑุจุนุชุงุดุฑ
1396
+
1397
+ 350
1398
+ 00:30:01,140 --> 00:30:09,560
1399
+ ู†ุญู† ููŠ ุญุงู„ุฉ ุฑุจุนุชุงุดุฑุŸ ุฃู†ุง ุจู‚ุฑุง ููŠ ุฎู…ุณุฉ ุนุงุดุฑ ุงุญู†ุง ููŠ
1400
+
1401
+ 351
1402
+ 00:30:09,560 --> 00:30:16,060
1403
+ ุฑุจุนุชุงุดุฑ ุฎู„ุงุต ุทูŠุจ ู…ุฑุฉ ุชุงู†ูŠุฉ if the test performed a
1404
+
1405
+ 352
1406
+ 00:30:16,060 --> 00:30:21,290
1407
+ level of significance 10%ุงู„ุนู„ู…ุงุก ูŠุณุชุทูŠุน ุฃู† ูŠุฎุชู…
1408
+
1409
+ 353
1410
+ 00:30:21,290 --> 00:30:28,930
1411
+ ุฃู‚ู„ ู‚ูŠู…ุฉ ู‚ูˆุฉ ู„ุฅู†ุชุงุฌ ูƒุฑุงูƒุณ 650 ุชุจู‚ู‰ 2 ุชู„ุช ูˆู…ุง ู‡ูŠ 0
1412
+
1413
+ 354
1414
+ 00:30:28,930 --> 00:30:39,090
1415
+ .8 ู‡ู„ ู‡ูŠ ุฃุตุบุฑ ู…ู† 1 ู…ู† ุงู„ุนุดุฑุฉุŸ ุฅูŠุด ุฑุฃูŠูƒู…ุŸ ุงุชู„ู‚ู‰ ู…ุฑุฉ
1416
+
1417
+ 355
1418
+ 00:30:39,090 --> 00:30:41,970
1419
+ ุชุงู†ูŠุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุจ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ 10%
1420
+
1421
+ 356
1422
+ 00:30:41,970 --> 00:30:50,220
1423
+ ุงู„ุนู„ู…ุงุก ูŠุณุชุทูŠุน ุฃู† ูŠุฎุชู… ุฃู‚ู„ ู‚ูŠู…ุฉ ู‚ูˆุฉwe start to
1424
+
1425
+ 357
1426
+ 00:30:50,220 --> 00:30:55,680
1427
+ produce ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู† ุงู„ mean ุจูŠุณุงูˆูŠ 650 ู‡ูˆ ุจูŠุญูƒูŠ
1428
+
1429
+ 358
1430
+ 00:30:55,680 --> 00:31:00,540
1431
+ ูƒุฏู‡ ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡ ุตุญุŸ ุงุญู†ุง ุนู†ุฏ 8% ุงู„ู„ูŠ ุจูŠุจู‚ู‰ we
1432
+
1433
+ 359
1434
+ 00:31:00,540 --> 00:31:07,780
1435
+ reject ู‡ุฐูŠ rejected ุงุฐุง ุงู„ H0 ู…ุด ุตุญูŠุญ ู‡ูˆ ุงุดุญูƒ ุงุฐุง
1436
+
1437
+ 360
1438
+ 00:31:07,780 --> 00:31:11,820
1439
+ ุงู„ุฌูˆุงุจ ุงุดุญูƒูˆู† false B is the correct answer ุฎู„ุงุต
1440
+
1441
+ 361
1442
+ 00:31:11,820 --> 00:31:21,210
1443
+ ู‡ูˆ ุงุด ุจูŠุญูƒูŠ ูŠุนู†ูŠ ุงูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนู‡ุŸุฅูŠุด ู‚ุฑุงุฑู‡ุŸ ุฅู† ุงู„ู€
1444
+
1445
+ 362
1446
+ 00:31:21,210 --> 00:31:26,630
1447
+ mean ู…ุงู†ูˆ .. ุฅูŠู‡ ูƒุจูŠุฑ ูƒุฐุงุŸ ุฅู† ุงู„ู€ mean ู…ุณุชูˆู‰ 650
1448
+
1449
+ 363
1450
+ 00:31:26,630 --> 00:31:32,150
1451
+ ูŠุนู†ูŠ ู‡ูˆ ู…ุน ุงู„ู‚ุฑุงุฑ ู‡ุฐุง ู‡ู„ ูƒู„ุงู…ู‡ ุตุญ ูˆู„ุง ู„ุฃุŸ ุงู„ B
1452
+
1453
+ 364
1454
+ 00:31:32,150 --> 00:31:36,990
1455
+ value ุจุชุงุนุชู†ุง point 08 ุงู„ alpha ุชุจุนุชูŠ 10% ุนูƒุงู„ูŠู‡ุง
1456
+
1457
+ 365
1458
+ 00:31:36,990 --> 00:31:47,110
1459
+ 10ุŒ ู…ุธุจูˆุทุŸ ู‡ู„ ุงู„ point B value ุฃุตุบุฑ ู…ู† 10%ุŸ8 ู…ู†
1460
+
1461
+ 366
1462
+ 00:31:47,110 --> 00:31:52,910
1463
+ 100 ุฃุตุบุฑ ุฅุฐุง ู„ู… ูŠูƒู† ู‡ู†ุงูƒ ู‚ุฑุงุฑ ุฅุชุฌุงู‡ ุงู„ู€ Zero ุทุจุนุง
1464
+
1465
+ 367
1466
+ 00:31:52,910 --> 00:31:55,690
1467
+ ุฅุชุฌุงู‡ ุงู„ู€ Zero ุฅุฐุง ูƒู„ ู‡ุฐุง ู„ูŠุณ ุตุญูŠ ู„ุฃู† ุฅุชุฌุงู‡ ุงู„ู€
1468
+
1469
+ 368
1470
+ 00:31:55,690 --> 00:32:01,810
1471
+ Zero ู…ุน ูƒุฏู‡ ู…ูŠู† ุงู„ุตุญูŠ H1ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ูƒู„ ู‡ุฐุง ู„ูŠุณ
1472
+
1473
+ 369
1474
+ 00:32:01,810 --> 00:32:11,770
1475
+ ุตุญูŠ ุฑู‚ู… 15 ุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุฉ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ 5%
1476
+
1477
+ 370
1478
+ 00:32:11,770 --> 00:32:17,010
1479
+ ุฃู„ูุฉ ุจุฎู…ุณุŒ ุงุฎุชู„ูุช ุงู„ุฃู„ูุฉthe null would be rejected
1480
+
1481
+ 371
1482
+ 00:32:17,010 --> 00:32:20,270
1483
+ ุงู†ุง
1484
+
1485
+ 372
1486
+ 00:32:20,270 --> 00:32:23,830
1487
+ ุฎู„ู‘ูŠ ุจุงูƒ ุงู„ู…ุซู„ุฉ ุชุฃุชูŠ ู…ู† ููˆู‚ ุฎุงู„ุต ู‡ูˆ ุงุชุฌุงู‡ 11 ูˆ 12
1488
+
1489
+ 373
1490
+ 00:32:23,830 --> 00:32:26,970
1491
+ ู„ู…ุง ุตุงุฑุช one tail ู„ุฃ ุงู†ุง ููŠ ุงู„ุฑุฃุณ ุงู„ู…ุซู„ุฉ ู…ู† ุงู„ ..
1492
+
1493
+ 374
1494
+ 00:32:26,970 --> 00:32:31,930
1495
+ ู…ู† ุงู„ scenario ุงู„ุฃุตู„ูŠ ุฅูŠุด ูƒุงู†ุชุŸ ู„ุง ูŠุณุงูˆูŠ ูˆ 8 ู…ู†
1496
+
1497
+ 375
1498
+ 00:32:31,930 --> 00:32:39,030
1499
+ 100 ู‚ุงุฑู†ู‡ุง ู…ุน Alpha ู‡ู„ ุงู„ B value ุงู„ู„ูŠ ุจุชุณุงูˆูŠ 8
1500
+
1501
+ 376
1502
+ 00:32:39,030 --> 00:32:43,110
1503
+ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฅุฐุง ุฅูŠุด ุงู„ู‚ุฑุงุฑุŸ
1504
+
1505
+ 377
1506
+ 00:32:48,720 --> 00:32:53,680
1507
+ the null would be rejected ุงุญู†ุง ู‚ุฑุฑุด don't reject
1508
+
1509
+ 378
1510
+ 00:32:53,680 --> 00:32:57,920
1511
+ ุฅุฐุง ู‚ุฑุฑ .. ุฅู† ุญูƒู‰ ุงู„ูƒู„ุงู… ุฏู‡ ุฎุทุฃ ุฅุฐุง correct answer
1512
+
1513
+ 379
1514
+ 00:32:57,920 --> 00:33:04,060
1515
+ is B ุฅุฐุง ุงู„ุฎู…ุณุฉ ุนุดุฑ ุจูŠู‡ ุจู†ุฎุชุงุฑ .. ู‡ุฐูˆู„ ู„ุณู‡ ุจุฏู‡ู…
1516
+
1517
+ 380
1518
+ 00:33:04,060 --> 00:33:08,180
1519
+ ุดูˆูŠุฉ ุชุฑูƒูŠุฒ ุงู†ุดูˆู ุณุชุฉ ุนุดุฑ
1520
+
1521
+ 381
1522
+ 00:33:18,620 --> 00:33:25,740
1523
+ ุจุฑุถู‡ true or false if the test is performed at
1524
+
1525
+ 382
1526
+ 00:33:25,740 --> 00:33:31,900
1527
+ level alpha 5 percent the engineer can conclude
1528
+
1529
+ 383
1530
+ 00:33:31,900 --> 00:33:38,940
1531
+ the mean amount of force to produce is 650 at a
1532
+
1533
+ 384
1534
+ 00:33:38,940 --> 00:33:39,120
1535
+ five
1536
+
1537
+ 385
1538
+ 00:33:47,460 --> 00:33:54,020
1539
+ ู‡ู†ุง ุตุงุฑุช five personsุŒ ู…ุธุจูˆุทุŸ ู‡ูˆ ุงู„ู‚ุฑุงุฑ ุฅูŠุด ุชุงุจุนู‡ุŸ
1540
+
1541
+ 386
1542
+ 00:33:54,020 --> 00:34:03,200
1543
+ ุงู„ู€ 100 ูŠูƒุจุฑ 650 ุฅุฐุง ุฅูŠุด ู‚ุฑุงุฑ ุตุญ ูˆู„ุง ุฎุทุฃุŸ
1544
+
1545
+ 387
1546
+ 00:34:03,200 --> 00:34:09,120
1547
+ ุงู„ู„ูŠ ุจูŠุจู‚ู‰ ุนู„ู‰ ุงู„ุดู…ุงู„ู‡ุง ุชู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒุŸ ุฃูƒุจุฑ ู…ู† ุฃู„ู
1548
+
1549
+ 388
1550
+ 00:34:09,120 --> 00:34:13,980
1551
+ ูŠุนู†ูŠ don't reject ูŠุนู†ูŠ don't ..
1552
+
1553
+ 389
1554
+ 00:34:16,950 --> 00:34:25,110
1555
+ rejectุŒ ู…ุธู‡ุฑุŸ ุฅุฐุง
1556
+
1557
+ 390
1558
+ 00:34:25,110 --> 00:34:31,970
1559
+ ุงู„ู€ 16 ููŠู‡ุง ุฎุทุฃุŒ ุชุฑูƒุฒูˆุง ู…ุนุงูŠุงุŒ ููŠ 16 ุงู„ู€ alpha 5
1560
+
1561
+ 391
1562
+ 00:34:31,970 --> 00:34:36,150
1563
+ percent the engineer can include the mean amount
1564
+
1565
+ 392
1566
+ 00:34:36,150 --> 00:34:39,710
1567
+ of force to produce cracks in stressed oak
1568
+
1569
+ 393
1570
+ 00:34:39,710 --> 00:34:45,090
1571
+ furnaces 650 ูŠุนู†ูŠ ู‡ูˆ ู…ุน ุงู„ู‚ุฑุงุฑ ุฅูŠุดุŸ ุฅู†ู‡ ุจุณูˆุก 650
1572
+
1573
+ 394
1574
+ 00:34:46,150 --> 00:34:50,670
1575
+ ุจู†ุนู…ู„ ุจูŠู‡ value 88% ูู‡ูŠ ุฃูƒุจุฑ ู…ู†ู‡ ุจุงู„ุชุงู„ูŠ ูˆูŠู‡ don't
1576
+
1577
+ 395
1578
+ 00:34:50,670 --> 00:34:55,190
1579
+ reject ุฅุฐุง ุงู„ูƒู„ู…ุฉ ุตุญ ุฅุฐุง correct answer ู…ูŠู†ุŸ ุฅุฐุง
1580
+
1581
+ 396
1582
+ 00:34:55,190 --> 00:35:00,190
1583
+ ุญู„ูˆ ุตุญ ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ ู…ูƒุชูˆุจ ุบู„ุท ู…ูƒุชูˆุจ ุจูŠ ุงู„
1584
+
1585
+ 397
1586
+ 00:35:00,190 --> 00:35:06,050
1587
+ correct answer ุนุจุงุฑุฉ ุนู† ุฃูŠู‡ุŸ ุฎู„ุงุตุŸ ูˆุงุถุญ ุงู„ ุจูŠู‡
1588
+
1589
+ 398
1590
+ 00:35:06,050 --> 00:35:09,250
1591
+ value ููŠ ุงู„ู…ุซู„ุฉ 88% ุงู„ุฃู„ุซุฉ ุจุฎู…ุณุฉ ุฅ๏ฟฝ๏ฟฝุด ุงู„ู‚ุฑุงุฑ reject
1592
+
1593
+ 399
1594
+ 00:35:09,250 --> 00:35:13,110
1595
+ ูˆู„ุง don't rejectุŸ don't reject don't reject ู…ุนู†ุงู‡
1596
+
1597
+ 400
1598
+ 00:35:13,110 --> 00:35:19,200
1599
+ ุงู„ู…ูŠู† ุจุงู„ุณุงุนุฉ 650ู„ุฐุง ุจู‚ุฏุฑ ุฃุญูƒูŠ 650 ุฎู„ุงุต ุฅู„ู‡ุง ู‚ูˆู„
1600
+
1601
+ 401
1602
+ 00:35:19,200 --> 00:35:28,200
1603
+ ุชุงู†ูŠ ู„ู…ุง ุจุญูƒูŠ don't reject ู…ุนู†ุงู‡ุง ุฅูŠุดุŸ
1604
+
1605
+ 402
1606
+ 00:35:28,200 --> 00:35:36,780
1607
+ ู…ุนู†ุงู‡ุง we don't have sufficient evidence
1608
+
1609
+ 403
1610
+ 00:35:36,780 --> 00:35:39,960
1611
+ sufficient
1612
+
1613
+ 404
1614
+ 00:35:39,960 --> 00:35:49,670
1615
+ evidence to support ู…ูŠู†ุŸH1 ุจุณ ู…ู‚ุฏุฑุด ุฃุญูƒูŠ ุงู„ู€H0
1616
+
1617
+ 405
1618
+ 00:35:49,670 --> 00:35:56,430
1619
+ ุตุญูŠุญ ุนุดุงู† ูƒุฏู‡ ุงู„ูƒุชุงุจ ุญุท ุงู„ุฌุงุจุฉ ู…ูŠู†ุŸ false ุฅุฐุง when
1620
+
1621
+ 406
1622
+ 00:35:56,430 --> 00:35:59,810
1623
+ we don't reject a null hypothesis ู…ุด ู…ุนู†ุงู‡ ุฅูŠุด ุตูุฑ
1624
+
1625
+ 407
1626
+ 00:35:59,810 --> 00:36:03,550
1627
+ ุตุญูŠุญ ุฅูŠุด ู…ุนู†ุงู‡ุŸ ู…ุนู†ุงู‡ we don't have sufficient
1628
+
1629
+ 408
1630
+ 00:36:03,550 --> 00:36:06,410
1631
+ evidence to support alternative hypothesis ุฅุฐุง ู…ุง
1632
+
1633
+ 409
1634
+ 00:36:06,410 --> 00:36:11,580
1635
+ ูƒุฏู‡ ู‡ุฑูˆุญ ุฃุดุชุจ ุฅูŠู‡ุŸ ุฃู‚ูˆู„ ู„ุฃ ุฅูŠู‡ุŸุงู„ุตุญูŠุญุฉ ู„ูŠุณุช ู‚ูˆูŠุฉ
1636
+
1637
+ 410
1638
+ 00:36:11,580 --> 00:36:14,620
1639
+ ู„ุฃู†ู†ุง ู„ุง ู†ุณุชุทูŠุน ุฃู† ู†ู‚ูˆู„ accept it's zero when we
1640
+
1641
+ 411
1642
+ 00:36:14,620 --> 00:36:21,940
1643
+ don't reject, don't reject doesn't mean accept ู‡ุฐุง
1644
+
1645
+ 412
1646
+ 00:36:21,940 --> 00:36:25,140
1647
+ ุงู„ู†ู‚ุทุฉ ููŠ ุบุงูŠุฉ ุงู„ุฃู‡ู…ูŠุฉุŒ ุนุฏู… ุงู„ุฑูุถ ู„ูŠุณ ู…ุนู†ุงู‡ ู‚ุจูˆู„ุŒ
1648
+
1649
+ 413
1650
+ 00:36:25,140 --> 00:36:29,120
1651
+ ู…ุนู†ุงู‡ ุฃูŠุดุŸ we don't have sufficient evidence to
1652
+
1653
+ 414
1654
+ 00:36:29,120 --> 00:36:35,920
1655
+ support each one ุฒู…ุงู† ูƒุฐุง ู‚ุฑุงุฑู‡ ุฃู† ุงู„ H ุตุญูŠุญ ู„ูŠุณ
1656
+
1657
+ 415
1658
+ 00:36:35,920 --> 00:36:45,670
1659
+ ุตุญูŠุญ ู…ุงุนู†ุฏูŠุด ุฃุฏู„ุฉ ุชุฏุนู‰ ู…ูŠู†ุŸH1 ุฎู„ุงุต ุฎู„ุงุต
1660
+
1661
+ 416
1662
+ 00:36:45,670 --> 00:36:50,910
1663
+ ุฅุญู†ุง ุจู†ุญูƒูŠ ู…ุงุนู†ุฏูŠุด ุฃุฏู„ุฉ ุชุฏุนู… H1 ูู‚ุฑุงุฑู‡ ุฎุทุฃ ุฎู„ุงุต
1664
+
1665
+ 417
1666
+ 00:36:50,910 --> 00:36:58,050
1667
+ ุงู„ู‚ุฑุงุฑ is then B if the correct answer is B ุดูˆู ุงู„
1668
+
1669
+ 418
1670
+ 00:36:58,050 --> 00:37:01,890
1671
+ 17 ุจูŠ
1672
+
1673
+ 419
1674
+ 00:37:01,890 --> 00:37:09,630
1675
+ ู‡ุฐุง ุจูŠ 16 ุจูŠ 17
1676
+
1677
+ 420
1678
+ 00:37:26,820 --> 00:37:30,660
1679
+ ุงู„ุณุคุงู„ ุงู„ุณุงุจุน .. suppose the engineer had decided
1680
+
1681
+ 421
1682
+ 00:37:30,660 --> 00:37:34,340
1683
+ that the alternative to test was that the mean was
1684
+
1685
+ 422
1686
+ 00:37:34,340 --> 00:37:45,280
1687
+ greater than .. greater than 650 ู‡ูˆ ุงู„ุงู…ุฑ ุงุฎุชุจุฑ
1688
+
1689
+ 423
1690
+ 00:37:45,280 --> 00:37:50,100
1691
+ 100 ุฃูƒุจุฑ ู…ู† 650 ุตุญูŠุญ
1692
+
1693
+ 424
1694
+ 00:37:50,100 --> 00:37:58,620
1695
+ 16 ูุงู„ุณุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุฉ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ Alpha 5%
1696
+
1697
+ 425
1698
+ 00:37:58,620 --> 00:38:03,760
1699
+ ูุงู„ู†ู„
1700
+
1701
+ 426
1702
+ 00:38:03,760 --> 00:38:12,520
1703
+ ุณูŠุชูุฑุฌ ุฅุฐุง ูƒู†ุง ุญูƒูŠู†ุง ุฃู† P value ูƒุงู†ุช positive
1704
+
1705
+ 427
1706
+ 00:38:12,520 --> 00:38:19,100
1707
+ ู…ุธุจูˆุท ูŠุนู†ูŠ ู…ุด ู‡ุชุณุงูˆูŠ ุฃุฑุจุนุฉ ููŠ ุงู„ู…ูŠุฉ ุฅุฐุง ูƒุงู†ุช Alpha
1708
+
1709
+ 428
1710
+ 00:38:19,100 --> 00:38:21,120
1711
+ 5% ู†ุชูุฑุฌ ุฃูˆ ู„ุง ู†ุชูุฑุฌ
1712
+
1713
+ 429
1714
+ 00:38:23,760 --> 00:38:32,780
1715
+ ุงู„ู€ B value equal 4% ุฃู‚ู„ ู…ู† 5 ุฅุฐุง ุงู„ู€ reject ุฅุฐุง
1716
+
1717
+ 430
1718
+ 00:38:32,780 --> 00:38:37,540
1719
+ ุงู„ู€ correct answer is A true ุฅุฐุง ุงู„ู€ 17 ุงู„ู€ answer
1720
+
1721
+ 431
1722
+ 00:38:37,540 --> 00:38:42,900
1723
+ is A number
1724
+
1725
+ 432
1726
+ 00:38:42,900 --> 00:38:46,720
1727
+ 18 suppose
1728
+
1729
+ 433
1730
+ 00:38:46,720 --> 00:38:49,740
1731
+ the engineer had decided that the alternative to
1732
+
1733
+ 434
1734
+ 00:38:49,740 --> 00:38:53,260
1735
+ test was the mean was less than 650
1736
+
1737
+ 435
1738
+ 00:38:59,800 --> 00:39:08,440
1739
+ ุซู… ุฅุฐุง ุชู… ุชุฌุงุฑุจ ุงู„ุงุฎุชุตุงุฑ ุจู‚ูŠู…ุฉ 5% ุฑุงูƒุฒูŠ ู…ุนุงูƒ ุชุงู†ูŠ
1740
+
1741
+ 436
1742
+ 00:39:08,440 --> 00:39:13,920
1743
+ ุงู„ู€ z positive ูˆู‡ุฐุง
1744
+
1745
+ 437
1746
+ 00:39:13,920 --> 00:39:18,600
1747
+ ุฃู‚ู„ ุงู„ ุจูŠุจ ูุงู„ูŠ ุดูˆ ู‡ุชุณุงูˆูŠุŸ
1748
+
1749
+ 438
1750
+ 00:39:18,600 --> 00:39:24,120
1751
+ one minus ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ 96 reject ูˆู„ุง don't rejectุŸ
1752
+
1753
+ 439
1754
+ 00:39:25,890 --> 00:39:29,530
1755
+ ุฅูŠู‡ุŸ ู„ุฃู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุฃุตุบุฑ ุฃูˆ ุฃูƒุจุฑ 5%ุŸ ุฃูƒุจุฑ ุจูƒุชูŠุฑ ู…ู†
1756
+
1757
+ 440
1758
+ 00:39:29,530 --> 00:39:39,230
1759
+ 5% ุฅุฐุง don't reject H0 ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ุฃูŠุชูŠู† ูุจูŠุญูƒูŠ
1760
+
1761
+ 441
1762
+ 00:39:39,230 --> 00:39:42,130
1763
+ ุงู„ .. the null would be rejected ุงุญู†ุง ู…ุด ุญูƒูŠู†ุง
1764
+
1765
+ 442
1766
+ 00:39:42,130 --> 00:39:48,070
1767
+ don't reject ุฅุฐุง correct answer is B ูˆุงุถุญ
1768
+
1769
+ 443
1770
+ 00:39:48,070 --> 00:39:51,590
1771
+ ู„ุณู‡ ุฃู†ุง ุจุฏุฃ ุงู„ุขู† ุชููƒูŠุฑ ู…ุด ู…ุฌุฑุฏ ุฃูƒูˆู† ุญุงูุธ ุฃูˆ ุญู„ ู‡ุฐุง
1772
+
1773
+ 444
1774
+ 00:39:51,590 --> 00:39:53,590
1775
+ ุงู„ุณุคุงู„ ูƒูˆูŠุณุฉ ูŠุนู†ูŠ ุจุฏุฃ ุดุจูŠุฉ ุดุบู„
1776
+
1777
+ 445
1778
+ 00:39:59,170 --> 00:40:04,070
1779
+ ุดูˆู ุญุณุจ ุงู„ edition ุชุจุนุชูƒุŒ ู‡ุงูŠ ุงู„ edition seven ุฅุฐุง
1780
+
1781
+ 446
1782
+ 00:40:04,070 --> 00:40:10,550
1783
+ ู†ูุณ ุงู„ุทุจุนุฉ ุจุชูƒูˆู† ู†ูุณ ุงู„ุฃุณู„ุฉ ุฃุญูŠุงู†ุง ุจุชุบูŠุฑ ุงู„ุฃู„ู‚ุงู…
1784
+
1785
+ 447
1786
+ 00:40:10,550 --> 00:40:19,690
1787
+ ุจุณ ู†ูุณ ุงู„ููƒุฑุฉ ู…ู…ูƒู† ู†ุดูˆู
1788
+
1789
+ 448
1790
+ 00:40:19,690 --> 00:40:20,130
1791
+ ุงู„ู„ูŠ ุจุนุฏู‡
1792
+
1793
+ 449
1794
+ 00:40:36,210 --> 00:40:45,230
1795
+ ุฅุฐุง ุงู„ุจุงุญุซ ู„ู… ูŠุฑูุถ ู†ู„ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ูˆ ุฃู†ุง ู„ุง ุฃุฑูุถ
1796
+
1797
+ 450
1798
+ 00:40:45,230 --> 00:40:51,870
1799
+ ู†ู„ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ
1800
+
1801
+ 451
1802
+ 00:40:54,110 --> 00:41:01,090
1803
+ ู‡ูŠ ุงูŠุด ุญูƒุงูŠุฉุŸ don't reject true ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุตุญ ุจุฑูุถ
1804
+
1805
+ 452
1806
+ 00:41:01,090 --> 00:41:04,470
1807
+ ุงู„ุดูŠุก ุตุญ is a correct decision ู„ุฅู† ุงู„ correct ุจูŠุฌูŠ
1808
+
1809
+ 453
1810
+ 00:41:04,470 --> 00:41:06,750
1811
+ ู…ู† ูˆูŠู†ุŸ either don't reject ุงู„ zero when it is
1812
+
1813
+ 454
1814
+ 00:41:06,750 --> 00:41:11,130
1815
+ true or reject its false ููŠ ุญุงู„ุชูŠู† ุงู„ true ุงู„ type
1816
+
1817
+ 455
1818
+ 00:41:11,130 --> 00:41:16,210
1819
+ one error reject ุงู„ zero when it is true ูˆ ุงู„ type
1820
+
1821
+ 456
1822
+ 00:41:16,210 --> 00:41:19,770
1823
+ two don't reject when it is false ูุจุงู„ุชุงู„ุช a
1824
+
1825
+ 457
1826
+ 00:41:19,770 --> 00:41:20,330
1827
+ correct decision
1828
+
1829
+ 458
1830
+ 00:41:37,700 --> 00:41:41,800
1831
+ ุงู„ุณุคุงู„ ุงู„ู€ twenty which
1832
+
1833
+ 459
1834
+ 00:41:41,800 --> 00:41:48,700
1835
+ of the following is not trueุŸ ุจูŠุญูƒูŠ ุงู„ู†ูˆุนูŠุฉ
1836
+
1837
+ 460
1838
+ 00:41:48,700 --> 00:41:56,180
1839
+ ุงู„ุชุงู†ูŠุฉ ู…ู† ุงู„ุฃุณู„ุฉ ู…ูŠู† ู…ู† ู‡ุฏูˆู„ ู…ุด ุตุญ about the
1840
+
1841
+ 461
1842
+ 00:41:56,180 --> 00:42:00,140
1843
+ level of significance ู…ูŠู† ู…ุด ุตุญ ุจุงู„ู†ุณุจุฉ ู„ู„ alphaุŸ
1844
+
1845
+ 462
1846
+ 00:42:00,140 --> 00:42:03,820
1847
+ ู„ุงุฒู… ุฃุญุท ููŠ ุฏู…ุงุบูƒ ุชุนุฑูŠู ุงู„ alphaุŒ ู…ุธุจูˆุทุŸ ุงู„ alpha
1848
+
1849
+ 463
1850
+ 00:42:03,820 --> 00:42:08,990
1851
+ ุงู„ุดุนุฑ ุงู„ุชุนุฑูŠูุฃู†ุง ููŠ ุนู†ุฏูŠ ุงู„ู€ type 1 error ู…ุธุจูˆุท
1852
+
1853
+ 464
1854
+ 00:42:08,990 --> 00:42:14,970
1855
+ ูˆุงู„ู€ alpha ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ probability ู„ู„ู€ type 1
1856
+
1857
+ 465
1858
+ 00:42:14,970 --> 00:42:18,710
1859
+ error ูˆุงู„ู€ type 1 error ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ reject
1860
+
1861
+ 466
1862
+ 00:42:18,710 --> 00:42:25,610
1863
+ through null hypothesis ู„ุงุฒู…ุŒ ู„ูˆ ุฌุงู…ุญู„ูŠ ู…ุซู„ุง ุฃุญุท
1864
+
1865
+ 467
1866
+ 00:42:25,610 --> 00:42:29,130
1867
+ ุงู„ูƒู„ุงู… ุฏู‡ ุฅู…ุง ุฃู†ุง ู…ุชุฎูŠู„ู‡ ุฃูˆ ุฃูƒุชุจ ุนู„ู‰ ูˆุฑู‚ุฉ ูŠุนู†ูŠ
1868
+
1869
+ 468
1870
+ 00:42:29,130 --> 00:42:34,010
1871
+ ู„ุญุธูˆ ุฃู†ุง ุจูƒุชุจุŒ ุจูƒุชุจุด ูƒู„ุงู… ูˆุงุถุญ ุจู„ ุงู†ุง ูŠุนู†ูŠ scratch
1872
+
1873
+ 469
1874
+ 00:42:35,300 --> 00:42:39,500
1875
+ ู…ุด ู‡ุฐุง ู…ุทู„ูˆุจ ูŠุนู†ูŠ ุฃูŠ ุญุงุฌุฉ ุจูƒุชุจ ู„ุฅู† ุงู„ู‡ุฏู ู…ุด ู‡ูŠูƒ
1876
+
1877
+ 470
1878
+ 00:42:39,500 --> 00:42:43,340
1879
+ ุงู„ู‡ุฏู ุฃูู‡ู… ุงู„ู†ุงุณ ู„ุฃ ูŠุง ู…ุง ุจูƒุชุจ ุฅุฐุง ุทุจูŠุนุชูŠ ู…ุชุนูˆุฏ
1880
+
1881
+ 471
1882
+ 00:42:43,340 --> 00:42:47,320
1883
+ ุนู„ู‰ ูƒุชุงุจุฉ ุจูƒุชุจ ู…ุด ู…ุชุนูˆุฏ ุฃุฎู„ูŠู‡ุง ุนู„ู‰ ุดุฑูŠุท ู…ูˆุฑ ู…ุนุงู‡
1884
+
1885
+ 472
1886
+ 00:42:47,320 --> 00:42:51,700
1887
+ ุงู„ level of significance is also called alpha ู‡ุฐู‡
1888
+
1889
+ 473
1890
+ 00:42:51,700 --> 00:43:00,960
1891
+ ู…ุธุจูˆุทุฉ ู…ุธุจูˆุท ุงู„ significance ู‡ูŠ alpha ุฅุฐุง ุฃู†ุช ุตุญุทุจ
1892
+
1893
+ 474
1894
+ 00:43:00,960 --> 00:43:04,180
1895
+ ุฏู‡ ุฃุณุฃู„ูƒ ุงู„ observed ู„ูˆ ูƒุชุจุช ู‡ู†ุง the observed
1896
+
1897
+ 475
1898
+ 00:43:04,180 --> 00:43:10,380
1899
+ level ุฅูŠุด ุจู†ุณู…ูŠู‡ุŸ the observed significance levelุŸ
1900
+
1901
+ 476
1902
+ 00:43:10,380 --> 00:43:14,780
1903
+ ู…ูŠู†
1904
+
1905
+ 477
1906
+ 00:43:14,780 --> 00:43:17,000
1907
+ ุงู„ observed significance levelุŸ ุฏู‡ ู…ูŠุฒ ู…ู† ุงู„
1908
+
1909
+ 478
1910
+ 00:43:17,000 --> 00:43:20,720
1911
+ significance level ูˆ ุงู„ observed significance
1912
+
1913
+ 479
1914
+ 00:43:20,720 --> 00:43:27,720
1915
+ level ุงู„ B value ุงู„ B value the observed
1916
+
1917
+ 480
1918
+ 00:43:27,720 --> 00:43:31,000
1919
+ significance levelู‡ูˆ ุจูŠุญูƒูŠ ุน ุงู„ significance level
1920
+
1921
+ 481
1922
+ 00:43:31,000 --> 00:43:37,340
1923
+ Alpha ูƒู„ุงู… ุตุญ ุจูŠ significance level is another
1924
+
1925
+ 482
1926
+ 00:43:37,340 --> 00:43:41,000
1927
+ name for type 2 error ู„ุญุธุฉ ุฃู†ุง ูƒู†ุช ุจูŠู‚ูˆู„ type 1
1928
+
1929
+ 483
1930
+ 00:43:41,000 --> 00:43:45,180
1931
+ ุฅุฐุง ู‡ุฐู‡ ุบู„ุท ุฅุฐุง ุงู„ automatic ู‡ุฐู‡ ู…ุด ุตุญ ุทุจ ู†ูƒู…ู„
1932
+
1933
+ 484
1934
+ 00:43:45,180 --> 00:43:49,520
1935
+ ู†ูุณูŠ ุงู†ุง ู…ุงู‚ุฑุนุชุด ู‡ุฐู‡ ู‚ุฑุฃุช C the larger the level
1936
+
1937
+ 485
1938
+ 00:43:49,520 --> 00:43:52,640
1939
+ of significance the more likely you are to reject
1940
+
1941
+ 486
1942
+ 00:43:52,640 --> 00:43:57,000
1943
+ the null hypothesis the
1944
+
1945
+ 487
1946
+ 00:43:57,000 --> 00:44:00,470
1947
+ larger the level of significanceูŠุนู†ูŠ ุงู„ู€ alpha ู„ู…ุง
1948
+
1949
+ 488
1950
+ 00:44:00,470 --> 00:44:04,270
1951
+ ุจุชูƒุจุฑ ู…ุด ุงู„ b value ุงู„ alpha the more likely you
1952
+
1953
+ 489
1954
+ 00:44:04,270 --> 00:44:09,550
1955
+ are to reject ูƒู„ุงู… ุตุญ ู„ุฃู† ู„ู…ุง ุจุชูƒุจุฑ ุจุตูŠุฑ ุงู„ b
1956
+
1957
+ 490
1958
+ 00:44:09,550 --> 00:44:12,990
1959
+ value ุฃุตุบุฑ ู…ู†ู‡ุง ุชุฑูƒุฒูŠ ู…ุนุงูŠุง ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช ุงู„ b
1960
+
1961
+ 491
1962
+ 00:44:12,990 --> 00:44:19,890
1963
+ value equal 104 ูˆ alpha ุจุงู„ุณุงุนุฉ 5% ุนุดุงู† ุงู„ู‚ุฑุงุฑ
1964
+
1965
+ 492
1966
+ 00:44:19,890 --> 00:44:24,890
1967
+ reject ู…ุธุจูˆุท ู„ุฃู†
1968
+
1969
+ 493
1970
+ 00:44:24,890 --> 00:44:30,440
1971
+ ุงู„ b value ุฃู‚ู„ุฎู„ู‘ูŠู†ูŠ ุฃุญูƒูŠ ู‡ุฐู‡ ุจุชุณุงูˆูŠุŒ ู…ุด ูƒุฏู‡ุŒ ุณุชุฉ
1972
+
1973
+ 494
1974
+ 00:44:30,440 --> 00:44:35,980
1975
+ ู…ู† ุฃู„ูุŒ we don't rejectุŒ ู…ุธุจูˆุทุŸ ุทูŠุจุŒ ู‡ูˆ ุฅูŠุด ุจูŠุญูƒูŠุŸ
1976
+
1977
+ 495
1978
+ 00:44:35,980 --> 00:44:39,040
1979
+ the larger the level of significanceุŒ ูŠุนู†ูŠ ุฃู„ูุฉ ู…ุง
1980
+
1981
+ 496
1982
+ 00:44:39,040 --> 00:44:43,700
1983
+ ู„ู‡ุง ุงู„ุฒูŠุฏุŒ ุฎู„ู‘ูŠ ุจูŠุจู‚ู‰ ู„ุฒู…ูŠุฉุŒ ุงู„ุฒูŠุฏ ุฎู„ู‘ูŠู‡ ูŠุนู†ูŠ ู…ุซู„ุง
1984
+
1985
+ 497
1986
+ 00:44:43,700 --> 00:44:49,400
1987
+ ุจุนุดุฑุฉุŒ ุจูŠุตูŠุฑ rejectedุŒ ุฅุฐุง the larger the level of
1988
+
1989
+ 498
1990
+ 00:44:49,400 --> 00:44:54,600
1991
+ significance, the more likely you to rejectุงู„ู„ูŠ
1992
+
1993
+ 499
1994
+ 00:44:54,600 --> 00:44:57,660
1995
+ ุจุนุฏู‡ ุงู„ู€ level of significance is the maximum risk
1996
+
1997
+ 500
1998
+ 00:44:57,660 --> 00:45:01,760
1999
+ we are willing to accept in making type 1 error
2000
+
2001
+ 501
2002
+ 00:45:01,760 --> 00:45:06,480
2003
+ ูƒู„ุงู… ุตุญ ุงู„ level is the maximum risk ุฃูƒุชุฑ ุดูŠุก ู…ู…ูƒู†
2004
+
2005
+ 502
2006
+ 00:45:06,480 --> 00:45:11,760
2007
+ ุฃู‚ุน ููŠ ู…ุฎุงุทุฑุฉ ูŠุง ุจูŠุงุฎุฏ Alpha 5% or less ู‡ุงูŠ ู…ุนู†ุงู‡ุง
2008
+
2009
+ 503
2010
+ 00:45:11,760 --> 00:45:15,840
2011
+ ุฅุฐุง ุงู„ 20 the correct answer is B B ู…ุนู†ุงู‡ุง that is
2012
+
2013
+ 504
2014
+ 00:45:15,840 --> 00:45:21,080
2015
+ not true ุจุงู„ู†ุณุจุงู„ู†ุง ูˆ ุจูŠุญูƒูŠ ู…ูŠู† ู‡ูŠ ู…ุด ุตุญ ุฅุฐุง ุงู„ 20
2016
+
2017
+ 505
2018
+ 00:45:21,080 --> 00:45:27,560
2019
+ ู…ุธุจูˆุทุฉุงู„ู€ 21 ู‡ุงู„ุชู†ุชูŠู†
2020
+
2021
+ 506
2022
+ 00:45:27,560 --> 00:45:32,480
2023
+ ูˆู†ุฎู„ุต ุงู„ู€ 21 type 1 error is committed ูˆูŠู†ุŸ ุงู„
2024
+
2025
+ 507
2026
+ 00:45:32,480 --> 00:45:37,400
2027
+ type 1 error ูˆู‚ุช ุงูŠุด ุจูŠุญุฏุซุŸ ูˆูŠู†ุŸ ู‡ุงูŠ ุงู„ู„ูŠ ุฃู†ุง
2028
+
2029
+ 508
2030
+ 00:45:37,400 --> 00:45:41,180
2031
+ ูƒุชุจู„ูƒ ู‡ูŠ type 1 error ุงู„ type rejected through
2032
+
2033
+ 509
2034
+ 00:45:41,180 --> 00:45:48,960
2035
+ null you rejected through null ุงุฐุง ุงู„ 21 is C the
2036
+
2037
+ 510
2038
+ 00:45:48,960 --> 00:45:52,920
2039
+ correct answerุฃู†ุง ูƒุชุจ ุงู„ุชุนุฑูŠู type one it rejected
2040
+
2041
+ 511
2042
+ 00:45:52,920 --> 00:46:02,160
2043
+ true null hypothesis 22 ุงู„ู„ูŠ ุจุนุฏู‡ if a test of
2044
+
2045
+ 512
2046
+ 00:46:02,160 --> 00:46:06,500
2047
+ hypothesis has a type one error alpha one percent
2048
+
2049
+ 513
2050
+ 00:46:06,500 --> 00:46:11,980
2051
+ it means that ุฅุฐุง
2052
+
2053
+ 514
2054
+ 00:46:11,980 --> 00:46:19,570
2055
+ ุงู„ type one error ุนู†ุฏู‡ probability ู‡ูŠูƒูŠุนู†ูŠ ุงู„
2056
+
2057
+ 515
2058
+ 00:46:19,570 --> 00:46:30,570
2059
+ alpha ุณูˆู‘ุช ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ then if the null is false
2060
+
2061
+ 516
2062
+ 00:46:30,570 --> 00:46:36,770
2063
+ you reject it at one percent of the time ุฅูŠุด
2064
+
2065
+ 517
2066
+ 00:46:36,770 --> 00:46:41,610
2067
+ ุฑุฃูŠูƒู…ุŸ ุฅูŠุด ุงู„ correct answer ุงู„ู„ูŠ ูุงุชุชุŸ ุทู„ุน ุนู„ู‰
2068
+
2069
+ 518
2070
+ 00:46:41,610 --> 00:46:43,090
2071
+ ุงู„ุฃุณุฆู„ุฉ 22 correct answer
2072
+
2073
+ 519
2074
+ 00:46:45,750 --> 00:46:49,770
2075
+ C ุฅูŠุด ุจูŠุญูƒูŠ if the null is true you reject it at
2076
+
2077
+ 520
2078
+ 00:46:49,770 --> 00:46:53,670
2079
+ one person ู„ุญุธุฉ ุฅูŠุด ุญูƒูŠุช reject true-null
2080
+
2081
+ 521
2082
+ 00:46:53,670 --> 00:46:58,730
2083
+ hypothesis ู‡ุงู„ูŠ ุจุฑุงูˆูŠ ู„ุณู‡ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุฅุฐุง if the
2084
+
2085
+ 522
2086
+ 00:46:58,730 --> 00:47:01,770
2087
+ null is true you reject it at one person ุฅุฐุง ู‡ุฐุง
2088
+
2089
+ 523
2090
+ 00:47:01,770 --> 00:47:06,810
2091
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ู‡ุฐุง false ูƒู„ู…ุฉ false ุฅุฐุง correct
2092
+
2093
+ 524
2094
+ 00:47:06,810 --> 00:47:15,150
2095
+ answer is C ุฅุฐุง ู‡ุฐุง C C
2096
+
2097
+ 525
2098
+ 00:47:19,370 --> 00:47:35,910
2099
+ ุงู„ 23 ุณุคุงู„ 23 ุงูŠุด
2100
+
2101
+ 526
2102
+ 00:47:35,910 --> 00:47:41,530
2103
+ ุงู„ quiz 4 ุงู† ุดุงุก ุงู„ู„ู‡ .. ุงู† ุดุงุก ุงู„ู„ู‡ ุญูƒูŠุช ู‚ุจู„
2104
+
2105
+ 527
2106
+ 00:47:41,530 --> 00:47:45,150
2107
+ ู†ุชูŠุฌุฉ ุงู„ quiz ุชุจุน ูŠูˆู… ุงู„ุฃุฑุจุนุฉ ููŠ chapter 9 ู„ุบุงูŠุฉ
2108
+
2109
+ 528
2110
+ 00:47:45,150 --> 00:47:51,500
2111
+ ุงู„ proportionูŠุนู†ูŠ chapter ุชุณุนุฉ ุงู„ู…ูŠู† ุจุณ ุงู„ุณุคุงู„
2112
+
2113
+ 529
2114
+ 00:47:51,500 --> 00:48:00,640
2115
+ ุชู„ุงุชุฉ ูˆุนุดุฑูŠู† for
2116
+
2117
+ 530
2118
+ 00:48:00,640 --> 00:48:03,700
2119
+ a given level of significance if the sample size
2120
+
2121
+ 531
2122
+ 00:48:03,700 --> 00:48:10,480
2123
+ is increased is there any ุฒุงุฏุฉ in increased but
2124
+
2125
+ 532
2126
+ 00:48:10,480 --> 00:48:15,170
2127
+ the summary statistics remain the samethe
2128
+
2129
+ 533
2130
+ 00:48:15,170 --> 00:48:17,850
2131
+ probability of committing type 1 error will
2132
+
2133
+ 534
2134
+ 00:48:17,850 --> 00:48:22,770
2135
+ increase ุจูŠุญูƒูŠ
2136
+
2137
+ 535
2138
+ 00:48:22,770 --> 00:48:29,310
2139
+ ุฅุฐุง ุงู„ N ุฒุงุฏุชุŒ ูƒุจุฑุช ูˆุฎู„ู‚ุช ุงู„ุจุงู‚ู‰ ู„ู„ statistics ุฒูŠ
2140
+
2141
+ 536
2142
+ 00:48:29,310 --> 00:48:33,550
2143
+ ู…ุง ู‡ู…ุง ุงู„ probability of committing type 1 error
2144
+
2145
+ 537
2146
+ 00:48:33,550 --> 00:48:38,810
2147
+ will increase ูŠุนู†ูŠ
2148
+
2149
+ 538
2150
+ 00:48:38,810 --> 00:48:44,610
2151
+ ู†ู‚ู„ ุงู„ 0 ุนู†ุฏู…ุง ูŠูƒูˆู† ุตุญูŠุญุจุชุฒูŠุฏ ูˆ ู„ุง .. ู‡ูˆ ุจุญูƒูŠ ุจุฒูŠุฏ
2152
+
2153
+ 539
2154
+ 00:48:44,610 --> 00:48:49,530
2155
+ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ probability of committing type I
2156
+
2157
+ 540
2158
+ 00:48:49,530 --> 00:48:53,470
2159
+ overall increase ูŠุนู†ูŠ
2160
+
2161
+ 541
2162
+ 00:48:53,470 --> 00:48:58,190
2163
+ ุงุญุชู…ุงู„ ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุจ ู…ู† ุงู„ุฃูˆู„ ุจุฒูŠุฏ ู„ูˆ N ุฒุงุฏุช ู‡ูŠ
2164
+
2165
+ 542
2166
+ 00:48:58,190 --> 00:49:02,190
2167
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุนูƒุณูŠุฉ ุจุงู„ุชุงู„ูŠ false ุฅุฐุง ุชู„ุงุชุฉ ูˆ
2168
+
2169
+ 543
2170
+ 00:49:02,190 --> 00:49:13,030
2171
+ ุนุดุฑูŠู† false ุฅุฐุง ุชู„ุงุชุฉ ูˆ ุนุดุฑูŠู† B ุงู„ .. ุงู„ ..ู„ู…ุง ุงู„ู€
2172
+
2173
+ 544
2174
+ 00:49:13,030 --> 00:49:16,690
2175
+ N ุจูŠุฒูŠุฏ ุงู„ probability of type I error ุฏุงูŠู…ุงู‹
2176
+
2177
+ 545
2178
+ 00:49:16,690 --> 00:49:23,990
2179
+ ุชุชู‚ู„ู„ ุงู„ู‚ุงุนุฏุฉ ู…ุง ุจูŠู† ุงู„ู€ Alpha ูˆุฅุฐุง ุงู„ู€ N ุฒุงุฏุช
2180
+
2181
+ 546
2182
+ 00:49:23,990 --> 00:49:33,350
2183
+ ูุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุนูƒุณูŠ ุฅุฐุง ุงู„ู€ N ุฒุงุฏุช ุงู„ type I error
2184
+
2185
+ 547
2186
+ 00:49:33,350 --> 00:49:42,030
2187
+ ู…ุงู„ู‡ ุงู„ probability ุชุจุนุชู‡ ุจุชู‚ู„ ุทุจ ุงู„ุจุนุฏู‡ุงุนู„ู‰
2188
+
2189
+ 548
2190
+ 00:49:42,030 --> 00:49:44,030
2191
+ ู…ุฌู…ูˆุนุงุช ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2192
+
2193
+ 549
2194
+ 00:49:44,030 --> 00:49:44,530
2195
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2196
+
2197
+ 550
2198
+ 00:49:44,530 --> 00:49:48,010
2199
+ ู…ุฌุฑุฏ
2200
+
2201
+ 551
2202
+ 00:49:48,010 --> 00:49:50,190
2203
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2204
+
2205
+ 552
2206
+ 00:49:50,190 --> 00:49:50,470
2207
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2208
+
2209
+ 553
2210
+ 00:49:50,470 --> 00:49:55,170
2211
+ ู…ุฌุฑุฏ
2212
+
2213
+ 554
2214
+ 00:50:12,640 --> 00:50:16,440
2215
+ ุงุฎุชูŠ ู…ู† ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† for a given level of
2216
+
2217
+ 555
2218
+ 00:50:16,440 --> 00:50:19,060
2219
+ significance alpha if the sample size is increased
2220
+
2221
+ 556
2222
+ 00:50:19,060 --> 00:50:23,280
2223
+ ุญูƒูŠู†ุง
2224
+
2225
+ 557
2226
+ 00:50:23,280 --> 00:50:29,260
2227
+ ุนู„ูŠู‡ุง ู‚ุจู„ ู‡ูŠูƒ ุนูƒุณู‡ุง ู…ุธุจูˆุท will decrease ู‡ุฏูˆู„ ุงู„
2228
+
2229
+ 558
2230
+ 00:50:29,260 --> 00:50:31,920
2231
+ relationship between alpha ูˆ beta ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ู‚ุจู„
2232
+
2233
+ 559
2234
+ 00:50:31,920 --> 00:50:35,400
2235
+ ู‡ูŠูƒ ุฎู„ุงุต
2236
+
2237
+ 560
2238
+ 00:50:35,400 --> 00:50:38,400
2239
+ ู„ุณู‡ ุชุชุนุฑู ู†ูุณ ุงู„ููƒุฑุฉ
2240
+
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PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/gmoQk3BAmdM_raw.srt ADDED
@@ -0,0 +1,2252 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,650 --> 00:00:23,950
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ will give
4
+
5
+ 2
6
+ 00:00:23,950 --> 00:00:29,590
7
+ practice problems for chapter 9 some of these
8
+
9
+ 3
10
+ 00:00:29,590 --> 00:00:35,690
11
+ problems are short answers the others are multiple
12
+
13
+ 4
14
+ 00:00:35,690 --> 00:00:40,550
15
+ choice let's start with the first question short
16
+
17
+ 5
18
+ 00:00:40,550 --> 00:00:45,310
19
+ answer write the word or phrase that best
20
+
21
+ 6
22
+ 00:00:45,310 --> 00:00:48,390
23
+ completes each statement or answers the question
24
+
25
+ 7
26
+ 00:00:52,040 --> 00:00:57,560
27
+ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ู‡ูˆ
28
+
29
+ 8
30
+ 00:00:57,560 --> 00:01:03,920
31
+ ู…ุง ูŠุณู…ู‰ ู‚ูŠู…ุฉ ุชู‚ุฑุฑ ู…ุฌุชู…ุน ู…ู† ู…ุฌุชู…ุน ุบูŠุฑ ู…ุฌุชู…ุน ู‡ุฐุง
32
+
33
+ 9
34
+ 00:01:03,920 --> 00:01:09,500
35
+ ุงู„ู…ูู‡ูˆู… ุงู„ู„ูŠ ุฃุฎุฏู†ุง ู‡ูˆ ู‚ูŠู…ุฉ ูƒุฑูŠุชูƒุงู„ ู‡ู„ ุชุชุฐูƒุฑูŠู† ุฃู†ู†ุง
36
+
37
+ 10
38
+ 00:01:09,500 --> 00:01:14,160
39
+ ูƒู†ุง ู†ุญูƒูŠ ุนู† ู‚ูŠู…ุฉ
40
+
41
+ 11
42
+ 00:01:14,160 --> 00:01:15,380
43
+ ูƒุฑูŠุชูƒุงู„ุŸ
44
+
45
+ 12
46
+ 00:01:21,000 --> 00:01:26,080
47
+ ูˆู‡ุฐุง ุงู„ุชุงู†ูŠ critical value ู‡ุฐุง ุณู…ูŠู†ุงู‡ rejection
48
+
49
+ 13
50
+ 00:01:26,080 --> 00:01:32,000
51
+ region ูˆ ุงู„ right rejection ูˆ ุงู„ููŠ ุงู„ู†ุต non
52
+
53
+ 14
54
+ 00:01:32,000 --> 00:01:36,580
55
+ rejection ูู‡ูˆ
56
+
57
+ 15
58
+ 00:01:36,580 --> 00:01:40,980
59
+ ุจูŠุญูƒูŠ ุงู„ value ุงู„ separates ุงู„ู„ูŠ ุจุชูุตู„ rejection
60
+
61
+ 16
62
+ 00:01:40,980 --> 00:01:44,460
63
+ region from non rejection ุงู„ู„ูŠ ุจุชูุตู„ ุงู„ rejection
64
+
65
+ 17
66
+ 00:01:44,460 --> 00:01:47,440
67
+ ุนู† ุงู„ non rejection ุงู„ critical values ูุงู„ุฌูˆุงุจ
68
+
69
+ 18
70
+ 00:01:47,440 --> 00:01:52,190
71
+ ุนุจุงุฑุฉ ุนู† ุงู„ critical valuesุงู„ู€ Multiple choice
72
+
73
+ 19
74
+ 00:01:52,190 --> 00:01:58,370
75
+ ุจูŠุณุฃู„ ุชุฎุชุงุฑ ุฅุญุฏู‰ ุงู„ุฅุณุชุฎุฏุงู…ุงุช ุงู„ุชูŠ ุชูƒู…ู„ ุฃูุถู„ ู‚ุตุฉ ุฃูˆ
76
+
77
+ 20
78
+ 00:01:58,370 --> 00:02:02,390
79
+ ุฅุฌุงุจุฉ ุงู„ุณุคุงู„ ุฅุนุทุงุก
80
+
81
+ 21
82
+ 00:02:02,390 --> 00:02:04,950
83
+ true ุฃูˆ false ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
84
+
85
+ 22
86
+ 00:02:04,950 --> 00:02:04,950
87
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
88
+
89
+ 23
90
+ 00:02:04,950 --> 00:02:06,810
91
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
92
+
93
+ 24
94
+ 00:02:06,810 --> 00:02:07,450
95
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
96
+
97
+ 25
98
+ 00:02:07,450 --> 00:02:08,390
99
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
100
+
101
+ 26
102
+ 00:02:08,390 --> 00:02:08,410
103
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
104
+
105
+ 27
106
+ 00:02:08,410 --> 00:02:08,430
107
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ ู…ุฎุชู„ูุฉ
108
+
109
+ 28
110
+ 00:02:08,430 --> 00:02:11,750
111
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุชุงุฑ
112
+
113
+ 29
114
+ 00:02:11,750 --> 00:02:19,350
115
+ ู…ุฎุชู„ูุฉ
116
+
117
+ 30
118
+ 00:02:19,350 --> 00:02:20,570
119
+ ุงู„ุงุฎุชูŠุงุฑ ุชุฎุช
120
+
121
+ 31
122
+ 00:02:24,010 --> 00:02:29,270
123
+ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ู†ุงู„ูŠุฉ ูŠุฌุจ ุฃู† ุชุชู†ู‚ู„ ุฅุฐุง ูƒุงู†ุช ู…ุฑุญู„ุฉ
124
+
125
+ 32
126
+ 00:02:29,270 --> 00:02:42,390
127
+ ุงู„ูˆุถุน ู…ู‡ู…ุฉ 0.01 ุฅุนุทุงุก ุฃู„ูุฉ 1% ูˆ2 ุชู„ุชุณ ุงุณุชุฎุฏู…ุช ุจุญูƒูŠ
128
+
129
+ 33
130
+ 00:02:42,390 --> 00:02:45,450
131
+ ุงู„ู€ null ูŠุฌุจ ุฃู† ุชุชู†ู‚ู„ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ yes or no
132
+
133
+ 34
134
+ 00:02:48,880 --> 00:02:52,240
135
+ ุนู† ุทุฑูŠู‚ ุชุงู†ูŠ ู…ุง ุจุทู„ุน ุงู„ critical value ุงูˆ ุงู„ b
136
+
137
+ 35
138
+ 00:02:52,240 --> 00:02:56,000
139
+ value ูุฎู„ู†ุง ู†ุทู„ุน ุงู„ critical value ู‡ูˆ ุญูƒุงูŠุฉ ู„ู„ two
140
+
141
+ 36
142
+ 00:02:56,000 --> 00:03:01,080
143
+ -tailed ู…ุธุจูˆุท ุงู„ two-tailed ูŠุนู†ูŠ ูˆุงุญุฏ right ูˆุงุญุฏ
144
+
145
+ 37
146
+ 00:03:01,080 --> 00:03:05,440
147
+ left ุงู„ rejection regions ุงู„ alpha ุงูŠุด ุจุชุณุงูˆูŠ one
148
+
149
+ 38
150
+ 00:03:05,440 --> 00:03:12,360
151
+ percent ู…ุธุจูˆุท ู‡ู†ุง ุจูƒูˆู† alpha over two ูŠุนู†ูŠ point
152
+
153
+ 39
154
+ 00:03:12,360 --> 00:03:17,730
155
+ zero one ุนู„ู‰ ุงุชู†ูŠู† ุงูŠุด ุจุชุณุงูˆูŠzero zero five ู…ุธุจูˆุท
156
+
157
+ 40
158
+ 00:03:17,730 --> 00:03:20,810
159
+ ูˆุนุงู„ุฃุฎุจุท point zero one ุนู„ู‰ ุงุชู†ูŠู† point zero zero
160
+
161
+ 41
162
+ 00:03:20,810 --> 00:03:27,030
163
+ five ูˆ ุงู„ area ุงู„ุชุงู†ูŠุฉ ู†ูุณู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุจุฑุถู‡ zero
164
+
165
+ 42
166
+ 00:03:27,030 --> 00:03:29,810
167
+ zero five ูุทู„ุน two areas ูˆุงุญุฏุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู„
168
+
169
+ 43
170
+ 00:03:29,810 --> 00:03:33,690
171
+ critical value ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆ ุงู„ุดู…ุงู„ ู„ู…ุง ูƒู†ุช ููŠู‡
172
+
173
+ 44
174
+ 00:03:33,690 --> 00:03:40,330
175
+ ุชู†ุชูŠู† ู‡ุฐุง ุฃูƒุจุฑ ู…ู†ู‡ุง ุจุฎู…ุณุฉ ู…ู† ุงู„ู ูˆู‡ุฐุง ุฃู‚ู„ ู…ู†ู‡ุง
176
+
177
+ 45
178
+ 00:03:40,330 --> 00:03:46,920
179
+ ุจุฎู…ุณุฉ ู…ู† ุงู„ู ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ุฅุฌุงุจุฉุฃู†ุชู‰
180
+
181
+ 46
182
+ 00:03:46,920 --> 00:03:52,180
183
+ ุงู„ู„ู‰ ุฑุงูŠุญูƒ ู„ูˆ ุฎุฏุช ุงู„ุดู…ุงู„ ุนู„ู‰ ุทูˆู„ ุฌุงู‡ุฒุฉ ู…ุธุจูˆุท ุงูˆ
184
+
185
+ 47
186
+ 00:03:52,180 --> 00:03:55,520
187
+ ู…ู…ูƒู† ุงุฎุฏ ุงู„ูŠู…ูŠู† ุจุณ ุงู„ูŠู…ูŠู† ุนุดุงู† ู‡ูŠูƒูˆู† ุน ุดู…ุงู„ู‡ุง ุฌุฏุงุด
188
+
189
+ 48
190
+ 00:03:55,520 --> 00:04:01,160
191
+ ุงู‡ ุงู„ู„ู‰ ุจูŠุณูŠุจ point nine nine five ูู„ุงู† ู‡ุทู„ุนู„ูƒ ุนู„ู‰
192
+
193
+ 49
194
+ 00:04:01,160 --> 00:04:05,860
195
+ ุงู„ุญู„ ุจุงู„ุทุฑูŠู‚ ุชุงู†ู‰ ููŠ ุงู„ุฃูˆู„ ุงู„ Z table ู‡ุฐุง ุงู„
196
+
197
+ 50
198
+ 00:04:05,860 --> 00:04:10,500
199
+ negative ู…ุธุจูˆุท ุทู„ุน ุงู„ negative ุจุฏูˆุฑ ุนู„ู‰ ู…ูŠู† ุนู„ู‰
200
+
201
+ 51
202
+ 00:04:10,500 --> 00:04:14,720
203
+ point zero zero five ุงู„ zero zero five one ู…ูˆุฌูˆุฏุฉ
204
+
205
+ 52
206
+ 00:04:14,720 --> 00:04:20,290
207
+ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงูƒุชุฑู‡ุง ู‡ู… ู„ุญุธุฉ ููŠ ุนู†ุฏูŠ
208
+
209
+ 53
210
+ 00:04:20,290 --> 00:04:27,910
211
+ ุชู„ุช ู‚ูŠู… 005 ู…ุธุจูˆุท ุชู„ุช ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุชู„ุช ู‚ูŠู… ู‡ูŠ ู…ู† ุชุญุช
212
+
213
+ 54
214
+ 00:04:27,910 --> 00:04:32,430
215
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุช ุฒูŠ ุจุนุถ ูุงู„ุฌูˆุงุจ ุฎุฏ ุฃูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุฎุฏ
216
+
217
+ 55
218
+ 00:04:32,430 --> 00:04:39,550
219
+ ุฃูˆู„ ูˆุงุญุฏุฉ ูุจุชุทู„ุน negative three point three ุงูŠุด
220
+
221
+ 56
222
+ 00:04:39,550 --> 00:04:46,550
223
+ ุงู„ุชุงู†ูŠ ู‡ุชูƒูˆู† ุงู„ุชุงู†ูŠ ุงูŠุด ู‡ุชูƒูˆู† ุฒูŠู‡ุง ู…ุด ู‡ูŠูƒุฒูŠ ุงู„ู€
224
+
225
+ 57
226
+ 00:04:46,550 --> 00:04:50,850
227
+ negative 3.3 ุงุชู†ู‰ ุฒูŠู‡ุง ุงูˆ ู„ูˆ ู…ุงุญุจุชูŠุด ุฒูŠู‡ุง ุทุงู„ุน ุนู„ู‰
228
+
229
+ 58
230
+ 00:04:50,850 --> 00:04:55,330
231
+ point 995 ู„ุญุธุฉ
232
+
233
+ 59
234
+ 00:04:55,330 --> 00:05:00,590
235
+ 995 ุจุฑุถู‡ ุชู„ุช ูˆุงุญุฏุฉ ุฒูŠู‡ู… ุจุงู„ุธุจุท ู…ุธุจูˆุท ูุงู„ุฌูˆุงุจ ู‡ูˆ
236
+
237
+ 60
238
+ 00:05:00,590 --> 00:05:07,710
239
+ ู†ูุณู‡ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง 3.3 ุงู„ุขู† is the value of this
240
+
241
+ 61
242
+ 00:05:07,710 --> 00:05:12,530
243
+ statistic this one fall in the rejection region ุงู„
244
+
245
+ 62
246
+ 00:05:12,530 --> 00:05:17,590
247
+ rejection ุงู…ุง ุชูƒูˆู† greater than 3.3ุฃูˆ less than
248
+
249
+ 63
250
+ 00:05:17,590 --> 00:05:23,450
251
+ negative 3.3 now just ask yourself is a value of 2
252
+
253
+ 64
254
+ 00:05:23,450 --> 00:05:28,570
255
+ .4 fall in this rejection region or not ูˆุงุถุญ ู„ุฃ
256
+
257
+ 65
258
+ 00:05:28,570 --> 00:05:35,130
259
+ ูˆุงุถุญ ุญุฏ ููŠ ุงู„ non rejection region ุงุฐุง ู†ุญู† ู„ุง
260
+
261
+ 66
262
+ 00:05:35,130 --> 00:05:38,890
263
+ ู†ุชูุฑุฌ ุนู„ู‰ ุงู„ hypothesis ู…ุธุจูˆุท ู†ุญู† ู„ุง ู†ุชูุฑุฌ ู‡ูˆ ุงูŠุด
264
+
265
+ 67
266
+ 00:05:38,890 --> 00:05:44,210
267
+ ุญูƒู‰ ููŠ ุงู„ .. ุญูƒู‰ reject ูˆู…ุน ูƒุฏู‡ ู‚ุฑุงุฑู‡ ู…ุง ู„ู‡ ู‚ุฑุงุฑู‡
268
+
269
+ 68
270
+ 00:05:44,210 --> 00:05:51,780
271
+ ู…ุด ุตุญูŠุฅุฐุง ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู„ุณุคุงู„ ุงู„ุฃูˆู„ ุฅุฐุง
272
+
273
+ 69
274
+ 00:05:51,780 --> 00:05:55,240
275
+ ุงู„ true answer is false ู‡ูˆ ู„ุฃู†ู‡ ุญูƒู‰ Donald should
276
+
277
+ 70
278
+ 00:05:55,240 --> 00:06:00,400
279
+ be rejected ู„ุฃ ู…ุด rejected ุฎู„ุงุต ุฅุฐุง ุงู„ part ุณุคุงู„
280
+
281
+ 71
282
+ 00:06:00,400 --> 00:06:09,480
283
+ ุงุชู†ูŠู† ุฌูˆุงุจู‡ ุจูŠู‡ ู†ุดูˆู ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ
284
+
285
+ 72
286
+ 00:06:09,480 --> 00:06:10,320
287
+ ุจุนุฏู‡ ุจุญูƒูŠ ุงู„ู‚ุงุชู„
288
+
289
+ 73
290
+ 00:06:20,900 --> 00:06:25,080
291
+ and appliance manufacturer claims to have
292
+
293
+ 74
294
+ 00:06:25,080 --> 00:06:30,420
295
+ developed compact microwave oven that consumes a
296
+
297
+ 75
298
+ 00:06:30,420 --> 00:06:34,600
299
+ mean of no more than two hundred and fifty watt no
300
+
301
+ 76
302
+ 00:06:34,600 --> 00:06:40,400
303
+ more than ูŠุนู†ูŠ
304
+
305
+ 77
306
+ 00:06:40,400 --> 00:06:47,040
307
+ ู…ุด ุงูƒุชุฑ ู…ู† ูŠุนู†ูŠ ุงูŠุด ุงู‚ู„ ุงูˆ ูŠุณุงูˆูŠ ู…ุธุจูˆุท ู…ุง ู‡ูŠ ู…ุนู†ู‰
308
+
309
+ 78
310
+ 00:06:47,040 --> 00:06:49,040
311
+ ู†ูƒุชุจ ู‡ูŠูƒ no more
312
+
313
+ 79
314
+ 00:06:53,690 --> 00:06:57,970
315
+ 250 ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
316
+
317
+ 80
318
+ 00:06:57,970 --> 00:06:57,970
319
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
320
+
321
+ 81
322
+ 00:06:57,970 --> 00:06:57,970
323
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
324
+
325
+ 82
326
+ 00:06:57,970 --> 00:07:02,750
327
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
328
+
329
+ 83
330
+ 00:07:02,750 --> 00:07:04,250
331
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
332
+
333
+ 84
334
+ 00:07:04,250 --> 00:07:06,990
335
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
336
+
337
+ 85
338
+ 00:07:06,990 --> 00:07:19,110
339
+ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚ ุฏู‚ุงุฆู‚
340
+
341
+ 86
342
+ 00:07:19,110 --> 00:07:22,890
343
+ ุฏู‚
344
+
345
+ 87
346
+ 00:07:25,060 --> 00:07:28,920
347
+ ุทูŠุจ ู†ูƒู…ู„ them take a sample of twenty microwave
348
+
349
+ 88
350
+ 00:07:28,920 --> 00:07:38,260
351
+ ุฃุฎุฏ twenty microwave ู„ุญุธุฉ from previous studies ุงู„
352
+
353
+ 89
354
+ 00:07:38,260 --> 00:07:43,480
355
+ population of patients fifteen ูŠุนู†ูŠ head is given
356
+
357
+ 90
358
+ 00:07:43,480 --> 00:07:47,760
359
+ is known ุฏู‡ ุฑูƒุฒ ู„ุฅู† ููŠ ุนู†ุฏูŠ two scenarios sigma
360
+
361
+ 91
362
+ 00:07:47,760 --> 00:07:54,120
363
+ known or unknown ูƒูˆูŠุณ they takeุณุงู…ุจู„ ู…ู† 20
364
+
365
+ 92
366
+ 00:07:54,120 --> 00:08:00,740
367
+ ู…ูŠูƒุฑูˆููŠุฑ ูŠูุชุญ ูˆูŠุฌุฏ ุฃู†ู‡ู… ูŠุณุชุฎุฏู…ูˆู† ู…ูŠุงู† ู…ู† ู‡ุฐุง ุงู„ู€
368
+
369
+ 93
370
+ 00:08:00,740 --> 00:08:04,960
371
+ 257
372
+
373
+ 94
374
+ 00:08:04,960 --> 00:08:09,420
375
+ .3 ูˆุงุช ู‡ุฐุง ุญุชู‰ ู„ุฃู† ุฃู†ุง ู…ุด ุนุงุฑู ุงุด ุจุฏูŠ ุงุนู…ู„ ุงูŠุด
376
+
377
+ 95
378
+ 00:08:09,420 --> 00:08:17,780
379
+ ุงู„ู…ุทู„ูˆุจ ู…ุด ูˆุงุถุญ ุณุคุงู„ ุชู„ุงุชุฉ ูŠุญูƒูŠ ุนู† ุณูŠู†ุงุฑูŠูˆ 93 ู…ูŠู†
380
+
381
+ 96
382
+ 00:08:17,780 --> 00:08:20,700
383
+ ู‡ูˆ population of interest ู…ูŠู† ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ุฃู†ุง
384
+
385
+ 97
386
+ 00:08:20,700 --> 00:08:27,340
387
+ ู…ู‡ุชู… ุฅูŠู‡ู†ุดูˆู ุงู„ .. ูˆุงุญุฏุฉ ุชู‚ุฑุฃ ุงู„ู„ูŠ ู‡ุฏูˆู„ ุงู„ู„ูŠ
388
+
389
+ 98
390
+ 00:08:27,340 --> 00:08:32,420
391
+ ุจุชุฑูƒุฒูŠ ู…ุนุงู‡ ู…ูŠู† ุงู„ population of interestุŸ ุญุฏ
392
+
393
+ 99
394
+ 00:08:32,420 --> 00:08:40,500
395
+ ูŠู‚ุฑุฃุŸ ุญุฏ ูŠู‚ุฑุฃ ุงู„ .. ุงู„ุณุคุงู„ ุงู„ุชู„ุงุชุฉ ูู…ูŠู† power
396
+
397
+ 100
398
+ 00:08:40,500 --> 00:08:43,540
399
+ consumptionุŸ ุงู„ power consumption ู…ุฌุฑูˆุจ ุฃูˆ ู…ูŠู†ุŸ
400
+
401
+ 101
402
+ 00:08:43,540 --> 00:08:46,340
403
+ ูpower consumption in the country ู…ุฌุฑูˆุจ ุฃูˆ ู…ูŠู†ุŸ
404
+
405
+ 102
406
+ 00:08:46,340 --> 00:08:48,820
407
+ ูู…ูŠู† power consumption in the country ู…ุฌุฑูˆุจ ุฃูˆ
408
+
409
+ 103
410
+ 00:08:48,820 --> 00:08:53,400
411
+ ู…ูŠู†ุŸ ูpower consumptionูˆุจุชูƒู„ู… ุนู† ุงู„ population ูƒู„ู‡
412
+
413
+ 104
414
+ 00:08:53,400 --> 00:08:56,940
415
+ ุทุจ ุงู„ population ู…ูŠู† ู‡ูŠูƒูˆู†ุŸ ููŠ ุฅุฌุงุจุงุช we have to
416
+
417
+ 105
418
+ 00:08:56,940 --> 00:09:03,820
419
+ ignore it ู„ุงุฒู… ุชุฌู‡ู„ู‡ุง ุฃูŠ ุญุงุฌุฉ ุจุชุญูƒูŠ ุนู† ู…ูŠู† ู…ุด ุตุญ
420
+
421
+ 106
422
+ 00:09:03,820 --> 00:09:06,760
423
+ ูˆุจุชูƒู„ู…ุด ุนู† ู…ูŠู†ุŒ ุจุชูƒู„ู… ุนู† ุงู„ population ูˆุจุงู„ุชุงู„ูŠ
424
+
425
+ 107
426
+ 00:09:06,760 --> 00:09:11,540
427
+ ู‡ูŠูƒ ุฃู†ุง ุทู„ุนุชุด ุญุฏุงูุฉ ุฅุฌุงุจุชูŠู† ุจุชุนุฑู ุชุณูƒุฑ ุงู„ู…ู† ุณุฑุจุญ
428
+
429
+ 108
430
+ 00:09:11,540 --> 00:09:17,060
431
+ ุงู„ู…ู„ูŠูˆู† ููŠ ุนู†ุฏ ุฃุฑุจุน ุฅุฌุงุจุงุช ุงุณุชุนุงู†ู‰ ู…ุน ุตุฏูŠู‚ ูˆุงุญุฏ ููŠ
432
+
433
+ 109
434
+ 00:09:17,060 --> 00:09:20,660
435
+ ุฅุฌุงุจุชูŠู† ูˆ ู‡ูŠูƒูƒุฏู‡ ุงู„ู„ูŠ ุญุฏูุช ุฌุจุชูŠู† ุตุงุฑ ุนู†ุฏู‰ ุงุฎุชูŠุงุฑ
436
+
437
+ 110
438
+ 00:09:20,660 --> 00:09:24,520
439
+ ูˆูŠู† ุจุณ ููŠ ุงูŠู‡ ุฌุจุชูŠู† ูŠุนู†ูŠ ุจุชุฑูƒุฒ ููŠ ุชู†ุชูŠู† ุจุณ ู„ูŠุด
440
+
441
+ 111
442
+ 00:09:24,520 --> 00:09:27,040
443
+ ุดูŠู„ุช ุงู„ู…ูŠู†ุŸ ุฃู†ุง ุจุชูƒู„ู… ุนู† population of interest
444
+
445
+ 112
446
+ 00:09:27,040 --> 00:09:31,180
447
+ ู…ุงุชูƒู„ู…ุด ุนู† ุงู„ parameter ูุจุงู„ุชุงู„ูŠ ุจุชุทู„ุน ู†ู…ุณูƒ ุงู„ุงุชู†
448
+
449
+ 113
450
+ 00:09:31,180 --> 00:09:34,240
451
+ ุจูŠ ูˆ ุฏูŠ the power consumption in the twenty
452
+
453
+ 114
454
+ 00:09:34,240 --> 00:09:35,520
455
+ microwave oven
456
+
457
+ 115
458
+ 00:09:38,070 --> 00:09:42,170
459
+ ุญุฏุฏ .. ุญุฏุฏ ุนู„ู‰ ุนุดุฑูŠู† ูˆ ุงู„ุนุดุฑูŠู† sample ุฒูŠ ู…ุด ู‡ูŠ ุฅุฐุง
460
+
461
+ 116
462
+ 00:09:42,170 --> 00:09:45,150
463
+ ุตุฑุช ูˆุงู†ุง ู…ุบู…ุถ ุงู„ job ุฏูŠ ู…ู† ุบูŠุฑ ู…ู‚ุฑุฃู‡ ุฅุฐุง ูƒุงู† ุทุจุนุง
464
+
465
+ 117
466
+ 00:09:45,150 --> 00:09:49,050
467
+ .. ุฅุฐุง ูƒุงู† ู…ุงููŠุด ุบูŠุฑู‡ ุงู„ power consumption in all
468
+
469
+ 118
470
+ 00:09:49,050 --> 00:09:54,210
471
+ ู„ุญุธุฉ ูƒู„ู…ุฉ all such microwave ovens ุฅุฐุง ุฏูŠ ูˆุงุถุญ ูƒูŠู
472
+
473
+ 119
474
+ 00:09:54,210 --> 00:09:59,070
475
+ ูˆุงุญุฏ ุจููƒุฑ ุจุญู„ ุงู„ุณุคุงู„ ูŠุญุฏุซ ุงู„ุฅุฌุงุจุงุช ุงู„ู„ูŠ ู…ุด ู…ู†ุงุณุจุฉ
476
+
477
+ 120
478
+ 00:09:59,070 --> 00:10:02,450
479
+ ูˆ ุจุนุฏูŠู† ุจุชูƒู…ู„ ูˆุงุถุญ ุฅุฐุง correct answer is ุฏูŠ
480
+
481
+ 121
482
+ 00:10:05,640 --> 00:10:08,800
483
+ ุฎู„ุงุต ุทุจุนุง ุงู„ุฅุฌุงุจุงุช ุนู†ุฏูƒ ู…ูˆุฌูˆุฏุฉ ููŠ ู†ู‡ุงูŠุฉ ุงู„ุณุคุงู„
484
+
485
+ 122
486
+ 00:10:08,800 --> 00:10:16,260
487
+ ู„ุฐุงู„ูƒ ุงู„ู€ three correct answer is ุฏูŠ let's
488
+
489
+ 123
490
+ 00:10:16,260 --> 00:10:23,060
491
+ move to number four ุฑู‚ู… ุฑุจุน ุฑูุนุช ููŠ ุณู†ุฉ number
492
+
493
+ 124
494
+ 00:10:23,060 --> 00:10:29,360
495
+ three the parameter of interest the
496
+
497
+ 125
498
+ 00:10:29,360 --> 00:10:34,440
499
+ parameter of interest ุจุญูƒูŠ ุนู† ุงู„ parameterุทุจุนุง ููŠ
500
+
501
+ 126
502
+ 00:10:34,440 --> 00:10:37,400
503
+ ุนู†ุฏูŠ the main power consumption of all such
504
+
505
+ 127
506
+ 00:10:37,400 --> 00:10:40,820
507
+ microwave ovens ู„ู…ุง ุฃุชูƒู„ู… ุนู† ุงู„ุจุฑุงู…ูŠุทุฑ ุจุญูƒูŠ ุนู„ู‰
508
+
509
+ 128
510
+ 00:10:40,820 --> 00:10:45,220
511
+ ุดุบู„ุฉ computed from the population ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃูŠ ุญุฏ
512
+
513
+ 129
514
+ 00:10:45,220 --> 00:10:48,120
515
+ ููŠู‡ุง population ู‡ูŠ ุงู„ู„ูŠ ุฃู†ุง ุนุงูŠุฒู‡ุง ู…ูŠู† ููŠ .. ู…ูŠู†
516
+
517
+ 130
518
+ 00:10:48,120 --> 00:10:53,780
519
+ ููŠ ุญุฏ ุจุชุฏู„ุน ุงู„ populationุŸ allุŒ ู‡ูŠ ู‡ุฐู‡ ู…ุธุจูˆุท ูˆููŠู‡ุง
520
+
521
+ 131
522
+ 00:10:53,780 --> 00:10:58,100
523
+ ูƒู„ู…ุฉ ุฅูŠุดุŸ ู…ูŠู†ุŒ ุงู„ุชู†ุงุฏุฑ ู…ุน ุจุนุถ ู…ุงูŠู†ูุนุด ุฃูƒูˆู† ููŠ ุนู†ุฏ
524
+
525
+ 132
526
+ 00:10:58,100 --> 00:11:00,870
527
+ ุงู„ all ู†ุบูŠุฑ ุงู„ mean ู„ู…ุง ุฃุชูƒู„ู… ุนู† ุงู„ุจุฑุงู…ูŠุทุฑูู„ู…ุง
528
+
529
+ 133
530
+ 00:11:00,870 --> 00:11:04,530
531
+ ูŠูƒูˆู† ููŠู‡ ุจุฑุงู…ุฌุฉ ุจุชูƒูˆู† ุนู†ุฏ ู…ูŠู† ู…ูŠู† ุฃูˆ proportion ู„ูˆ
532
+
533
+ 134
534
+ 00:11:04,530 --> 00:11:07,070
535
+ ู…ุซู„ุฉ proportion ุจุณ ุงู„ู…ุซู„ุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจุชุชูƒู„ู… ุนู† ุงู„
536
+
537
+ 135
538
+ 00:11:07,070 --> 00:11:09,650
539
+ mean ูุจุงู„ุชุงู„ูŠ ุงู„ A is the correct answer ู…ู† ุบูŠุฑ
540
+
541
+ 136
542
+ 00:11:09,650 --> 00:11:13,090
543
+ ู…ู‚ุฑุฃ ูˆุถูŠุน ูˆู‚ุช ู„ุฃู† ู‡ุฐุง ุงู„ mean power consumption of
544
+
545
+ 137
546
+ 00:11:13,090 --> 00:11:19,130
547
+ the 20 ุงู„ 20 ู„ู„ sample X bar ุฎู„ุงุต ู„ูˆ ุญูƒูŠู„ูŠ the
548
+
549
+ 138
550
+ 00:11:19,130 --> 00:11:24,050
551
+ statistic of interest is ุจู‚ูˆู„ู‡ ู‡ุฐุงุจุณ ู…ุด ู‡ุง ู‡ูˆ
552
+
553
+ 139
554
+ 00:11:24,050 --> 00:11:27,450
555
+ ุจูŠุญูƒูŠ ุนู† ุงู„ population ุงูˆ ุงู„ parameter ุจุงู„ุจุณ ู„ุฐุง
556
+
557
+ 140
558
+ 00:11:27,450 --> 00:11:38,670
559
+ correct answer four ุจูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ุงูŠู‡ ุฎู„ุงุต number
560
+
561
+ 141
562
+ 00:11:38,670 --> 00:11:39,190
563
+ five
564
+
565
+ 142
566
+ 00:11:44,770 --> 00:11:48,470
567
+ referring to the same scenario for a test for a
568
+
569
+ 143
570
+ 00:11:48,470 --> 00:11:50,950
571
+ test with a level of significance alpha ุฅูŠุด ู„ูŠู‡
572
+
573
+ 144
574
+ 00:11:50,950 --> 00:11:53,910
575
+ critical valueุŸ ู†ุฑูƒุฒ ุงู„ุขู† ุจุณ ุนุงุฑู ุงู„ critical
576
+
577
+ 145
578
+ 00:11:53,910 --> 00:11:56,210
579
+ value ุฅุฐุง ู…ุง ุนุฑูุช ู‡ูŠ ู„ูŠู‡ one sided ูˆู„ุง two sided
580
+
581
+ 146
582
+ 00:11:56,210 --> 00:12:03,550
583
+ ุงู„ claim ูƒุงู† ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุงู„ claim ุฅุฐุง ุจุชุฐูƒุฑ ุญูƒู‰
584
+
585
+ 147
586
+ 00:12:03,550 --> 00:12:11,670
587
+ no more than no more ู…ุนู†ู‰ no more ูŠุนู†ูŠ ุฅูŠุดุŸ ู…ุงุฆุชูŠู†
588
+
589
+ 148
590
+ 00:12:11,670 --> 00:12:18,250
591
+ ูˆุฎู…ุณูŠู†ู‡ู„ ู‡ุฐุง ุงู„ู€ H1 ุฃูˆ ุงู„ู€ H0ุŸ ู†ุญู† ู†ุนุฑู ุดูŠุกุŒ ุฅู†
592
+
593
+ 149
594
+ 00:12:18,250 --> 00:12:23,290
595
+ ุงู„ู€ null hypothesis contains equal signุŒ ู…ุธุจูˆุทุŸ
596
+
597
+ 150
598
+ 00:12:23,290 --> 00:12:26,990
599
+ ุงู„ู€ H0 ูŠุดุชู…ู„ ุนู„ู‰ ุงู„ู€ equal signุŒ ุฅุฐุง ูƒุงู† ู‡ุฐุง ุงู„ู€
600
+
601
+ 151
602
+ 00:12:26,990 --> 00:12:34,150
603
+ H0ุŸ ู‡ุฐุง ุงู„ู€ H0ุŒ ุงู„ู€ Mu ุฃู‚ู„ ู…ู† 250 ุฃูˆ ุชุณุงูˆูŠุŒ ุงู„ู€
604
+
605
+ 152
606
+ 00:12:34,150 --> 00:12:37,750
607
+ H1ุŒ ุงู„ู€ Mu ู…ุงู„ู‡ุง ุฃูƒุจุฑุŒ ุฃูƒุจุฑุŒ ุฎู„ุงุตุŒ ููƒุฏุง ุฃู†ุง ุนุฑูุช
608
+
609
+ 153
610
+ 00:12:37,750 --> 00:12:40,710
611
+ ุฅูŠุด ุดุบู„ุชุŒ ุฒูŠ 1 ุชู„ุช
612
+
613
+ 154
614
+ 00:12:42,060 --> 00:12:47,100
615
+ one tilt ูˆ upper ูˆู„ุง left upper ู…ุด ู‡ูŠูƒ ูˆ alpha
616
+
617
+ 155
618
+ 00:12:47,100 --> 00:12:53,260
619
+ ูƒุฏู‡ุด ุญุงุฌุฉ ุจุชุณุงูˆูŠ alpha five percent ู„ุฅู†ู‡ ุญูƒู‰ ู„ูŠ ููŠ
620
+
621
+ 156
622
+ 00:12:53,260 --> 00:13:00,160
623
+ ุฃุฑุฌุน ุชุงู†ูŠ ู„ five ุญูƒู‰ alpha is five percent ุฃูƒูŠุฏ
624
+
625
+ 157
626
+ 00:13:00,160 --> 00:13:03,780
627
+ ุฃู†ุง ุญุงูุธู‡ุง ุฃูˆ ุจุทู„ุนู‡ุง ู…ู† ุงู„ table one point six
628
+
629
+ 158
630
+ 00:13:03,780 --> 00:13:06,620
631
+ four five ุฅุฐุง ุฌูˆุงุจ one point six four five ุฅุฐุง
632
+
633
+ 159
634
+ 00:13:06,620 --> 00:13:09,300
635
+ five ุฌูˆุงุจ one point six four five
636
+
637
+ 160
638
+ 00:13:12,080 --> 00:13:18,260
639
+ ุฅุฐุง ู‡ุงุฏ one point six four one five ุงู„ุงู† ููŠ ุงู„ุณุชุฉ
640
+
641
+ 161
642
+ 00:13:18,260 --> 00:13:21,520
643
+ the value of that statistic ู…ุงุดูŠ ู…ุนุงูƒ ูˆ ุจู‚ู‰ ุนุดุงู†
644
+
645
+ 162
646
+ 00:13:21,520 --> 00:13:26,480
647
+ step by step ุนุฑููƒ ุงู„ population ุงุชุนุฑู ู…ู†ูƒ ุนู„ู‰ ุงู„
648
+
649
+ 163
650
+ 00:13:26,480 --> 00:13:30,340
651
+ parameter ุงุชุฃูƒุฏ ุงู†ูƒ ุชูƒุชุจ ุงู„ null ูˆ ุงู„ alternative
652
+
653
+ 164
654
+ 00:13:30,340 --> 00:13:35,040
655
+ ุตุญ ูƒุชุจุช ุงู„ critical value ุตุญ ุฃูˆ ุทู„ุนุชู‡ุง ููŠ ุฎู…ุณุฉ ุงูˆ
656
+
657
+ 165
658
+ 00:13:35,040 --> 00:13:40,900
659
+ ููŠ ุณุชุฉ ุจุญูƒูŠ ุนุดุงู† ุงูŠุด ุงู„ test ุงู„ statistic ููŠ ุณุชุฉ
660
+
661
+ 166
662
+ 00:13:44,920 --> 00:13:48,900
663
+ ุฎู„ู‘ูŠ ุจุงู„ูƒ ูŠุนู†ูŠ ุฃู†ุง ุงู„ุงู† ู…ู…ูƒู† ุงู„ู…ุซู„ุฉ ู‡ุฐู‡ ุฃู…ูŠุฒ ุฃุญู„ Z
664
+
665
+ 167
666
+ 00:13:48,900 --> 00:13:53,420
667
+ ูˆ ู„ุง T ู…ู‡ู… ุทุงู„ู…ุง ุงู„ sigma is given automatic ุนู„ู‰ Z
668
+
669
+ 168
670
+ 00:13:53,420 --> 00:13:57,960
671
+ ุฅุฐุง ุงู„ุณุคุงู„ ุชุจุน Z ูˆ ู„ุญุธุฉ ุงู„ู„ูŠ ู‡ูŠ ุญุชู‰ ุงุณุชุฎุฏู…ุช Z
672
+
673
+ 169
674
+ 00:13:57,960 --> 00:14:03,000
675
+ critical ุนู„ู‰ ุทูˆู„ุŒ ู…ุธู‡ุฑุŸู„ุฃู† Z is given ู‡ูˆ ู…ุนุฑูˆู
676
+
677
+ 170
678
+ 00:14:03,000 --> 00:14:06,140
679
+ ูุจุงู„ุชุงู„ูŠ ูŠุฌุจ ุฃู† ู†ุณุชุฎุฏู… Z statistics ุญุชู‰ ุฅุฐุง ูƒุงู†ุช
680
+
681
+ 171
682
+ 00:14:06,140 --> 00:14:13,840
683
+ ุงู„ู…ุฌู…ูˆุนุฉ ุตุบูŠุฑุฉุŒ ูุฅุฐุง ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ ุตุบูŠุฑุฉ ูุจุฅู…ูƒุงู†ู†ุง
684
+
685
+ 172
686
+ 00:14:13,840 --> 00:14:19,540
687
+ ุงุณุชุฎุฏุงู… Z
688
+
689
+ 173
690
+ 00:14:19,540 --> 00:14:24,000
691
+ statistics Z statistics ู‡ูˆ X bar minus Mu Sigma
692
+
693
+ 174
694
+ 00:14:24,000 --> 00:14:25,560
695
+ over square root of N
696
+
697
+ 175
698
+ 00:14:28,910 --> 00:14:35,550
699
+ ุจุณ x bar is given 257.3
700
+
701
+ 176
702
+ 00:14:35,550 --> 00:14:45,010
703
+ -250 sigma is 15 over square root of 20 now just
704
+
705
+ 177
706
+ 00:14:45,010 --> 00:14:48,590
707
+ compute this value you will end with the value of
708
+
709
+ 178
710
+ 00:14:48,590 --> 00:14:53,890
711
+ this statistic ุงู†ุง ุจุงุชู†ุณุญูƒ ุฏุงูŠู…ุง ุงุญุณุจ ุงู„ู…ู‚ุงู… ู„ุญุงู„ู‡
712
+
713
+ 179
714
+ 00:14:53,890 --> 00:14:58,210
715
+ ุงุญุณุจ ุงู„ุจุงุต ุฌุณู… 2 ุนู„ู‰ ุจุนุถ ู„ูŠุด ู„ุงู† ุงู†ุง ู„ูˆ ุบู„ุทุช ู‡ู†ุง
716
+
717
+ 180
718
+ 00:14:59,440 --> 00:15:02,280
719
+ ุจูŠุชุจุนูˆุง ุฃุฎุทุงุก ุฃุฎุฑู‰ ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ multiple choice
720
+
721
+ 181
722
+ 00:15:02,280 --> 00:15:07,540
723
+ ูุงู„ุชุงู„ุฉ ุฅู†ุช ู„ูˆ ุญุณุจุชู‡ุง ุงู„ุฌูˆุงุจ ููŠ ุงู„ answers ุงู„ู„ูŠ
724
+
725
+ 182
726
+ 00:15:07,540 --> 00:15:15,220
727
+ ุนู†ุฏู†ุง ููŠ ุงู„ุณุคุงู„ 6 two point ุฃูˆ 18 ุชู‚ุฑูŠุจุง ุฅุฐุง ู‡ุฐุง
728
+
729
+ 183
730
+ 00:15:15,220 --> 00:15:22,160
731
+ ุงู„ุฌูˆุงุจ ู„ .. ู„ุณู‡ ุงู„ุณุคุงู„ 6 ููŠ ุฃูŠ ุณุคุงู„ุŸ ุทูŠุจ ุงู„ุณุคุงู„ 7
732
+
733
+ 184
734
+ 00:15:39,800 --> 00:15:44,820
735
+ ู†ู…ุจุฑ ุณุจุน ุงู„ุณุจุน
736
+
737
+ 185
738
+ 00:15:44,820 --> 00:15:48,940
739
+ ู…ุง ุจูŠุญูƒูŠ if the p-value is less than alpha in a
740
+
741
+ 186
742
+ 00:15:48,940 --> 00:15:52,280
743
+ two-tailed test ุฅุฐุง ุงู„ p-value ุฃู‚ู„ ู…ู† ุงู„ุฃู„ูุฉ
744
+
745
+ 187
746
+ 00:15:52,280 --> 00:15:58,140
747
+ ุงู„ู‚ุฑุงุฑ ุฅุญู†ุง ู…ุชุนูˆุฏูŠู† ุฅุฐุง ุงู„ p-value ุฃู‚ู„ ู…ู† ุงู„ุฃู„ูุฉ
748
+
749
+ 188
750
+ 00:15:58,140 --> 00:16:02,540
751
+ we reject them ุนู„ู‰ ุงู„ hypothesis ุฅุฐุง if p-value is
752
+
753
+ 189
754
+ 00:16:02,540 --> 00:16:07,350
755
+ less than alpha we reject ูˆุฅู† ููŠ rejectone tail
756
+
757
+ 190
758
+ 00:16:07,350 --> 00:16:10,030
759
+ should be used ุทุจุนุง ู„ุฃ no conclusion should be
760
+
761
+ 191
762
+ 00:16:10,030 --> 00:16:13,410
763
+ reached ุจุฑุถู‡ ู„ุฃ the null shouldn't be rejected ู„ุฃ
764
+
765
+ 192
766
+ 00:16:13,410 --> 00:16:16,630
767
+ ุฅุฐุง correct answer ุฏูŠ the null hypothesis should
768
+
769
+ 193
770
+ 00:16:16,630 --> 00:16:22,870
771
+ be rejected ุฅุฐุง ุณุจุนุฉ correct answer ุฏูŠ ุฅุฐุง ู‡ุฐุง
772
+
773
+ 194
774
+ 00:16:22,870 --> 00:16:25,030
775
+ ุนุจุงุฑุฉ ุนู† ุงู„ู…ูู‡ูˆู… if b value is smaller than alpha
776
+
777
+ 195
778
+ 00:16:25,030 --> 00:16:30,210
779
+ then we reject the null hypothesis part eight true
780
+
781
+ 196
782
+ 00:16:30,210 --> 00:16:34,970
783
+ or falseThe smaller the p-value, the stronger is
784
+
785
+ 197
786
+ 00:16:34,970 --> 00:16:37,790
787
+ the evidence against the null hypothesis ูŠุนู†ูŠ
788
+
789
+ 198
790
+ 00:16:37,790 --> 00:16:41,810
791
+ ุจูŠุญูƒูŠ ูƒู„ ู…ุง ูƒุงู†ุช p-value ุตุบูŠุฑุฉ ุจูŠุนุทูŠู†ุง ุฏู„ุฉ ุชุฏุนู… ..
792
+
793
+ 199
794
+ 00:16:41,810 --> 00:16:46,530
795
+ ุฏู„ุฉ ู‚ูˆูŠุฉ ุชุฏุนู… ู…ูŠู† ุฃูˆ ุชูƒูˆู† ุถุฏ ุงู„ูุฑุถ ุงู„ุจุฏูŠู„ุŒ ุฅุฐุง
796
+
797
+ 200
798
+ 00:16:46,530 --> 00:16:53,510
799
+ correct answer trueุŒ ุฅุฐุง ุชู…ู†ูŠ ุฃูŠู‡ุŸ ุฅุฐุง smaller the
800
+
801
+ 201
802
+ 00:16:53,510 --> 00:16:56,150
803
+ p-value, the stronger is the evidence against the
804
+
805
+ 202
806
+ 00:16:56,150 --> 00:16:59,890
807
+ null hypothesisุฃูˆ ู…ู…ูƒู† ุฃูƒุชุจู‡ุง ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ The
808
+
809
+ 203
810
+ 00:16:59,890 --> 00:17:03,530
811
+ smaller the p-value, the stronger is the evidence
812
+
813
+ 204
814
+ 00:17:03,530 --> 00:17:11,710
815
+ to support ู…ู† ุงู„ู€ alternative hypothesis ุฅู…ุง ุจุนู…ู„
816
+
817
+ 205
818
+ 00:17:11,710 --> 00:17:16,970
819
+ support ู„ู„ alternative hypothesis ู…ุธุจูˆุท ุงู„ู€ H1 ุฃูˆ
820
+
821
+ 206
822
+ 00:17:16,970 --> 00:17:22,110
823
+ ุชูƒูˆู† against ุงู„ nullุŒ ุถุฏ ุงู„ null ูŠุนู†ูŠ ู‡ูŠ ู…ุด ู…ุน ุงู„
824
+
825
+ 207
826
+ 00:17:22,110 --> 00:17:27,800
827
+ null ู„ูƒู† ู…ุน ุงู„ alternative hypothesisู‡ุฐุง ุจุงู„ู†ุณุจุงู„ู‰
828
+
829
+ 208
830
+ 00:17:27,800 --> 00:17:33,860
831
+ ุชู…ุงู†ูŠุฉ ู†ุดูˆู
832
+
833
+ 209
834
+ 00:17:33,860 --> 00:17:39,560
835
+ ุณุคุงู„ ุชุณุนุฉ ู†ู‚ุฑุฃ
836
+
837
+ 210
838
+ 00:17:39,560 --> 00:17:44,900
839
+ ุงู„ุณุคุงู„ ู†ูุณ ุงู„ู…ุนุทูŠุงุช ุงู„ู„ู‰ ูุงุชุช ู†ูุณ ุงู„ุณุคุงู„ ุงู„ู„ู‰ ุงุญู†ุง
840
+
841
+ 211
842
+ 00:17:44,900 --> 00:17:48,900
843
+ ุญูƒูŠู†ุง ุนู„ูŠู‡ ุจุญูƒูŠ ุนุงูŠุฒุฉ the p value of this
844
+
845
+ 212
846
+ 00:17:48,900 --> 00:17:52,800
847
+ statistic is ู†ูุณ ุงู„ุณุคุงู„ ู…ุด ู‡ูŠูƒ ู„ุฃู† ุงูŠ ุฑุตู… ุนู†ุฏู‰
848
+
849
+ 213
850
+ 00:17:52,800 --> 00:17:59,540
851
+ ุณุคุงู„ ุชุณุนุฉ ุงู„ p value ุนุจุงุฑุฉ ุนู† ุงูŠุดุงู„ู€ Z ุงุชูˆู‚ู ุดูˆูŠุฉ
852
+
853
+ 214
854
+ 00:17:59,540 --> 00:18:04,840
855
+ ูˆุงุถุญ ุงู†ู‡ upper tail ุจุงู„ุชุงู„ูŠ ุงูƒุจุฑ ู…ู† .. ุงูŠุด ู…ูƒุชูˆุจ
856
+
857
+ 215
858
+ 00:18:04,840 --> 00:18:13,360
859
+ ู‡ู†ุงุŸ 2.18 ู…ุด ู‡ุฐู‡ ุฏุงูŠู…ุง ุงูƒุจุฑ ู…ู† Z ุงู„ statisticุŒ ุงุฐุง
860
+
861
+ 216
862
+ 00:18:13,360 --> 00:18:20,800
863
+ ุงูƒุจุฑ ู…ู† 2.18 ุทุจุนุง ู‡ุฐู‡ ู…ู† chapter 6 ู…ุด ู‡ูŠูƒุŸ ุจุฌูŠุจ ุงู„
864
+
865
+ 217
866
+ 00:18:20,800 --> 00:18:21,160
867
+ ..
868
+
869
+ 218
870
+ 00:18:24,470 --> 00:18:31,290
871
+ less than 2.18 ู„ูˆ ุทู„ุนุช ุนู„ู‰ ุงู„ table ู‡ุงูŠ ุงู„ table
872
+
873
+ 219
874
+ 00:18:31,290 --> 00:18:40,130
875
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง 2.18 ูˆุงุญุฏ
876
+
877
+ 220
878
+ 00:18:40,130 --> 00:18:44,910
879
+ ุชุญุช ุงู„ุชู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒ ู‡ุงูŠูˆุงู† all the way under eight
880
+
881
+ 221
882
+ 00:18:44,910 --> 00:18:50,070
883
+ so I got nine eight five four nine eight five four
884
+
885
+ 222
886
+ 00:18:52,780 --> 00:18:59,900
887
+ 9854 ุฅุฐุง ุงู„ุฌูˆุงุจ ุนุจุงุฑุฉ ุนู† 0146 ุฅุฐุง ุงู„ B value point
888
+
889
+ 223
890
+ 00:18:59,900 --> 00:19:05,780
891
+ 0146 this is approximate answer ุงู„ K answer point
892
+
893
+ 224
894
+ 00:19:05,780 --> 00:19:13,140
895
+ 0148 ู…ุด ู…ุดูƒู„ุฉ ูƒุชูŠุฑ ู„ุฃู† ุฌูˆุงุจ ุงู„ exact ุงู„ู…ุทู„ุน 0148
896
+
897
+ 225
898
+ 00:19:13,140 --> 00:19:17,540
899
+ ู‡ุฐุง ุงู„ exact ุงุญู†ุง ุนู†ู‡ approximate ู„ุฃู† ู‡ุฐุง ุงู„ุฌูˆุงุจ
900
+
901
+ 226
902
+ 00:19:17,540 --> 00:19:21,250
903
+ ู…ุด exact answerู…ุธุจูˆุทุŸ ูˆ approximate ูุจุงู„ุชุงู„ูŠ
904
+
905
+ 227
906
+ 00:19:21,250 --> 00:19:23,850
907
+ ุงู„ุฌูˆุงุจ ุงู„ุชุงุจุน approximate ุงู„ูุฑู‚ ู…ุด ูƒุจูŠุฑ ุจูŠู†
908
+
909
+ 228
910
+ 00:19:23,850 --> 00:19:27,890
911
+ ุงู„ุงุชู†ูŠู†
912
+
913
+ 229
914
+ 00:19:27,890 --> 00:19:35,170
915
+ ุงุฐุง
916
+
917
+ 230
918
+ 00:19:35,170 --> 00:19:39,170
919
+ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู†ุง ุงู„ุณุคุงู„ ุชุณุนุฉ ูˆุงู„ุจุนุฏู‡ ุจูŠุญูƒูŠ
920
+
921
+ 231
922
+ 00:19:39,170 --> 00:19:42,210
923
+ referring to ุชุณุนุฉ ุฃุฑุจุนุฉ ุฃู†ุง ู…ุงุชุด ุชุณุนุฉ ุฃุฑุจุนุฉ ู‡ู†ุง
924
+
925
+ 232
926
+ 00:19:43,900 --> 00:19:47,060
927
+ ุฎู„ุงุต ูู‡ุฐู‡ ู…ุด ู„ุงุฒู…ุฉ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุณุคุงู„ .. ุงู„ุณุคุงู„
928
+
929
+ 233
930
+ 00:19:47,060 --> 00:19:49,620
931
+ ุงู„ุนุงุดุฑ ุงู†ุง ุจูƒูˆู† ุงู†ุง ู…ุด ุญุงุท ุงู„ุณุงุนุฉ ุฃุฑุจุนุฉ ูู‡ุฐู‡
932
+
933
+ 234
934
+ 00:19:49,620 --> 00:19:54,520
935
+ ุงู„ุณุคุงู„ just ignored ุดูˆู ุงู„ุณุคุงู„ ุงู„ุจุนุฏ ุณุคุงู„ 11
936
+
937
+ 235
938
+ 00:19:54,520 --> 00:19:59,440
939
+ ู…ุนู„ูˆู…ุฉ
940
+
941
+ 236
942
+ 00:19:59,440 --> 00:19:59,840
943
+ ุฌุฏูŠุฏุฉ
944
+
945
+ 237
946
+ 00:20:13,580 --> 00:20:18,960
947
+ ุงู„ุณุคุงู„ 11 The quality control engineer for
948
+
949
+ 238
950
+ 00:20:18,960 --> 00:20:21,260
951
+ furniture manufacture is interested in the mean
952
+
953
+ 239
954
+ 00:20:21,260 --> 00:20:25,440
955
+ amount of force necessary to produce cracks in
956
+
957
+ 240
958
+ 00:20:25,440 --> 00:20:29,540
959
+ stressed oak furniture. She performs a two-tailed
960
+
961
+ 241
962
+ 00:20:29,540 --> 00:20:36,460
963
+ test of the
964
+
965
+ 242
966
+ 00:20:36,460 --> 00:20:39,660
967
+ null hypothesis that the mean for the stressed oak
968
+
969
+ 243
970
+ 00:20:39,660 --> 00:20:42,340
971
+ furniture is 650.
972
+
973
+ 244
974
+ 00:20:44,070 --> 00:20:48,490
975
+ ุนุงู…ู„ุฉ ุงู„ู…ูŠู† ู…ุด ุจุณุงูˆูŠ ุงูŠู‡ุŸ ูˆ ุงู„ .. ูˆ ุงู„ H1 ุฃู‚ู„ ุนู†
976
+
977
+ 245
978
+ 00:20:48,490 --> 00:20:56,230
979
+ ุฅูŠู‡ุŸ not equal ุฎู„ุงุตุŸ the calculated value of the t
980
+
981
+ 246
982
+ 00:20:56,230 --> 00:21:00,690
983
+ -test statistic is a positive number ุจูŠุญูƒูŠ ุฃู† ุงู„ Z
984
+
985
+ 247
986
+ 00:21:00,690 --> 00:21:06,610
987
+ ุทุงู„ุน positive ุจุณ ู…ุงุญูƒุชุด ุงู„ู‚ูŠู…ุฉ ู…ุด ุจุชุณุงูˆูŠ with ..
988
+
989
+ 248
990
+ 00:21:06,610 --> 00:21:09,610
991
+ is a positive number that leads to a p-value of 0
992
+
993
+ 249
994
+ 00:21:09,610 --> 00:21:14,690
995
+ .08 for the testุงู„ู€ P value ุฃุนุทุงู†ูŠ ุฃุฌุงุฒุฉ ุดูˆู
996
+
997
+ 250
998
+ 00:21:14,690 --> 00:21:17,290
999
+ ุงู„ุฃุณุฆู„ุฉ ู…ุฎุชู„ูุฉ ุนู† ุจุนุถ ููŠ ุงู„ุณุคุงู„ 11 ุทู„ุจ ุชุญุณุจ ุงู„ P
1000
+
1001
+ 251
1002
+ 00:21:17,290 --> 00:21:20,390
1003
+ value ู„ุฃู† ุฃุนุทุงู†ูŠ ุงู„ P value ูˆ ุฃุนุทุงู†ูŠ ุจุนุถ ุงู„ู…ุนู„ูˆู…ุงุช
1004
+
1005
+ 252
1006
+ 00:21:20,390 --> 00:21:24,570
1007
+ ุงู„ุชุงู†ูŠุฉ ููŠ ุงู„ุณุคุงู„ 11 11 refer to scenario 96
1008
+
1009
+ 253
1010
+ 00:21:24,570 --> 00:21:27,910
1011
+ suppose the engineer had decided that the
1012
+
1013
+ 254
1014
+ 00:21:27,910 --> 00:21:32,310
1015
+ alternative hypothesis to test was that the mean
1016
+
1017
+ 255
1018
+ 00:21:32,310 --> 00:21:36,970
1019
+ was greater than 650 ุงู„ุงู† ุจุณุฃู„ ููŠ ุงู„ุณุคุงู„ 11 ู‡ุฐู‡
1020
+
1021
+ 256
1022
+ 00:21:36,970 --> 00:21:41,570
1023
+ ู…ุนู„ูˆู…ุฉ ุนุงู…ุฉ ููŠ ุงู„ุณุคุงู„ 11 ุจุญูƒูŠ ู„ูˆ ูƒุงู† ุงู„ meanabove
1024
+
1025
+ 257
1026
+ 00:21:41,570 --> 00:21:46,230
1027
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุทูŠุจ what would be the p-value of this
1028
+
1029
+ 258
1030
+ 00:21:46,230 --> 00:21:52,750
1031
+ one test ู…ุงู‡ูŠ ุงู„ p-value ุงู„ุงู† ุงู„ู…ุซู„ ุญูƒู‰
1032
+
1033
+ 259
1034
+ 00:21:52,750 --> 00:21:56,590
1035
+ ู‡ูŠูƒ ููŠ ุงู„ two-tailed ูƒุงู†ุช ุงู„ p-value ู…ุด ู…ุชุณุงูˆูŠ
1036
+
1037
+ 260
1038
+ 00:21:56,590 --> 00:21:59,610
1039
+ ุชู…ุงู†ูŠุฉ
1040
+
1041
+ 261
1042
+ 00:21:59,610 --> 00:22:07,070
1043
+ ู…ุธุจูˆุท ุชู…ุงู†ูŠุฉ ูŠุนู†ูŠ ูƒู„ ูˆุงุญุฏุฉ ุฌุฏุด ุจุชูƒูˆู† ุฃุฑุจุนุฉ ูู…ูŠุฉ
1044
+
1045
+ 262
1046
+ 00:22:08,180 --> 00:22:10,860
1047
+ ุงู„ู„ูŠ ุฃู†ุง ู…ุด ุญุงูƒูŠ ุนู„ูŠู‡ ุงู„ Z positive ูŠุนู†ูŠ ุนู„ูŠุง
1048
+
1049
+ 263
1050
+ 00:22:10,860 --> 00:22:17,240
1051
+ ุงุชุฌุงู‡ุŒ ุนู„ูŠ ุงู„ูŠู…ูŠู† ูŠุนู†ูŠ ุงู„ Z ู‡ู†ุง ูƒุงู†ุช ุนู„ูŠ ุงู„ูŠู…ูŠู† ูˆ
1052
+
1053
+ 264
1054
+ 00:22:17,240 --> 00:22:23,660
1055
+ ุจูŠุจู‚ู‰ 100 ุฃูƒุจุฑ ุงู„ P value ู…ุด ู‡ุชุณุงูˆูŠ ุทู„ุจ ุฃูƒุจุฑ ุงู„ P
1056
+
1057
+ 265
1058
+ 00:22:23,660 --> 00:22:27,640
1059
+ value ู‡ูŠ ู…ุธู„ูˆู… ูุงู„ุฌูˆุงุจ ู‡ุชุณุงูˆูŠ 4 ู…ู† 100 ุนู„ู‰ ุทูˆู„ ุฅุฐุง
1060
+
1061
+ 266
1062
+ 00:22:27,640 --> 00:22:32,220
1063
+ ุงู„ุฌูˆุงุจ ุนุจุงุฑุฉ ุนู† Z ู„ูˆ ุญูƒู‰ Z positiveุŒ ุทุจ ู„ูˆ ุญูƒู‰ Z
1064
+
1065
+ 267
1066
+ 00:22:32,220 --> 00:22:36,920
1067
+ negativeุฎู„ู‘ูŠู†ุง ู„ูˆ ุญูƒู‰ ุงู„ู€ z negative .. ู„ูˆ ุญูƒู‰ ููŠ
1068
+
1069
+ 268
1070
+ 00:22:36,920 --> 00:22:41,180
1071
+ ุงู„ู…ุซู„ุฉ ู‡ุฐู‡ ู„ูˆ ุญูƒู‰ ุงู„ู€ z ู‚ูŠู…ุชู‡ ุงู„ู€ z statistic
1072
+
1073
+ 269
1074
+ 00:22:41,180 --> 00:22:47,540
1075
+ negative negative ูŠุนู†ูŠ ู‡ู†ุงุŒ ู…ุธุจูˆุทุŸ
1076
+
1077
+ 270
1078
+ 00:22:47,540 --> 00:22:53,380
1079
+ ุงู†ุง ู…ุด .. ุชูƒูˆู† ู†ู‚ุต ุฃุฑุจุนุฉ ุงู„ุงู† ู„ูˆ ุฃู†ุง ุญูƒูŠุช ูƒุฏู‡ ู„ูˆ
1080
+
1081
+ 271
1082
+ 00:22:53,380 --> 00:22:59,160
1083
+ ุทู„ุนุช ุงู„ู€ z negative ุฑูƒุฒูˆุง ูƒูˆูŠุณ ุงู„ู…ุซู„ ุฃู†ุง ุฎู„ุตุช ุญุงู„ุฉ
1084
+
1085
+ 272
1086
+ 00:22:59,160 --> 00:23:03,020
1087
+ ุงู„ุฌูˆุงุจ c ู„ุฃู† ุงู„ู€ z positiveู„ูˆ ููŠ ุงู„ู€ positive ..
1088
+
1089
+ 273
1090
+ 00:23:03,020 --> 00:23:06,320
1091
+ ู„ูˆ ูƒุงู†ุช positive ู‡ู†ุง ุจุทู„ู‘ูŠ ุงุญุชู…ุงู„ Z ุฃูƒุจุฑ ู…ู†
1092
+
1093
+ 274
1094
+ 00:23:06,320 --> 00:23:09,240
1095
+ ุงู„ู‚ูŠู…ุฉุŒ ู…ุธุจูˆุทุŸ ุฃูƒุจุฑุŒ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ูˆุงุถุญุŒ ุงุญู†ุง ุฌุงู‡ุฒุฉุŒ
1096
+
1097
+ 275
1098
+ 00:23:09,240 --> 00:23:14,800
1099
+ ู…ุด ู‡ูŠูƒุŸ ุทูŠุจุŒ ุฅู„ุง ู„ูˆ ูƒุงู†ุช Z negative ูˆู…ุง ุฒุงู„ ุงู„
1100
+
1101
+ 276
1102
+ 00:23:14,800 --> 00:23:21,320
1103
+ test ุชุจู‚ู‰ ู‡ูŠู‡ ู…ูŠูˆ ุฃูƒุจุฑ ุงู„ B value ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ ุฑูƒุฒูŠ
1104
+
1105
+ 277
1106
+ 00:23:21,320 --> 00:23:26,880
1107
+ ู…ุนุงูŠุงุŒ ุฌุงูˆุจูŠุด Z ุฃูƒุจุฑ ู…ู† .. ู…ุธุจูˆุทุŸ ุฅูŠุด ุงู„ .. ุฅูŠุด
1108
+
1109
+ 278
1110
+ 00:23:26,880 --> 00:23:33,940
1111
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุญูƒูŠุชู‡ุง negativeุŸ ุฅูŠุด ู‡ุชุณุงูˆูŠุŸู‡ุฐู‡ ุงู„ู€
1112
+
1113
+ 279
1114
+ 00:23:33,940 --> 00:23:43,800
1115
+ negative ูˆุงุญุฏ ู†ู‚ุต 0 ุฃุฑุจุนุฉ ูŠุนู†ูŠ 96 ู…ุนู†ุงู‡
1116
+
1117
+ 280
1118
+ 00:23:43,800 --> 00:23:49,040
1119
+ ูƒุฏู‡ ุฃู†ุง ุฌุณู…ุช ุนู„ู‰ ุงู„ุฅุชู†ูŠู† ู„ุณุจุจ ุฃู† ุงู„ alternative
1120
+
1121
+ 281
1122
+ 00:23:49,040 --> 00:23:55,100
1123
+ hypothesis ููŠ F ุฃูƒุจุฑ ูˆ Z ู…ุงู„ู‡ุง positive ูŠุนู†ูŠ
1124
+
1125
+ 282
1126
+ 00:23:55,100 --> 00:23:58,500
1127
+ ุงู„ุฅุชู†ูŠู† ู…ุงู„ู‡ู… ููŠ ู†ูุณ ุงู„ direction ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡
1128
+
1129
+ 283
1130
+ 00:23:58,500 --> 00:24:03,080
1131
+ ุทุงู„ู…ุง ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ ุจุฌุณู… ุงู„ P value ุนู„ู‰ ุฅุชู†ูŠู†ุทุจ
1132
+
1133
+ 284
1134
+ 00:24:03,080 --> 00:24:07,400
1135
+ ู„ูˆ ุจุฏุฃ ุฃุฎู„ู‘ูŠ ุงู„ู…ุซู„ุฉ ู†ูุณู‡ุง ูˆ ุงู„ุฌูˆุงุจ ู†ูุณู‡ 4% ุจุณ ุจุฏุฃ
1136
+
1137
+ 285
1138
+ 00:24:07,400 --> 00:24:13,220
1139
+ ุฃุบูŠุฑุŒ ุฅูŠุด ุฃุบูŠุฑุŸ ุจุฏู„ ู…ุง ูŠุญูƒูŠ greater thanุŒ less
1140
+
1141
+ 286
1142
+ 00:24:13,220 --> 00:24:18,940
1143
+ than ูˆ ุจุฏู„ ู…ุง ูŠุญูƒูŠ ุงู„ู€ z positiveุŒ negativeุŒ ุงู„ู„ูŠ
1144
+
1145
+ 287
1146
+ 00:24:18,940 --> 00:24:22,380
1147
+ ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ z negativeุŒ ุฑูƒุฒูŠ ู…ุนุงูŠุง ุงู„ z negativeุŒ
1148
+
1149
+ 288
1150
+ 00:24:22,380 --> 00:24:28,920
1151
+ ูƒูˆูŠุณุŸ ูˆ ุงู„ู…ูŠูˆ ุฃู‚ู„ุŒ ู†ูุชุฑุถ ุฃู‚ู„ุŒ ู…ุน ูƒุฏู‡ ุฃู†ุง ุจุทู„ุน
1152
+
1153
+ 289
1154
+ 00:24:28,920 --> 00:24:33,190
1155
+ ุงุญุชู…ุงู„ z ุฃู‚ู„ุŒ ู…ุด ู‡ูŠูƒ ู†ุญู„ ุงู„ุดู…ุงู„ู‡ุชูƒูˆู† ู†ูุณ ุงู„ุฃุฑุจุน
1156
+
1157
+ 290
1158
+ 00:24:33,190 --> 00:24:36,510
1159
+ ุนุงุฏูŠ ุฅุฐุง
1160
+
1161
+ 291
1162
+ 00:24:36,510 --> 00:24:40,910
1163
+ ุฃู† ูู‡ู…ูƒ ุงู„ุชุงู„ูŠ ุฅุฐุง ุงู„ value of the test ุงู„
1164
+
1165
+ 292
1166
+ 00:24:40,910 --> 00:24:46,090
1167
+ statistic ููŠ ู†ูุณ ุงู„ direction ูŠุนู†ูŠ ู‡ูŠ negative ูˆ
1168
+
1169
+ 293
1170
+ 00:24:46,090 --> 00:24:51,390
1171
+ ุฃู†ุช ุนุงูŠุฒ ุฃู‚ู„ ุงู„ be fair ุจุฌุณู…ู‡ุง ุนู„ู‰ ุงุชู†ูŠู† ู„ูˆ ู‡ูŠ
1172
+
1173
+ 294
1174
+ 00:24:51,390 --> 00:24:55,390
1175
+ positive ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ุจุฑุถู‡ ุจุฌุณู…ู‡ุง ุนู„ู‰ ุงุชู†ูŠู† ูˆ ุงูƒุชุด
1176
+
1177
+ 295
1178
+ 00:24:55,390 --> 00:24:59,410
1179
+ ุจุฌุณู…ุด ุนู„ู‰ ุงุชู†ูŠู†ูŠุนู†ูŠ ู…ุงูƒู†ุชุด .. ุงู„ุฌูˆุงุจ ุจุตูŠุฑ ุฌุฏุงุดุŸ
1180
+
1181
+ 296
1182
+ 00:24:59,410 --> 00:25:02,370
1183
+ ูŠุนู†ูŠ ูƒูŠู ุทู„ุน ุญุฏ ุงู„ุฌูˆุงุจุŸ ูˆุงุญุฏ ู†ู‚ุต 8 ู…ู† 100 ุนู„ู‰ 2ุŒ
1184
+
1185
+ 297
1186
+ 00:25:02,370 --> 00:25:09,290
1187
+ ู…ุธุจูˆุทุŸ ู„ู„ู€ 96 ู„ูˆ ู‡ู‰ ุฃูƒุจุฑ ูˆ ุงู„ู€ z negative ุฃูˆ ู‡ู‰
1188
+
1189
+ 298
1190
+ 00:25:09,290 --> 00:25:12,870
1191
+ ุฃู‚ู„ ูˆ ุงู„ู€ z ู…ุง ู„ู‡ุง positive ุงุญู†ุง ููŠ ุงู„ู„ู‰ ุนู†ุฏู‰
1192
+
1193
+ 299
1194
+ 00:25:12,870 --> 00:25:16,650
1195
+ ู…ุดุงู‡ุฏ ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ z positive ูˆ ุฃูƒุจุฑ ูุจุงู„ุชุงู„ูŠ
1196
+
1197
+ 300
1198
+ 00:25:16,650 --> 00:25:19,630
1199
+ ุจุฌุณู… ุงู„ู€ b value ุนู„ู‰ 2 ุฅุฐุง ุงู†ุง ุงูƒุชุจูƒ ุนู„ู‰ ู…ู„ุงุญุธุฉ
1200
+
1201
+ 301
1202
+ 00:25:19,630 --> 00:25:34,360
1203
+ ุตุบูŠุฑุฉ we divide b valueby two if ุฑู‚ู… ูˆุงุญุฏ ุงู„ู€
1204
+
1205
+ 302
1206
+ 00:25:34,360 --> 00:25:40,940
1207
+ z is positive ูˆ ุงู„ test mu greater than ุฃูƒุจุฑ ู…ู†
1208
+
1209
+ 303
1210
+ 00:25:40,940 --> 00:25:47,700
1211
+ ู…ุงุดูŠ ุฃูƒุจุฑ ู…ู† ุฃูŠ ู‚ูŠู…ุฉ ุฃูˆ ุงู„ z is negative ูˆ ุงู„
1212
+
1213
+ 304
1214
+ 00:25:47,700 --> 00:25:53,870
1215
+ alternative ู…ุงู„ู‡ ู…ูŠูˆ ุฃู‚ู„ุฅุฐุงู‹ ู†ู‚ู„ P value ู…ู† 2 ุฅุฐุง
1216
+
1217
+ 305
1218
+ 00:25:53,870 --> 00:25:58,770
1219
+ ูƒุงู† ุนู†ุฏ ูˆุงุญุฏ ู…ู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุตุญูŠุญ
1220
+
1221
+ 306
1222
+ 00:25:58,770 --> 00:26:06,050
1223
+ otherwise otherwise ูŠุนู†ูŠ ุฅูŠุดุŸ ููŠ ู…ุนุงุฏู„ ุฐู„ูƒ ู„ูˆ ูƒุงู†
1224
+
1225
+ 307
1226
+ 00:26:06,050 --> 00:26:09,010
1227
+ ุฃูŠ ุญุงุฌุฉ ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ negative ูˆู‡ุฏ ุฃู‚ู„ ุฃูˆ ุชุงู†ูŠ ุนู„ู‰
1228
+
1229
+ 308
1230
+ 00:26:09,010 --> 00:26:16,950
1231
+ ุงู„ุนูƒุณ ุงู„ P value ู…ุด ู‡ุชุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ P value ู„
1232
+
1233
+ 309
1234
+ 00:26:16,950 --> 00:26:21,010
1235
+ new ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ P value ุงู„ู„ูŠ ุนู†ุฏู‰ ู†ู‚ุตู‡ ู…ุน
1236
+
1237
+ 310
1238
+ 00:26:21,010 --> 00:26:21,270
1239
+ ุงุชู†ูŠู†
1240
+
1241
+ 311
1242
+ 00:26:24,730 --> 00:26:27,970
1243
+ ุงูƒุชุจูˆุง ูŠุง ุนุฒูŠุฒูŠุŒ ูƒุงู†ุช ู…ู„ุงุญุธุฉ ููŠ ุบุงูŠุฉ ุงู„ุฃู‡ู…ูŠุฉ ู‡ุฐุง
1244
+
1245
+ 312
1246
+ 00:26:27,970 --> 00:26:35,510
1247
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุณุคุงู„ ุงู„ู€ 11 ู†ุจุทู„ ุนู„ู‰ ุงู„ู€ 12 referring
1248
+
1249
+ 313
1250
+ 00:26:35,510 --> 00:26:38,830
1251
+ to 9-6 suppose the engineer had decided that the
1252
+
1253
+ 314
1254
+ 00:26:38,830 --> 00:26:43,650
1255
+ alternative to test was less than was less than
1256
+
1257
+ 315
1258
+ 00:26:43,650 --> 00:26:47,730
1259
+ ุฃู‚ู„ ู…ู† what would be the p-value of this test
1260
+
1261
+ 316
1262
+ 00:26:47,730 --> 00:26:53,510
1263
+ ู„ุญุธุฉุŒ ู‡ูˆ ุญูƒู‰ ุงู„ู€ z positive ู…ุธุจูˆุทุŸ ุญูƒู‰ ุงู„ู€ z
1264
+
1265
+ 317
1266
+ 00:26:53,510 --> 00:26:58,640
1267
+ positiveู…ุด ู‡ูŠูƒ ุญุงุฌุฉ z positive ููŠ ุงู„ุฃูˆู„ ุงู„ู…ุซู„ุฉ ููŠ
1268
+
1269
+ 318
1270
+ 00:26:58,640 --> 00:27:02,700
1271
+ ุงู„ุฃุตู„ ุงู„ scenario ููˆู‚ z positive ุงู„ู…ุซู„ุฉ ุนู†ุฏ z
1272
+
1273
+ 319
1274
+ 00:27:02,700 --> 00:27:10,480
1275
+ positive ูˆุงุด ุนุงูŠุฒู‡ุง ุฃู‚ู„ ู…ู† ู…ู† ุฃูŠ ู‚ูŠู…ุฉ ู…ุด ู…ุดูƒู„ุฉ
1276
+
1277
+ 320
1278
+ 00:27:10,480 --> 00:27:13,920
1279
+ ุงู„ู‚ูŠู…ุฉ ุงู„ B-value ุฃู†ุง ุญูƒูŠุช otherwise ูŠุนู†ูŠ ู„ูˆ
1280
+
1281
+ 321
1282
+ 00:27:13,920 --> 00:27:19,220
1283
+ ุงุฎุชู„ูุช ุงู„ุฃู…ูˆุฑ ุงู„ B-value ู‡ุชุณุงูˆูŠ ูˆุงุญุฏ ู†ุงู‚ุต ุงู„ู„ูŠ
1284
+
1285
+ 322
1286
+ 00:27:19,220 --> 00:27:22,970
1287
+ ุนู†ุฏูŠ ุนู„ู‰ ุงุชู†ูŠู†ูŠุนู†ูŠ ู‡ูˆ ู‚ุฏุงุดุฑ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู…ู† ุดูˆูŠุฉ
1288
+
1289
+ 323
1290
+ 00:27:22,970 --> 00:27:26,530
1291
+ ุณู†ุฉ ูˆุชุณุนูŠู† ู…ู† ู…ู„ูŠูˆู† ูˆุงุถุญ ุฅุฐุง ุณูˆุงุก 11 ูˆ 12 ููŠู‡ ุบุงูŠุฉ
1292
+
1293
+ 324
1294
+ 00:27:26,530 --> 00:27:37,650
1295
+ ุงู„ุฃู‡ู…ูŠุฉ ู‡ูŠ 11 ูˆ 12 ู†ุดูˆู 13 true
1296
+
1297
+ 325
1298
+ 00:27:37,650 --> 00:27:42,530
1299
+ or false ู†ุดูˆู referring to the same scenario if
1300
+
1301
+ 326
1302
+ 00:27:42,530 --> 00:27:45,090
1303
+ the test is performed with a level of significance
1304
+
1305
+ 327
1306
+ 00:27:45,090 --> 00:27:52,050
1307
+ of point 10 ูŠุนู†ูŠ ููŠ ุงู„ู…ุซู„ ุงู„ู„ูŠ ุงู†ุง ุงุชุจุนุชุงู†ูŠุณุคุงู„ ..
1308
+
1309
+ 328
1310
+ 00:27:52,050 --> 00:27:59,190
1311
+ ุณุคุงู„ 13 ุงุนุทุงู†ูŠ
1312
+
1313
+ 329
1314
+ 00:27:59,190 --> 00:28:03,410
1315
+ alpha 10 percent the
1316
+
1317
+ 330
1318
+ 00:28:03,410 --> 00:28:07,290
1319
+ null would be rejected ุจุงู„ุชุงู… ุฑูุถ ุงู„ูุฑุฏูŠุฉ ุงู„ุตูุฑูŠุฉ
1320
+
1321
+ 331
1322
+ 00:28:07,290 --> 00:28:13,570
1323
+ ุจู‚ุฑุฑู‡ุง ู…ุน ุงู„ B value ุงู„ B value ู‚ุฏุงุด ุญูƒูŠู‡ุง ููŠ ุฑุฃุณ
1324
+
1325
+ 332
1326
+ 00:28:13,570 --> 00:28:19,550
1327
+ ุงู„ู…ุณุงุฑ 8 ู…ู† 100 ู‡ูŠ 8ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ูˆ ุญูƒู‰ ู…ุด ุนู„ู‰ ุงู„ู€
1328
+
1329
+ 333
1330
+ 00:28:19,550 --> 00:28:22,650
1331
+ .. ู…ุด ุนู„ู‰ ุงู„ู€ 11 ู…ุด ุนู„ู‰ ุงู„ู€ 12 ูˆ 13 ุฃู†ุง ุฑุฃุณ ุงู„ู…ุซู„
1332
+
1333
+ 334
1334
+ 00:28:22,650 --> 00:28:28,290
1335
+ ุงู„ุฃุณุงุณูŠ ู…ูŠ ุฏูˆุฒ ู„ุงุช ูŠูƒูˆูŠู† 650 ุจุฏูŠ ุฃุนู…ู„ ุนู†ุฏ ูˆุงุญุฏ ู…ู†
1336
+
1337
+ 335
1338
+ 00:28:28,290 --> 00:28:32,250
1339
+ ุงู„ุนุดุฑุฉ ุงู„ ุจูŠ ูุงูŠู„ูˆ ุฅูŠุด ูƒุงู† ููŠ ุงู„ุชุณุงูˆูŠุŸ ุงู„ุชู…ุงู†ูŠุฉ ู…ู†
1340
+
1341
+ 336
1342
+ 00:28:32,250 --> 00:28:36,530
1343
+ ู…ูŠุฉ point zero eight just compare b value with
1344
+
1345
+ 337
1346
+ 00:28:36,530 --> 00:28:40,050
1347
+ alpha if the b value is more than alpha then we
1348
+
1349
+ 338
1350
+ 00:28:40,050 --> 00:28:43,730
1351
+ reject the hypothesis ูˆุงุถุญ ุญุงู„ุฉ is less than 10%
1352
+
1353
+ 339
1354
+ 00:28:43,730 --> 00:28:50,180
1355
+ ุฅุฐุง ู† rejectit's zero ู‡ูˆ ุจูŠุญูƒูŠ ุฏู„ุงู„ should be
1356
+
1357
+ 340
1358
+ 00:28:50,180 --> 00:28:53,660
1359
+ rejected yes true ุงุฐุง a is the correct answer ูู„ุณ
1360
+
1361
+ 341
1362
+ 00:28:53,660 --> 00:28:59,320
1363
+ ุงุฐุง ุงู„ุญู„ ุงูŠู‡
1364
+
1365
+ 342
1366
+ 00:28:59,320 --> 00:29:03,500
1367
+ ู‡ุฐุง
1368
+
1369
+ 343
1370
+ 00:29:03,500 --> 00:29:09,760
1371
+ eleven ูˆู‡ุฐุง twelve ูˆ thirteen ุงู„ุงู† ุดูˆู fourteen
1372
+
1373
+ 344
1374
+ 00:29:09,760 --> 00:29:14,920
1375
+ ุจุฑุถู‡
1376
+
1377
+ 345
1378
+ 00:29:14,920 --> 00:29:15,600
1379
+ true or false
1380
+
1381
+ 346
1382
+ 00:29:19,640 --> 00:29:22,680
1383
+ ู„ูˆ ุจูŠุญูƒูŠ if the test is performed with level of
1384
+
1385
+ 347
1386
+ 00:29:22,680 --> 00:29:27,260
1387
+ significance alpha 0
1388
+
1389
+ 348
1390
+ 00:29:27,260 --> 00:29:32,160
1391
+ .05 ุงู„ู…ุฑูู‚ุฉ ูƒุงู†ุช 0.10 ุฅู„ุง 0.5 ุงู„ู€ null would be
1392
+
1393
+ 349
1394
+ 00:29:32,160 --> 00:29:41,720
1395
+ rejected ู…ุฑุฉ
1396
+
1397
+ 350
1398
+ 00:29:41,720 --> 00:29:47,080
1399
+ ุชุงู†ูŠุฉ referring to ุณ๏ฟฝ๏ฟฝู†ุงุฑูŠูˆ 9 ุน 6 if the test is
1400
+
1401
+ 351
1402
+ 00:29:47,080 --> 00:29:53,760
1403
+ performed at 5%ุงู„ู€ null would be rejectedุŸ ุงู„ุฎู…ุณุฉ
1404
+
1405
+ 352
1406
+ 00:29:53,760 --> 00:30:01,140
1407
+ ุนุงุดุŸ ุฃู†ุง ู„ุฎุจุทุชุŸ ุงุญู†ุง ุญุงู„ูŠู†ุง ู‚ุฏุงุดุฑุŸ ุญุงู„ูŠู†ุง ุฑุจุนุชุงุดุฑ
1408
+
1409
+ 353
1410
+ 00:30:01,140 --> 00:30:09,560
1411
+ ู†ุญู† ููŠ ุญุงู„ุฉ ุฑุจุนุชุงุดุฑุŸ ุฃู†ุง ุจู‚ุฑุง ููŠ ุฎู…ุณุฉ ุนุงุดุฑ ุงุญู†ุง ููŠ
1412
+
1413
+ 354
1414
+ 00:30:09,560 --> 00:30:16,060
1415
+ ุฑุจุนุชุงุดุฑ ุฎู„ุงุต ุทูŠุจ ู…ุฑุฉ ุชุงู†ูŠุฉ if the test performed a
1416
+
1417
+ 355
1418
+ 00:30:16,060 --> 00:30:21,290
1419
+ level of significance 10%ุงู„ุนู„ู…ุงุก ูŠุณุชุทูŠุน ุฃู† ูŠุฎุชู…
1420
+
1421
+ 356
1422
+ 00:30:21,290 --> 00:30:28,930
1423
+ ุฃู‚ู„ ู‚ูŠู…ุฉ ู‚ูˆุฉ ู„ุฅู†ุชุงุฌ ูƒุฑุงูƒุณ 650 ุชุจู‚ู‰ 2 ุชู„ุช ูˆู…ุง ู‡ูŠ 0
1424
+
1425
+ 357
1426
+ 00:30:28,930 --> 00:30:39,090
1427
+ .8 ู‡ู„ ู‡ูŠ ุฃุตุบุฑ ู…ู† 1 ู…ู† ุงู„ุนุดุฑุฉุŸ ุฅูŠุด ุฑุฃูŠูƒู…ุŸ ุงุชู„ู‚ู‰ ู…ุฑุฉ
1428
+
1429
+ 358
1430
+ 00:30:39,090 --> 00:30:41,970
1431
+ ุชุงู†ูŠุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุจ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ 10%
1432
+
1433
+ 359
1434
+ 00:30:41,970 --> 00:30:50,220
1435
+ ุงู„ุนู„ู…ุงุก ูŠุณุชุทูŠุน ุฃู† ูŠุฎุชู… ุฃู‚ู„ ู‚ูŠู…ุฉ ู‚ูˆุฉwe start to
1436
+
1437
+ 360
1438
+ 00:30:50,220 --> 00:30:55,680
1439
+ produce ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู† ุงู„ mean ุจูŠุณุงูˆูŠ 650 ู‡ูˆ ุจูŠุญูƒูŠ
1440
+
1441
+ 361
1442
+ 00:30:55,680 --> 00:31:00,540
1443
+ ูƒุฏู‡ ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡ ุตุญุŸ ุงุญู†ุง ุนู†ุฏ 8% ุงู„ู„ูŠ ุจูŠุจู‚ู‰ we
1444
+
1445
+ 362
1446
+ 00:31:00,540 --> 00:31:07,780
1447
+ reject ู‡ุฐูŠ rejected ุงุฐุง ุงู„ H0 ู…ุด ุตุญูŠุญ ู‡ูˆ ุงุดุญูƒ ุงุฐุง
1448
+
1449
+ 363
1450
+ 00:31:07,780 --> 00:31:11,820
1451
+ ุงู„ุฌูˆุงุจ ุงุดุญูƒูˆู† false B is the correct answer ุฎู„ุงุต
1452
+
1453
+ 364
1454
+ 00:31:11,820 --> 00:31:21,210
1455
+ ู‡ูˆ ุงุด ุจูŠุญูƒูŠ ูŠุนู†ูŠ ุงูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนู‡ุŸุฅูŠุด ู‚ุฑุงุฑู‡ุŸ ุฅู† ุงู„ู€
1456
+
1457
+ 365
1458
+ 00:31:21,210 --> 00:31:26,630
1459
+ mean ู…ุงู†ูˆ .. ุฅูŠู‡ ูƒุจูŠุฑ ูƒุฐุงุŸ ุฅู† ุงู„ู€ mean ู…ุณุชูˆู‰ 650
1460
+
1461
+ 366
1462
+ 00:31:26,630 --> 00:31:32,150
1463
+ ูŠุนู†ูŠ ู‡ูˆ ู…ุน ุงู„ู‚ุฑุงุฑ ู‡ุฐุง ู‡ู„ ูƒู„ุงู…ู‡ ุตุญ ูˆู„ุง ู„ุฃุŸ ุงู„ B
1464
+
1465
+ 367
1466
+ 00:31:32,150 --> 00:31:36,990
1467
+ value ุจุชุงุนุชู†ุง point 08 ุงู„ alpha ุชุจุนุชูŠ 10% ุนูƒุงู„ูŠู‡ุง
1468
+
1469
+ 368
1470
+ 00:31:36,990 --> 00:31:47,110
1471
+ 10ุŒ ู…ุธุจูˆุทุŸ ู‡ู„ ุงู„ point B value ุฃุตุบุฑ ู…ู† 10%ุŸ8 ู…ู†
1472
+
1473
+ 369
1474
+ 00:31:47,110 --> 00:31:52,910
1475
+ 100 ุฃุตุบุฑ ุฅุฐุง ู„ู… ูŠูƒู† ู‡ู†ุงูƒ ู‚ุฑุงุฑ ุฅุชุฌุงู‡ ุงู„ู€ Zero ุทุจุนุง
1476
+
1477
+ 370
1478
+ 00:31:52,910 --> 00:31:55,690
1479
+ ุฅุชุฌุงู‡ ุงู„ู€ Zero ุฅุฐุง ูƒู„ ู‡ุฐุง ู„ูŠุณ ุตุญูŠ ู„ุฃู† ุฅุชุฌุงู‡ ุงู„ู€
1480
+
1481
+ 371
1482
+ 00:31:55,690 --> 00:32:01,810
1483
+ Zero ู…ุน ูƒุฏู‡ ู…ูŠู† ุงู„ุตุญูŠ H1ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ูƒู„ ู‡ุฐุง ู„ูŠุณ
1484
+
1485
+ 372
1486
+ 00:32:01,810 --> 00:32:11,770
1487
+ ุตุญูŠ ุฑู‚ู… 15 ุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุฉ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ 5%
1488
+
1489
+ 373
1490
+ 00:32:11,770 --> 00:32:17,010
1491
+ ุฃู„ูุฉ ุจุฎู…ุณุŒ ุงุฎุชู„ูุช ุงู„ุฃู„ูุฉthe null would be rejected
1492
+
1493
+ 374
1494
+ 00:32:17,010 --> 00:32:20,270
1495
+ ุงู†ุง
1496
+
1497
+ 375
1498
+ 00:32:20,270 --> 00:32:23,830
1499
+ ุฎู„ู‘ูŠ ุจุงูƒ ุงู„ู…ุซู„ุฉ ุชุฃุชูŠ ู…ู† ููˆู‚ ุฎุงู„ุต ู‡ูˆ ุงุชุฌุงู‡ 11 ูˆ 12
1500
+
1501
+ 376
1502
+ 00:32:23,830 --> 00:32:26,970
1503
+ ู„ู…ุง ุตุงุฑุช one tail ู„ุฃ ุงู†ุง ููŠ ุงู„ุฑุฃุณ ุงู„ู…ุซู„ุฉ ู…ู† ุงู„ ..
1504
+
1505
+ 377
1506
+ 00:32:26,970 --> 00:32:31,930
1507
+ ู…ู† ุงู„ scenario ุงู„ุฃุตู„ูŠ ุฅูŠุด ูƒุงู†ุชุŸ ู„ุง ูŠุณุงูˆูŠ ูˆ 8 ู…ู†
1508
+
1509
+ 378
1510
+ 00:32:31,930 --> 00:32:39,030
1511
+ 100 ู‚ุงุฑู†ู‡ุง ู…ุน Alpha ู‡ู„ ุงู„ B value ุงู„ู„ูŠ ุจุชุณุงูˆูŠ 8
1512
+
1513
+ 379
1514
+ 00:32:39,030 --> 00:32:43,110
1515
+ ุฃู‚ู„ ูˆู„ุง ุฃูƒุจุฑุŸ ุฅุฐุง ุฅูŠุด ุงู„ู‚ุฑุงุฑุŸ
1516
+
1517
+ 380
1518
+ 00:32:48,720 --> 00:32:53,680
1519
+ the null would be rejected ุงุญู†ุง ู‚ุฑุฑุด don't reject
1520
+
1521
+ 381
1522
+ 00:32:53,680 --> 00:32:57,920
1523
+ ุฅุฐุง ู‚ุฑุฑ .. ุฅู† ุญูƒู‰ ุงู„ูƒู„ุงู… ุฏู‡ ุฎุทุฃ ุฅุฐุง correct answer
1524
+
1525
+ 382
1526
+ 00:32:57,920 --> 00:33:04,060
1527
+ is B ุฅุฐุง ุงู„ุฎู…ุณุฉ ุนุดุฑ ุจูŠู‡ ุจู†ุฎุชุงุฑ .. ู‡ุฐูˆู„ ู„ุณู‡ ุจุฏู‡ู…
1528
+
1529
+ 383
1530
+ 00:33:04,060 --> 00:33:08,180
1531
+ ุดูˆูŠุฉ ุชุฑูƒูŠุฒ ุงู†ุดูˆู ุณุชุฉ ุนุดุฑ
1532
+
1533
+ 384
1534
+ 00:33:18,620 --> 00:33:25,740
1535
+ ุจุฑุถู‡ true or false if the test is performed at
1536
+
1537
+ 385
1538
+ 00:33:25,740 --> 00:33:31,900
1539
+ level alpha 5 percent the engineer can conclude
1540
+
1541
+ 386
1542
+ 00:33:31,900 --> 00:33:38,940
1543
+ the mean amount of force to produce is 650 at a
1544
+
1545
+ 387
1546
+ 00:33:38,940 --> 00:33:39,120
1547
+ five
1548
+
1549
+ 388
1550
+ 00:33:47,460 --> 00:33:54,020
1551
+ ู‡ู†ุง ุตุงุฑุช five personsุŒ ู…ุธุจูˆุทุŸ ู‡ูˆ ุงู„ู‚ุฑุงุฑ ุฅูŠุด ุชุงุจุนู‡ุŸ
1552
+
1553
+ 389
1554
+ 00:33:54,020 --> 00:34:03,200
1555
+ ุงู„ู€ 100 ูŠูƒุจุฑ 650 ุฅุฐุง ุฅูŠุด ู‚ุฑุงุฑ ุตุญ ูˆู„ุง ุฎุทุฃุŸ
1556
+
1557
+ 390
1558
+ 00:34:03,200 --> 00:34:09,120
1559
+ ุงู„ู„ูŠ ุจูŠุจู‚ู‰ ุนู„ู‰ ุงู„ุดู…ุงู„ู‡ุง ุชู…ุงู†ูŠุฉ ู…ุด ู‡ูŠูƒุŸ ุฃูƒุจุฑ ู…ู† ุฃู„ู
1560
+
1561
+ 391
1562
+ 00:34:09,120 --> 00:34:13,980
1563
+ ูŠุนู†ูŠ don't reject ูŠุนู†ูŠ don't ..
1564
+
1565
+ 392
1566
+ 00:34:16,950 --> 00:34:25,110
1567
+ rejectุŒ ู…ุธู‡ุฑุŸ ุฅุฐุง
1568
+
1569
+ 393
1570
+ 00:34:25,110 --> 00:34:31,970
1571
+ ุงู„ู€ 16 ููŠู‡ุง ุฎุทุฃุŒ ุชุฑูƒุฒูˆุง ู…ุนุงูŠุงุŒ ููŠ 16 ุงู„ู€ alpha 5
1572
+
1573
+ 394
1574
+ 00:34:31,970 --> 00:34:36,150
1575
+ percent the engineer can include the mean amount
1576
+
1577
+ 395
1578
+ 00:34:36,150 --> 00:34:39,710
1579
+ of force to produce cracks in stressed oak
1580
+
1581
+ 396
1582
+ 00:34:39,710 --> 00:34:45,090
1583
+ furnaces 650 ูŠุนู†ูŠ ู‡ูˆ ู…ุน ุงู„ู‚ุฑุงุฑ ุฅูŠุดุŸ ุฅู†ู‡ ุจุณูˆุก 650
1584
+
1585
+ 397
1586
+ 00:34:46,150 --> 00:34:50,670
1587
+ ุจู†ุนู…ู„ ุจูŠู‡ value 88% ูู‡ูŠ ุฃูƒุจุฑ ู…ู†ู‡ ุจุงู„ุชุงู„ูŠ ูˆูŠู‡ don't
1588
+
1589
+ 398
1590
+ 00:34:50,670 --> 00:34:55,190
1591
+ reject ุฅุฐุง ุงู„ูƒ๏ฟฝ๏ฟฝู…ุฉ ุตุญ ุฅุฐุง correct answer ู…ูŠู†ุŸ ุฅุฐุง
1592
+
1593
+ 399
1594
+ 00:34:55,190 --> 00:35:00,190
1595
+ ุญู„ูˆ ุตุญ ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ ู…ูƒุชูˆุจ ุบู„ุท ู…ูƒุชูˆุจ ุจูŠ ุงู„
1596
+
1597
+ 400
1598
+ 00:35:00,190 --> 00:35:06,050
1599
+ correct answer ุนุจุงุฑุฉ ุนู† ุฃูŠู‡ุŸ ุฎู„ุงุตุŸ ูˆุงุถุญ ุงู„ ุจูŠู‡
1600
+
1601
+ 401
1602
+ 00:35:06,050 --> 00:35:09,250
1603
+ value ููŠ ุงู„ู…ุซู„ุฉ 88% ุงู„ุฃู„ุซุฉ ุจุฎู…ุณุฉ ุฅูŠุด ุงู„ู‚ุฑุงุฑ reject
1604
+
1605
+ 402
1606
+ 00:35:09,250 --> 00:35:13,110
1607
+ ูˆู„ุง don't rejectุŸ don't reject don't reject ู…ุนู†ุงู‡
1608
+
1609
+ 403
1610
+ 00:35:13,110 --> 00:35:19,200
1611
+ ุงู„ู…ูŠู† ุจุงู„ุณุงุนุฉ 650ู„ุฐุง ุจู‚ุฏุฑ ุฃุญูƒูŠ 650 ุฎู„ุงุต ุฅู„ู‡ุง ู‚ูˆู„
1612
+
1613
+ 404
1614
+ 00:35:19,200 --> 00:35:28,200
1615
+ ุชุงู†ูŠ ู„ู…ุง ุจุญูƒูŠ don't reject ู…ุนู†ุงู‡ุง ุฅูŠุดุŸ
1616
+
1617
+ 405
1618
+ 00:35:28,200 --> 00:35:36,780
1619
+ ู…ุนู†ุงู‡ุง we don't have sufficient evidence
1620
+
1621
+ 406
1622
+ 00:35:36,780 --> 00:35:39,960
1623
+ sufficient
1624
+
1625
+ 407
1626
+ 00:35:39,960 --> 00:35:49,670
1627
+ evidence to support ู…ูŠู†ุŸH1 ุจุณ ู…ู‚ุฏุฑุด ุฃุญูƒูŠ ุงู„ู€H0
1628
+
1629
+ 408
1630
+ 00:35:49,670 --> 00:35:56,430
1631
+ ุตุญูŠุญ ุนุดุงู† ูƒุฏู‡ ุงู„ูƒุชุงุจ ุญุท ุงู„ุฌุงุจุฉ ู…ูŠู†ุŸ false ุฅุฐุง when
1632
+
1633
+ 409
1634
+ 00:35:56,430 --> 00:35:59,810
1635
+ we don't reject a null hypothesis ู…ุด ู…ุนู†ุงู‡ ุฅูŠุด ุตูุฑ
1636
+
1637
+ 410
1638
+ 00:35:59,810 --> 00:36:03,550
1639
+ ุตุญูŠุญ ุฅูŠุด ู…ุนู†ุงู‡ุŸ ู…ุนู†ุงู‡ we don't have sufficient
1640
+
1641
+ 411
1642
+ 00:36:03,550 --> 00:36:06,410
1643
+ evidence to support alternative hypothesis ุฅุฐุง ู…ุง
1644
+
1645
+ 412
1646
+ 00:36:06,410 --> 00:36:11,580
1647
+ ูƒุฏู‡ ู‡ุฑูˆุญ ุฃุดุชุจ ุฅูŠู‡ุŸ ุฃู‚ูˆู„ ู„ุฃ ุฅูŠู‡ุŸุงู„ุตุญูŠุญุฉ ู„ูŠุณุช ู‚ูˆูŠุฉ
1648
+
1649
+ 413
1650
+ 00:36:11,580 --> 00:36:14,620
1651
+ ู„ุฃู†ู†ุง ู„ุง ู†ุณุชุทูŠุน ุฃู† ู†ู‚ูˆู„ accept it's zero when we
1652
+
1653
+ 414
1654
+ 00:36:14,620 --> 00:36:21,940
1655
+ don't reject, don't reject doesn't mean accept ู‡ุฐุง
1656
+
1657
+ 415
1658
+ 00:36:21,940 --> 00:36:25,140
1659
+ ุงู„ู†ู‚ุทุฉ ููŠ ุบุงูŠุฉ ุงู„ุฃู‡ู…ูŠุฉุŒ ุนุฏู… ุงู„ุฑูุถ ู„ูŠุณ ู…ุนู†ุงู‡ ู‚ุจูˆู„ุŒ
1660
+
1661
+ 416
1662
+ 00:36:25,140 --> 00:36:29,120
1663
+ ู…ุนู†ุงู‡ ุฃูŠุดุŸ we don't have sufficient evidence to
1664
+
1665
+ 417
1666
+ 00:36:29,120 --> 00:36:35,920
1667
+ support each one ุฒู…ุงู† ูƒุฐุง ู‚ุฑุงุฑู‡ ุฃู† ุงู„ H ุตุญูŠุญ ู„ูŠุณ
1668
+
1669
+ 418
1670
+ 00:36:35,920 --> 00:36:45,670
1671
+ ุตุญูŠุญ ู…ุงุนู†ุฏูŠุด ุฃุฏู„ุฉ ุชุฏุนู‰ ู…ูŠู†ุŸH1 ุฎู„ุงุต ุฎู„ุงุต
1672
+
1673
+ 419
1674
+ 00:36:45,670 --> 00:36:50,910
1675
+ ุฅุญู†ุง ุจู†ุญูƒูŠ ู…ุงุนู†ุฏูŠุด ุฃุฏู„ุฉ ุชุฏุนู… H1 ูู‚ุฑุงุฑู‡ ุฎุทุฃ ุฎู„ุงุต
1676
+
1677
+ 420
1678
+ 00:36:50,910 --> 00:36:58,050
1679
+ ุงู„ู‚ุฑุงุฑ is then B if the correct answer is B ุดูˆู ุงู„
1680
+
1681
+ 421
1682
+ 00:36:58,050 --> 00:37:01,890
1683
+ 17 ุจูŠ
1684
+
1685
+ 422
1686
+ 00:37:01,890 --> 00:37:09,630
1687
+ ู‡ุฐุง ุจูŠ 16 ุจูŠ 17
1688
+
1689
+ 423
1690
+ 00:37:26,820 --> 00:37:30,660
1691
+ ุงู„ุณุคุงู„ ุงู„ุณุงุจุน .. suppose the engineer had decided
1692
+
1693
+ 424
1694
+ 00:37:30,660 --> 00:37:34,340
1695
+ that the alternative to test was that the mean was
1696
+
1697
+ 425
1698
+ 00:37:34,340 --> 00:37:45,280
1699
+ greater than .. greater than 650 ู‡ูˆ ุงู„ุงู…ุฑ ุงุฎุชุจุฑ
1700
+
1701
+ 426
1702
+ 00:37:45,280 --> 00:37:50,100
1703
+ 100 ุฃูƒุจุฑ ู…ู† 650 ุตุญูŠุญ
1704
+
1705
+ 427
1706
+ 00:37:50,100 --> 00:37:58,620
1707
+ 16 ูุงู„ุณุฅุฐุง ูƒุงู†ุช ุงู„ุชุฌุงุฑุฉ ุชู… ุชุฌุงุฑุจู‡ุง ุจู‚ูŠู…ุฉ Alpha 5%
1708
+
1709
+ 428
1710
+ 00:37:58,620 --> 00:38:03,760
1711
+ ูุงู„ู†ู„
1712
+
1713
+ 429
1714
+ 00:38:03,760 --> 00:38:12,520
1715
+ ุณูŠุชูุฑุฌ ุฅุฐุง ูƒู†ุง ุญูƒูŠู†ุง ุฃู† P value ูƒุงู†ุช positive
1716
+
1717
+ 430
1718
+ 00:38:12,520 --> 00:38:19,100
1719
+ ู…ุธุจูˆุท ูŠุนู†ูŠ ู…ุด ู‡ุชุณุงูˆูŠ ุฃุฑุจุนุฉ ููŠ ุงู„ู…ูŠุฉ ุฅุฐุง ูƒุงู†ุช Alpha
1720
+
1721
+ 431
1722
+ 00:38:19,100 --> 00:38:21,120
1723
+ 5% ู†ุชูุฑุฌ ุฃูˆ ู„ุง ู†ุชูุฑุฌ
1724
+
1725
+ 432
1726
+ 00:38:23,760 --> 00:38:32,780
1727
+ ุงู„ู€ B value equal 4% ุฃู‚ู„ ู…ู† 5 ุฅุฐุง ุงู„ู€ reject ุฅุฐุง
1728
+
1729
+ 433
1730
+ 00:38:32,780 --> 00:38:37,540
1731
+ ุงู„ู€ correct answer is A true ุฅุฐุง ุงู„ู€ 17 ุงู„ู€ answer
1732
+
1733
+ 434
1734
+ 00:38:37,540 --> 00:38:42,900
1735
+ is A number
1736
+
1737
+ 435
1738
+ 00:38:42,900 --> 00:38:46,720
1739
+ 18 suppose
1740
+
1741
+ 436
1742
+ 00:38:46,720 --> 00:38:49,740
1743
+ the engineer had decided that the alternative to
1744
+
1745
+ 437
1746
+ 00:38:49,740 --> 00:38:53,260
1747
+ test was the mean was less than 650
1748
+
1749
+ 438
1750
+ 00:38:59,800 --> 00:39:08,440
1751
+ ุซู… ุฅุฐุง ุชู… ุชุฌุงุฑุจ ุงู„ุงุฎุชุตุงุฑ ุจู‚ูŠู…ุฉ 5% ุฑุงูƒุฒูŠ ู…ุนุงูƒ ุชุงู†ูŠ
1752
+
1753
+ 439
1754
+ 00:39:08,440 --> 00:39:13,920
1755
+ ุงู„ู€ z positive ูˆู‡ุฐุง
1756
+
1757
+ 440
1758
+ 00:39:13,920 --> 00:39:18,600
1759
+ ุฃู‚ู„ ุงู„ ุจูŠุจ ูุงู„ูŠ ุดูˆ ู‡ุชุณุงูˆูŠุŸ
1760
+
1761
+ 441
1762
+ 00:39:18,600 --> 00:39:24,120
1763
+ one minus ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ 96 reject ูˆู„ุง don't rejectุŸ
1764
+
1765
+ 442
1766
+ 00:39:25,890 --> 00:39:29,530
1767
+ ุฅูŠู‡ุŸ ู„ุฃู† ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุฃุตุบุฑ ุฃูˆ ุฃูƒุจุฑ 5%ุŸ ุฃูƒุจุฑ ุจูƒุชูŠุฑ ู…ู†
1768
+
1769
+ 443
1770
+ 00:39:29,530 --> 00:39:39,230
1771
+ 5% ุฅุฐุง don't reject H0 ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ุฃูŠุชูŠู† ูุจูŠุญูƒูŠ
1772
+
1773
+ 444
1774
+ 00:39:39,230 --> 00:39:42,130
1775
+ ุงู„ .. the null would be rejected ุงุญู†ุง ู…ุด ุญูƒูŠู†ุง
1776
+
1777
+ 445
1778
+ 00:39:42,130 --> 00:39:48,070
1779
+ don't reject ุฅุฐุง correct answer is B ูˆุงุถุญ
1780
+
1781
+ 446
1782
+ 00:39:48,070 --> 00:39:51,590
1783
+ ู„ุณู‡ ุฃู†ุง ุจุฏุฃ ุงู„ุขู† ุชููƒูŠุฑ ู…ุด ู…ุฌุฑุฏ ุฃูƒูˆู† ุญุงูุธ ุฃูˆ ุญู„ ู‡ุฐุง
1784
+
1785
+ 447
1786
+ 00:39:51,590 --> 00:39:53,590
1787
+ ุงู„ุณุคุงู„ ูƒูˆูŠุณุฉ ูŠุนู†ูŠ ุจุฏุฃ ุดุจูŠุฉ ุดุบู„
1788
+
1789
+ 448
1790
+ 00:39:59,170 --> 00:40:04,070
1791
+ ุดูˆู ุญุณุจ ุงู„ edition ุชุจุนุชูƒุŒ ู‡ุงูŠ ุงู„ edition seven ุฅุฐุง
1792
+
1793
+ 449
1794
+ 00:40:04,070 --> 00:40:10,550
1795
+ ู†ูุณ ุงู„ุทุจุนุฉ ุจุชูƒูˆู† ู†ูุณ ุงู„ุฃุณู„ุฉ ุฃุญูŠุงู†ุง ุจุชุบูŠุฑ ุงู„ุฃู„ู‚ุงู…
1796
+
1797
+ 450
1798
+ 00:40:10,550 --> 00:40:19,690
1799
+ ุจุณ ๏ฟฝ๏ฟฝูุณ ุงู„ููƒุฑุฉ ู…ู…ูƒู† ู†ุดูˆู
1800
+
1801
+ 451
1802
+ 00:40:19,690 --> 00:40:20,130
1803
+ ุงู„ู„ูŠ ุจุนุฏู‡
1804
+
1805
+ 452
1806
+ 00:40:36,210 --> 00:40:45,230
1807
+ ุฅุฐุง ุงู„ุจุงุญุซ ู„ู… ูŠุฑูุถ ู†ู„ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ูˆ ุฃู†ุง ู„ุง ุฃุฑูุถ
1808
+
1809
+ 453
1810
+ 00:40:45,230 --> 00:40:51,870
1811
+ ู†ู„ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ ู‡ูˆ ุตุญูŠุญ
1812
+
1813
+ 454
1814
+ 00:40:54,110 --> 00:41:01,090
1815
+ ู‡ูŠ ุงูŠุด ุญูƒุงูŠุฉุŸ don't reject true ุฅุฐุง ุงู„ู‚ุฑุงุฑ ุตุญ ุจุฑูุถ
1816
+
1817
+ 455
1818
+ 00:41:01,090 --> 00:41:04,470
1819
+ ุงู„ุดูŠุก ุตุญ is a correct decision ู„ุฅู† ุงู„ correct ุจูŠุฌูŠ
1820
+
1821
+ 456
1822
+ 00:41:04,470 --> 00:41:06,750
1823
+ ู…ู† ูˆูŠู†ุŸ either don't reject ุงู„ zero when it is
1824
+
1825
+ 457
1826
+ 00:41:06,750 --> 00:41:11,130
1827
+ true or reject its false ููŠ ุญุงู„ุชูŠู† ุงู„ true ุงู„ type
1828
+
1829
+ 458
1830
+ 00:41:11,130 --> 00:41:16,210
1831
+ one error reject ุงู„ zero when it is true ูˆ ุงู„ type
1832
+
1833
+ 459
1834
+ 00:41:16,210 --> 00:41:19,770
1835
+ two don't reject when it is false ูุจุงู„ุชุงู„ุช a
1836
+
1837
+ 460
1838
+ 00:41:19,770 --> 00:41:20,330
1839
+ correct decision
1840
+
1841
+ 461
1842
+ 00:41:37,700 --> 00:41:41,800
1843
+ ุงู„ุณุคุงู„ ุงู„ู€ twenty which
1844
+
1845
+ 462
1846
+ 00:41:41,800 --> 00:41:48,700
1847
+ of the following is not trueุŸ ุจูŠุญูƒูŠ ุงู„ู†ูˆุนูŠุฉ
1848
+
1849
+ 463
1850
+ 00:41:48,700 --> 00:41:56,180
1851
+ ุงู„ุชุงู†ูŠุฉ ู…ู† ุงู„ุฃุณู„ุฉ ู…ูŠู† ู…ู† ู‡ุฏูˆู„ ู…ุด ุตุญ about the
1852
+
1853
+ 464
1854
+ 00:41:56,180 --> 00:42:00,140
1855
+ level of significance ู…ูŠู† ู…ุด ุตุญ ุจุงู„ู†ุณุจุฉ ู„ู„ alphaุŸ
1856
+
1857
+ 465
1858
+ 00:42:00,140 --> 00:42:03,820
1859
+ ู„ุงุฒู… ุฃุญุท ููŠ ุฏู…ุงุบูƒ ุชุนุฑูŠู ุงู„ alphaุŒ ู…ุธุจูˆุทุŸ ุงู„ alpha
1860
+
1861
+ 466
1862
+ 00:42:03,820 --> 00:42:08,990
1863
+ ุงู„ุดุนุฑ ุงู„ุชุนุฑูŠูุฃู†ุง ููŠ ุนู†ุฏูŠ ุงู„ู€ type 1 error ู…ุธุจูˆุท
1864
+
1865
+ 467
1866
+ 00:42:08,990 --> 00:42:14,970
1867
+ ูˆุงู„ู€ alpha ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ probability ู„ู„ู€ type 1
1868
+
1869
+ 468
1870
+ 00:42:14,970 --> 00:42:18,710
1871
+ error ูˆุงู„ู€ type 1 error ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ reject
1872
+
1873
+ 469
1874
+ 00:42:18,710 --> 00:42:25,610
1875
+ through null hypothesis ู„ุงุฒู…ุŒ ู„ูˆ ุฌุงู…ุญู„ูŠ ู…ุซู„ุง ุฃุญุท
1876
+
1877
+ 470
1878
+ 00:42:25,610 --> 00:42:29,130
1879
+ ุงู„ูƒู„ุงู… ุฏู‡ ุฅู…ุง ุฃู†ุง ู…ุชุฎูŠู„ู‡ ุฃูˆ ุฃูƒุชุจ ุนู„ู‰ ูˆุฑู‚ุฉ ูŠุนู†ูŠ
1880
+
1881
+ 471
1882
+ 00:42:29,130 --> 00:42:34,010
1883
+ ู„ุญุธูˆ ุฃู†ุง ุจูƒุชุจุŒ ุจูƒุชุจุด ูƒู„ุงู… ูˆุงุถุญ ุจู„ ุงู†ุง ูŠุนู†ูŠ scratch
1884
+
1885
+ 472
1886
+ 00:42:35,300 --> 00:42:39,500
1887
+ ู…ุด ู‡ุฐุง ู…ุทู„ูˆุจ ูŠุนู†ูŠ ุฃูŠ ุญุงุฌุฉ ุจูƒุชุจ ู„ุฅู† ุงู„ู‡ุฏู ู…ุด ู‡ูŠูƒ
1888
+
1889
+ 473
1890
+ 00:42:39,500 --> 00:42:43,340
1891
+ ุงู„ู‡ุฏู ุฃูู‡ู… ุงู„ู†ุงุณ ู„ุฃ ูŠุง ู…ุง ุจูƒุชุจ ุฅุฐุง ุทุจูŠุนุชูŠ ู…ุชุนูˆุฏ
1892
+
1893
+ 474
1894
+ 00:42:43,340 --> 00:42:47,320
1895
+ ุนู„ู‰ ูƒุชุงุจุฉ ุจูƒุชุจ ู…ุด ู…ุชุนูˆุฏ ุฃุฎู„ูŠู‡ุง ุนู„ู‰ ุดุฑูŠุท ู…ูˆุฑ ู…ุนุงู‡
1896
+
1897
+ 475
1898
+ 00:42:47,320 --> 00:42:51,700
1899
+ ุงู„ level of significance is also called alpha ู‡ุฐู‡
1900
+
1901
+ 476
1902
+ 00:42:51,700 --> 00:43:00,960
1903
+ ู…ุธุจูˆุทุฉ ู…ุธุจูˆุท ุงู„ significance ู‡ูŠ alpha ุฅุฐุง ุฃู†ุช ุตุญุทุจ
1904
+
1905
+ 477
1906
+ 00:43:00,960 --> 00:43:04,180
1907
+ ุฏู‡ ุฃุณุฃู„ูƒ ุงู„ observed ู„ูˆ ูƒุชุจุช ู‡ู†ุง the observed
1908
+
1909
+ 478
1910
+ 00:43:04,180 --> 00:43:10,380
1911
+ level ุฅูŠุด ุจู†ุณู…ูŠู‡ุŸ the observed significance levelุŸ
1912
+
1913
+ 479
1914
+ 00:43:10,380 --> 00:43:14,780
1915
+ ู…ูŠู†
1916
+
1917
+ 480
1918
+ 00:43:14,780 --> 00:43:17,000
1919
+ ุงู„ observed significance levelุŸ ุฏู‡ ู…ูŠุฒ ู…ู† ุงู„
1920
+
1921
+ 481
1922
+ 00:43:17,000 --> 00:43:20,720
1923
+ significance level ูˆ ุงู„ observed significance
1924
+
1925
+ 482
1926
+ 00:43:20,720 --> 00:43:27,720
1927
+ level ุงู„ B value ุงู„ B value the observed
1928
+
1929
+ 483
1930
+ 00:43:27,720 --> 00:43:31,000
1931
+ significance levelู‡ูˆ ุจูŠุญูƒูŠ ุน ุงู„ significance level
1932
+
1933
+ 484
1934
+ 00:43:31,000 --> 00:43:37,340
1935
+ Alpha ูƒู„ุงู… ุตุญ ุจูŠ significance level is another
1936
+
1937
+ 485
1938
+ 00:43:37,340 --> 00:43:41,000
1939
+ name for type 2 error ู„ุญุธุฉ ุฃู†ุง ูƒู†ุช ุจูŠู‚ูˆู„ type 1
1940
+
1941
+ 486
1942
+ 00:43:41,000 --> 00:43:45,180
1943
+ ุฅุฐุง ู‡ุฐู‡ ุบู„ุท ุฅุฐุง ุงู„ automatic ู‡ุฐู‡ ู…ุด ุตุญ ุทุจ ู†ูƒู…ู„
1944
+
1945
+ 487
1946
+ 00:43:45,180 --> 00:43:49,520
1947
+ ู†ูุณูŠ ุงู†ุง ู…ุงู‚ุฑุนุชุด ู‡ุฐู‡ ู‚ุฑุฃุช C the larger the level
1948
+
1949
+ 488
1950
+ 00:43:49,520 --> 00:43:52,640
1951
+ of significance the more likely you are to reject
1952
+
1953
+ 489
1954
+ 00:43:52,640 --> 00:43:57,000
1955
+ the null hypothesis the
1956
+
1957
+ 490
1958
+ 00:43:57,000 --> 00:44:00,470
1959
+ larger the level of significanceูŠุนู†ูŠ ุงู„ู€ alpha ู„ู…ุง
1960
+
1961
+ 491
1962
+ 00:44:00,470 --> 00:44:04,270
1963
+ ุจุชูƒุจุฑ ู…ุด ุงู„ b value ุงู„ alpha the more likely you
1964
+
1965
+ 492
1966
+ 00:44:04,270 --> 00:44:09,550
1967
+ are to reject ูƒู„ุงู… ุตุญ ู„ุฃู† ู„ู…ุง ุจุชูƒุจุฑ ุจุตูŠุฑ ุงู„ b
1968
+
1969
+ 493
1970
+ 00:44:09,550 --> 00:44:12,990
1971
+ value ุฃุตุบุฑ ู…ู†ู‡ุง ุชุฑูƒุฒูŠ ู…ุนุงูŠุง ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช ุงู„ b
1972
+
1973
+ 494
1974
+ 00:44:12,990 --> 00:44:19,890
1975
+ value equal 104 ูˆ alpha ุจุงู„ุณุงุนุฉ 5% ุนุดุงู† ุงู„ู‚ุฑุงุฑ
1976
+
1977
+ 495
1978
+ 00:44:19,890 --> 00:44:24,890
1979
+ reject ู…ุธุจูˆุท ู„ุฃู†
1980
+
1981
+ 496
1982
+ 00:44:24,890 --> 00:44:30,440
1983
+ ุงู„ b value ุฃู‚ู„ุฎู„ู‘ูŠู†ูŠ ุฃุญูƒูŠ ู‡ุฐู‡ ุจุชุณุงูˆูŠุŒ ู…ุด ูƒุฏู‡ุŒ ุณุชุฉ
1984
+
1985
+ 497
1986
+ 00:44:30,440 --> 00:44:35,980
1987
+ ู…ู† ุฃู„ูุŒ we don't rejectุŒ ู…ุธุจูˆุทุŸ ุทูŠุจุŒ ู‡ูˆ ุฅูŠุด ุจูŠุญูƒูŠุŸ
1988
+
1989
+ 498
1990
+ 00:44:35,980 --> 00:44:39,040
1991
+ the larger the level of significanceุŒ ูŠุนู†ูŠ ุฃู„ูุฉ ู…ุง
1992
+
1993
+ 499
1994
+ 00:44:39,040 --> 00:44:43,700
1995
+ ู„ู‡ุง ุงู„ุฒูŠุฏุŒ ุฎู„ู‘ูŠ ุจูŠุจู‚ู‰ ู„ุฒู…ูŠุฉุŒ ุงู„ุฒูŠุฏ ุฎู„ู‘ูŠู‡ ูŠุนู†ูŠ ู…ุซู„ุง
1996
+
1997
+ 500
1998
+ 00:44:43,700 --> 00:44:49,400
1999
+ ุจุนุดุฑุฉุŒ ุจูŠุตูŠุฑ rejectedุŒ ุฅุฐุง the larger the level of
2000
+
2001
+ 501
2002
+ 00:44:49,400 --> 00:44:54,600
2003
+ significance, the more likely you to rejectุงู„ู„ูŠ
2004
+
2005
+ 502
2006
+ 00:44:54,600 --> 00:44:57,660
2007
+ ุจุนุฏู‡ ุงู„ู€ level of significance is the maximum risk
2008
+
2009
+ 503
2010
+ 00:44:57,660 --> 00:45:01,760
2011
+ we are willing to accept in making type 1 error
2012
+
2013
+ 504
2014
+ 00:45:01,760 --> 00:45:06,480
2015
+ ูƒู„ุงู… ุตุญ ุงู„ level is the maximum risk ุฃูƒุชุฑ ุดูŠุก ู…ู…ูƒู†
2016
+
2017
+ 505
2018
+ 00:45:06,480 --> 00:45:11,760
2019
+ ุฃู‚ุน ููŠ ู…ุฎุงุทุฑุฉ ูŠุง ุจูŠุงุฎุฏ Alpha 5% or less ู‡ุงูŠ ู…ุนู†ุงู‡ุง
2020
+
2021
+ 506
2022
+ 00:45:11,760 --> 00:45:15,840
2023
+ ุฅุฐุง ุงู„ 20 the correct answer is B B ู…ุนู†ุงู‡ุง that is
2024
+
2025
+ 507
2026
+ 00:45:15,840 --> 00:45:21,080
2027
+ not true ุจุงู„ู†ุณุจุงู„ู†ุง ูˆ ุจูŠุญูƒูŠ ู…ูŠู† ู‡ูŠ ู…ุด ุตุญ ุฅุฐุง ุงู„ 20
2028
+
2029
+ 508
2030
+ 00:45:21,080 --> 00:45:27,560
2031
+ ู…ุธุจูˆุทุฉุงู„ู€ 21 ู‡ุงู„ุชู†ุชูŠู†
2032
+
2033
+ 509
2034
+ 00:45:27,560 --> 00:45:32,480
2035
+ ูˆู†ุฎู„ุต ุงู„ู€ 21 type 1 error is committed ูˆูŠู†ุŸ ุงู„
2036
+
2037
+ 510
2038
+ 00:45:32,480 --> 00:45:37,400
2039
+ type 1 error ูˆู‚ุช ุงูŠุด ุจูŠุญุฏุซุŸ ูˆูŠู†ุŸ ู‡ุงูŠ ุงู„ู„ูŠ ุฃู†ุง
2040
+
2041
+ 511
2042
+ 00:45:37,400 --> 00:45:41,180
2043
+ ูƒุชุจู„ูƒ ู‡ูŠ type 1 error ุงู„ type rejected through
2044
+
2045
+ 512
2046
+ 00:45:41,180 --> 00:45:48,960
2047
+ null you rejected through null ุงุฐุง ุงู„ 21 is C the
2048
+
2049
+ 513
2050
+ 00:45:48,960 --> 00:45:52,920
2051
+ correct answerุฃู†ุง ูƒุชุจ ุงู„ุชุนุฑูŠู type one it rejected
2052
+
2053
+ 514
2054
+ 00:45:52,920 --> 00:46:02,160
2055
+ true null hypothesis 22 ุงู„ู„ูŠ ุจุนุฏู‡ if a test of
2056
+
2057
+ 515
2058
+ 00:46:02,160 --> 00:46:06,500
2059
+ hypothesis has a type one error alpha one percent
2060
+
2061
+ 516
2062
+ 00:46:06,500 --> 00:46:11,980
2063
+ it means that ุฅุฐุง
2064
+
2065
+ 517
2066
+ 00:46:11,980 --> 00:46:19,570
2067
+ ุงู„ type one error ุนู†ุฏู‡ probability ู‡ูŠูƒูŠุนู†ูŠ ุงู„
2068
+
2069
+ 518
2070
+ 00:46:19,570 --> 00:46:30,570
2071
+ alpha ุณูˆู‘ุช ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ then if the null is false
2072
+
2073
+ 519
2074
+ 00:46:30,570 --> 00:46:36,770
2075
+ you reject it at one percent of the time ุฅูŠุด
2076
+
2077
+ 520
2078
+ 00:46:36,770 --> 00:46:41,610
2079
+ ุฑุฃูŠูƒู…ุŸ ุฅูŠุด ุงู„ correct answer ุงู„ู„ูŠ ูุงุชุชุŸ ุทู„ุน ุนู„ู‰
2080
+
2081
+ 521
2082
+ 00:46:41,610 --> 00:46:43,090
2083
+ ุงู„ุฃุณุฆู„ุฉ 22 correct answer
2084
+
2085
+ 522
2086
+ 00:46:45,750 --> 00:46:49,770
2087
+ C ุฅูŠุด ุจูŠุญูƒูŠ if the null is true you reject it at
2088
+
2089
+ 523
2090
+ 00:46:49,770 --> 00:46:53,670
2091
+ one person ู„ุญุธุฉ ุฅูŠุด ุญูƒูŠุช reject true-null
2092
+
2093
+ 524
2094
+ 00:46:53,670 --> 00:46:58,730
2095
+ hypothesis ู‡ุงู„ูŠ ุจุฑุงูˆูŠ ู„ุณู‡ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุฅุฐุง if the
2096
+
2097
+ 525
2098
+ 00:46:58,730 --> 00:47:01,770
2099
+ null is true you reject it at one person ุฅุฐุง ู‡ุฐุง
2100
+
2101
+ 526
2102
+ 00:47:01,770 --> 00:47:06,810
2103
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ู‡ุฐุง false ูƒู„ู…ุฉ false ุฅุฐุง correct
2104
+
2105
+ 527
2106
+ 00:47:06,810 --> 00:47:15,150
2107
+ answer is C ุฅุฐุง ู‡ุฐุง C C
2108
+
2109
+ 528
2110
+ 00:47:19,370 --> 00:47:35,910
2111
+ ุงู„ 23 ุณุคุงู„ 23 ุงูŠุด
2112
+
2113
+ 529
2114
+ 00:47:35,910 --> 00:47:41,530
2115
+ ุงู„ quiz 4 ุงู† ุดุงุก ุงู„ู„ู‡ .. ุงู† ุดุงุก ุงู„ู„ู‡ ุญูƒูŠุช ู‚ุจู„
2116
+
2117
+ 530
2118
+ 00:47:41,530 --> 00:47:45,150
2119
+ ู†ุชูŠุฌุฉ ุงู„ quiz ุชุจุน ูŠูˆู… ุงู„ุฃุฑุจุนุฉ ููŠ chapter 9 ู„ุบุงูŠุฉ
2120
+
2121
+ 531
2122
+ 00:47:45,150 --> 00:47:51,500
2123
+ ุงู„ proportionูŠุนู†ูŠ chapter ุชุณุนุฉ ุงู„ู…ูŠู† ุจุณ ุงู„ุณุคุงู„
2124
+
2125
+ 532
2126
+ 00:47:51,500 --> 00:48:00,640
2127
+ ุชู„ุงุชุฉ ูˆุนุดุฑูŠู† for
2128
+
2129
+ 533
2130
+ 00:48:00,640 --> 00:48:03,700
2131
+ a given level of significance if the sample size
2132
+
2133
+ 534
2134
+ 00:48:03,700 --> 00:48:10,480
2135
+ is increased is there any ุฒุงุฏุฉ in increased but
2136
+
2137
+ 535
2138
+ 00:48:10,480 --> 00:48:15,170
2139
+ the summary statistics remain the samethe
2140
+
2141
+ 536
2142
+ 00:48:15,170 --> 00:48:17,850
2143
+ probability of committing type 1 error will
2144
+
2145
+ 537
2146
+ 00:48:17,850 --> 00:48:22,770
2147
+ increase ุจูŠุญูƒูŠ
2148
+
2149
+ 538
2150
+ 00:48:22,770 --> 00:48:29,310
2151
+ ุฅุฐุง ุงู„ N ุฒุงุฏุชุŒ ูƒุจุฑุช ูˆุฎู„ู‚ุช ุงู„ุจุงู‚ู‰ ู„ู„ statistics ุฒูŠ
2152
+
2153
+ 539
2154
+ 00:48:29,310 --> 00:48:33,550
2155
+ ู…ุง ู‡ู…ุง ุงู„ probability of committing type 1 error
2156
+
2157
+ 540
2158
+ 00:48:33,550 --> 00:48:38,810
2159
+ will increase ูŠุนู†ูŠ
2160
+
2161
+ 541
2162
+ 00:48:38,810 --> 00:48:44,610
2163
+ ู†ู‚ู„ ุงู„ 0 ุนู†ุฏู…ุง ูŠูƒูˆู† ุตุญูŠุญุจุชุฒูŠุฏ ูˆ ู„ุง .. ู‡ูˆ ุจุญูƒูŠ ุจุฒูŠุฏ
2164
+
2165
+ 542
2166
+ 00:48:44,610 --> 00:48:49,530
2167
+ ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ probability of committing type I
2168
+
2169
+ 543
2170
+ 00:48:49,530 --> 00:48:53,470
2171
+ overall increase ูŠุนู†ูŠ
2172
+
2173
+ 544
2174
+ 00:48:53,470 --> 00:48:58,190
2175
+ ุงุญุชู…ุงู„ ูˆู‚ูˆุน ููŠ ุงู„ุฎุทุจ ู…ู† ุงู„ุฃูˆู„ ุจุฒูŠุฏ ู„ูˆ N ุฒุงุฏุช ู‡ูŠ
2176
+
2177
+ 545
2178
+ 00:48:58,190 --> 00:49:02,190
2179
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุนูƒุณูŠุฉ ุจุงู„ุชุงู„ูŠ false ุฅุฐุง ุชู„ุงุชุฉ ูˆ
2180
+
2181
+ 546
2182
+ 00:49:02,190 --> 00:49:13,030
2183
+ ุนุดุฑูŠู† false ุฅุฐุง ุชู„ุงุชุฉ ูˆ ุนุดุฑูŠู† B ุงู„ .. ุงู„ ..ู„ู…ุง ุงู„ู€
2184
+
2185
+ 547
2186
+ 00:49:13,030 --> 00:49:16,690
2187
+ N ุจูŠุฒูŠุฏ ุงู„ probability of type I error ุฏุงูŠู…ุงู‹
2188
+
2189
+ 548
2190
+ 00:49:16,690 --> 00:49:23,990
2191
+ ุชุชู‚ู„ู„ ุงู„ู‚ุงุนุฏุฉ ู…ุง ุจูŠู† ุงู„ู€ Alpha ูˆุฅุฐุง ุงู„ู€ N ุฒุงุฏุช
2192
+
2193
+ 549
2194
+ 00:49:23,990 --> 00:49:33,350
2195
+ ูุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุนูƒุณูŠ ุฅุฐุง ุงู„ู€ N ุฒุงุฏุช ุงู„ type I error
2196
+
2197
+ 550
2198
+ 00:49:33,350 --> 00:49:42,030
2199
+ ู…ุงู„ู‡ ุงู„ probability ุชุจุนุชู‡ ุจุชู‚ู„ ุทุจ ุงู„ุจุนุฏู‡ุงุนู„ู‰
2200
+
2201
+ 551
2202
+ 00:49:42,030 --> 00:49:44,030
2203
+ ู…ุฌู…ูˆุนุงุช ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2204
+
2205
+ 552
2206
+ 00:49:44,030 --> 00:49:44,530
2207
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2208
+
2209
+ 553
2210
+ 00:49:44,530 --> 00:49:48,010
2211
+ ู…ุฌุฑุฏ
2212
+
2213
+ 554
2214
+ 00:49:48,010 --> 00:49:50,190
2215
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2216
+
2217
+ 555
2218
+ 00:49:50,190 --> 00:49:50,470
2219
+ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ ู…ุฌุฑุฏ
2220
+
2221
+ 556
2222
+ 00:49:50,470 --> 00:49:55,170
2223
+ ู…ุฌุฑุฏ
2224
+
2225
+ 557
2226
+ 00:50:12,640 --> 00:50:16,440
2227
+ ุงุฎุชูŠ ู…ู† ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† for a given level of
2228
+
2229
+ 558
2230
+ 00:50:16,440 --> 00:50:19,060
2231
+ significance alpha if the sample size is increased
2232
+
2233
+ 559
2234
+ 00:50:19,060 --> 00:50:23,280
2235
+ ุญูƒูŠู†ุง
2236
+
2237
+ 560
2238
+ 00:50:23,280 --> 00:50:29,260
2239
+ ุนู„ูŠู‡ุง ู‚ุจู„ ู‡ูŠูƒ ุนูƒุณู‡ุง ู…ุธุจูˆุท will decrease ู‡ุฏูˆู„ ุงู„
2240
+
2241
+ 561
2242
+ 00:50:29,260 --> 00:50:31,920
2243
+ relationship between alpha ูˆ beta ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ู‚ุจู„
2244
+
2245
+ 562
2246
+ 00:50:31,920 --> 00:50:35,400
2247
+ ู‡ูŠูƒ ุฎู„ุงุต
2248
+
2249
+ 563
2250
+ 00:50:35,400 --> 00:50:38,400
2251
+ ู„ุณู‡ ุชุชุนุฑู ู†ูุณ ุงู„ููƒุฑุฉ
2252
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/hJb_DQoXRBs_postprocess.srt ADDED
@@ -0,0 +1,1440 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:26,610
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุจุฏุฃ ุฃูˆู„
4
+
5
+ 2
6
+ 00:00:26,610 --> 00:00:32,390
7
+ ู„ู‚ุงู‡ ุจุนุฏ ุฑู…ุถุงู† ูุฏุงุฆู…ุง ุฃูˆู„ ู„ู‚ุงู‡ ุจูŠูƒูˆู† ุฎููŠู ูู‡ู†ุงุฎุฏ
8
+
9
+ 3
10
+ 00:00:32,390 --> 00:00:36,310
11
+ ููŠ ู…ูˆุถูˆุน ุณู‡ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ two population proportions
12
+
13
+ 4
14
+ 00:00:36,310 --> 00:00:43,670
15
+ ุจุชุนุฑู ุดุจุทุฑ 9 ูˆุดุจุทุฑ 10 ุญูƒูŠู†ุง ุนู† ุดุบู„ุชูŠู† ู…ู‡ู…ุฉ ุงู„ู„ูŠ ู‡ูŠ
16
+
17
+ 5
18
+ 00:00:43,670 --> 00:00:47,590
19
+ ุงู„ testing about population parameters ุฃุฎุฏู†ุง ุงู„
20
+
21
+ 6
22
+ 00:00:47,590 --> 00:00:51,410
23
+ population mean one population meanูˆุฃุฎุฏู†ุง one
24
+
25
+ 7
26
+ 00:00:51,410 --> 00:00:54,910
27
+ population proportion ุฃุฎุฏู†ุง ููŠ ุดุฑุทุฑ ุชุณุนุฉ ุงู„ู„ูŠ
28
+
29
+ 8
30
+ 00:00:54,910 --> 00:00:58,850
31
+ ุนู…ู„ู†ุงู‡ุง ููŠ ุนุดุฑุฉ ุนู…ู„ู†ุง extension ู„ุดุฑุทุฑ ุชุณุนุฉ ูุฃุฎุฏู†ุง
32
+
33
+ 9
34
+ 00:00:58,850 --> 00:01:02,450
35
+ two population means ูˆุฃุฎุฏู†ุงู‡ู… ุญุงู„ุชูŠู† ุชุฐูƒุฑูˆุง ุงู„ู„ูŠ
36
+
37
+ 10
38
+ 00:01:02,450 --> 00:01:07,190
39
+ ู‡ูˆ ุงู„ independent ูˆ ุงู„ related ูˆ ู‡ุฏูˆู„ ุงุชู†ูŠู† ููŠ
40
+
41
+ 11
42
+ 00:01:07,190 --> 00:01:11,610
43
+ population means ุจูŠู„ุฒู… ูŠูƒูˆู† ุนู†ุฏู‰ ู†ูˆุน ุงู„ุจูŠุงู†ุงุช
44
+
45
+ 12
46
+ 00:01:11,610 --> 00:01:16,890
47
+ quantitative data ุจูŠุงู†ุงุช ูƒู…ูŠุฉ ู„ูˆ ูƒุงู†ุช qualitative
48
+
49
+ 13
50
+ 00:01:16,890 --> 00:01:21,720
51
+ ูŠุนู†ูŠ ุฃุณุฑุฉ ุฒูŠ yes ูˆ no ุจุณุชุฎุฏู…ุงู„ู€ proportions ุณูˆุงุก
52
+
53
+ 14
54
+ 00:01:21,720 --> 00:01:23,800
55
+ ูƒุงู†ุช one population of proportions ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง
56
+
57
+ 15
58
+ 00:01:23,800 --> 00:01:26,660
59
+ ููŠ ุดุฑุทุฉ ุชุณุนุฉ ุฃูˆ two population of proportions ุงุญู†ุง
60
+
61
+ 16
62
+ 00:01:26,660 --> 00:01:31,420
63
+ ู‡ู†ุงุฎุฏู‡ ุงู„ุขู† ูุงู„ุฌูˆู„
64
+
65
+ 17
66
+ 00:01:31,420 --> 00:01:35,980
67
+ test a hypothesis or form confidence interval
68
+
69
+ 18
70
+ 00:01:35,980 --> 00:01:39,280
71
+ usually will skip confidence interval as we
72
+
73
+ 19
74
+ 00:01:39,280 --> 00:01:41,820
75
+ mentioned before so we are going just to test a
76
+
77
+ 20
78
+ 00:01:41,820 --> 00:01:47,160
79
+ hypothesis for the difference betweentwo
80
+
81
+ 21
82
+ 00:01:47,160 --> 00:01:49,360
83
+ population proportions ุฒูŠ ู…ุง ุญูƒูŠู†ุง for the
84
+
85
+ 22
86
+ 00:01:49,360 --> 00:01:52,060
87
+ difference between two population means ู‡ู†ุง ุงุญู†ุง
88
+
89
+ 23
90
+ 00:01:52,060 --> 00:01:57,700
91
+ ู†ุญูƒูŠ ุนู„ู‰ ู†ูุณ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ two population
92
+
93
+ 24
94
+ 00:01:57,700 --> 00:02:04,380
95
+ proportions ูˆุงุถุญ
96
+
97
+ 25
98
+ 00:02:04,380 --> 00:02:07,500
99
+ ูุงู„ two population proportions ุญูƒูŠู†ุง ุงู„ by one
100
+
101
+ 26
102
+ 00:02:07,500 --> 00:02:13,120
103
+ represents the population proportion for
104
+
105
+ 27
106
+ 00:02:13,120 --> 00:02:20,110
107
+ population number oneุงู„ุชุงู†ูŠุฉ ุงู„ู€ bi2 ู…ู…ูŠุฒุฉ ุจุงู„ู†ุณุจุฉ
108
+
109
+ 28
110
+ 00:02:20,110 --> 00:02:26,350
111
+ ู„ู„ุฌู…ู‡ูˆุฑ ุงู„ุซุงู†ูŠ ู„ู„ุฌู…ู‡ูˆุฑ ูˆู†ุญู† ู…ู‡ุชู…ูŠู† ุจุชุฌุงุฑุจ ุงู„ูุฑู‚
112
+
113
+ 29
114
+ 00:02:26,350 --> 00:02:31,350
115
+ ุจูŠู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ุฌู…ู‡ูˆุฑ ุงู„ุฃุณุงู…ูŠู‡ ู‡ูŠ ู†ูุณู‡ุง ุงู„ุชูŠ ู‚ุฏ
116
+
117
+ 30
118
+ 00:02:31,350 --> 00:02:36,990
119
+ ุชุญุฏุซู†ุง ุนู†ู‡ุง ู‚ุจู„ู‡ุง ุงู„ุฃุณุงู…ูŠู‡ ู‡ูŠ N times Y is at
120
+
121
+ 31
122
+ 00:02:36,990 --> 00:02:44,150
123
+ least 5ูˆNร—1-Pi ู‡ูˆ ุฃู‚ู„ ู…ู† 5 ูˆู‡ุฐุง ู„ู„ู…ุฌุชู…ุน ุงู„ุฃูˆู„ุŒ
124
+
125
+ 32
126
+ 00:02:44,150 --> 00:02:49,570
127
+ ูˆู…ุซู„ู‹ุง ู„ู„ู…ุฌุชู…ุน ุงู„ุซุงู†ูŠุŒ ูุงู„ูˆุงุถุญ ุฃู† Nร—Pi1 ู‡ูˆ ุฃู‚ู„ ู…ู†
128
+
129
+ 33
130
+ 00:02:49,570 --> 00:03:00,190
131
+ 5 ูˆNร—1-Pi1 ู‡ูˆ ุฃูŠุถู‹ุง ุฃู‚ู„ ู…ู† 5ุŒ ู‡ุฐุง ู„ุดุฎุต ู†ูุณู‡ ุงู„ุฐูŠ
132
+
133
+ 34
134
+ 00:03:00,190 --> 00:03:04,250
135
+ ูุนู„ู†ุงู‡ ููŠ ุงู„ุญู„ู‚ุฉ 9ูˆู„ูƒู† ู‡ู†ุง ู„ุฏูŠู†ุง ุงุซุงุฑูŠู† ุงุนู†ูŠ ู„ุฏูŠู†ุง
136
+
137
+ 35
138
+ 00:03:04,250 --> 00:03:07,530
139
+ ุงุซุงุฑูŠู† ู…ุฌู…ูˆุนุงุช ู„ุฐุง ู†ุฎุชุงุฑ ุงุซุงุฑูŠู† ู…ุฌู…ูˆุนุงุช ุนุดูˆุงุฆูŠุฉ
140
+
141
+ 36
142
+ 00:03:07,530 --> 00:03:12,950
143
+ ู„ุฐุง ู„ุฏูŠู†ุง ุงุซุงุฑูŠู† ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ููŠ ูˆุงุญุฏุฉ ูˆุงู†ุชูˆุง
144
+
145
+ 37
146
+ 00:03:12,950 --> 00:03:15,930
147
+ ุงุฐุง ุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ุจูŠ ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5
148
+
149
+ 38
150
+ 00:03:15,930 --> 00:03:18,970
151
+ ุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ูˆุงุญุฏุฉ ุงู‚ู„ ุจูŠ ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰
152
+
153
+ 39
154
+ 00:03:18,970 --> 00:03:22,370
155
+ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ุงุชูˆุง ูŠุฌุจ ุฃู†
156
+
157
+ 40
158
+ 00:03:22,370 --> 00:03:24,070
159
+ ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช
160
+
161
+ 41
162
+ 00:03:24,070 --> 00:03:26,790
163
+ ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ู„ 5 ูˆุงู†ุชูˆุง ู…ุฌู…ูˆุนุงุช
164
+
165
+ 42
166
+ 00:03:26,790 --> 00:03:31,620
167
+ ู…ุฌู…ูˆุนุงุช ู…ุฌู…ูˆุนุงุช ุงุชูˆุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃู‚ุฃูŠุถู‹ุง
168
+
169
+ 43
170
+ 00:03:31,620 --> 00:03:36,280
171
+ ู…ุซู„ู‹ุง ูƒู…ุง ุฐูƒุฑู†ุงู‡ ู‚ุจู„ ุฐู„ูƒ ู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
172
+
173
+ 44
174
+ 00:03:36,280 --> 00:03:39,920
175
+ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู…ู‚ุงุฑู†ุฉ ู…ุฌุชู…ุน ูˆุงุญุฏุฉ ูู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ
176
+
177
+ 45
178
+ 00:03:39,920 --> 00:03:46,060
179
+ ู…ุฌุฑุฏ P ุฅุฐุง ูƒู†ุง ู…ู‡ุชู…ูŠู† ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ู…ู‚ุงุฑู†ุฉ ู…ุฌุชู…ุนูŠู†
180
+
181
+ 46
182
+ 00:03:46,060 --> 00:03:54,180
183
+ ุซู… ู…ู‚ุงุฑู†ุฉ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ B1-B2 ูB1-B2 ู‡ูŠ ู…ู‚ุงุฑู†ุฉ
184
+
185
+ 47
186
+ 00:03:54,180 --> 00:03:58,300
187
+ ุงู„ู†ู‚ุทุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ
188
+
189
+ 48
190
+ 00:03:58,300 --> 00:04:09,160
191
+ P1-P2ูˆุฅุฐุง ูƒู†ุง ู†ุชูƒู„ู… ุนู† P2-P1 ู…ุงู‡ูˆ ุงู„ูˆุถุน ู„ู€ P2-P1
192
+
193
+ 49
194
+ 00:04:09,160 --> 00:04:19,480
195
+ P2-P1ุŒ ูP2 ูู‚ุท ุนูƒุณ P2-P1 ูP2-P1 ู‡ูˆ ุงู„ูˆุถุน ู„ู„ู…ุฎุชู„ู
196
+
197
+ 50
198
+ 00:04:19,480 --> 00:04:21,600
199
+ P2-P1
200
+
201
+ 51
202
+ 00:04:26,990 --> 00:04:31,850
203
+ ููŠ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุงู†ูุนุงู„ูŠุฉุŒ ูƒู…ุง ุฐูƒุฑู†ุงุŒ ู„ู„ู…ุฎุชู„ู ุจูŠู†
204
+
205
+ 52
206
+ 00:04:31,850 --> 00:04:36,270
207
+ ุงุชุฌุงุฑุชูŠู† ูŠุนู†ูŠ ุฃู† ููŠ ุงู„ุญูŠูˆุงู†ุงุช ุงู„ุงู†ูุนุงู„ูŠุฉุŒ ู„ุง ูŠูˆุฌุฏ
208
+
209
+ 53
210
+ 00:04:36,270 --> 00:04:41,790
211
+ ุงุฎุชู„ุงู ุจูŠู† ุฃุณุงุณูŠุงุช ุงู„ู‡ุฏุงูŠุง. ุงู„ุขู†ุŒ ู†ุญู† ู…ู‡ุชู…ูˆู†
212
+
213
+ 54
214
+ 00:04:41,790 --> 00:04:47,850
215
+ ุจุงู„ุงุฎุชู„ุงู ุจูŠู† ุงุชุฌุงุฑุชูŠู† ูˆู…ุฌู…ูˆุนุงุช. ู„ุฐู„ูƒ, y1-y2 ู‡ูˆ 0.
216
+
217
+ 55
218
+ 00:04:48,250 --> 00:04:52,270
219
+ ุฃุนู†ูŠ, ุงู„ุงุฎุชู„ุงู ุจูŠู† ู‡ุฐูŠู† ู‡ูˆ 0. ุฃูˆ ู…ุซู„ู‹ุง, ู‡ุฐุง ูŠู…ูƒู†
220
+
221
+ 56
222
+ 00:04:52,270 --> 00:04:58,360
223
+ ุฃู† ูŠูƒูˆู† ูƒุชุงุจ ูƒู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ู„ูŠุณ ู‡ู†ุงูƒ ุงุฎุชู„ุงู ู…ู‡ู… ุจูŠู†
224
+
225
+ 57
226
+ 00:04:58,360 --> 00:05:05,260
227
+ ู…ุฌู…ูˆุนุงุช ุงู„ู†ุงุณ ู…ู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ูˆู†ุณุจุฉ ุงุซู†ู‰. ุงู„ุขู†ุŒ
228
+
229
+ 58
230
+ 00:05:05,260 --> 00:05:08,540
231
+ ู„ู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ุฅู†ุชุฑู†ุช ุฃูˆ ุงู„ุญูŠุจูˆุชุณูŠุฒ ุงู„ุฅู†ุชุฑู†ุช ูƒู…ุง
232
+
233
+ 59
234
+ 00:05:08,540 --> 00:05:14,700
235
+ ุฐูƒุฑุช ู‚ุจู„ู‡ุงุŒ ู‡ู†ุงูƒ ุซู„ุงุซุฉ ู…ุฌู…ูˆุนุงุชุŒ ุฅู…ุง ู…ุฎุชุงุฑูŠู† ุฃูˆ
236
+
237
+ 60
238
+ 00:05:14,700 --> 00:05:19,340
239
+ ู…ุฎุชุงุฑูŠู†ุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ุฃู‚ู„ ู…ู† ู†ุณุจุฉ ุงุซู†ู‰
240
+
241
+ 61
242
+ 00:05:19,340 --> 00:05:23,260
243
+ ู„ูŠุณุช ุฃุฒุฑุนุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู†ุณุจุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู†ุณุจุฉ ุงุซู†ู‰.
244
+
245
+ 62
246
+ 00:05:24,840 --> 00:05:29,820
247
+ ู‡ุฐุง ูŠุณู…ู‰ ุงุฎุชุจุงุฑ ู…ู† ุงู„ุทุฑููŠู† two-sided ุงูˆ two-tailed
248
+
249
+ 63
250
+ 00:05:29,820 --> 00:05:36,920
251
+ ุนู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุขุฎุฑุŒ ู‡ู†ุงูƒ ุงุชูุงู‚ุงุช ู…ุฎุชู„ูุฉ ุงุฎุฑู‰ ูŠุณู…ู‰
252
+
253
+ 64
254
+ 00:05:36,920 --> 00:05:42,000
255
+ upper tail ูˆlower tail ุงู„ู€ upper tail ู‡ูˆ ุจูŠ ูˆุงู†
256
+
257
+ 65
258
+ 00:05:42,000 --> 00:05:47,880
259
+ ุงู‚ู„ ู…ู† ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ
260
+
261
+ 66
262
+ 00:05:47,880 --> 00:05:52,340
263
+ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚
264
+
265
+ 67
266
+ 00:05:52,340 --> 00:05:53,080
267
+ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ
268
+
269
+ 68
270
+ 00:05:53,080 --> 00:05:55,060
271
+ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชูุงู‚ ุจูŠ ุงุชู‡ุฐุง ูŠุณู…ู‰ ุชุฌุงุฑุจ
272
+
273
+ 69
274
+ 00:05:55,060 --> 00:05:59,600
275
+ ุงู„ุฃุนู„ู‰ุŒ ูˆุงุถุญ ุชุฌุงุฑุจ ุงู„ุฃุนู„ู‰ ู„ุฐู„ูƒ ู…ูŠูˆ ูˆุงู† ู…ุงู†ูˆุณ ู…ูŠูˆ
276
+
277
+ 70
278
+ 00:05:59,600 --> 00:06:06,920
279
+ ุงุชูˆ ู…ูุชูˆุญุŒ ูˆู…ุซู„ู‹ุง ู„ูƒู„ ุชุฌุงุฑุจ ุฃุณูู„ ูŠุนู†ูŠ ุจุงูŠ ูˆุงู†
280
+
281
+ 71
282
+ 00:06:06,920 --> 00:06:10,760
283
+ ู…ุงู†ูˆุณ ุจุงูŠ ุงุชูˆ ู…ูุชูˆุญุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ุจุงูŠ ูˆุงู† ุฃุตุบุฑ ู…ู† ุจุงูŠ
284
+
285
+ 72
286
+ 00:06:10,760 --> 00:06:16,260
287
+ ุงุชูˆุŒ ุงู„ุขู† ุชุญุช ุงู„hypothesis ูุฅุฐุง ูƒุงู†ุช ุงู„hypothesis
288
+
289
+ 73
290
+ 00:06:16,260 --> 00:06:21,340
291
+ ุตุญูŠุญุฉุŒููŠ ู†ุธุฑุฉ ุงู„ู€ NULL ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ุงู„ู€ NULL ุตุญูŠุญ
292
+
293
+ 74
294
+ 00:06:21,340 --> 00:06:22,960
295
+ ู„ุฐู„ูƒ ู†ุนุชู…ุฏ ุฃู† ู†ุญู† ู†ุญู† ู†ุนุชู…ุฏ ุฃู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
296
+
297
+ 75
298
+ 00:06:22,960 --> 00:06:25,640
299
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
300
+
301
+ 76
302
+ 00:06:25,640 --> 00:06:28,480
303
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
304
+
305
+ 77
306
+ 00:06:28,480 --> 00:06:28,720
307
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
308
+
309
+ 78
310
+ 00:06:28,720 --> 00:06:45,680
311
+ ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู† ู†ุญู†
312
+
313
+ 79
314
+ 00:06:45,680 --> 00:06:51,750
315
+ ู†ุงู„ู†ุณุจุฉ ุงู„ู…ุฌุงู…ุนุฉ ู„ู„ู…ุฌุชู…ุน ูƒูƒู„ ู†ุณู…ูŠู‡ุง ุจูˆู„ุช ุฃุณุชู…ุชุน
316
+
317
+ 80
318
+ 00:06:51,750 --> 00:06:59,270
319
+ for the overall proportion ุงู„ู‚ุงู†ูˆู†
320
+
321
+ 81
322
+ 00:06:59,270 --> 00:07:06,090
323
+ ุจูŠ ุฏุงุดุช ุจูŠ ุฏุงุดุช equals x1 plus x2 over n1 plus n2
324
+
325
+ 82
326
+ 00:07:06,090 --> 00:07:11,430
327
+ for example suppose I am teaching two classes of
328
+
329
+ 83
330
+ 00:07:11,430 --> 00:07:15,330
331
+ statistics males and females
332
+
333
+ 84
334
+ 00:07:18,360 --> 00:07:22,100
335
+ and suppose the number of males is seventy number
336
+
337
+ 85
338
+ 00:07:22,100 --> 00:07:28,220
339
+ of females is hundred and my question is for each
340
+
341
+ 86
342
+ 00:07:28,220 --> 00:07:32,640
343
+ class do you prefer this courseุŸ ุจุชูุถู„ูˆุง ุงู„ course
344
+
345
+ 87
346
+ 00:07:32,640 --> 00:07:37,500
347
+ ุงู„ู„ูŠ ุญู†ุง ู†ุงุฎุฏู‡ุŒ ู†ูุชุฑุถ for males twenty just prefer
348
+
349
+ 88
350
+ 00:07:37,500 --> 00:07:42,520
351
+ .. ุงู„ุทุจูŠุนูŠ ู…ุด ูƒุฏู‡ุŒ ุงู„ู„ูŠ ุจูุถู„ ู†ูุชุฑุถ ุงู„ู„ูŠ ุญุตู„ุช ุนุดุฑูŠู†
352
+
353
+ 89
354
+ 00:07:42,520 --> 00:07:48,370
355
+ ูˆุงุญุฏ ูˆ ุงู„ุทุงู„ุจุงุช ู†ูุชุฑุถ ุงู„ู„ูŠ ุจูุถู„ ุงุฑุจุนูŠู† ูˆุงุญุฏู†ูุชุฑุถ
356
+
357
+ 90
358
+ 00:07:48,370 --> 00:07:53,050
359
+ ุญุงุฌุฉ ุฒู‰ ูƒุฏู‡ ุงู„ู„ู‰ ู„ูˆ ุนุงูŠุฒ ุงุทู„ุน ุงู„ average ู„ู„
360
+
361
+ 91
362
+ 00:07:53,050 --> 00:07:57,390
363
+ proportion ู„ two classes ู…ุน ุจุนุถ together ุจูŠู†ูุนุด
364
+
365
+ 92
366
+ 00:07:57,390 --> 00:08:01,250
367
+ ุงุญูƒูŠ ุงู„ average ุนุจุงุฑุฉ ุนู† ู…ุฌู…ูˆุนุฉ ุฏูˆู„ ุนู„ู‰ ุงุชู†ูŠู†
368
+
369
+ 93
370
+ 00:08:01,250 --> 00:08:04,570
371
+ ุจูŠู†ูุนุด ุงุญูƒูŠ ุงุฑุจุนูŠู† ุฒูŠ ๏ฟฝ๏ฟฝุชูŠู† ุนู„ู‰ ุงุชูŠู† ุชุทู„ุน ุชู„ุงุชูŠู† ููŠ
372
+
373
+ 94
374
+ 00:08:04,570 --> 00:08:10,370
375
+ ุงู„ู…ูŠู„ูŠุงุŒ ู…ุธุจูˆุทุŸ ู„ุฃู†ู‡ ู…ุด ุฒูŠ ุจุนุถุŒ ุงู„ samples ู…ุด ุฒูŠ
376
+
377
+ 95
378
+ 00:08:10,370 --> 00:08:16,300
379
+ ุจุนุถุŒ ูŠุนู†ูŠ ุจูŠู†ูุนุด ุงุทู„ุน ุฎู„ูŠู†ูŠ ุงุญูƒูŠู‡ุฐุง 35 ุจุณ ุงุบูŠุฑู‡
380
+
381
+ 96
382
+ 00:08:16,300 --> 00:08:25,520
383
+ ุนุดุงู† ู†ุนุฑู ู†ุญุณุจ ุฎู„ู‘ูŠู‡ุง 35 ูƒูˆูŠุณ ู…ุงู†ูุนุด ุงุญูƒูŠ ุทุงู„ุน ุงู„
384
+
385
+ 97
386
+ 00:08:25,520 --> 00:08:32,900
387
+ B1 ุทูŠุจ B1 ุดูˆ ุณุงูˆูŠุŸ X1 over N1 ู…ุด ู‡ูŠุŸ ุงู„ู„ูŠ 50% ูˆ B2
388
+
389
+ 98
390
+ 00:08:32,900 --> 00:08:42,580
391
+ ุงู„ู„ูŠ 4 ุนู„ู‰ 100 ูŠุนู†ูŠ 0.4 ู…ุงู†ูุนุด ุงุญุณุจ ุงู† B1 ู„ู„ูƒู„ุงู„ู€
392
+
393
+ 99
394
+ 00:08:42,580 --> 00:08:47,880
395
+ B' ู„ู„ูƒู„ ู…ุฌู…ูˆุน ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุนู„ู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ ู…ุงู†ูุนุด
396
+
397
+ 100
398
+ 00:08:47,880 --> 00:08:51,200
399
+ ุงุญูƒูŠ ุงู† ุงู„ู€ B' ู†ุณุจุฉ ุงู„ุทู„ุจุฉ ุงู„ู„ูŠ ุจูŠูุถู„ ุงู„
400
+
401
+ 101
402
+ 00:08:51,200 --> 00:08:56,860
403
+ statistics course ุจุชุณุงูˆูŠ ุงุฑุจุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุฒุงุฆุฏ ุงู„
404
+
405
+ 102
406
+ 00:08:56,860 --> 00:09:00,800
407
+ fifty ุนู„ู‰ ุงุชู†ูŠู† ุนู„ู‰ point four five ู‡ุฐุง ุงู„ูƒู„ุงู… ู‡ูŠูƒ
408
+
409
+ 103
410
+ 00:09:00,800 --> 00:09:06,720
411
+ ู…ุด ุตุญูŠุญ ู‡ู†ุนุฑู ููŠ ุญุงู„ุฉ ู…ุนูŠู†ุฉ ู…ู…ูƒู† ูŠูƒูˆู† ุตุญูŠุญ ุทุจ ุงูŠุด
412
+
413
+ 104
414
+ 00:09:06,720 --> 00:09:10,250
415
+ ุงู„ bold estimate ุงู„ู„ูŠ ู‡ู…ู„ู„ู€ overall proportion
416
+
417
+ 105
418
+ 00:09:10,250 --> 00:09:15,910
419
+ ูŠุนุทุงู†ู‰ ูŠุนู†ู‰ ุงู„ู€ B' ุนุจุงุฑุฉ ุนู† ุงูŠุด number of students
420
+
421
+ 106
422
+ 00:09:15,910 --> 00:09:20,890
423
+ who prefer this course either males and females
424
+
425
+ 107
426
+ 00:09:20,890 --> 00:09:24,650
427
+ divided by number of males plus number of females
428
+
429
+ 108
430
+ 00:09:24,650 --> 00:09:32,550
431
+ so for this specific example there are 35 males
432
+
433
+ 109
434
+ 00:09:32,550 --> 00:09:39,930
435
+ and 40 females like this courseSo 35 plus 40
436
+
437
+ 110
438
+ 00:09:39,930 --> 00:09:45,150
439
+ divided by N1 plus N2 N1 is seventy plus a hundred
440
+
441
+ 111
442
+ 00:09:45,150 --> 00:09:51,650
443
+ ุจุทู„ุน ุฎู…ุณุฉ ูˆ ุณุจุนูŠู† ุนู„ู‰ ู…ูŠุฉ ูˆ ุนุดุฑุฉ ู‡ุฐุง
444
+
445
+ 112
446
+ 00:09:51,650 --> 00:09:54,050
447
+ ุงู„ exact proportion ุฎู…ุณุฉ ูˆ ุณุจุนูŠู† ุนู„ู‰ ู…ูŠุฉ ูˆ ุนุดุฑุฉ
448
+
449
+ 113
450
+ 00:09:54,050 --> 00:10:02,430
451
+ ุนู„ู‰ ู…ูŠุฉ ูˆ ุณุจุนูŠู† ุชุทู„ุน ุงุฑุจุน ู…ู† ุนุดุฑุฉ ุชุทู„ุน ุงุฑุจุน ู…ู†
452
+
453
+ 114
454
+ 00:10:02,430 --> 00:10:07,070
455
+ ุนุดุฑุฉ ุจุงู„ุธุจุท ูˆู„ุง ุจุฏู‡ุง ุดู…ูŠุฉ ุทูŠุจ ูˆ ุงู„ุงุฑุจุน ู…ู†ุฒู„ ุงุฑุจุน
456
+
457
+ 115
458
+ 00:10:07,070 --> 00:10:13,420
459
+ ู…ู† ุนุดุฑุฉุจุทู„ุน 44 ู„ุญุธุฉ
460
+
461
+ 116
462
+ 00:10:13,420 --> 00:10:16,440
463
+ ุงู„ู„ูŠ ู‚ูˆู„ู‡ุง ุงุด ุทู„ุนุช 45 ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
464
+
465
+ 117
466
+ 00:10:16,440 --> 00:10:17,060
467
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
468
+
469
+ 118
470
+ 00:10:17,060 --> 00:10:17,340
471
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
472
+
473
+ 119
474
+ 00:10:17,340 --> 00:10:17,980
475
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
476
+
477
+ 120
478
+ 00:10:17,980 --> 00:10:19,560
479
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
480
+
481
+ 121
482
+ 00:10:19,560 --> 00:10:19,960
483
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
484
+
485
+ 122
486
+ 00:10:19,960 --> 00:10:29,960
487
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
488
+
489
+ 123
490
+ 00:10:29,960 --> 00:10:32,460
491
+ ุงุชู†ูŠู†
492
+
493
+ 124
494
+ 00:10:35,930 --> 00:10:39,870
495
+ ุงู„ู€ 70 ู…ู„ูŠูˆู† ูˆุงู„ู€ 70 ู…ู„ูŠูˆู† ู‡ู†ุง ูˆุฌู…ุงุนุชู‡ู… ุจูŠู†ูุน ุฎู„ุงุต
496
+
497
+ 125
498
+ 00:10:39,870 --> 00:10:42,830
499
+ ู‡ุชุจู‚ูˆุง ู†ูุณ ุงู„ุจุนุถ ู„ูƒู† ู„ูˆ ุนู† ุงู„ different sample
500
+
501
+ 126
502
+ 00:10:42,830 --> 00:10:46,850
503
+ sizes the bold estimate for the overall proportion
504
+
505
+ 127
506
+ 00:10:46,850 --> 00:10:50,430
507
+ is given by this equation just some of the
508
+
509
+ 128
510
+ 00:10:50,430 --> 00:10:54,950
511
+ outcomes of interest ุฃู†ุง ู…ู‡ุชู… ุจุงู„ุทู„ุจ ุงู„ู„ูŠ ุจูŠ ..
512
+
513
+ 129
514
+ 00:10:54,950 --> 00:10:58,210
515
+ ุงู„ู„ูŠ ุจูŠุญุจ class ุงู„ statistics ุนู„ู‰ ุงู„ total sample
516
+
517
+ 130
518
+ 00:10:58,210 --> 00:11:01,690
519
+ size ุฎู„ุงุต ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุงู„ุฌูŠุฏ ุจุงู„ู†ุณุจุงู„ูŠ ู„ู†ุง ู†ุณู…ูŠู‡ ุงู„
520
+
521
+ 131
522
+ 00:11:01,690 --> 00:11:05,960
523
+ .. ุงู„ bold estimate ุฒูŠ ู…ุง ุฃุฎุฏู†ุง ู…ูŠู† ู‚ุจู„ ู‡ูŠูƒุงู„ู€
524
+
525
+ 132
526
+ 00:11:05,960 --> 00:11:08,800
527
+ pool variance ุชุฐูƒุฑ ู…ุง ูƒุงู†ุช ุงู„ู€ two samplesุŸ ุทู„ุนู†ุง
528
+
529
+ 133
530
+ 00:11:08,800 --> 00:11:14,420
531
+ ุงู„ pool variance ุงู„ู‚ุงู†ูˆู† ุชุจุนู‡ุŸ ู‡ุฐุง ู†ูุณ ุงู„ุดูŠุก ุงู„ุงู†
532
+
533
+ 134
534
+ 00:11:14,420 --> 00:11:23,520
535
+ ุงู„ Z statistic ุงู„ู„ูŠ ุนู†ุฏู†ุง ุงู„ Z star ุดูƒู„ู‡ ู…ุด ุญู„ูˆ
536
+
537
+ 135
538
+ 00:11:23,520 --> 00:11:30,120
539
+ ุงู„ุดูŠุก ุดูƒู„ ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ุจูŠุดุจู‡ ุจุงู„ุธุจุท ุงู„ Z
540
+
541
+ 136
542
+ 00:11:30,120 --> 00:11:35,740
543
+ score ุงู„ู„ูŠ ุฃุฎุฏู‡ุง ุดุฑุจุฑ 3ุงู„ุงู† ุฏุฑุฌุฉ ุนู„ู‰ ุดุทุฑ 3 ุฎุงู„ุต ุงู„
544
+
545
+ 137
546
+ 00:11:35,740 --> 00:11:40,220
547
+ Z ูƒุงู† ุนุจุงุฑุฉ ุนู† ุงูŠุด ุงู„ X minus ุงู„ mean ุชุจุนู‡ ู…ุด ุงู„
548
+
549
+ 138
550
+ 00:11:40,220 --> 00:11:43,460
551
+ mean ุชุจุนู‡ ุนู„ู‰ ุงู„ standard deviation ุงู„ู„ูŠ ู‡ูˆ ู…ุธู‡ุฑ
552
+
553
+ 139
554
+ 00:11:43,460 --> 00:11:49,000
555
+ ู‡ุฐุง ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ X ู†ู‚ุต X ุจุงุฑ ุนู„ู‰ S ู…ุด ู‡ูŠูƒ
556
+
557
+ 140
558
+ 00:11:49,000 --> 00:11:54,660
559
+ ุฎุฏู†ุง ุดุทุฑ 3 ุงู„ู„ูŠ ุจุญูƒูŠ ุนู†ู‡ ุงู„ูŠูˆู… ู‡ูˆ ู†ูุณู‡ ุจุณ ู…ุนุงู‡
560
+
561
+ 141
562
+ 00:11:54,660 --> 00:11:58,140
563
+ ุงุฎุชู„ุงู ุงูŠุด ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ ุงู†ุง ุนุงูŠุฒ ุงู„ Z stat ู„ู…ูŠู†
564
+
565
+ 142
566
+ 00:12:00,760 --> 00:12:06,100
567
+ ุงู„ู€ difference ุงู„ู„ูŠ ู‡ูˆ P1-P2ุŒ ู‡ุฐุง ุงู„ู€ X ุชุจุนุชูŠ
568
+
569
+ 143
570
+ 00:12:06,100 --> 00:12:10,580
571
+ ูˆุญุงูˆู„ูˆุง ุฃู† ุชูƒูˆู†ูˆุง ุชุจุนุฏ X ู†ู‚ุต 100 ุนู„ู‰ ุงู„ู€ SigmaุŒ ู…ุด
572
+
573
+ 144
574
+ 00:12:10,580 --> 00:12:16,720
575
+ ู‡ูŠุŸ ู†ู‚ุตุŒ ุทูŠุจุŒ ุฅูŠุด ุงู„ู€ mean ู„ู‡ ุฏูˆู„ ู…ู† ุงู„ุฃุตู„ P1-P2ุŒ
576
+
577
+ 145
578
+ 00:12:16,720 --> 00:12:21,740
579
+ ู‡ุฐุง ุงู„ุฃุตู„ ุชุจุนู†ุง ุงู„ู„ูŠ
580
+
581
+ 146
582
+ 00:12:21,740 --> 00:12:25,840
583
+ ุชุญุช ุงู„ู€ standard deviation ุงู„ู€ standard deviation
584
+
585
+ 147
586
+ 00:12:25,840 --> 00:12:37,340
587
+ ู‡ูŠ ุงู„ู‚ุฑู† ุชุจุนู‡ P-1-P-HุฃูŠ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ
588
+
589
+ 148
590
+ 00:12:37,340 --> 00:12:41,640
591
+ ุฏุงุด
592
+
593
+ 149
594
+ 00:12:41,640 --> 00:12:43,140
595
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
596
+
597
+ 150
598
+ 00:12:43,140 --> 00:12:43,180
599
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
600
+
601
+ 151
602
+ 00:12:43,180 --> 00:12:43,260
603
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
604
+
605
+ 152
606
+ 00:12:43,260 --> 00:12:43,300
607
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
608
+
609
+ 153
610
+ 00:12:43,300 --> 00:12:43,720
611
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด
612
+
613
+ 154
614
+ 00:12:43,720 --> 00:12:59,620
615
+ ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ ุฏุงุด ุจูŠ
616
+
617
+ 155
618
+ 00:13:00,030 --> 00:13:04,530
619
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ chapter 9 .. ุฃู‡ chapter 10 ูƒุงู†ุช X1
620
+
621
+ 156
622
+ 00:13:04,530 --> 00:13:08,590
623
+ bar minus X2 bar ู…ุด ู‡ูŠูƒ ุงู„ difference between two
624
+
625
+ 157
626
+ 00:13:08,590 --> 00:13:14,970
627
+ population proportions minus ู…ูŠู† ุงู„ุฃุตู„ ุชุจุนู‡ู… ู…ุธุจูˆุท
628
+
629
+ 158
630
+ 00:13:14,970 --> 00:13:20,170
631
+ ุงู„ู„ูŠ ุฃุฎุฏู‡ุง ู‡ู†ุงูƒ ุญุงู„ุชูŠู† ู„ู…ุง ู†ูƒูˆู† ุงู„ variances are
632
+
633
+ 159
634
+ 00:13:20,170 --> 00:13:23,490
635
+ unknown but we assume they are equal ุฃุฎุฏู†ุง ุงู„ bold
636
+
637
+ 160
638
+ 00:13:23,490 --> 00:13:26,970
639
+ ุชุจุนู‡ู… ู…ุด ู‡ูŠูƒ ู‡ุฐุง ุงู„ bold ู‡ูˆ ู‡ุฐุง ุงู„ bold ุงู„ู„ูŠ ู‡ู†ุง
640
+
641
+ 161
642
+ 00:13:26,970 --> 00:13:29,410
643
+ ู…ุธุจูˆุท
644
+
645
+ 162
646
+ 00:13:30,020 --> 00:13:39,040
647
+ ุงู„ู„ูŠ ู‡ูˆ bold variance ูƒุงู† SยฒB ุจุนุฏูŠู† ู†ูุณ ุงู„ .. ู„ุฃ
648
+
649
+ 163
650
+ 00:13:39,040 --> 00:13:42,920
651
+ ู…ุงููŠุด ุทุฑู‚ ุจุงู„ุงุชู†ูŠู† ุงุฎุชู„ู ุจุณ ุงู†ุง ุจุชูƒู„ู… ู‡ู†ุงูƒ ุนู„ู‰
652
+
653
+ 164
654
+ 00:13:42,920 --> 00:13:48,360
655
+ means ู‡ู†ุง proportions ูุงู„ู…ู‚ุงู… ู‡ูŠุฎุชู„ู ู‡ูŠูƒูˆู† ุงู„ bold
656
+
657
+ 165
658
+ 00:13:48,360 --> 00:13:52,260
659
+ variance ู‡ูŠ ุงู„ู„ูŠ ู‡ูŠูƒูˆู† ุงู„ bold S proportion ุจP'
660
+
661
+ 166
662
+ 00:13:52,620 --> 00:13:58,720
663
+ times 1-P'ุฎู„ุงุต ุทุจุนุง ุงู„ b' ู‡ูŠ ู‚ุงู†ูˆู†ู‡ ูˆ ู‡ูŠ b1 ูˆ ู‡ูŠ
664
+
665
+ 167
666
+ 00:13:58,720 --> 00:14:04,380
667
+ b2 ุงู†ุง ููŠ ุงู„ุงู…ุชุญุงู†ุงุช ุจุนุทูŠูƒ ุงู„ุตูุญู‡ ู‡ุฐู‡ ุจุงู„ูƒุงู…ู„
668
+
669
+ 168
670
+ 00:14:04,380 --> 00:14:09,920
671
+ ู‚ุงู†ูˆู† ู‡ุฐุง ูˆ b' ูˆ b1 ูˆ b2 ุฎู„ุงุต ูŠุนู†ูŠ ููŠ ุงู„ุงู…ุชุญุงู†ุงุช
672
+
673
+ 169
674
+ 00:14:09,920 --> 00:14:13,600
675
+ ุชุจุนู‡ู… ุงู„ุชู„ุงุชุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุจุนุทูŠูƒ formula sheet ุงู„ู‰
676
+
677
+ 170
678
+ 00:14:13,600 --> 00:14:14,780
679
+ chapter 9 ูˆ chapter 10
680
+
681
+ 171
682
+ 00:14:21,690 --> 00:14:25,130
683
+ ู‡ุฏูˆู„ ุงู„ู„ูŠ ุญูƒูŠุช ุนู„ูŠู‡ู… ุงู„ lower tail ูˆ upper tail ูˆ
684
+
685
+ 172
686
+ 00:14:25,130 --> 00:14:30,650
687
+ two-tailed test ุฎู„ุงุต ุดูˆู ุงู„ุจุงุนุฏู‡ุง ุงู„ุงู† ุงู„ู…ู†ุทู‚ุฉ
688
+
689
+ 173
690
+ 00:14:30,650 --> 00:14:35,510
691
+ ุงู„ู„ูŠ ู‡ู†ุง ุจุชุญุฏุฏ ุงู„ rejection regions ู„ูˆ ูƒู†ุช ุนู†ุฏู‰
692
+
693
+ 174
694
+ 00:14:35,510 --> 00:14:38,350
695
+ two-tailed test ู„ูˆ ูƒู†ุช ุนู†ุฏู‰ two rejection regions
696
+
697
+ 175
698
+ 00:14:38,350 --> 00:14:42,270
699
+ ุฅุฐุง ูƒุงู† ุนู†ุฏู‰ level of significance Alpha Alpha
700
+
701
+ 176
702
+ 00:14:42,270 --> 00:14:45,490
703
+ ุชุชุฌุณู… Alpha over two to the right Alpha over two
704
+
705
+ 177
706
+ 00:14:45,490 --> 00:14:49,890
707
+ to the left ู‡ูŠูƒ ู…ุฌู…ูˆุญ ู…ู† Alphaูˆู†ู†ู‚ู„ ุฅุฐุง ู‚ูŠู…ุฉ
708
+
709
+ 178
710
+ 00:14:49,890 --> 00:14:53,430
711
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุชุชุฎู„ุต ู…ู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ Rejection Region ู…ุน
712
+
713
+ 179
714
+ 00:14:53,430 --> 00:14:59,250
715
+ ูƒุฏู‡ ุงู„ู€ Z ู‡ู†ุง ูŠุนู†ูŠ Z ุฃูƒุชุฑ ู…ู† Z ุฃู„ู ุฃูƒุชุฑ ู…ู† 2 ุฃูˆ ููŠ
716
+
717
+ 180
718
+ 00:14:59,250 --> 00:15:02,750
719
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุฃู‚ู„ ู…ู† ู†ู‚ู„ Z ุฃู„ู ุฃูƒุชุฑ ู…ู† 2 ุงู„ูƒู„ุงู…
720
+
721
+ 181
722
+ 00:15:02,750 --> 00:15:05,850
723
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ุฃูˆู„ ููŠ ู†ู‚ุทุฉ ุชุณุนุฉ ู…ูƒุฑุฑุŒ ู‡ุฐุง ุงู„ู€
724
+
725
+ 182
726
+ 00:15:05,850 --> 00:15:10,150
727
+ slide ู‡ูˆ ู†ูุณู‡ุŒ ุจุณ ู‡ู†ุง ุนู„ู‰ ุงู„ู€ Proportions ุงู„ู€
728
+
729
+ 183
730
+ 00:15:10,150 --> 00:15:13,210
731
+ Upper tail ูŠูƒูˆู† ุนู†ุฏูŠ just one rejection region to
732
+
733
+ 184
734
+ 00:15:13,210 --> 00:15:16,530
735
+ the right side ูˆู†ู†ู‚ู„ ุฅุฐุง ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ุชุชุฎู„ุต ู…ู†
736
+
737
+ 185
738
+ 00:15:16,530 --> 00:15:22,240
739
+ ู…ู‚ุงุฑู†ุฉู‡ุฐุง ูŠุนู†ูŠ ุฃู† Z-Stat ุฃูƒุจุฑ ู…ู† Z-Alpha ูˆุฅุฐุง ูƒู†ุง
740
+
741
+ 186
742
+ 00:15:22,240 --> 00:15:26,280
743
+ ู†ุชุญุฏุซ ุนู† ุชู„ุชุงุช ุฃุณูู„ุŒ ุฃุนู†ูŠ ุฅู„ู‰ ุงู„ุฌู‡ุฉ ุงู„ูŠุณุงุฑุฉุŒ ุซู…
744
+
745
+ 187
746
+ 00:15:26,280 --> 00:15:29,880
747
+ ู†ู†ุฌุญ ุฅุฐุง ูƒุงู†ุช ุชุงุฑูŠุฎ Z ูŠ๏ฟฝ๏ฟฝู‚ุท ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ
748
+
749
+ 188
750
+ 00:15:29,880 --> 00:15:34,660
751
+ ุงู„ุชู†ู‚ู„ูŠุฉุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู† Z-Stat ุฃู‚ู„ ู…ู† ู†ู‚ู„ Z-AlphaุŒ
752
+
753
+ 189
754
+ 00:15:34,660 --> 00:15:43,860
755
+ ูˆุงู†ุชุจู‡ ุฅู„ู‰ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉุฃูˆ ูŠู‚ู„ ู‚ูŠู…ุฉ ุงู„ู€ Alpha ูู‚ุท ู…ุน
756
+
757
+ 190
758
+ 00:15:43,860 --> 00:15:48,800
759
+ ุตูŠู†ุฉ ุนูƒุณูŠุฉ ู‡ุฐู‡ ู†ูŠุฌุงุชูŠู‡ ูˆุงู„ุชุงู†ูŠ ู‡ุชูƒูˆู† positive ุฅุฐุง
760
+
761
+ 191
762
+ 00:15:48,800 --> 00:15:58,280
763
+ ูƒู†ุง ู†ุชูƒู„ู… ุนู† 5% Alpha 5 ูู‚ูŠู…ุชู‡ ู‡ูŠ ู†ูŠุฌุงุชูŠู‡ 1.645
764
+
765
+ 192
766
+ 00:15:58,280 --> 00:16:04,520
767
+ ูˆู‡ุฐุง ู‡ูˆ ู†ูุณู‡ ู‡ุฐุง
768
+
769
+ 193
770
+ 00:16:04,520 --> 00:16:12,710
771
+ ุตุญูŠุญ ู„ู€ Alpha5% and for two sided test the alpha
772
+
773
+ 194
774
+ 00:16:12,710 --> 00:16:17,250
775
+ over two ุงูŠุด ุจุชุณุงูˆูŠ ู‡ู†ุง one point nine six
776
+
777
+ 195
778
+ 00:16:17,250 --> 00:16:22,230
779
+ negative one nine six ู„ุงุญุธ ู†ูุณ ุงู„ู‚ูŠู… ุจุณ ุงู„ุงุฎุชู„ุงู
780
+
781
+ 196
782
+ 00:16:22,230 --> 00:16:25,490
783
+ ุงูŠุด positive or negative that's two if alpha
784
+
785
+ 197
786
+ 00:16:25,490 --> 00:16:30,970
787
+ equals five percent questions ุงูŠ ุณุคุงู„ ู„ุญุธุฉ ูƒู„ู‡
788
+
789
+ 198
790
+ 00:16:30,970 --> 00:16:36,030
791
+ ู…ูƒุฑุฑ ุงู†ุชูˆุง ู…ู„ูŠุชู‡ ู…ู†ู‡ ู…ุด ู‡ูŠ ุจุชุนุฑููˆุง ุงุฒุงูŠ ูƒูŠู ูˆุงุญุฏ
792
+
793
+ 199
794
+ 00:16:36,030 --> 00:16:41,790
795
+ ุจูŠุจู†ูŠ ุนู…ุงุฑุฉ ู‡ู†ุงุจูŠุฃุณุณ .. ุจุนุฏูŠู† ุจูŠุจุฏุฃ .. ุงู„ุฃุณุงุณ
796
+
797
+ 200
798
+ 00:16:41,790 --> 00:16:46,330
799
+ ุชุจุนู†ุง chapter 3 ู‡ูˆ ุฃูˆู„ chapter ูˆ chapter 6 ุจุนุฏูŠู†
800
+
801
+ 201
802
+ 00:16:46,330 --> 00:16:51,030
803
+ ุจุนุฏูŠู† ุจูŠุตูŠุฑ ู…ูƒุฑุฑ ู…ุธู„ูˆู… ุทุงุจู‚ ู…ูƒุฑุฑ ุชุงู†ูŠ ุฒูŠ ุงู„ุชุงู„ูŠ ุฒูŠ
804
+
805
+ 202
806
+ 00:16:51,030 --> 00:16:54,350
807
+ ุงู„ุฑุงุจุน ุงู„ู„ูŠ ุฌุงูŠ ุชุจู‚ู‰ ุญุฏ ู…ุง ูŠุฎู„ุต ูุจุงู„ุชุงู„ูŠ ุงู„ุฌุซุฉ
808
+
809
+ 203
810
+ 00:16:54,350 --> 00:16:58,910
811
+ ุตุงุฑุช ู…ูู‡ูˆู…ุฉ ุนุดุงู† ูƒุฏู‡ ู„ูˆ ุงุณุชูˆุนุจุช ุงู„ basic
812
+
813
+ 204
814
+ 00:16:58,910 --> 00:17:01,830
815
+ principles ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ chapter 3 ูˆ chapter
816
+
817
+ 205
818
+ 00:17:01,830 --> 00:17:06,880
819
+ 6ู…ู…ูƒู† ุชูƒูˆู† ุจุงู„ู†ุณุจุงู„ูƒ ุณู‡ู„ุฉ ุจุนุฏูŠู† ู‡ูŠุจู‚ู‰ ุชุดุจุท ุชุณุนุฉ
820
+
821
+ 206
822
+ 00:17:06,880 --> 00:17:11,160
823
+ ุฃูˆู„ ูˆ ุจุนุฏูŠู† ุชุตูŠุฑ ุนู…ู„ูŠุฉ ุชุชูƒุฑุฑ ุนุดุงู† ูƒุฏู‡ ู„ุญุธุฉ ุจุดูƒู„
824
+
825
+ 207
826
+ 00:17:11,160 --> 00:17:15,920
827
+ ุนุงู… ุฅุฐุง ุทุงู„ุน ูุงู‡ู…ู‡ุง ุฎู„ุงุต ุชุตูŠุฑ ุงู„ุนู…ู„ูŠุฉ ุจุงู„ู†ุณุจุงู„ู‡
828
+
829
+ 208
830
+ 00:17:15,920 --> 00:17:26,000
831
+ ุณู‡ู„ุฉ ู†ุงุฎุฏ example ุฑูƒุฒูŠูƒ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ example ุณู‡ู„
832
+
833
+ 209
834
+ 00:17:32,900 --> 00:17:38,320
835
+ ุจุญูƒูŠ is there a significant difference between the
836
+
837
+ 210
838
+ 00:17:38,320 --> 00:17:42,000
839
+ proportion of men and the proportion of women ู„ุญุธุฉ
840
+
841
+ 211
842
+ 00:17:42,000 --> 00:17:49,120
843
+ ุงู„ keywords ู„ู„ู…ุซู„ุฉ ู…ู‡ู… ุฌุฏุง ุฃุนุฑูู‡ุง ู…ูุงุชูŠุญ ุงู„ุณุคุงู„ ููŠ
844
+
845
+ 212
846
+ 00:17:49,120 --> 00:17:54,840
847
+ ุจุนุถ ุงู„ูƒู„ู…ุงุช ุจุชุณู…ูŠู‡ุง ูƒู„ู…ุงุช ู…ูุชุงุญูŠุฉ ุงู„ keywords ู…ู†
848
+
849
+ 213
850
+ 00:17:54,840 --> 00:17:58,300
851
+ ุฎู„ุงู„ู‡ุง ุจุงุนุฑู ุฅูŠุด ุงู„ู‚ุงู†ูˆู† ู‡ุณุชุฎุฏู…ู‡ุง ู„ุฅู† ุฃู†ุง ููŠ
852
+
853
+ 214
854
+ 00:17:58,300 --> 00:18:02,330
855
+ ุงู„ุงู†ุชุญุงุฑ ุจุนุทูŠูƒ ููˆุฑู… ุงู„ุงุดูŠุงุช ุจุณ ุจุญูƒูŠุด ู„ูƒู‡ุฐุง ุงู„ู‚ุงู†ูˆู†
856
+
857
+ 215
858
+ 00:18:02,330 --> 00:18:05,150
859
+ ู„ุณุคุงู„ ุชู„ุงุชุฉ ูˆ ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ู„ุณุคุงู„ ุฃุฑุจุนุฉ ุจุฃุนุทูŠูƒ ุฅูŠุงู‡ู…
860
+
861
+ 216
862
+ 00:18:05,150 --> 00:18:11,730
863
+ ุนู„ู‰ ุจุนุถ ูˆ ุฃู†ุช ู„ุญุงู„ูƒ ุชุฎุชุงุฑ ูŠู…ูƒู† ูŠูƒูˆู† ููŠู‡ู… ุฒูŠุงุฏุฉ ุจุณ
864
+
865
+ 217
866
+ 00:18:11,730 --> 00:18:14,670
867
+ ู…ุงููŠุด ู†ู‚ุต ููŠู‡ู… ู‡ู… ูƒู„ู‡ู… ู…ูˆุฌูˆุฏุฉ ุจุงู„ุชุงู„ูŠ ุงู„ keywords
868
+
869
+ 218
870
+ 00:18:14,670 --> 00:18:20,790
871
+ ุจุชุงุนุชูƒ ู…ู† ุงู„ู…ุซู„ ู†ูุณู‡ ูˆ ุนู„ู‰ ุฅูŠุด ุจูŠุญูƒูŠุŸ ุจูŠุญูƒูŠ ุนู„ู‰
872
+
873
+ 219
874
+ 00:18:20,790 --> 00:18:24,450
875
+ difference ุฃูˆู„ ู…ุง ุจูŠุญูƒูŠ ุนู„ู‰ difference ู…ุน ูƒุฏู‡ ู…ุด
876
+
877
+ 220
878
+ 00:18:24,450 --> 00:18:29,430
879
+ one sample ุฃูƒูŠุฏ two samples ู„ูƒู† ู‡ู„ ู‡ู…ุง means ูˆ ู„ุง
880
+
881
+ 221
882
+ 00:18:29,430 --> 00:18:33,850
883
+ proportionsุŸ ู‡ุญูƒูŠู„ูƒ ุจุชูˆุถูŠุญูŠุนู†ูŠ specific words
884
+
885
+ 222
886
+ 00:18:33,850 --> 00:18:37,090
887
+ between the proportion ุจุชูƒู„ู…ู‡ุง ุนู„ู‰ proportion
888
+
889
+ 223
890
+ 00:18:37,090 --> 00:18:39,990
891
+ ุงู†ุชู‡ุช ุงู„ู‚ุตุฉ ู…ุง ุงู†ุง ูƒุฏู‡ ุงู†ุง ุจุนุทูŠูƒ ุงู„ formula ุดูŠุช ูˆ
892
+
893
+ 224
894
+ 00:18:39,990 --> 00:18:46,750
895
+ ุณู„ุงู…ุชูŠ ู‡ุชุทู„ุนูŠ ุนู„ู‰ ุงู„ู‚ุงู†ูˆู† ุชุจุน ุงู„ proportions ูˆุงุถุญุŸ
896
+
897
+ 225
898
+ 00:18:46,750 --> 00:18:50,930
899
+ ุฅุฐุง ุตุงุฑ ู„ุฅู† ู†ุต ุงู„ุณุคุงู„ ุงู†ุญู„ ุทุงู„ู…ุง ู†ุนุฑูุช ุงู„ู‚ุงู†ูˆู†
900
+
901
+ 226
902
+ 00:18:50,930 --> 00:18:56,930
903
+ ุงู„ุตุญูŠ ุทุจุนุง of men and proportion of women ู‡ูˆ ุงู„
904
+
905
+ 227
906
+ 00:18:56,930 --> 00:19:01,400
907
+ vote yes ู‡ูˆ ุดุฎุต ุฅู…ุง ุจูŠุญูƒูŠ ู†ุนู… ุฃูˆ ุจูŠุญูƒูŠ ู„ุงุทุงู„ู…ุง
908
+
909
+ 228
910
+ 00:19:01,400 --> 00:19:04,060
911
+ ุฃุชูƒู„ู… ู†ุนู…ู„ู‡ ูŠุนู†ูŠ qualitative data ู…ุน ูƒุฏู‡ ุนู†ุฏูŠ
912
+
913
+ 229
914
+ 00:19:04,060 --> 00:19:08,640
915
+ proportions ุจูƒู„ ุชุฃูƒูŠุฏ on a proposition A ููŠ
916
+
917
+ 230
918
+ 00:19:08,640 --> 00:19:12,660
919
+ ุงู†ุชุฎุงุจุงุช ุจุฏูŠ ุฃูŠุฏ party one ูˆ party two ู…ูุชุฑุถ ุงู„
920
+
921
+ 231
922
+ 00:19:12,660 --> 00:19:16,480
923
+ two parties ูˆุงุญุฏุฉ ูˆ ุงู„ุชุงู†ูŠุฉ ู…ู…ูƒู† ุฃูŠุฏ ูุตูŠู„ A ูˆ
924
+
925
+ 232
926
+ 00:19:16,480 --> 00:19:20,900
927
+ ุงู„ุชุงู†ูŠุฉ ุฃูŠุฏ ูุตูŠู„ B ูˆ ู‡ูƒุฐุง in a random sample ุฃุฎุฏ
928
+
929
+ 233
930
+ 00:19:20,900 --> 00:19:27,670
931
+ ุนูŠู†ุฉ ู‚ุดูˆูŠุฉ 36 of 70 menู„ุญุธุฉุŒ ุงุด ุจูŠุญูƒูŠ .. ุณุชุฉ ูˆ
932
+
933
+ 234
934
+ 00:19:27,670 --> 00:19:30,550
935
+ ุชู„ุงุชูŠู† ู…ู† ุงุชู†ูŠู† ูˆ ุณุจุนุฉ ุฑุงุฌู„ and thirty-five of
936
+
937
+ 235
938
+ 00:19:30,550 --> 00:19:35,250
939
+ fifty women indicated they would vote yes ูŠุนู†ูŠ
940
+
941
+ 236
942
+ 00:19:35,250 --> 00:19:44,190
943
+ ุงู„ู„ูŠ ุจุฏูŠู‡ ูŠุญูƒูŠ ู†ุนู… ููŠู‡ ุฃู†ุฏู†ูˆุนูŠู†ุŒ men ูˆ women ุงู„ู…ู†
944
+
945
+ 237
946
+ 00:19:44,190 --> 00:19:52,250
947
+ ูƒุงู†ุช ุฅูŠุด ุนุฏุฏู‡ู…ุŸ seventy-two ููƒุงู† ูˆุงุญุฏ ุญูƒู‰ yesุฃู†ุง
948
+
949
+ 238
950
+ 00:19:52,250 --> 00:19:56,490
951
+ ู…ู‡ุชู… ุจุงู„ู€ 36 ู‡ุฏูˆู„ุŒ ุงู„ู€ 36 of men voted yes ู„ุฃูŠ
952
+
953
+ 239
954
+ 00:19:56,490 --> 00:20:02,390
955
+ proposition ูŠุนู†ูŠ ูˆ ุงู„ women ูƒุงู†ูˆุง ูˆุงุญุฏุฉ ุฎู…ุณูŠู†
956
+
957
+ 240
958
+ 00:20:02,390 --> 00:20:08,070
959
+ ูˆ ู„ุญุงูƒุฉ ู†ุนู… 35 ุฅุฐุง ุฃู†ุง ุฃุฎุฏุช ุงู„ data ู…ู† ู‡ู†ุง ูˆ ูˆุงุถุญ
960
+
961
+ 241
962
+ 00:20:08,070 --> 00:20:16,410
963
+ ูƒูŠู ู‚ุฑุฃุชู‡ุง ูุจุญูƒูŠ test at a five percent level of
964
+
965
+ 242
966
+ 00:20:16,410 --> 00:20:19,930
967
+ significance if there is ู‡ูˆ ุจูŠุณุฃู„ ุงู„ุณุคุงู„ ุงู„ูุฌูˆู‡ is
968
+
969
+ 243
970
+ 00:20:19,930 --> 00:20:23,290
971
+ there a significant differenceูŠุนู†ูŠ ู…ุง ุฃูƒูŠุฏ ู„ูˆ
972
+
973
+ 244
974
+ 00:20:23,290 --> 00:20:25,790
975
+ ูƒุฏุจุชูˆุง ุจุฅู† ุงู„ู„ู‡ hypothesis ุฃูƒูŠุฏ ฯ€ุงูŠ ูˆุงู† equal ุจุงูŠ
976
+
977
+ 245
978
+ 00:20:25,790 --> 00:20:30,750
979
+ ุชูˆู† ุงูˆ ุฅุฐุง ู…ุง ุญูƒูŠุช ุจุงูŠ ูˆุงู† minus ุจุงูŠ ุชูˆู† is dot
980
+
981
+ 246
982
+ 00:20:30,750 --> 00:20:36,010
983
+ zero sorry equals zero equals
984
+
985
+ 247
986
+ 00:20:36,010 --> 00:20:39,370
987
+ zero ุทุจ ุงู„ alternate ุฅูŠุด ู‡ูŠูƒูˆู†ุŸ ู‡ู†ุง ููŠ ุงู„ู…ุซู„ุฉ
988
+
989
+ 248
990
+ 00:20:39,370 --> 00:20:43,670
991
+ ู…ุงุญูƒุงุด ุฃู†ู‡ ุงู„ุฃูˆู„ ุฃุนู„ู‰ ุฃูˆ ุงู„ุฃูˆู„ ุฃู‚ู„ ุจูŠุญูƒูŠ ู‡ู„ ููŠ ูุฑู‚
992
+
993
+ 249
994
+ 00:20:43,670 --> 00:20:50,370
995
+ ูˆู„ุง ู„ุฃุŸ ู…ุง ุฃูƒูŠุฏ ู‡ุงุช two sided ูˆู„ุง one sidedุŸุทุจุนุง
996
+
997
+ 250
998
+ 00:20:50,370 --> 00:20:53,870
999
+ ุงู„ุงุชุฌุงู‡ ู…ุด ูˆุงุถุญ ู…ุงุญูƒุงุด increases ุงูˆ decreases ุงูˆ
1000
+
1001
+ 251
1002
+ 00:20:53,870 --> 00:20:56,530
1003
+ smaller ุงูˆ greater ุงู† ุงู†ุง ุจุญูƒูŠ there is a
1004
+
1005
+ 252
1006
+ 00:20:56,530 --> 00:20:59,510
1007
+ difference ุจุณ ู…ุน ูƒุฏู‡ by one does not equal by two
1008
+
1009
+ 253
1010
+ 00:20:59,510 --> 00:21:06,370
1011
+ ุงุฐุง ู…ุนู†ุงู‡ ุงู† by one minus by two is not zero ุงู†ุง
1012
+
1013
+ 254
1014
+ 00:21:06,370 --> 00:21:12,570
1015
+ ุฃุฎุฏุช ุงู„ู…ุนู„ูˆู…ุฉ ู…ู† ูˆูŠู†ุŸ ู…ู† ุงู„ุณุคุงู„ ู†ูุณูŠ ูุจุญูƒูŠ
1016
+
1017
+ 255
1018
+ 00:21:12,570 --> 00:21:15,170
1019
+ is there a difference ุงูˆ significant difference
1020
+
1021
+ 256
1022
+ 00:21:15,170 --> 00:21:16,230
1023
+ between the proportion
1024
+
1025
+ 257
1026
+ 00:21:19,070 --> 00:21:23,470
1027
+ ุฅุฐุง ู‡ุฐู‡ ุงู„ุฃูˆู„ู‰ ู…ุนู†ุงู‡ุง by one minus by two equals
1028
+
1029
+ 258
1030
+ 00:21:23,470 --> 00:21:29,270
1031
+ zero ุงู„ู…ุนู†ุงู‡ ุฏู‡ two proportions are equal we are
1032
+
1033
+ 259
1034
+ 00:21:29,270 --> 00:21:32,150
1035
+ testing this null hypothesis against alternate
1036
+
1037
+ 260
1038
+ 00:21:32,150 --> 00:21:35,910
1039
+ hypothesis by one minus by two is not zero this
1040
+
1041
+ 261
1042
+ 00:21:35,910 --> 00:21:39,350
1043
+ means there is significant difference between the
1044
+
1045
+ 262
1046
+ 00:21:39,350 --> 00:21:45,050
1047
+ proportions ุจุนุฏ ู…ุง ุฃุนู…ู„ ุญุณุงุจุงุชูŠ ุงู„ุญุณุงุจุงุช ุงู„ุนุงุฏูŠุฉ
1048
+
1049
+ 263
1050
+ 00:21:45,050 --> 00:21:49,720
1051
+ ุจุชุทู„ุน ุงู„ proportion ู„ ุงู„ min ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู…ุงู„ู„ูŠ ู‡ูŠ
1052
+
1053
+ 264
1054
+ 00:21:49,720 --> 00:22:00,000
1055
+ x1 over n1 ุงู„ู„ูŠ ู‡ูŠ 36 over 72 ู‡ุฐู‡ 50% ุงู„
1056
+
1057
+ 265
1058
+ 00:22:00,000 --> 00:22:07,440
1059
+ proportion ู„ู„ women who voted yes is x2 over n2 35
1060
+
1061
+ 266
1062
+ 00:22:07,440 --> 00:22:14,960
1063
+ ุนู„ู‰ 50 70% ุดูˆููˆุง ุฒูŠ ู…ุง ุญูƒูŠุช ู…ู† ุงู„ุฃูˆู„ ู…ู†ูุนุด ุฃุทู„ุน ุงู„
1064
+
1065
+ 267
1066
+ 00:22:14,960 --> 00:22:17,360
1067
+ B' ุฃุฌู…ุญู‡ู…
1068
+
1069
+ 268
1070
+ 00:22:18,980 --> 00:22:23,600
1071
+ ูˆ ุงุฌุณู…ู‡ุง ุงุชู†ูŠู† ูŠุนู†ูŠ ุณุชุฉ ู…ู† ุนุดุฑ ู‡ูŠ ุฏูŠ ู…ุด ุตุญ ุญุชู‰ ูˆุฅู†
1072
+
1073
+ 269
1074
+ 00:22:23,600 --> 00:22:26,660
1075
+ ูƒุงู†ุช ู‚ุฑูŠุจุฉ ู„ู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุงู†ุง ุนุงูŠุฒู‡ุง ู„ูŠุดุŸ ู„ุฃู† ุงู„
1076
+
1077
+ 270
1078
+ 00:22:26,660 --> 00:22:31,180
1079
+ sample sizes ู…ุงู„ู‡ู… ุฒูŠ ุจุนุถ ู„ูˆ ุฒูŠ ุจุนุถ ุงู†ุง ู…ุงููŠุด
1080
+
1081
+ 271
1082
+ 00:22:31,180 --> 00:22:35,860
1083
+ ู…ุดูƒู„ุฉ ูุจุทู„ุน ุงู„ bold estimate for the overall
1084
+
1085
+ 272
1086
+ 00:22:35,860 --> 00:22:42,660
1087
+ proportion ู‡ูŠ B' ู„ูŠู‡ X1 plus X2 over N1 plus N2
1088
+
1089
+ 273
1090
+ 00:22:45,810 --> 00:22:55,350
1091
+ Lix is 35 and 70 sorry 71 the total over n1 plus
1092
+
1093
+ 274
1094
+ 00:22:55,350 --> 00:23:05,270
1095
+ n2 is 72 plus 50 is 122 ู…ุฌุฑุณ ู…ูˆุงุญุณ ุจูŠู† 122 ููŠ 958
1096
+
1097
+ 275
1098
+ 00:23:05,270 --> 00:23:08,590
1099
+ ู‡ุฐู‡
1100
+
1101
+ 276
1102
+ 00:23:08,590 --> 00:23:12,750
1103
+ ุงู„ู€ exact proportion ู‡ุฐู‡ ู…ุด ุนุงูŠุฒูŠู†ู‡ุง
1104
+
1105
+ 277
1106
+ 00:23:16,610 --> 00:23:20,370
1107
+ ุฃู†ุง ุจุนู…ู„ computations, calculations ุนุดุงู† ุฃุณุชุทูŠุน ุงู„
1108
+
1109
+ 278
1110
+ 00:23:20,370 --> 00:23:26,970
1111
+ Z statistic ุงู„ู„ูŠ ู‡ู†ุง just plug these values into
1112
+
1113
+ 279
1114
+ 00:23:26,970 --> 00:23:33,290
1115
+ this formula to get the value of Z statistic ูZ
1116
+
1117
+ 280
1118
+ 00:23:33,290 --> 00:23:38,530
1119
+ ู‡ุชุณุงูˆูŠ ุจูŠ ูˆู† ุฏุงุดุช
1120
+
1121
+ 281
1122
+ 00:23:38,530 --> 00:23:41,150
1123
+ ู…ุงู†ุณ ุจูŠ ุชูˆุฏุง ุจูŠ ูˆู† ุงูˆ ุจูŠ ูˆู† just ุจูŠ ูˆู†
1124
+
1125
+ 282
1126
+ 00:23:45,420 --> 00:23:54,280
1127
+ ุจ1.5-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0
1128
+
1129
+ 283
1130
+ 00:23:54,280 --> 00:23:57,860
1131
+ .7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7
1132
+
1133
+ 284
1134
+ 00:23:57,860 --> 00:23:58,000
1135
+ -0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0
1136
+
1137
+ 285
1138
+ 00:23:58,000 --> 00:24:00,980
1139
+ .7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7-0.7
1140
+
1141
+ 286
1142
+ 00:24:00,980 --> 00:24:02,360
1143
+ -0.7-0.7-0.7-0.7-0.7-0.7
1144
+
1145
+ 287
1146
+ 00:24:15,590 --> 00:24:24,650
1147
+ ุซู… ุชุฒูŠุฏ ู…ู† 1 ุนู„ู‰ N1 ูˆู‡ูˆ 72 plus 1 over 50 ุงู„ู„ูŠ
1148
+
1149
+ 288
1150
+ 00:24:24,650 --> 00:24:30,050
1151
+ ู„ู…ุง ุชูŠุฌูŠ ุชุญุณุจ ุงู„ุญุณุงุจุงุช ุจุฏุฃ ุดูˆูŠู‡ ุงู„ุตุจุฑ ุชุญุณุจ ููŠ
1152
+
1153
+ 289
1154
+ 00:24:30,050 --> 00:24:35,650
1155
+ ุงู„ุฃูˆู„ ุงู„ู…ู‚ุงู… ุชุงุฎุฏ ุงู„ square root ุชู†ุณูŠุด ุงู„ square
1156
+
1157
+ 290
1158
+ 00:24:35,650 --> 00:24:39,590
1159
+ root ุจุนุฏูŠู† ุชุฌุณู… ุงู„ูุฑู‚ ุงู„ู„ูŠ ู‡ู†ุง ุนู„ู‰ ุงู„ square root
1160
+
1161
+ 291
1162
+ 00:24:39,590 --> 00:24:47,250
1163
+ ู„ูˆ ุฃุดุชุบู„ุช ุตุญ ุงู„ job negative2.1 ุฏุงูŠู…ุง ูŠูƒูˆู† ู‡ู†ุง
1164
+
1165
+ 292
1166
+ 00:24:47,250 --> 00:24:51,590
1167
+ index sense ู„ู„ุฅุฌุงุจุฉ ุงู„ู„ู‰ ุจุชุทู„ุน ูŠุนู†ูŠ ุงู„ proportion
1168
+
1169
+ 293
1170
+ 00:24:51,590 --> 00:24:55,890
1171
+ ุฃูˆู„ู‰ 50 ูˆุงู„ุชุงู†ู‰ ุงู„ 70 ุฃูƒูŠุฏ ุงู„ุฌูˆุงุจ ู‡ูŠุชุทู„ุน ุจุงู„
1172
+
1173
+ 294
1174
+ 00:24:55,890 --> 00:25:02,030
1175
+ negative ู…ุธุจูˆุทุŸ ู„ุฅู† ุทุงู„ู…ุง ุฃู‡ุฏ ุงู„ 50% ูˆ ุฃู‡ุฏ ุงู„ 70
1176
+
1177
+ 295
1178
+ 00:25:02,030 --> 00:25:05,670
1179
+ ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃู† ุงู†ุง ูˆ ุงู†ุง ู…ูˆุฌูˆุฏ ู„ุฃู† ุงู„ B1 ุฃู‚ู„ ู…ู† ุงู„
1180
+
1181
+ 296
1182
+ 00:25:05,670 --> 00:25:09,180
1183
+ B2 ู…ุน ูƒุฏู‡ ุงู„ุฌูˆุงุจ ู„ุงุฒู… ูŠุทู„ุน ู…ุนุงู‡ ุจุงู„ negativeุฃู†ุง
1184
+
1185
+ 297
1186
+ 00:25:09,180 --> 00:25:12,640
1187
+ ุฎุจุฑุชูƒ ุงู„ุฅุดุงุฑุฉ ู…ู…ูƒู† ุชุฎุฑุจ ู…ุด ุจุงู‚ูŠ ุงู„ู…ุซู„ุฉุŒ ูˆุงุถุญุŸ
1188
+
1189
+ 298
1190
+ 00:25:12,640 --> 00:25:16,080
1191
+ ุจุงู„ุฐุงุช ู„ูˆ ูƒุงู† multiple choice ุงุญูƒูŠู„ูƒ ุจุงู„ู†ุณุจุฉ
1192
+
1193
+ 299
1194
+ 00:25:16,080 --> 00:25:19,800
1195
+ ู„ุฅูŠุฌุงุจุชูƒ ููŠ ุจูŠู‡ุŒ ููŠ ุงูŠู‡ุŒ ููŠ ูˆุงุญุฏุŒ ุฅูŠุด ุฅูŠุฌุงุจุชูƒ ููŠ
1196
+
1197
+ 300
1198
+ 00:25:19,800 --> 00:25:23,080
1199
+ ุงู„ู„ูŠ ุจุนุฏู‡ุŒ ูˆุงุถุญ ุจุงุฎุชู„ูุŒ ุจุงู„ุชุงู„ูŠ ู„ูˆ ุฃู†ุง ุบู„ุทุช ุฑุจู…ุง
1200
+
1201
+ 301
1202
+ 00:25:23,080 --> 00:25:26,320
1203
+ ููŠ ุงู„ุฅุดุงุฑุฉ ุงู„ู„ูŠ ู‡ู†ุงุŒ ุทูŠุฑ ุงู„ู…ุซู„ุฉุŒ ูˆุงุถุญุŸ
1204
+
1205
+ 302
1206
+ 00:25:30,580 --> 00:25:34,540
1207
+ ุงู„ุฎุทูˆุฉ ุงู„ุชุงู„ูŠุฉ ู…ู‡ู…ุฉ ุฌุฏุง ุชุทู„ุน ู„ู€ Critical values
1208
+
1209
+ 303
1210
+ 00:25:34,540 --> 00:25:38,000
1211
+ ู‡ู†ุง ู†ุชุญุฏุซ ุนู† ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1212
+
1213
+ 304
1214
+ 00:25:38,000 --> 00:25:38,080
1215
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1216
+
1217
+ 305
1218
+ 00:25:38,080 --> 00:25:38,700
1219
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1220
+
1221
+ 306
1222
+ 00:25:38,700 --> 00:25:41,080
1223
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1224
+
1225
+ 307
1226
+ 00:25:41,080 --> 00:25:41,360
1227
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1228
+
1229
+ 308
1230
+ 00:25:41,360 --> 00:25:42,980
1231
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1232
+
1233
+ 309
1234
+ 00:25:42,980 --> 00:25:48,160
1235
+ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ ุงุชุตุงู„ูŠู† ุงูˆ
1236
+
1237
+ 310
1238
+ 00:25:48,160 --> 00:25:56,360
1239
+ ุงุชุตุงู„ูŠู† ุงูˆ
1240
+
1241
+ 311
1242
+ 00:25:56,360 --> 00:26:01,600
1243
+ ุงู‡ุคู„ุงุก ู‡ู… ุงู„ู‚ูŠู… ุงู„ุฑุฆูŠุณูŠุฉ ูู‡ุฐุง ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ู‚ูŠู…
1244
+
1245
+ 312
1246
+ 00:26:01,600 --> 00:26:08,140
1247
+ ุงู„ุงู†ุชุฌุงุฑ ุชุณู‚ุท ููŠ ุฃุนู„ู‰ ุญุงุฌุฉ ุงู„ุทุฑู ุงู„ุฃูŠู…ู† ูŠุนู†ูŠ ุฅุฐุง
1248
+
1249
+ 313
1250
+ 00:26:08,140 --> 00:26:13,060
1251
+ ูƒุงู† ุงู„ู‚ูŠู… ุฃูƒุจุฑ ู…ู† 196 ุฃูˆ ุฅู„ู‰ ุงู„ุฌุงู†ุจ ุงู„ุฃุณูู„ ุฃู‚ู„ ู…ู†
1252
+
1253
+ 314
1254
+ 00:26:13,060 --> 00:26:20,480
1255
+ ู†ู‚ู„ 1.96 ุซู… ู†ู†ูุฐ ุงู„ู‡ูŠุจูˆุทูŠุฒ ุงู„ุงู† ู‡ู„ ู‡ุฐุง ุงู„ู‚ูŠู… ุชุณู‚ุท
1256
+
1257
+ 315
1258
+ 00:26:20,480 --> 00:26:25,160
1259
+ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฑุฆูŠุณูŠุฉุŸ ูˆุงุถุญ ู…ูˆุฌูˆุฏ ู‡ู†ุง ู…ุด ู‡ูŠูƒู…ุน ูƒุฏู‡
1260
+
1261
+ 316
1262
+ 00:26:25,160 --> 00:26:29,920
1263
+ ููŠ ุงู„ rejection ุฅุฐุง ุงู„ decision reject the null
1264
+
1265
+ 317
1266
+ 00:26:29,920 --> 00:26:36,300
1267
+ hypothesis ุฅุฐุง ุงู„ decision reject ุงู„ zero this
1268
+
1269
+ 318
1270
+ 00:26:36,300 --> 00:26:39,360
1271
+ means there is evidence of a significant
1272
+
1273
+ 319
1274
+ 00:26:39,360 --> 00:26:42,480
1275
+ difference in the proportion of men and women ููŠ
1276
+
1277
+ 320
1278
+ 00:26:42,480 --> 00:26:46,940
1279
+ ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ูŠุนู†ูŠ ู‡ุฐุง ู…ุนู†ุงู‡ ุงู„ conclusion ุชุจุนูŠ
1280
+
1281
+ 321
1282
+ 00:26:46,940 --> 00:26:51,820
1283
+ ุงู† by one does not equal by two ูŠุนู†ูŠ ู†ุณุจุฉ ุงู„ุฑุฌุงู„
1284
+
1285
+ 322
1286
+ 00:26:51,820 --> 00:26:59,100
1287
+ ุญูƒูˆุง ู†ุนู… ุชุฎุชู„ูุทุจ ู„ูˆ ุนุงูŠุฒ ุฃุนู…ู„ testing ูˆ ุฃุนุฑู ู…ุง
1288
+
1289
+ 323
1290
+ 00:26:59,100 --> 00:27:04,080
1291
+ ุฅุฐุง ูƒุงู† ุงู„
1292
+
1293
+ 324
1294
+ 00:27:04,080 --> 00:27:10,420
1295
+ B1 smaller than B2 ูˆ ู„ุง B1 smaller than B2 ุงู„ุขู† ู…ุด
1296
+
1297
+ 325
1298
+ 00:27:10,420 --> 00:27:15,580
1299
+ ู‡ูŠุฎุชู„ู ููŠ ูƒู„ ุงู„ุญู„ุŒ ุฅูŠุด ุจุชุฎุชู„ูุŸ ุฃุณู…ุน ู…ู† ูˆุงุญุฏุฉ ุจุณ ุจุณ
1300
+
1301
+ 326
1302
+ 00:27:15,580 --> 00:27:21,440
1303
+ ุงู„ critical value ุจุฏู„ two-sidedุŒ ู†ุฑุฌุน ุชุงู†ูŠุฉุŒ ู‡ูƒูˆู†
1304
+
1305
+ 327
1306
+ 00:27:21,440 --> 00:27:25,170
1307
+ ุนู†ุฏูŠ lower tail testุŒ ู‡ูƒูˆู† ูˆุงุญุฏุฉ ุจุณ ุนู„ู‰ ุงู„ุดู…ุงู„ูููŠ
1308
+
1309
+ 328
1310
+ 00:27:25,170 --> 00:27:31,170
1311
+ ุงู„ู…ุซู„ุฉ ู‡ูŠ ุฏูŠ ุจุณ ุงู„ุงุฎุชู„ุงู ููŠ ูƒู„ ุงู„ุญู„ ู‡ูƒูˆู† ุนู†ุฏู‡ุง
1312
+
1313
+ 329
1314
+ 00:27:31,170 --> 00:27:39,610
1315
+ ู…ูˆุฌุฉ ูˆู„ุง ุณุงู„ุจุŸ ุณุงู„ุจ negative ูƒุฏู‡ุดุŸ six over five
1316
+
1317
+ 330
1318
+ 00:27:39,610 --> 00:27:45,290
1319
+ ู…ุด ู‡ูŠูƒุŸ and five percent ู…ุฌุณู…ุด ุนู„ู‰ ุงุชู†ูŠู† ู…ุธุจูˆุทุŸ
1320
+
1321
+ 331
1322
+ 00:27:45,290 --> 00:27:49,930
1323
+ ูŠุนู†ูŠ ุงู†ุง ุญูƒูŠุช ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ู„ูˆ ุงู„ุณุคุงู„ ููŠ ุฃุตู„ู‡ ู…ุด
1324
+
1325
+ 332
1326
+ 00:27:49,930 --> 00:27:54,120
1327
+ ูƒุงู† by one does not equal by two ู…ุด ู‡ูŠูƒุŸู‡ูŠูƒ ุงู„ุญุงู„ุฉ
1328
+
1329
+ 333
1330
+ 00:27:54,120 --> 00:27:58,780
1331
+ ุงู„ุตุญ ู‡ู†ุฎู„ุตู‡ุง ู„ูˆ ุงูุชุฑุถ ุบูŠุฑุช ุงู„ู…ุซู„ุฉ ุจุฏู„ by one does
1332
+
1333
+ 334
1334
+ 00:27:58,780 --> 00:28:02,300
1335
+ not equal by two ุตุงุฑุช by one ุฃู‚ู„ ู…ู† by .. ุญุฏุฏุชู‡ุง
1336
+
1337
+ 335
1338
+ 00:28:02,300 --> 00:28:05,200
1339
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุทุจ ู…ุด ุตุญูŠุญ ุฃุญุฏุฏู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจูƒูˆู† ุบุจูŠ
1340
+
1341
+ 336
1342
+ 00:28:05,200 --> 00:28:09,620
1343
+ ู„ูˆ ุญุฏุฏุชู‡ุง ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ู…ุธู‡ุฑุŸ ู„ูŠุดุŸ ุงู„ู„ูŠ ุจุชุถุญูƒ ุฅูŠู‡
1344
+
1345
+ 337
1346
+ 00:28:09,620 --> 00:28:16,300
1347
+ ุฃู†ุชุŸ ู„ูŠุด ุบู„ุท ุงู„ุณุคุงู„ุŸ ู„ูŠุด ู„ูˆ ุญูƒูŠุช by oneุŸ ู„ุฃู†ู‡
1348
+
1349
+ 338
1350
+ 00:28:16,300 --> 00:28:22,980
1351
+ ู…ู…ูƒู†ุด ูŠูƒูˆู† .. ู…ู…ูƒู†ุด ูˆุงุญุฏ ูŠ .. ูŠุณูˆูŠ .. ูŠ .. ูŠ .. ูŠ
1352
+
1353
+ 339
1354
+ 00:28:22,980 --> 00:28:23,060
1355
+ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ
1356
+
1357
+ 340
1358
+ 00:28:23,060 --> 00:28:24,450
1359
+ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ .. ูŠ ..ู…ุด ุจุฏู‡
1360
+
1361
+ 341
1362
+ 00:28:24,450 --> 00:28:29,830
1363
+ ุงุญูƒูƒ ุทุงู„ุน ู…ุงู†ูˆุด ู…ุนู†ู‰ ู…ุง ู‡ูŠ ุงู„ู…ุดูƒู„ุฉ ุฃู†ุง ุงู„ู…ูุฑูˆุถ ุงู†ุง
1364
+
1365
+ 342
1366
+ 00:28:29,830 --> 00:28:35,330
1367
+ ุงุญุงูƒูƒ ู„ู‡ุง ุนู„ู‰ ูู‡ู… ุงู†ุง
1368
+
1369
+ 343
1370
+ 00:28:35,330 --> 00:28:39,650
1371
+ ุณุคุงู„ูƒ ู‡ุงู„ุชุงู„ุฉ ู…ุฑุฉ ุชุงู†ูŠุฉ ู„ูŠุด ู…ู† ุงู„ุบุจุงุก ุจุฃูƒุฏ ุนู„ูŠู‡ุง
1372
+
1373
+ 344
1374
+ 00:28:39,650 --> 00:28:45,950
1375
+ ู…ู† ุงู„ุบุจุงุก ุงู†ูƒ ุชุญูƒูŠ by one ุงูƒุจุฑ ู…ู† by two ุงู„ุณุจุจ
1376
+
1377
+ 345
1378
+ 00:28:48,450 --> 00:28:52,730
1379
+ ู„ุฃู† ุงู„ู€ B1 ุฃู‚ู„ ู…ู† ุงู„ู€ B2 ู‡ุฐู‡ ุงู„ู€ 51 ูˆ ุงู„ู€ 70
1380
+
1381
+ 346
1382
+ 00:28:52,730 --> 00:28:56,450
1383
+ ูุจุงู„ุชุงู„ูŠ ู…ุด ู…ู†ุทู‚ูŠ ูŠุนู†ูŠ it doesn't make any sense
1384
+
1385
+ 347
1386
+ 00:28:56,450 --> 00:29:00,190
1387
+ if you state the alternative B1 greater than B2
1388
+
1389
+ 348
1390
+ 00:29:00,190 --> 00:29:05,630
1391
+ ู‡ุชูƒูˆู† ุฃู‚ู„ ู…ู† B2 ูˆุงุถุญุŸ ุทุจุนุง ู„ูŠุด ุงู„ุญุงุฌุฉ ูŠุฎุชู„ู ุจุณ ุงู„
1392
+
1393
+ 349
1394
+ 00:29:05,630 --> 00:29:10,850
1395
+ critical value ู‡ุชูƒูˆู† ุจุณ ุนู†ุฏ Z ฮฑุŒ negative Z ฮฑ ูˆู„ูˆ
1396
+
1397
+ 350
1398
+ 00:29:10,850 --> 00:29:14,530
1399
+ ุชูƒูˆู† Alpha 5% ุจุชุทู„ุนู‡ุง ุจุงู„ุฌูˆุงุจ ู…ู† ุงู„ tables
1400
+
1401
+ 351
1402
+ 00:29:14,530 --> 00:29:19,710
1403
+ negative 1.645Now is this value again for the
1404
+
1405
+ 352
1406
+ 00:29:19,710 --> 00:29:24,370
1407
+ rejection regionุŸ ูˆุงุถุญุŒ ู…ูˆุฌูˆุฏุŒ ูŠุนู†ูŠ ู…ุธุจูˆุทุŸ ุฅุฐุง
1408
+
1409
+ 353
1410
+ 00:29:24,370 --> 00:29:27,290
1411
+ ุจุฑุถู‡ we rejected on hypothesis ู…ุน ูƒุฏู‡ ุงู„ buy one
1412
+
1413
+ 354
1414
+ 00:29:27,290 --> 00:29:31,290
1415
+ ู…ุงู„ู‡ ุฃู‚ู„ ู…ู† buy two ู…ุน ูƒุฏู‡ ุงู„ proportion ู„ู„ men
1416
+
1417
+ 355
1418
+ 00:29:31,290 --> 00:29:35,730
1419
+ ุงู„ู„ูŠ ุญูƒูˆุง yes ู†ุณุจุชู‡ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุงู„ proportion
1420
+
1421
+ 356
1422
+ 00:29:35,730 --> 00:29:39,730
1423
+ ุงู„ู„ูŠ ุญูƒูˆุง ู„ู„ women ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู… ูŠุนู†ูŠ ุงู„ุฑุฌุงู„ ุญูƒูˆุง
1424
+
1425
+ 357
1426
+ 00:29:39,730 --> 00:29:45,930
1427
+ ู†ุนู… ุฃู‚ู„ ู…ู† ู†ุณุจุฉ ุงู„ู†ุณุงุก ุงู„ู„ูŠ ุญูƒูˆุง ู†ุนู… ูˆุงุถุญุŸ ููŠ ุฃูŠ
1428
+
1429
+ 358
1430
+ 00:29:45,930 --> 00:29:52,400
1431
+ ุณุคุงู„ุŸุฅู„ุง ุจุนุฏ ู‡ูŠ ู…ุงููŠุด ุฎู„ุตุฉ ุงู„ุดุจุทุฉุŒ ุงู„ุดุจุทุฉ ุนุดุงู† ูƒุฏู‡
1432
+
1433
+ 359
1434
+ 00:29:52,400 --> 00:29:59,920
1435
+ ุฎู„ุตุŒ ุจุณ ู„ุบุงูŠุฉ ู‡ู†ุง ุงู„ุดุจุทุฉ ุนุดุงู† ุฎู„ุตุŒ ุฃูŠ ุณุคุงู„ุŒ ุงู„ู„ู‡ู…
1436
+
1437
+ 360
1438
+ 00:29:59,920 --> 00:30:00,520
1439
+ ุชูƒุจุฑ ุนุงููŠุฉ
1440
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/kU4kuUZNOI8.srt ADDED
@@ -0,0 +1,1669 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,670 --> 00:00:24,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃูƒู…ู„
4
+
5
+ 2
6
+ 00:00:24,870 --> 00:00:33,930
7
+ ู…ู‚ุงู„ุงุช ุงู„ุชุบูŠูŠุฑ ุณุฃุจุฏุฃ ู…ุน ู…ู‚ุงู„ุฉ ุงู„ุชุบูŠูŠุฑ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ
8
+
9
+ 3
10
+ 00:00:33,930 --> 00:00:39,310
11
+ ู‡ุฐุง ุงู„ู…ู‚ุงู„ ูŠู‚ูˆู… ุจู…ู‚ุงู„ุฉ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุทุŒ ุฃุนู†ูŠ
12
+
13
+ 4
14
+ 00:00:39,310 --> 00:00:43,690
15
+ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุท ู…ู† ู…ู‚ุงู„ุฉ ุงู„ุจูŠุงู†ุงุช ุฅู„ู‰ ู…ู‚ุงู„ุชู‡ุง
16
+
17
+ 5
18
+ 00:00:43,690 --> 00:00:51,630
19
+ ุฏุงุฆู…ุงู‹ ููŠ ุงู„ู…ู‚ุงู„ุฉ ูˆูŠุธู‡ุฑ ุงู„ุชุบูŠูŠุฑ ู…ุฑุชุจุท ุจุงู„ู…ู‚ุงู„ ู„ูŠุณ ูู‚ุท
20
+
21
+ 6
22
+ 00:00:51,630 --> 00:00:57,370
23
+ ุงู„ุชุบูŠูŠุฑ ู„ูƒู† ุงู„ุชุบูŠูŠุฑ ู…ุฑุชุจุท ุจุงู„ู…ู‚ุงู„ ูˆูŠู…ูƒู† ุงุณุชุฎุฏุงู…ู‡
24
+
25
+ 7
26
+ 00:00:57,370 --> 00:01:04,570
27
+ ู„ุชู‚ุงุฑูŠุฑ ุฃูˆ ุฃูƒุซุฑ ู…ุฌู…ูˆุนุงุช ู…ู† ุงู„ุจูŠุงู†ุงุช ุงู„ู…ู‚ุงุฑู†ุฉ ููŠ
28
+
29
+ 8
30
+ 00:01:04,570 --> 00:01:07,750
31
+ ูƒู„ุง ุงู„ู…ุฌู…ูˆุนุชูŠู† ู…ุฎุชู„ูุชูŠู† ุฃูˆ ู†ูุณ ุงู„ู…ุฌู…ูˆุนุงุช ู„ูƒู† ุฃูƒุซุฑ
32
+
33
+ 9
34
+ 00:01:07,750 --> 00:01:14,330
35
+ ู…ู…ูƒู† ุฃู† ู†ุณุชุฎุฏู…ู‡ุง ู„ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉุŒ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชูŠ ูŠุฌุจ
36
+
37
+ 10
38
+ 00:01:14,330 --> 00:01:20,850
39
+ ุฃู† ู†ุณุชุฎุฏู…ู‡ุง ู„ุชุบูŠูŠุฑ ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉ CV ู‡ูˆ S ุนู„ู‰ X ุจุงุฑ
40
+
41
+ 11
42
+ 00:01:20,850 --> 00:01:22,330
43
+ ู…ุฑุฉ ุฃุฎุฑู‰
44
+
45
+ 12
46
+ 00:01:22,330 --> 00:01:22,530
47
+
48
+
49
+ 13
50
+ 00:01:22,530 --> 00:01:25,890
51
+
52
+
53
+ 14
54
+ 00:01:25,890 --> 00:01:26,210
55
+
56
+
57
+ 15
58
+ 00:01:26,210 --> 00:01:27,010
59
+
60
+
61
+ 16
62
+ 00:01:27,010 --> 00:01:27,710
63
+
64
+
65
+ 17
66
+ 00:01:27,710 --> 00:01:28,830
67
+
68
+
69
+ 18
70
+ 00:01:28,830 --> 00:01:46,610
71
+
72
+
73
+ 19
74
+ 00:01:46,610 --> 00:01:52,430
75
+ ุฃูˆู„ุงู‹ ุงู„ู€ sample mean ูˆุงู„ู€ sample standard
76
+
77
+ 20
78
+ 00:01:52,430 --> 00:01:55,370
79
+ deviation ู„ูƒูŠ ู†ู‚ูˆู… ุจุญุณุงุจ ุงู„ู€ coefficient of
80
+
81
+ 21
82
+ 00:01:55,370 --> 00:01:59,130
83
+ variation ูˆุงุถุญุŒ ุนุดุงู† ุฃุญุณุจ ุงู„ CV ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ ุฃุญุณุจ
84
+
85
+ 22
86
+ 00:01:59,130 --> 00:02:02,330
87
+ ุงู„ mean ูˆุจุนุฏูŠู† ุงู„ standard deviationุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุจุช
88
+
89
+ 23
90
+ 00:02:02,330 --> 00:02:06,570
91
+ ู…ู†ูƒ ุฃุทู„ุน ุงู„ CVุŒ ุฃุญุณุจ ุงู„ CVุŒ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุฃูˆู„ุงู‹ ุจุญุณุงุจ X
92
+
93
+ 24
94
+ 00:02:06,570 --> 00:02:10,670
95
+ ุจุงุฑ ุซู… ู†ุณุชุทูŠุน ุฃู† ู†ู‚ูˆู… ุจุญุณุงุจ ุงู„ coefficient of
96
+
97
+ 25
98
+ 00:02:10,670 --> 00:02:15,090
99
+ variationุŒ ุฏุนูˆู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู‡ุฐุง ุงู„ู…ุซุงู„
100
+
101
+ 26
102
+ 00:02:17,880 --> 00:02:23,400
103
+ ุงู„ุขู† ู„ุฏูŠู†ุง ุงุชุตุงู„ูŠู†ุŒ ุงุชุตุงู„ AุŒ ุชุนุฑููŠู† ุงูŠุด ู…ุนู†ู‰ ุงุชุตุงู„
104
+
105
+ 27
106
+ 00:02:23,400 --> 00:02:35,040
107
+ ู†ุนู…ุŒ ุงูŠุด ู…ุนู†ู‰ ุงุชุตุงู„ุŸ ุณู‡ู…ุŒ ุงุชุตุงู„ AุŒ ู…ุนู†ู‰ ู‚ูŠู…ุฉ ุงุชุตุงู„
108
+
109
+ 28
110
+ 00:02:35,040 --> 00:02:41,900
111
+ A ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑุŒ ู…ุนู†ู‰ ู‚ูŠู…ุฉ
112
+
113
+ 29
114
+ 00:02:41,900 --> 00:02:44,500
115
+ ุงุชุตุงู„ A ูƒุงู†ุช 50 ุฏูˆู„ุงุฑ ููŠ ุงู„ุณู†ุฉ ุงู„ู…ุงุถูŠุฉ
116
+
117
+ 30
118
+ 00:02:48,090 --> 00:02:54,110
119
+ ูƒุงู† 5 ุฏูˆู„ุงุฑุŒ ู„ุฐู„ูƒ ู„ุฏูŠู†ุง ูƒู„ุงู‡ู…ุง ุงู„ุขู†ุŒ ุงู„ mean ูˆู…ู‚ุงุฑู†ุฉ
120
+
121
+ 31
122
+ 00:02:54,110 --> 00:02:59,070
123
+ ุงู„ุฃุณุนุงุฑ ู„ู€ Stock A ุงู„ุขู†
124
+
125
+ 32
126
+ 00:02:59,070 --> 00:03:04,510
127
+ ู…ู‚ุงุฑู†ุฉ ุฃุฎุฑู‰ ุงุณู…ู‡ุง Stock BุŒ ู…ู‚ุงุฑู†ุฉ Stock B ู„ุฏูŠู‡ุง
128
+
129
+ 33
130
+ 00:03:04,510 --> 00:03:11,050
131
+ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ุนุงู… ุงู„ู…ุงุถูŠ 100 ุฏูˆู„ุงุฑุŒ ุงู„ mean 100
132
+
133
+ 34
134
+ 00:03:11,050 --> 00:03:18,330
135
+ ุฏูˆู„ุงุฑุŒ ูˆู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุนุงุฑ ุฃูŠุถุงู‹ 5 ุฏูˆู„ุงุฑุŒ ุงู„ุขู† ูƒู„ุง ุงู„ุฃุณู‡ู…
136
+
137
+ 35
138
+ 00:03:18,330 --> 00:03:24,430
139
+ ูŠู…ุชู„ูƒูˆู† ู†ูุณ ุงู„ุงู†ุชุงุฌ ุงู„ุนุงู…ุŒ ู„ุฐุง ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ู†
140
+
141
+ 36
142
+ 00:03:24,430 --> 00:03:30,310
143
+ ุงู„ู…ูู‡ูˆู… ุฃู†ู‡ู… ูŠู…ุชู„ูƒูˆู† ู†ูุณ ุงู„ุงู†ุชุงุฌ ุงู„ุนุงู…ุŒ ู…ุน ูƒุฐุง ู†ูุณ
144
+
145
+ 37
146
+ 00:03:30,310 --> 00:03:33,490
147
+ ุงู„ุงู†ุชุงุฌ ุงู„ุนุงู…ุŒ ู„ูƒู† ุฅุฐุง ุชู†ุธุฑ ุฅู„ู‰ ุฃุณุนุงุฑ ุงู„ุฃุณุนุงุฑ
148
+
149
+ 38
150
+ 00:03:33,490 --> 00:03:37,410
151
+ ุฃุณุนุงุฑ A ููŠ ุงู„ุนุงู… ุงู„ู…ุงุถูŠ ูƒุงู†ุช 50 ุฏูˆู„ุงุฑุŒ ุจูŠู†ู…ุง
152
+
153
+ 39
154
+ 00:03:37,410 --> 00:03:39,350
155
+ ุจุงู„ู†ุณุจุฉ ู„ุฃุณุนุงุฑ B ูƒุงู†ุช 100 ุฏูˆู„ุงุฑ
156
+
157
+ 40
158
+ 00:03:42,870 --> 00:03:46,610
159
+ ุฃู†ุง ุฃู‚ุตุฏ ุงู„ุงู†ุชุงุฌ ุงู„ุฃุณุงุณูŠุŒ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู†
160
+
161
+ 41
162
+ 00:03:46,610 --> 00:03:51,750
163
+ ุงู„ุชุบูŠูŠุฑ ุจูŠู† ุงู„ุงู†ุชุงุฌูŠู† ุงู„ุงุซู†ูŠู† ู„ุฃู†ู‡ู…
164
+
165
+ 42
166
+ 00:03:51,750 --> 00:03:54,750
167
+ ู„ุฏูŠู‡ู… ุงู†ุชุงุฌ ู†ูุณู‡ุŒ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู†ู‡ุŒ ูˆู‡ู… ุฃูŠุถุงู‹
168
+
169
+ 43
170
+ 00:03:54,750 --> 00:03:59,610
171
+ ู„ุฏูŠู‡ู… ุทุฑู‚ ู…ุฎุชู„ูุฉุŒ ู„ุฐู„ูƒ ู„ูƒูŠ ู†ู‚ุงุฑู† ุงู„ุชุบูŠูŠุฑ ุจูŠู†
172
+
173
+ 44
174
+ 00:03:59,610 --> 00:04:04,450
175
+ ุงู„ุงู†ุชุงุฌูŠู† ุงู„ุงุซู†ูŠู† ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ุงู„ู€ CV ุงู„ุชูŠ ู‡ูŠ ู…ูŠุฒุฉ
176
+
177
+ 45
178
+ 00:04:04,450 --> 00:04:10,310
179
+ ุงู„ุชุบูŠูŠุฑ ุงู„ุชูŠ ุชู‚ูˆู… ุจู…ูŠุฒุฉ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุฑุชุจุท to the mean
180
+
181
+ 46
182
+ 00:04:10,310 --> 00:04:13,350
183
+ variabilityุŒ ู…ุด ุงู„ variability ุจุณ relative to the
184
+
185
+ 47
186
+ 00:04:13,350 --> 00:04:17,250
187
+ meanุŒ ูŠุนู†ูŠ ุงู„ุงุฎุชู„ุงู ุญุณุจ ุงู„ meanุŒ ู„ูˆ ุทู„ุนู†ุง ุงู„ CV
188
+
189
+ 48
190
+ 00:04:17,250 --> 00:04:22,430
191
+ ุงู„ุฃูˆู„ู‰ CV for stack AุŒ again the formula we have to
192
+
193
+ 49
194
+ 00:04:22,430 --> 00:04:27,610
195
+ use is S over X bar multiplied by 100ุŒ so now we
196
+
197
+ 50
198
+ 00:04:27,610 --> 00:04:35,910
199
+ have S divided by 50 multiplied by 100 gives 10%
200
+
201
+ 51
202
+ 00:04:37,420 --> 00:04:42,980
203
+ ุงู„ุขู† 10% ู„ุง ูŠุนู†ูŠ ู„ู†ุง ุฃูŠ ุดูŠุก ู„ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ู‡ุฐุง
204
+
205
+ 52
206
+ 00:04:42,980 --> 00:04:50,160
207
+ ุงู„ู‚ูŠู…ุฉ ู„ู‚ูŠู…ุฉ ุฃุฎุฑู‰ุŒ ู„ุนุจุฉ ุฃุฎุฑู‰ุŒ ู„ุนุจุฉ BุŒ ู„ุฏูŠู†ุง X bar 100
208
+
209
+ 53
210
+ 00:04:50,160 --> 00:04:59,440
211
+ ู…ุน ู†ูุณ ุงู„ุงู†ุชุงุฌ ุงู„ูˆุงุณุนุŒ ู„ุฐุง CV ู„ู‡ุฐุง ุงู„ุนู…ูŠู„ S ู†ูุณู‡
212
+
213
+ 54
214
+ 00:04:59,440 --> 00:05:08,340
215
+ ู…ุฎุชู„ูุŒ ู…ู† 100 ู…ุฑุฉ 100%ุŒ ูŠุนู†ูŠ 5%ุŒ ุงู„ุนูŠู†ุฉ B ู„ุฏูŠู‡ุง ุนูŠู†ุฉ
216
+
217
+ 55
218
+ 00:05:08,340 --> 00:05:15,580
219
+ 5%ุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุงุฑู† ุนูŠู†ุฉ
220
+
221
+ 56
222
+ 00:05:15,580 --> 00:05:20,940
223
+
224
+
225
+ 57
226
+ 00:05:20,940 --> 00:05:23,780
227
+
228
+
229
+ 58
230
+ 00:05:23,780 --> 00:05:23,820
231
+
232
+
233
+ 59
234
+ 00:05:23,820 --> 00:05:25,040
235
+
236
+
237
+ 60
238
+ 00:05:25,040 --> 00:05:27,300
239
+
240
+
241
+ 61
242
+ 00:05:27,300 --> 00:05:34,880
243
+
244
+
245
+ 62
246
+ 00:05:34,880 --> 00:05:42,580
247
+ 5 ุฃู‚ู„ ู…ู† 10ุŒ 5% ุฃู‚ู„ ู…ู† 10%ุŒ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู† ูƒู„ุง
248
+
249
+ 63
250
+ 00:05:42,580 --> 00:05:49,240
251
+ ุงู„ูˆุงุญุฏูŠู† ู„ุฏูŠู‡ุง ู†ูุณ ู…ู‚ุงุฑู†ุฉ ุฃุณุงุณูŠุฉุŒ ุงู„ูˆู…ู†ุงูุณุฉุŒ ูˆู„ูƒู†
252
+
253
+ 64
254
+ 00:05:49,240 --> 00:05:52,420
255
+ ุงู„ูˆุงุญุฏ B ุฃู‚ู„ ู…ู‚ุงุฑู†ุฉ
256
+
257
+ 65
258
+ 00:05:52,420 --> 00:05:58,500
259
+
260
+
261
+ 66
262
+ 00:05:58,500 --> 00:06:02,240
263
+
264
+
265
+ 67
266
+ 00:06:03,810 --> 00:06:08,990
267
+ ูŠุนู†ูŠ ูˆุงุถุญ ุฃู† ุงู„ stack B ุงู„ุชุดุชุช ูŠุจู‚ู‰ ุฃู‚ู„ุŒ now if
268
+
269
+ 68
270
+ 00:06:08,990 --> 00:06:12,690
271
+ stack B is less variable to its mean than stack A
272
+
273
+ 69
274
+ 00:06:12,690 --> 00:06:17,750
275
+ which one is more stableุŸ ู…ูŠู† ุจูŠูƒูˆู† more stableุŸ
276
+
277
+ 70
278
+ 00:06:17,750 --> 00:06:23,330
279
+ ุงูŠุด ู…ุนู†ู‰ stableุŸ ูŠุนู†ูŠ ู…ุณุชู‚ุฑ
280
+
281
+ 71
282
+ 00:06:23,330 --> 00:06:27,270
283
+ which one is more stableุŸ if you want to recommend
284
+
285
+ 72
286
+ 00:06:27,270 --> 00:06:35,290
287
+ to buy stack A or BุŸ ุงู„ู€ ... ุงู„ู€ more stable is better
288
+
289
+ 73
290
+ 00:06:35,290 --> 00:06:40,330
291
+ ุทุจูŠุนูŠ ูˆู„ุง ... ู„ูˆ ูŠูƒูˆู† ุงู„ุดุบู„ more stable ู…ุน ูƒุฏู‡ ุงู„ู€
292
+
293
+ 74
294
+ 00:06:40,330 --> 00:06:47,490
295
+ risk ู…ุงู„ู‡ ุจูŠู‚ู„ุŒ ู…ุธุจูˆุทุŒ ููˆุงุถุญ ุฃู†ู‡ stock B more stable
296
+
297
+ 75
298
+ 00:06:47,490 --> 00:06:50,610
299
+ than stock AุŒ it has less variability relative to
300
+
301
+ 76
302
+ 00:06:50,610 --> 00:06:53,110
303
+ its meanุŒ ู„ู…ุง ุงู„ุดูŠุก ุงู„ู„ูŠ ู‡ุชูƒูˆู† ููŠู‡ุง ุชุดุชุช ูƒุจูŠุฑ
304
+
305
+ 77
306
+ 00:06:53,110 --> 00:06:55,690
307
+ variability ูƒุจูŠุฑุฉุŒ ุงู„ูˆุงุญุฏ ุจูŠุจุนุฏ ุนู†ู‡ุŒ ุงู„ุขู† ููŠู‡ุง
308
+
309
+ 78
310
+ 00:06:55,690 --> 00:07:00,050
311
+ ุงู„ู…ุฎุงุทุฑุฉ ู…ุงู„ู‡ุง ุจุงู„ุฒูŠุงุฏุฉุŒ ุฏุฑุณ ุงู„ูƒูˆู† ุนุงู„ูŠุŒ anyways we
312
+
313
+ 79
314
+ 00:07:00,050 --> 00:07:03,370
315
+ have to compute the CV for stack A and stack B
316
+
317
+ 80
318
+ 00:07:03,370 --> 00:07:06,690
319
+ just compare these two valuesุŒ now this is fiveุŒ it
320
+
321
+ 81
322
+ 00:07:06,690 --> 00:07:11,610
323
+ means stack
324
+
325
+ 82
326
+ 00:07:11,610 --> 00:07:18,010
327
+ A is more variable to its mean than stack A than
328
+
329
+ 83
330
+ 00:07:18,010 --> 00:07:23,410
331
+ stack BุŒ ู‡ุฐุง ุงู„ุชูŠู† ูˆู‡ุฐุง ุงู„ุฎู…ุณุŒ ูˆู‡ุฐุง ุฃูƒุจุฑุŒ look at
332
+
333
+ 84
334
+ 00:07:23,410 --> 00:07:31,040
335
+ the next slideุŒ ู„ุฏูŠู†ุง ู…ุตุฏุฑ ูˆุงุญุฏ ุขุฎุฑ ูŠุณู…ู‰ ู…ุตุฏุฑ CุŒ ู…ุตุฏุฑ
336
+
337
+ 85
338
+ 00:07:31,040 --> 00:07:36,400
339
+ C ู„ุฏูŠู‡
340
+
341
+ 86
342
+ 00:07:36,400 --> 00:07:43,020
343
+ ู‚ูŠู…ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ุณู†ุฉ ู…ู† 8 ุฏูˆู„ุงุฑุŒ ูˆู…ุตุฏุฑ
344
+
345
+ 87
346
+ 00:07:43,020 --> 00:07:44,560
347
+ ู…ุตุฏุฑ ุงู„ุงู†ุชุงุฌ 2 ุฏูˆู„ุงุฑ
348
+
349
+ 88
350
+ 00:07:48,140 --> 00:07:50,960
351
+ ุนู„ู‰ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ standard deviation ู‡ูˆ 2ุŒ ู‡ุฐุง
352
+
353
+ 89
354
+ 00:07:50,960 --> 00:07:54,680
355
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุฃุตู„ุงู‹ ุตุบูŠุฑุฉุŒ ุฃูƒุซุฑ ู…ู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ standard
356
+
357
+ 90
358
+ 00:07:54,680 --> 00:07:56,860
359
+ deviationุŒ ุฃูƒุซุฑ ู…ู†
360
+
361
+ 91
362
+ 00:07:56,860 --> 00:07:59,900
363
+
364
+
365
+ 92
366
+ 00:07:59,900 --> 00:08:00,380
367
+
368
+
369
+ 93
370
+ 00:08:00,380 --> 00:08:00,800
371
+
372
+
373
+ 94
374
+ 00:08:00,800 --> 00:08:00,900
375
+
376
+
377
+ 95
378
+ 00:08:00,900 --> 00:08:03,880
379
+
380
+
381
+ 96
382
+ 00:08:03,880 --> 00:08:17,100
383
+
384
+
385
+ 97
386
+ 00:08:17,930 --> 00:08:25,010
387
+ ู‡ุฐุง ูŠุนุทูŠ 25%ุŒ ุนู„ู‰ ุงู„ุฑุบู… ู…ู† ุฃู†ู‡ ูŠุญุชูˆูŠ ุนู„ู‰ ุงุณุชุฎุฏุงู…
388
+
389
+ 98
390
+ 00:08:25,010 --> 00:08:26,990
391
+ ุงุณุชุฎุฏุงู…
392
+
393
+ 99
394
+ 00:08:26,990 --> 00:08:27,250
395
+
396
+
397
+ 100
398
+ 00:08:27,250 --> 00:08:28,390
399
+
400
+
401
+ 101
402
+ 00:08:28,390 --> 00:08:29,190
403
+
404
+
405
+ 102
406
+ 00:08:29,190 --> 00:08:35,310
407
+
408
+
409
+ 103
410
+ 00:08:35,310 --> 00:08:39,550
411
+
412
+
413
+ 104
414
+ 00:08:44,590 --> 00:08:48,690
415
+ ู„ุชู‚ุงุฑู† ุชุบูŠูŠุฑ ุงู„ุงู†ุชุงุฌุงุช ุงู„ู…ุฎุชู„ูุฉ ุญุชู‰ ู„ูˆ ูƒุงู†ุช ุชุญุชูˆูŠ
416
+
417
+ 105
418
+ 00:08:48,690 --> 00:08:50,730
419
+ ุนู„ู‰ ู†ูุณ ุงู„ุฃุฌู‡ุฒุฉุŒ ู‡ู†ุง ู†ุญู† ู†ุญุชูˆูŠ ุนู„ู‰ ู†ูุณ ุงู„ุฃุฌู‡ุฒุฉ
420
+
421
+ 106
422
+ 00:08:50,730 --> 00:08:58,010
423
+ ุฏูˆู„ุงุฑุŒ ูุงู„ู€ Stock X ู„ุญุธุฉ ุฃู† ุชุบูŠูŠุฑู‡ 25%ุŒ ูุงู„ู€ Stock X
424
+
425
+ 107
426
+ 00:08:58,010 --> 00:09:04,610
427
+ ู„ุฏูŠู‡ ุชุบูŠูŠุฑ ู‚ู„ูŠู„ ุฃู‚ู„ ุจูƒุซูŠุฑุŒ ุฏูˆู„ุงุฑ
428
+
429
+ 108
430
+ 00:09:04,610 --> 00:09:07,770
431
+ ูˆ 2 ุฏูˆู„ุงุฑุŒ ูˆู„ูƒู† ุชุบูŠูŠุฑู‡ ูƒุซูŠุฑ ุจูƒุซูŠุฑ
432
+
433
+ 109
434
+ 00:09:10,440 --> 00:09:12,600
435
+ ุฒูŠ ู…ุง ุฃู‚ูˆู„ุŒ ู„ุง ูŠู…ูƒู†ู†ุง ุฃู† ู†ุนุชู…ุฏ ูู‚ุท ุนู„ู‰ ุงู„ู€
436
+
437
+ 110
438
+ 00:09:12,600 --> 00:09:16,300
439
+ Standard Deviation ู„ูƒูŠ ู†ู‚ุงุฑู† ุงู„ุชุบูŠูŠุฑ ุจูŠู† ุงู„ู€
440
+
441
+ 111
442
+ 00:09:16,300 --> 00:09:19,880
443
+ different datasetsุŒ ูŠุฌุจ ุฃู† ู†ู‚ุงุฑู† ุงู„ู€ coefficient of
444
+
445
+ 112
446
+ 00:09:19,880 --> 00:09:23,400
447
+ variationุŒ ุฅุฐุง ุงู„ู…ู„ุฎุตุŒ ู„ูˆ ุฃุฑุฏุช ุฃู‚ุงุฑู† ุชุดุชุช ู…ุฌู…ูˆุนุชูŠู†
448
+
449
+ 113
450
+ 00:09:23,400 --> 00:09:27,280
451
+ ุฃูˆ ุฃูƒุซุฑุŒ ู„ุง ูŠู…ูƒู†ู†ูŠ ุฃู† ุฃุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ S ู„ูˆุญุฏู‡ ูˆู„ุง
452
+
453
+ 114
454
+ 00:09:27,280 --> 00:09:30,320
455
+ ุนู„ู‰ ุงู„ู€ X bar ู„ูˆุญุฏู‡ุŒ ุจุฃุนุชู…ุฏ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ู€
456
+
457
+ 115
458
+ 00:09:30,320 --> 00:09:32,460
459
+ coefficient of variationุŒ ู„ุฃู†ู‡ ู„ูŠุณ ูŠุนู…ู„ ุงู„ู€
460
+
461
+ 116
462
+ 00:09:32,460 --> 00:09:35,880
463
+ measures ุงู„ู€ variation ุฃูˆ ุงู„ู€ variability relative
464
+
465
+ 117
466
+ 00:09:35,880 --> 00:09:42,610
467
+ ู„ู„ู…ูŠู† ุชุจุนู‡ุŒ ูˆุงุถุญุŸ ูŠุนู†ูŠ ู„ูˆ ุญูƒูŠุช ุงู„ score ุณุจุนุชูƒูˆุง
468
+
469
+ 118
470
+ 00:09:42,610 --> 00:09:50,650
471
+ ุงู„ู‡ุง mean equal 85 ูˆุงู„ standard deviation equal 5
472
+
473
+ 119
474
+ 00:09:50,650 --> 00:09:54,430
475
+ ุฃูˆู„ุงุฏ
476
+
477
+ 120
478
+ 00:09:54,430 --> 00:09:58,390
479
+ for female studentsุŒ for male student suppose the
480
+
481
+ 121
482
+ 00:09:58,390 --> 00:10:06,690
483
+ mean was 75 and standard deviation 10ุŒ ุงู„ู„ุญุธุฉ
484
+
485
+ 122
486
+ 00:10:06,690 --> 00:10:07,650
487
+ ุฏูŠ ุฎู„ูŠู‡ุง 5
488
+
489
+ 123
490
+ 00:10:10,430 --> 00:10:14,270
491
+ both have the same meanุŒ but if you compute the CV
492
+
493
+ 124
494
+ 00:10:14,270 --> 00:10:18,930
495
+ for female S
496
+
497
+ 125
498
+ 00:10:18,930 --> 00:10:22,890
499
+ over eighty
500
+
501
+ 126
502
+ 00:10:22,890 --> 00:10:26,630
503
+ fiveุŒ ู„ูˆ
504
+
505
+ 127
506
+ 00:10:26,630 --> 00:10:33,230
507
+ ุถุฑุจุช ุฎู…ุณุฉ ููŠ ู…ุฆุฉ ุนู„ู‰ ุฎู…ุณุฉ ูˆุซู…ุงู†ูŠู†ุŒ ู†ุนู… ุฎู…ุณุฉ
508
+
509
+ 128
510
+ 00:10:33,230 --> 00:10:37,690
511
+ ูˆุซู…ุงู†ูŠู†
512
+
513
+ 129
514
+ 00:10:37,690 --> 00:10:38,690
515
+ ู…ู† ุฃูˆ ุซู…ุงู†ูŠุฉ ู…ู† ุนุดุฑุฉ
516
+
517
+ 130
518
+ 00:10:44,020 --> 00:10:54,660
519
+ ุฎู„ูŠู†ูŠ ุฃุญุณุจู‡ุง ุฎู…ุณุฉ
520
+
521
+ 131
522
+ 00:10:54,660 --> 00:10:58,620
523
+ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ
524
+
525
+ 132
526
+ 00:10:58,620 --> 00:10:58,700
527
+ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ
528
+
529
+ 133
530
+ 00:10:58,700 --> 00:11:01,860
531
+ point 22ุŒ ุฎู…ุณุฉ
532
+
533
+ 134
534
+ 00:11:01,860 --> 00:11:03,180
535
+ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ
536
+
537
+ 135
538
+ 00:11:03,180 --> 00:11:04,660
539
+ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ
540
+
541
+ 136
542
+ 00:11:04,660 --> 00:11:05,040
543
+ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ point 22ุŒ ุฎู…ุณุฉ
544
+
545
+ 137
546
+ 00:11:05,040 --> 00:11:07,640
547
+ point 22ุŒ ุฎู…ุณุฉ point 2
548
+
549
+ 138
550
+ 00:11:13,870 --> 00:11:19,110
551
+ 500 over 75ุŒ 6
552
+
553
+ 139
554
+ 00:11:19,110 --> 00:11:25,730
555
+ .67ุŒ ูˆุงุถุญ
556
+
557
+ 140
558
+ 00:11:25,730 --> 00:11:35,970
559
+ ู‡ู†ุง ููŠ ุงู„ู…ุฏุฑุณุงุช ุงู„ุฅู†ุณุงู†ูŠุฉ ุฃู‚ู„ ู…ู†
560
+
561
+ 141
562
+ 00:11:35,970 --> 00:11:41,090
563
+ 5.88 ุจุงู„ุฑุบู… ู…ู† ุงู„ุงุซู†ูŠู† ุงู„ู„ูŠ ู‡ู… ุนุงูŠุด ู†ูุณ ุงู„ู€
564
+
565
+ 142
566
+ 00:11:41,090 --> 00:11:49,510
567
+ standard deviationุŒ ุฃูŠ ุณุคุงู„ ุนู† ู…ู‚ุงูˆู…ุฉ ุงู„ุชุบูŠูŠุฑุŸ ุญุณู†ุงู‹ุŒ
568
+
569
+ 143
570
+ 00:11:49,510 --> 00:11:55,530
571
+ ุฏุนู†ุง ู†ุชุญุฑูƒ ุฅู„ู‰ ุงู„ุตูุญุฉ ุงู„ุชุงู„ูŠุฉุŒ ุฅุฐุง
572
+
573
+ 144
574
+ 00:11:55,530 --> 00:11:59,150
575
+ ุชุชุฐูƒุฑูŠู† ุนู†ุฏู…ุง ุชุญุฏุซู†ุง ุนู† ุงู„ู…ู‚ุงูˆู…ุฉุŒ ูˆุงู„ู…ู‚ุงูˆู…ุฉุŒ ุชุฐูƒุฑู†ุง
576
+
577
+ 145
578
+ 00:11:59,150 --> 00:12:03,770
579
+ ุฃู† ุงู„ู…ู‚ุงูˆู…ุฉ ู„ูŠุณุช ู…ุดุชุฑูƒุฉ ุจู‚ูŠู…ุงุช ุฃุนุธู… ุฃูˆ ุฃุณู„ุญุฉ ุฎุงุฑู‚ุฉ
580
+
581
+ 146
582
+ 00:12:05,520 --> 00:12:08,340
583
+ ุงู„ุณุคุงู„ ุงู„ุขู† ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ
584
+
585
+ 147
586
+ 00:12:08,340 --> 00:12:18,380
587
+ ุชุนุชุจุฑ ุฎุงุทุฆุฉ ุฃูˆ ุฎุงุทุฆุฉ ุฃูˆ ุญุชู‰ ุฎุงุทุฆุฉุŒ ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง
588
+
589
+ 148
590
+ 00:12:18,380 --> 00:12:21,800
591
+ ู…ุฌู„ุฉ ุฎุงุทุฆุฉุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ูˆู„ ุฅู† ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู…ุฌู„ุฉ
592
+
593
+ 149
594
+ 00:12:21,800 --> 00:12:25,020
595
+ ุชุนุชุจุฑ ุฎุงุทุฆุฉ ุฃูˆ ุฎุงุทุฆุฉุŸ ู…ู…ูƒู† ุฃู‚ูˆู„ ุฅู† ู‡ุฐู‡ ุงู„ู…ุฌู„ุฉ
596
+
597
+ 150
598
+ 00:12:25,020 --> 00:12:30,560
599
+ ู…ุดุชุจู‡ุฉ ุชูƒูˆู† ุฎุงุทุฆุฉ ุฃูˆ ุฎุงุทุฆุฉุŒ ู‡ู†ุงูƒ ุทุฑุญูŠู† ู…ุฎุชู„ููŠู†
600
+
601
+ 151
602
+ 00:12:30,560 --> 00:12:35,670
603
+ ู„ุชูˆุตูŠู„ ุฎุทูˆุงุช ุฎุงุทุฆุฉ ุฃูˆ ุฎุงุทุฆุฉุŒ ู‡ุฐุง ุงู„ููŠุฏูŠูˆ ูŠุชูƒู„ู… ุนู†
604
+
605
+ 152
606
+ 00:12:35,670 --> 00:12:42,510
607
+ ูˆุงุญุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ุทุฑู‚ ูŠุณู…ู‰ Z-scoreุŒ ู„ุฐู„ูƒ ุฏุนู†ุง ู†ุจุฏุฃ
608
+
609
+ 153
610
+ 00:12:42,510 --> 00:12:58,290
611
+ ุจุงู„ูˆุตูˆู„ ุฅู„ู‰ ุฃุนู„ู‰ ุจุงุณุชุฎุฏุงู… Z-scoreุŒ ููˆุตูˆู„ุฉ
612
+
613
+ 154
614
+ 00:12:58,290 --> 00:13:02,530
615
+ ุฃุนู„ู‰
616
+
617
+ 155
618
+ 00:13:12,240 --> 00:13:21,280
619
+ ุนู† ุทุฑูŠู‚ ุงุณุชุฎุฏุงู… ุงู„ู€ z-scoreุŒ ุฏุนูˆู†ุง
620
+
621
+ 156
622
+ 00:13:21,280 --> 00:13:27,520
623
+ ู†ุฑู‰ ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ z-scoreุŒ ู…ุงุฐุง ูŠุนู†ูŠ z-scoreุŸ ูŠุฌุจ
624
+
625
+ 157
626
+ 00:13:27,520 --> 00:13:32,060
627
+ ุฃู† ู†ุนุฑู ูƒู„ุง ุงู„ุงุฎุชุตุงุฑุŒ ุฃุนู†ูŠ ุงู„ุชุฎุตูŠุต ู„ู„ z-score ุซู…
628
+
629
+ 158
630
+ 00:13:32,060 --> 00:13:32,480
631
+ ูƒูŠู ู†ุณุชุฎุฏู…ู‡ุŸ
632
+
633
+ 159
634
+ 00:13:36,220 --> 00:13:41,280
635
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุขู† ุชู‚ูˆู„ ุฃู†ูƒ ุชู‚ูˆู… ุจุชุฌุฑุจุฉ ุงู„ู€ z-score ู…ู†
636
+
637
+ 160
638
+ 00:13:41,280 --> 00:13:44,820
639
+ ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุชุŒ ู†ุญุชุงุฌ
640
+
641
+ 161
642
+ 00:13:44,820 --> 00:13:48,400
643
+ ุฃู† ู†ุชู‚ู„ ุงู„ mean ูˆู†ู‚ู„ ู…ู† ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
644
+
645
+ 162
646
+ 00:13:48,400 --> 00:13:48,540
647
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
648
+
649
+ 163
650
+ 00:13:48,540 --> 00:13:55,580
651
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
652
+
653
+ 164
654
+ 00:13:55,580 --> 00:14:00,780
655
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
656
+
657
+ 165
658
+ 00:14:00,780 --> 00:14:02,880
659
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ
660
+
661
+ 166
662
+ 00:14:02,880 --> 00:14:04,560
663
+ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุจุฒูŠ score
664
+
665
+ 167
666
+ 00:14:04,560 --> 00:14:11,280
667
+ it says it equalsุŒ so z score of a data value for
668
+
669
+ 168
670
+ 00:14:11,280 --> 00:14:15,980
671
+ score for exampleุŒ suppose my score is xุŒ suppose i
672
+
673
+ 169
674
+ 00:14:15,980 --> 00:14:21,540
675
+ got x in subject aุŒ now the question is how can we
676
+
677
+ 170
678
+ 00:14:21,540 --> 00:14:29,220
679
+ compute the z scoreุŒ it says subtract the meanุŒ ุฃูŠ
680
+
681
+ 171
682
+ 00:14:29,220 --> 00:14:42,170
683
+ ู…ุนู†ุงู‡ subtractุŒ ู…ุธุจูˆุทุŒ ุงุทุฑุญ ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต
684
+
685
+ 172
686
+ 00:14:42,170 --> 00:14:46,670
687
+ ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ
688
+
689
+ 173
690
+ 00:14:46,670 --> 00:14:47,270
691
+ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ
692
+
693
+ 174
694
+ 00:14:47,270 --> 00:14:47,390
695
+ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ
696
+
697
+ 175
698
+ 00:14:47,390 --> 00:14:48,410
699
+ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ
700
+
701
+ 176
702
+ 00:14:48,410 --> 00:14:53,410
703
+ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ ู†ู‚ุต ุงู„ meanุŒ
704
+
705
+ 177
706
+ 00:14:53,410 --> 00:15:01,830
707
+ ู†ู‚ุต ุงู„ meanุŒ
708
+
709
+ 178
710
+ 00:15:02,320 --> 00:15:06,140
711
+ ุชุนุฑูŠูู‡ number of standard deviations a data value
712
+
713
+ 179
714
+ 00:15:06,140 --> 00:15:09,800
715
+ is from the meanุŒ ูŠุนู†ูŠ ุงูŠุด ุนุฏุฏ ุงู„ุงู†ุญุฑุงูุงุช ุงู„ู…ุนูŠุงุฑูŠุฉ
716
+
717
+ 180
718
+ 00:15:09,800 --> 00:15:14,200
719
+ ุงู„ู†ู‚ุทุฉ ุจุชุงุนุชูƒ ุฃูˆ ุฏุฑุฌุชูƒ ุจุชุจุนุฏ ุนู† ุงู„ู…ุชูˆุณุทุŒ for example
720
+
721
+ 181
722
+ 00:15:14,200 --> 00:15:23,440
723
+ suppose my score was 85 againุŒ 85ุŒ so you got in
724
+
725
+ 182
726
+ 00:15:23,440 --> 00:15:29,160
727
+ statistics or in math or accounting 85ุŒ and the
728
+
729
+ 183
730
+ 00:15:29,160 --> 00:15:41,140
731
+ average of the entire class ู…ุซู„ู‹ุง ู‡ูˆ 80ุŒ ูˆู…ู‚ุงุฑู†ุฉ
732
+
733
+ 184
734
+ 00:15:41,140 --> 00:15:49,200
735
+ ุงู„ุฃุณุงุณูŠุฉ ูƒุงู†ุช 5ุŒ ุงู„ุขู† ุงู„ุณุคุงู„ ู‡ูˆ ู…ุงุฐุง ูŠุนู†ูŠ
736
+
737
+ 185
738
+ 00:15:49,200 --> 00:15:55,640
739
+ ุงู„ู€ z-scoreุŸ ุฏุนู†ุง ู†ู‚ูˆู… ุจู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-scoreุŒ ุงู„ู…ูู‡ูˆู…
740
+
741
+ 186
742
+ 00:15:55,640 --> 00:15:59,540
743
+ ู‡ูˆ ุฅุถุงูุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ู…ู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ุซู… ุฃู‚ูˆู… ุจุชู‚ุณูŠู…ู‡
744
+
745
+ 187
746
+ 00:15:59,540 --> 00:16:08,270
747
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุงุณูŠุฉุŒ ู„ุฐู„ูƒ ู†ุญู† ู„ุฏูŠู†ุง 85 ู†ุงู‚ุต 80 ุนู„ู‰
748
+
749
+ 188
750
+ 00:16:08,270 --> 00:16:17,530
751
+ 5ุŒ ู‡ุฐุง ูŠุนุทูŠ 1ุŒ ุงู„ุขู† ุฏุนูˆู†ุง ู†ุฑู‰ ู…ุนู†ู‰ 1ุŒ ุงู†ุธุฑ
752
+
753
+ 189
754
+ 00:16:17,530 --> 00:16:21,430
755
+ ุฅู„ู‰ ุงู„ูุฑู‚ ุจูŠู† ู…ู‚ุงุฑู†ุชูƒ ูˆู…ู‚ุงุฑู†ุชูƒุŒ ู…ุงู‡ูŠ ุงู„ูุฑู‚ ุจูŠู†
756
+
757
+ 190
758
+ 00:16:21,
759
+
760
+ 216
761
+ 00:18:47,670 --> 00:18:54,050
762
+ 20 over 5 minus 4 ุงู„ุขู† ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู‚ูŠู… ู…ุฑุฉ
763
+
764
+ 217
765
+ 00:18:54,050 --> 00:19:02,190
766
+ ุฃุฎุฑู‰ุŸ ูŠุนู†ูŠ ู‚ูŠู…ุฉ 60 ู‡ูŠ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช
767
+
768
+ 218
769
+ 00:19:02,190 --> 00:19:07,050
770
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
771
+
772
+ 219
773
+ 00:19:07,050 --> 00:19:09,230
774
+ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ
775
+
776
+ 220
777
+ 00:19:09,230 --> 00:19:11,190
778
+ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช
779
+
780
+ 221
781
+ 00:19:11,190 --> 00:19:13,810
782
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
783
+
784
+ 222
785
+ 00:19:13,810 --> 00:19:15,510
786
+ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ
787
+
788
+ 223
789
+ 00:19:15,510 --> 00:19:19,490
790
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุชุญุช ุงู„ู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
791
+
792
+ 224
793
+ 00:19:20,930 --> 00:19:24,710
794
+ ูˆุงุญุฏ ุฌุงุจ ุณุชูŠู† ุงู„ู…ุชูˆุณุท ุซู…ุงู†ูŠู† ู…ุง ู‡ูŠ ุงู„ูุฑู‚ ุนู„ู‰
795
+
796
+ 225
797
+ 00:19:24,710 --> 00:19:29,830
798
+ ุงู„ู…ุชูˆุณุทุŸ ุนุดุฑูŠู† ู…ุง ู‡ูŠ ุนู„ุงู‚ุฉ ุงู„ุนุดุฑูŠู† ุจุงู„ุฎู…ุณุฉุŸ ุฃุฑุจุน
799
+
800
+ 226
801
+ 00:19:29,830 --> 00:19:33,710
802
+ ุฃุถุนุงู ู…ุน ูƒุฏู‡ ุฏุฑุฌุชู‡ ุฃุฑุจุน ุฃุถุนุงู ู…ุง ู„ู‡ุง below the
803
+
804
+ 227
805
+ 00:19:33,710 --> 00:19:40,050
806
+ mean ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุชุญุณุจ z score now suppose one more
807
+
808
+ 228
809
+ 00:19:40,050 --> 00:19:45,790
810
+ example my score is eighty I
811
+
812
+ 229
813
+ 00:19:45,790 --> 00:19:49,810
814
+ got eighty in subject A for example now what's the
815
+
816
+ 230
817
+ 00:19:49,810 --> 00:19:56,800
818
+ value of z scoreุŸ ู„ูˆ ูƒุงู†ุช ุงู„ู€ mean 80 ูˆุฏุฑุฌุชูŠ 80
819
+
820
+ 231
821
+ 00:19:56,800 --> 00:20:02,740
822
+ ูŠุนู†ูŠ ุฃู†ุง ุฒูŠ ุงู„ู…ุชูˆุณุท ู…ุน ุงู„ู€ Z-score ู…ุด ู‡ูŠุณุงูˆูŠ 80 ู†ู‚ุต
823
+
824
+ 232
825
+ 00:20:02,740 --> 00:20:10,320
826
+ 8 ุนู„ู‰ 5 ูŠุณุงูˆูŠ 0 ู…ุนู†ุงู‡ ุฅูŠุด my score is
827
+
828
+ 233
829
+ 00:20:10,320 --> 00:20:12,400
830
+ 0 above the average or below the average it means
831
+
832
+ 234
833
+ 00:20:12,400 --> 00:20:19,600
834
+ my score equals the mean ุฒูŠ ู…ุง ูƒุฏู‡ my score equals
835
+
836
+ 235
837
+ 00:20:26,980 --> 00:20:33,120
838
+ ุงู„ุนู†ูˆุงู† ุงู„ู„ูŠ ู„ุฏูŠู‡ ู‡ูˆ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฅูŠุฌุงุฏ ุฎุทูˆุงุช ุฃุฎุฑู‰
839
+
840
+ 236
841
+ 00:20:33,120 --> 00:20:37,320
842
+ ุฃุฎุฑู‰
843
+
844
+ 237
845
+ 00:20:37,320 --> 00:20:38,460
846
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
847
+
848
+ 238
849
+ 00:20:38,460 --> 00:20:38,580
850
+ ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู†
851
+
852
+ 239
853
+ 00:20:38,580 --> 00:20:40,080
854
+ ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰
855
+
856
+ 240
857
+ 00:20:40,080 --> 00:20:40,840
858
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
859
+
860
+ 241
861
+ 00:20:40,840 --> 00:20:40,860
862
+ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช
863
+
864
+ 242
865
+ 00:20:40,860 --> 00:20:40,880
866
+ ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู†
867
+
868
+ 243
869
+ 00:20:40,880 --> 00:20:45,340
870
+ ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰ ู…ู† ุงู„ุฎุทูˆุงุช ุงู„ุฃุฎุฑู‰
871
+
872
+ 244
873
+ 00:20:45,340 --> 00:20:47,100
874
+ ู…ู† ุงู„
875
+
876
+ 245
877
+ 00:20:58,500 --> 00:21:03,600
878
+ ู‡ุฐุง ู‚ุงู†ูˆู† ุงู„ุซู„ุงุซ is as rule of thumb ู‚ุงุนุฏุฉ ุนุงู…ุฉ
879
+
880
+ 246
881
+ 00:21:03,600 --> 00:21:09,240
882
+ ุฅุฐุง ุงู„ู€ z score less than negative three ูŠุนู†ูŠ
883
+
884
+ 247
885
+ 00:21:09,240 --> 00:21:13,520
886
+ ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ or greater than three is considered
887
+
888
+ 248
889
+ 00:21:13,520 --> 00:21:17,720
890
+ to be extreme value now go back to the previous
891
+
892
+ 249
893
+ 00:21:17,720 --> 00:21:22,240
894
+ examples do you think z score of one is considered
895
+
896
+ 250
897
+ 00:21:22,240 --> 00:21:27,880
898
+ to be outlierุŸ ูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุจุงู„ุชุงู„ูŠ ู‡ูŠ ู„ูŠุณุช
899
+
900
+ 251
901
+ 00:21:27,880 --> 00:21:37,780
902
+ ุฎุงุฑุฌูŠุฉ ูุงู„ุงูˆู„ ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚ 2 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
903
+
904
+ 252
905
+ 00:21:37,780 --> 00:21:43,300
906
+ 4 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
907
+
908
+ 253
909
+ 00:21:43,300 --> 00:21:49,700
910
+ 0 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚ ุงุชูุงู‚ ุงุชูุงู‚ 0 ู„ูŠุณ ุฎุงุฑุฌูŠุฉ ุงุชูุงู‚
911
+
912
+ 254
913
+ 00:21:49,700 --> 00:21:54,820
914
+ ุงุชูุงู‚ ุงุชูุงู‚ 100 ู„ูˆ
915
+
916
+ 255
917
+ 00:21:54,820 --> 00:21:59,440
918
+ ูƒุงู†ุช ุฏุฑุฌุฉ ุงู„ุทุงู„ุจ 100 ูŠุนู†ูŠ ุงู„ุทุงู„ุจ ุฌุงุจ ู…ูŠุฉ ู…ู† ู…ูŠุฉ ูˆ ุงู„ู…ุชูˆุณุท
919
+
920
+ 256
921
+ 00:21:59,440 --> 00:22:06,220
922
+ ุซู…ุงู†ูŠู† ู‡ู„ ู…ูŠุฉ ุชุนุชุจุฑ outlierุŸ ุทุงู„ุจ ุงุฒุงูŠ scoreุŸ ู…ูŠุฉ
923
+
924
+ 257
925
+ 00:22:06,220 --> 00:22:10,860
926
+ ู†ุงู‚ุต ุซู…ุงู†ูŠู† ุนู„ู‰ ุฎู…ุณุฉ four it means his score is
927
+
928
+ 258
929
+ 00:22:10,860 --> 00:22:15,060
930
+ four standard deviation above the mean and four is
931
+
932
+ 259
933
+ 00:22:15,060 --> 00:22:17,920
934
+ greater than plus three it means this point is
935
+
936
+ 260
937
+ 00:22:17,920 --> 00:22:22,870
938
+ considered to be an outlier or extreme values ู‡ุฐู‡
939
+
940
+ 261
941
+ 00:22:22,870 --> 00:22:25,110
942
+ ุงู„ุทุฑูŠู‚ุฉ ุฃุณู‡ู„ ุทุฑูŠู‚ุฉ ู†ุนุฑู ุฅุฐุง ูƒุงู†ุช ุงู„ู€ data is
943
+
944
+ 262
945
+ 00:22:25,110 --> 00:22:28,010
946
+ considered outlier ุฃูˆ extreme ุฃูˆ ู„ูŠุณ ูƒุฐู„ูƒ ูู‚ุท
947
+
948
+ 263
949
+ 00:22:28,010 --> 00:22:33,870
950
+ ุชุฌุฑุจุฉ ุงู„ู€ z-score ุฅุฐุง ูƒุงู†ุช ุฃู‚ู„ ู…ู† 3 ุฃูˆ ุฃู‚ู„ ู…ู† ุณุงู„ุจ
951
+
952
+ 264
953
+ 00:22:33,870 --> 00:22:41,570
954
+ ู…ู† 3 ูู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุชุนุชุจุฑ ู†ู‚ุทุฉ ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุชู„ุงุชุฉ ุจุณ
955
+
956
+ 265
957
+ 00:22:41,570 --> 00:22:45,190
958
+ ุฃูˆ ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ
959
+
960
+ 266
961
+ 00:22:45,190 --> 00:22:45,990
962
+ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ
963
+
964
+ 267
965
+ 00:22:45,990 --> 00:22:49,930
966
+ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† ุณุงู„ุจ ู…ู† the farther the data value
967
+
968
+ 268
969
+ 00:22:49,930 --> 00:22:56,110
970
+ is from the mean ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุทู„ู‚ุฉ ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ
971
+
972
+ 269
973
+ 00:22:56,110 --> 00:23:01,090
974
+ ุงู„ู…ุทู„ู‚ุฉ ู„ู€ ู†ุงู‚ุต four four ู…ุด ู‡ูŠ ูุจูŠุญูƒูŠ ูƒู„ ู…ูƒุงู† ููŠู‡
975
+
976
+ 270
977
+ 00:23:01,090 --> 00:23:04,990
978
+ ู‚ูŠู…ุฉ ุฃูƒุจุฑ ุจุชูƒูˆู† ุงู„ู€ data ู…ุงู„ู‡ุง ุจุนูŠุฏุฉ ุนู† ุงู„ู€ mean
979
+
980
+ 271
981
+ 00:23:04,990 --> 00:23:09,810
982
+ ูŠุนู†ูŠ z score of negative four which one is far
983
+
984
+ 272
985
+ 00:23:09,810 --> 00:23:14,010
986
+ from the mean z score of negative four or z score
987
+
988
+ 273
989
+ 00:23:14,010 --> 00:23:19,260
990
+ of equals two ุงู†ุณู‰ ุงู„ุฅุดุงุฑุฉ ู†ู‚ุงุท ูู‚ุท ุงู†ุธุฑ ุฅู„ู‰ ู‚ูŠู…ุฉ
991
+
992
+ 274
993
+ 00:23:19,260 --> 00:23:25,000
994
+ ุงู„ุฑู‚ู…ูŠุฉ ู‡ุฐุง ุฃูƒุจุฑ ู…ู† 2 ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู‡ูŠ
995
+
996
+ 275
997
+ 00:23:25,000 --> 00:23:35,980
998
+ ุฃูƒุซุฑ ู…ู† ุงู„ูˆุงู‚ุน ุฃุจุนุฏ ู…ู† ุงู„ู…ุชูˆุณุท ู„ุฐู„ูƒ ู…ุฑุฉ
999
+
1000
+ 276
1001
+ 00:23:35,980 --> 00:23:41,780
1002
+ ุฃุฎุฑู‰ ู‡ุฐู‡ ู‡ูŠ ุงู„ููˆุฑู…ูˆู„ุฉ ู„ู€ z-score ู‡ู„ ุชุนุชู‚ุฏ ุฃู† z
1003
+
1004
+ 277
1005
+ 00:23:41,780 --> 00:23:47,690
1006
+ -score ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุฃูุถู„ ุฃูˆ ุฃู‚ู„ ุฃูˆ ุณุงู„ุจ 0ุŸ ูŠู…ูƒู† ุฃู†
1007
+
1008
+ 278
1009
+ 00:23:47,690 --> 00:23:53,530
1010
+ ูŠูƒูˆู† ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง
1011
+
1012
+ 279
1013
+ 00:23:53,530 --> 00:23:57,450
1014
+ ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง
1015
+
1016
+ 280
1017
+ 00:23:57,450 --> 00:23:59,310
1018
+ ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง
1019
+
1020
+ 281
1021
+ 00:23:59,310 --> 00:23:59,430
1022
+ ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง
1023
+
1024
+ 282
1025
+ 00:23:59,430 --> 00:23:59,470
1026
+ ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง
1027
+
1028
+ 283
1029
+ 00:23:59,470 --> 00:24:14,770
1030
+ ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง ุฃูŠุถุง
1031
+
1032
+ 284
1033
+ 00:24:14,770 --> 00:24:16,890
1034
+ ุฃูŠุถ
1035
+
1036
+ 285
1037
+ 00:24:19,100 --> 00:24:25,100
1038
+ and equals zero if x equals x bar ุฅุฐุง ู…ู…ูƒู† ุงู„ู€ z
1039
+
1040
+ 286
1041
+ 00:24:25,100 --> 00:24:29,460
1042
+ -score ูŠุงุฎุฐ ุซู„ุงุซ ุญุงู„ุงุช positive ุฅุฐุง ูƒุงู† ุงู„ู€ x
1043
+
1044
+ 287
1045
+ 00:24:29,460 --> 00:24:34,520
1046
+ greater than x bar negative ุฅุฐุง ูƒุงู† ุงู„ู€ x more than
1047
+
1048
+ 288
1049
+ 00:24:34,520 --> 00:24:40,880
1050
+ x bar equals zero if x equals x bar this is
1051
+
1052
+ 289
1053
+ 00:24:40,880 --> 00:24:41,660
1054
+ another example
1055
+
1056
+ 290
1057
+ 00:24:46,390 --> 00:24:51,490
1058
+ ูŠูƒูˆู† ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡
1059
+
1060
+ 291
1061
+ 00:24:51,490 --> 00:24:52,530
1062
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1063
+
1064
+ 292
1065
+ 00:24:52,530 --> 00:24:54,710
1066
+ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡
1067
+
1068
+ 293
1069
+ 00:24:54,710 --> 00:24:57,110
1070
+ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡
1071
+
1072
+ 294
1073
+ 00:24:57,110 --> 00:24:57,690
1074
+ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1075
+
1076
+ 295
1077
+ 00:24:57,690 --> 00:24:57,910
1078
+ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡
1079
+
1080
+ 296
1081
+ 00:24:57,910 --> 00:25:00,070
1082
+ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ ุงูŠู‡ ุนู„ุงู‚ุชู‡ ุจุงู„ู…ูŠุฉ
1083
+
1084
+ 297
1085
+ 00:25:00,070 --> 00:25:04,070
1086
+ ุงูŠู‡
1087
+
1088
+ 298
1089
+ 00:25:04,070 --> 00:25:12,130
1090
+ ุนู„ุงู‚ุชู‡
1091
+
1092
+ 299
1093
+ 00:25:12,130 --> 00:25:20,420
1094
+ ุจุงู„ู…ูŠุฉ ุงูŠ ู…ุน ู…ู‚ุงุฑู†ุฉ ุฃุณุงุณูŠุฉ 100 ูˆุงู†ุช
1095
+
1096
+ 300
1097
+ 00:25:20,420 --> 00:25:24,320
1098
+ ุชุณุฃู„ ุนู† ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 620 ู…ู‚ุงุฑู†ุฉ ุงู„ู€
1099
+
1100
+ 301
1101
+ 00:25:24,320 --> 00:25:28,060
1102
+ z-score ุจู…ู‚ุงุฑู†ุฉ 620 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 49
1103
+
1104
+ 302
1105
+ 00:25:28,060 --> 00:25:31,140
1106
+ ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 49 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score
1107
+
1108
+ 303
1109
+ 00:25:31,140 --> 00:25:42,080
1110
+ ุจู…ู‚ุงุฑู†ุฉ 100 ู…ู‚ุงุฑู†ุฉ ุงู„ู€ z-score ุจู…ู‚ุงุฑู†ุฉ 620
1111
+
1112
+ 304
1113
+ 00:25:44,170 --> 00:25:50,930
1114
+ 620-490 ุฃูˆ 100 ูŠุนู†ูŠ 1.3 ูˆู‡ุฐุง ูŠุนู†ูŠ ุฃู† ู…ู‚ุงุฑู†ุชูŠ ุฃุนู„ู‰
1115
+
1116
+ 305
1117
+ 00:25:50,930 --> 00:25:56,630
1118
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉุŒ ุฃุนู„ู‰ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1119
+
1120
+ 306
1121
+ 00:25:56,630 --> 00:25:57,070
1122
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1123
+
1124
+ 307
1125
+ 00:25:57,070 --> 00:25:57,090
1126
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1127
+
1128
+ 308
1129
+ 00:25:57,090 --> 00:25:59,510
1130
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1131
+
1132
+ 309
1133
+ 00:25:59,510 --> 00:25:59,890
1134
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1135
+
1136
+ 310
1137
+ 00:25:59,890 --> 00:26:01,730
1138
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ
1139
+
1140
+ 311
1141
+ 00:26:01,730 --> 00:26:05,460
1142
+ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู…ุฑุฉ ุฃุฎุฑู‰ ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† 1.3
1143
+
1144
+ 312
1145
+ 00:26:05,460 --> 00:26:09,260
1146
+ ุฃูˆ 1.5 ุฃูˆ ู…ู‡ู…ุง ูƒุงู†ุช ุงู„ู‚ูŠู…ุฉ ู„ุฃู†ู†ุง ุญุตู„ู†ุง ุนู„ู‰ 1.3ุŒ
1147
+
1148
+ 313
1149
+ 00:26:09,260 --> 00:26:13,700
1150
+ ู„ุฐู„ูƒ ู‚ูŠู…ุฉ ู‡ุฐุง ู‡ูŠ 1.3 ู…ู‚ุงุฑู†ุฉ ุฃุนู„ู‰ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุฃุณุงุณูŠุฉ
1151
+
1152
+ 314
1153
+ 00:26:13,700 --> 00:26:21,520
1154
+ ู…ุฑุฉ ุฃุฎุฑู‰ ุชุนุชุจุฑ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ 620 ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงูƒุŒ ุงู„ุขู†
1155
+
1156
+ 315
1157
+ 00:26:21,520 --> 00:26:29,080
1158
+ ู‚ูŠู…ุฉ 1.3 ู„ูŠุณุช ุฃูƒุจุฑ ู…ู† 3 ุฃูƒุจุฑุŒ ุฅู†ู‡ุง ุจูŠู† 3 ุฃู‚ู„ ูˆ3
1159
+
1160
+ 316
1161
+ 00:26:29,080 --> 00:26:33,140
1162
+ ุฃูƒุจุฑุŒ ู„ุฐู„ูƒ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุฃูˆ ู‚ูŠู…ุฉ 620
1163
+
1164
+ 317
1165
+ 00:26:35,640 --> 00:26:43,080
1166
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุซู„ุงุซุฉ ุฃูˆ ุฃูƒุจุฑ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุซู„ุงุซุฉ ุฃูˆ
1167
+
1168
+ 318
1169
+ 00:26:43,080 --> 00:26:44,180
1170
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1171
+
1172
+ 319
1173
+ 00:26:44,180 --> 00:26:45,820
1174
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1175
+
1176
+ 320
1177
+ 00:26:45,820 --> 00:26:46,500
1178
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1179
+
1180
+ 321
1181
+ 00:26:46,500 --> 00:26:46,620
1182
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ
1183
+
1184
+ 322
1185
+ 00:26:46,620 --> 00:26:53,900
1186
+ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ
1187
+
1188
+ 323
1189
+ 00:26:53,900 --> 00:27:02,500
1190
+ ุฃูˆ ุฃู‚ู„ ู…ู† ุซู„ุงุซุฉ ุฃูˆ ุฃู‚ู„ ู…ู† ุณุง
1191
+
1192
+ 324
1193
+ 00:27:12,250 --> 00:27:16,010
1194
+ ู…ุง ููŠุด ุงุฎุชู„ุงู ุฃู‡ูˆ ุจูŠู† ุงู„ู€ euro score and the average
1195
+
1196
+ 325
1197
+ 00:27:16,010 --> 00:27:20,390
1198
+ ูŠุนู†ูŠ ู…ุด ุจุนูŠุฏุฉ ุฃูƒุซุฑ ู„ูƒู† ู„ูˆ ู„ุงุญุธุช ู‡ู†ุง ู…ุซู„ู‹ุง ู„ู…ุง ูƒุงู†ุช
1199
+
1200
+ 326
1201
+ 00:27:20,390 --> 00:27:24,530
1202
+ eighty-five ูˆุงู„ู€ average eighty is okay my score
1203
+
1204
+ 327
1205
+ 00:27:24,530 --> 00:27:28,200
1206
+ is around the average so my score of eighty is
1207
+
1208
+ 328
1209
+ 00:27:28,200 --> 00:27:31,220
1210
+ eighty five is not large value is not extreme
1211
+
1212
+ 329
1213
+ 00:27:31,220 --> 00:27:34,600
1214
+ value but if you look at sixty if you got sixty in
1215
+
1216
+ 330
1217
+ 00:27:34,600 --> 00:27:38,180
1218
+ the scores and the average was eighty ูˆุงุถุญ ุฅู† ุงู„ูุฑู‚
1219
+
1220
+ 331
1221
+ 00:27:38,180 --> 00:27:41,880
1222
+ ูƒุจูŠุฑ ุจูŠู†ู‡ู… ูุฏุฑุฌุชูƒ ุจุนูŠุฏุฉ ูƒุซูŠุฑ ุนู† ุงู„ุทู„ุงุจ ูˆูŠู† ู„ุชุญุช
1223
+
1224
+ 332
1225
+ 00:27:41,880 --> 00:27:46,200
1226
+ ุจุนุฏ ูƒุฏู‡ ุฏุฑุฌุชูƒ ุฃู‚ู„ ู…ู† ุงู„ุทู„ุงุจ ุฃุฑุจุน ุงู†ุญุฑุงูุงุช ู…ุนูŠุงุฑูŠุฉ
1227
+
1228
+ 333
1229
+ 00:27:46,200 --> 00:27:50,500
1230
+ ู„ูˆ ูƒุงู†ุช ุฌุจุช ู…ูŠุฉ ุจุนุฏ ูƒุฏู‡ ุฏุฑุฌุชูŠ ุนุงู„ูŠุฉ ุฌุฏุง ูˆุงุทู„ุนุช
1231
+
1232
+ 334
1233
+ 00:27:50,500 --> 00:27:54,180
1234
+ ุฃุฑุจุน ุงู†ุญุฑุงูุงุช ู…ุนูŠุงุฑูŠุฉ any question?
1235
+
1236
+ 335
1237
+ 00:28:01,410 --> 00:28:06,630
1238
+ ุงู„ุณุงุจู‚ ู‡ูˆ ุดูƒู„ ุงู„ุชูˆุฒูŠุน if you remember when we
1239
+
1240
+ 336
1241
+ 00:28:06,630 --> 00:28:13,990
1242
+ started chapter three we started with three
1243
+
1244
+ 337
1245
+ 00:28:13,990 --> 00:28:18,890
1246
+ definitions similar
1247
+
1248
+ 338
1249
+ 00:28:18,890 --> 00:28:22,590
1250
+ definitions in slide four ุญูƒูŠู†ุง ุงู„ู€ central
1251
+
1252
+ 339
1253
+ 00:28:22,590 --> 00:28:27,050
1254
+ tendency ุฃุฎุฐู†ุง three measures mean, median and
1255
+
1256
+ 340
1257
+ 00:28:27,050 --> 00:28:31,590
1258
+ mode ุจุนุฏ ุงุฎุฐ ุงู„ู€ majors of variation ุฃุฎุฐู†ุง ุงู„ู€ range
1259
+
1260
+ 341
1261
+ 00:28:31,590 --> 00:28:35,530
1262
+ ุงู„ู€ standard deviation ูˆุงู„ู€ variance ูˆุงู„ู€
1263
+
1264
+ 342
1265
+ 00:28:35,530 --> 00:28:40,830
1266
+ coefficient of variation ุขุฎุฑ ูˆุงุญุฏุฉ ุฅูŠุด the shape ูˆ
1267
+
1268
+ 343
1269
+ 00:28:40,830 --> 00:28:44,410
1270
+ ุญูƒูŠู†ุง the shape is the pattern of distribution of
1271
+
1272
+ 344
1273
+ 00:28:44,410 --> 00:28:49,150
1274
+ values from lowest to the highest value ูƒูŠู ุดูƒู„
1275
+
1276
+ 345
1277
+ 00:28:49,150 --> 00:28:51,910
1278
+ ุงู„ุชูˆุฒูŠุน ู…ู† ุฃุตุบุฑ ู‚ูŠู…ุฉ ู„ุฃูƒุจุฑ ู‚ูŠู…ุฉ ูŠุนู†ูŠ ุฃู†ุง ุนุงูŠุฒ ุฃุนุฑู
1279
+
1280
+ 346
1281
+ 00:28:51,910 --> 00:28:55,850
1282
+ ุดูƒู„ ุงู„ุชูˆุฒูŠุน ู„ูƒู„ ุงู„ู€ data set ู‡ุฐุง ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡
1283
+
1284
+ 347
1285
+ 00:28:55,850 --> 00:29:03,350
1286
+ ุงู„ุขู† ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ู„ูŠ ู‡ูˆ ุขุฎุฑ ูˆุงุญุฏุฉ ุงู„ูŠูˆู… ุงู„ู„ูŠ ู‡ูˆ
1287
+
1288
+ 348
1289
+ 00:29:03,350 --> 00:29:07,010
1290
+ shape of a distribution ุดูƒู„ ุงู„ุชูˆุฒูŠุน
1291
+
1292
+ 349
1293
+ 00:29:33,530 --> 00:29:36,330
1294
+ ุจุนุฏูŠ ุจุนุฏูŠ
1295
+
1296
+ 350
1297
+ 00:29:39,280 --> 00:29:43,240
1298
+ ุงู„ุขู† suppose ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ูˆู†ุญู† ู…ู‡ุชู…ูŠู†
1299
+
1300
+ 351
1301
+ 00:29:43,240 --> 00:29:51,320
1302
+ ุจุงู„ุนุฑูุฉ ุนู† ุดูƒู„ ู…ุฌู…ูˆุนุงุช ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ุงู„ุดูƒู„ ุชุณู…ุญ
1303
+
1304
+ 352
1305
+ 00:29:51,320 --> 00:29:55,700
1306
+ ุจูƒูŠููŠุฉ ู…ุฌู…ูˆุนุฉ ุงู„ุจูŠุงู†ุงุช ุจูŠูˆุถุญ
1307
+
1308
+ 353
1309
+ 00:29:55,700 --> 00:30:06,900
1310
+ ุฃูˆ ูŠุตู ูƒูŠู ุชุชูˆุฒุน ุดูƒู„ ุงู„ุจูŠุงู†ุงุช ุดูƒู„ุชูŠู†
1311
+
1312
+ 354
1313
+ 00:30:06,900 --> 00:30:16,890
1314
+ ู…ู‡ู…ุฉ ุชุชุตุฑู ููŠ ุงู„ุดูƒู„ number one is called skewness
1315
+
1316
+ 355
1317
+ 00:30:16,890 --> 00:30:27,970
1318
+ skewness ุฃุณู…ุนุด skew ุฃูˆ skewness ุงู„ุชูˆุงุก ุงู„ุชูˆุงุก
1319
+
1320
+ 356
1321
+ 00:30:27,970 --> 00:30:31,010
1322
+ ุงู„ุชูˆุงุก
1323
+
1324
+ 357
1325
+ 00:30:31,010 --> 00:30:33,850
1326
+ ู…ุนู†ุงู‡ measures the extent to which data values are
1327
+
1328
+ 358
1329
+ 00:30:33,850 --> 00:30:38,830
1330
+ not symmetrical symmetrical ูŠุนู†ูŠ ู…ุชู…ุซู„
1331
+
1332
+ 359
1333
+ 00:30:40,200 --> 00:30:48,320
1334
+ ูˆ ุจูŠู† ุงู„ุฃูŠู…ุฏุฉ ุงู„ู€ data values ุจุชูƒูˆู† ู…ุชู…ุงุซู„ุฉ if you
1335
+
1336
+ 360
1337
+ 00:30:48,320 --> 00:30:52,260
1338
+ look at this data and suppose we have this graph
1339
+
1340
+ 361
1341
+ 00:30:52,260 --> 00:30:55,700
1342
+ suppose we have data set and we have this graph
1343
+
1344
+ 362
1345
+ 00:30:55,700 --> 00:30:58,740
1346
+ this
1347
+
1348
+ 363
1349
+ 00:30:58,740 --> 00:30:59,300
1350
+ is the mean
1351
+
1352
+ 364
1353
+ 00:31:06,050 --> 00:31:11,070
1354
+ ู„ูˆ this graph is symmetricุŒ symmetric ู…ุนู†ุงู‡ุŒ ู…ุนู†ุงู‡
1355
+
1356
+ 365
1357
+ 00:31:11,070 --> 00:31:18,390
1358
+ ู…ุชู…ุซู„ุŒ symmetric ู…ุนู†ุงู‡
1359
+
1360
+ 366
1361
+ 00:31:18,390 --> 00:31:22,110
1362
+ ู…ุชู…ุซู„ุŒ ุฅูŠุด ู…ุนู†ุงู‡ ู…ุชู…ุซู„ุŸ ูŠุนู†ูŠ ุงู„ู€ right ูˆุงู„ู€ left ู…ุง
1363
+
1364
+ 367
1365
+ 00:31:22,110 --> 00:31:26,810
1366
+ ู„ู‡ู… ุชู‚ุฑูŠุจุง ุฒูŠ ุจุนุถ ูŠุนู†ูŠ ุงู„ู€ main value is in the
1367
+
1368
+ 368
1369
+ 00:31:26,810 --> 00:31:29,230
1370
+ center of the distributionุŒ ููŠ ุงู„ู†ุต ุจุงู„ุถุจุท
1371
+
1372
+ 369
1373
+ 00:31:29,230 --> 00:31:34,330
1374
+ ูŠุนู†ูŠ ุงู„ู€ main value ููŠ ุงู„ู…ุฑูƒุฒุŒ ููŠ ุงู„ู€ center table
1375
+
1376
+ 370
1377
+ 00:31:34,330 --> 00:31:40,950
1378
+ skewed skewed ู…ุนู†ุงู‡ุง ู‡ูŠูƒ ู„ุญุธุฉ
1379
+
1380
+ 371
1381
+ 00:31:40,950 --> 00:31:46,390
1382
+ ู‡ูŠ ุงู„ู€ main value ุจุณ
1383
+
1384
+ 372
1385
+ 00:31:46,390 --> 00:31:49,270
1386
+ ู„ูˆ ุทู„ุนุช ุนู„ูŠู‡ ู…ู† ุทุฑู ุฃูŠ ู…ู†ุทู‚ุฉ ุงู„ูŠู…ูŠู† ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู€
1387
+
1388
+ 373
1389
+ 00:31:49,270 --> 00:31:53,830
1390
+ right side ู…ุด ุฒูŠ ุงู„ู€ left side ุฅุฐุง ู‡ุฐุง ู…ุด .. ู…ุด
1391
+
1392
+ 374
1393
+ 00:31:53,830 --> 00:32:00,650
1394
+ symmetric ุจุฑุถู‡ ู„ูˆ ูƒุงู† ุงู„ุนูƒุณ ู„ูˆ
1395
+
1396
+ 375
1397
+ 00:32:00,650 --> 00:32:01,650
1398
+ ุญุงุฌุฉ ุฒูŠูƒ ู‡ูŠ ุงู„ู€ main
1399
+
1400
+ 376
1401
+ 00:32:05,180 --> 00:32:10,700
1402
+ ุจุฑุถู‡ ู‡ุฐุง not symmetric ุฅุฐุง ุงู„ู€ skewness measures
1403
+
1404
+ 377
1405
+ 00:32:10,700 --> 00:32:13,520
1406
+ the extent to which data values are not symmetric
1407
+
1408
+ 378
1409
+ 00:32:13,520 --> 00:32:17,160
1410
+ ุฎู„ูŠู†ูŠ
1411
+
1412
+ 379
1413
+ 00:32:17,160 --> 00:32:19,800
1414
+ ุฃุญูƒูŠ ุนู„ูŠู‡ุง ุงู„ูŠูˆู… ูˆุงู„ู„ู‚ุงุก ุงู„ุฌุงูŠ ุจู†ุญูƒูŠ ุนู„ูŠ ุงู„ู€
1415
+
1416
+ 380
1417
+ 00:32:19,800 --> 00:32:27,520
1418
+ kurtosis ุงู„ู€ kurtosis ู…ุนู†ุงู‡ุง ุชูู„ุทุญ ู‡ูŠ
1419
+
1420
+ 381
1421
+ 00:32:27,520 --> 00:32:28,280
1422
+ ูƒุฏู‡ ู…ุนู†ุงู‡ุง
1423
+
1424
+ 382
1425
+ 00:32:32,660 --> 00:32:36,160
1426
+ ุฃุญูŠุงู†ุง ู…ู…ูƒู† ุชูƒูˆู† ุงู„ู€ .. ุงู„ู€ expression ุจุงู„ุนุฑุจูŠ ู…ุด
1427
+
1428
+ 383
1429
+ 00:32:36,160 --> 00:32:51,240
1430
+ ุจูˆุถุญ ุงู„ู…ุนู†ู‰ ุชุจุนู‡ ู„ูƒู† ุงู„ุชุนุฑูŠู ู…ู…ูƒู† ุชูƒูˆู† ุฃูˆุถุญ ุฃู†ุช
1431
+
1432
+ 384
1433
+ 00:32:51,240 --> 00:32:54,100
1434
+ ุจู‚ุงู„ูƒ ุชุนุฑููŠู‡ุง ูƒูŠู ุงุชุฌู‡ุช ุงู„ู…ุนู†ู‰ ู‡ุณู‡ ุฃู†ุง ุชูู„ุทุญ ุฃูˆ
1435
+
1436
+ 385
1437
+ 00:32:54,100 --> 00:32:59,160
1438
+ ุชูุฑุทุญ ุญุณุจ ุงู„ูƒุชุฑ ุทุจ ู†ุงุฎุฏ ุงู„ู„ูุธ ุชุจุนู‡ ู…ุนู†ุงู‡
1439
+
1440
+ 386
1441
+ 00:33:02,930 --> 00:33:07,230
1442
+ ุงู„ู€ care measures the weakness of the care of
1443
+
1444
+ 387
1445
+ 00:33:07,230 --> 00:33:15,510
1446
+ distribution ุจูŠูƒ ู…ุนู†ุงู‡ ุฅูŠุดุŸ ู‚ู…ุฉุŒ ุจูŠุญูƒูŠ weakness ู„ุฃ
1447
+
1448
+ 388
1449
+ 00:33:15,510 --> 00:33:21,030
1450
+ ู…ุด ู…ุนู†ุงู‡ุง ุงู„ู‚ุงุนุฉุŒ ู…ุด ู…ุนู†ุงู‡ุง ุงู„ุนูƒุณ ูŠุนู†ูŠ
1451
+
1452
+ 389
1453
+ 00:33:21,030 --> 00:33:28,870
1454
+ ุทู„ุน
1455
+
1456
+ 390
1457
+ 00:33:28,870 --> 00:33:35,520
1458
+ ุนู„ู‰ ุงู„ู€ graph ุงู„ู„ูŠ ู‡ู†ุง ู‡ูŠ ุงู„ู‚ู…ุฉ ุชุจุนู‡ุง ูˆ graph ุชุงู†ูŠ
1459
+
1460
+ 391
1461
+ 00:33:35,520 --> 00:33:42,280
1462
+ ูˆุตู„ ุงู„ู€ center ู‡ูŠูƒ ูˆุงุญุฏ
1463
+
1464
+ 392
1465
+ 00:33:42,280 --> 00:33:49,040
1466
+ ุชุงู„ุช ูˆุตู„ ุงู„ู‚ู…ุฉ ุจุฐุง ุงู„ุดูƒู„ ูŠุนู†ูŠ
1467
+
1468
+ 393
1469
+ 00:33:49,040 --> 00:33:54,760
1470
+ ูˆุงุญุฏ ุงู„ู‚ู…ุฉ ุชุญุชู‡ ู…ุฏุจุจุฉ sharp ูˆุงุญุฏ flat ุฒูŠ ู‡ูŠูƒ ุฃูˆ
1471
+
1472
+ 394
1473
+ 00:33:54,760 --> 00:33:58,560
1474
+ flat ุฃูƒุซุฑ ู‡ุฐุง ู†ุณู…ูŠู‡ kurtosis ุชูู„ุทุญ
1475
+
1476
+ 395
1477
+ 00:34:01,890 --> 00:34:07,330
1478
+ that is how sharply the curve rises approaching
1479
+
1480
+ 396
1481
+ 00:34:07,330 --> 00:34:11,430
1482
+ the center of distribution ูƒู… ูƒุงู† ุญุฏ ุงู„ุชูˆุฒูŠุน ู„ู…ุง
1483
+
1484
+ 397
1485
+ 00:34:11,430 --> 00:34:16,890
1486
+ ูˆุตู„ ู„ู„ู‚ู…ุฉ ู‡ู„ sharp ุฒูŠ ู‡ูŠ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ุชู…ุซู„ ุงู„ู€
1487
+
1488
+ 398
1489
+ 00:34:16,890 --> 00:34:22,030
1490
+ maximum ู…ุด ู‡ูŠ ู‡ูŠ ุงู„ู€ maximum ู„ู…ุง ูˆุตู„ ู„ ุงู„ู€ max ูƒุงู†
1491
+
1492
+ 399
1493
+ 00:34:22,030 --> 00:34:2
1494
+
1495
+ 431
1496
+ 00:36:51,430 --> 00:36:55,650
1497
+ ุจู‡ุงุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุด ู‡ูŠูƒ ุฃู† ุงู„ู€ mean is much affected
1498
+
1499
+ 432
1500
+ 00:36:55,650 --> 00:36:59,310
1501
+ by extreme values than the medianุŒ ู…ุน ูƒุฏู‡ ุงู„ู€ mean
1502
+
1503
+ 433
1504
+ 00:36:59,310 --> 00:37:03,370
1505
+ ุฏุงูŠู…ุง ุจูŠุชุฌู‡ ู„ู‡ูˆูŠู† ู„ู„ outliersุŒ ุงู„ outliers ุงู„ู„ูŠ
1506
+
1507
+ 434
1508
+ 00:37:03,370 --> 00:37:07,830
1509
+ ู…ูˆุฌูˆุฏูŠู† left sideุŒ ุฅุฐุง ู‡ูˆ ุจูŠุฑูˆุญ ุงู„ left ุทุงู„ู…ุง ูŠุฌูŠ
1510
+
1511
+ 435
1512
+ 00:37:07,830 --> 00:37:11,010
1513
+ ุนู„ู‰ ุงู„ leftุŒ ุฅุฐุง ู‚ูŠู…ุชู‡ ู…ุงู„ู‡ุง ุฃู‚ู„ ู…ู† ุงู„ medianุŒ
1514
+
1515
+ 436
1516
+ 00:37:11,010 --> 00:37:12,710
1517
+ look at the graph C
1518
+
1519
+ 437
1520
+ 00:37:16,810 --> 00:37:20,090
1521
+ ุงู„ุขู† ุฅูŠู‡ ุฃูƒุซุฑุŸ ุฅูŠู‡ ุฃูƒุซุฑุŸ ุฅูŠู‡ ุฃูƒุซุฑุŸ ุฅูŠู‡ ุฃูƒุซุฑุŸ ุฅูŠู‡
1522
+
1523
+ 438
1524
+ 00:37:20,090 --> 00:37:21,110
1525
+ ุฃูƒุซุฑุŸ ุฅูŠู‡ ุฃูƒุซุฑุŸ ุฅูŠู‡ ุฃูƒุซุฑุŸ ุฅูŠู‡ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ
1526
+
1527
+ 439
1528
+ 00:37:21,110 --> 00:37:23,570
1529
+ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ
1530
+
1531
+ 440
1532
+ 00:37:23,570 --> 00:37:26,970
1533
+ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ
1534
+
1535
+ 441
1536
+ 00:37:26,970 --> 00:37:27,830
1537
+ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ
1538
+
1539
+ 442
1540
+ 00:37:27,830 --> 00:37:33,490
1541
+ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ ุฃูƒุซุฑุŸ
1542
+
1543
+ 443
1544
+ 00:37:33,490 --> 00:37:42,630
1545
+ ุฃูƒุซุฑุŸ
1546
+
1547
+ 444
1548
+ 00:37:42,630 --> 00:37:47,810
1549
+ ุฃุนุชู‚ุฏ as a women's shirt, the mean tends to be in the
1550
+
1551
+ 445
1552
+ 00:37:47,810 --> 00:37:52,110
1553
+ direction of long tail ุจูŠุฑูˆุญ ู„ุชุฌุงู‡ ุงู„ุฃุทูˆู„, now the
1554
+
1555
+ 446
1556
+ 00:37:52,110 --> 00:37:56,110
1557
+ long tail is to the right side ุฅุฐุง ู…ุนุงูƒ ุฏู‡ ุงู„ mean
1558
+
1559
+ 447
1560
+ 00:37:56,110 --> 00:38:03,910
1561
+ ู‡ู†ุง which is bigger, mean or median ุงู„ median .. ุงู„
1562
+
1563
+ 448
1564
+ 00:38:03,910 --> 00:38:08,190
1565
+ mean ุฑุงุญ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุทุฑู ุงู„ูŠู…ูŠู† ุฏูŠ ุฃู…ุง ุงู„ุฃุทูˆู„ ุงู„ู„ูŠ
1566
+
1567
+ 449
1568
+ 00:38:08,190 --> 00:38:13,010
1569
+ ู„ู…ุง ุจูƒูˆู† ุนู†ุฏูŠ ุฃุฑู‚ุงู… ู…ู† ูˆุงุญุฏ ู„ุฃู„ู ุงู„ู„ูŠ ู‡ูŠูƒ ุจูŠูƒูˆู† ุฃุท
1570
+
1571
+ 450
1572
+ 00:38:13,010 --> 00:38:18,010
1573
+ ูˆู„ุŒ ุจุงู„ุชุงู„ูŠ ุงู„ mean ุฃูƒุจุฑุŒ ุฅุฐุง for right skewed the
1574
+
1575
+ 451
1576
+ 00:38:18,010 --> 00:38:21,270
1577
+ mean is always greater than the median so we have
1578
+
1579
+ 452
1580
+ 00:38:21,270 --> 00:38:25,330
1581
+ three different situations if we have symmetric
1582
+
1583
+ 453
1584
+ 00:38:25,330 --> 00:38:28,890
1585
+ distribution then mean and the median are equals
1586
+
1587
+ 454
1588
+ 00:38:28,890 --> 00:38:33,910
1589
+ but for left skewed the mean is smaller than the
1590
+
1591
+ 455
1592
+ 00:38:33,910 --> 00:38:37,490
1593
+ median and for right skewed the mean is greater
1594
+
1595
+ 456
1596
+ 00:38:37,490 --> 00:38:43,370
1597
+ than the median ูŠุนู†ูŠ ู…ุนู†ุงู‡ ูƒุฏู‡ for left skewed
1598
+
1599
+ 457
1600
+ 00:38:43,370 --> 00:38:45,130
1601
+ skewness
1602
+
1603
+ 458
1604
+ 00:38:51,970 --> 00:38:55,130
1605
+ ุงู„ุงุณุชุฎุฏุงู… ูŠูƒูˆู† ู…ูˆุฌุจ ุฃูˆ ุณุงู„ุจ ุนู„ู‰ ุญุณุจูƒ ุงู„ุงุณุชุฎุฏุงู…
1606
+
1607
+ 459
1608
+ 00:38:55,130 --> 00:39:00,990
1609
+ ูŠูƒูˆู† ู†ูŠุฌุงุชูŠู ูˆุงู„ุงุณุชุฎุฏุงู… ูŠุตุจุญ
1610
+
1611
+ 460
1612
+ 00:39:00,990 --> 00:39:01,390
1613
+ ุฃู…ุฑูŠูƒูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ
1614
+
1615
+ 461
1616
+ 00:39:01,390 --> 00:39:05,530
1617
+ ุฃู…ุฑูŠูƒูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ
1618
+
1619
+ 462
1620
+ 00:39:05,530 --> 00:39:06,350
1621
+ ุฃู…ุฑูŠูƒูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ
1622
+
1623
+ 463
1624
+ 00:39:06,350 --> 00:39:06,370
1625
+ ุฃู…ุฑูŠูƒูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ๏ฟฝ๏ฟฝู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ
1626
+
1627
+ 464
1628
+ 00:39:06,370 --> 00:39:07,490
1629
+ ุฃู…ุฑูŠูƒูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ ุฃู…ุฑูŠูƒู…ูŠ
1630
+
1631
+ 465
1632
+ 00:39:07,490 --> 00:39:15,430
1633
+ ุฃู…ุฑูŠูƒูŠ
1634
+
1635
+ 466
1636
+ 00:39:18,590 --> 00:39:24,990
1637
+ ู‡ูŠ ุฅูŠู‡ุŸ Symmetric B skewed to the left C skewed to
1638
+
1639
+ 467
1640
+ 00:39:24,990 --> 00:39:28,310
1641
+ the right which one suspected to have an outlier?
1642
+
1643
+ 468
1644
+ 00:39:29,670 --> 00:39:37,430
1645
+ B and C ู‡ุฐุง ุฅูŠู‡ุŸ A B and C which one has outlier?
1646
+
1647
+ 469
1648
+ 00:39:38,590 --> 00:39:45,130
1649
+ A and C could be outlier exist in these two graphs
1650
+
1651
+ 470
1652
+ 00:39:46,090 --> 00:39:50,130
1653
+ ู„ูƒู† ุฅุฐุง ูƒุงู† ู„ุฏูŠูƒ ู…ุฌู…ูˆุนุฉ ู…ุชุณุงูˆูŠุฉ ูู‡ุฐุง ูŠุนู†ูŠ ุฃู†
1654
+
1655
+ 471
1656
+ 00:39:50,130 --> 00:39:55,690
1657
+ ุงู„ุงุฎุชู„ุงูุงุช ู„ูŠุณุช ู…ูˆุฌูˆุฏุฉุŒ ูู„ู…ุฌู…ูˆุนุฉ ุงู„ู…ุชุณุงูˆูŠุฉ
1658
+
1659
+ 472
1660
+ 00:39:55,690 --> 00:39:59,730
1661
+ ุงู„ุจูŠุงู†ุงุช ุฎู„ุงุตุฉ ู…ู† ุงู„ุฎู„ุงุทุงุช ุงู„ุฎุงุฑุฌูŠุฉ ู…ููŠุด ููŠู‡ุง
1662
+
1663
+ 473
1664
+ 00:39:59,730 --> 00:40:05,870
1665
+ ุฎู„ุงุทุงุช ุฎุงุฑุฌูŠุฉุŒ ุฃู†ุง ุณุฃุชูˆู‚ู ู‡ู†ุงุŒ ูˆููŠ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุฅู†
1666
+
1667
+ 474
1668
+ 00:40:05,870 --> 00:40:11,050
1669
+ ุดุงุก ุงู„ู„ู‡ ุณู†ุณุชู…ุฑ ููŠ ู…ุดุงู‡ุฏุฉ ู…ุฌู…ูˆุนุงุช ุงู„ุชุณุงูˆู…ุฉ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/m65gY_YCKcQ.srt ADDED
@@ -0,0 +1,1134 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,790 --> 00:00:24,050
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุงุฎุฏ
4
+
5
+ 2
6
+ 00:00:24,050 --> 00:00:29,350
7
+ practice problems of chapter 10 I will start with
8
+
9
+ 3
10
+ 00:00:29,350 --> 00:00:34,410
11
+ number 67 and this type of questions just multiple
12
+
13
+ 4
14
+ 00:00:34,410 --> 00:00:42,030
15
+ choice it says when testing p1 minus p2 equals zero so
16
+
17
+ 5
18
+ 00:00:42,030 --> 00:00:48,010
19
+ we are testing p1 minus p2 equals zero so
20
+
21
+ 6
22
+ 00:00:48,010 --> 00:00:54,490
23
+ we are testing p1 minus p2 equals zero
24
+
25
+ 7
26
+ 00:00:54,490 --> 00:01:01,430
27
+ it asks about the value of p for this test now the value of p
28
+
29
+ 8
30
+ 00:01:01,430 --> 00:01:03,750
31
+ for this test in this case we have two tests
32
+
33
+ 9
34
+ 00:01:03,750 --> 00:01:05,010
35
+ related so to find the value of p we should study the programs
36
+
37
+ 10
38
+ 00:01:05,010 --> 00:01:09,830
39
+ the value is negative
40
+
41
+ 11
42
+ 00:01:09,830 --> 00:01:15,170
43
+ the test is two-tailed
44
+
45
+ 12
46
+ 00:01:15,170 --> 00:01:23,140
47
+ 2.13 ูŠุณุฃู„ ุนู† ู‚ูŠู…ุฉ B ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ุงู„ุขู† ู‚ูŠู…ุฉ B
48
+
49
+ 13
50
+ 00:01:23,140 --> 00:01:29,420
51
+ ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุญู† ู„ุฏูŠู†ุง ุงุฎุชุจุงุฑูŠู†
52
+
53
+ 14
54
+ 00:01:29,420 --> 00:01:35,940
55
+ ู…ุฑุชุจุทูŠู† ู„ุฐุง ู„ุชู†ู…ูŠุฉ ู‚ูŠู…ุฉ B ูŠุฌุจ ุฃู† ู†ุฏุฑุณ ุงู„ุจุฑุงู…ุฌ
56
+
57
+ 15
58
+ 00:01:35,940 --> 00:01:38,660
59
+ ุงู„ู‚ูŠู…ุฉ ู…ูุงุฑู‚ุฉ
60
+
61
+ 16
62
+ 00:02:00,930 --> 00:02:03,530
63
+ ุงู„ุงุฎุชุจุงุฑ ู…ู† ุทุฑููŠู†
64
+
65
+ 17
66
+ 00:02:12,330 --> 00:02:15,990
67
+ ุงู„ู†ู‚ุทุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 2.13 ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู†
68
+
69
+ 18
70
+ 00:02:15,990 --> 00:02:19,130
71
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ูุงู‚ูˆู… ูู‚ุท ุจู…ุซุงุจุฑุฉ ูˆุงุญุฏุฉ ูˆ
72
+
73
+ 19
74
+ 00:02:19,130 --> 00:02:26,470
75
+ ุงุฑุชุจุทู‡ุง ุจ2 ุงู„ุฃุณู‡ู„ ู‡ูˆ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ู‡ูˆ ู…ุจุงุดุฑุฉ
76
+
77
+ 20
78
+ 00:02:26,470 --> 00:02:34,610
79
+ ู…ู† ุงู„ู…ุนุฑูุฉ ุงู„ุชูŠ ุงุณุชุฎุฏู…ู†ุงู‡ุง ุนุฏุฉ ู…ุฑุงุช ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ
80
+
81
+ 21
82
+ 00:02:34,610 --> 00:02:41,110
83
+ ูู„ู†ุนูˆุฏ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅู„ู‰ ุงู„ู…ุนุฑูุฉ Z
84
+
85
+ 22
86
+ 00:02:50,100 --> 00:03:00,980
87
+ ุงู„ุฃู† ู„ู€-2.13 ู„ู€-2.1 ู…ู† 3 ุงู„ู‚ูŠู…ุฉ
88
+
89
+ 23
90
+ 00:03:00,980 --> 00:03:02,820
91
+ ู‡ูŠ 0.0166
92
+
93
+ 24
94
+ 00:03:16,250 --> 00:03:20,750
95
+ ู‡ูˆ 332.0332
96
+
97
+ 25
98
+ 00:03:20,750 --> 00:03:37,210
99
+ ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ B ูุงู„ุฅุฌุงุจุฉ
100
+
101
+ 26
102
+ 00:03:37,210 --> 00:03:44,690
103
+ ุงู„ุตุญูŠุญุฉ ู‡ูŠ C ูC ู‡ูˆ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉ ุงู„ุขู† ู‡ู†ุงูƒ ุญู„ูˆุฉ
104
+
105
+ 27
106
+ 00:03:44,690 --> 00:03:51,570
107
+ ุฏูŠ 0166 ู‡ุฐุง ู†ูˆุน ูˆุงุญุฏ ุฃูˆ ูˆุงุญุฏ ุชุฌุงุฑุจ ูˆุงุญุฏุฉ ูˆู„ูƒู†
108
+
109
+ 28
110
+ 00:03:51,570 --> 00:03:53,950
111
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุชุงู†ูŠ ุงู„ุฌุงู†ุจ ูŠุฌุจ ุฃู† ู†ุฒูŠู„ ู‡ุฐุง ุจุงู„ุงู†ุชุตุงุฑ 2
112
+
113
+ 29
114
+ 00:03:53,950 --> 00:04:02,470
115
+ ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ ุงู„ุฅุฌุงุจุฉ 0332 ุฑู‚ู… ุฏูŠ ุตุญูŠุญ ูู‚ุท ู„ู€ one
116
+
117
+ 30
118
+ 00:04:02,470 --> 00:04:09,230
119
+ tailed ู‡ุฐุง ู„ู€
120
+
121
+ 31
122
+ 00:04:09,230 --> 00:04:09,910
123
+ 67
124
+
125
+ 32
126
+ 00:04:12,570 --> 00:04:16,650
127
+ ุฃูŠ ุณุคุงู„ 68
128
+
129
+ 33
130
+ 00:04:16,650 --> 00:04:21,890
131
+ ุนู†ุฏ ุชุฌุฑุจุฉ p1 ู…ุงู†ุณุง p2 ู‡ูˆ ุฃูƒุชุฑ ู…ู† ุฃูˆ ุฃูƒุชุฑ ู…ู†
132
+
133
+ 34
134
+ 00:04:21,890 --> 00:04:24,930
135
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
136
+
137
+ 35
138
+ 00:04:24,930 --> 00:04:25,290
139
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
140
+
141
+ 36
142
+ 00:04:25,290 --> 00:04:31,210
143
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
144
+
145
+ 37
146
+ 00:04:31,210 --> 00:04:33,770
147
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
148
+
149
+ 38
150
+ 00:04:33,770 --> 00:04:35,390
151
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
152
+
153
+ 39
154
+ 00:04:35,390 --> 00:04:37,670
155
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
156
+
157
+ 40
158
+ 00:04:37,670 --> 00:04:44,570
159
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉู‡ุฐู‡ ู…ุญุงูˆู„ุฉ one-tailed ู„ุฐู„ูƒ
160
+
161
+ 41
162
+ 00:04:44,570 --> 00:04:49,170
163
+ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู†ู‚ู„ 2.13 ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ูˆุงู‚ุน
164
+
165
+ 42
166
+ 00:04:49,170 --> 00:04:56,110
167
+ ู‡ูŠ 0166 ู„ุฐู„ูƒ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉ ู‡ูŠ B
168
+
169
+ 43
170
+ 00:05:10,190 --> 00:05:16,330
171
+ ุทุจ ู„ูˆ ุณุฃู„ุชูƒ ู†ูุณ ุงู„ุณุคุงู„ ุจุณ ุจุนู…ู„ testing by one
172
+
173
+ 44
174
+ 00:05:16,330 --> 00:05:27,670
175
+ minus by two is positive ุฃูƒุจุฑ ู…ู† ุตูุฑ ู„ุญุธุฉ
176
+
177
+ 45
178
+ 00:05:27,670 --> 00:05:35,270
179
+ ุงู„ area ุงู„ู„ูŠ ู‡ู†ุง ุทู„ุนุช point zero one six six ู„ูˆ
180
+
181
+ 46
182
+ 00:05:35,270 --> 00:05:41,960
183
+ ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ุงู„ู€ P value ุณุชูƒูˆู† P of Z ุฃูƒุชุฑ ู…ู† ู‡ุฐุง
184
+
185
+ 47
186
+ 00:05:41,960 --> 00:05:45,920
187
+ ุงู„ู€ Negative ุงู„ู…ุณุงุญุฉ
188
+
189
+ 48
190
+ 00:05:45,920 --> 00:05:53,680
191
+ ู‡ุฐู‡ ูƒู„ู‡ุง ุณุชุตุจุญ ูˆุงุญุฏ ู†ู‚ุต ูŠุนู†ูŠ
192
+
193
+ 49
194
+ 00:05:53,680 --> 00:06:01,860
195
+ ุฌูˆุง point 9834 ุณูŠูƒูˆู† 9834 C ุชุฎุชู„ู ุญุณุจ ุงู„ู…ุซู„ุฉ
196
+
197
+ 50
198
+ 00:06:08,450 --> 00:06:21,950
199
+ ู‡ุฐุง six .. seven .. six .. eight six
200
+
201
+ 51
202
+ 00:06:21,950 --> 00:06:27,770
203
+ .. nine ุงู„ู„ูŠ ุจุนุฏ six .. eight ุงุดุชุบู„ ุดุจุงุจ six ..
204
+
205
+ 52
206
+ 00:06:27,770 --> 00:06:37,520
207
+ eight ุจุญูƒูŠู†ุง ุจูŠู‡ ุงุดุชุบู„ู‡ุง ุงู„ C ู‡ู†ุง๏ฟฝ๏ฟฝ ุฃูˆ ุญูƒูŠุงุด ุงู„ุฃู‚ู„
208
+
209
+ 53
210
+ 00:06:37,520 --> 00:06:46,880
211
+ ู…ุง ุทู„ุนู†ุงู‡ุง 0166 69
212
+
213
+ 54
214
+ 00:06:46,880 --> 00:06:51,840
215
+ 69
216
+
217
+ 55
218
+ 00:06:51,840 --> 00:06:54,800
219
+ The Wall Street Journal recently published an
220
+
221
+ 56
222
+ 00:06:54,800 --> 00:06:59,880
223
+ article indicating differences in perception of
224
+
225
+ 57
226
+ 00:06:59,880 --> 00:07:03,820
227
+ sexual harassment on the job between men and women
228
+
229
+ 58
230
+ 00:07:04,960 --> 00:07:13,280
231
+ ุจุญูƒูŠ ุดุบู„ุฉ ู„ู€ Men and Women ุงู„ู…ู‚ุงู„
232
+
233
+ 59
234
+ 00:07:13,280 --> 00:07:16,960
235
+ claimed ุงู„ู…ู‚ุงู„
236
+
237
+ 60
238
+ 00:07:16,960 --> 00:07:20,160
239
+ ุจุชุญูƒูŠ ุงู„ women perceived the problem to be much
240
+
241
+ 61
242
+ 00:07:20,160 --> 00:07:25,600
243
+ more prevalent than dead men ูŠุนู†ูŠ ุงู„ women ุฃูƒุชุฑ
244
+
245
+ 62
246
+ 00:07:25,600 --> 00:07:30,520
247
+ ูˆุงุญุฏุฉ
248
+
249
+ 63
250
+ 00:07:30,520 --> 00:07:37,710
251
+ question asked of both men and women was ุงู„ู…ู‡ู… 20%
252
+
253
+ 64
254
+ 00:07:37,710 --> 00:07:45,910
255
+ ุฃุนุทู‰ 20% ู…ู† ุงู„ุฑุฌุงู„ ู…ู‚ุงุฑู†ุฉ ุจ 62% ู…ู† ุงู„ู…ุฑุฃุฉ ุฅุฐุง
256
+
257
+ 65
258
+ 00:07:45,910 --> 00:08:00,510
259
+ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ู…ุฑุฃุฉ 62% ูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ุฑุฌุงู„ 24% ุฌูŠุฏ
260
+
261
+ 66
262
+ 00:08:07,150 --> 00:08:11,630
263
+ what should the wall street to showุŸ ู…ูŠู† ูุถู„ ุตุญุŸ
264
+
265
+ 67
266
+ 00:08:11,630 --> 00:08:29,490
267
+ ู‡ูˆ ุจูŠุญูƒูŠ ุงู„ women ุฃุนู„ู‰ ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู„ as a boy ูŠุนู†ูŠ
268
+
269
+ 68
270
+ 00:08:29,490 --> 00:08:35,710
271
+ ู…ุน ูƒุฏู‡ ุงู„ H one ู…ูŠู†
272
+
273
+ 69
274
+ 00:08:35,710 --> 00:08:41,110
275
+ ูุถู„ ุตุญุŸ ุฏูŠ ู„ุญุธุฉ ุฏูŠ ู„ุฃู† ููŠู‡ุง ุนู†ุฏูƒ ุงู„ p ู„ู„ women
276
+
277
+ 70
278
+ 00:08:41,110 --> 00:08:45,710
279
+ minus ุงู„ p ู„ู„ู…ู† is positive it means this is the
280
+
281
+ 71
282
+ 00:08:45,710 --> 00:08:53,510
283
+ correct answer ุฎู„ุงุต ุฏูŠ
284
+
285
+ 72
286
+ 00:08:53,510 --> 00:08:57,690
287
+ is the correct answer ุงู„ู„ูŠ
288
+
289
+ 73
290
+ 00:08:57,690 --> 00:09:05,170
291
+ ุจุนุฏู‡ ู†ูุณ ุงู„ุณุคุงู„ suppose that one hundred fifty men
292
+
293
+ 74
294
+ 00:09:06,500 --> 00:09:10,100
295
+ women and 200 men were interviewed ู„ู…ุง ุฃุฎุฐูˆุง ุงู„
296
+
297
+ 75
298
+ 00:09:10,100 --> 00:09:15,340
299
+ sample ูƒุงู† ุงู„ women 150
300
+
301
+ 76
302
+ 00:09:15,340 --> 00:09:22,040
303
+ ูˆุงู„ men 200 ุจุณุฃู„ what is the value of the test
304
+
305
+ 77
306
+ 00:09:22,040 --> 00:09:26,620
307
+ statistic ุณุคุงู„ ู…ู‡ู… ุฅูŠุด ู‚ูŠู…ุฉ ุงู„ test statistic ุนุดุงู†
308
+
309
+ 78
310
+ 00:09:26,620 --> 00:09:37,920
311
+ ุฃุทู„ุน ุงู„ test ู‡ุงูŠ ุงู„ู‚ุงู†ูˆู† p1-p2-pi 1-pi 2 Divide by
312
+
313
+ 79
314
+ 00:09:37,920 --> 00:09:42,580
315
+ square root p' plus
316
+
317
+ 80
318
+ 00:09:42,580 --> 00:09:47,760
319
+ 1 over n2 So in order to compute this z, first
320
+
321
+ 81
322
+ 00:09:47,760 --> 00:09:51,280
323
+ step we have to compute the pooled proportion,
324
+
325
+ 82
326
+ 00:09:51,420 --> 00:10:02,320
327
+ overall proportion p' Now p' equals x1 plus x2 n1
328
+
329
+ 83
330
+ 00:10:02,320 --> 00:10:18,400
331
+ plus n2 x1 this is x1 this is x2 this is 150 ู‡ุฏูˆู„
332
+
333
+ 84
334
+ 00:10:18,400 --> 00:10:23,760
335
+ in one and in two ุงู„ู„ูŠ ุทู„ุนู†ุงู‡ู… ู…ุธุจูˆุท
336
+
337
+ 85
338
+ 00:10:23,760 --> 00:10:28,760
339
+ ู‡ุฏูˆู„ interviewed ู…ูŠุฉ ูˆ ุฎู…ุณูŠู† women ูˆ ู…ูŠุชูŠู† men
340
+
341
+ 86
342
+ 00:10:28,760 --> 00:10:36,070
343
+ ูุงู„ู…ู‚ุงู… ุนู†ุฏูŠ ู‡ูŠูƒ 150 plus 200 ุทูŠุจ ุงู„ x1 ู‡ูˆ ู…ุง ุฃุนุทุงู†ูŠุด
344
+
345
+ 87
346
+ 00:10:36,070 --> 00:10:40,410
347
+ ุงู„ x1 ู…ุธุจูˆุท ูƒูŠู
348
+
349
+ 88
350
+ 00:10:40,410 --> 00:10:50,390
351
+ ุฃุทู„ุญู‡ุง ุงู„ x1 ู‡ูˆ ุทู„ุน 62 of women ุงู„ู‚ุงู†ูˆู†
352
+
353
+ 89
354
+ 00:10:50,390 --> 00:10:57,670
355
+ ุชุจุน p1 ุนุจุงุฑุฉ ุนู† ุฅูŠุด x1 ุนู„ู‰ n1 ุนู†ุฏู†ุง ุงู„ p1 ู…ุธุจูˆุท ู…ุน
356
+
357
+ 90
358
+ 00:10:57,670 --> 00:11:05,730
359
+ ูƒุฏู‡ ุงู„ x1 ู…ุด ู…ุชุณุงูˆูŠ n1p1 ู…ุธุจูˆุท ูˆ x2 ุฒูŠู‡ุง ูŠุง ู…ู…ูƒู†
360
+
361
+ 91
362
+ 00:11:05,730 --> 00:11:12,850
363
+ ุงู„ู‚ุงู†ูˆู† ุงู„ุตุงุฑ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ x1 ู‡ุฏูŠ n1p1 ู…ุธุจูˆุท
364
+
365
+ 92
366
+ 00:11:12,850 --> 00:11:15,870
367
+ ู„ุฃู†ู‡ ู…ุง ุฃุนุทุงู†ูŠุด ุงู„ x direct ุฃุนุทุงู†ูŠ ุงู„ proportion
368
+
369
+ 93
370
+ 00:11:15,870 --> 00:11:26,790
371
+ ุฅู„ุง ู„ูˆ ุญูƒูŠุช ู„ูƒ ุฃู†ุชูˆุง ุนุฏุฏูƒู… 100 ู…ู„ุงุด 190 ูˆ ุงู„ุทู„ุจุงุช
372
+
373
+ 94
374
+ 00:11:26,790 --> 00:11:36,470
375
+ ุงู„ู…ุดุบุจุงุช ููŠูƒู… 30% ู…ุงุฐุง ู‡ูŠ ุนุฏุฏ ุงู„ู…ุดุงุฑุจูŠู†ุŸ p1 ุนุจุงุฑุฉ
376
+
377
+ 95
378
+ 00:11:36,470 --> 00:11:43,570
379
+ ุนู† x .. ุนุจุงุฑุฉ ุนู† x1 ุนู„ู‰ n1 p1 ุซู„ุงุซุฉ x1 ู…ุด ุนุงุฑูุฉ n1
380
+
381
+ 96
382
+ 00:11:43,570 --> 00:11:49,530
383
+ ุชุณุนูŠู† ูุงู„ x1 ู…ุด ุจุชุณุงูˆูŠ ุงู„ุซู„ุงุซูŠู† ููŠ ุงู„ุชุณุนูŠู† ูŠุนู†ูŠ
384
+
385
+ 97
386
+ 00:11:49,530 --> 00:11:57,990
387
+ ุณุจุนุฉ ูˆ ุนุดุฑูŠู†ุŒ ู…ุธุจูˆุทุŸ ูู‡ุฐู‡ ู‡ุชุณุงูˆูŠ n1 ููŠ p1 ุฎุฏูŠ n1
388
+
389
+ 98
390
+ 00:11:57,990 --> 00:12:04,480
391
+ ู…ูŠุฉ ูˆ ุฎู…ุณูŠู† ูŠุญูƒูŠ ุงู„ women 150 ุถุฑุจ
392
+
393
+ 99
394
+ 00:12:04,480 --> 00:12:13,260
395
+ 62 plus 200 ููŠ 24 over
396
+
397
+ 100
398
+ 00:12:13,260 --> 00:12:20,900
399
+ n1 plus n2 ุถุฑุจูŠู‡ุง
400
+
401
+ 101
402
+ 00:12:20,900 --> 00:12:21,500
403
+ ู‡ุฏูˆู„ ู‡ุงุช
404
+
405
+ 102
406
+ 00:12:25,650 --> 00:12:30,270
407
+ ู‡ูˆ ุจุณ ู…ุฌุฑุฏ calculations ูŠุนู†ูŠ ู…ุด ุฃูƒุชุฑ ู…ู† ู‡ูŠ 150.62
408
+
409
+ 103
410
+ 00:12:30,270 --> 00:12:39,050
411
+ ู‡ุฏูˆู„ 93 ุถุฑุจ
412
+
413
+ 104
414
+ 00:12:39,050 --> 00:12:47,390
415
+ 48 ุจูŠุทู„ุน
416
+
417
+ 105
418
+ 00:12:47,390 --> 00:12:56,150
419
+ ุงู„ุฌูˆุงุจ ุฃู† ู‡ูŠ point four ุชู‚ุฑูŠุจุงู‹ zero ุชู‚ุฑูŠุจุงู‹ 0.4023
420
+
421
+ 106
422
+ 00:12:56,150 --> 00:13:04,190
423
+ ุฃูˆ ุญุงุฌุฉ ุฒูŠ ุฐู„ูƒ ุชู‚ุฑูŠุจุงู‹ ูƒุฐุง ู‡ุฐู‡ ุงู„ู€ p' ู‡ุฐู‡
424
+
425
+ 107
426
+ 00:13:04,190 --> 00:13:11,350
427
+ ู…ุง ู†ุณู…ูŠู‡ุง ุงู„ู€ bold ู„ู…ู†ุŸ ู„ู„ู€ overall proportion
428
+
429
+ 108
430
+ 00:13:11,350 --> 00:13:15,150
431
+ ุฃุฒูŠู‡ุง
432
+
433
+ 109
434
+ 00:13:15,150 --> 00:13:18,410
435
+ ู‡ุชุณุงูˆูŠุŸ ุงู„ู€ p1' ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
436
+
437
+ 110
438
+ 00:13:24,860 --> 00:13:40,340
439
+ 62-24 under square root 0.403 1- 1 over n1 plus 1
440
+
441
+ 111
442
+ 00:13:40,340 --> 00:13:47,140
443
+ over n2 ุงู„ุญู„ ุงู„ุณุคุงู„ุŒ ุฅูŠุด ุงู„ุฌูˆุงุจ ุทู„ุนุŸ
444
+
445
+ 112
446
+ 00:13:47,140 --> 00:13:52,260
447
+ ุดูˆููŠ ููŠ ุงู„ูƒุชุงุจ ุงู„ุณุคุงู„ 70 ุฅูŠุด ุงู„ุฌูˆุงุจุŸ ู‡ุฐู‡ ุทุฑูŠู‚ุฉ
448
+
449
+ 113
450
+ 00:13:52,260 --> 00:13:59,900
451
+ ุงู„ุญู„ุŒ ุจุณ ุทู„ุน ุงู„ุฌูˆุงุจ C ู‡ูˆ .. ุงู„ู€ C ู…ู†ุทู‚ .. ุฎู„ู‘ูŠ ุจุงู„ูƒ
452
+
453
+ 114
454
+ 00:13:59,900 --> 00:14:06,100
455
+ ุงู„ู€ p ู…ุด ู…ู†ุทู‚ ู„ูŠุดุŸ ูŠุนู†ูŠ ุงู„ู€ p ู…ุด ุตุญ ุงู„ุชุงุจู„ุงุด
456
+
457
+ 115
458
+ 00:14:06,100 --> 00:14:12,100
459
+ ู‚ูŠู…ุฉ ุงู„ู€ Z ุจุชุทู„ุน ุนุงู„ูŠุฉ ู„ุฃู† ุงู„ู€ p ุนุงู„ูŠุฉุŒ ู‡ุฏูˆู„ุŒ
460
+
461
+ 116
462
+ 00:14:12,100 --> 00:14:15,940
463
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูƒุจูŠุฑ ุงู„ู…ู‡ู… ุฅุฐุง ุญู„ุชูŠู‡ุง ุตุญ ุฅูŠุด ุงู„ุฌูˆุงุจ
464
+
465
+ 117
466
+ 00:14:15,940 --> 00:14:20,940
467
+ ุทู„ุน ููŠ ุงู„ูƒุชุงุจุŸ ุงุนุชุจุฑ ุงู„ุฌูˆุงุจ ุงู„ู€ C ุจุชุชุฃูƒุฏ ู…ู†ู‡ุง ููŠ
468
+
469
+ 118
470
+ 00:14:20,940 --> 00:14:39,160
471
+ ุงู„ุจูŠุช seven one seven three ุฅุฐุง seven ู‡ุฐุง
472
+
473
+ 119
474
+ 00:14:39,160 --> 00:14:45,340
475
+ ู†ูุณู‡ ู„ ูˆุงุญุฏ ูˆ ุณุจุนูŠู† ุทูŠุจ
476
+
477
+ 120
478
+ 00:14:45,340 --> 00:14:47,460
479
+ ุงู„ุณุคุงู„ ุงู„ุจุนู†ูˆ ู…ู† ุญู„ ุจุณ ุจุณุฑุนุฉ ุดูˆูŠุฉ
480
+
481
+ 121
482
+ 00:14:57,980 --> 00:15:05,380
483
+ ุฅูŠุด ุงู„ุฌูˆุงุจ ู„ู„ุณุคุงู„ ู‡ุฐุงุŸ ู„ูŠุด ุจูŠู‡ุŸ ู‡ูˆ ุจูŠุญูƒูŠ men and
484
+
485
+ 122
486
+ 00:15:05,380 --> 00:15:10,480
487
+ women ู…ุง ู„ู‡ู… differ ุจูŠุฎุชู„ููˆุง ุนู† ุจุนุถ ุทุงู„ู…ุง ุจูŠุฎุชู„ููˆุง
488
+
489
+ 123
490
+ 00:15:10,480 --> 00:15:13,760
491
+ ูŠุนู†ูŠ ู„ุง ูŠุณุงูˆูŠ ูˆุจุงู„ุชุงู„ูŠ ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ููŠู‡ ู„ุง ูŠุณุงูˆูŠ
492
+
493
+ 124
494
+ 00:15:13,760 --> 00:15:23,380
495
+ ู‡ูŠู‡ุŒ ุฅุฐุงู‹ ุฅู†ูŠ ุฌูˆุงุจ ุจูŠู‡ุŒ ุฎู„ุงุต ุงู„ุณุคุงู„
496
+
497
+ 125
498
+ 00:15:23,380 --> 00:15:24,000
499
+ ุงู„ุจุนุฏุŒ 72
500
+
501
+ 126
502
+ 00:15:36,630 --> 00:15:40,770
503
+ ุงู„ุณุคุงู„ ุจุญูƒูŠ if the p value turns out to be point
504
+
505
+ 127
506
+ 00:15:40,770 --> 00:15:43,010
507
+ zero two of the p value
508
+
509
+ 128
510
+ 00:15:52,640 --> 00:15:56,480
511
+ ู†ูุชุฑุถ ุงู„ู€ p value 0.35 ุจูŠุญูƒูŠ which is not the real
512
+
513
+ 129
514
+ 00:15:56,480 --> 00:15:59,200
515
+ value of this dataset ู…ุด ุงู„ู‚ูŠู…ุฉ ุงู„ูุนูŠู„ุฉ ู„ูƒู† ู‡ูŠ
516
+
517
+ 130
518
+ 00:15:59,200 --> 00:16:03,900
519
+ ูƒุงู†ุช ู…ุฌุฑุฏ example then ุงู„ู€ p value ุจูŠุณุงูˆูŠ ู‡ูŠูƒ
520
+
521
+ 131
522
+ 00:16:03,900 --> 00:16:08,500
523
+ ุงู„ู‚ุฑุงุฑ reject ูˆู„ุง don't rejectุŸ ุญุณุจ alpha ุทู„ุน and
524
+
525
+ 132
526
+ 00:16:08,500 --> 00:16:13,240
527
+ alpha 4 percent reject ุฅุญู†ุง we reject ุฅุฐุง ูƒุงู†ุช ุงู„
528
+
529
+ 133
530
+ 00:16:13,240 --> 00:16:17,020
531
+ p value less than alpha ูˆุฅุฐุง ุญุฏ ุฃุตุบุฑ this is
532
+
533
+ 134
534
+ 00:16:17,020 --> 00:16:22,670
535
+ correct answer 5% ูŠุฌุจ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
536
+
537
+ 135
538
+ 00:16:22,670 --> 00:16:23,290
539
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
540
+
541
+ 136
542
+ 00:16:23,290 --> 00:16:27,050
543
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
544
+
545
+ 137
546
+ 00:16:27,050 --> 00:16:28,670
547
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
548
+
549
+ 138
550
+ 00:16:28,670 --> 00:16:29,650
551
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
552
+
553
+ 139
554
+ 00:16:29,650 --> 00:16:29,670
555
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
556
+
557
+ 140
558
+ 00:16:29,670 --> 00:16:42,110
559
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
560
+
561
+ 141
562
+ 00:16:42,110 --> 00:16:42,470
563
+ ุชู†ุณ
564
+
565
+ 142
566
+ 00:16:46,190 --> 00:16:51,170
567
+ ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุงู„ุชุฃูƒูŠุฏ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุฃุซุงุฑุฉ ุจุฅู†
568
+
569
+ 143
570
+ 00:16:51,170 --> 00:16:54,970
571
+ ุงู„ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุฃุดูŠุงุก ุงู„ู…ู‡ุชู…ุฉ ู‡ูŠ ุฃูƒุชุฑ ููŠ ุงู„ุฌูˆู„ุฉ
572
+
573
+ 144
574
+ 00:16:54,970 --> 00:17:02,290
575
+ ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ุฌูˆู„ุฉ ุงู„ุซุงู†ูŠุฉ ูˆุงู„ุชุฌุงุฑุจ ู„ู„ู€ Z ู‡ูŠ plus 2
576
+
577
+ 145
578
+ 00:17:02,290 --> 00:17:10,170
579
+ .07 ุฒูŠ
580
+
581
+ 146
582
+ 00:17:10,170 --> 00:17:12,790
583
+ 2.07
584
+
585
+ 147
586
+ 00:17:15,740 --> 00:17:24,680
587
+ ูˆุจูŠุญูƒูŠ ุงู„ู€ proportion ู„ู€ group 1 ู…ุงู„ู‡ higher
588
+
589
+ 148
590
+ 00:17:24,680 --> 00:17:35,340
591
+ than proportion ู„ู€ group 2 where the
592
+
593
+ 149
594
+ 00:17:35,340 --> 00:17:37,960
595
+ difference is defined as group 1 proportion minus
596
+
597
+ 150
598
+ 00:17:37,960 --> 00:17:41,880
599
+ group 2 proportion the p value is equal to
600
+
601
+ 151
602
+ 00:17:46,790 --> 00:17:56,690
603
+ greater ูˆู„ุง ุฃู‚ู„ ู‡ุฐุง ุฃูƒุจุฑ ู…ุธุจูˆุท ูุจุงู„ุซุงู†ูŠุฉ one minus
604
+
605
+ 152
606
+ 00:17:56,690 --> 00:18:06,710
607
+ Z ุฃู‚ู„ one minus two point zero seven ู‡ุงูŠ ุงู„ table
608
+
609
+ 153
610
+ 00:18:06,710 --> 00:18:14,090
611
+ ู‡ุงูŠ
612
+
613
+ 154
614
+ 00:18:14,090 --> 00:18:15,770
615
+ ุงู„ zero ู„ุบุงูŠุฉ ุงู„ุณุจุนุฉ
616
+
617
+ 155
618
+ 00:18:21,600 --> 00:18:39,200
619
+ 9808 ูŠุนู†ูŠ 0182 ู‡ุฐุง ู‚ูŠู…ุฉ ุงู„ู€ P value ุฅุฐุง
620
+
621
+ 156
622
+ 00:18:39,200 --> 00:18:43,560
623
+ ุงู„ P value ุงู„ุฌูˆุงุจ 0 182
624
+
625
+ 157
626
+ 00:18:48,780 --> 00:18:57,340
627
+ ู‡ุฐู‡ ุงู„ุณุคุงู„ ุชู„ุงุชุฉ ุณุจู†ุชู‰ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
628
+
629
+ 158
630
+ 00:18:57,340 --> 00:19:00,960
631
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
632
+
633
+ 159
634
+ 00:19:00,960 --> 00:19:01,980
635
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
636
+
637
+ 160
638
+ 00:19:01,980 --> 00:19:02,880
639
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
640
+
641
+ 161
642
+ 00:19:02,880 --> 00:19:04,800
643
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
644
+
645
+ 162
646
+ 00:19:04,800 --> 00:19:05,400
647
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
648
+
649
+ 163
650
+ 00:19:05,400 --> 00:19:07,540
651
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
652
+
653
+ 164
654
+ 00:19:07,540 --> 00:19:14,210
655
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃู„ูˆ ุจุนู…ู„ testing ู„ู„ proportion
656
+
657
+ 165
658
+ 00:19:14,210 --> 00:19:22,210
659
+ ุจุณุชุฎุฏู… two tail ู…ู…ูƒู† ูˆุงุญุฏ ู…ู…ูƒู† ุฅุฐุง true ูˆุงุถุญ ู„ูƒู†
660
+
661
+ 166
662
+ 00:19:22,210 --> 00:19:27,430
663
+ ู„ูˆ ุญูƒู‰ you only ู„ูˆ ุญูƒู‰ only ุจุณ ุบู„ุท ู„ุงู† one tail ุฃูˆ
664
+
665
+ 167
666
+ 00:19:27,430 --> 00:19:36,970
667
+ two tail test ุงู„ุณุคุงู„
668
+
669
+ 168
670
+ 00:19:36,970 --> 00:19:39,910
671
+ ู‡ุฐุง ูŠุนู†ูŠ ู…ุง ูŠุนุทูŠูƒ output ุฌุงู‡ุฒ ูŠุนู†ูŠ ู…ุง ูŠุนุทูŠูƒ results
672
+
673
+ 169
674
+ 00:19:39,910 --> 00:19:46,550
675
+ ุฌุงู‡ุฒุฉ ุงู„ุณูŠู†ุงุฑูŠูˆ ู‡ูˆ ุนุดุฑุฉ ุชุณุนุฉ ูŠุนู†ูŠ ุฃู†ุง ู…ุด ู…ุง ุจุนุทูŠู†ูŠ
676
+
677
+ 170
678
+ 00:19:46,550 --> 00:19:52,230
679
+ ุงู„ู€ hypothesized difference zero ุงู„ level of
680
+
681
+ 171
682
+ 00:19:52,230 --> 00:19:55,390
683
+ significance point zero five ู…ุง ุจุนุทูˆู†ูŠ group one
684
+
685
+ 172
686
+ 00:19:55,390 --> 00:19:58,910
687
+ number of items of interest hundred and sixty
688
+
689
+ 173
690
+ 00:19:58,910 --> 00:20:05,250
691
+ sample size two hundred ูŠุนู†ูŠ ู‡ุฐุง Alpha ู…ุธุจูˆุท ูˆู‡ุฐุง
692
+
693
+ 174
694
+ 00:20:05,250 --> 00:20:10,990
695
+ n1 ู‡ุฐุง x1 ูˆู‡ุฐุง n1 group two
696
+
697
+ 175
698
+ 00:20:36,530 --> 00:20:37,930
699
+ x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x
700
+
701
+ 176
702
+ 00:20:41,090 --> 00:20:45,010
703
+ ุดูˆู ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ู‡ุฑุงูŠุญูƒุŒ ู‡ุฌูŠุจ ู„ูƒ ุดุบู„ ุฒูŠ ูƒุฏู‡ุŒ
704
+
705
+ 177
706
+ 00:20:45,010 --> 00:20:48,090
707
+ ุฎู„ุงุตุŸ
708
+
709
+ 178
710
+ 00:20:48,090 --> 00:20:54,210
711
+ ุจุฏู„ ูˆุญุชูŠูƒู… ุฅูŠุด ุฃู†ุช ุจู‚ู‰ุŒ ู„ู…ุง ุจุชุณู…ุน ุงุณู… ุงู„ุงู…ุชุญุงู† ุฃูˆ
712
+
713
+ 179
714
+ 00:20:54,210 --> 00
715
+
716
+ 216
717
+ 00:24:12,430 --> 00:24:15,870
718
+ if
719
+
720
+ 217
721
+ 00:24:15,870 --> 00:24:21,130
722
+ there is any difference ุฃู†ุณู‰ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‡ู†ุง ู…ุนู†ุงู‡
723
+
724
+ 218
725
+ 00:24:21,130 --> 00:24:29,170
726
+ ูƒุฏู‡ ุนุงูŠุฒ ุฃุนู…ู„ two greater than two point six eight
727
+
728
+ 219
729
+ 00:24:29,170 --> 00:24:46,990
730
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ู‡ูŠูƒ ู…ุด ู‡ูŠูƒูˆุงุญุฏ ู†ุงู‚ุต 268
731
+
732
+ 220
733
+ 00:24:46,990 --> 00:24:57,390
734
+ ู‡ุงูŠ
735
+
736
+ 221
737
+ 00:24:57,390 --> 00:24:58,210
738
+ 2.6
739
+
740
+ 222
741
+ 00:25:04,240 --> 00:25:12,140
742
+ .9963 ู…ุธุจูˆุท ุฅุฐุง .9963
743
+
744
+ 223
745
+ 00:25:12,140 --> 00:25:18,200
746
+ .0037
747
+
748
+ 224
749
+ 00:25:18,200 --> 00:25:23,560
750
+ .74
751
+
752
+ 225
753
+ 00:25:23,560 --> 00:25:27,460
754
+ ูุชู‚ุฑูŠุจุง ุงู„ุฌูˆุงุจ .0074
755
+
756
+ 226
757
+ 00:25:34,540 --> 00:25:40,760
758
+ ูˆุงุถุญ .007 ุฃู†ุง ูƒุชุจู‡ุง four ูˆ ุชู‚ุฑูŠุจุง .73 ูˆุงุถุญ ุฃู†ู‡
759
+
760
+ 227
761
+ 00:25:40,760 --> 00:25:46,620
762
+ ุชู‚ุฑูŠุจุง ู†ูุณ ุงู„ู„ูŠ ุฌุงุจู‡ุง ุจุณ ู…ู‚ุฑุจุฉ ู‡ุฐุง ู„ูˆ ูƒุงู† two
763
+
764
+ 228
765
+ 00:25:46,620 --> 00:25:50,480
766
+ -tailed ู„ูˆ ูƒุงู† one-tailed to the right ุฅูŠุด ุงู„ุฌูˆุงุจ
767
+
768
+ 229
769
+ 00:25:50,480 --> 00:25:57,420
770
+ ุญูŠูƒูˆู†ุŸ ู‡ุฐุง two-tailedุŒ ุจุธุจุทุŸ ุทูŠุจ ู„ูˆ ูƒุงู† one-tailed
771
+
772
+ 230
773
+ 00:25:59,080 --> 00:26:03,520
774
+ to the right ุงุชุด ุทุงู„ุน ู…ุนุงูŠุง to the right ุฑู‚ุต ูƒูˆูŠุณ
775
+
776
+ 231
777
+ 00:26:03,520 --> 00:26:08,400
778
+ ุงู„ุชู†ุชูŠู† ู…ุน ุจุนุถ ุงู„ z ุทู„ุนุช positive ู…ุธุจูˆุท ุงู„ z
779
+
780
+ 232
781
+ 00:26:08,400 --> 00:26:13,780
782
+ positive ุงู„ z ู‡ูŠู‡ุง ู„ูˆ ูƒุงู† to the right ูƒู„ ู…ุณุงุญุฉ
783
+
784
+ 233
785
+ 00:26:13,780 --> 00:26:17,300
786
+ ู‡ุฐู‡ ู…ุธุจูˆุท ุงู„ z greater ุฏู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง
787
+
788
+ 234
789
+ 00:26:17,300 --> 00:26:22,980
790
+ ุจุณ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูู„ูˆ ุจู‚ุณู…ู‡ุง ุงุชู†ูŠู† ุงู„ุฌูˆุงุจุด ู‡ูŠุทู„ุน zero
791
+
792
+ 235
793
+ 00:26:22,980 --> 00:26:26,820
794
+ .0037 ุฎู„ุงุต
795
+
796
+ 236
797
+ 00:26:29,270 --> 00:26:37,790
798
+ ูˆู„ูˆ ูƒุงู†ุช one tailed to the left ุฅูŠุด ุงู„ุฌูˆุงุจุŸ to the
799
+
800
+ 237
801
+ 00:26:37,790 --> 00:26:41,910
802
+ left ูŠุนู†ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงุŒ ู†ุธุงู…ุŸ z ุฃู‚ู„ุŒ ู„ุญุธุฉุŒ z
803
+
804
+ 238
805
+ 00:26:41,910 --> 00:26:46,450
806
+ ุฃู‚ู„ ูŠุนู†ูŠ positive ูƒู„ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ู†ู‚ุต
807
+
808
+ 239
809
+ 00:26:46,450 --> 00:26:50,770
810
+ ุงู„ู„ูŠ ุทู„ุนุชู‡ุง ุฅุฐุง one minus .0037
811
+
812
+ 240
813
+ 00:26:50,770 --> 00:26:54,590
814
+ ูˆุงุถุญุŒ
815
+
816
+ 241
817
+ 00:26:54,590 --> 00:27:00,150
818
+ .9963 ุฃู†ุง ุจุญู‚ู‚ ุงู„ุณุคุงู„ ุชุงู†ูŠ ู…ุด ุฅุชุดุงุฑุงุช
819
+
820
+ 242
821
+ 00:27:00,150 --> 00:27:04,210
822
+ ุชุงู†ูŠุฉ ู†ุฑุฌุน ู„ู€ .75 ุงู„ู„ูŠ ุฒูŠ ุทู„ุนุช ู…ุนุงูŠุง ุงู„ู€ B value
823
+
824
+ 243
825
+ 00:27:04,210 --> 00:27:10,330
826
+ .0074 ุฒูŠ ุชู‚ุฑูŠุจุง ู…ุง ุฃุนุทุงู†ูŠู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ ุจู†ุงุก ุนู„ู‰
827
+
828
+ 244
829
+ 00:27:10,330 --> 00:27:15,530
830
+ ูƒุฏู‡ ุฅูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนู†ุงุŸ ุฃูŠ ุญุงุฌุฉ ููŠู‡ุง don't reject ู…ุด
831
+
832
+ 245
833
+ 00:27:15,530 --> 00:27:23,250
834
+ ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ุฐุง .0074 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ less than
835
+
836
+ 246
837
+ 00:27:23,250 --> 00:27:29,640
838
+ AlphaุŒ ู…ุธุจูˆุทุŸ Alpha ูƒุฏู‡ ุฅูŠุด ูƒุงู†ุชุŸ ุฃุนุทุง๏ฟฝ๏ฟฝูŠู‡ุง 1% ุฃุนุชู‚ุฏ
839
+
840
+ 247
841
+ 00:27:29,640 --> 00:27:34,900
842
+ ุฃุนุทุงู†ูŠู‡ุง ูˆุงุญุฏุŒ ู…ุง ุญูƒูŠู†ุง ุนู„ูŠู‡ ู‡ูŠ ูˆุงุถุญ ุฃู†ู‡ุง ุฃุตุบุฑ ู…ู†
843
+
844
+ 248
845
+ 00:27:34,900 --> 00:27:39,020
846
+ ูˆุงุญุฏุŒ ุญุชู‰ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŒ .007 ู…ุงู„ุงูƒูŠุฏ ุงู„ุฃุตุบุฑ ู…ู† ูˆุงุญุฏ
847
+
848
+ 249
849
+ 00:27:39,020 --> 00:27:44,080
850
+ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉ ูˆู„ุง ู„ุฃุŸ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ู‚ูŠู…ุชูƒ ูƒุงู†ุช ุฃุตุบุฑ
851
+
852
+ 250
853
+ 00:27:44,080 --> 00:27:48,760
854
+ ู…ู† ูˆุงุญุฏุŒ ู„ูŠู‡ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŸ
855
+
856
+ 251
857
+ 00:27:48,760 --> 00:27:52,120
858
+ if P value is smaller than Alpha Alpha is one
859
+
860
+ 252
861
+ 00:27:52,120 --> 00:27:57,130
862
+ percent. I mean if we reject at one percent do we
863
+
864
+ 253
865
+ 00:27:57,130 --> 00:28:00,390
866
+ still reject at any level greater than alphaุŸ ุฃูƒูŠุฏ
867
+
868
+ 254
869
+ 00:28:00,390 --> 00:28:07,790
870
+ ุทูŠุจ ุทุจุนุง ุฅุฐุง ู‡ุฐู‡ ุบู„ุท ูˆู‡ุฐู‡ ุบู„ุท reject the null
871
+
872
+ 255
873
+ 00:28:07,790 --> 00:28:11,770
874
+ hypothesis there is enough evidence to conclude
875
+
876
+ 256
877
+ 00:28:11,770 --> 00:28:14,690
878
+ that there is significant difference ู‡ุฐู‡ ู…ุธุจูˆุทุฉ
879
+
880
+ 257
881
+ 00:28:14,690 --> 00:28:21,960
882
+ ุงู„ูุฑู‚ ุนู†ู‡ุง none ุฅุฐุง the correct answer is a ูˆุงุถุญ
883
+
884
+ 258
885
+ 00:28:21,960 --> 00:28:26,640
886
+ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญ ูŠุนู†ูŠ ุฃู† A ู‡ูˆ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ููŠ ุฃูŠ
887
+
888
+ 259
889
+ 00:28:26,640 --> 00:28:31,860
890
+ ุณุคุงู„ุŸ ุงู„ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ุงู„ู€ Z ู…ุงุชูŠู†ูŠ ุฅูŠุงู‡ุง ุทู„ุจุช ู…ู†ูƒ
891
+
892
+ 260
893
+ 00:28:31,860 --> 00:28:37,440
894
+ ุชุญุณุจ ุงู„ B value ู‡ูŠูƒ ุญุณุจุชู‡ุงุŸ ูˆุงุถุญ ุจุนุฏูŠู† ุทู„ุนู†ุง
895
+
896
+ 261
897
+ 00:28:37,440 --> 00:28:40,060
898
+ conclusion ู†ุญู† ู†ุชูุฑุฌ ุนู† ุงู„hypothesis ุงู„ู€ null it
899
+
900
+ 262
901
+ 00:28:40,060 --> 00:28:43,500
902
+ means there is enough evidence to conclude there
903
+
904
+ 263
905
+ 00:28:43,500 --> 00:28:45,800
906
+ is significant difference in the proportions of
907
+
908
+ 264
909
+ 00:28:45,800 --> 00:28:55,170
910
+ satisfied guests at the two resorts ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ
911
+
912
+ 265
913
+ 00:28:55,170 --> 00:28:58,510
914
+ ุจุนุฏู‡ ุงู„ู„ูŠ ุจุนุฏู‡ ุจุญูƒูŠ referring to the same scenario
915
+
916
+ 266
917
+ 00:28:58,510 --> 00:29:04,810
918
+ 10 9 if you want to test the claim that group one
919
+
920
+ 267
921
+ 00:29:04,810 --> 00:29:09,410
922
+ has higher proportion group one is higher the
923
+
924
+ 268
925
+ 00:29:09,410 --> 00:29:15,530
926
+ right one till is higher the b value will be is
927
+
928
+ 269
929
+ 00:29:15,530 --> 00:29:23,600
930
+ higher .0037 ู‡ูˆ ู…ุด ูˆุงุญุฏ ู„ู†ุงุงู„ู„ูŠ .00 ูˆุงู„ุฑุงุญุงุช ุงู„ู„ูŠ ู‡ูŠ
931
+
932
+ 270
933
+ 00:29:23,600 --> 00:29:30,560
934
+ one minus ู‡ุฏู‰ ูˆู„ุง ุงูŠ ูˆุงุญุฏุฉ ููŠู‡ู… ุงู„ .. ุงู†ุง ู…ุงุจุญูƒูŠ
935
+
936
+ 271
937
+ 00:29:30,560 --> 00:29:36,760
938
+ ุงูŠุด ู„ูˆ one .. tailed test ู‡ุงูŠ
939
+
940
+ 272
941
+ 00:29:36,760 --> 00:29:41,820
942
+ ุงู„ two-tailed ู…ู† ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ two-tailed ุงู„ุฌูˆุงุจ
943
+
944
+ 273
945
+ 00:29:41,820 --> 00:29:49,320
946
+ ู‡ู†ุงุฎุฏ ุฌูˆุงุจ ู…ู† ุงู„ูƒุชุงุจ .0072 ูƒูˆูŠุณุŸ ู‡ุงุฏ ุงู„ two-tailed
947
+
948
+ 274
949
+ 00:29:50,740 --> 00:29:54,460
950
+ ุนุงูŠุฒุฉ one tail to the rightุŒ ุฅูŠุด ุจุนู…ู„ุŸ ุจุฌุณู…ู‡ุง
951
+
952
+ 275
953
+ 00:29:54,460 --> 00:29:59,800
954
+ ุงุชู†ูŠู†ุŒ ุฅุฐุง ุงู„ุฌูˆุงุจ ู…ูŠู†ุŸ ุงูŠู‡ุŸ ู„ุญุธุฉ ุจูŠู‡ one minus ู…ุด
955
+
956
+ 276
957
+ 00:29:59,800 --> 00:30:07,060
958
+ ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ุงู„ุจุฑูˆุจุฑุช ุงู„ู„ูŠ ุทู„ุนุช ุทู„ุนุช ู„ two
959
+
960
+ 277
961
+ 00:30:07,060 --> 00:30:13,340
962
+ tailsุŒ ู…ุธุจูˆุทุŸ ู„ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠุŒ ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠ ู…ุน ุจุนุถ ุฅุฐุง
963
+
964
+ 278
965
+ 00:30:13,340 --> 00:30:15,920
966
+ ุงู„ correct answer is aุŒ ุงู„ู„ูŠ ุจุนุฏู‡
967
+
968
+ 279
969
+ 00:30:20,790 --> 00:30:23,230
970
+ ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุชุฌุงุฑุฉ ุงู„ู€ CLIMB ูˆ ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ 1
971
+
972
+ 280
973
+ 00:30:23,230 --> 00:30:25,770
974
+ ู„ุฏูŠู‡ุง ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
975
+
976
+ 281
977
+ 00:30:25,770 --> 00:30:31,230
978
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
979
+
980
+ 282
981
+ 00:30:31,230 --> 00:30:35,830
982
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
983
+
984
+ 283
985
+ 00:30:35,830 --> 00:30:37,950
986
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
987
+
988
+ 284
989
+ 00:30:37,950 --> 00:30:43,590
990
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
991
+
992
+ 285
993
+ 00:30:43,590 --> 00:30:46,030
994
+ ุชู‚ู„ูŠู„ ุชู‚
995
+
996
+ 286
997
+ 00:30:51,860 --> 00:30:57,540
998
+ ุดูˆู ุฃูŠ ุณุคุงู„ ุฃูŠ ุณุคุงู„ ุณูˆุงุก ููŠ ุงู„ homework ุฃูˆ ููŠ ู‡ุฐุง
999
+
1000
+ 287
1001
+ 00:30:57,540 --> 00:31:10,780
1002
+ ุงู„ุงุณู„ุญุฉ ููŠู‡ุง confidence interval ุชู„ุบูŠู‡ู… ุงู†ุญู„
1003
+
1004
+ 288
1005
+ 00:31:10,780 --> 00:31:14,560
1006
+ ุงุฎุฑ ูˆุงุญุฏ ุงุฎุฑ ุณุคุงู„
1007
+
1008
+ 289
1009
+ 00:31:28,830 --> 00:31:34,430
1010
+ ุงู„ุฑุฆูŠุณ .. ู†ุนู…
1011
+
1012
+ 290
1013
+ 00:31:34,430 --> 00:31:41,470
1014
+ ุงู„ูุชูˆู‰ุŒ ุฑุฆูŠุณ ุงู„ู…ุฏุฑุณุฉ ู…ู‡ุชู… ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุฏุฑุณูŠู†
1015
+
1016
+ 291
1017
+ 00:31:41,470 --> 00:31:49,120
1018
+ ู…ู† ู…ุฏุฑุณุชู‡ ุงู„ุฐูŠู† ูŠู…ุชู„ูƒูˆุง ุนุฑุถ ุนู…ู„ ุนู„ู‰ ูŠูˆู… ุงู„ู…ุฏุฑุณุฉ ู‡ูˆ
1019
+
1020
+ 292
1021
+ 00:31:49,120 --> 00:31:53,740
1022
+ ู…ู‡ุชู… ุจุงู„ุชุญู‚ูŠู‚ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ููŠ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ
1023
+
1024
+ 293
1025
+ 00:31:53,740 --> 00:32:02,600
1026
+ ู„ุชุญู‚ูŠู‚ ูˆู…ุนุงู„ุฌุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ูŠุนู†ูŠ ูู‡ูŠ ุนู†ุฏู‡ ุงุชูุงู‚ูŠู† ุงูˆ
1027
+
1028
+ 294
1029
+ 00:32:02,600 --> 00:32:08,660
1030
+ ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู† ุงูˆ ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู†
1031
+
1032
+ 295
1033
+ 00:32:08,660 --> 00:32:12,660
1034
+ In a random sample of a hundred of each type of
1035
+
1036
+ 296
1037
+ 00:32:12,660 --> 00:32:18,810
1038
+ major at graduation ุฃุฎุฏ ู…ูŠุฉ ู…ู† ุงู„ุฃูˆู„ูˆู…ูŠุฉ ู…ู†
1039
+
1040
+ 297
1041
+ 00:32:18,810 --> 00:32:25,330
1042
+ ุงู„ุชุงู†ูŠุฉ ู…ุด ุฎู…ุณูŠู† ุฎู…ุณูŠู† ู„ุงุญุธุด ุญูƒู‰ in a random
1043
+
1044
+ 298
1045
+ 00:32:25,330 --> 00:32:29,790
1046
+ sample of a hundred of each ู…ูŠุฉ ู…ู† ูƒู„ ูˆุงุญุฏ ูƒูˆูŠุณุฉ
1047
+
1048
+ 299
1049
+ 00:32:29,790 --> 00:32:38,630
1050
+ he found that 65 accounting majors 65 ู…ู† ู‡ู†ุง and
1051
+
1052
+ 300
1053
+ 00:32:38,630 --> 00:32:45,150
1054
+ 52 economics majors ู‡ุฏูˆู„
1055
+
1056
+ 301
1057
+ 00:32:45,150 --> 00:32:48,880
1058
+ ู…ุง ู‡ู…ู‡ูˆ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„
1059
+
1060
+ 302
1061
+ 00:32:48,880 --> 00:32:53,360
1062
+ ูˆูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1063
+
1064
+ 303
1065
+ 00:32:53,360 --> 00:32:59,300
1066
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ
1067
+
1068
+ 304
1069
+ 00:32:59,300 --> 00:33:03,940
1070
+ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1071
+
1072
+ 305
1073
+ 00:33:03,940 --> 00:33:03,980
1074
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1075
+
1076
+ 306
1077
+ 00:33:03,980 --> 00:33:04,440
1078
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1079
+
1080
+ 307
1081
+ 00:33:04,440 --> 00:33:12,970
1082
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† referring to this
1083
+
1084
+ 308
1085
+ 00:33:12,970 --> 00:33:16,950
1086
+ scenario the hypo .. the hypothesis the Dean
1087
+
1088
+ 309
1089
+ 00:33:16,950 --> 00:33:19,990
1090
+ should be used are ุฅูŠุด hypothesisุŸ null and
1091
+
1092
+ 310
1093
+ 00:33:19,990 --> 00:33:26,170
1094
+ alternate ู‡ูˆ ุฅูŠุด ุญูƒู‰ุŸ ุจูƒ ุชุทู„ุน ุงู„ู…ุซู„ุฉุŒ ุจุญูƒูŠ he is
1095
+
1096
+ 311
1097
+ 00:33:26,170 --> 00:33:30,130
1098
+ interested in seeing if there is significant
1099
+
1100
+ 312
1101
+ 00:33:30,130 --> 00:33:36,750
1102
+ difference in this proportion ู…ุง ุญูƒูŠุด ู…ูŠู† ุฃูƒุจุฑุŒ
1103
+
1104
+ 313
1105
+ 00:33:36,750 --> 00:33:42,120
1106
+ ู…ุธู‡ุฑุŒ ู…ุฑุฉ ุชุงู†ูŠุฉ ู‡ูˆ ุญูƒู‰ interest in seeing if there
1107
+
1108
+ 314
1109
+ 00:33:42,120 --> 00:33:45,520
1110
+ is a difference ููŠ ูุฑู‚ ุงูˆ ู„ุง ู…ุน ูƒุฏู‡ ูŠุดูŠุฒ ุฌูˆุงุจ
1111
+
1112
+ 315
1113
+ 00:33:45,520 --> 00:33:53,460
1114
+ ุงู„ุตุญู‰ two-tailed test ุงุฐุง ุงู„ุฌูˆุงุจ ุงู…ุง a ุง ููŠ ู„ุง
1115
+
1116
+ 316
1117
+ 00:33:53,460 --> 00:33:57,880
1118
+ ูŠุณุงูˆูŠ ููŠ ุงู„ู†ุงู„ ุทุจุนุง ุฎุทุฃ ุจูŠ ุงู„ุตุญ ุงู„ู„ูŠ ู„ุง ูŠุณุงูˆูŠ
1119
+
1120
+ 317
1121
+ 00:33:57,880 --> 00:34:03,520
1122
+ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ alternative hypothesis ุงุฐุง ุจูŠ is the
1123
+
1124
+ 318
1125
+ 00:34:03,520 --> 00:34:04,160
1126
+ correct answer
1127
+
1128
+ 319
1129
+ 00:34:11,500 --> 00:34:15,220
1130
+ ุฎู„ุงุตุŸ ููŠู‡ ุณุคุงู„ุŸ stop at this point and next time
1131
+
1132
+ 320
1133
+ 00:34:15,220 --> 00:34:15,840
1134
+ shall continue
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/m65gY_YCKcQ_postprocess.srt ADDED
@@ -0,0 +1,1280 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,790 --> 00:00:24,050
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุงุฎุฏ
4
+
5
+ 2
6
+ 00:00:24,050 --> 00:00:29,350
7
+ practice problems of chapter 10 I will start with
8
+
9
+ 3
10
+ 00:00:29,350 --> 00:00:34,410
11
+ number 67 and this type of questions just multiple
12
+
13
+ 4
14
+ 00:00:34,410 --> 00:00:42,030
15
+ choice it says when testing it's zero by one minus
16
+
17
+ 5
18
+ 00:00:42,030 --> 00:00:48,010
19
+ by two equals zero so
20
+
21
+ 6
22
+ 00:00:48,010 --> 00:00:54,490
23
+ we are testingุจุงูŠ ูˆุงู† ู…ุงูŠู†ูˆุณ ุจุงูŠ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
24
+
25
+ 7
26
+ 00:00:54,490 --> 00:01:01,430
27
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
28
+
29
+ 8
30
+ 00:01:01,430 --> 00:01:03,750
31
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
32
+
33
+ 9
34
+ 00:01:03,750 --> 00:01:05,010
35
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
36
+
37
+ 10
38
+ 00:01:05,010 --> 00:01:09,830
39
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
40
+
41
+ 11
42
+ 00:01:09,830 --> 00:01:15,170
43
+ ุงุชูˆ ุงุชูˆ
44
+
45
+ 12
46
+ 00:01:15,170 --> 00:01:23,140
47
+ ุงุช2.13 ูŠุณุฃู„ ุนู† ู‚ูŠู…ุฉ B ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ุงู„ุขู† ู‚ูŠู…ุฉ B
48
+
49
+ 13
50
+ 00:01:23,140 --> 00:01:29,420
51
+ ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุญู† ู„ุฏูŠู†ุง ุงุฎุชุจุงุฑูŠู†
52
+
53
+ 14
54
+ 00:01:29,420 --> 00:01:35,940
55
+ ู…ุฑุชุจุทูŠู† ู„ุฐุง ู„ุชู†ู…ูŠุฉ ู‚ูŠู…ุฉ B ูŠุฌุจ ุฃู† ู†ุฏุฑุณ ุงู„ุจุฑุงู…ุฌ
56
+
57
+ 15
58
+ 00:01:35,940 --> 00:01:38,660
59
+ ุงู„ู‚ูŠู…ุฉ ู…ูุงุฑู‚ุฉ
60
+
61
+ 16
62
+ 00:02:00,930 --> 00:02:03,530
63
+ ุงู„ุงุฎุชุจุงุฑ ู…ู† ุทุฑููŠู†
64
+
65
+ 17
66
+ 00:02:12,330 --> 00:02:15,990
67
+ ุงู„ู†ู‚ุทุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 2.13 ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู†
68
+
69
+ 18
70
+ 00:02:15,990 --> 00:02:19,130
71
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ูุงู‚ูˆู… ูู‚ุท ุจู…ุซุงุจุฑุฉ ูˆุงุญุฏุฉ ูˆ
72
+
73
+ 19
74
+ 00:02:19,130 --> 00:02:26,470
75
+ ุงุฑุชุจุทู‡ุง ุจ2 ุงู„ุฃุณู‡ู„ ู‡ูˆ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ู‡ูˆ ู…ุจุงุดุฑุฉ
76
+
77
+ 20
78
+ 00:02:26,470 --> 00:02:34,610
79
+ ู…ู† ุงู„ู…ุนุฑูุฉ ุงู„ุชูŠ ุงุณุชุฎุฏู…ู†ุงู‡ุง ุนุฏุฉ ู…ุฑุงุช ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ
80
+
81
+ 21
82
+ 00:02:34,610 --> 00:02:41,110
83
+ ูู„ู†ุนูˆุฏ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅู„ู‰ ุงู„ู…ุนุฑูุฉ Z
84
+
85
+ 22
86
+ 00:02:50,100 --> 00:03:00,980
87
+ ุงู„ุฃู† ู„ู€-2.13 ู„ู€-2.1 ู…ู† 3 ุงู„ู‚ูŠู…ุฉ
88
+
89
+ 23
90
+ 00:03:00,980 --> 00:03:02,820
91
+ ู‡ูŠ 0.0166
92
+
93
+ 24
94
+ 00:03:16,250 --> 00:03:20,750
95
+ ู‡ูˆ 332.0332
96
+
97
+ 25
98
+ 00:03:20,750 --> 00:03:37,210
99
+ ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ B ูุงู„ุฅุฌุงุจุฉ
100
+
101
+ 26
102
+ 00:03:37,210 --> 00:03:44,690
103
+ ุงู„ุตุญูŠุญุฉ ู‡ูŠ C ูC ู‡ูˆ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉุงู„ุงู† ู‡ู†ุงูƒ ุญู„ูˆุฉ
104
+
105
+ 27
106
+ 00:03:44,690 --> 00:03:51,570
107
+ ุฏูŠ 0166 ู‡ุฐุง ู†ูˆุน ูˆุงุญุฏ ุงูˆ ูˆุงุญุฏ ุชุฌุงุฑุจ ูˆุงุญุฏุฉ ูˆู„ูƒู†
108
+
109
+ 28
110
+ 00:03:51,570 --> 00:03:53,950
111
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุชุงู†ูŠ ุงู„ุฌุงู†ุจ ูŠุฌุจ ุฃู† ู†ุฒูŠู„ ู‡ุฐุง ุจุงู„ุงู†ุชุตุงุฑ 2
112
+
113
+ 29
114
+ 00:03:53,950 --> 00:04:02,470
115
+ ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ ุงู„ุฅุฌุงุจุฉ 0332 ุฑู‚ู… ุฏูŠ ุตุญูŠุญ ูู‚ุท ู„ู€ one
116
+
117
+ 30
118
+ 00:04:02,470 --> 00:04:09,230
119
+ tilde ู‡ุฐุง ู„ู€
120
+
121
+ 31
122
+ 00:04:09,230 --> 00:04:09,910
123
+ 67
124
+
125
+ 32
126
+ 00:04:12,570 --> 00:04:16,650
127
+ ุฃูŠ ุณุคุงู„ 68
128
+
129
+ 33
130
+ 00:04:16,650 --> 00:04:21,890
131
+ ุนู†ุฏ ุชุฌุฑุจุฉ ุจูŠ 1 ู…ุงู†ุณุง ุจูŠ 2 ู‡ูˆ ุฃูƒุชุฑ ู…ู† ุฃูˆ ุฃูƒุชุฑ ู…ู†
132
+
133
+ 34
134
+ 00:04:21,890 --> 00:04:24,930
135
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
136
+
137
+ 35
138
+ 00:04:24,930 --> 00:04:25,290
139
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
140
+
141
+ 36
142
+ 00:04:25,290 --> 00:04:31,210
143
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
144
+
145
+ 37
146
+ 00:04:31,210 --> 00:04:33,770
147
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
148
+
149
+ 38
150
+ 00:04:33,770 --> 00:04:35,390
151
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
152
+
153
+ 39
154
+ 00:04:35,390 --> 00:04:37,670
155
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
156
+
157
+ 40
158
+ 00:04:37,670 --> 00:04:44,570
159
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทู‡ุฐู‡ ู…ุญุงูˆู„ุฉ one-tailed ู„ุฐู„ูƒ
160
+
161
+ 41
162
+ 00:04:44,570 --> 00:04:49,170
163
+ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู†ู‚ู„ 2.13 ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ูˆุงู‚ุน
164
+
165
+ 42
166
+ 00:04:49,170 --> 00:04:56,110
167
+ ู‡ูŠ 0166 ู„ุฐู„ูƒ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉ ู‡ูŠ B
168
+
169
+ 43
170
+ 00:05:10,190 --> 00:05:16,330
171
+ ุทุจ ู„ูˆ ุณุฃู„ุชูƒ ู†ูุณ ุงู„ุณุคุงู„ ุจุณ ุจุนู…ู„ testing by one
172
+
173
+ 44
174
+ 00:05:16,330 --> 00:05:27,670
175
+ minus by two is positive ุฃูƒุจุฑ ู…ู† ุตูุฑ ู„ุญุธุฉ
176
+
177
+ 45
178
+ 00:05:27,670 --> 00:05:35,270
179
+ ุงู„ area ุงู„ู„ูŠ ู‡ู†ุง ุทู„ุนุช point zero one six six ู„ูˆ
180
+
181
+ 46
182
+ 00:05:35,270 --> 00:05:41,960
183
+ ุนุงูŠุฒู‡ุง ุฃูƒุจุฑุงู„ู€ P value ุณุชูƒูˆู† P of Z ุฃูƒุชุฑ ู…ู† ู‡ุฐุง
184
+
185
+ 47
186
+ 00:05:41,960 --> 00:05:45,920
187
+ ุงู„ู€ Negative ุงู„ู…ุณุงุญุฉ
188
+
189
+ 48
190
+ 00:05:45,920 --> 00:05:53,680
191
+ ู‡ุฐู‡ ูƒู„ู‡ุง ุณุชุตุจุญ ูˆุงุญุฏ ู†ู‚ุต ูŠุนู†ูŠ
192
+
193
+ 49
194
+ 00:05:53,680 --> 00:06:01,860
195
+ ุฌูˆุง point 9834 ุณูŠูƒูˆู† 9834C ุชุฎุชู„ู ุญุณุจ ุงู„ู…ุซู„ุฉ
196
+
197
+ 50
198
+ 00:06:08,450 --> 00:06:21,950
199
+ ู‡ุฐุง six .. seven .. six .. eight six
200
+
201
+ 51
202
+ 00:06:21,950 --> 00:06:27,770
203
+ .. nine ุงู„ู„ูŠ ุจุนุฏ six .. eight ุงุดุชุบู„ ุดุจ๏ฟฝ๏ฟฝุจ six ..
204
+
205
+ 52
206
+ 00:06:27,770 --> 00:06:37,520
207
+ eight ุจุญูƒูŠู†ุง ุจูŠู‡ ุงุดุชุบู„ู‡ุง ุงู„ C ู‡ู†ุงูƒ ุงูˆ ุญูƒูŠุงุดุงู„ุฃู‚ู„
208
+
209
+ 53
210
+ 00:06:37,520 --> 00:06:46,880
211
+ ู…ุง ุทู„ุนู†ุงู‡ุง 0166 69
212
+
213
+ 54
214
+ 00:06:46,880 --> 00:06:51,840
215
+ 69
216
+
217
+ 55
218
+ 00:06:51,840 --> 00:06:54,800
219
+ The Wall Street Journal recently published an
220
+
221
+ 56
222
+ 00:06:54,800 --> 00:06:59,880
223
+ article indicating differences in perception of
224
+
225
+ 57
226
+ 00:06:59,880 --> 00:07:03,820
227
+ sexual harassment on the job between men and women
228
+
229
+ 58
230
+ 00:07:04,960 --> 00:07:13,280
231
+ ุจุญูƒูŠ ุดุบู„ุฉ ู„ู€ Men and Women ุงู„ุงุฑุชูƒุงู„
232
+
233
+ 59
234
+ 00:07:13,280 --> 00:07:16,960
235
+ claimed ุงู„ุงุฑุชูƒุงู„
236
+
237
+ 60
238
+ 00:07:16,960 --> 00:07:20,160
239
+ ุจุชุญูƒูŠ ุงู„ women perceived the problem to be much
240
+
241
+ 61
242
+ 00:07:20,160 --> 00:07:25,600
243
+ more prevalent than dead men ูŠุนู†ูŠ ุงู„ women ุฃูƒุชุฑ
244
+
245
+ 62
246
+ 00:07:25,600 --> 00:07:30,520
247
+ one
248
+
249
+ 63
250
+ 00:07:30,520 --> 00:07:37,710
251
+ question asked of both men and women wasุงู„ู…ู‡ู… 20%
252
+
253
+ 64
254
+ 00:07:37,710 --> 00:07:45,910
255
+ ุงุนุทู‰ 20% ู…ู† ุงู„ุฑุฌุงู„ ู…ู‚ุงุฑู†ุฉ ุจ 62% ู…ู† ุงู„ู…ุฑุฃุฉ ุงุฐุง
256
+
257
+ 65
258
+ 00:07:45,910 --> 00:08:00,510
259
+ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ู…ุฑุฃุฉ 62% ูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ู…ุฑุฃุฉ 24% ุฌูŠุฏ
260
+
261
+ 66
262
+ 00:08:07,150 --> 00:08:11,630
263
+ what should the wall street to showุŸ ู…ูŠู† ูุถู„ ุตุญุŸ
264
+
265
+ 67
266
+ 00:08:11,630 --> 00:08:29,490
267
+ ู‡ูˆ ุจูŠุญูƒูŠ ุงู„ women ุฃุนู„ู‰ ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู„ as a boy ูŠุนู†ูŠ
268
+
269
+ 68
270
+ 00:08:29,490 --> 00:08:35,710
271
+ ู…ุน ูƒุฏู‡ ุงู„ H one ู…ูŠู†
272
+
273
+ 69
274
+ 00:08:35,710 --> 00:08:41,110
275
+ ูุถู„ ุตุญุŸุฏู‰ ู„ุญุธุฉ ุฏู‰ ู„ุฅู† ููŠู‡ุง ุนู†ุฏูƒ ุงู„ by ู„ู„ women
276
+
277
+ 70
278
+ 00:08:41,110 --> 00:08:45,710
279
+ minus ุงู„ by ู„ู„ู…ู† is positive it means this is the
280
+
281
+ 71
282
+ 00:08:45,710 --> 00:08:53,510
283
+ correct answer ุฎู„ุงุต ุฏู‰
284
+
285
+ 72
286
+ 00:08:53,510 --> 00:08:57,690
287
+ is the correct answer ุงู„ู„ู‰
288
+
289
+ 73
290
+ 00:08:57,690 --> 00:09:05,170
291
+ ุจุนุฏู‡ ู†ูุณ ุงู„ุณุคุงู„ suppose that one hundred fifty men
292
+
293
+ 74
294
+ 00:09:06,500 --> 00:09:10,100
295
+ women and 200 men were interviewed ู„ู…ุง ุฃุฎุฏูˆุง ุงู„
296
+
297
+ 75
298
+ 00:09:10,100 --> 00:09:15,340
299
+ sample ูƒุงู† ุงู„ women 150
300
+
301
+ 76
302
+ 00:09:15,340 --> 00:09:22,040
303
+ ูˆ ุงู„ men 200 ุจุณุฃู„ what is the value of the test
304
+
305
+ 77
306
+ 00:09:22,040 --> 00:09:26,620
307
+ statistic ุณุคุงู„ ู…ู‡ู… ุงูŠุด ู‚ูŠู…ุฉ ุงู„ test statistic ุนุดุงู†
308
+
309
+ 78
310
+ 00:09:26,620 --> 00:09:37,920
311
+ ุงุทู„ุน ุงู„ test ู‡ุงูŠ ุงู„ู‚ุงู†ูˆู† P1-P2-Pi 1-Pi 2 Divide by
312
+
313
+ 79
314
+ 00:09:37,920 --> 00:09:42,580
315
+ square root P' Plus
316
+
317
+ 80
318
+ 00:09:42,580 --> 00:09:47,760
319
+ 1 over N2 So in order to compute this z, first
320
+
321
+ 81
322
+ 00:09:47,760 --> 00:09:51,280
323
+ step we have to compute the pooled proportion,
324
+
325
+ 82
326
+ 00:09:51,420 --> 00:10:02,320
327
+ overall proportion P' Now P' equals X1 plus X2 N1
328
+
329
+ 83
330
+ 00:10:02,320 --> 00:10:18,400
331
+ plus N2x1 this is x1 this is x2 this is 150 ู‡ุฏูˆู„
332
+
333
+ 84
334
+ 00:10:18,400 --> 00:10:23,760
335
+ in one and in two ุงู„ู„ูŠ ุทู„ุนู†ุงู‡ู… ู…ุธุจูˆุท
336
+
337
+ 85
338
+ 00:10:23,760 --> 00:10:28,760
339
+ ู‡ุฏูˆู„ interviewed ู…ูŠุฉ ูˆ ุฎู…ุณูŠู† women ูˆ ู…ูŠุชูŠู† men
340
+
341
+ 86
342
+ 00:10:28,760 --> 00:10:36,070
343
+ ูุงู„ู…ู‚ุงู… ุนู†ุฏูŠ ู‡ูŠูƒ150 plus 200 ุทูŠุจ ุงู„ X1 ู‡ูˆ ู…ุงุนุทู†ูŠุด
344
+
345
+ 87
346
+ 00:10:36,070 --> 00:10:40,410
347
+ ุงู„ X1 ู…ุธุจูˆุท ูƒูŠู
348
+
349
+ 88
350
+ 00:10:40,410 --> 00:10:50,390
351
+ ุฃุทู„ุญู‡ุง ุงู„ X1 ู‡ูˆ ุทู„ุน 62 of women ุงู„ู‚ุงู†ูˆู†
352
+
353
+ 89
354
+ 00:10:50,390 --> 00:10:57,670
355
+ ุชุจุน B1 ุนุจุงุฑุฉ ุนู† ุฅูŠุด X1 ุนู„ู‰ N1 ุนู†ุฏู†ุง ุงู„ B1 ู…ุธุจูˆุท ู…ุน
356
+
357
+ 90
358
+ 00:10:57,670 --> 00:11:05,730
359
+ ูƒุฏู‡ ุงู„ X1 ู…ุด ู…ุชุณุงูˆูŠN1B1 ู…ุธุจูˆุท ูˆ X2 ุฒูŠู‡ุง ูŠุง ู…ู…ูƒู†
360
+
361
+ 91
362
+ 00:11:05,730 --> 00:11:12,850
363
+ ุงู„ู‚ุงู†ูˆู† ุงู„ุตุงุฑ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ X1 ู‡ุฏูŠ N1B1 ู…ุธุจูˆุท
364
+
365
+ 92
366
+ 00:11:12,850 --> 00:11:15,870
367
+ ู„ุฃู†ู‡ ู…ุง ุฃุนุทุงู†ูŠุด ุงู„ X direct ุฃุนุทุงู†ูŠ ุงู„ proportion
368
+
369
+ 93
370
+ 00:11:15,870 --> 00:11:26,790
371
+ ุฅู„ุง ู„ูˆ ุญูƒูŠุชู„ูƒ ุงู†ุชูˆุง ุนุฏุฏูƒูˆุง 100 ู…ู„ุงุด 190 ูˆ ุงู„ุทู„ุจุงุช
372
+
373
+ 94
374
+ 00:11:26,790 --> 00:11:36,470
375
+ ุงู„ู…ุดุบุจุงุช ููŠูƒูˆุง 30%ู…ุงุฐุง ู‡ูŠ ุนุฏุฏ ุงู„ู…ุดุงุฑุจูŠู†ุŸ B1 ุนุจุงุฑุฉ
376
+
377
+ 95
378
+ 00:11:36,470 --> 00:11:43,570
379
+ ุนู† X .. ุนุจุงุฑุฉ ุนู† X1 ุนู„ู‰ N1 B1 ุซู„ุงุซุฉ X1 ู…ุด ุนุงุฑูุฉ N1
380
+
381
+ 96
382
+ 00:11:43,570 --> 00:11:49,530
383
+ ุชุณุนูŠู† ูุงู„ X1 ู…ุด ุจุชุณุงูˆูŠ ุงู„ุชู„ุงุชูŠู† ููŠ ุงู„ุชุณุนูŠู† ูŠุนู†ูŠ
384
+
385
+ 97
386
+ 00:11:49,530 --> 00:11:57,990
387
+ ุณุจุนุฉ ูˆ ุนุดุฑูŠู†ุŒ ู…ุธุจูˆุทุŸ ูู‡ุฐู‡ ู‡ุชุณุงูˆูŠ N1 ููŠ B1 ุฎุฏูŠ N1
388
+
389
+ 98
390
+ 00:11:57,990 --> 00:12:04,480
391
+ ู…ูŠุฉ ูˆ ุฎู…ุณูŠู†ุญูƒู‰ ุงู„ women 150 ุถุฑุจ
392
+
393
+ 99
394
+ 00:12:04,480 --> 00:12:13,260
395
+ 62 plus 200 ููŠ 24 over
396
+
397
+ 100
398
+ 00:12:13,260 --> 00:12:20,900
399
+ in one plus in two ุถุฑุจูŠู‡ุง
400
+
401
+ 101
402
+ 00:12:20,900 --> 00:12:21,500
403
+ ู‡ุฏูˆู„ ู‡ุงุช
404
+
405
+ 102
406
+ 00:12:25,650 --> 00:12:30,270
407
+ ู‡ูˆ ุจุณ ู…ุฌุฑุฏ calculations ูŠุนู†ูŠ ู…ุด ุฃูƒุชุฑ ู…ู† ู‡ูŠ 150.62
408
+
409
+ 103
410
+ 00:12:30,270 --> 00:12:39,050
411
+ ุฃุฏูˆู„ 93 ุถุฑุจ
412
+
413
+ 104
414
+ 00:12:39,050 --> 00:12:47,390
415
+ 48 ุจุทู„ุน
416
+
417
+ 105
418
+ 00:12:47,390 --> 00:12:56,150
419
+ ุงู„ุฌูˆุงุจ ุฃู† ู‡ูŠ point four ุชู‚ุฑูŠุจุง zero ุชู‚ุฑูŠุจุง0.4023
420
+
421
+ 106
422
+ 00:12:56,150 --> 00:13:04,190
423
+ ุฃูˆ ุญุงุฌุฉ ุฒูŠ ุฐู„ูƒ ุชู‚ุฑูŠุจุงู‹ ูƒุฐุง ู‡ุฐู‡ ุงู„ู€ B' ู‡ุฐู‡
424
+
425
+ 107
426
+ 00:13:04,190 --> 00:13:11,350
427
+ ู…ุง ู†ุณู…ูŠู‡ุง ุงู„ู€ bold ู„ู…ู†ุŸ ู„ู„ู€ over all proportion
428
+
429
+ 108
430
+ 00:13:11,350 --> 00:13:15,150
431
+ ุฃุฒูŠู‡ุง
432
+
433
+ 109
434
+ 00:13:15,150 --> 00:13:18,410
435
+ ู‡ุชุณุงูˆูŠุŸ ุงู„ู€ B1' ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
436
+
437
+ 110
438
+ 00:13:24,860 --> 00:13:40,340
439
+ 62-24 under square root 0.403 1- 1 over N1 plus 1
440
+
441
+ 111
442
+ 00:13:40,340 --> 00:13:47,140
443
+ over N2 ุงู„ุญู„ ุงู„ุณุคุงู„ุŒ ุฅูŠุด ุงู„ุฌูˆุงุจ ุทู„ุนุŸ
444
+
445
+ 112
446
+ 00:13:47,140 --> 00:13:52,260
447
+ ุดูˆููŠ ููŠ ุงู„ูƒุชุงุจ ุงู„ุณุคุงู„ 70 ุฅูŠุด ุงู„ุฌูˆุงุจุŸ ู‡ุฐู‡ ุทุฑูŠู‚ุฉ
448
+
449
+ 113
450
+ 00:13:52,260 --> 00:13:59,900
451
+ ุงู„ุญู„ุŒ ุจุณ ุทู„ุน ุงู„ุฌูˆุงุจC ู‡ูˆ .. ุงู„ู€ C ู…ู†ุทู‚ .. ุฎู„ู‘ูŠ ุจุงู„ูƒ
452
+
453
+ 114
454
+ 00:13:59,900 --> 00:14:06,100
455
+ ุงู„ู€ B ู…ุด ู…ู†ุทู‚ ู„ูŠุดุŸ ูŠุนู†ูŠ ุงู„ู€ B ู…ุด ุตุญ ุงู„ุชุงุจู„ุงุด
456
+
457
+ 115
458
+ 00:14:06,100 --> 00:14:12,100
459
+ ู‚ูŠู…ุฉ ุงู„ู€ Z ุจุชุทู„ุน ุนุงู„ูŠุฉ ู„ุฃู† ุงู„ู€ B ุนุงู„ูŠุฉุŒ ู‡ุฏูˆู„ุŒ
460
+
461
+ 116
462
+ 00:14:12,100 --> 00:14:15,940
463
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูƒุจูŠุฑ ุงู„ู…ู‡ู… ุฅุฐุง ุญู„ุชูŠู‡ุง ุตุญ ุฅูŠุด ุงู„ุฌูˆุงุจ
464
+
465
+ 117
466
+ 00:14:15,940 --> 00:14:20,940
467
+ ุทู„ุน ููŠ ุงู„ูƒุชุงุจุŸ ุงุนุชุจุฑ ุงู„ุฌูˆุงุจ ุงู„ู€ C ุจุชุชุฃูƒุฏ ู…ู†ู‡ุง ููŠ
468
+
469
+ 118
470
+ 00:14:20,940 --> 00:14:39,160
471
+ ุงู„ุจูŠุชseven one seven three ุงุฐุง seven ู‡ุฐุง
472
+
473
+ 119
474
+ 00:14:39,160 --> 00:14:45,340
475
+ ู†ูุณู‡ ู„ ูˆุงุญุฏ ูˆ ุณุจุนูŠู† ุทูŠุจ
476
+
477
+ 120
478
+ 00:14:45,340 --> 00:14:47,460
479
+ ุงู„ุณุคุงู„ ุงู„ุจุนู†ูˆ ู…ู† ุญู„ ุจุณ ุจุณุฑุนุฉ ุดูˆูŠุฉ
480
+
481
+ 121
482
+ 00:14:57,980 --> 00:15:05,380
483
+ ุฅูŠุด ุงู„ุฌูˆุงุจ ู„ู„ุณุคุงู„ ู‡ุฐุงุŸ ู„ูŠุด ุจูŠู‡ุŸ ู‡ูˆ ุจูŠุญูƒูŠ men and
484
+
485
+ 122
486
+ 00:15:05,380 --> 00:15:10,480
487
+ women ู…ุง ู„ู‡ู… differ ุจูŠุฎุชู„ููˆุง ุนู† ุจุนุถ ุทุงู„ู…ุง ุจูŠุฎุชู„ููˆุง
488
+
489
+ 123
490
+ 00:15:10,480 --> 00:15:13,760
491
+ ูŠุนู†ูŠ ู„ุง ูŠุณุงูˆูŠ ูˆุจุงู„ุชุงู„ูŠ ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ููŠู‡ ู„ุง ูŠุณุงูˆูŠ
492
+
493
+ 124
494
+ 00:15:13,760 --> 00:15:23,380
495
+ ู‡ูŠู‡ุŒ ุฅุฐุง ุงู†ูŠ ุฌูˆุงุจ ุจูŠู‡ุŒ ุฎู„ุงุต ุงู„ุณุคุงู„
496
+
497
+ 125
498
+ 00:15:23,380 --> 00:15:24,000
499
+ ุงู„ุจุนุฏุŒ 72
500
+
501
+ 126
502
+ 00:15:36,630 --> 00:15:40,770
503
+ ุงู„ุณุคุงู„ ุจุญูƒูŠ if the b value turns out to be point
504
+
505
+ 127
506
+ 00:15:40,770 --> 00:15:43,010
507
+ zero two of the b value
508
+
509
+ 128
510
+ 00:15:52,640 --> 00:15:56,480
511
+ ู†ูุชุฑุถ ุงู„ู€ p value 0.35 ุจูŠุญูƒูŠ which is not the real
512
+
513
+ 129
514
+ 00:15:56,480 --> 00:15:59,200
515
+ value of this dataset ู…ุด ุงู„ู‚ูŠู…ุฉ ุงู„ูุนูŠู„ุฉ ู„ูƒู† ู‡ูŠ
516
+
517
+ 130
518
+ 00:15:59,200 --> 00:16:03,900
519
+ ูƒุงู†ุช ู…ุฌุฑุฏ example then ุงู„ู€ p value ุจูŠุณุงูˆูŠ ู‡ูŠูƒ
520
+
521
+ 131
522
+ 00:16:03,900 --> 00:16:08,500
523
+ ุงู„ู‚ุฑุงุฑ reject ูˆู„ุง don't rejectุŸ ุญุณุจ alpha ุทู„ุน and
524
+
525
+ 132
526
+ 00:16:08,500 --> 00:16:13,240
527
+ alpha 4 percent reject ุงุญู†ุง we reject ุงุฐุง ูƒุงู†ุช ุงู„
528
+
529
+ 133
530
+ 00:16:13,240 --> 00:16:17,020
531
+ p value less than alpha ูˆ ุงุฐุง ุญุฏ ุงุตุบุฑ this is
532
+
533
+ 134
534
+ 00:16:17,020 --> 00:16:22,670
535
+ correct answer5% ูŠุฌุจ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
536
+
537
+ 135
538
+ 00:16:22,670 --> 00:16:23,290
539
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
540
+
541
+ 136
542
+ 00:16:23,290 --> 00:16:27,050
543
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
544
+
545
+ 137
546
+ 00:16:27,050 --> 00:16:28,670
547
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
548
+
549
+ 138
550
+ 00:16:28,670 --> 00:16:29,650
551
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
552
+
553
+ 139
554
+ 00:16:29,650 --> 00:16:29,670
555
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
556
+
557
+ 140
558
+ 00:16:29,670 --> 00:16:42,110
559
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
560
+
561
+ 141
562
+ 00:16:42,110 --> 00:16:42,470
563
+ ุชู†ุณ
564
+
565
+ 142
566
+ 00:16:46,190 --> 00:16:51,170
567
+ ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุงู„ุชุฃูƒูŠุฏ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุฃุซุงุฑุฉ ุจุฅู†
568
+
569
+ 143
570
+ 00:16:51,170 --> 00:16:54,970
571
+ ุงู„ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุฃุดูŠุงุก ุงู„ู…ู‡ุชู…ุฉ ู‡ูŠ ุฃูƒุชุฑ ููŠ ุงู„ุฌูˆู„ุฉ
572
+
573
+ 144
574
+ 00:16:54,970 --> 00:17:02,290
575
+ ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ุฌูˆู„ุฉ ุงู„ุซุงู†ูˆูŠุฉ ูˆุงู„ุชุฌุงุฑุจ ู„ู„ู€ z ู‡ูŠ plus 2
576
+
577
+ 145
578
+ 00:17:02,290 --> 00:17:10,170
579
+ .07 ุฒูŠ
580
+
581
+ 146
582
+ 00:17:10,170 --> 00:17:12,790
583
+ 2.07
584
+
585
+ 147
586
+ 00:17:15,740 --> 00:17:24,680
587
+ ูˆุจุญูƒูŠ ุงู„ู€ proportion ู„ู€ group 1 ู…ุงู„ู‡ higher
588
+
589
+ 148
590
+ 00:17:24,680 --> 00:17:35,340
591
+ than proportion ู„ู€ group 2 where the
592
+
593
+ 149
594
+ 00:17:35,340 --> 00:17:37,960
595
+ difference is defined as group 1 proportion minus
596
+
597
+ 150
598
+ 00:17:37,960 --> 00:17:41,880
599
+ group 2 proportion the b value is equal to
600
+
601
+ 151
602
+ 00:17:46,790 --> 00:17:56,690
603
+ greater ูˆู„ุง ุฃู‚ู„ ู‡ุฐุง ุฃูƒุจุฑ ู…ุธุจูˆุท ูุจุงู„ุซุงู†ูŠุฉ one minus
604
+
605
+ 152
606
+ 00:17:56,690 --> 00:18:06,710
607
+ ุฒูŠ ุฃู‚ู„ one minus two point zero seven ู‡ุงูŠ ุงู„ table
608
+
609
+ 153
610
+ 00:18:06,710 --> 00:18:14,090
611
+ ู‡ุงูŠ
612
+
613
+ 154
614
+ 00:18:14,090 --> 00:18:15,770
615
+ ุงู„ zero ู„ุบุงูŠุฉ ุงู„ุณุจุนุฉ
616
+
617
+ 155
618
+ 00:18:21,600 --> 00:18:39,200
619
+ 9808 ูŠุนู†ูŠ 0182 ู‡ุฐุง ู‚ูŠู…ุฉ ุงู„ู€ P value ุฅุฐุง
620
+
621
+ 156
622
+ 00:18:39,200 --> 00:18:43,560
623
+ ุงู„ P value ุงู„ุฌูˆุงุจ 0 182
624
+
625
+ 157
626
+ 00:18:48,780 --> 00:18:57,340
627
+ ู‡ุฐู‡ ุงู„ุณุคุงู„ ุชู„ุงุชุฉ ุณุจู†ุชู‰ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
628
+
629
+ 158
630
+ 00:18:57,340 --> 00:19:00,960
631
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
632
+
633
+ 159
634
+ 00:19:00,960 --> 00:19:01,980
635
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
636
+
637
+ 160
638
+ 00:19:01,980 --> 00:19:02,880
639
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
640
+
641
+ 161
642
+ 00:19:02,880 --> 00:19:04,800
643
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
644
+
645
+ 162
646
+ 00:19:04,800 --> 00:19:05,400
647
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
648
+
649
+ 163
650
+ 00:19:05,400 --> 00:19:07,540
651
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
652
+
653
+ 164
654
+ 00:19:07,540 --> 00:19:14,210
655
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃู„ูˆ ุจุนู…ู„ testing ู„ู„ proportion
656
+
657
+ 165
658
+ 00:19:14,210 --> 00:19:22,210
659
+ ุจุณุชุฎุฏู… two tail ู…ู…ูƒู† ูˆุงุญุฏ ู…ู…ูƒู† ุงุฐุง true ูˆุงุถุญ ู„ูƒู†
660
+
661
+ 166
662
+ 00:19:22,210 --> 00:19:27,430
663
+ ู„ูˆ ุญูƒู‰ you only ู„ูˆ ุญูƒู‰ only ุจุณ ุบู„ุท ู„ุงู† one tail ุงูˆ
664
+
665
+ 167
666
+ 00:19:27,430 --> 00:19:36,970
667
+ two tail test ุงู„ุณุคุงู„
668
+
669
+ 168
670
+ 00:19:36,970 --> 00:19:39,910
671
+ ู‡ุฐุง ูŠุนู†ูŠ ู…ูŠุนุทูŠูƒูŠ output ุฌุงู‡ุฒ ูŠุนู†ูŠ ู…ูŠุนุทูŠูƒูŠ results
672
+
673
+ 169
674
+ 00:19:39,910 --> 00:19:46,550
675
+ ุฌุงู‡ุฒุฉุงู„ุณูŠู†ุงุฑูŠูˆ ู‡ูˆ ุนุดุฑุฉ ุชุณุนุฉ ูŠุนู†ูŠ ุงู†ุง ู…ุด ู…ุงุจุนุทูŠู†ูŠ
676
+
677
+ 170
678
+ 00:19:46,550 --> 00:19:52,230
679
+ ุงู„ู€ hypothesized difference zero ุงู„ level of
680
+
681
+ 171
682
+ 00:19:52,230 --> 00:19:55,390
683
+ significance point zero five ู…ุงุจุนุทูˆู†ูŠ group one
684
+
685
+ 172
686
+ 00:19:55,390 --> 00:19:58,910
687
+ number of items of interest hundred and sixty
688
+
689
+ 173
690
+ 00:19:58,910 --> 00:20:05,250
691
+ sample size two hundred ูŠุนู†ูŠ ู‡ุฐุง Alpha ู…ุธุจูˆุท ูˆู‡ุฐุง
692
+
693
+ 174
694
+ 00:20:05,250 --> 00:20:10,990
695
+ N1 ู‡ุฐุง X1 ูˆู‡ุฐุง N1 group two
696
+
697
+ 175
698
+ 00:20:36,530 --> 00:20:37,930
699
+ Ix2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x
700
+
701
+ 176
702
+ 00:20:41,090 --> 00:20:45,010
703
+ ุดูˆู ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ู‡ุฑุงูŠุญูƒุŒ ู‡ุฌูŠุจูƒ ุดุบู„ ุฒูŠ ูƒุฏู‡ุŒ
704
+
705
+ 177
706
+ 00:20:45,010 --> 00:20:48,090
707
+ ุฎู„ุงุตุŸ
708
+
709
+ 178
710
+ 00:20:48,090 --> 00:20:54,210
711
+ ุจุฏู„ ูˆุญุชูŠูƒูˆุง ุฅูŠุด ุงู†ุช ุจู‚ู‰ุŒ ู„ู…ุง ุจุชุณู…ุน ุงุณู… ุงู„ุงู…ุชุญุงู† ุฃูˆ
712
+
713
+ 179
714
+ 00:20:54,210 --> 00:20:59,650
715
+ ุญุงุฌุฉ ุจุฏู‡ุง ู„ุบูŠุŒ ุชู„ุบูŠ ุงู„ุดุบู„ ุงู„ู„ูŠ ูƒู„ู‡ ู…ูุชุงุญุŒ ูู„ุงู† ููŠ
716
+
717
+ 180
718
+ 00:20:59,650 --> 00:21:03,010
719
+ ุงู„ุงู…ุชุญุงู† ู‡ุฌูŠุจูƒ ุดุบู„ ุฒูŠ ูƒุฏู‡ุŒ ูŠุนู†ูŠ ู‡ุฌูŠุจู„ูƒ results
720
+
721
+ 181
722
+ 00:21:03,010 --> 00:21:08,220
723
+ ุฌุงู‡ุฒุฉุŒ ูŠุนู†ูŠ ุงู„ B-Dash ู‡ุชูˆุญูŠ ุญุงุทูŠูƒู… ุฌุงู‡ุฒุฉูˆุงู„ู€ P'
724
+
725
+ 182
726
+ 00:21:08,420 --> 00:21:11,320
727
+ ู‡ุชุนุทูŠูƒ ุฅูŠุงู‡ุง ุฌู‡ุฒุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ overall ูˆ ุงู„ู€ Z
728
+
729
+ 183
730
+ 00:21:11,320 --> 00:21:17,200
731
+ ู‡ุชุนุทูŠูƒ ุฅูŠุงู‡ุง ุฌู‡ุฒุฉ ุฎู„ุงุตุŸ ูƒูˆูŠุณ ู‡ูŠูƒุŸ ู‡ุฐุง ุฃูƒุจุฑ deal
732
+
733
+ 184
734
+ 00:21:17,200 --> 00:21:21,060
735
+ ุจุนู…ู„ู‡ ู…ุนุงูƒ ูˆ
736
+
737
+ 185
738
+ 00:21:21,060 --> 00:21:28,000
739
+ ุจู†ุงุก ุนู„ูŠู‡ุง ุชุดุชุบู„ุŒ ุฎู„ุงุตุŸ ู‡ุฐูˆู„ ู‚ูŠู…ุฉ ูุฑุถ ู…ูˆุฌูˆุฏุฉ ุฎู„ู‘ูŠู†
740
+
741
+ 186
742
+ 00:21:28,000 --> 00:21:30,820
743
+ ู†ุดูˆู ุฅูŠุด ุงู„ู…ุทู„ูˆุจุŒ ู„ุญุธุฉ ุฃู†ุง ูƒุชุจุช ุฃู…ุงู… ูƒู„ ูˆุงุญุฏุฉ ุฅูŠุด
744
+
745
+ 187
746
+ 00:21:30,820 --> 00:21:35,420
747
+ ู…ุนู†ุงู‡ุง ุทุจุนุง ู‡ุฐู‡ ู…ุนู†ุงู‡ุง ุฃู† ุงู„ู€ ฯ€ุงูŠ ูˆู† minus ุจุงูŠ ุชูˆูŠ
748
+
749
+ 188
750
+ 00:21:35,420 --> 00:21:41,010
751
+ ุฃูƒุจุฑ ุฒูŠู‡ู…ุฎู„ุงุต ุฃู†ุง ุจูˆุนุฏูƒ ุงู„ุขู† ุณุคุงู„ูŠู† ููŠ ุงู…ุชุญุงู† ุฒูŠ
752
+
753
+ 189
754
+ 00:21:41,010 --> 00:21:46,570
755
+ ู‡ูŠูƒ ูˆุงุญุฏุฉ ุฒูŠ ู‡ุฐู‡ ูˆูˆุงุญุฏุฉ ุฒูŠ ุงู„ุชุงู†ูŠุฉ ูˆ
756
+
757
+ 190
758
+ 00:21:46,570 --> 00:21:51,050
759
+ .. ูˆ multiple choice ุงู„ุดูŠุก ุงู„ู„ูŠ ูƒุงู†ุช ุฎููŠูุฉ ุงู„ุดูŠุก
760
+
761
+ 191
762
+ 00:21:51,050 --> 00:21:58,230
763
+ ุงู„ู„ูŠ ูƒุงู†ุช ุฎููŠูุฉ ุงู„ุดูŠุก ุงู„ู„ูŠ ูƒุงู†ุช ุฎููŠูุฉ ู‡ุฐู‡ ู„ุณู‡ ู„ุฃ
764
+
765
+ 192
766
+ 00:21:58,230 --> 00:22:01,230
767
+ ู…ุนู†ุงู‡ุง ุงู„ุทุงู„ุจ ุจุฏู‡ ูŠูู‡ู…ุด ุจุฏู‡ ูŠุญู„ ุงู„ุณุคุงู„ ุงู„ุชุงู†ูŠ
768
+
769
+ 193
770
+ 00:22:13,890 --> 00:22:17,170
771
+ ุงู„ุฎุทุฃ ุงู„ุชุงู„ูŠุŒ ุชุณู…ุญ ู„ุดุฎุต ูˆุงุญุฏ ุจุงู„ูุฑุตุฉ ุงู„ุชูŠ ุชู‚ูˆู…
772
+
773
+ 194
774
+ 00:22:17,170 --> 00:22:23,090
775
+ ุจุงู„ุฎุทุฃ ุงู„ูˆุงุญุฏุฉ ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ู…ุง ู‡ูŠ ู…ุนู†ุงู‡ุงุŸ
776
+
777
+ 195
778
+ 00:22:23,090 --> 00:22:27,790
779
+ ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ู…ุด ู…ุนู†ุงู‡ุง ุจุงู„ุนุฑุจูŠ ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุง ููŠ
780
+
781
+ 196
782
+ 00:22:27,790 --> 00:22:28,370
783
+ ุงู„ู…ุนุงู…ู„ุงุชุŸ
784
+
785
+ 197
786
+ 00:22:30,840 --> 00:22:33,600
787
+ ู…ุฑุฉ ุชุงู†ูŠุฉ what does this sentence mean in
788
+
789
+ 198
790
+ 00:22:33,600 --> 00:22:36,860
791
+ statistics it says allowing for one person
792
+
793
+ 199
794
+ 00:22:36,860 --> 00:22:40,940
795
+ probability of committing a type one error ุงูŠุด ..
796
+
797
+ 200
798
+ 00:22:40,940 --> 00:22:50,280
799
+ ุงูŠุด ุชู‚ุงุจู„ ููŠ ุงู„ุญุตุฉ ุงู„ alpha ุทูŠุจ ู„ูŠุด ุงู„ alpha ุงู„
800
+
801
+ 201
802
+ 00:22:50,280 --> 00:22:57,440
803
+ alpha is if you remember alpha is a probability of
804
+
805
+ 202
806
+ 00:22:57,440 --> 00:23:03,150
807
+ committing type one error ุจุธุจุทุฅุฐุงู‹ ู‡ุฐุง ุงู„ู„ูŠ ูŠุนุทูŠูƒ
808
+
809
+ 203
810
+ 00:23:03,150 --> 00:23:08,650
811
+ ุฅูŠุงู‡ุง ุนุจุงุฑุฉ ุนู† Alpha ูˆุงุถุญุŸ ุทูŠุจุŒ what are the
812
+
813
+ 204
814
+ 00:23:08,650 --> 00:23:13,750
815
+ decision and conclusion in testing whether there
816
+
817
+ 205
818
+ 00:23:13,750 --> 00:23:16,850
819
+ is any difference in the proportions of satisfied
820
+
821
+ 206
822
+ 00:23:16,850 --> 00:23:22,550
823
+ customers in the two resortsุŸ ุงู„ B value ู…ุงุนุทุงู†ูŠุด
824
+
825
+ 207
826
+ 00:23:22,550 --> 00:23:27,210
827
+ ุฅูŠุงู‡ุง ู…ุธุจูˆุทุŒ ู‡ุงูŠ ุงู„ B value ู…ุงุนุทุงู†ูŠ ุฅูŠุงู‡ุง ู‡ูˆ ู…ุด
828
+
829
+ 208
830
+ 00:23:27,210 --> 00:23:29,990
831
+ ุจูŠุฎู„ูŠ ุญุงุฌุฉ ูŠุนู†ูŠุŒ ู„ุฃ ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ู…ุด ุฏุนูŠุช ู‡ู†ุง
832
+
833
+ 209
834
+ 00:23:29,990 --> 00:23:36,170
835
+ ุญุตู„ู„ุฃ ููŠ ุงู„ุงู…ุชุญุงู†ุฉ ู‡ูˆุตู„ูƒ ู„ุบุงูŠุฉ ุงู„ Z ููŠ
836
+
837
+ 210
838
+ 00:23:36,170 --> 00:23:39,670
839
+ ุงู„ุงู…ุชุญุงู†ุฉ ู‡ุนุทูŠูƒ ุงู„ Z ุจุณ ู‡ุนุทูŠูƒ ุงู„ P valueุŸ ุทุจุนุง
840
+
841
+ 211
842
+ 00:23:39,670 --> 00:23:45,050
843
+ ุฃูƒูŠุฏ ู„ุฃ ุดูˆู ุงู„ P value ู‡ูŠ ุฏูŠ ู†ูุชุฑุถ ุทู„ุจุช ู…ู†ูƒ
844
+
845
+ 212
846
+ 00:23:45,050 --> 00:23:49,670
847
+ ุชุญุณุจูŠู‡ุง ุฎูŠู†ุง ู†ุญุณุจู‡ุง ู…ุน ุจุนุถ ุฎู„ุงุต ุงู„ P value ู…ุด
848
+
849
+ 213
850
+ 00:23:49,670 --> 00:23:59,510
851
+ ู‡ุนุทูŠูƒ ุฅูŠุงู‡ุง ุฎูŠู†ุง ู†ุทู„ุน ุงู„ P value ููŠ ุงู„ุฃูˆู„ ุงู„
852
+
853
+ 214
854
+ 00:23:59,510 --> 00:24:00,510
855
+ P value ุดูˆ ุชุณุงูˆูŠุŸ
856
+
857
+ 215
858
+ 00:24:07,850 --> 00:24:12,430
859
+ ุงู„ุณุคุงู„ two type ูˆู„ุง one typeุŸ two ู„ุฃู† ุงู„ุญูƒุงูŠุฉ ..
860
+
861
+ 216
862
+ 00:24:12,430 --> 00:24:15,870
863
+ if
864
+
865
+ 217
866
+ 00:24:15,870 --> 00:24:21,130
867
+ there is any difference ุฃู†ุณู‰ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‡ู†ุง ู…ุนู†ุงู‡
868
+
869
+ 218
870
+ 00:24:21,130 --> 00:24:29,170
871
+ ูƒุฏู‡ ุนุงูŠุฒ ุฃุนู…ู„ two greater than two point six eight
872
+
873
+ 219
874
+ 00:24:29,170 --> 00:24:46,990
875
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ู‡ูŠูƒ ู…ุด ู‡ูŠูƒูˆุงุญุฏ ู†ุงู‚ุต 268
876
+
877
+ 220
878
+ 00:24:46,990 --> 00:24:57,390
879
+ ู‡ุงูŠ
880
+
881
+ 221
882
+ 00:24:57,390 --> 00:24:58,210
883
+ 2.6
884
+
885
+ 222
886
+ 00:25:04,240 --> 00:25:12,140
887
+ 9963 ู…ุธุจูˆุท ุฅุฐุง 9963
888
+
889
+ 223
890
+ 00:25:12,140 --> 00:25:18,200
891
+ 0037
892
+
893
+ 224
894
+ 00:25:18,200 --> 00:25:23,560
895
+ 74
896
+
897
+ 225
898
+ 00:25:23,560 --> 00:25:27,460
899
+ ูุชู‚ุฑูŠุจุง ุงู„ุฌูˆุงุจ 0074
900
+
901
+ 226
902
+ 00:25:34,540 --> 00:25:40,760
903
+ ูˆุงุถุญ 007 ุฃู†ุง ูƒุชุจู‡ุง four ูˆ ุชู‚ุฑูŠุจุง 73 ูˆุงุถุญ ุฃู†ู‡
904
+
905
+ 227
906
+ 00:25:40,760 --> 00:25:46,620
907
+ ุชู‚ุฑูŠุจุง ู†ูุณ ุงู„ู„ูŠ ุฌุงุจู‡ุง ุจุณ ู…ู‚ุฑุจุฉ ู‡ุฐุง ู„ูˆ ูƒุงู† two
908
+
909
+ 228
910
+ 00:25:46,620 --> 00:25:50,480
911
+ -tailed ู„ูˆ ูƒุงู† one-tailed to the right ุฅูŠุด ุงู„ุฌูˆุงุจ
912
+
913
+ 229
914
+ 00:25:50,480 --> 00:25:57,420
915
+ ุญูŠูƒูˆู†ุŸ ู‡ุฐุง two-tailedุŒ ุจุธุจุทุŸ ุทูŠุจ ู„ูˆ ูƒุงู† one-tailed
916
+
917
+ 230
918
+ 00:25:59,080 --> 00:26:03,520
919
+ to the right ุงุชุด ุทุงู„ุน ู…ุนุงูŠุง to the right ุฑู‚ุต ูƒูˆูŠุณ
920
+
921
+ 231
922
+ 00:26:03,520 --> 00:26:08,400
923
+ ุงู„ุชู†ุชูŠู† ู…ุน ุจุนุถ ุงู„ z ุทู„ุนุช positive ู…ุธุจูˆุท ุงู„ z
924
+
925
+ 232
926
+ 00:26:08,400 --> 00:26:13,780
927
+ positive ุงู„ z ู‡ูŠู‡ุง ู„ูˆ ูƒุงู† to the right ูƒู„ ู…ุณุงุญุฉ
928
+
929
+ 233
930
+ 00:26:13,780 --> 00:26:17,300
931
+ ู‡ุฐู‡ ู…ุธุจูˆุท ุงู„ z greater ุฏู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง
932
+
933
+ 234
934
+ 00:26:17,300 --> 00:26:22,980
935
+ ุจุณ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูู„ูˆ ุจู‚ุณู…ู‡ุง ุงุชู†ูŠู† ุงู„ุฌูˆุงุจุด ู‡ูŠุทู„ุน zero
936
+
937
+ 235
938
+ 00:26:22,980 --> 00:26:26,820
939
+ zero zero three seven ุฎู„ุงุต
940
+
941
+ 236
942
+ 00:26:29,270 --> 00:26:37,790
943
+ ูˆู„ูˆ ูƒุงู†ุช one tiled to the left ุฅูŠุด ุงู„ุฌูˆุงุจุŸ to the
944
+
945
+ 237
946
+ 00:26:37,790 --> 00:26:41,910
947
+ left ูŠุนู†ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงุŒ ู†ุธุงู…ุŸ z ุฃู‚ู„ุŒ ู„ุญุธุฉุŒ z
948
+
949
+ 238
950
+ 00:26:41,910 --> 00:26:46,450
951
+ ุฃู‚ู„ ูŠุนู†ูŠ positive ูƒู„ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ู†ู‚ุต
952
+
953
+ 239
954
+ 00:26:46,450 --> 00:26:50,770
955
+ ุงู„ู„ูŠ ุทู„ุนุชู‡ุง ุฅุฐุง one minus zero zero three seven
956
+
957
+ 240
958
+ 00:26:50,770 --> 00:26:54,590
959
+ ูˆุงุถุญุŒ
960
+
961
+ 241
962
+ 00:26:54,590 --> 00:27:00,150
963
+ nine nine six threeุฃู†ุง ุจุญู‚ู‚ ุงู„ุณุคุงู„ ุชุงู†ูŠ ู…ุด ุฅุชุดุงุฑุงุช
964
+
965
+ 242
966
+ 00:27:00,150 --> 00:27:04,210
967
+ ุชุงู†ูŠุฉ ู†ุฑุฌุน ู„ู€ 75 ุงู„ู„ูŠ ุฒูŠ ุทู„ุนุช ู…ุนุงูŠุง ุงู„ู€ B value
968
+
969
+ 243
970
+ 00:27:04,210 --> 00:27:10,330
971
+ 0074 ุฒูŠ ุชู‚ุฑูŠุจุง ู…ุง ุฃุนุทุงู†ูŠู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ ุจู†ุงุก ุนู„ู‰
972
+
973
+ 244
974
+ 00:27:10,330 --> 00:27:15,530
975
+ ูƒุฏู‡ ุฅูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนู†ุงุŸ ุฃูŠ ุญุงุฌุฉ ููŠู‡ุง don't reject ู…ุด
976
+
977
+ 245
978
+ 00:27:15,530 --> 00:27:23,250
979
+ ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ุฐุง 0074 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ less than
980
+
981
+ 246
982
+ 00:27:23,250 --> 00:27:29,640
983
+ AlphaุŒ ู…ุธุจูˆุทุŸ Alpha ูƒุฏู‡ ุฅูŠุด ูƒุงู†ุชุŸุฃุนุทุงู†ูŠู‡ุง 1% ุฃุนุชู‚ุฏ
984
+
985
+ 247
986
+ 00:27:29,640 --> 00:27:34,900
987
+ ุฃุนุทุงู†ูŠู‡ุง ูˆุงุญุฏุŒ ู…ุง ุญูƒูŠู†ุง ุนู„ูŠู‡ ู‡ูŠ ูˆุงุถุญ ุฃู†ู‡ุง ุฃุตุบุฑ ู…ู†
988
+
989
+ 248
990
+ 00:27:34,900 --> 00:27:39,020
991
+ ูˆุงุญุฏุŒ ุญุชู‰ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŒ 007 ู…ุงู„ุงูƒูŠุฏ ุงู„ุฃุตุบุฑ ู…ู† ูˆุงุญุฏ
992
+
993
+ 249
994
+ 00:27:39,020 --> 00:27:44,080
995
+ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉ ูˆู„ุง ู„ุฃุŸ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ู‚ูŠู…ุชูƒ ูƒุงู†ุช ุฃุตุบุฑ
996
+
997
+ 250
998
+ 00:27:44,080 --> 00:27:48,760
999
+ ู…ู† ูˆุงุญุฏุŒ ู„ูŠู‡ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŸ
1000
+
1001
+ 251
1002
+ 00:27:48,760 --> 00:27:52,120
1003
+ if P value is smaller than Alpha Alpha is one
1004
+
1005
+ 252
1006
+ 00:27:52,120 --> 00:27:57,130
1007
+ percentI mean if we reject at one percent do we
1008
+
1009
+ 253
1010
+ 00:27:57,130 --> 00:28:00,390
1011
+ still reject at any level greater than alphaุŸ ุฃูƒูŠุฏ
1012
+
1013
+ 254
1014
+ 00:28:00,390 --> 00:28:07,790
1015
+ ุทูŠุจ ุทุจุนุง ุฅุฐุง ู‡ุฐู‡ ุบู„ุท ูˆู‡ุฐู‡ ุบู„ุท reject the null
1016
+
1017
+ 255
1018
+ 00:28:07,790 --> 00:28:11,770
1019
+ hypothesis there is enough evidence to conclude
1020
+
1021
+ 256
1022
+ 00:28:11,770 --> 00:28:14,690
1023
+ that there is significant difference ู‡ุฐู‡ ู…ุธุจูˆุทุฉ
1024
+
1025
+ 257
1026
+ 00:28:14,690 --> 00:28:21,960
1027
+ ุงู„ูุฑู‚ ุนู†ู‡ุง none ุฅุฐุง the correct answer is aูˆุงุถุญ
1028
+
1029
+ 258
1030
+ 00:28:21,960 --> 00:28:26,640
1031
+ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญ ูŠุนู†ูŠ ุฃู† A ู‡ูˆ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ููŠ ุฃูŠ
1032
+
1033
+ 259
1034
+ 00:28:26,640 --> 00:28:31,860
1035
+ ุณุคุงู„ุŸ ุงู„ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ุงู„ู€ Z ู…ุงุชูŠู†ูŠ ุฅูŠุงู‡ุง ุทู„ุจุช ู…ู†ูƒ
1036
+
1037
+ 260
1038
+ 00:28:31,860 --> 00:28:37,440
1039
+ ุชุญุณุจ ุงู„ B value ู‡ูŠูƒ ุญุณุจุชู‡ุงุŸ ูˆุงุถุญ ุจุนุฏูŠู† ุทู„ุนู†ุง
1040
+
1041
+ 261
1042
+ 00:28:37,440 --> 00:28:40,060
1043
+ conclusion ู†ุญู† ู†ุชูุฑุฌ ุนู† ุงู„hypothesis ุงู„ู€ null it
1044
+
1045
+ 262
1046
+ 00:28:40,060 --> 00:28:43,500
1047
+ means there is enough evidence to conclude there
1048
+
1049
+ 263
1050
+ 00:28:43,500 --> 00:28:45,800
1051
+ is significant difference in the proportions of
1052
+
1053
+ 264
1054
+ 00:28:45,800 --> 00:28:55,170
1055
+ satisfied guests at the two resortsุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ
1056
+
1057
+ 265
1058
+ 00:28:55,170 --> 00:28:58,510
1059
+ ุจุนุฏู‡ ุงู„ู„ูŠ ุจุนุฏู‡ ุจุญูƒูŠ referring to the same scenario
1060
+
1061
+ 266
1062
+ 00:28:58,510 --> 00:29:04,810
1063
+ 10 9 if you want to test the claim that group one
1064
+
1065
+ 267
1066
+ 00:29:04,810 --> 00:29:09,410
1067
+ has higher proportion group one is higher the
1068
+
1069
+ 268
1070
+ 00:29:09,410 --> 00:29:15,530
1071
+ rights one till is higher the b value will be is
1072
+
1073
+ 269
1074
+ 00:29:15,530 --> 00:29:23,600
1075
+ higher 0037 ู‡ูˆ ู…ุด ูˆุงุญุฏ ู„ู†ุงุงู„ู„ูŠ 00 ูˆุงู„ุฑุงุญุงุช ุงู„ู„ูŠ ู‡ูŠ
1076
+
1077
+ 270
1078
+ 00:29:23,600 --> 00:29:30,560
1079
+ one minus ู‡ุฏู‰ ูˆู„ุง ุงูŠ ูˆุงุญุฏุฉ ููŠู‡ู… ุงู„ .. ุงู†ุง ู…ุงุจุญูƒูŠ
1080
+
1081
+ 271
1082
+ 00:29:30,560 --> 00:29:36,760
1083
+ ุงูŠุด ู„ูˆ one .. tailed test ู‡ุงูŠ
1084
+
1085
+ 272
1086
+ 00:29:36,760 --> 00:29:41,820
1087
+ ุงู„ two-tailed ู…ู† ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ two-tailed ุงู„ุฌูˆุงุจ
1088
+
1089
+ 273
1090
+ 00:29:41,820 --> 00:29:49,320
1091
+ ู‡ู†ุงุฎุฏ ุฌูˆุงุจ ู…ู† ุงู„ูƒุชุงุจ 0072 ูƒูˆูŠุณุŸ ู‡ุงุฏ ุงู„ two-tailed
1092
+
1093
+ 274
1094
+ 00:29:50,740 --> 00:29:54,460
1095
+ ุนุงูŠุฒุฉ one tail to the rightุŒ ุฅูŠุด ุจุนู…ู„ุŸ ุจุฌุณู…ู‡ุง
1096
+
1097
+ 275
1098
+ 00:29:54,460 --> 00:29:59,800
1099
+ ุงุชู†ูŠู†ุŒ ุฅุฐุง ุงู„ุฌูˆุงุจ ู…ูŠู†ุŸ ุงูŠู‡ุŸ ู„ุญุธุฉ ุจูŠู‡ one minus ู…ุด
1100
+
1101
+ 276
1102
+ 00:29:59,800 --> 00:30:07,060
1103
+ ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ุงู„ุจุฑูˆุจุฑุช ุงู„ู„ูŠ ุทู„ุนุช ุทู„ุนุช ู„ two
1104
+
1105
+ 277
1106
+ 00:30:07,060 --> 00:30:13,340
1107
+ tailsุŒ ู…ุธุจูˆุทุŸ ู„ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠุŒ ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠ ู…ุน ุจุนุถ ุฅุฐุง
1108
+
1109
+ 278
1110
+ 00:30:13,340 --> 00:30:15,920
1111
+ ุงู„ correct answer is aุŒ ุงู„ู„ูŠ ุจุนุฏู‡
1112
+
1113
+ 279
1114
+ 00:30:20,790 --> 00:30:23,230
1115
+ ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุชุฌุงุฑุฉ ุงู„ู€ CLIMB ูˆ ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ 1
1116
+
1117
+ 280
1118
+ 00:30:23,230 --> 00:30:25,770
1119
+ ู„ุฏูŠู‡ุง ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1120
+
1121
+ 281
1122
+ 00:30:25,770 --> 00:30:31,230
1123
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1124
+
1125
+ 282
1126
+ 00:30:31,230 --> 00:30:35,830
1127
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1128
+
1129
+ 283
1130
+ 00:30:35,830 --> 00:30:37,950
1131
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1132
+
1133
+ 284
1134
+ 00:30:37,950 --> 00:30:43,590
1135
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1136
+
1137
+ 285
1138
+ 00:30:43,590 --> 00:30:46,030
1139
+ ุชู‚ู„ูŠู„ ุชู‚
1140
+
1141
+ 286
1142
+ 00:30:51,860 --> 00:30:57,540
1143
+ ุดูˆู ุฃูŠ ุณุคุงู„ ุฃูŠ ุณุคุงู„ ุณูˆุงุก ููŠ ุงู„ homework ุฃูˆ ููŠ ู‡ุฐุง
1144
+
1145
+ 287
1146
+ 00:30:57,540 --> 00:31:10,780
1147
+ ุงู„ุงุณู„ุญุฉ ููŠู‡ุง confidence interval ุชู„ุบูŠู‡ู… ุงู†ุญู„
1148
+
1149
+ 288
1150
+ 00:31:10,780 --> 00:31:14,560
1151
+ ุงุฎุฑ ูˆุงุญุฏ ุงุฎุฑ ุณุคุงู„
1152
+
1153
+ 289
1154
+ 00:31:28,830 --> 00:31:34,430
1155
+ ุงู„ุฑุฆูŠุณ .. ู†ุนู…
1156
+
1157
+ 290
1158
+ 00:31:34,430 --> 00:31:41,470
1159
+ ุงู„ูุชูˆู‰ุŒ ุฑุฆูŠุณ ุงู„ู…ุฏุฑุณุฉ ู…ู‡ุชู… ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุฏุฑุณูŠู†
1160
+
1161
+ 291
1162
+ 00:31:41,470 --> 00:31:49,120
1163
+ ู…ู† ู…ุฏุฑุณุชู‡ ุงู„ุฐูŠู† ูŠู…ุชู„ูƒูˆุง ุนุฑุถ ุนู…ู„ ุนู„ู‰ ูŠูˆู… ุงู„ู…ุฏุฑุณุฉู‡ูˆ
1164
+
1165
+ 292
1166
+ 00:31:49,120 --> 00:31:53,740
1167
+ ู…ู‡ุชู… ุจุงู„ุชุญู‚ูŠู‚ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ููŠ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ
1168
+
1169
+ 293
1170
+ 00:31:53,740 --> 00:32:02,600
1171
+ ู„ุชุญู‚ูŠู‚ ูˆู…ุนุงู„ุฌุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ูŠุนู†ูŠ ูู‡ูŠ ุนู†ุฏู‡ ุงุชูุงู‚ูŠู† ุงูˆ
1172
+
1173
+ 294
1174
+ 00:32:02,600 --> 00:32:08,660
1175
+ ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู† ุงูˆ ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู†
1176
+
1177
+ 295
1178
+ 00:32:08,660 --> 00:32:12,660
1179
+ In a random sample of a hundred of each type of
1180
+
1181
+ 296
1182
+ 00:32:12,660 --> 00:32:18,810
1183
+ major at graduation ุฃุฎุฏ ู…ูŠุฉ ู…ู† ุงู„ุฃูˆู„ูˆู…ูŠุฉ ู…ู†
1184
+
1185
+ 297
1186
+ 00:32:18,810 --> 00:32:25,330
1187
+ ุงู„ุชุงู†ูŠุฉ ู…ุด ุฎู…ุณูŠู† ุฎู…ุณูŠู† ู„ุงุญุธุด ุญูƒู‰ in a random
1188
+
1189
+ 298
1190
+ 00:32:25,330 --> 00:32:29,790
1191
+ sample of a hundred of each ู…ูŠุฉ ู…ู† ูƒู„ ูˆุงุญุฏ ูƒูˆูŠุณุฉ
1192
+
1193
+ 299
1194
+ 00:32:29,790 --> 00:32:38,630
1195
+ he found that 65 accounting majors 65 ู…ู† ู‡ู†ุง and
1196
+
1197
+ 300
1198
+ 00:32:38,630 --> 00:32:45,150
1199
+ 52 economics majors ู‡ุฏูˆู„
1200
+
1201
+ 301
1202
+ 00:32:45,150 --> 00:32:48,880
1203
+ ู…ุง ู‡ู…ู‡ูˆ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„
1204
+
1205
+ 302
1206
+ 00:32:48,880 --> 00:32:53,360
1207
+ ูˆูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1208
+
1209
+ 303
1210
+ 00:32:53,360 --> 00:32:59,300
1211
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ
1212
+
1213
+ 304
1214
+ 00:32:59,300 --> 00:33:03,940
1215
+ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆ๏ฟฝ๏ฟฝุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1216
+
1217
+ 305
1218
+ 00:33:03,940 --> 00:33:03,980
1219
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1220
+
1221
+ 306
1222
+ 00:33:03,980 --> 00:33:04,440
1223
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1224
+
1225
+ 307
1226
+ 00:33:04,440 --> 00:33:12,970
1227
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†referring to this
1228
+
1229
+ 308
1230
+ 00:33:12,970 --> 00:33:16,950
1231
+ scenario the hypo .. the hypothesis the Dean
1232
+
1233
+ 309
1234
+ 00:33:16,950 --> 00:33:19,990
1235
+ should be used are ุฅูŠุด hypothesisุŸ null and
1236
+
1237
+ 310
1238
+ 00:33:19,990 --> 00:33:26,170
1239
+ alternate ู‡ูˆ ุฅูŠุด ุญูƒู‰ุŸ ุจูƒ ุชุทู„ุน ุงู„ู…ุซู„ุฉุŒ ุจุญูƒูŠ he is
1240
+
1241
+ 311
1242
+ 00:33:26,170 --> 00:33:30,130
1243
+ interested in seeing if there is significant
1244
+
1245
+ 312
1246
+ 00:33:30,130 --> 00:33:36,750
1247
+ difference in this proportion ู…ุงุญูƒูŠุด ู…ูŠู† ุฃูƒุจุฑุŒ
1248
+
1249
+ 313
1250
+ 00:33:36,750 --> 00:33:42,120
1251
+ ู…ุธู‡ุฑุŒ ู…ุฑุฉ ุชุงู†ูŠุฉู‡ูˆ ุญูƒู‰ interest in seeing if there
1252
+
1253
+ 314
1254
+ 00:33:42,120 --> 00:33:45,520
1255
+ is a difference ููŠ ูุฑู‚ ุงูˆ ู„ุง ู…ุน ูƒุฏู‡ ูŠุดูŠุฒ ุฌูˆุงุจ
1256
+
1257
+ 315
1258
+ 00:33:45,520 --> 00:33:53,460
1259
+ ุงู„ุตุญู‰ two-tailed test ุงุฐุง ุงู„ุฌูˆุงุจ ุงู…ุง a ุง ููŠ ู„ุง
1260
+
1261
+ 316
1262
+ 00:33:53,460 --> 00:33:57,880
1263
+ ูŠุณุงูˆูŠ ููŠ ุงู„ู†ุงู„ ุทุจุนุง ุฎุทุฃ ุจูŠ ุงู„ุตุญ ุงู„ู„ูŠ ู„ุง ูŠุณุงูˆูŠ
1264
+
1265
+ 317
1266
+ 00:33:57,880 --> 00:34:03,520
1267
+ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ alternative hypothesis ุงุฐุง ุจูŠ is the
1268
+
1269
+ 318
1270
+ 00:34:03,520 --> 00:34:04,160
1271
+ correct answer
1272
+
1273
+ 319
1274
+ 00:34:11,500 --> 00:34:15,220
1275
+ ุฎู„ุงุตุŸ ููŠู‡ ุณุคุงู„ุŸ stop at this point and next time
1276
+
1277
+ 320
1278
+ 00:34:15,220 --> 00:34:15,840
1279
+ shall continue
1280
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/m65gY_YCKcQ_raw.srt ADDED
@@ -0,0 +1,1300 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,790 --> 00:00:24,050
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุงุฎุฏ
4
+
5
+ 2
6
+ 00:00:24,050 --> 00:00:29,350
7
+ practice problems of chapter 10 I will start with
8
+
9
+ 3
10
+ 00:00:29,350 --> 00:00:34,410
11
+ number 67 and this type of questions just multiple
12
+
13
+ 4
14
+ 00:00:34,410 --> 00:00:42,030
15
+ choice it says when testing it's zero by one minus
16
+
17
+ 5
18
+ 00:00:42,030 --> 00:00:48,010
19
+ by two equals zero so
20
+
21
+ 6
22
+ 00:00:48,010 --> 00:00:54,490
23
+ we are testingุจุงูŠ ูˆุงู† ู…ุงูŠู†ูˆุณ ุจุงูŠ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
24
+
25
+ 7
26
+ 00:00:54,490 --> 00:01:01,430
27
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
28
+
29
+ 8
30
+ 00:01:01,430 --> 00:01:03,750
31
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
32
+
33
+ 9
34
+ 00:01:03,750 --> 00:01:03,750
35
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
36
+
37
+ 10
38
+ 00:01:03,750 --> 00:01:05,010
39
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
40
+
41
+ 11
42
+ 00:01:05,010 --> 00:01:05,010
43
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
44
+
45
+ 12
46
+ 00:01:05,010 --> 00:01:09,830
47
+ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ ุงุชูˆ
48
+
49
+ 13
50
+ 00:01:09,830 --> 00:01:15,170
51
+ ุงุชูˆ ุงุชูˆ
52
+
53
+ 14
54
+ 00:01:15,170 --> 00:01:23,140
55
+ ุงุช2.13 ูŠุณุฃู„ ุนู† ู‚ูŠู…ุฉ B ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ุงู„ุขู† ู‚ูŠู…ุฉ B
56
+
57
+ 15
58
+ 00:01:23,140 --> 00:01:29,420
59
+ ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุญู† ู„ุฏูŠู†ุง ุงุฎุชุจุงุฑูŠู†
60
+
61
+ 16
62
+ 00:01:29,420 --> 00:01:35,940
63
+ ู…ุฑุชุจุทูŠู† ู„ุฐุง ู„ุชู†ู…ูŠุฉ ู‚ูŠู…ุฉ B ูŠุฌุจ ุฃู† ู†ุฏุฑุณ ุงู„ุจุฑุงู…ุฌ
64
+
65
+ 17
66
+ 00:01:35,940 --> 00:01:38,660
67
+ ุงู„ู‚ูŠู…ุฉ ู…ูุงุฑู‚ุฉ
68
+
69
+ 18
70
+ 00:02:00,930 --> 00:02:03,530
71
+ ุงู„ุงุฎุชุจุงุฑ ู…ู† ุทุฑููŠู†
72
+
73
+ 19
74
+ 00:02:12,330 --> 00:02:15,990
75
+ ุงู„ู†ู‚ุทุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 2.13 ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู†
76
+
77
+ 20
78
+ 00:02:15,990 --> 00:02:19,130
79
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ูุงู‚ูˆู… ูู‚ุท ุจู…ุซุงุจุฑุฉ ูˆุงุญุฏุฉ ูˆ
80
+
81
+ 21
82
+ 00:02:19,130 --> 00:02:26,470
83
+ ุงุฑุชุจุทู‡ุง ุจ2 ุงู„ุฃุณู‡ู„ ู‡ูˆ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ู‡ูˆ ู…ุจุงุดุฑุฉ
84
+
85
+ 22
86
+ 00:02:26,470 --> 00:02:34,610
87
+ ู…ู† ุงู„ู…ุนุฑูุฉ ุงู„ุชูŠ ุงุณุชุฎุฏู…ู†ุงู‡ุง ุนุฏุฉ ู…ุฑุงุช ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ
88
+
89
+ 23
90
+ 00:02:34,610 --> 00:02:41,110
91
+ ูู„ู†ุนูˆุฏ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅู„ู‰ ุงู„ู…ุนุฑูุฉ Z
92
+
93
+ 24
94
+ 00:02:50,100 --> 00:03:00,980
95
+ ุงู„ุฃู† ู„ู€-2.13 ู„ู€-2.1 ู…ู† 3 ุงู„ู‚ูŠู…ุฉ
96
+
97
+ 25
98
+ 00:03:00,980 --> 00:03:02,820
99
+ ู‡ูŠ 0.0166
100
+
101
+ 26
102
+ 00:03:16,250 --> 00:03:20,750
103
+ ู‡ูˆ 332.0332
104
+
105
+ 27
106
+ 00:03:20,750 --> 00:03:37,210
107
+ ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ B ูุงู„ุฅุฌุงุจุฉ
108
+
109
+ 28
110
+ 00:03:37,210 --> 00:03:44,690
111
+ ุงู„ุตุญูŠุญุฉ ู‡ูŠ C ูC ู‡ูˆ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉุงู„ุงู† ู‡ู†ุงูƒ ุญู„ูˆุฉ
112
+
113
+ 29
114
+ 00:03:44,690 --> 00:03:51,570
115
+ ุฏูŠ 0166 ู‡ุฐุง ู†ูˆุน ูˆุงุญุฏ ุงูˆ ูˆุงุญุฏ ุชุฌุงุฑุจ ูˆุงุญุฏุฉ ูˆู„ูƒู†
116
+
117
+ 30
118
+ 00:03:51,570 --> 00:03:53,950
119
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุชุงู†ูŠ ุงู„ุฌุงู†ุจ ูŠุฌุจ ุฃู† ู†ุฒูŠู„ ู‡ุฐุง ุจุงู„ุงู†ุชุตุงุฑ 2
120
+
121
+ 31
122
+ 00:03:53,950 --> 00:04:02,470
123
+ ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ ุงู„ุฅุฌุงุจุฉ 0332 ุฑู‚ู… ุฏูŠ ุตุญูŠุญ ูู‚ุท ู„ู€ one
124
+
125
+ 32
126
+ 00:04:02,470 --> 00:04:09,230
127
+ tilde ู‡ุฐุง ู„ู€
128
+
129
+ 33
130
+ 00:04:09,230 --> 00:04:09,910
131
+ 67
132
+
133
+ 34
134
+ 00:04:12,570 --> 00:04:16,650
135
+ ุฃูŠ ุณุคุงู„ 68
136
+
137
+ 35
138
+ 00:04:16,650 --> 00:04:21,890
139
+ ุนู†ุฏ ุชุฌุฑุจุฉ ุจูŠ 1 ู…ุงู†ุณุง ุจูŠ 2 ู‡ูˆ ุฃูƒุชุฑ ู…ู† ุฃูˆ ุฃูƒุชุฑ ู…ู†
140
+
141
+ 36
142
+ 00:04:21,890 --> 00:04:24,930
143
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
144
+
145
+ 37
146
+ 00:04:24,930 --> 00:04:25,290
147
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
148
+
149
+ 38
150
+ 00:04:25,290 --> 00:04:31,210
151
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
152
+
153
+ 39
154
+ 00:04:31,210 --> 00:04:33,770
155
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
156
+
157
+ 40
158
+ 00:04:33,770 --> 00:04:35,390
159
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
160
+
161
+ 41
162
+ 00:04:35,390 --> 00:04:37,670
163
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
164
+
165
+ 42
166
+ 00:04:37,670 --> 00:04:44,570
167
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทู‡ุฐู‡ ู…ุญุงูˆู„ุฉ one-tailed ู„ุฐู„ูƒ
168
+
169
+ 43
170
+ 00:04:44,570 --> 00:04:49,170
171
+ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู†ู‚ู„ 2.13 ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ูˆุงู‚ุน
172
+
173
+ 44
174
+ 00:04:49,170 --> 00:04:56,110
175
+ ู‡ูŠ 0166 ู„ุฐู„ูƒ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉ ู‡ูŠ B
176
+
177
+ 45
178
+ 00:05:10,190 --> 00:05:16,330
179
+ ุทุจ ู„ูˆ ุณุฃู„ุชูƒ ู†ูุณ ุงู„ุณุคุงู„ ุจุณ ุจุนู…ู„ testing by one
180
+
181
+ 46
182
+ 00:05:16,330 --> 00:05:27,670
183
+ minus by two is positive ุฃูƒุจุฑ ู…ู† ุตูุฑ ู„ุญุธุฉ
184
+
185
+ 47
186
+ 00:05:27,670 --> 00:05:35,270
187
+ ุงู„ area ุงู„ู„ูŠ ู‡ู†ุง ุทู„ุนุช point zero one six six ู„ูˆ
188
+
189
+ 48
190
+ 00:05:35,270 --> 00:05:41,960
191
+ ุนุงูŠุฒู‡ุง ุฃูƒุจุฑุงู„ู€ P value ุณุชูƒูˆู† P of Z ุฃูƒุชุฑ ู…ู† ู‡ุฐุง
192
+
193
+ 49
194
+ 00:05:41,960 --> 00:05:45,920
195
+ ุงู„ู€ Negative ุงู„ู…ุณุงุญุฉ
196
+
197
+ 50
198
+ 00:05:45,920 --> 00:05:53,680
199
+ ู‡ุฐู‡ ูƒู„ู‡ุง ุณุชุตุจุญ ูˆุงุญุฏ ู†ู‚ุต ูŠุนู†ูŠ
200
+
201
+ 51
202
+ 00:05:53,680 --> 00:06:01,860
203
+ ุฌูˆุง point 9834 ุณูŠูƒูˆู† 9834C ุชุฎุชู„ู ุญุณุจ ุงู„ู…ุซู„ุฉ
204
+
205
+ 52
206
+ 00:06:08,450 --> 00:06:21,950
207
+ ู‡ุฐุง six .. seven .. six .. eight six
208
+
209
+ 53
210
+ 00:06:21,950 --> 00:06:27,770
211
+ .. nine ุงู„ู„ูŠ ุจุนุฏ six .. eight ุงุดุชุบู„ ุดุจุงุจ six ..
212
+
213
+ 54
214
+ 00:06:27,770 --> 00:06:37,520
215
+ eight ุจุญูƒูŠู†ุง ุจูŠู‡ ุงุดุชุบู„ู‡ุง ุงู„ C ู‡ู†ุงูƒ ุงูˆ ุญูƒูŠุงุดุงู„ุฃู‚ู„
216
+
217
+ 55
218
+ 00:06:37,520 --> 00:06:46,880
219
+ ู…ุง ุทู„ุนู†ุงู‡ุง 0166 69
220
+
221
+ 56
222
+ 00:06:46,880 --> 00:06:51,840
223
+ 69
224
+
225
+ 57
226
+ 00:06:51,840 --> 00:06:54,800
227
+ The Wall Street Journal recently published an
228
+
229
+ 58
230
+ 00:06:54,800 --> 00:06:59,880
231
+ article indicating differences in perception of
232
+
233
+ 59
234
+ 00:06:59,880 --> 00:07:03,820
235
+ sexual harassment on the job between men and women
236
+
237
+ 60
238
+ 00:07:04,960 --> 00:07:13,280
239
+ ุจุญูƒูŠ ุดุบู„ุฉ ู„ู€ Men and Women ุงู„ุงุฑุชูƒุงู„
240
+
241
+ 61
242
+ 00:07:13,280 --> 00:07:16,960
243
+ claimed ุงู„ุงุฑุชูƒุงู„
244
+
245
+ 62
246
+ 00:07:16,960 --> 00:07:20,160
247
+ ุจุชุญูƒูŠ ุงู„ women perceived the problem to be much
248
+
249
+ 63
250
+ 00:07:20,160 --> 00:07:25,600
251
+ more prevalent than dead men ูŠุนู†ูŠ ุงู„ women ุฃูƒุชุฑ
252
+
253
+ 64
254
+ 00:07:25,600 --> 00:07:30,520
255
+ one
256
+
257
+ 65
258
+ 00:07:30,520 --> 00:07:37,710
259
+ question asked of both men and women wasุงู„ู…ู‡ู… 20%
260
+
261
+ 66
262
+ 00:07:37,710 --> 00:07:45,910
263
+ ุงุนุทู‰ 20% ู…ู† ุงู„ุฑุฌุงู„ ู…ู‚ุงุฑู†ุฉ ุจ 62% ู…ู† ุงู„ู…ุฑุฃุฉ ุงุฐุง
264
+
265
+ 67
266
+ 00:07:45,910 --> 00:08:00,510
267
+ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ู…ุฑุฃุฉ 62% ูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ู…ุฑุฃุฉ 24% ุฌูŠุฏ
268
+
269
+ 68
270
+ 00:08:07,150 --> 00:08:11,630
271
+ what should the wall street to showุŸ ู…ูŠู† ูุถู„ ุตุญุŸ
272
+
273
+ 69
274
+ 00:08:11,630 --> 00:08:29,490
275
+ ู‡ูˆ ุจูŠุญูƒูŠ ุงู„ women ุฃุนู„ู‰ ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู„ as a boy ูŠุนู†ูŠ
276
+
277
+ 70
278
+ 00:08:29,490 --> 00:08:35,710
279
+ ู…ุน ูƒุฏู‡ ุงู„ H one ู…ูŠู†
280
+
281
+ 71
282
+ 00:08:35,710 --> 00:08:41,110
283
+ ูุถู„ ุตุญุŸุฏู‰ ู„ุญุธุฉ ุฏู‰ ู„ุฅู† ููŠู‡ุง ุนู†ุฏูƒ ุงู„ by ู„ู„ women
284
+
285
+ 72
286
+ 00:08:41,110 --> 00:08:45,710
287
+ minus ุงู„ by ู„ู„ู…ู† is positive it means this is the
288
+
289
+ 73
290
+ 00:08:45,710 --> 00:08:53,510
291
+ correct answer ุฎู„ุงุต ุฏู‰
292
+
293
+ 74
294
+ 00:08:53,510 --> 00:08:57,690
295
+ is the correct answer ุงู„ู„ู‰
296
+
297
+ 75
298
+ 00:08:57,690 --> 00:09:05,170
299
+ ุจุนุฏู‡ ู†ูุณ ุงู„ุณุคุงู„ suppose that one hundred fifty men
300
+
301
+ 76
302
+ 00:09:06,500 --> 00:09:10,100
303
+ women and 200 men were interviewed ู„ู…ุง ุฃุฎุฏูˆุง ุงู„
304
+
305
+ 77
306
+ 00:09:10,100 --> 00:09:15,340
307
+ sample ูƒุงู† ุงู„ women 150
308
+
309
+ 78
310
+ 00:09:15,340 --> 00:09:22,040
311
+ ูˆ ุงู„ men 200 ุจุณุฃู„ what is the value of the test
312
+
313
+ 79
314
+ 00:09:22,040 --> 00:09:26,620
315
+ statistic ุณุคุงู„ ู…ู‡ู… ุงูŠุด ู‚ูŠู…ุฉ ุงู„ test statistic ุนุดุงู†
316
+
317
+ 80
318
+ 00:09:26,620 --> 00:09:37,920
319
+ ุงุทู„ุน ุงู„ test ู‡ุงูŠ ุงู„ู‚ุงู†ูˆู† P1-P2-Pi 1-Pi 2 Divide by
320
+
321
+ 81
322
+ 00:09:37,920 --> 00:09:42,580
323
+ square root P' Plus
324
+
325
+ 82
326
+ 00:09:42,580 --> 00:09:47,760
327
+ 1 over N2 So in order to compute this z, first
328
+
329
+ 83
330
+ 00:09:47,760 --> 00:09:51,280
331
+ step we have to compute the pooled proportion,
332
+
333
+ 84
334
+ 00:09:51,420 --> 00:10:02,320
335
+ overall proportion P' Now P' equals X1 plus X2 N1
336
+
337
+ 85
338
+ 00:10:02,320 --> 00:10:18,400
339
+ plus N2x1 this is x1 this is x2 this is 150 ู‡ุฏูˆู„
340
+
341
+ 86
342
+ 00:10:18,400 --> 00:10:23,760
343
+ in one and in two ุงู„ู„ูŠ ุทู„ุนู†ุงู‡ู… ู…ุธุจูˆุท
344
+
345
+ 87
346
+ 00:10:23,760 --> 00:10:28,760
347
+ ู‡ุฏูˆู„ interviewed ู…ูŠุฉ ูˆ ุฎู…ุณูŠู† women ูˆ ู…ูŠุชูŠู† men
348
+
349
+ 88
350
+ 00:10:28,760 --> 00:10:36,070
351
+ ูุงู„ู…ู‚ุงู… ุนู†ุฏูŠ ู‡ูŠูƒ150 plus 200 ุทูŠุจ ุงู„ X1 ู‡ูˆ ู…ุงุนุทู†ูŠุด
352
+
353
+ 89
354
+ 00:10:36,070 --> 00:10:40,410
355
+ ุงู„ X1 ู…ุธุจูˆุท ูƒูŠู
356
+
357
+ 90
358
+ 00:10:40,410 --> 00:10:50,390
359
+ ุฃุทู„ุญู‡ุง ุงู„ X1 ู‡ูˆ ุทู„ุน 62 of women ุงู„ู‚ุงู†ูˆู†
360
+
361
+ 91
362
+ 00:10:50,390 --> 00:10:57,670
363
+ ุชุจุน B1 ุนุจุงุฑุฉ ุนู† ุฅูŠุด X1 ุนู„ู‰ N1 ุนู†ุฏู†ุง ุงู„ B1 ู…ุธุจูˆุท ู…ุน
364
+
365
+ 92
366
+ 00:10:57,670 --> 00:11:05,730
367
+ ูƒุฏู‡ ุงู„ X1 ู…ุด ู…ุชุณุงูˆูŠN1B1 ู…ุธุจูˆุท ูˆ X2 ุฒูŠู‡ุง ูŠุง ู…ู…ูƒู†
368
+
369
+ 93
370
+ 00:11:05,730 --> 00:11:12,850
371
+ ุงู„ู‚ุงู†ูˆู† ุงู„ุตุงุฑ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ X1 ู‡ุฏูŠ N1B1 ู…ุธุจูˆุท
372
+
373
+ 94
374
+ 00:11:12,850 --> 00:11:15,870
375
+ ู„ุฃู†ู‡ ู…ุง ุฃุนุทุงู†ูŠุด ุงู„ X direct ุฃุนุทุงู†ูŠ ุงู„ proportion
376
+
377
+ 95
378
+ 00:11:15,870 --> 00:11:26,790
379
+ ุฅู„ุง ู„ูˆ ุญูƒูŠุชู„ูƒ ุงู†ุชูˆุง ุนุฏุฏูƒูˆุง 100 ู…ู„ุงุด 190 ูˆ ุงู„ุทู„ุจุงุช
380
+
381
+ 96
382
+ 00:11:26,790 --> 00:11:36,470
383
+ ุงู„ู…ุดุบุจุงุช ููŠูƒูˆุง 30%ู…ุงุฐุง ู‡ูŠ ุนุฏุฏ ุงู„ู…ุดุงุฑุจูŠู†ุŸ B1 ุนุจุงุฑุฉ
384
+
385
+ 97
386
+ 00:11:36,470 --> 00:11:43,570
387
+ ุนู† X .. ุนุจุงุฑุฉ ุนู† X1 ุนู„ู‰ N1 B1 ุซู„ุงุซุฉ X1 ู…ุด ุนุงุฑูุฉ N1
388
+
389
+ 98
390
+ 00:11:43,570 --> 00:11:49,530
391
+ ุชุณุนูŠู† ูุงู„ X1 ู…ุด ุจุชุณุงูˆูŠ ุงู„ุชู„ุงุชูŠู† ููŠ ุงู„ุชุณุนูŠู† ูŠุนู†ูŠ
392
+
393
+ 99
394
+ 00:11:49,530 --> 00:11:57,990
395
+ ุณุจุนุฉ ูˆ ุนุดุฑูŠู†ุŒ ู…ุธุจูˆุทุŸ ูู‡ุฐู‡ ู‡ุชุณุงูˆูŠ N1 ููŠ B1 ุฎุฏูŠ N1
396
+
397
+ 100
398
+ 00:11:57,990 --> 00:12:04,480
399
+ ู…ูŠุฉ ูˆ ุฎู…ุณูŠู†ุญูƒู‰ ุงู„ women 150 ุถุฑุจ
400
+
401
+ 101
402
+ 00:12:04,480 --> 00:12:13,260
403
+ 62 plus 200 ููŠ 24 over
404
+
405
+ 102
406
+ 00:12:13,260 --> 00:12:20,900
407
+ in one plus in two ุถุฑุจูŠู‡ุง
408
+
409
+ 103
410
+ 00:12:20,900 --> 00:12:21,500
411
+ ู‡ุฏูˆู„ ู‡ุงุช
412
+
413
+ 104
414
+ 00:12:25,650 --> 00:12:30,270
415
+ ู‡ูˆ ุจุณ ู…ุฌุฑุฏ calculations ูŠุนู†ูŠ ู…ุด ุฃูƒุชุฑ ู…ู† ู‡ูŠ 150.62
416
+
417
+ 105
418
+ 00:12:30,270 --> 00:12:39,050
419
+ ุฃุฏูˆู„ 93 ุถุฑุจ
420
+
421
+ 106
422
+ 00:12:39,050 --> 00:12:47,390
423
+ 48 ุจุทู„ุน
424
+
425
+ 107
426
+ 00:12:47,390 --> 00:12:56,150
427
+ ุงู„ุฌูˆุงุจ ุฃู† ู‡ูŠ point four ุชู‚ุฑูŠุจุง zero ุชู‚ุฑูŠุจุง0.4023
428
+
429
+ 108
430
+ 00:12:56,150 --> 00:13:04,190
431
+ ุฃูˆ ุญุงุฌุฉ ุฒูŠ ุฐู„ูƒ ุชู‚ุฑูŠุจุงู‹ ูƒุฐุง ู‡ุฐู‡ ุงู„ู€ B' ู‡ุฐู‡
432
+
433
+ 109
434
+ 00:13:04,190 --> 00:13:11,350
435
+ ู…ุง ู†ุณู…ูŠู‡ุง ุงู„ู€ bold ู„ู…ู†ุŸ ู„ู„ู€ over all proportion
436
+
437
+ 110
438
+ 00:13:11,350 --> 00:13:15,150
439
+ ุฃุฒูŠู‡ุง
440
+
441
+ 111
442
+ 00:13:15,150 --> 00:13:18,410
443
+ ู‡ุชุณุงูˆูŠุŸ ุงู„ู€ B1' ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
444
+
445
+ 112
446
+ 00:13:24,860 --> 00:13:40,340
447
+ 62-24 under square root 0.403 1- 1 over N1 plus 1
448
+
449
+ 113
450
+ 00:13:40,340 --> 00:13:47,140
451
+ over N2 ุงู„ุญู„ ุงู„ุณุคุงู„ุŒ ุฅูŠุด ุงู„ุฌูˆุงุจ ุทู„ุนุŸ
452
+
453
+ 114
454
+ 00:13:47,140 --> 00:13:52,260
455
+ ุดูˆููŠ ููŠ ุงู„ูƒุชุงุจ ุงู„ุณุคุงู„ 70 ุฅูŠุด ุงู„ุฌูˆุงุจุŸ ู‡ุฐู‡ ุทุฑูŠู‚ุฉ
456
+
457
+ 115
458
+ 00:13:52,260 --> 00:13:59,900
459
+ ุงู„ุญู„ุŒ ุจุณ ุทู„ุน ุงู„ุฌูˆุงุจC ู‡ูˆ .. ุงู„ู€ C ู…ู†ุทู‚ .. ุฎู„ู‘ูŠ ุจุงู„ูƒ
460
+
461
+ 116
462
+ 00:13:59,900 --> 00:14:06,100
463
+ ุงู„ู€ B ู…ุด ู…ู†ุทู‚ ู„ูŠุดุŸ ูŠุนู†ูŠ ุงู„ู€ B ู…ุด ุตุญ ุงู„ุชุงุจู„ุงุด
464
+
465
+ 117
466
+ 00:14:06,100 --> 00:14:12,100
467
+ ู‚ูŠู…ุฉ ุงู„ู€ Z ุจุชุทู„ุน ุนุงู„ูŠุฉ ู„ุฃู† ุงู„ู€ B ุนุงู„ูŠุฉุŒ ู‡ุฏูˆู„ุŒ
468
+
469
+ 118
470
+ 00:14:12,100 --> 00:14:15,940
471
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูƒุจูŠุฑ ุงู„ู…ู‡ู… ุฅุฐุง ุญู„ุชูŠู‡ุง ุตุญ ุฅูŠุด ุงู„ุฌูˆุงุจ
472
+
473
+ 119
474
+ 00:14:15,940 --> 00:14:20,940
475
+ ุทู„ุน ููŠ ุงู„ูƒุชุงุจุŸ ุงุนุชุจุฑ ุงู„ุฌูˆุงุจ ุงู„ู€ C ุจุชุชุฃูƒุฏ ู…ู†ู‡ุง ููŠ
476
+
477
+ 120
478
+ 00:14:20,940 --> 00:14:39,160
479
+ ุงู„ุจูŠุชseven one seven three ุงุฐุง seven ู‡ุฐุง
480
+
481
+ 121
482
+ 00:14:39,160 --> 00:14:45,340
483
+ ู†ูุณู‡ ู„ ูˆุงุญุฏ ูˆ ุณุจุนูŠู† ุทูŠุจ
484
+
485
+ 122
486
+ 00:14:45,340 --> 00:14:47,460
487
+ ุงู„ุณุคุงู„ ุงู„ุจุนู†ูˆ ู…ู† ุญู„ ุจุณ ุจุณุฑุนุฉ ุดูˆูŠุฉ
488
+
489
+ 123
490
+ 00:14:57,980 --> 00:15:05,380
491
+ ุฅูŠุด ุงู„ุฌูˆุงุจ ู„ู„ุณุคุงู„ ู‡ุฐุงุŸ ู„ูŠุด ุจูŠู‡ุŸ ู‡ูˆ ุจูŠุญูƒูŠ men and
492
+
493
+ 124
494
+ 00:15:05,380 --> 00:15:10,480
495
+ women ู…ุง ู„ู‡ู… differ ุจูŠุฎุชู„ููˆุง ุนู† ุจุนุถ ุทุงู„ู…ุง ุจูŠุฎุชู„ููˆุง
496
+
497
+ 125
498
+ 00:15:10,480 --> 00:15:13,760
499
+ ูŠุนู†ูŠ ู„ุง ูŠุณุงูˆูŠ ูˆุจุงู„ุชุงู„ูŠ ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ููŠู‡ ู„ุง ูŠุณุงูˆูŠ
500
+
501
+ 126
502
+ 00:15:13,760 --> 00:15:23,380
503
+ ู‡ูŠู‡ุŒ ุฅุฐุง ุงู†ูŠ ุฌูˆุงุจ ุจูŠู‡ุŒ ุฎู„ุงุต ุงู„ุณุคุงู„
504
+
505
+ 127
506
+ 00:15:23,380 --> 00:15:24,000
507
+ ุงู„ุจุนุฏุŒ 72
508
+
509
+ 128
510
+ 00:15:36,630 --> 00:15:40,770
511
+ ุงู„ุณุคุงู„ ุจุญูƒูŠ if the b value turns out to be point
512
+
513
+ 129
514
+ 00:15:40,770 --> 00:15:43,010
515
+ zero two of the b value
516
+
517
+ 130
518
+ 00:15:52,640 --> 00:15:56,480
519
+ ู†ูุชุฑุถ ุงู„ู€ p value 0.35 ุจูŠุญูƒูŠ which is not the real
520
+
521
+ 131
522
+ 00:15:56,480 --> 00:15:59,200
523
+ value of this dataset ู…ุด ุงู„ู‚ูŠู…ุฉ ุงู„ูุนูŠู„ุฉ ู„ูƒู† ู‡ูŠ
524
+
525
+ 132
526
+ 00:15:59,200 --> 00:16:03,900
527
+ ูƒุงู†ุช ู…ุฌุฑุฏ example then ุงู„ู€ p value ุจูŠุณุงูˆูŠ ู‡ูŠูƒ
528
+
529
+ 133
530
+ 00:16:03,900 --> 00:16:08,500
531
+ ุงู„ู‚ุฑุงุฑ reject ูˆู„ุง don't rejectุŸ ุญุณุจ alpha ุทู„ุน and
532
+
533
+ 134
534
+ 00:16:08,500 --> 00:16:13,240
535
+ alpha 4 percent reject ุงุญู†ุง we reject ุงุฐุง ูƒุงู†ุช ุงู„
536
+
537
+ 135
538
+ 00:16:13,240 --> 00:16:17,020
539
+ p value less than alpha ูˆ ุงุฐุง ุญุฏ ุงุตุบุฑ this is
540
+
541
+ 136
542
+ 00:16:17,020 --> 00:16:22,670
543
+ correct answer5% ูŠุฌุจ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
544
+
545
+ 137
546
+ 00:16:22,670 --> 00:16:23,290
547
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
548
+
549
+ 138
550
+ 00:16:23,290 --> 00:16:27,050
551
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
552
+
553
+ 139
554
+ 00:16:27,050 --> 00:16:28,670
555
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
556
+
557
+ 140
558
+ 00:16:28,670 --> 00:16:29,650
559
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
560
+
561
+ 141
562
+ 00:16:29,650 --> 00:16:29,670
563
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
564
+
565
+ 142
566
+ 00:16:29,670 --> 00:16:29,670
567
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
568
+
569
+ 143
570
+ 00:16:29,670 --> 00:16:42,110
571
+ ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
572
+
573
+ 144
574
+ 00:16:42,110 --> 00:16:42,470
575
+ ุชู†ุณ
576
+
577
+ 145
578
+ 00:16:46,190 --> 00:16:51,170
579
+ ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุงู„ุชุฃูƒูŠุฏ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุฃุซุงุฑุฉ ุจุฅู†
580
+
581
+ 146
582
+ 00:16:51,170 --> 00:16:54,970
583
+ ุงู„ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุฃุดูŠุงุก ุงู„ู…ู‡ุชู…ุฉ ู‡ูŠ ุฃูƒุชุฑ ููŠ ุงู„ุฌูˆู„ุฉ
584
+
585
+ 147
586
+ 00:16:54,970 --> 00:17:02,290
587
+ ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ุฌูˆู„ุฉ ุงู„ุซุงู†ูˆูŠุฉ ูˆุงู„ุชุฌุงุฑุจ ู„ู„ู€ z ู‡ูŠ plus 2
588
+
589
+ 148
590
+ 00:17:02,290 --> 00:17:10,170
591
+ .07 ุฒูŠ
592
+
593
+ 149
594
+ 00:17:10,170 --> 00:17:12,790
595
+ 2.07
596
+
597
+ 150
598
+ 00:17:15,740 --> 00:17:24,680
599
+ ูˆุจุญูƒูŠ ุงู„ู€ proportion ู„ู€ group 1 ู…ุงู„ู‡ higher
600
+
601
+ 151
602
+ 00:17:24,680 --> 00:17:35,340
603
+ than proportion ู„ู€ group 2 where the
604
+
605
+ 152
606
+ 00:17:35,340 --> 00:17:37,960
607
+ difference is defined as group 1 proportion minus
608
+
609
+ 153
610
+ 00:17:37,960 --> 00:17:41,880
611
+ group 2 proportion the b value is equal to
612
+
613
+ 154
614
+ 00:17:46,790 --> 00:17:56,690
615
+ greater ูˆู„ุง ุฃู‚ู„ ู‡ุฐุง ุฃูƒุจุฑ ู…ุธุจูˆุท ูุจุงู„ุซุงู†ูŠุฉ one minus
616
+
617
+ 155
618
+ 00:17:56,690 --> 00:18:06,710
619
+ ุฒูŠ ุฃู‚ู„ one minus two point zero seven ู‡ุงูŠ ุงู„ table
620
+
621
+ 156
622
+ 00:18:06,710 --> 00:18:14,090
623
+ ู‡ุงูŠ
624
+
625
+ 157
626
+ 00:18:14,090 --> 00:18:15,770
627
+ ุงู„ zero ู„ุบุงูŠุฉ ุงู„ุณุจุนุฉ
628
+
629
+ 158
630
+ 00:18:21,600 --> 00:18:39,200
631
+ 9808 ูŠุนู†ูŠ 0182 ู‡๏ฟฝ๏ฟฝุง ู‚ูŠู…ุฉ ุงู„ู€ P value ุฅุฐุง
632
+
633
+ 159
634
+ 00:18:39,200 --> 00:18:43,560
635
+ ุงู„ P value ุงู„ุฌูˆุงุจ 0 182
636
+
637
+ 160
638
+ 00:18:48,780 --> 00:18:57,340
639
+ ู‡ุฐู‡ ุงู„ุณุคุงู„ ุชู„ุงุชุฉ ุณุจู†ุชู‰ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
640
+
641
+ 161
642
+ 00:18:57,340 --> 00:19:00,960
643
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
644
+
645
+ 162
646
+ 00:19:00,960 --> 00:19:01,980
647
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
648
+
649
+ 163
650
+ 00:19:01,980 --> 00:19:02,880
651
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
652
+
653
+ 164
654
+ 00:19:02,880 --> 00:19:04,800
655
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
656
+
657
+ 165
658
+ 00:19:04,800 --> 00:19:05,400
659
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
660
+
661
+ 166
662
+ 00:19:05,400 --> 00:19:07,540
663
+ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
664
+
665
+ 167
666
+ 00:19:07,540 --> 00:19:14,210
667
+ ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃู„ูˆ ุจุนู…ู„ testing ู„ู„ proportion
668
+
669
+ 168
670
+ 00:19:14,210 --> 00:19:22,210
671
+ ุจุณุชุฎุฏู… two tail ู…ู…ูƒู† ูˆุงุญุฏ ู…ู…ูƒู† ุงุฐุง true ูˆุงุถุญ ู„ูƒู†
672
+
673
+ 169
674
+ 00:19:22,210 --> 00:19:27,430
675
+ ู„ูˆ ุญูƒู‰ you only ู„ูˆ ุญูƒู‰ only ุจุณ ุบู„ุท ู„ุงู† one tail ุงูˆ
676
+
677
+ 170
678
+ 00:19:27,430 --> 00:19:36,970
679
+ two tail test ุงู„ุณุคุงู„
680
+
681
+ 171
682
+ 00:19:36,970 --> 00:19:39,910
683
+ ู‡ุฐุง ูŠุนู†ูŠ ู…ูŠุนุทูŠูƒูŠ output ุฌุงู‡ุฒ ูŠุนู†ูŠ ู…ูŠุนุทูŠูƒูŠ results
684
+
685
+ 172
686
+ 00:19:39,910 --> 00:19:46,550
687
+ ุฌุงู‡ุฒุฉุงู„ุณูŠู†ุงุฑูŠูˆ ู‡ูˆ ุนุดุฑุฉ ุชุณุนุฉ ูŠุนู†ูŠ ุงู†ุง ู…ุด ู…ุงุจุนุทูŠู†ูŠ
688
+
689
+ 173
690
+ 00:19:46,550 --> 00:19:52,230
691
+ ุงู„ู€ hypothesized difference zero ุงู„ level of
692
+
693
+ 174
694
+ 00:19:52,230 --> 00:19:55,390
695
+ significance point zero five ู…ุงุจุนุทูˆู†ูŠ group one
696
+
697
+ 175
698
+ 00:19:55,390 --> 00:19:58,910
699
+ number of items of interest hundred and sixty
700
+
701
+ 176
702
+ 00:19:58,910 --> 00:20:05,250
703
+ sample size two hundred ูŠุนู†ูŠ ู‡ุฐุง Alpha ู…ุธุจูˆุท ูˆู‡ุฐุง
704
+
705
+ 177
706
+ 00:20:05,250 --> 00:20:10,990
707
+ N1 ู‡ุฐุง X1 ูˆู‡ุฐุง N1 group two
708
+
709
+ 178
710
+ 00:20:36,530 --> 00:20:37,930
711
+ Ix2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x
712
+
713
+ 179
714
+ 00:20:41,090 --> 00:20:45,010
715
+ ุดูˆู ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ู‡ุฑุงูŠุญูƒุŒ ู‡ุฌูŠุจูƒ ุดุบู„ ุฒูŠ ูƒุฏู‡ุŒ
716
+
717
+ 180
718
+ 00:20:45,010 --> 00:20:48,090
719
+ ุฎู„ุงุตุŸ
720
+
721
+ 181
722
+ 00:20:48,090 --> 00:20:54,210
723
+ ุจุฏู„ ูˆุญุชูŠูƒูˆุง ุฅูŠุด ุงู†ุช ุจู‚ู‰ุŒ ู„ู…ุง ุจุชุณู…ุน ุงุณู… ุงู„ุงู…ุชุญุงู† ุฃูˆ
724
+
725
+ 182
726
+ 00:20:54,210 --> 00:20:59,650
727
+ ุญุงุฌุฉ ุจุฏู‡ุง ู„ุบูŠุŒ ุชู„ุบูŠ ุงู„ุดุบู„ ุงู„ู„ูŠ ูƒู„ู‡ ู…ูุชุงุญุŒ ูู„ุงู† ููŠ
728
+
729
+ 183
730
+ 00:20:59,650 --> 00:21:03,010
731
+ ุงู„ุงู…ุชุญุงู† ู‡ุฌูŠุจูƒ ุดุบู„ ุฒูŠ ูƒุฏู‡ุŒ ูŠุนู†ูŠ ู‡ุฌูŠุจู„ูƒ results
732
+
733
+ 184
734
+ 00:21:03,010 --> 00:21:08,220
735
+ ุฌุงู‡ุฒุฉุŒ ูŠุนู†ูŠ ุงู„ B-Dash ู‡ุชูˆุญูŠ ุญุงุทูŠูƒู… ุฌุงู‡ุฒุฉูˆุงู„ู€ P'
736
+
737
+ 185
738
+ 00:21:08,420 --> 00:21:11,320
739
+ ู‡ุชุนุทูŠูƒ ุฅูŠุงู‡ุง ุฌู‡ุฒุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ overall ูˆ ุงู„ู€ Z
740
+
741
+ 186
742
+ 00:21:11,320 --> 00:21:17,200
743
+ ู‡ุชุนุทูŠูƒ ุฅูŠุงู‡ุง ุฌู‡ุฒุฉ ุฎู„ุงุตุŸ ูƒูˆูŠุณ ู‡ูŠูƒุŸ ู‡ุฐุง ุฃูƒุจุฑ deal
744
+
745
+ 187
746
+ 00:21:17,200 --> 00:21:21,060
747
+ ุจุนู…ู„ู‡ ู…ุนุงูƒ ูˆ
748
+
749
+ 188
750
+ 00:21:21,060 --> 00:21:28,000
751
+ ุจู†ุงุก ุนู„ูŠู‡ุง ุชุดุชุบู„ุŒ ุฎู„ุงุตุŸ ู‡ุฐูˆู„ ู‚ูŠู…ุฉ ูุฑุถ ู…ูˆุฌูˆุฏุฉ ุฎู„ู‘ูŠู†
752
+
753
+ 189
754
+ 00:21:28,000 --> 00:21:30,820
755
+ ู†ุดูˆู ุฅูŠุด ุงู„ู…ุทู„ูˆุจุŒ ู„ุญุธุฉ ุฃู†ุง ูƒุชุจุช ุฃู…ุงู… ูƒู„ ูˆุงุญุฏุฉ ุฅูŠุด
756
+
757
+ 190
758
+ 00:21:30,820 --> 00:21:35,420
759
+ ู…ุนู†ุงู‡ุง ุทุจุนุง ู‡ุฐู‡ ู…ุนู†ุงู‡ุง ุฃู† ุงู„ู€ ฯ€ุงูŠ ูˆู† minus ุจุงูŠ ุชูˆูŠ
760
+
761
+ 191
762
+ 00:21:35,420 --> 00:21:41,010
763
+ ุฃูƒุจุฑ ุฒูŠู‡ู…ุฎู„ุงุต ุฃู†ุง ุจูˆุนุฏูƒ ุงู„ุขู† ุณุคุงู„ูŠู† ููŠ ุงู…ุชุญุงู† ุฒูŠ
764
+
765
+ 192
766
+ 00:21:41,010 --> 00:21:46,570
767
+ ู‡ูŠูƒ ูˆุงุญุฏุฉ ุฒูŠ ู‡ุฐู‡ ูˆูˆุงุญุฏุฉ ุฒูŠ ุงู„ุชุงู†ูŠุฉ ูˆ
768
+
769
+ 193
770
+ 00:21:46,570 --> 00:21:51,050
771
+ .. ูˆ multiple choice ุงู„ุดูŠุก ุงู„ู„ูŠ ูƒุงู†ุช ุฎููŠูุฉ ุงู„ุดูŠุก
772
+
773
+ 194
774
+ 00:21:51,050 --> 00:21:58,230
775
+ ุงู„ู„ูŠ ูƒุงู†ุช ุฎููŠูุฉ ุงู„ุดูŠุก ุงู„ู„ูŠ ูƒุงู†ุช ุฎููŠูุฉ ู‡ุฐู‡ ู„ุณู‡ ู„ุฃ
776
+
777
+ 195
778
+ 00:21:58,230 --> 00:22:01,230
779
+ ู…ุนู†ุงู‡ุง ุงู„ุทุงู„ุจ ุจุฏู‡ ูŠูู‡ู…ุด ุจุฏู‡ ูŠุญู„ ุงู„ุณุคุงู„ ุงู„ุชุงู†ูŠ
780
+
781
+ 196
782
+ 00:22:13,890 --> 00:22:17,170
783
+ ุงู„ุฎุทุฃ ุงู„ุชุงู„ูŠุŒ ุชุณู…ุญ ู„ุดุฎุต ูˆุงุญุฏ ุจุงู„ูุฑุตุฉ ุงู„ุชูŠ ุชู‚ูˆู…
784
+
785
+ 197
786
+ 00:22:17,170 --> 00:22:23,090
787
+ ุจุงู„ุฎุทุฃ ุงู„ูˆุงุญุฏุฉ ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ู…ุง ู‡ูŠ ู…ุนู†ุงู‡ุงุŸ
788
+
789
+ 198
790
+ 00:22:23,090 --> 00:22:27,790
791
+ ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ู…ุด ู…ุนู†ุงู‡ุง ุจุงู„ุนุฑุจูŠ ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุง ููŠ
792
+
793
+ 199
794
+ 00:22:27,790 --> 00:22:28,370
795
+ ุงู„ู…ุนุงู…ู„ุงุชุŸ
796
+
797
+ 200
798
+ 00:22:30,840 --> 00:22:33,600
799
+ ู…ุฑุฉ ุชุงู†ูŠุฉ what does this sentence mean in
800
+
801
+ 201
802
+ 00:22:33,600 --> 00:22:36,860
803
+ statistics it says allowing for one person
804
+
805
+ 202
806
+ 00:22:36,860 --> 00:22:40,940
807
+ probability of committing a type one error ุงูŠุด ..
808
+
809
+ 203
810
+ 00:22:40,940 --> 00:22:50,280
811
+ ุงูŠุด ุชู‚ุงุจู„ ููŠ ุงู„ุญุตุฉ ุงู„ alpha ุทูŠุจ ู„ูŠุด ุงู„ alpha ุงู„
812
+
813
+ 204
814
+ 00:22:50,280 --> 00:22:57,440
815
+ alpha is if you remember alpha is a probability of
816
+
817
+ 205
818
+ 00:22:57,440 --> 00:23:03,150
819
+ committing type one error ุจุธุจุทุฅุฐุงู‹ ู‡ุฐุง ุงู„ู„ูŠ ูŠุนุทูŠูƒ
820
+
821
+ 206
822
+ 00:23:03,150 --> 00:23:08,650
823
+ ุฅูŠุงู‡ุง ุนุจุงุฑุฉ ุนู† Alpha ูˆุงุถุญุŸ ุทูŠุจุŒ what are the
824
+
825
+ 207
826
+ 00:23:08,650 --> 00:23:13,750
827
+ decision and conclusion in testing whether there
828
+
829
+ 208
830
+ 00:23:13,750 --> 00:23:16,850
831
+ is any difference in the proportions of satisfied
832
+
833
+ 209
834
+ 00:23:16,850 --> 00:23:22,550
835
+ customers in the two resortsุŸ ุงู„ B value ู…ุงุนุทุงู†ูŠุด
836
+
837
+ 210
838
+ 00:23:22,550 --> 00:23:27,210
839
+ ุฅูŠุงู‡ุง ู…ุธุจูˆุทุŒ ู‡ุงูŠ ุงู„ B value ู…ุงุนุทุงู†ูŠ ุฅูŠุงู‡ุง ู‡ูˆ ู…ุด
840
+
841
+ 211
842
+ 00:23:27,210 --> 00:23:29,990
843
+ ุจูŠุฎู„ูŠ ุญุงุฌุฉ ูŠุนู†ูŠุŒ ู„ุฃ ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ู…ุด ุฏุนูŠุช ู‡ู†ุง
844
+
845
+ 212
846
+ 00:23:29,990 --> 00:23:36,170
847
+ ุญุตู„ู„ุฃ ููŠ ุงู„ุงู…ุชุญุงู†ุฉ ู‡ูˆุตู„ูƒ ู„ุบุงูŠุฉ ุงู„ Z ููŠ
848
+
849
+ 213
850
+ 00:23:36,170 --> 00:23:39,670
851
+ ุงู„ุงู…ุชุญุงู†ุฉ ู‡ุนุทูŠูƒ ุงู„ Z ุจุณ ู‡ุนุทูŠูƒ ุงู„ P valueุŸ ุทุจุนุง
852
+
853
+ 214
854
+ 00:23:39,670 --> 00:23:45,050
855
+ ุฃูƒูŠุฏ ู„ุฃ ุดูˆู ุงู„ P value ู‡ูŠ ุฏูŠ ู†ูุชุฑุถ ุทู„ุจุช ู…ู†ูƒ
856
+
857
+ 215
858
+ 00:23:45,050 --> 00:23:49,670
859
+ ุชุญุณุจูŠู‡ุง ุฎูŠู†ุง ู†ุญุณุจู‡ุง ู…ุน ุจุนุถ ุฎู„ุงุต ุงู„ P value ู…ุด
860
+
861
+ 216
862
+ 00:23:49,670 --> 00:23:59,510
863
+ ู‡ุนุทูŠูƒ ุฅูŠุงู‡ุง ุฎูŠู†ุง ู†ุทู„ุน ุงู„ P value ููŠ ุงู„ุฃูˆู„ ุงู„
864
+
865
+ 217
866
+ 00:23:59,510 --> 00:24:00,510
867
+ P value ุดูˆ ุชุณุงูˆูŠุŸ
868
+
869
+ 218
870
+ 00:24:07,850 --> 00:24:12,430
871
+ ุงู„ุณุคุงู„ two type ูˆู„ุง one typeุŸ two ู„ุฃู† ุงู„ุญูƒุงูŠุฉ ..
872
+
873
+ 219
874
+ 00:24:12,430 --> 00:24:15,870
875
+ if
876
+
877
+ 220
878
+ 00:24:15,870 --> 00:24:21,130
879
+ there is any difference ุฃู†ุณู‰ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‡ู†ุง ู…ุนู†ุงู‡
880
+
881
+ 221
882
+ 00:24:21,130 --> 00:24:29,170
883
+ ูƒุฏู‡ ุนุงูŠุฒ ุฃุนู…ู„ two greater than two point six eight
884
+
885
+ 222
886
+ 00:24:29,170 --> 00:24:46,990
887
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ู‡ูŠูƒ ู…ุด ู‡ูŠูƒูˆุงุญุฏ ู†ุงู‚ุต 268
888
+
889
+ 223
890
+ 00:24:46,990 --> 00:24:57,390
891
+ ู‡ุงูŠ
892
+
893
+ 224
894
+ 00:24:57,390 --> 00:24:58,210
895
+ 2.6
896
+
897
+ 225
898
+ 00:25:04,240 --> 00:25:12,140
899
+ 9963 ู…ุธุจูˆุท ุฅุฐุง 9963
900
+
901
+ 226
902
+ 00:25:12,140 --> 00:25:18,200
903
+ 0037
904
+
905
+ 227
906
+ 00:25:18,200 --> 00:25:23,560
907
+ 74
908
+
909
+ 228
910
+ 00:25:23,560 --> 00:25:27,460
911
+ ูุชู‚ุฑูŠุจุง ุงู„ุฌูˆุงุจ 0074
912
+
913
+ 229
914
+ 00:25:34,540 --> 00:25:40,760
915
+ ูˆุงุถุญ 007 ุฃู†ุง ูƒุชุจู‡ุง four ูˆ ุชู‚ุฑูŠุจุง 73 ูˆุงุถุญ ุฃู†ู‡
916
+
917
+ 230
918
+ 00:25:40,760 --> 00:25:46,620
919
+ ุชู‚ุฑูŠุจุง ู†ูุณ ุงู„ู„ูŠ ุฌุงุจู‡ุง ุจุณ ู…ู‚ุฑุจุฉ ู‡ุฐุง ู„ูˆ ูƒุงู† two
920
+
921
+ 231
922
+ 00:25:46,620 --> 00:25:50,480
923
+ -tailed ู„ูˆ ูƒุงู† one-tailed to the right ุฅูŠุด ุงู„ุฌูˆุงุจ
924
+
925
+ 232
926
+ 00:25:50,480 --> 00:25:57,420
927
+ ุญูŠูƒูˆู†ุŸ ู‡ุฐุง two-tailedุŒ ุจุธุจุทุŸ ุทูŠุจ ู„ูˆ ูƒุงู† one-tailed
928
+
929
+ 233
930
+ 00:25:59,080 --> 00:26:03,520
931
+ to the right ุงุชุด ุทุงู„ุน ู…ุนุงูŠุง to the right ุฑู‚ุต ูƒูˆูŠุณ
932
+
933
+ 234
934
+ 00:26:03,520 --> 00:26:08,400
935
+ ุงู„ุชู†ุชูŠู† ู…ุน ุจุนุถ ุงู„ z ุทู„ุนุช positive ู…ุธุจูˆุท ุงู„ z
936
+
937
+ 235
938
+ 00:26:08,400 --> 00:26:13,780
939
+ positive ุงู„ z ู‡ูŠู‡ุง ู„ูˆ ูƒุงู† to the right ูƒู„ ู…ุณุงุญุฉ
940
+
941
+ 236
942
+ 00:26:13,780 --> 00:26:17,300
943
+ ู‡ุฐู‡ ู…ุธุจูˆุท ุงู„ z greater ุฏู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง
944
+
945
+ 237
946
+ 00:26:17,300 --> 00:26:22,980
947
+ ุจุณ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูู„ูˆ ุจู‚ุณู…ู‡ุง ุงุชู†ูŠู† ุงู„ุฌูˆุงุจุด ู‡ูŠุทู„ุน zero
948
+
949
+ 238
950
+ 00:26:22,980 --> 00:26:26,820
951
+ zero zero three seven ุฎู„ุงุต
952
+
953
+ 239
954
+ 00:26:29,270 --> 00:26:37,790
955
+ ูˆู„ูˆ ูƒุงู†ุช one tiled to the left ุฅูŠุด ุงู„ุฌูˆุงุจุŸ to the
956
+
957
+ 240
958
+ 00:26:37,790 --> 00:26:41,910
959
+ left ูŠุนู†ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงุŒ ู†ุธุงู…ุŸ z ุฃู‚ู„ุŒ ู„ุญุธุฉุŒ z
960
+
961
+ 241
962
+ 00:26:41,910 --> 00:26:46,450
963
+ ุฃู‚ู„ ูŠุนู†ูŠ positive ูƒู„ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ู†ู‚ุต
964
+
965
+ 242
966
+ 00:26:46,450 --> 00:26:50,770
967
+ ุงู„ู„ูŠ ุทู„ุนุชู‡ุง ุฅุฐุง one minus zero zero three seven
968
+
969
+ 243
970
+ 00:26:50,770 --> 00:26:54,590
971
+ ูˆุงุถุญุŒ
972
+
973
+ 244
974
+ 00:26:54,590 --> 00:27:00,150
975
+ nine nine six threeุฃู†ุง ุจุญู‚ู‚ ุงู„ุณุคุงู„ ุชุงู†ูŠ ู…ุด ุฅุชุดุงุฑุงุช
976
+
977
+ 245
978
+ 00:27:00,150 --> 00:27:04,210
979
+ ุชุงู†ูŠุฉ ู†ุฑุฌุน ู„ู€ 75 ุงู„ู„ูŠ ุฒูŠ ุทู„ุนุช ู…ุนุงูŠุง ุงู„ู€ B value
980
+
981
+ 246
982
+ 00:27:04,210 --> 00:27:10,330
983
+ 0074 ุฒูŠ ุชู‚ุฑูŠุจุง ู…ุง ุฃุนุทุงู†ูŠู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ ุจู†ุงุก ุนู„ู‰
984
+
985
+ 247
986
+ 00:27:10,330 --> 00:27:15,530
987
+ ูƒุฏู‡ ุฅูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนู†ุงุŸ ุฃูŠ ุญุงุฌุฉ ููŠู‡ุง don't reject ู…ุด
988
+
989
+ 248
990
+ 00:27:15,530 --> 00:27:23,250
991
+ ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ุฐุง 0074 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ less than
992
+
993
+ 249
994
+ 00:27:23,250 --> 00:27:29,640
995
+ AlphaุŒ ู…ุธุจูˆุทุŸ Alpha ูƒุฏู‡ ุฅูŠุด ูƒุงู†ุชุŸุฃุนุทุงู†ูŠู‡ุง 1% ุฃุนุชู‚ุฏ
996
+
997
+ 250
998
+ 00:27:29,640 --> 00:27:34,900
999
+ ุฃุนุทุงู†ูŠู‡ุง ูˆุงุญุฏุŒ ู…ุง ุญูƒูŠู†ุง ุนู„ูŠู‡ ู‡ูŠ ูˆุงุถุญ ุฃู†ู‡ุง ุฃุตุบุฑ ู…ู†
1000
+
1001
+ 251
1002
+ 00:27:34,900 --> 00:27:39,020
1003
+ ูˆุงุญุฏุŒ ุญุชู‰ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŒ 007 ู…ุงู„ุงูƒูŠุฏ ุงู„ุฃุตุบุฑ ู…ู† ูˆุงุญุฏ
1004
+
1005
+ 252
1006
+ 00:27:39,020 --> 00:27:44,080
1007
+ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉ ูˆู„ุง ู„ุฃุŸ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ู‚ูŠู…ุชูƒ ูƒุงู†ุช ุฃุตุบุฑ
1008
+
1009
+ 253
1010
+ 00:27:44,080 --> 00:27:48,760
1011
+ ู…ู† ูˆุงุญุฏุŒ ู„ูŠู‡ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŸ
1012
+
1013
+ 254
1014
+ 00:27:48,760 --> 00:27:52,120
1015
+ if P value is smaller than Alpha Alpha is one
1016
+
1017
+ 255
1018
+ 00:27:52,120 --> 00:27:57,130
1019
+ percentI mean if we reject at one percent do we
1020
+
1021
+ 256
1022
+ 00:27:57,130 --> 00:28:00,390
1023
+ still reject at any level greater than alphaุŸ ุฃูƒูŠุฏ
1024
+
1025
+ 257
1026
+ 00:28:00,390 --> 00:28:07,790
1027
+ ุทูŠุจ ุทุจุนุง ุฅุฐุง ู‡ุฐู‡ ุบู„ุท ูˆู‡ุฐู‡ ุบู„ุท reject the null
1028
+
1029
+ 258
1030
+ 00:28:07,790 --> 00:28:11,770
1031
+ hypothesis there is enough evidence to conclude
1032
+
1033
+ 259
1034
+ 00:28:11,770 --> 00:28:14,690
1035
+ that there is significant difference ู‡ุฐู‡ ู…ุธุจูˆุทุฉ
1036
+
1037
+ 260
1038
+ 00:28:14,690 --> 00:28:21,960
1039
+ ุงู„ูุฑู‚ ุนู†ู‡ุง none ุฅุฐุง the correct answer is aูˆุงุถุญ
1040
+
1041
+ 261
1042
+ 00:28:21,960 --> 00:28:26,640
1043
+ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญ ูŠุนู†ูŠ ุฃู† A ู‡ูˆ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ููŠ ุฃูŠ
1044
+
1045
+ 262
1046
+ 00:28:26,640 --> 00:28:31,860
1047
+ ุณุคุงู„ุŸ ุงู„ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ุงู„ู€ Z ู…ุงุชูŠู†ูŠ ุฅูŠุงู‡ุง ุทู„ุจุช ู…ู†ูƒ
1048
+
1049
+ 263
1050
+ 00:28:31,860 --> 00:28:37,440
1051
+ ุชุญุณุจ ุงู„ B value ู‡ูŠูƒ ุญุณุจุชู‡ุงุŸ ูˆุงุถุญ ุจุนุฏูŠู† ุทู„ุนู†ุง
1052
+
1053
+ 264
1054
+ 00:28:37,440 --> 00:28:40,060
1055
+ conclusion ู†ุญู† ู†ุชูุฑุฌ ุนู† ุงู„hypothesis ุงู„ู€ null it
1056
+
1057
+ 265
1058
+ 00:28:40,060 --> 00:28:43,500
1059
+ means there is enough evidence to conclude there
1060
+
1061
+ 266
1062
+ 00:28:43,500 --> 00:28:45,800
1063
+ is significant difference in the proportions of
1064
+
1065
+ 267
1066
+ 00:28:45,800 --> 00:28:55,170
1067
+ satisfied guests at the two resortsุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ
1068
+
1069
+ 268
1070
+ 00:28:55,170 --> 00:28:58,510
1071
+ ุจุนุฏู‡ ุงู„ู„ูŠ ุจุนุฏู‡ ุจุญูƒูŠ referring to the same scenario
1072
+
1073
+ 269
1074
+ 00:28:58,510 --> 00:29:04,810
1075
+ 10 9 if you want to test the claim that group one
1076
+
1077
+ 270
1078
+ 00:29:04,810 --> 00:29:09,410
1079
+ has higher proportion group one is higher the
1080
+
1081
+ 271
1082
+ 00:29:09,410 --> 00:29:15,530
1083
+ rights one till is higher the b value will be is
1084
+
1085
+ 272
1086
+ 00:29:15,530 --> 00:29:23,600
1087
+ higher 0037 ู‡ูˆ ู…ุด ูˆุงุญุฏ ู„ู†ุงุงู„ู„ูŠ 00 ูˆุงู„ุฑุงุญุงุช ุงู„ู„ูŠ ู‡ูŠ
1088
+
1089
+ 273
1090
+ 00:29:23,600 --> 00:29:30,560
1091
+ one minus ู‡ุฏู‰ ูˆู„ุง ุงูŠ ูˆุงุญุฏุฉ ููŠู‡ู… ุงู„ .. ุงู†ุง ู…ุงุจุญูƒูŠ
1092
+
1093
+ 274
1094
+ 00:29:30,560 --> 00:29:36,760
1095
+ ุงูŠุด ู„ูˆ one .. tailed test ู‡ุงูŠ
1096
+
1097
+ 275
1098
+ 00:29:36,760 --> 00:29:41,820
1099
+ ุงู„ two-tailed ู…ู† ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ two-tailed ุงู„ุฌูˆุงุจ
1100
+
1101
+ 276
1102
+ 00:29:41,820 --> 00:29:49,320
1103
+ ู‡ู†ุงุฎุฏ ุฌูˆุงุจ ู…ู† ุงู„ูƒุชุงุจ 0072 ูƒูˆูŠุณุŸ ู‡ุงุฏ ุงู„ two-tailed
1104
+
1105
+ 277
1106
+ 00:29:50,740 --> 00:29:54,460
1107
+ ุนุงูŠุฒุฉ one tail to the rightุŒ ุฅูŠุด ุจุนู…ู„ุŸ ุจุฌุณู…ู‡ุง
1108
+
1109
+ 278
1110
+ 00:29:54,460 --> 00:29:59,800
1111
+ ุงุชู†ูŠู†ุŒ ุฅุฐุง ุงู„ุฌูˆุงุจ ู…ูŠู†ุŸ ุงูŠู‡ุŸ ู„ุญุธุฉ ุจูŠู‡ one minus ู…ุด
1112
+
1113
+ 279
1114
+ 00:29:59,800 --> 00:30:07,060
1115
+ ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ุงู„ุจุฑูˆุจุฑุช ุงู„ู„ูŠ ุทู„ุนุช ุทู„ุนุช ู„ two
1116
+
1117
+ 280
1118
+ 00:30:07,060 --> 00:30:13,340
1119
+ tailsุŒ ู…ุธุจูˆุทุŸ ู„ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠุŒ ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠ ู…ุน ุจุนุถ ุฅุฐุง
1120
+
1121
+ 281
1122
+ 00:30:13,340 --> 00:30:15,920
1123
+ ุงู„ correct answer is aุŒ ุงู„ู„ูŠ ุจุนุฏู‡
1124
+
1125
+ 282
1126
+ 00:30:20,790 --> 00:30:23,230
1127
+ ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุชุฌุงุฑุฉ ุงู„ู€ CLIMB ูˆ ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ 1
1128
+
1129
+ 283
1130
+ 00:30:23,230 --> 00:30:25,770
1131
+ ู„ุฏูŠู‡ุง ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1132
+
1133
+ 284
1134
+ 00:30:25,770 --> 00:30:31,230
1135
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1136
+
1137
+ 285
1138
+ 00:30:31,230 --> 00:30:35,830
1139
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1140
+
1141
+ 286
1142
+ 00:30:35,830 --> 00:30:37,950
1143
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1144
+
1145
+ 287
1146
+ 00:30:37,950 --> 00:30:37,950
1147
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1148
+
1149
+ 288
1150
+ 00:30:37,950 --> 00:30:43,590
1151
+ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
1152
+
1153
+ 289
1154
+ 00:30:43,590 --> 00:30:46,030
1155
+ ุชู‚ู„ูŠู„ ุชู‚
1156
+
1157
+ 290
1158
+ 00:30:51,860 --> 00:30:57,540
1159
+ ุดูˆู ุฃูŠ ุณุคุงู„ ุฃูŠ ุณุคุงู„ ุณูˆุงุก ููŠ ุงู„ homework ุฃูˆ ููŠ ู‡ุฐุง
1160
+
1161
+ 291
1162
+ 00:30:57,540 --> 00:31:10,780
1163
+ ุงู„ุงุณู„ุญุฉ ููŠู‡ุง confidence interval ุชู„ุบูŠู‡ู… ุงู†ุญู„
1164
+
1165
+ 292
1166
+ 00:31:10,780 --> 00:31:14,560
1167
+ ุงุฎุฑ ูˆุงุญุฏ ุงุฎุฑ ุณุคุงู„
1168
+
1169
+ 293
1170
+ 00:31:28,830 --> 00:31:34,430
1171
+ ุงู„ุฑุฆูŠุณ .. ู†ุนู…
1172
+
1173
+ 294
1174
+ 00:31:34,430 --> 00:31:41,470
1175
+ ุงู„ูุชูˆู‰ุŒ ุฑุฆูŠุณ ุงู„ู…ุฏุฑุณุฉ ู…ู‡ุชู… ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุฏุฑุณูŠู†
1176
+
1177
+ 295
1178
+ 00:31:41,470 --> 00:31:49,120
1179
+ ู…ู† ู…ุฏุฑุณุชู‡ ุงู„ุฐูŠู† ูŠู…ุชู„ูƒูˆุง ุนุฑุถ ุนู…ู„ ุนู„ู‰ ูŠูˆู… ุงู„ู…ุฏุฑุณุฉู‡ูˆ
1180
+
1181
+ 296
1182
+ 00:31:49,120 --> 00:31:53,740
1183
+ ู…ู‡ุชู… ุจุงู„ุชุญู‚ูŠู‚ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ููŠ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ
1184
+
1185
+ 297
1186
+ 00:31:53,740 --> 00:32:02,600
1187
+ ู„ุชุญู‚ูŠู‚ ูˆู…ุนุงู„ุฌุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ูŠุนู†ูŠ ูู‡ูŠ ุนู†ุฏู‡ ุงุชูุงู‚ูŠู† ุงูˆ
1188
+
1189
+ 298
1190
+ 00:32:02,600 --> 00:32:08,660
1191
+ ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู† ุงูˆ ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู†
1192
+
1193
+ 299
1194
+ 00:32:08,660 --> 00:32:12,660
1195
+ In a random sample of a hundred of each type of
1196
+
1197
+ 300
1198
+ 00:32:12,660 --> 00:32:18,810
1199
+ major at graduation ุฃุฎุฏ ู…ูŠุฉ ู…ู† ุงู„ุฃูˆู„ูˆู…ูŠุฉ ู…ู†
1200
+
1201
+ 301
1202
+ 00:32:18,810 --> 00:32:25,330
1203
+ ุงู„ุชุงู†ูŠุฉ ู…ุด ุฎู…ุณูŠู† ุฎู…ุณูŠู† ู„ุงุญุธุด ุญูƒู‰ in a random
1204
+
1205
+ 302
1206
+ 00:32:25,330 --> 00:32:29,790
1207
+ sample of a hundred of each ู…ูŠุฉ ู…ู† ูƒู„ ูˆุงุญุฏ ูƒูˆูŠุณุฉ
1208
+
1209
+ 303
1210
+ 00:32:29,790 --> 00:32:38,630
1211
+ he found that 65 accounting majors 65 ู…ู† ู‡ู†ุง and
1212
+
1213
+ 304
1214
+ 00:32:38,630 --> 00:32:45,150
1215
+ 52 economics majors ู‡ุฏูˆู„
1216
+
1217
+ 305
1218
+ 00:32:45,150 --> 00:32:48,880
1219
+ ู…ุง ู‡ู…ู‡ูˆ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„
1220
+
1221
+ 306
1222
+ 00:32:48,880 --> 00:32:53,360
1223
+ ูˆูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1224
+
1225
+ 307
1226
+ 00:32:53,360 --> 00:32:59,300
1227
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ
1228
+
1229
+ 308
1230
+ 00:32:59,300 --> 00:33:03,940
1231
+ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1232
+
1233
+ 309
1234
+ 00:33:03,940 --> 00:33:03,940
1235
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1236
+
1237
+ 310
1238
+ 00:33:03,940 --> 00:33:03,980
1239
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1240
+
1241
+ 311
1242
+ 00:33:03,980 --> 00:33:04,440
1243
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
1244
+
1245
+ 312
1246
+ 00:33:04,440 --> 00:33:12,970
1247
+ ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†referring to this
1248
+
1249
+ 313
1250
+ 00:33:12,970 --> 00:33:16,950
1251
+ scenario the hypo .. the hypothesis the Dean
1252
+
1253
+ 314
1254
+ 00:33:16,950 --> 00:33:19,990
1255
+ should be used are ุฅูŠุด hypothesisุŸ null and
1256
+
1257
+ 315
1258
+ 00:33:19,990 --> 00:33:26,170
1259
+ alternate ู‡ูˆ ุฅูŠุด ุญูƒู‰ุŸ ุจูƒ ุชุทู„ุน ุงู„ู…ุซู„ุฉุŒ ุจุญูƒูŠ he is
1260
+
1261
+ 316
1262
+ 00:33:26,170 --> 00:33:30,130
1263
+ interested in seeing if there is significant
1264
+
1265
+ 317
1266
+ 00:33:30,130 --> 00:33:36,750
1267
+ difference in this proportion ู…ุงุญูƒูŠุด ู…ูŠู† ุฃูƒุจุฑุŒ
1268
+
1269
+ 318
1270
+ 00:33:36,750 --> 00:33:42,120
1271
+ ู…ุธู‡ุฑุŒ ู…ุฑุฉ ุชุงู†ูŠุฉู‡ูˆ ุญูƒู‰ interest in seeing if there
1272
+
1273
+ 319
1274
+ 00:33:42,120 --> 00:33:45,520
1275
+ is a difference ููŠ ูุฑู‚ ุงูˆ ู„ุง ู…ุน ูƒุฏู‡ ูŠุดูŠุฒ ุฌูˆุงุจ
1276
+
1277
+ 320
1278
+ 00:33:45,520 --> 00:33:53,460
1279
+ ุงู„ุตุญู‰ two-tailed test ุงุฐุง ุงู„ุฌูˆุงุจ ุงู…ุง a ุง ููŠ ู„ุง
1280
+
1281
+ 321
1282
+ 00:33:53,460 --> 00:33:57,880
1283
+ ูŠุณุงูˆูŠ ููŠ ุงู„ู†ุงู„ ุทุจุนุง ุฎุทุฃ ุจูŠ ุงู„ุตุญ ุงู„ู„ูŠ ู„ุง ูŠุณุงูˆูŠ
1284
+
1285
+ 322
1286
+ 00:33:57,880 --> 00:34:03,520
1287
+ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ alternative hypothesis ุงุฐุง ุจูŠ is the
1288
+
1289
+ 323
1290
+ 00:34:03,520 --> 00:34:04,160
1291
+ correct answer
1292
+
1293
+ 324
1294
+ 00:34:11,500 --> 00:34:15,220
1295
+ ุฎู„ุงุตุŸ ููŠู‡ ุณุคุงู„ุŸ stop at this point and next time
1296
+
1297
+ 325
1298
+ 00:34:15,220 --> 00:34:15,840
1299
+ shall continue
1300
+
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@@ -0,0 +1,1413 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,990 --> 00:00:25,190
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณุฃุชุญุฏุซ ุนู†
4
+
5
+ 2
6
+ 00:00:25,190 --> 00:00:31,690
7
+ ุงู„ู…ูˆุถูˆุน ุงู„ุฃุฎูŠุฑ ููŠ ู‡ุฐุง ุงู„ูƒุชุงุจ ุงู„ุญุฏุซ 12 ูŠุชุญุฏุซ ุนู† ู†ูˆุน
8
+
9
+ 3
10
+ 00:00:31,690 --> 00:00:46,590
11
+ ุฌุฏูŠุฏ ูŠุณู…ู‰ ูƒุงูŠ ุณูƒูˆูŠุฑ ุชุณุช ุญุฏุซ 11 ูƒุงูŠ
12
+
13
+ 4
14
+ 00:00:46,590 --> 00:00:47,090
15
+ ุณูƒูˆูŠุฑ
16
+
17
+ 5
18
+ 00:00:54,810 --> 00:01:01,070
19
+ CHI is pronounced as Chi and
20
+
21
+ 6
22
+ 00:01:01,070 --> 00:01:07,970
23
+ denoted by this symbol Chi square. Chi ุญุฑู ูŠูˆู†ุงู†ูŠ
24
+
25
+ 7
26
+ 00:01:07,970 --> 00:01:12,870
27
+ Greek letter ุฒูŠ Alpha ูˆ Beta ูˆ ุบูŠุฑู‡ุง ู‚ุจู„ู‡ุง ูู‡ุฐุง
28
+
29
+ 8
30
+ 00:01:12,870 --> 00:01:17,890
31
+ ุงู„ุฑู…ุฒ ุชุจุนู‡ ุฒูŠ ุงู„ X ุจุณ ุฅูŠุชุงู„ูŠูƒ ุดูˆูŠุฉ ูˆุนู„ูŠู‡ ุงู„ square
32
+
33
+ 9
34
+ 00:01:17,890 --> 00:01:23,670
35
+ Chi square. ูู‡ุฐุง ูŠู†ูุฐ ูƒุงูŠ ุฒูŠ alpha ุฒูŠ beta ู‡ุฏูˆู„
36
+
37
+ 10
38
+ 00:01:23,670 --> 00:01:29,470
39
+ agricultural ูˆุงุญุฏ ู…ู† ุงู„ุฃุญุฑู ุงู„ูŠูˆู†ุงู†ูŠุฉ ุงุณู…ู‡ ูƒุงูŠ
40
+
41
+ 11
42
+ 00:01:29,470 --> 00:01:34,290
43
+ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ู…ู† ุบูŠุฑ ุงู„ square ูƒุงูŠ
44
+
45
+ 12
46
+ 00:01:34,290 --> 00:01:40,070
47
+ ุงูƒุชุจูŠ ูƒูŠุงุจ ุงู„ุนุฑุจูŠ ูƒุงูŠ
48
+
49
+ 13
50
+ 00:01:40,070 --> 00:01:44,910
51
+ there
52
+
53
+ 14
54
+ 00:01:44,910 --> 00:01:48,150
55
+ is only one objective in this chapter: how and when
56
+
57
+ 15
58
+ 00:01:48,930 --> 00:01:52,170
59
+ to use the chi-square test for contingency tables
60
+
61
+ 16
62
+ 00:01:52,170 --> 00:01:59,130
63
+ ูƒูŠู ูˆู…ุชู‰ ุฃูˆ ู…ุชู‰ ูˆูƒูŠู ูŠู…ูƒู† ุงุณุชุฎุฏุงู… ุงู„ test ู„ุญุงุฌุฉ
64
+
65
+ 17
66
+ 00:01:59,130 --> 00:02:02,890
67
+ ุงุณู…ู‡ุง contingency tables. Now we will start with
68
+
69
+ 18
70
+ 00:02:02,890 --> 00:02:06,470
71
+ the definition of contingency tables. What does
72
+
73
+ 19
74
+ 00:02:06,470 --> 00:02:10,210
75
+ contingency table mean? ุงูŠุด ุจู‚ุตุฏ ุจุงู„ contingency
76
+
77
+ 20
78
+ 00:02:10,210 --> 00:02:17,060
79
+ table? ุงูŠุด ู…ุนู†ุงู‡ุŸ ู‡ู†ุนุฑู ุจุนุฏ ุดูˆูŠุฉ contingency tables
80
+
81
+ 21
82
+ 00:02:17,060 --> 00:02:20,300
83
+ are useful in situations comparing multiple populations'
84
+
85
+ 22
86
+ 00:02:20,300 --> 00:02:26,580
87
+ proportions. ุจุณุชุฎุฏู…ู‡ู… ู„ุนู…ู„ ู…ู‚ุงุฑู†ุฉ proportions ู…ู…ูƒู†
88
+
89
+ 23
90
+ 00:02:26,580 --> 00:02:29,600
91
+ ุงุชู†ูŠู† ุฃูˆ ุฃูƒุซุฑ ูŠุนู†ูŠ two or more populations
92
+
93
+ 24
94
+ 00:02:29,600 --> 00:02:34,040
95
+ proportions. You classify sample observations
96
+
97
+ 25
98
+ 00:02:34,040 --> 00:02:37,300
99
+ according to two or more characteristics. ุฎุฏู†ุง
100
+
101
+ 26
102
+ 00:02:37,300 --> 00:02:40,800
103
+ ู‚ุจู„ู‡ุง ููŠ chapter 10 ู„ู…ุง ุจู†ุญูƒูŠ male ูˆ female ูˆ
104
+
105
+ 27
106
+ 00:02:40,800 --> 00:02:43,840
107
+ ุจู†ุญูƒูŠ yes ูˆ no. ู‡ุฐูˆ ู†ุณู…ูŠู‡ two characteristics
108
+
109
+ 28
110
+ 00:02:45,040 --> 00:02:47,120
111
+ Sometimes we have more than two characteristics
112
+
113
+ 29
114
+ 00:02:47,120 --> 00:02:54,120
115
+ like what's your opinion about ุฃุดูŠุงุก ู…ุนูŠู†ุฉ ุดุบู„ุฉ
116
+
117
+ 30
118
+ 00:02:54,120 --> 00:02:58,560
119
+ ู…ุนูŠู†ุฉ either agree or disagree. ู‡ุฐุง ู†ุณู…ูŠู‡ two
120
+
121
+ 31
122
+ 00:02:58,560 --> 00:03:03,400
123
+ proportions, but sometimes we could have strongly
124
+
125
+ 32
126
+ 00:03:03,400 --> 00:03:08,160
127
+ agree, agree, disagree, and strongly disagree. ูููŠ ู‡ุฐู‡
128
+
129
+ 33
130
+ 00:03:08,160 --> 00:03:12,880
131
+ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ ุฃุฑุจุน ู…ู‚ุงุฑู†ุฉ ุฃูˆ ุฃุฑุจุน ู…ู‚ุงุฑู†ุงุช. ููƒูŠู ูŠู…ูƒู†ู†ุง
132
+
133
+ 34
134
+ 00:03:12,880 --> 00:03:16,000
135
+ ุฃู† ู†ุฌุนู„ ู…ู‚ุงุฑู†ุฉ ุงู„ contingency table ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง
136
+
137
+ 35
138
+ 00:03:16,000 --> 00:03:17,540
139
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
140
+
141
+ 36
142
+ 00:03:17,540 --> 00:03:19,880
143
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
144
+
145
+ 37
146
+ 00:03:19,880 --> 00:03:20,580
147
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
148
+
149
+ 38
150
+ 00:03:20,580 --> 00:03:21,100
151
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
152
+
153
+ 39
154
+ 00:03:21,100 --> 00:03:23,000
155
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู†
156
+
157
+ 40
158
+ 00:03:23,000 --> 00:03:34,590
159
+ ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุฃูƒุซุฑ ู…ู† ุงุชูˆุงูู‚ุŒ ุฎู„ู‘ูŠู‡ุง ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
160
+
161
+ 41
162
+ 00:03:34,590 --> 00:03:37,530
163
+ ูˆุฎู„ุงุต ูƒู†ุชูŠู† ุฌู†ุณ ุชุงุจุน ูŠุนู†ูŠ ุจุชูƒูˆู† ุนู†ุฏูƒ .. ุจุชุนู…ู„
164
+
165
+ 42
166
+ 00:03:37,530 --> 00:03:41,150
167
+ comparison between two or more populations'
168
+
169
+ 43
170
+ 00:03:41,150 --> 00:03:45,130
171
+ proportions. ุฃูˆู„ ุฌุงุจุชูˆุฏ ุฅู† ุดุงุก ุงู„ู„ู‡ just example
172
+
173
+ 44
174
+ 00:03:45,130 --> 00:03:48,530
175
+ for two characteristics. ู„ูˆ ูƒู†ุง ููŠู‡ุง ุนู†ุฏ ุงุชู†ูŠู†
176
+
177
+ 45
178
+ 00:03:48,530 --> 00:03:52,850
179
+ ุงู„ู…ุนู†ู‰ ูƒุฏู‡ ุงู„ู…ูˆุถูˆุน ุงู„ูŠูˆู… ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ููŠ ุดู‡ุฑ
180
+
181
+ 46
182
+ 00:03:52,850 --> 00:03:56,270
183
+ ุนุดุฑุฉ ููŠ ุดู‡ุฑ ุนุดุฑุฉ ุฃุฎุฏู†ุง comparing between two
184
+
185
+ 47
186
+ 00:03:56,270 --> 00:04:00,030
187
+ proportions. ู‡ู†ุง ุจุฑุถู‡ ู‡ู†ุงุฎุฏ comparing two
188
+
189
+ 48
190
+ 00:04:00,030 --> 00:04:03,020
191
+ population proportions. ูŠุนู†ูŠ ุงู„ู„ูŠ ุญู„ู„ู†ุงู‡ ููŠ ุดุจุงุท
192
+
193
+ 49
194
+ 00:04:03,020 --> 00:04:08,520
195
+ ุงู„ุนุดุฑุฉ ุจู…ู…ูƒู† ุฃู† ู†ุญู„ู‡ ุจู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ุชุจุน comparing
196
+
197
+ 50
198
+ 00:04:08,520 --> 00:04:11,800
199
+ two population proportions. For example, ุงู„
200
+
201
+ 51
202
+ 00:04:11,800 --> 00:04:13,900
203
+ contingency ุชุงุจุน ุนุดุงู† ู†ุนุฑู ุฅูŠุด ู…ูุฑูˆุถ ุงู„
204
+
205
+ 52
206
+ 00:04:13,900 --> 00:04:17,860
207
+ contingency ุชุงุจุน. ุจุชูƒู„ู… ุงู„ example ุนู„ู‰ left-handed
208
+
209
+ 53
210
+ 00:04:17,860 --> 00:04:25,760
211
+ versus gender. ุจุชุนุฑู ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠูƒูˆู† ุจูŠุณุชุฎุฏู… ุงู„
212
+
213
+ 54
214
+ 00:04:25,760 --> 00:04:30,220
215
+ left hand or ุงู„ right hand. ูู…ู…ูƒู† ุงู„ dominant hand
216
+
217
+ 55
218
+ 00:04:30,220 --> 00:04:36,300
219
+ ุชูƒูˆู† left. ูŠุนู†ูŠ ุงู„ู…ุณูŠุทุฑ dominant ู…ุนู†ุงู‡ ู…ุณูŠุทุฑ ุฃูˆ
220
+
221
+ 56
222
+ 00:04:36,300 --> 00:04:40,810
223
+ ู…ู‡ูŠู…ู† ุนู„ูŠูƒ. ุชุณุชุฎุฏู… either left hand or right hand.
224
+
225
+ 57
226
+ 00:04:40,810 --> 00:04:44,250
227
+ ูููŠ ุนู†ุฏูŠ two characteristics. Either I use my left
228
+
229
+ 58
230
+ 00:04:44,250 --> 00:04:47,750
231
+ or your right hand, and the other variable is
232
+
233
+ 59
234
+ 00:04:47,750 --> 00:04:51,450
235
+ called gender, either male or female. So in this
236
+
237
+ 60
238
+ 00:04:51,450 --> 00:04:53,910
239
+ case, there are two characteristics for each
240
+
241
+ 61
242
+ 00:04:53,910 --> 00:04:56,910
243
+ variable. So there are two variables, each one has
244
+
245
+ 62
246
+ 00:04:56,910 --> 00:05:00,890
247
+ two characteristics: either male and female or use
248
+
249
+ 63
250
+ 00:05:00,890 --> 00:05:08,350
251
+ left or right hand. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุงูƒ 2 ู…ุฌู…ูˆุนุงุช ู„ูƒู„
252
+
253
+ 64
254
+ 00:05:08,350 --> 00:05:17,430
255
+ ู…ุฌู…ูˆุนุฉ ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
256
+
257
+ 65
258
+ 00:05:17,430 --> 00:05:20,330
259
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
260
+
261
+ 66
262
+ 00:05:20,330 --> 00:05:23,170
263
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
264
+
265
+ 67
266
+ 00:05:23,170 --> 00:05:23,510
267
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
268
+
269
+ 68
270
+ 00:05:23,510 --> 00:05:23,890
271
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
272
+
273
+ 69
274
+ 00:05:23,890 --> 00:05:28,510
275
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2.
276
+
277
+ 70
278
+ 00:05:28,510 --> 00:05:38,080
279
+ ู…ุฌู…ูˆุนุงุช ุชุณู…ู‰ 2x2. ูˆุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุฃุนุทุงู†ู‰ ู‡ุฐุง ุงู„ูˆุถุน hand
280
+
281
+ 71
282
+ 00:05:38,080 --> 00:05:42,980
283
+ preference. ุงู„ูŠุฏ ุงู„ู„ูŠ ูˆุงุญุฏ ุจูŠุณุชุฎุฏู…ู‡ุง ูˆุงู„ู…ูุถู„ุฉ ู„ู‡
284
+
285
+ 72
286
+ 00:05:42,980 --> 00:05:50,680
287
+ ูˆ ู‡ุง ุงู„ gender. ูู…ุงูŠู„ ูˆู…ุงูŠู„ ูˆ left ูˆ right ู„ุฐู„ูƒ
288
+
289
+ 73
290
+ 00:05:50,680 --> 00:05:58,480
291
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู„ุฏูŠู†ุง ู…ุซุงู„ 300 ุฃุทูุงู„. ู‡ุฐุง ุงู„ู…ุซุงู„ ูŠุนุทูŠ ู‡ุฐุง
292
+
293
+ 74
294
+ 00:05:58,480 --> 00:06:06,940
295
+ ุงู„ูˆุถุน. ู‡ู†ุงูƒ ุงุชุฎุงุฐูŠู† ุงู„ุฎูŠุงุฑ ุงู„ูŠุฏ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ
296
+
297
+ 75
298
+ 00:06:06,940 --> 00:06:07,740
299
+ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ
300
+
301
+ 76
302
+ 00:06:07,740 --> 00:06:09,040
303
+ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ุงู„ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
304
+
305
+ 77
306
+ 00:06:09,040 --> 00:06:09,560
307
+ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
308
+
309
+ 78
310
+ 00:06:09,560 --> 00:06:09,680
311
+ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
312
+
313
+ 79
314
+ 00:06:09,680 --> 00:06:13,680
315
+ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
316
+
317
+ 80
318
+ 00:06:13,680 --> 00:06:18,660
319
+ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ ุฃูˆ ูŠุณุฑ
320
+
321
+ 81
322
+ 00:06:18,660 --> 00:06:25,340
323
+ ุฃูˆ ูŠุณุฑ ุฃูˆ
324
+
325
+ 82
326
+ 00:06:25,340 --> 00:06:30,280
327
+ 108 ู‡ูˆ ุนุฏุฏ ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ููŠ ู‡ุฐุง ุงู„ูˆุตูุŒ ู„ุฐู„ูƒ
328
+
329
+ 83
330
+ 00:06:30,280 --> 00:06:33,500
331
+ ุนุฏุฏ ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ู‡ูˆ 300ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ู‡ูˆ ุนุฏุฏ ุงู„ุฃุทูุงู„
332
+
333
+ 84
334
+ 00:06:33,500 --> 00:06:39,820
335
+ ุงู„ู…ุฌุชู…ุนูŠ. ุนุฏุฏ ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ุฑูˆูŠุฉ ูˆู„ุฏูŠู†ุง ุฃูŠุถู‹ุง ุนุฏุฏ
336
+
337
+ 85
338
+ 00:06:39,820 --> 00:06:45,820
339
+ ุงู„ุฃุทูุงู„ ุงู„ู…ุฌุชู…ุนูŠ ูƒูˆู„ูˆู…ุฉ. ู‡ุฐุง ุงู„ุนุฑุถ ูŠุณู…ู‰ 2x2 ู„ุฃู† ู‡ู†ุงูƒ
340
+
341
+ 86
342
+ 00:06:45,820 --> 00:06:53,870
343
+ 2 ุฑูˆูŠุฉ ูˆ 2 ูƒูˆู„ูˆู…ุฉ. ุฃู†ุง ู„ุง ุฃุญุณุจ ุนุฏุฏ ุงู„ุฃุทูุงู„. ูˆุงุญุฏุฉ ุจู†ุตูˆู
344
+
345
+ 87
346
+ 00:06:53,870 --> 00:06:56,450
347
+ ูˆ ู„ุงุนุจ ุฏู‡ ู…ุด ู‡ูŠูƒ ุงู„ู„ูŠ ุจูŠู†ุญุณุจ ุจุณ ุงู„
348
+
349
+ 88
350
+ 00:06:56,450 --> 00:06:59,650
351
+ characteristics. ู„ุนู†ุฏูŠ ุงู„ male ูˆ female left ูˆ
352
+
353
+ 89
354
+ 00:06:59,650 --> 00:07:04,570
355
+ right. ุจุงู„ุชุงู„ูŠ there are two rows ูˆ ุงุซู†ูŠู† ูˆ two
356
+
357
+ 90
358
+ 00:07:04,570 --> 00:07:08,770
359
+ columns. ู†ุจุฏุฃ ุจุงู„ุฑูˆู ุงู„ุฃูˆู„. two rows and two columns
360
+
361
+ 91
362
+ 00:07:08,770 --> 00:07:12,130
363
+ so this table is called two by two. So in this case,
364
+
365
+ 92
366
+ 00:07:12,130 --> 00:07:17,690
367
+ sample size n is 300. Among these 300, there are 120
368
+
369
+ 93
370
+ 00:07:17,690 --> 00:07:26,630
371
+ females. ูˆ ุจูŠู† ู‡ุฐุง ุงู„ุฑู‚ู… ูŠูˆุฌุฏ 12 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ
372
+
373
+ 94
374
+ 00:07:26,630 --> 00:07:31,690
375
+ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180
376
+
377
+ 95
378
+ 00:07:31,690 --> 00:07:36,350
379
+ ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง
380
+
381
+ 96
382
+ 00:07:36,350 --> 00:07:36,430
383
+ ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠ๏ฟฝ๏ฟฝุฌุฏ 180 ุดุฎุตู‹ุง
384
+
385
+ 97
386
+ 00:07:36,430 --> 00:07:36,510
387
+ ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง
388
+
389
+ 98
390
+ 00:07:36,510 --> 00:07:41,530
391
+ ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180 ุดุฎุตู‹ุง
392
+
393
+ 99
394
+ 00:07:41,530 --> 00:07:46,970
395
+ ูŠุชุญุฑูƒูˆู† ูˆูŠูˆุฌุฏ 180
396
+
397
+ 100
398
+ 00:07:46,970 --> 00:07:51,370
399
+ ุดุฎุตู‹ุง ูŠุชุญุฑูƒูˆู†. ุงู„ุขู† ุงู„ null ูˆุงู„ alternate
400
+
401
+ 101
402
+ 00:07:51,370 --> 00:07:55,010
403
+ hypothesis ุงู„ุชูŠ ุชุญุฏุซู†ุง ุนู†ู‡ุง ููŠ ุงู„ุญู„ู‚ุฉ ุงู„ุชุงุณุนุฉ. ุงู„
404
+
405
+ 102
406
+ 00:07:55,010 --> 00:08:00,830
407
+ null ู‡ูŠ ุงู„ hypothesis. p1 ูŠู‚ู„ p2. ู‡ุฐุง ูŠุนู†ูŠ ุฃู†
408
+
409
+ 103
410
+ 00:08:00,830 --> 00:08:04,250
411
+ ู…ุฌู…ูˆุนุฉ ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ุชู‚ู„ ู„ู…ุฌู…ูˆุนุฉ
412
+
413
+ 104
414
+ 00:08:04,250 --> 00:08:08,050
415
+ ุงู„ูุชุงุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ. ูŠุนู†ูŠ ู†ุณุจุฉ ุงู„ุฅู†ุงุซ ุงู„ู„ูŠ
416
+
417
+ 105
418
+ 00:08:08,050 --> 00:08:10,090
419
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰ ุจูŠุณุชุฎุฏู…ูˆุง ู†ุณุจุฉ ุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ
420
+
421
+ 106
422
+ 00:08:10,090 --> 00:08:15,270
423
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰. ู†ุญู† ู†ุฌุฑุจ ู‡ุฐู‡ ุงู„ hypothesis ุงู„ุชุงู„ูŠุฉ
424
+
425
+ 107
426
+ 00:08:15,270 --> 00:08:17,830
427
+ ุถุฏ ุงู„ hypothesis ุงู„ุชุบูŠูŠุฑูŠุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู…ุชุณุงูˆูŠุฉ
428
+
429
+ 108
430
+ 00:08:17,830 --> 00:08:21,170
431
+ ุจูˆุงุณุทุฉ ุงุซู†ูŠู†. ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุงู„ุงุชุฌุงุฑุงุช ุงู„ุงุซู†ูŠู† ู„ูŠุณุช
432
+
433
+ 109
434
+ 00:08:21,170 --> 00:08:22,210
435
+ ู…ุชุณุงูˆูŠุฉ. ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ ู„ูŠุณุช ู…ุชุณุงูˆูŠุฉ ุจูˆุงุณุทุฉ ูˆุงุญุฏุฉ
436
+
437
+ 110
438
+ 00:08:22,210 --> 00:08:28,650
439
+ ุจูˆุงุณุทุฉ ุงุซู†ูŠู†. ุงู„ุขู† ุฏุนูˆู†ุง ู†ุฑู‰ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ู‚ุฑุฑ ุฃู†
440
+
441
+ 111
442
+ 00:08:28,650 --> 00:08:32,610
443
+ ู†ุชูุฑุฌ ุฃูˆ ู„ุง ู†ุชูุฑุฌ ุนู„ู‰ ู†ู‚ุทุฉ ุฃุฒุฑุน ุจุณุจุจ ู…ุตุงุฏู‚ุฉ ุฌุฏูŠุฏุฉ
444
+
445
+ 112
446
+ 00:08:32,610 --> 00:08:37,930
447
+ ุงุณู…ู‡ุง test chi-square. ุงุฎุชุจุงุฑ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ู†ุณู…ูŠู‡ chi
448
+
449
+ 113
450
+ 00:08:37,930 --> 00:08:40,170
451
+ -square. ู…ุตุงุฏู‚ุฉ chi-square. ู…ุตุงุฏู‚ุฉ
452
+
453
+ 114
454
+ 00:08:44,440 --> 00:08:51,960
455
+ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฃุณุชุงุฐ equals f
456
+
457
+ 115
458
+ 00:08:51,960 --> 00:08:59,100
459
+ observed minus f expected squared. Then we have
460
+
461
+ 116
462
+ 00:08:59,100 --> 00:09:07,200
463
+ summation all cells. Now where fo it's called
464
+
465
+ 117
466
+ 00:09:07,200 --> 00:09:12,460
467
+ observed frequency in particular cell. Cell ู…ุนู†ุงู‡ุง
468
+
469
+ 118
470
+ 00:09:13,500 --> 00:09:16,820
471
+ ุฎู„ูŠุฉ. ูˆุฎู„ูŠุฉ ู…ุนู†ุงู‡ุง ู‡ู†ุง ููŠ ุงู„ table. In this case,
472
+
473
+ 119
474
+ 00:09:16,820 --> 00:09:22,060
475
+ there are four cells. ู‡ุฏูˆู„ cell head cell ู…ูŠุฉ ูˆ
476
+
477
+ 120
478
+ 00:09:22,060 --> 00:09:25,920
479
+ ุซู…ุงู†ูŠู† cell. ู…ูŠุฉ ูˆ ุซู…ุงู†ูŠู†. 24 cell. One fifty six
480
+
481
+ 121
482
+ 00:09:25,920 --> 00:09:30,580
483
+ cell. So there are four cells. So in this case, there
484
+
485
+ 122
486
+ 00:09:30,580 --> 00:09:35,680
487
+ are four cells. Now f o is called observed
488
+
489
+ 123
490
+ 00:09:35,680 --> 00:09:39,100
491
+ frequency.
492
+
493
+ 124
494
+ 00:09:41,650 --> 00:09:44,890
495
+ observed ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ table. ูŠุนู†ูŠ 12ุŒ
496
+
497
+ 125
498
+ 00:09:45,290 --> 00:09:50,470
499
+ 108ุŒ 24ุŒ 156. They are called observed frequencies.
500
+
501
+ 126
502
+ 00:09:50,470 --> 00:09:56,350
503
+ is an observed ุงู„ู…ุนุชู†ูŠู‡ู… ููŠ ุงู„ table. ุงู„ F E
504
+
505
+ 127
506
+ 00:09:56,350 --> 00:10:01,090
507
+ expected frequency.
508
+
509
+ 128
510
+ 00:10:03,890 --> 00:10:06,810
511
+ ูˆูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุชุญุณูŠู† ุงู„ Expected Frequencies ู„ูƒู„
512
+
513
+ 129
514
+ 00:10:06,810 --> 00:10:10,750
515
+ ุฌู‡ุฉ. ู„ุฐุง ูŠุฌุจ ุฃู† ู†ุญุณุจ ุงู„ Expected Frequency. ูƒูŠู
516
+
517
+ 130
518
+ 00:10:10,750 --> 00:10:16,790
519
+ ุณู†ุญุณุจู‡ุงุŸ ุณู†ุฑู‰ ุจุนุฏ ู‚ู„ูŠู„. ูุงู„ FO
520
+
521
+ 131
522
+ 00:10:16,790 --> 00:10:21,730
523
+ ูŠุณู…ู‰ ุจ Observed Frequency ูˆ FE ุจ Expected Frequency.
524
+
525
+ 132
526
+ 00:10:21,730 --> 00:10:27,190
527
+ ุฅุฐุง ูƒุงู†ุช ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุง ู†ุญุณุจ ุงู„ FE ุจุงูุชุฑุงุถ ุฃู†ู‡
528
+
529
+ 133
530
+ 00:10:27,190 --> 00:10:31,650
531
+ ุนุงู„ู…ูŠุฉ ู…ู† ุฎู„ุงู„ู‡ุง. ุงู„ุขู† ู‡ุฐุง ุงู„ุงุณู…ุŒ ุงู„ุงุณู… ูƒุงูŠ ุณูƒูˆุงุฑ
532
+
533
+ 134
534
+ 00:10:31,650 --> 00:10:40,430
535
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ
536
+
537
+ 135
538
+ 00:10:40,430 --> 00:10:44,350
539
+ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ
540
+
541
+ 136
542
+ 00:10:44,350 --> 00:10:47,190
543
+ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ูŠุนู†ูŠ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ.
544
+
545
+ 137
546
+ 00:10:47,190 --> 00:10:51,650
547
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
548
+
549
+ 138
550
+ 00:10:51,650 --> 00:10:57,730
551
+ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ.
552
+
553
+ 139
554
+ 00:10:57,730 --> 00:10:58,050
555
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ
556
+
557
+ 140
558
+ 00:10:58,050 --> 00:10:59,250
559
+ ู„ุฏูŠู‡ ูƒุงูŠ ุณูƒูˆุงุฑ ุจูˆุงุณุทุฉ ุญุฑูŠุฉ ูˆุงุญุฏุฉ. ู„ุฏูŠู‡ ูƒุงูŠ ู‡ูŠ Sky
560
+
561
+ 141
562
+ 00:10:59,250 --> 00:11:02,690
563
+ -square distribution with one degree of freedom.
564
+
565
+ 142
566
+ 00:11:02,690 --> 00:11:06,590
567
+ ุฅุฐุง ุฅู„ู‡ ุชูˆุฒูŠุน ู…ุฑุจุน ูƒุงูŠ ุจุฏุฑุฌุงุช ุญุฑูŠุฉ ุจุณุงูˆุฉ ูˆุงุญุฏ. ููŠ
568
+
569
+ 143
570
+ 00:11:06,590 --> 00:11:11,010
571
+ assumption as we used in T-test and Z-test. In this
572
+
573
+ 144
574
+ 00:11:11,010 --> 00:11:15,350
575
+ case, each cell in the contingency table. ูƒู„ cell ููŠ
576
+
577
+ 145
578
+ 00:11:15,350 --> 00:11:20,030
579
+ ุงู„ table has expected frequency of at least five.
580
+
581
+ 146
582
+ 00:11:20,030 --> 00:11:23,810
583
+ ูŠุนู†ูŠ ู„ู…ุง ุจุญุณุจ expected frequency ู„ุงุฒู… ูŠูƒูˆู† ุนู„ู‰
584
+
585
+ 147
586
+ 00:11:23,810 --> 00:11:29,970
587
+ ุงู„ุฃู‚ู„ ุจุณุงูˆุฉ ุฎู…ุณุฉ. ู‡ูŠ ุงู„ุดุฑุท ุชุจุนู†ุง. ู‡ูˆ ุฏู‡ ุงู„ุดุฑุท. Is
588
+
589
+ 148
590
+ 00:11:29,970 --> 00:11:39,430
591
+ always for two by two. Now again the chi-square
592
+
593
+ 149
594
+ 00:11:39,430 --> 00:11:44,530
595
+ statistic test approximately follows chi-square
596
+
597
+ 150
598
+ 00:11:44,530 --> 00:11:47,610
599
+ distribution with one degree of freedom. ู„ูˆ ุชุทู„ุน
600
+
601
+ 151
602
+ 00:11:47,610 --> 00:11:52,010
603
+ ุนู„ู‰ ุงู„ shape ุชุจุน ุงู„ chi-square. Is it symmetricุŸ ู‡ู„
604
+
605
+ 152
606
+ 00:11:52,010 --> 00:11:57,720
607
+ ู‡ูˆ ู…ุชู…ุซู„ุŸ ู„ุฃ. Skewed right ูˆู„ุง leftุŸ Right. ู„ุฃู† ุงู„
608
+
609
+ 153
610
+ 00:11:57,720 --> 00:12:02,380
611
+ right tail is longer than left tail. ูˆ actually
612
+
613
+ 154
614
+ 00:12:02,380 --> 00:12:07,680
615
+ there is no left tail. ุฏุงุฆู…ู‹ุง positive ุฃูˆ non
616
+
617
+ 155
618
+ 00:12:07,680 --> 00:12:13,220
619
+ -negative. ู…ุจุฏุฃ ู…ู† ุงู„ zero. ูุงู„ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ู‹ุง right
620
+
621
+ 156
622
+ 00:12:13,220 --> 00:12:21,000
623
+ skewed. ูˆ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฏุงุฆู…ู‹ุง non-negative. ุฅุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
624
+
625
+ 157
626
+ 00:12:21,000 --> 00:12:21,260
627
+ ุณูƒูˆูŠุฑ
628
+
629
+ 158
630
+ 00:12:27,270 --> 00:12:36,650
631
+ ู‡ูŠ ุงู„ุฌุฏูˆู„ ุงู„ู„ูŠ
632
+
633
+ 159
634
+ 00:12:36,650 --> 00:12:40,510
635
+ ุนู†ุฏูƒ
636
+
637
+ 160
638
+ 00:12:40,510 --> 00:12:49,490
639
+ ููŠ ุงู„ุขุฎุฑ. ุงู„ุฌุฏูˆู„ ููŠ ูƒุงูŠ ุณูƒูˆูŠุฑ ุฃุนุชู‚ุฏ
640
+
641
+ 161
642
+ 00:12:49,490 --> 00:12:50,210
643
+ 282
644
+
645
+ 162
646
+ 00:13:08,200 --> 00:13:15,780
647
+ 287. ุฅุฐุง ุงู„ table ุงู„ู„ูŠ ุจุญูƒูŠ ุนู„ูŠู‡ on page 287.
648
+
649
+ 163
650
+ 00:13:15,780 --> 00:13:22,600
651
+ 287. ุฅุฐุง ู‡ุฐุง ูƒุงูŠ ุณูƒูˆูŠุฑ table ุฒูŠ ุงู„ T ุจุงู„ุธุจุท. ุงู„
652
+
653
+ 164
654
+ 00:13:22,600 --> 00:13:25,820
655
+ table ุดูƒู„ู‡ ุงู„ T ู„ูƒู† ุทุจุนู‹ุง ุงู„ T negative ูˆ positive.
656
+
657
+ 165
658
+ 00:13:25,820 --> 00:13:31,550
659
+ ู‡ู†ุง ุจุณ positive. ุงูŠู‡ ุนู†ุฏูŠ ุงู„ right tail is longer. ููŠ
660
+
661
+ 166
662
+ 00:13:31,550 --> 00:13:35,170
663
+ ุนู†ุฏ ุงู„ rows represent degrees of freedom. ุงู„ุตููˆู
664
+
665
+ 167
666
+ 00:13:35,170 --> 00:13:39,450
667
+ ุชู…ุซู„ ุฏุฑุฌุงุช ุงู„ุญุฑูŠุฉ. ูˆ ุงู„ columns represent the area
668
+
669
+ 168
670
+ 00:13:39,450 --> 00:13:44,490
671
+ to the right. I mean Alpha. ูููŠ
672
+
673
+ 169
674
+ 00:13:44,490 --> 00:13:49,390
675
+ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุณู†ุณุชุฎุฏู… Df equal one. ูุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ
676
+
677
+ 170
678
+ 00:13:49,390 --> 00:13:54,290
679
+ ุฅุฐุง Alpha ู‡ูˆ 5% ุซู…
680
+
681
+ 171
682
+ 00:13:54,290 --> 00:13:58,090
683
+ K square Alpha ู‡ูˆ 3.84.
684
+
685
+ 172
686
+ 00:14:02,330 --> 00:14:05,190
687
+ ู„ุฐู„ูƒ ูู‚ุท ุชุจุญุซ ุนู† ุนุฏุฏ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
688
+
689
+ 173
690
+ 00:14:05,190 --> 00:14:10,590
691
+ ูู‡ู†ุงูƒ ูˆุงุญุฏ ูู‚ุท. ุฃูŠุถู‹ุง ุชุจุญุซ ุนู† ุนุฏุฏ ุฃู„ู ุฃุนู†ูŠ ุงู„ุนุฏุฏ
692
+
693
+ 174
694
+ 00:14:10,590 --> 00:14:18,130
695
+ ุงู„ูˆุงุญุฏ. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู 5%. ู„ุฐู„ูƒ ูˆุงุญุฏ ุถุฏ 5 ู‡ูˆ 3.84.
696
+
697
+ 175
698
+ 00:14:18,130 --> 00:14:22,630
699
+ ุทุฑูŠู‚ุฉ ุงุณุชุฎุฏุงู…ู‡ ุฒูŠ ุงู„ T ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ. ุฒูŠูƒ
700
+
701
+ 176
702
+ 00:14:22,630 --> 00:14:31,010
703
+ ุจุงุณุชุฎุฏุงู… ูƒุงูŠ ุณูƒูˆุงุฑุช ุชุงุจูˆุฑ. ู…ุฑุฉ ุฃุฎุฑู‰ ุฅุฐุง ู‚ูŠู…ุฉ ูƒุงูŠ
704
+
705
+ 177
706
+ 00:14:31,010 --> 00:14:35,950
707
+ ุณูƒูˆุงุฑ ุชู‚ุน ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต ู…ู†ู‡ุง. ุซู… ู†ุชุฎู„ุต ู…ู†ู‡ุง.
708
+
709
+ 178
710
+ 00:14:35,950 --> 00:14:43,650
711
+ ู†ูุณ ุงู„ุดูŠุก ุงู„ู„ูŠ ู†ุชุญุฏุซ ุนู†ู‡ ุนุฏุฉ ู…ุฑุงุช. ู…ุฑุฉ ุฃุฎุฑู‰ ูƒุงูŠู†
712
+
713
+ 179
714
+ 00:14:43,650 --> 00:14:48,910
715
+ ุณูƒูˆุงุฑ ู…ุฑุชุจุท ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ ูˆุฅุฐุง
716
+
717
+ 180
718
+ 00:14:48,910 --> 00:14:53,070
719
+ ู‚ูŠู…ุฉ ูƒุงูŠู† ุณูƒูˆุงุฑ ุงู„ุงู†ุชุฌุงุฑุงุช ุชุชุฎู„ุต ู…ู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุฎู„ุต
720
+
721
+ 181
722
+ 00:14
723
+
724
+ 216
725
+ 00:17:52,420 --> 00:17:57,820
726
+ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑ 12%ุŒ ุนุฏุฏ ุงู„ู€ females 120 ู…ุน ูƒุฏู‡
727
+
728
+ 217
729
+ 00:17:57,820 --> 00:18:01,920
730
+ ู‚ุฏ ุงูŠุด ู†ุณุจุฉ ุงู„ู€ females ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ูˆุง ูŠุฏ ุงู„ูŠุณุฑู‰ ุจุชูˆู‚ุนุŸ
731
+
732
+ 218
733
+ 00:18:01,920 --> 00:18:08,040
734
+ ุนุฏุฏู‡ู… ู‡ูˆ ุงู„ู€ number of females 120ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ุงูŠุด
735
+
736
+ 219
737
+ 00:18:08,040 --> 00:18:13,260
738
+ ุจุชูˆู‚ุน ูŠูƒูˆู† ุนุฏุฏู‡ู…ุŸ ุงู„ู€ 120 ููŠ 12%ุŒ ู…ุด ู‡ูŠูƒุŸ ุงูŠุด
739
+
740
+ 220
741
+ 00:18:13,260 --> 00:18:22,620
742
+ ุจุชุณุงูˆูŠุŸ 14.4 ุทูŠุจ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ males ุงูŠุด ุนุฏุฏู‡ู…ุŸ 180
743
+
744
+ 221
745
+ 00:18:22,620 --> 00:18:27,300
746
+ ุงูŠุด ุจุชูˆู‚ุน ูŠูƒูˆู† ู…ุณุชุฎุฏู…ูŠ ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ุŸ ุงู„ู€ 180 ููŠ 12%ุŒ
747
+
748
+ 222
749
+ 00:18:27,300 --> 00:18:30,760
750
+ ู…ุด ู‡ูŠูƒุŸ ุจูŠุทู„ุน 21.6
751
+
752
+ 223
753
+ 00:18:33,510 --> 00:18:38,030
754
+ ุฅุฐุง ู‡ุงูŠ ู‡ูŠ ุจุชุทู„ุน ุงู„ู€ expected frequency ุจุชุทู„ุน ุงู„ู€
755
+
756
+ 224
757
+ 00:18:38,030 --> 00:18:42,850
758
+ overall proportion ูˆุจุถุฑุจู‡ุง ููŠ ุงู„ู€ number of males ุฃูˆ
759
+
760
+ 225
761
+ 00:18:42,850 --> 00:18:49,130
762
+ ุงู„ู€ raw total ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุงู„ุขู†
763
+
764
+ 226
765
+ 00:18:49,130 --> 00:19:00,710
766
+ ุงู„ู€ 12ุŒ 108ุŒ 24ุŒ 156 ู‡ุฏูˆู„ ุงูŠุด ุณู…ูŠู†ุงู‡ู…ุŸ observed ุทุจ ุงู„ู€
767
+
768
+ 227
769
+ 00:19:00,710 --> 00:19:02,510
770
+ expected ุทู„ุนู†ุงู‡ุง ุจุชุณุงูˆูŠ
771
+
772
+ 228
773
+ 00:19:05,100 --> 00:19:11,480
774
+ 14.4 ู…ุด ู‡ูŠูƒุŸ ู‡ุฐูˆู„ ุฃู†ุง ู…ุชูˆู‚ุน ูŠูƒูˆู†ูˆุง ู…ุงู„ู‡ู…ุŸ ุจูŠุณุชุฎุฏู…ูˆุง
775
+
776
+ 229
777
+ 00:19:11,480 --> 00:19:18,260
778
+ ุงู„ูŠุฏ ุงู„ูŠุณุฑู‰ ู…ู† ุงู„ู€ female ูˆู‡ู†ุง ุทู„ุนูˆุง 21.6 ู…ุด ู‡ูŠูƒุŸ
779
+
780
+ 230
781
+ 00:19:18,260 --> 00:19:22,220
782
+ ุงู„ู„ูŠ ุฃู†ุง ุชูˆู‚ุนุชูู‡ ุงู„ู€ left ุทุจ ูˆุงู„ู€ right ุงูŠุด ู‡ูŠูƒูˆู†
783
+
784
+ 231
785
+ 00:19:22,220 --> 00:19:30,140
786
+ ุงู„ู…ูƒู…ู„ ู„ู‡ุง ู…ุธุจูˆุทุŸ ุฃูˆ ุจุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ 12% overall
787
+
788
+ 232
789
+ 00:19:30,140 --> 00:19:35,180
790
+ ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ูŠุณุฑู‰ุŒ ุงูŠุด ุจุชูˆู‚ุน ุงู„ูŠู…ู†ู‰ุŸ 88 ุฎู„ุงุตุŒ ุงุถุฑุจ ุงู„ู€
791
+
792
+ 233
793
+ 00:19:35,180 --> 00:19:42,980
794
+ 88 ููŠ ุงู„ู€ 120 ุจูŠุนุทูŠูƒ 105.6 ุฃูˆ ุงุทุฑุญ 120 ู†ู‚ุต 14.4 ุฅุฐุง
795
+
796
+ 234
797
+ 00:19:42,980 --> 00:19:51,760
798
+ ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุทู„ุน ู…ู† ูˆูŠู†ุŸ 120 minus 14.4 ุทูŠุจ ุงู„ู„ูŠ
799
+
800
+ 235
801
+ 00:19:51,760 --> 00:19:56,700
802
+ ุจุนุฏู‡ุŸ ุทู„ุน 21.6 expected frequency ู„ู„ู€ 100 ุงู„ู„ูŠ
803
+
804
+ 236
805
+ 00:19:56,700 --> 00:20:00,400
806
+ ุจุชุณุชุฎุฏู… ุงู„ู€ leftุŒ ุงู„ู„ูŠ ุจุชุณุชุฎุฏู… ุงู„ู€ right ุงู„ุจุงู‚ูŠุŒ ู…ุด
807
+
808
+ 237
809
+ 00:20:00,400 --> 00:20:03,440
810
+ ู‡ูŠูƒุŸ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ุญูƒูŠุช ุซู„ุงุซูŠู† ู†ุฌุญูˆุง ู…ู†ูƒ ูˆุนุฏุฏูƒู…
811
+
812
+ 238
813
+ 00:20:03,440 --> 00:20:08,920
814
+ ุฎู…ุณูŠู†ุŒ ุงูŠุด ุจุชุจู‚ู‰ ู…ุด ู†ุงุฌุญุŸ ุนุดุฑูŠู†ุŒ ุงู„ู€ tackle ุชุจุนุชู‡ู…ุŒ
815
+
816
+ 239
817
+ 00:20:08,920 --> 00:20:14,320
818
+ ูู‚ุงู„ 180 minus 21.6 ุจูŠุญุทูŠู†ูŠ 158.4 ู‡ุฏูˆู„ ุงู„ู„ูŠ ุฃู†ุง
819
+
820
+ 240
821
+ 00:20:14,320 --> 00:20:19,700
822
+ ู…ุนู„ู…ู‡ู… ุจุงู„ุฃุณูˆุฏุŒ ู†ุณู…ูŠู‡ู… expected frequency ุฅุฐุง ููŠ
823
+
824
+ 241
825
+ 00:20:19,700 --> 00:20:26,220
826
+ ุนู†ุฏูŠ observed ูˆููŠ expectedุŒ ูƒู„ ุญุฃุนู…ู„ู‡ ุญุฃุญุณุจ ุงู„ู€ chi
827
+
828
+ 242
829
+ 00:20:26,220 --> 00:20:26,900
830
+ -square value
831
+
832
+ 243
833
+ 00:20:34,080 --> 00:20:37,440
834
+ ู„ุญุธุฉุŒ summation ู„ู€ all cells ุจุงุฎุฏ ูƒู„ cell ู…ู† ุงู„ู€
835
+
836
+ 244
837
+ 00:20:37,440 --> 00:20:45,180
838
+ table ูุงู„ู€ chi-square ุงู„ู€ stat ุญุชุณุงูˆูŠ ุฃูˆู„
839
+
840
+ 245
841
+ 00:20:45,180 --> 00:20:51,760
842
+ ูˆุงุญุฏุฉ 12 ู‡ุฐุง ุงู„ู€ observed ู…ุด ู‡ูŠูƒุŸ ุงูŠุด ุงู„ู€ expected ู„ู‡ุงุŸ
843
+
844
+ 246
845
+ 00:20:51,760 --> 00:20:59,060
846
+ 14.4 squared ุนู„ู‰
847
+
848
+ 247
849
+ 00:20:59,060 --> 00:21:05,050
850
+ ู†ูุณ ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ู€ first cellุŒ second cell ู…ุงุฐุง
851
+
852
+ 248
853
+ 00:21:05,050 --> 00:21:11,030
854
+ ูŠุชุณุงูˆูŠุŸ 108 - 105ยฒ
855
+
856
+ 249
857
+ 00:21:11,030 --> 00:21:15,370
858
+ ุนู„ู‰
859
+
860
+ 250
861
+ 00:21:15,370 --> 00:21:21,750
862
+ 105 ุฒูŠ ู…ุง ุนู…ู„ุช ุงู„ู€ second cell ุจุนู…ู„ ู„ู…ู†ุŸ ู„ู„ุจุงู‚ูŠุฉ 24
863
+
864
+ 251
865
+ 00:21:21,750 --> 00:21:25,710
866
+ - 21.6
867
+
868
+ 252
869
+ 00:21:25,710 --> 00:21:31,270
870
+ plus
871
+
872
+ 253
873
+ 00:21:31,270 --> 00:21:33,130
874
+ the last one 156
875
+
876
+ 254
877
+ 00:21:41,160 --> 00:21:47,380
878
+ - 158.4 ู…ุฑุฉ ุซุงู†ูŠุฉ ุจุญุณุจ ุงู„ู€ overall proportion X1 plus
879
+
880
+ 255
881
+ 00:21:47,380 --> 00:21:52,240
882
+ X2 ุนู„ู‰ N1 plus N2 ุฃู†ุง ู…ู‡ุชู… ุจุงู„ู€ left handed ุจุงู„ุชุงู„ูŠ
883
+
884
+ 256
885
+ 00:21:52,240 --> 00:21:58,440
886
+ 12 plus 24 ู‡ุฐูˆู„ ุงู„ู…ุฌู…ูˆุน ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู… ูŠุฏ ุงู„ูŠุณุฑู‰ ููŠ ูƒู„
887
+
888
+ 257
889
+ 00:21:58,440 --> 00:22:01,480
890
+ ุงู„ู€ sample divide by ุงู„ู€ total ุชุจุน ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ
891
+
892
+ 258
893
+ 00:22:01,480 --> 00:22:10,370
894
+ 300 ุทู„ุน 12%ุŒ ุจูŠุทู„ุน ู†ุณุจุฉ ุงู„ุงู†ุงุซ ูˆุงู„ุฐูƒูˆุฑ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…
895
+
896
+ 259
897
+ 00:22:10,370 --> 00:22:14,770
898
+ ุงู„ูŠุฏ ูŠูˆุตู„ ู„ 12%ุŒ ุทุจ ู…ุด ุจุชูˆู‚ุน ูŠูƒูˆู† left ููŠ ุงู„ู€ fifth
899
+
900
+ 260
901
+ 00:22:14,770 --> 00:22:21,590
902
+ male ู‡ู… 120 ุนุฏุฏู‡ู… 120ุŒ ู…ุด ู‡ูŠูƒุŸ ุงู„ุนุงู… 12% ู…ู† ุงู„ู€ 120
903
+
904
+ 261
905
+ 00:22:21,590 --> 00:22:28,150
906
+ ุจูŠุทู„ุน 14.4%ุŒ ูˆู„ู„ู€ male ู†ูุณ ุงู„ุดูŠุก 180 ููŠ 12 ุจูŠุทู„ุน 21
907
+
908
+ 262
909
+ 00:22:28,150 --> 00:22:32,910
910
+ .6%ุŒ ูˆุทู„ุนู†ุง ุงู„ู€ complement ุทู„ุนุช ู„ู„ู€ right handers
911
+
912
+ 263
913
+ 00:22:34,520 --> 00:22:37,620
914
+ ุจุนุฏูŠู† ุทุจู‚ุช ุงู„ู‚ุงู†ูˆู† ุนู†ุฏูƒ if observed minus if
915
+
916
+ 264
917
+ 00:22:37,620 --> 00:22:43,140
918
+ expected squared ุนู„ู‰ ุงู„ู€ if expected ุจุฌู…ุน ู‡ุฏูˆู„ ุงู„ุฌูˆุงุจ
919
+
920
+ 265
921
+ 00:22:43,140 --> 00:22:52,580
922
+ ุจูŠุทู„ุน 0.7576 ู‡ุฐุง ุงู„ู€ value of
923
+
924
+ 266
925
+ 00:22:52,580 --> 00:22:58,740
926
+ the chi-square statisticุŒ ุงู„ู€ critical value ุทู„ุนู†ุงู‡ุง
927
+
928
+ 267
929
+ 00:22:58,740 --> 00:23:03,020
930
+ ู…ู† ุดูˆูŠุฉุŒ ู„ูˆ alpha 5% one degrees of
931
+
932
+ 268
933
+ 00:23:03,020 --> 00:23:10,970
934
+ freedom 3.84% ูƒู‚ูŠู…ุฉ ุนุงู…ุฉ ู†ู‚ู„ู†ุง ุงู„ู€ hypothesis ุงู„ุชุงู„ูŠุฉ ุฅุฐุง
935
+
936
+ 269
937
+ 00:23:10,970 --> 00:23:17,450
938
+ ูƒุงู†ุช ู‚ูŠู…ุฉ ุงู„ุจูŠุงู†ุงุช ุฃูƒุซุฑ ู…ู† 3.84%ุŒ ู‡ู„ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
939
+
940
+ 270
941
+ 00:23:17,450 --> 00:23:23,690
942
+ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุญุฑุฌุฉ ุฃูˆ ุงู„ู…ู†ุทู‚ุฉ ุบูŠุฑ ุงู„ุญุฑุฌุฉุŸ ู‡ุฐู‡
943
+
944
+ 271
945
+ 00:23:23,690 --> 00:23:29,920
946
+ ุงู„ู‚ูŠู…ุฉ ุชุณู‚ุท ููŠ ุงู„ู…ู†ุทู‚ุฉ ุบูŠุฑ ุงู„ุญุฑุฌุฉ ูˆู‡ู†ุง ุงู„ู€ chi-square
947
+
948
+ 272
949
+ 00:23:29,920 --> 00:23:35,680
950
+ ุงู„ู€ statistic 0.7576 ุฃู‚ู„ ู…ู† ุงู„ู€ chi-square ุงู„ุฃู„ูุงุŒ ู„ุฐุง
951
+
952
+ 273
953
+ 00:23:35,680 --> 00:23:40,100
954
+ ู‚ุฑุงุฑูŠ ู‡ูˆ ู„ุง ุชุฑูุถ ุงู„ู€ hypothesisุŒ ุจุฑูุถ ุณูุฑูŠุฉ
955
+
956
+ 274
957
+ 00:23:40,100 --> 00:23:46,340
958
+ ุงู„ุตูุฑูŠุฉ. ุงูŠุด ุงู„ู€ conclusionุŸ ู„ุง ูŠูˆุฌุฏ ุฏู„ูŠู„ ูƒุงููŠ ู„ุฃู†
959
+
960
+ 275
961
+ 00:23:46,340 --> 00:23:51,480
962
+ ุงู„ุงุซู†ูŠู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุฎุชู„ูุฉุŒ ู…ุง ุนู†ุฏู†ุง
963
+
964
+ 276
965
+ 00:23:51,480 --> 00:23:56,170
966
+ ู…ุนุทูŠุงุช ุชุซุจุช ุฃู†ู‡ู… ุจูŠุณุงูˆูˆุง ุจุนุถ ู…ุน ูƒุฏู‡ ู…ุงููŠุด significant difference
967
+
968
+ 277
969
+ 00:23:56,170 --> 00:24:03,110
970
+ between males and females who used left hand ๏ฟฝ๏ฟฝุฐุง
971
+
972
+ 278
973
+ 00:24:03,110 --> 00:24:06,970
974
+ ุงู„ุณุคุงู„ ู…ู…ูƒู† ู†ุญู„ู‡ ุนู„ู‰ ุดุจุทุฉ ุงู„ุนุดุฑุฉ ูˆู‡ูŠุนุทูŠูƒ ุงู„ู€ same
975
+
976
+ 279
977
+ 00:24:06,970 --> 00:24:12,570
978
+ result ููŠ
979
+
980
+ 280
981
+ 00:24:12,570 --> 00:24:15,790
982
+ ุฃูŠ ุณุคุงู„ุŸ
983
+
984
+ 281
985
+ 00:24:15,790 --> 00:24:22,370
986
+ ุทูŠุจ ู†ูุชุญ ุงู„ู€ practice ุนู„ู‰ ุดุจุทุฉ
987
+
988
+ 282
989
+ 00:24:26,660 --> 00:24:41,320
990
+ ุดุจุทุฉ ุงู„ู€ 11 ุดูˆูŠุฉ ุดูˆูŠุฉุŒ ู…ุณุงุก ุทู„ุน
991
+
992
+ 283
993
+ 00:24:41,320 --> 00:24:42,360
994
+ ุนู„ู‰ 11ุŒ 9
995
+
996
+ 284
997
+ 00:25:12,230 --> 00:25:13,990
998
+ ุงู„ู€ tables ุงู„ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง
999
+
1000
+ 285
1001
+ 00:25:27,680 --> 00:25:38,360
1002
+ ููŠ ุนู†ุฏูŠ 41ุŒ 61ุŒ 109ุŒ 89 ูˆุทุงู„ุจ
1003
+
1004
+ 286
1005
+ 00:25:38,360 --> 00:25:46,680
1006
+ ุงู„ู€ test ูƒุงูŠุŒ ุจุญุณุจ ุงู„ู€ test ุนุดุงู† ุฃูˆู„ ุฎุทูˆุฉ ุฃุนู…ู„ู‡ุง ุฃุทู„ุน
1007
+
1008
+ 287
1009
+ 00:25:46,680 --> 00:25:52,160
1010
+ ุงู„ู€ B-ุŒ ุฃู†ุง ุจุญุงูˆู„ ุจุณ ุฃุนูŠุฏ ู†ูุณ ุงู„ู€ example ุงู„ู„ูŠ ูุงุช
1011
+
1012
+ 288
1013
+ 00:25:52,160 --> 00:25:57,360
1014
+ ุฃุชุฃูƒุฏ ุฃู† ุงู„ู€ steps ู…ุนุฑูˆูุฉ ุจุงู„ู†ุณุจุฉ ู„ู†ุงุŒ ุจูŠุทู„ุน ุงู„ู€
1015
+
1016
+ 289
1017
+ 00:25:57,360 --> 00:26:07,060
1018
+ overall proportion ุงู„ู„ูŠ 41 plus 109ุŒ ู„ูˆ ุชู‚ุฑุฃ ุงู„ุณุคุงู„
1019
+
1020
+ 290
1021
+ 00:26:07,060 --> 00:26:09,140
1022
+ ู…ู† ุงู„ุฃูˆู„ุŒ ุฃู†ุง ู…ุง ุจุฏูŠุด ุฃุถูŠุน ูˆู‚ุช ููŠ ู‚ุฑุงุกุฉ ุงู„ุณุคุงู„ ู„ุฃู†
1023
+
1024
+ 291
1025
+ 00:26:09,140 --> 00:26:12,920
1026
+ ุฃู†ุง ุจุณ ุจุงุฎุฏ ุงู„ู€ example ู†ุนุฑู ูƒูŠู ู†ุญู„
1027
+
1028
+ 292
1029
+ 00:26:26,790 --> 00:26:29,410
1030
+ ุฅุฐุง ู†ูุชุฑุถ ู‡ุงูŠ ุงู„ู€ exam ุงู„ู„ูŠ ุนู†ุฏูŠ ู…ูˆุฌูˆุฏุŒ ุญุฏ ูŠู‚ุฑุฃ
1031
+
1032
+ 293
1033
+ 00:26:29,410 --> 00:26:36,530
1034
+ ู„ูŠู‡ุŸ ุญุฏ ูŠู‚ุฑุฃ ู„ูŠู‡ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุŸ
1035
+
1036
+ 294
1037
+ 00:26:36,530 --> 00:26:37,150
1038
+ advertisement
1039
+
1040
+ 295
1041
+ 00:26:47,340 --> 00:26:53,940
1042
+ ุงู„ุฏุฑุงุณุฉ ุชู… ุชุฌุฑูŠุจู‡ุง ู„ูุชุชุนุงู…ู„ ู…ุน ุฅุฐุง ูƒุงู†ุช ูˆุงุถุญุฉ ุฃู†
1043
+
1044
+ 296
1045
+ 00:26:53,940 --> 00:27:00,640
1046
+ ุงู„ู…ุดุงู‡ุฏูŠู† ูˆุงู„ู…ุดุงู‡ุฏุงุช ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ูƒุงู†ูˆุง
1047
+
1048
+ 297
1049
+ 00:27:00,640 --> 00:27:05,600
1050
+ ู…ุญุฏูˆุฏูŠู†ุŒ ูˆูƒุงู†ุช ูƒู„ู‡ุง ู…ุฌู…ูˆุนุฉ ู…ู† 300 ู…ุดุงู‡ุฏ ูˆู…ุดุงู‡ุฏุงุช
1051
+
1052
+ 298
1053
+ 00:27:05,600 --> 00:27:09,120
1054
+ ูˆุงู„ู…ุดุงู‡ุฏูŠู†
1055
+
1056
+ 299
1057
+ 00:27:09,120 --> 00:27:09,420
1058
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1059
+
1060
+ 300
1061
+ 00:27:09,420 --> 00:27:13,600
1062
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1063
+
1064
+ 301
1065
+ 00:27:13,600 --> 00:27:15,740
1066
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1067
+
1068
+ 302
1069
+ 00:27:15,740 --> 00:27:15,760
1070
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู†
1071
+
1072
+ 303
1073
+ 00:27:15,760 --> 00:27:17,160
1074
+ ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุงู„ู…ุดุงู‡ุฏูŠู† ุจุงู„ู†ุณุจุฉ ู„ู„ุฅู†ุณุงู†
1075
+
1076
+ 304
1077
+ 00:27:17,160 --> 00:27:24,440
1078
+ ุงู„ุฎุงุต ุจูƒ ูˆู…ุง ุฅุฐุง ู„ู… ุชูƒู† ู…ุณุชุฎุฏู…ู‹ุง ู„ุฅูŠู‚ุงู ุงู„ูˆุตูˆู„ ุฅู„ู‰
1079
+
1080
+ 305
1081
+ 00:27:24,440 --> 00:27:24,940
1082
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1083
+
1084
+ 306
1085
+ 00:27:24,940 --> 00:27:25,240
1086
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1087
+
1088
+ 307
1089
+ 00:27:25,240 --> 00:27:27,580
1090
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1091
+
1092
+ 308
1093
+ 00:27:27,580 --> 00:27:27,860
1094
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1095
+
1096
+ 309
1097
+ 00:27:27,860 --> 00:27:29,380
1098
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„
1099
+
1100
+ 310
1101
+ 00:27:29,380 --> 00:27:31,460
1102
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1103
+
1104
+ 311
1105
+ 00:27:31,460 --> 00:27:33,220
1106
+ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุตูˆู„ ุฅู„ู‰
1107
+
1108
+ 312
1109
+ 00:27:33,220 --> 00:27:41,900
1110
+ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุงู„ูˆุต
1111
+
1112
+ 313
1113
+ 00:27:45,380 --> 00:27:48,300
1114
+ ูˆุจุญูƒูŠ how can we calculate the test statistic ูƒูŠู
1115
+
1116
+ 314
1117
+ 00:27:48,300 --> 00:27:53,020
1118
+ ุชุญุณุจ ุงู„ู€ test statistic ู‡ูˆ ุจูŠุญูƒูŠ ููŠ ุงู„ุณุคุงู„ ุฃู†ู‡ู…
1119
+
1120
+ 315
1121
+ 00:27:53,020 --> 00:27:58,540
1122
+ independent ูˆู„ุง ู„ุงุŒ ุฃู…ุง ุจูŠุญูƒูŠ ููŠ ุงู„ู€ H0 ุงู„ู€ two
1123
+
1124
+ 316
1125
+ 00:27:58,540 --> 00:28:04,380
1126
+ variables are
1127
+
1128
+ 317
1129
+ 00:28:04,380 --> 00:28:08,960
1130
+ independent ุฃูˆ
1131
+
1132
+ 318
1133
+ 00:28:08,960 --> 00:28:14,000
1134
+ ุจูŠุญูƒูŠ ุงู„ู€ proportions are the same ุฅุฐุง ููŠ ุนู†ุฏ ุงู„ู€ male
1135
+
1136
+ 319
1137
+ 00:28:14,650 --> 00:28:18,170
1138
+ while female either identify or couldn't identify
1139
+
1140
+ 320
1141
+ 00:28:18,170 --> 00:28:29,850
1142
+ ูุงู„ู€ B ุฏูŠ in general ุงูŠุด ุญุชุณุงูˆูŠุŸ X1 plus ุงูŠุด
1143
+
1144
+ 321
1145
+ 00:28:29,850 --> 00:28:33,330
1146
+ ุฑุฃูŠูƒู…ุŸ plus one ูˆู„ุง one oh nine ูˆู„ุง plus sixty
1147
+
1148
+ 322
1149
+ 00:28:33,330 --> 00:28:44,510
1150
+ oneุŸ ุงูŠุด ุฑุฃูŠูƒู…ุŸ ูŠุนู†ูŠ ุนู…ู„ู‡ุง plus sixty one ูุจุชุทู„ุน
1151
+
1152
+ 323
1153
+ 00:28:44,510 --> 00:28:50,170
1154
+ ุงู„ุณุคุงู„ ุงูŠุด ุญูƒู‰ุŸ The term whether brand awareness
1155
+
1156
+ 324
1157
+ 00:28:50,170 --> 00:28:56,890
1158
+ of female TV viewers and gender ูˆุจุชุดูˆู ุนู„ุงู‚ุชู‡ุง ุฏู‡
1159
+
1160
+ 325
1161
+ 00:28:56,890 --> 00:29:05,970
1162
+ ู…ุน ุจุนุถู‡ุง ูˆู‚ุงู„ุช 41 plus 109 ุนู„ู‰ N1 plus N2 ูˆุงููŠุด
1163
+
1164
+ 326
1165
+ 00:29:05,970 --> 00:29:14,050
1166
+ ู…ุฌู…ูˆุน ุงู„ู€ identifiers ู‡ู†ุง 102ุŒ ูˆุงู„ู„ูŠ ุชุญุช 192ุŒ ู…ุฌู…ูˆุนุฉ
1167
+
1168
+ 327
1169
+ 00:29:14,050 --> 00:29:21,250
1170
+ ู…ุง ุฌุฏุฏูˆุด 300 ู…ุด ู…ุง ุทู„ุนูˆุง ู‡ูŠูƒุŸ 150
1171
+
1172
+ 328
1173
+ 00:29:21,250 --> 00:29:27,590
1174
+ ุนู„ู‰ 300ุŒ ุนู„ู‰ ู†ุต ู‡ุฏูˆู„
1175
+
1176
+ 329
1177
+ 00:29:27,590 --> 00:29:34,350
1178
+ ุงู„ู€ observedุŒ ุงู„ู€ expected ู‡ู†ุง 102ุŒ ู†ุตู‡ู… identifier
1179
+
1180
+ 330
1181
+ 00:29:34,350 --> 00:29:38,570
1182
+ ู…ุธุจูˆุทุŸ ู…ู† ุงู„ู€ male ู†ุต ู‡ุฏูˆู„ ู…ุง ุฌุฏุฏูˆุด
1183
+
1184
+ 331
1185
+ 00:29:41,780 --> 00:29:47,900
1186
+ ุงู„ู†ุต ุงู„ู€ 102ุŒ ู…ุดูƒู„ุฉ ู…ู†ู‡ุง 50% ููŠ ุนุฏุฏ ุงู„ู€ identifier 102
1187
+
1188
+ 332
1189
+ 00:29:47,900 --> 00:29:53,560
1190
+ ูˆุทู„ุน 51ุŒ ูˆุงู„ู„ูŠ ู‡ู†ุง ุงูŠุด ุจูŠูƒูˆู† ุจุฑุถู‡ุŸ 51ุŒ ุทูŠุจ ุงู„ู„ูŠ
1191
+
1192
+ 333
1193
+ 00:29:53,560 --> 00:30:01,640
1194
+ ุจุนุฏู‡ุŸ ุงู„ู†ุต ุงู„ู€ 192ุŒ 96ุŒ
1195
+
1196
+ 334
1197
+ 00:30:01,640 --> 00:30:09,780
1198
+ ุงูŠุด ุจุชูˆู‚ุน ู„ู‡ู…ุŸ 96ุŒ ู‡ูŠ ุทู„ุนุช ู†ุตุŒ ูุงู„ู†ุต ุณู‡ู„ุฉ ุทูŠุจ
1199
+
1200
+ 335
1201
+ 00:30:09,780 --> 00:30:21,470
1202
+ ุงุญุณุจ ุงู„ู€ chi-square ุงู„ู€ statistic ู…ุงุฐุง ุณุชุญุตู„ุŸ 41 - 51ยฒ ุนู„ู‰ 51
1203
+
1204
+ 336
1205
+ 00:30:21,470 --> 00:30:29,490
1206
+ plus 61 - 51ยฒ ุจูƒู…ู„ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
1207
+
1208
+ 337
1209
+ 00:30:46,200 --> 00:30:50,720
1210
+ ู…ุฌู…ูˆุน ู…ูŠู† ุงู„ู„ูŠ ุบู„ุทุŸ
1211
+
1212
+ 338
1213
+ 00:30:50,720 --> 00:30:57,120
1214
+ ุงู‡ ู‡ุฏูˆู„ ุฃู†ุง
1215
+
1216
+ 339
1217
+ 00:30:57,120 --> 00:31:02,480
1218
+ ู„ุง ุฃุฎุจุท ููŠ ู‡ุฏูˆู„ ุตุญุŸ ู‡ุฏูˆู„ ู„ู‚ูŠุช ู…ุฌู…ูˆุนู‡ู… 108ุŒ ู†ูุณู‹ุง ุฃู†ุง
1219
+
1220
+ 340
1221
+ 00:31:02,480 --> 00:31:12,470
1222
+ ุฃุตู„ู‹ุง 108 ู†ูุณู‹ุงุŒ ู†ูุณู‡ ู…ุง ุฌุฏุฏูˆุด 99ุŒ ุฅุฐุง
1223
+
1224
+ 341
1225
+ 00:31:12,470 --> 00:31:19,230
1226
+ ุจูŠุตูŠุฑ 109 - 99ุŒ 89
1227
+
1228
+ 342
1229
+ 00:31:19,230 --> 00:31:27,770
1230
+ - 99ุŒ ุชุนู…ู„
1231
+
1232
+ 343
1233
+ 00:31:27,770 --> 00:31:33,540
1234
+ ุงูŠู‡ ู„ูƒู„ cellุŒ ู‡ูˆ ุจูŠุทู„ุน ุงู„ุฌูˆุงุจุŒ ุงูŠุด ุงู„ุฌูˆุงุจ ููŠ ุงู„ูƒุชุงุจ
1235
+
1236
+ 344
1237
+ 00:31:33,540 --> 00:31:39,000
1238
+ ู…ูˆุฌูˆุฏุŸ ุจุชุญุณุจูŠู‡ุง ููŠ ุงู„ุจูŠุช ุจุฑุงุญุชูƒุŒ ุทุงู„ุน ุงู„ุฌูˆุงุจุŒ ุณุคุงู„
1239
+
1240
+ 345
1241
+ 00:31:39,000 --> 00:31:44,380
1242
+ 11ุŒ 9ุŒ ุฑู‚ู… 2ุŒ ุงูŠู‡ุŸ
1243
+
1244
+ 346
1245
+ 00:31:44,380 --> 00:31:52,660
1246
+ ุงุชุฃูƒุฏ ุฃู† ุงู„ุฌูˆุงุจ ุงูŠู‡ุŸ ุฅุฐุง ู…ุฑุฉ ุซุงู†ูŠุฉ ุจุญุณุจ ุงู„ู€ B'ุŒ 41
1247
+
1248
+ 347
1249
+ 00:31:52,660 --> 00:32:02,540
1250
+ plus 109 divide by 300ุŒ ุจูŠุทู„ุน 150 ุนู„ู‰ 300ุŒ ุจูŠุทู„ุน ู†ุตุŒ ุงู„ู†ุต
1251
+
1252
+ 348
1253
+ 00:32:02,540 --> 00:32:08,020
1254
+ ู‡ุฐู‡ ุจุถุฑุจู‡ุง ููŠ 102ุŒ ุจูŠุทู„ุน 51ุŒ ูˆู‡ู†ุง ุจูŠุทู„ุน 99ุŒ ุจุนุฏูŠู† ุนู…ู„ุช
1255
+
1256
+ 349
1257
+ 00:32:08,020 --> 00:32:13,360
1258
+ ู„ูƒู„ cell ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ูŠุŒ ุงู„ุณุคุงู„ 11ุŒ 9 ุงู„ุชุงุจุน ุงู„ุจุนุฏูŠ ู‡ูˆ
1259
+
1260
+ 350
1261
+ 00:32:13,360 --> 00:32:19,120
1262
+ 11ุŒ 11 ู„ุญุธุฉุŒ ู‡ุฐุง three by three ู…ุธุจูˆุทุŸ ู‡ุฐุง three rows
1263
+
1264
+ 351
1265
+ 00:32:19,120 --> 00:32:24,900
1266
+ ูˆthree columnsุŒ ู‡ุฐุง ู„ู„ู‚ุงุก ุงู„ุฌุงูŠุŒ ู‡ุฐุง
1267
+
1268
+ 352
1269
+ 00:32:24,900 --> 00:32:29,480
1270
+ ู„ู„ู„ู‚ุงุก ุงู„ุฌุงูŠุŒ ุทุงู„ุน ุงู„ุชุงุจุน ุงู„ู„ูŠ ุจุนุฏู‡ุŒ ุงูŠุด ู†ุณู…ูŠู‡ุŸ
1271
+
1272
+ 353
1273
+ 00:32:29,480 --> 00:32:33,240
1274
+ ุจุฑุถู‡ three by threeุŒ ู…ุด ู‡ูŠูƒุŸ three rows, three
1275
+
1276
+ 354
1277
+ 00:32:33,240 --> 00:32:39,860
1278
+ columns ู„ู„ู‚ุงุก ุงู„ู‚ุงุฏู… ุจูŠู…ูƒู†ูƒ
1279
+
1280
+ 355
1281
+ 00:32:39,860 --> 00:32:46,260
1282
+ ููŠ ุงู„ุจูŠุช ุชุญู„ 11 ุชุณุนุฉุŒ ุงู†ุช ูƒู…ู„ู‡ุŒ ูุจุญูƒูŠ at five
1283
+
1284
+ 356
1285
+ 00:32:46,260 --> 00:32:48,780
1286
+ percent level of significance ุงูŠุด ุงู„ู€ critical
1287
+
1288
+ 357
1289
+ 00:32:48,780 --> 00:32:57,090
1290
+ valueุŸ ุงู„ู„ูŠ ุชูˆุญู„ู†ุงู‡ุง ู…ุธุจูˆุทุŸ ุงู„ู€ degrees of freedom
1291
+
1292
+ 358
1293
+ 00:32:57,090 --> 00:33:03,490
1294
+ ูˆุงุญุฏุŒ ุทุจ ูŠุนู†ูŠ ุงู„ู€ value ุทู„ุนุช ุญูƒูŠู†ุง five point
1295
+
1296
+ 359
1297
+ 00:33:03,490 --> 00:33:11,610
1298
+ something ู…ุด ู‡ูŠูƒุŸ ุญูƒูŠู†ุง ุงู„ุฌูˆุงุจ 5.94
1299
+
1300
+ 360
1301
+ 00:33:11,610 --> 00:33:20,110
1302
+ 18ุŒ ุฅุฐุง
1303
+
1304
+ 361
1305
+ 00:33:20,110 --> 00:33:24,150
1306
+ ุงู†ุช 3.84ุŒ ูˆุจุณุชุฎุฏู… ุงู„ุณุคุงู„ ุงู„ู„ูŠ
1307
+
1308
+ 362
1309
+ 00:33:24,150 --> 00:33:24,550
1310
+ ุจุนุฏู‡
1311
+
1312
+ 363
1313
+ 00:33:29,390 --> 00:33:33,910
1314
+ ูŠุฌุจ ุฃู† ุชูƒูˆู†ูŠ ู…ุชุฃูƒุฏุฉ ุฃู† ุงู„ุชุทุจูŠู‚ุงุช ุงู„ู…ุชูˆู‚ุนุฉ ุชูƒูˆู†
1315
+
1316
+ 364
1317
+ 00:33:33,910 --> 00:33:39,090
1318
+ ุตุบูŠุฑุฉ ุฌุฏู‹ุงุŒ ูˆูŠู…ูƒู†ู†ุง ุฃู† ู†ุชุฌู‡ ุฅู„ู‰ ุทูŠุจ ูƒุจูŠุฑุŒ ุทูŠุจ 1R
1319
+
1320
+ 365
1321
+ 00:33:39,090 --> 00:33:49,910
1322
+ ู…ุงุฐุง ุชุฑู‰ุŸ ู‡ู„ ุจุญูƒูŠ reject ูˆู„ุง ู„ุงุŸ
1323
+
1324
+ 366
1325
+ 00:33:49,910 --> 00:33:52,950
1326
+ ุงู„ุณุคุงู„
1327
+
1328
+ 367
1329
+ 00:33:52,950 --> 00:33:53,290
1330
+ ุงู„ุฐูŠ ุจุนุฏู‡
1331
+
1332
+ 368
1333
+ 00:33:59,870 --> 00:34:02,510
1334
+ ุนู†ุฏ ุงุณุชุฎุฏุงู… ุงู„ู€ chi-square test ู„ุฅุฎุชุจุงุฑ ุงู„ุฅู†ุชู‚ุงู„ ูŠุฌุจ
1335
+
1336
+ 369
1337
+ 00:34:02,510 --> 00:34:05,510
1338
+ ุฃู† ุชูƒูˆู† ุนู„ู‰ ุฏุฑุงูŠุฉ ุฃู† ุชุฌุงุฑุจ ุงู„ุชูุงุตูŠู„ ุงู„ุชูŠ ูƒุงู†ุช ุฃูƒุซุฑ
1339
+
1340
+ 370
1341
+ 00:34:05,510 --> 00:34:12,190
1342
+ ุตุบูŠุฑุฉ ุณุชุชุณุจุจ ููŠ ุฃุฎุทุงุก ูƒุจูŠุฑุฉ ู„ู€ Type IุŒ ู„ู…ุง ุงู„ูุฑูˆู‚ุงุช
1343
+
1344
+ 371
1345
+ 00:34:12,190 --> 00:34:16,110
1346
+ ุชูƒูˆู† ุตุบูŠุฑุฉ ุชุทู„ุน
1347
+
1348
+ 372
1349
+ 00:34:16,110 --> 00:34:21,310
1350
+ ุงู„ู€ chi-square ุตุบูŠุฑุฉ ูˆู„ุง ูƒุจูŠุฑุฉุŸ ู„ู…ุง ุงู„ูุฑู‚ ุจูŠู†
1351
+
1352
+ 373
1353
+ 00:34:21,310 --> 00:34:27,270
1354
+ ุงู„ู€ observed ุงู„ูุฑู‚ ุงู„ู„ูŠ ุจูŠู†ู‡ู… ูŠูƒูˆู† ุตุบูŠุฑุŒ ุตุบูŠุฑ ุชุทู„ุน
1355
+
1356
+ 374
1357
+ 00:34:27,270 --> 00:34:35,560
1358
+ ุงู„ู€ chi-square ู…ุงู„ู‡ุงุŸ ุงู„ู€ smallุŒ ู…ุด ู‡ูŠูƒุŸ ุชุจู‚ู‰ ุจุชูƒูˆู† Kยฒ
1359
+
1360
+ 375
1361
+ 00:34:35,560 --> 00:34:40,000
1362
+ ุตุบูŠุฑุฉุŒ ุงู„ู€ P value ุจุชูƒุจุฑ ูˆู„ุง ุจุชุตุบุฑุŸ ุงู„ู€ probability
1363
+
1364
+ 376
1365
+ 00:34:40,000 --> 00:34:45,060
1366
+ ุงู„ู„ูŠ
1367
+
1368
+ 377
1369
+ 00:34:45,060 --> 00:34:48,360
1370
+ ุฃู†ุง ุฃูุชุฑุถ ุญุงุฌุฉ ุฒูŠ ูƒุฏู‡ุŒ ู„ูˆ ุจุฏูŠ ุฃุญุณุจ ุงู„ู€ P value ู„ู„ู€ test
1371
+
1372
+ 378
1373
+ 00:34:48,360 --> 00:34:53,200
1374
+ ุงู„ู„ูŠ ุนู†ุฏูŠุŒ ูƒูŠู ุฃุญุณุจ ุงู„ู€ P valueุŸ
1375
+
1376
+ 379
1377
+ 00:34:53,200 --> 00:34:58,600
1378
+ ู‡ุงูŠ ุงู„ู€ P value ุจุชุณุงูˆูŠุŒ Kยฒ ุฃูƒุจุฑ ู…ู† ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡
1379
+
1380
+ 380
1381
+ 00:35:02,400 --> 00:35:06,060
1382
+ ู…ุธุจูˆุทุŸ ุงู‡ ุจุงู„ุธุจุท ูƒู„ ู…ุง ุจุชูƒุจุฑ ุจุชู‚ู„ ุงู„ู€ level ู„ู…ุง
1383
+
1384
+ 381
1385
+ 00:35:06,060 --> 00:35:11,960
1386
+ ุจุฏุฎู„ ู„ุฌูˆู‡ุŒ ู…ุด ู‡ูŠูƒุŸ ุชุทู„ุน ุนู„ู‰ ุงู„ู€ table ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡
1387
+
1388
+ 382
1389
+ 00:35:11,960 --> 00:35:18,900
1390
+ ุชูˆู‡ุŒ ุจูŠู‡
1391
+
1392
+ 383
1393
+ 00:35:18,900 --> 00:35:26,700
1394
+ ุฃูƒุจุฑ ู…ู† 5.9ุŒ ุงู…ุดูŠ ุนู„ู‰ 5.9ุŒ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุชู‚ุฑูŠุจู‹ุง ู…ูˆุฌูˆุฏุฉ
1395
+
1396
+ 384
1397
+ 00:35:26,700 --> 00:35:31,620
1398
+ ุจูŠู† ุฅุซู†ุชูŠู† ู‡ุฐูˆู„ุŒ ู…ุด ู‡ูŠูƒุŸ 5.9 ู…ู‚ุงู„ ุจูŠู† ู‡ุฐูŠู† ุงู„ุนู…ูˆุฏูŠู†
1399
+
1400
+ 385
1401
+ 00:35:31,620 --> 00:35:36,660
1402
+ ุจุธุจุทุŒ ุจู†ุทู„ุน ุงู„ู€ P value ุฒูŠ ู…ุง ูƒู†ุง ู†ุทู„ุน ููŠ ุญุงู„ุฉ ุงู„ู€ T
1403
+
1404
+ 386
1405
+ 00:35:36,660 --> 00:35:40,920
1406
+ ูุจุงู„ุชุงู„ูŠ ุงู„ู€ P value ู…ุญุตูˆุฑุฉ ุจูŠู† ู…ูŠู† ูˆู…ูŠู†ุŸ ุจูŠู† ูˆุงุญุฏ ูˆ
1407
+
1408
+ 387
1409
+ 00:35:40,920 --> 00:35:47,640
1410
+ ุงุซู†ูŠู†ุŒ ูุชุทู„ุน ุงู„ู€ P value ุจูŠู† 1 ูˆ 2% ุทูŠุจ ุงู„ู€ P value
1411
+
1412
+ 388
1413
+ 00:35:47,640 --> 00:35:51,
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/qpdd751IW1I.srt ADDED
@@ -0,0 +1,1478 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,080 --> 00:00:25,700
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅุฐุง
4
+
5
+ 2
6
+ 00:00:25,700 --> 00:00:32,580
7
+ ูƒุงู† ุงู„ุชูˆุฒูŠุน
8
+
9
+ 3
10
+ 00:00:32,580 --> 00:00:35,040
11
+ ุทุจูŠุนูŠ
12
+
13
+ 4
14
+ 00:00:42,300 --> 00:00:46,240
15
+ ูˆSigma of X bar equal Sigma over square root of N
16
+
17
+ 5
18
+ 00:00:46,240 --> 00:00:57,920
19
+ ุงู„ุขู† ู…ุงุฐุง ุณูŠุญุฏุซ ุฅุฐุง ูƒุงู† ุงู„ู…ุฌุชู…ุน ุงู„ู…ุชุนุงู…ู„ ู„ูŠุณ ุทุจูŠุนูŠู‹ุงุŸ
20
+
21
+ 6
22
+ 00:00:57,920 --> 00:01:03,840
23
+ ุฅุฐุง ูƒุงู† ุงู„ู…ุฌุชู…ุน ู„ูŠุณ ุทุจูŠุนูŠู‹ุงุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฎุจุฑ ู…ุฌู…ูˆุนุฉ
24
+
25
+ 7
26
+ 00:01:03,840 --> 00:01:07,720
27
+ ุงู„ุฅู†ุชุงุฌ ุนู† ู…ุนู†ู‰ ุงู„ุฅู†ุชุงุฌ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŸ ูŠู…ูƒู†ู†ุง ุฃู†
28
+
29
+ 8
30
+ 00:01:07,720 --> 00:01:25,350
31
+ ู†ุทุจู‚ ุฃุญุฏ ุงู„ู†ุธุฑูŠุงุช ุงู„ู…ุนุฑูˆูุฉ ูˆู‡ูˆ ุงู„ู€ Central Limit
32
+
33
+ 9
34
+ 00:01:25,350 --> 00:01:29,510
35
+ TheoremุŒ ู†ุนุทูŠู‡ุง
36
+
37
+ 10
38
+ 00:01:29,510 --> 00:01:33,690
39
+ ุงุฎุชุตุงุฑู‹ุง CLTุŒ Central Limit Theorem
40
+
41
+ 11
42
+ 00:01:37,770 --> 00:01:40,250
43
+ ู…ุน ุฐู„ูƒุŒ ูƒู…ุง ุฐูƒุฑุชุŒ ุฅู†ู‡ุง ูˆุงุญุฏุฉ ู…ู† ุงู„ุฃุณุงุณูŠุงุช ุงู„ุนุงู…ุฉ ููŠ
44
+
45
+ 12
46
+ 00:01:40,250 --> 00:01:45,930
47
+ ุงู„ุจูŠุงู†ุงุช. ุฅู†ู‡ุง ุชู‚ูˆู„ ุฅู† ุญุชู‰ ุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู…ุฌุชู…ุน ุนุงู…ู‹ุงุŒ
48
+
49
+ 13
50
+ 00:01:45,930 --> 00:01:52,250
51
+ ูู†ุญู† ู†ุฑูƒุฒ ุนู„ู‰ ู…ุฌุชู…ุน ุบูŠุฑ ุนุงู…. ู„ุฐู„ูƒ ุฅุฐุง ุฃุชุช
52
+
53
+ 14
54
+ 00:01:52,250 --> 00:01:57,950
55
+ ุงู„ู…ุนู„ูˆู…ุงุช ู…ู† ู…ุฌุชู…ุน ุบูŠุฑ ุนุงู…ุŒ ููŠ ุงู„ุญู‚ูŠู‚ุฉ ุฃูƒุซุฑ ู…ู†
56
+
57
+ 15
58
+ 00:01:57,950 --> 00:02:05,060
59
+ ุงู„ูˆู‚ุช ู„ุง ูŠูˆุฌุฏ ู…ุฌุชู…ุน ุนุงู…. ู„ุฐู„ูƒุŒ ูƒูŠู ู†ู‚ูˆู„ ุงู„ู‚ุฑุงุฑุงุช ุญูˆู„
60
+
61
+ 16
62
+ 00:02:05,060 --> 00:02:07,740
63
+ ุงู„ู…ุนุงู…ู„ุงุช ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŸ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุณุชุฎุฏู… ุงู„ู€
64
+
65
+ 17
66
+ 00:02:07,740 --> 00:02:15,840
67
+ Central Limit TheoremุŒ ูŠู‚ูˆู„ ุฃู† ุงู„ู…ุนุงู…ู„ุงุช ู…ู† ุงู„ู…ุฌุชู…ุน
68
+
69
+ 18
70
+ 00:02:15,840 --> 00:02:22,380
71
+ ุณุชูƒูˆู† ุนุงู…ู„ุฉ ุชู‚ุฑูŠุจู‹ุงุŒ ูˆู„ูƒู† ู‡ู†ุง ู„ุฏูŠู†ุง ุญุงู„ุฉ ูู‚ุท ุฅุฐุง
72
+
73
+ 19
74
+ 00:02:22,380 --> 00:02:26,120
75
+ ูƒุงู†ุช ุงู„ู…ุนุงู…ู„ุฉ ูƒุงููŠุฉ
76
+
77
+ 20
78
+ 00:02:30,830 --> 00:02:37,170
79
+ ุณูŠูƒูˆู† ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
80
+
81
+ 21
82
+ 00:02:37,170 --> 00:02:43,470
83
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
84
+
85
+ 22
86
+ 00:02:43,470 --> 00:02:44,210
87
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
88
+
89
+ 23
90
+ 00:02:44,210 --> 00:02:44,250
91
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
92
+
93
+ 24
94
+ 00:02:44,250 --> 00:02:51,510
95
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
96
+
97
+ 25
98
+ 00:02:51,510 --> 00:02:57,510
99
+ ุนุงู…ุฉ
100
+
101
+ 26
102
+ 00:02:58,840 --> 00:03:03,160
103
+ ูŠุนู†ูŠ ูƒุฏู‡ ุฅูŠุด ุจูƒูˆู†ูŠ ูƒุจูŠุฑ ุฃุณุงุณ ุฃู‚ุฏุฑ ุฃุญูƒูŠ largeุŒ ูู‡ุฐุง
104
+
105
+ 27
106
+ 00:03:03,160 --> 00:03:06,200
107
+ ุฑุงุญ ู†ุฌุงูˆุจ ุนู„ูŠู‡ ุจุนุฏ ุดูˆูŠุฉุŒ how large is large enough
108
+
109
+ 28
110
+ 00:03:06,200 --> 00:03:14,340
111
+ how large is large enoughุŒ ุฅุฐุง
112
+
113
+ 29
114
+ 00:03:14,340 --> 00:03:19,660
115
+ ุงู„ู†ุธุฑูŠุฉ ุจุชุญูƒูŠ ุฃู† ุงู„ู€ sample means ุงู„ู„ูŠ ู„ูˆ ุตุงุฑุช
116
+
117
+ 30
118
+ 00:03:19,660 --> 00:03:23,670
119
+ ุงู„ุญุณุงุจูŠุฉ from the population ุบูŠุฑ ุงู„ู…ู‡ู… ุฅุฐุง ูƒุงู†ุช
120
+
121
+ 31
122
+ 00:03:23,670 --> 00:03:27,090
123
+ ุนุงุฏูŠุฉ ุฃูˆ ู„ุงุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุงุช
124
+
125
+ 32
126
+ 00:03:27,090 --> 00:03:31,470
127
+ ุบูŠุฑ ุนุงุฏูŠุฉุŒ ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉ ุณุชูƒูˆู† ุนุงุฏูŠุฉ
128
+
129
+ 33
130
+ 00:03:31,470 --> 00:03:36,910
131
+ ุชู‚ุฑูŠุจู‹ุงุŒ ูƒู…ุง ุฃู† N ูŠุตุจุญ ุฃูƒุซุฑ ูˆุฃูƒุซุฑ. ุฃูŠุถู‹ุงุŒ ููŠ ู‡ุฐู‡
132
+
133
+ 34
134
+ 00:03:36,910 --> 00:03:40,530
135
+ ุงู„ุญุงู„ุฉุŒ ู†ุณุชุทูŠุน ุชุทุจูŠู‚ ุงู„ู‚ูˆุงู†ูŠู† ุงู„ู„ุงุฒู…ุฉุŒ ูŠุนู†ูŠ Mean X
136
+
137
+ 35
138
+ 00:03:40,530 --> 00:03:46,230
139
+ bar ู…ุงุฒุงู„ MuุŒ ูˆSigma X bar ูŠู‚ูˆู… ุจุณูŠุฌู…ุน ุฃูƒุซุฑ ู…ู†
140
+
141
+ 36
142
+ 00:03:46,230 --> 00:03:46,970
143
+ ุฃูƒุซุฑ ู…ู† N
144
+
145
+ 37
146
+ 00:03:49,850 --> 00:03:53,250
147
+ ุงู„ุขู† ู„ุฏูŠู†ุง ุงุชุตุงู„ุงุช
148
+
149
+ 38
150
+ 00:03:53,250 --> 00:03:57,030
151
+ ุงุชุตุงู„ุงุช
152
+
153
+ 39
154
+ 00:03:57,030 --> 00:04:04,670
155
+ ุงุชุตุงู„ุงุช
156
+
157
+ 40
158
+ 00:04:04,670 --> 00:04:09,810
159
+ ุงุชุตุงู„ุงุช
160
+
161
+ 41
162
+ 00:04:09,810 --> 00:04:14,130
163
+ ุงุชุตุงู„ุงุช
164
+
165
+ 42
166
+ 00:04:15,470 --> 00:04:20,710
167
+ ูŠุตุจุญ ุฃูƒุซุฑ ูˆุฃูƒุซุฑุŒ ุซู… ู†ุญู† ู„ุฏูŠู†ุง ุชู‚ุฑูŠุจู‹ุง
168
+
169
+ 43
170
+ 00:04:20,710 --> 00:04:23,850
171
+ ุชู‚ุฑูŠุจู‹ุง
172
+
173
+ 44
174
+ 00:04:23,850 --> 00:04:24,950
175
+ ุชู‚ุฑูŠุจู‹ุง
176
+
177
+ 45
178
+ 00:04:24,950 --> 00:04:25,070
179
+ ุชู‚ุฑูŠุจู‹ุง
180
+
181
+ 46
182
+ 00:04:25,070 --> 00:04:25,090
183
+ ุชู‚ุฑูŠุจู‹ุง
184
+
185
+ 47
186
+ 00:04:25,090 --> 00:04:26,230
187
+ ุชู‚ุฑูŠุจู‹ุง
188
+
189
+ 48
190
+ 00:04:26,230 --> 00:04:43,290
191
+ ุชู‚ุฑูŠุจู‹ุง
192
+
193
+ 49
194
+ 00:04:48,000 --> 00:04:57,580
195
+ with unknown populationุŒ ุจุฏุฃู†ุง ุจุชูˆุฒูŠุน ู…ุด ู…ุนุฑูˆูุŒ then
196
+
197
+ 50
198
+ 00:04:57,580 --> 00:05:01,100
199
+ in this case we can apply this theorem, the central
200
+
201
+ 51
202
+ 00:05:01,100 --> 00:05:04,360
203
+ limit theorem if the sample size is large enough
204
+
205
+ 52
206
+ 00:05:04,360 --> 00:05:11,480
207
+ So again the sampling properties we did before for
208
+
209
+ 53
210
+ 00:05:11,480 --> 00:05:13,640
211
+ the central tendency the mean of x bar equals mu
212
+
213
+ 54
214
+ 00:05:14,790 --> 00:05:17,470
215
+ ูˆู„ุฐู„ูƒ ุณูŠุฌู…ุน X barุŒ ุณูŠุฌู…ุน X barุŒ X bar
216
+
217
+ 55
218
+ 00:05:17,470 --> 00:05:18,130
219
+ X bar X bar X bar X bar X bar X bar
220
+
221
+ 56
222
+ 00:05:18,130 --> 00:05:27,410
223
+ X bar X bar X
224
+
225
+ 57
226
+ 00:05:27,410 --> 00:05:31,590
227
+ barุŒ parameter ู„ูŠุณ ุทุจูŠุนูŠุŒ ูˆู„ูƒู† ุฅุฐุง ูƒุงู† ุงู„ู€ N ูƒุจูŠุฑ ูƒูุงูŠุฉ
228
+
229
+ 58
230
+ 00:05:31,590 --> 00:05:32,930
231
+ ู„ุฏูŠู†ุง ุฃูƒุซุฑ
232
+
233
+ 59
234
+ 00:05:32,930 --> 00:05:34,830
235
+ ุฃูƒุซุฑ
236
+
237
+ 60
238
+ 00:05:34,830 --> 00:05:36,550
239
+ ุฃูƒุซุฑ
240
+
241
+ 61
242
+ 00:05:36,550 --> 00:05:41,090
243
+ ุฃูƒุซุฑ
244
+
245
+ 62
246
+ 00:05:41,090 --> 00:05:51,670
247
+ ุฃูƒุซุฑ
248
+
249
+ 63
250
+ 00:05:52,760 --> 00:05:55,800
251
+ ุจุงุณุชุฎุฏุงู… ุงู„ู€ central limit theoremุŒ ุจู‚ุฏุฑ ุฃุดุชุบู„ ุนู„ู‰
252
+
253
+ 64
254
+ 00:05:55,800 --> 00:05:58,540
255
+ ุงู„ุฌุฏุงูˆู„ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ุŒ ู„ุฐุง ูƒู„ ู‚ุตุชู†ุง ุงู„ูŠูˆู…
256
+
257
+ 65
258
+ 00:05:58,540 --> 00:06:03,820
259
+ ุดุบู„ุฉ ูˆุงุญุฏุฉ ุจุณ ุฃู† N ุชูƒูˆู† ู…ุงู„ู‡ุง ูƒุจูŠุฑุฉุŒ ุงู„ุขู† ุงุณู…ู‡ุง how
260
+
261
+ 66
262
+ 00:06:03,820 --> 00:06:10,800
263
+ large is large enoughุŒ ู‚ุฏุงุด N ุชูƒูˆู† ูƒุจูŠุฑุฉุŒ there are
264
+
265
+ 67
266
+ 00:06:10,800 --> 00:06:15,280
267
+ three scenariosุŒ the first one for most
268
+
269
+ 68
270
+ 00:06:15,280 --> 00:06:19,580
271
+ distributionsุŒ now we are looking for N when N is
272
+
273
+ 69
274
+ 00:06:19,580 --> 00:06:25,320
275
+ large enoughุŒ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ุฃูˆู„ ููŠ ู…ุนุธู… ุงู„ุชูˆุฒูŠุนุงุช ููŠ
276
+
277
+ 70
278
+ 00:06:25,320 --> 00:06:29,100
279
+ ุฃุนู„ู‰ ู…ู† 30ุŒ ููŠ ุฃุนู„ู‰ ู…ู† 30 ุณูŠุนุทูŠ Normal Distribution
280
+
281
+ 71
282
+ 00:06:29,100 --> 00:06:34,740
283
+ ูˆู‡ูˆ ุนุงู…ุฉ
284
+
285
+ 72
286
+ 00:06:34,740 --> 00:06:34,800
287
+ ุนุงู…ุฉ
288
+
289
+ 73
290
+ 00:06:34,800 --> 00:06:34,880
291
+ ุนุงู…ุฉ
292
+
293
+ 74
294
+ 00:06:34,880 --> 00:06:36,040
295
+ ุนุงู…ุฉ
296
+
297
+ 75
298
+ 00:06:36,040 --> 00:06:50,560
299
+ ุนุงู…ุฉ
300
+
301
+ 76
302
+ 00:06:54,080 --> 00:07:02,240
303
+ in should be greater than 30ุŒ number two for fairly
304
+
305
+ 77
306
+ 00:07:02,240 --> 00:07:08,720
307
+ symmetricุŒ ุฅูŠุด ูŠุนู†ูŠ fairly symmetricุŸ ูŠุนู†ูŠ ููŠ ุชู‚ุฑูŠุจู‹ุง
308
+
309
+ 78
310
+ 00:07:08,720 --> 00:07:14,360
311
+ ุชู…ุงุซู„ุŒ ู…ุด 100% ููŠ ุชู…ุงุซู„ุŒ N is large if N is above
312
+
313
+ 79
314
+ 00:07:14,360 --> 00:07:22,140
315
+ 15ุŒ if N is greater than 15ุŒ so we canุŒ ุงุณู…ุญูˆุง ู„ูŠ ุฃู† ุฅุฐุง
316
+
317
+ 80
318
+ 00:07:22,140 --> 00:07:26,440
319
+ N ุฃูƒุจุฑ ู…ู† 30 ููŠ ู…ุนุธู… ุงู„ู…ุดุงุฑูƒุงุช ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€
320
+
321
+ 81
322
+ 00:07:26,440 --> 00:07:29,740
323
+ Central Limit TheoremุŒ ูˆุจุนุฏ ุฐู„ูƒ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€
324
+
325
+ 82
326
+ 00:07:29,740 --> 00:07:36,320
327
+ Z-table ุงู„ู„ูŠ ูƒุงู† ู„ุฏูŠู†ุง ู‚ุจู„ู‡ุงุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุดุงุฑูƒุงุช
328
+
329
+ 83
330
+ 00:07:36,320 --> 00:07:40,660
331
+ ู…ุชุณุงูˆูŠุฉ ุจุดูƒู„ ูƒุงููŠ ูุฅู† N ูƒุจูŠุฑ ุฅุฐุง ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† 15ุŒ
332
+
333
+ 84
334
+ 00:07:40,660 --> 00:07:43,680
335
+ ุฑู‚ู…
336
+
337
+ 85
338
+ 00:07:43,680 --> 00:07:48,280
339
+ ุซู„ุงุซุฉุŒ ู„ู…ุดุงุฑูƒุฉ ู…ุฌุชู…ุน ุนุงู…ุŒ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ ู…ุดุงุฑูƒุฉ ุนุงู…ุฉ
340
+
341
+ 86
342
+ 00:07:51,350 --> 00:07:56,770
343
+ for normal population distributionุŒ
344
+
345
+ 87
346
+ 00:07:56,770 --> 00:08:02,570
347
+ the sampling distribution of the mean is always
348
+
349
+ 88
350
+ 00:08:02,570 --> 00:08:07,090
351
+ normalุŒ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุฃุตู„ ุฅูŠุด ููŠ ุนู†ุฏูŠุŸ ููŠ ุนู†ุฏูŠ normalุŒ
352
+
353
+ 89
354
+ 00:08:07,090 --> 00:08:10,850
355
+ ูุจุงู„ุชุงู„ูŠ ุงู„ู€ X bar ุจุฑุถู‡ ู‡ูŠูƒูˆู† ู„ู‡ุง normal ุฏุงุฆู…ุงู‹ ู…ุด
356
+
357
+ 90
358
+ 00:08:10,850 --> 00:08:16,050
359
+ approximatelyุŒ ุฅุฐุง for normal population X bar is
360
+
361
+ 91
362
+ 00:08:16,050 --> 00:08:16,610
363
+ always
364
+
365
+ 92
366
+ 00:08:19,750 --> 00:08:30,050
367
+ ุงู„ุชูˆุฒูŠุน X bar ู‡ูˆ ุฏุงุฆู…ุงู‹ ุทุจูŠุนูŠุŒ ุจุฏู„ุงู‹ ู…ู† NุŒ
368
+
369
+ 93
370
+ 00:08:30,050 --> 00:08:34,130
371
+ ูŠุนู†ูŠ ุฃูŠู‹ุง ูƒุงู†ุช N ุตุบูŠุฑุฉ ุฃูˆ ูƒุจูŠุฑุฉุŒ ูŠุนุชุจุฑ ุงู„ุชูˆุฒูŠุน
372
+
373
+ 94
374
+ 00:08:34,130 --> 00:08:38,730
375
+ ุฏุงุฆู…ุงู‹ ุทุจูŠุนูŠุŒ ุฅุฐุง ู„ูˆ ุฃู†ุง ุฎุงุช ู…ู† ุงู„ุทุจูŠุนูŠ ู…ุง ุนู†ุฏูŠ
376
+
377
+ 95
378
+ 00:08:38,730 --> 00:08:42,470
379
+ ู…ุดูƒู„ุฉุŒ ูŠุนู†ูŠ ู„ูˆ ุญูƒูŠุช ู„ูƒ for normal populationุŒ then
380
+
381
+ 96
382
+ 00:08:42,470 --> 00:08:47,050
383
+ forget about the sample sizeุŒ ูˆู„ูƒู† ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุณุฃู„ุฉ
384
+
385
+ 97
386
+ 00:08:47,050 --> 00:08:53,850
387
+ ู…ู† ู…ุฌู…ูˆุนุฉ ู…ุง ูˆู„ู… ู†ุฐูƒุฑ ุฃู†ู‡ุง ุนุงู…ุฉุŒ ููŠุฌุจ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰
388
+
389
+ 98
390
+ 00:08:53,850 --> 00:08:58,570
391
+ N. ููŠ ู…ุนุธู… ุงู„ู…ุดุงุฑูƒุงุช N ูƒุจูŠุฑ ุฅุฐุง ูƒุงู† N ุฃูƒุจุฑ ู…ู† 30.
392
+
393
+ 99
394
+ 00:08:59,290 --> 00:09:06,750
395
+ ู„ู€ Fairly Symmetric N ุฃูƒุจุฑ ู…ู† 15 ูŠูƒููŠุŒ ู„ุฏูŠู‡ุง
396
+
397
+ 100
398
+ 00:09:06,750 --> 00:09:11,230
399
+ ู…ุดุงุฑูƒุงุช ุนุงู…ุฉ. ุณุฃุนุทูŠูƒ ู…ุซุงู„ ูˆุงุญุฏ.
400
+
401
+ 101
402
+ 00:09:14,670 --> 00:09:23,170
403
+ suppose a population has a meanุŒ lookุŒ suppose a
404
+
405
+ 102
406
+ 00:09:23,170 --> 00:09:27,570
407
+ populationุŒ so in this case we don't mention the
408
+
409
+ 103
410
+ 00:09:27,570 --> 00:09:30,470
411
+ population is normalุŒ it says just suppose a
412
+
413
+ 104
414
+ 00:09:30,470 --> 00:09:35,010
415
+ populationุŒ ูˆุงุถุญุŸ ู…ุง ุญูƒูŠู†ุงู‡ุงุด normal populationุŒ ุงู„ู€ ุฅูŠู‡ุŸ
416
+
417
+ 105
418
+ 00:09:35,010 --> 00:09:38,010
419
+ ู…ุด ู…ุนู†ุงู‡ ุฅูŠู‡ุŸ ู„ู…ุง ุชูƒูˆู† ููŠ ุนู†ุฏูƒ ุดุบู„ ุฒูŠูƒุŒ ุฅูŠุด ูŠุนู†ูŠ
420
+
421
+ 106
422
+ 00:09:38,010 --> 00:09:41,810
423
+ ุงู„ู€ populationุŸ ู„ู…ุง ุจุญูƒูŠ ููŠ suppose a population
424
+
425
+ 107
426
+ 00:09:43,250 --> 00:09:46,190
427
+ ู…ุฌู‡ูˆู„ุŒ ู†ูƒุฑุฉุŒ ุงู„ู€ a ู†ูƒุฑุฉุŒ ู…ุด ู…ุนุฑูˆูุŒ ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ู…ุด
428
+
429
+ 108
430
+ 00:09:46,190 --> 00:09:51,850
431
+ ู…ุนุฑูˆูุŒ ูŠุนู†ูŠ unknown population with mean mu equals
432
+
433
+ 109
434
+ 00:09:51,850 --> 00:09:56,570
435
+ eightุŒ ุฅุฐุง
436
+
437
+ 110
438
+ 00:09:56,570 --> 00:10:00,650
439
+ ููŠ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุนู†ุฏูŠ ุงู„ู€ mu equals eight and we
440
+
441
+ 111
442
+ 00:10:00,650 --> 00:10:05,410
443
+ have unknown populationุŒ the question does not say
444
+
445
+ 112
446
+ 00:10:05,410 --> 00:10:09,230
447
+ we have or suppose we have normal populationุŒ it
448
+
449
+ 113
450
+ 00:10:09,230 --> 00:10:12,770
451
+ says just suppose a population has a mean of eight
452
+
453
+ 114
454
+ 00:10:15,360 --> 00:10:21,820
455
+ ูˆุงู„ู†ุณุจุฉ ู„ู„ุนูŠู†ุฉุŒ ุณูŠุฌู…ุง ุฃูˆ ุซู„ุงุซุฉุŒ ุงุนุชู…ุฏ ุนู„ู‰ ุนูŠู†ุฉ
456
+
457
+ 115
458
+ 00:10:21,820 --> 00:10:31,540
459
+ ุนุดูˆุงุฆูŠุฉ 36ุŒ ุนู…ู„ุงุช ุนูŠู†ุฉ 36 ู…ุฎุชู„ูุฉุŒ ุณุฃุนุทูŠูƒ ุจุนุถ ุงู„ุฃุณุฆู„ุฉ
460
+
461
+ 116
462
+ 00:10:31,540 --> 00:10:36,200
463
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ูƒุชุงุจ ููŠ ู‡ุฐู‡ ุงู„ุตูุญุฉุŒ ุชู‚ูˆู„ ู…ุง ู‡ูŠ
464
+
465
+ 117
466
+ 00:10:36,200 --> 00:10:38,280
467
+ ู…ุนุฑูˆูุฉุŒ ุนู…ู„ูŠุฉ
468
+
469
+ 118
470
+ 00:10:43,490 --> 00:10:50,630
471
+ ู„ุฐู„ูƒุŒ ู†ุจุญุซ ุนู† 7.8 ูˆ 8
472
+
473
+ 119
474
+ 00:10:50,630 --> 00:10:54,590
475
+ .2 ุงู„ุขู†ุŒ
476
+
477
+ 120
478
+ 00:10:54,590 --> 00:10:58,150
479
+ ู„ุชุทุจูŠู‚ ู‡ุฐุง ุงู„ู†ุธุฑูŠุฉุŒ ุฃุนู†ูŠ ุงู„ู†ุธุฑูŠุฉ ุงู„ู…ุฑูƒุฒูŠุฉุŒ ุงู„ู†ุธุฑูŠุฉ
480
+
481
+ 121
482
+ 00:10:58,150 --> 00:11:02,410
483
+ ุงู„ู…ุฑูƒุฒูŠุฉุŒ ูŠุฌุจ ุฃู† ู†ุชุญู‚ู‚ ู…ู† ุญุฌู… ุงู„ุนูŠู†ุฉุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
484
+
485
+ 122
486
+ 00:11:02,410 --> 00:11:09,630
487
+ ุญุฌู… ุงู„ุนูŠู†ุฉ 36ุŒ ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ู…ุนุธู… ุงู„ุชุทุจูŠู‚ุงุชุŒ N is
488
+
489
+ 123
490
+ 00:11:09,630 --> 00:11:13,090
491
+ large enough if N is above 30ุŒ So in this case, we
492
+
493
+ 124
494
+ 00:11:13,090 --> 00:11:17,150
495
+ can apply the central limit theoremุŒ ูˆุงุถุญุŒ 36 ูƒุจูŠุฑุฉุŒ
496
+
497
+ 125
498
+ 00:11:17,150 --> 00:11:23,530
499
+ ูู…ู…ูƒู† ุฃุณุชุฎุฏู… ุงู„ู†ุธุฑูŠุฉ ูˆุฃุดุชุบู„ ุนู„ู‰ ุทูˆู„ุŒ So even if the
500
+
501
+ 126
502
+ 00:11:23,530 --> 00:11:26,030
503
+ population is not normally distributedุŒ the
504
+
505
+ 127
506
+ 00:11:26,030 --> 00:11:29,290
507
+ central limit theorem can be usedุŒ ุงู„ุณุจุจ N is
508
+
509
+ 128
510
+ 00:11:29,290 --> 00:11:33,230
511
+ greater than 30ุŒ So the standard distribution of X
512
+
513
+ 129
514
+ 00:11:33,230 --> 00:11:38,390
515
+ bar is approximately normalุŒ ูˆุงุถุญุŸ ุทุงู„ู…ุง ุฃู† ูŠุนู†ูŠ ูƒู„
516
+
517
+ 130
518
+ 00:11:38,390 --> 00:11:43,930
519
+ ุญูƒุงูŠุฉ N greater than 30ุŒ ุซู… ู†ุณุชุทูŠุน ุชุทุจูŠู‚ ุงู„ู€
520
+
521
+ 131
522
+ 00:11:43,930 --> 00:11:47,210
523
+ central
524
+
525
+ 132
526
+ 00:11:47,210 --> 00:11:53,330
527
+ limit theoremุŒ ุงู„ู€ mean of x bar ู‡ูˆ ุฏุงุฆู…ุงู‹ ูŠุณุงูˆูŠ Mu
528
+
529
+ 133
530
+ 00:11:53,330 --> 00:11:58,050
531
+ ุงู„ู„ูŠ ู‡ูˆ 8ุŒ ูˆSigma of x bar Sigma over square root
532
+
533
+ 134
534
+ 00:11:58,050 --> 00:12:02,070
535
+ of NุŒ Sigma 3ุŒ square root of 36
536
+
537
+ 135
538
+ 00:12:07,360 --> 00:12:14,880
539
+ 3 ุนู„ู‰ 6 ู‡ูˆ ู†ุตูุŒ ูˆุงุญุฏุŒ ุงู„ุขู† ู†ุจุญุซ ุนู† ู…ุฑุฉ ุฃุฎุฑู‰ X bar
540
+
541
+ 136
542
+ 00:12:14,880 --> 00:12:25,920
543
+ ุจูŠู† 7.8 ูˆ8.2ุŒ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ุฃุชุฑุฌุญ ู…ู† ุฌุฏูˆู„ ZุŒ ููŠ ุฌุฏูˆู„ Z
544
+
545
+ 137
546
+ 00:12:25,920 --> 00:12:30,980
547
+ ู†ุญู† ูู‚ุท ู†ุทุจู‚ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชูŠ ูุนู„ู†ุงู‡ุง ุณุงุจู‚ุงู‹ุŒ ู…ุฑุฉ Z
548
+
549
+ 138
550
+ 00:12:30,980 --> 00:12:31,820
551
+ equals X bar
552
+
553
+ 139
554
+ 00:12:35,710 --> 00:12:43,790
555
+ Sigma over square root of NุŒ ุฅุฐุง
556
+
557
+ 140
558
+ 00:12:43,790 --> 00:12:46,930
559
+ ู‡ุฃุทุจู‚ ุงู„ู€ Z-score ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ X bar minus ุงู„ู€ Mean ุชุจุน
560
+
561
+ 141
562
+ 00:12:46,930 --> 00:12:50,990
563
+ ุงู„ู€ X bar ุนู„ู‰ ุณูŠุฌู…ุน ุงู„ู€ X barุŒ ุฃู†ุง ุทู„ุนุช ุฅู† ุงู„ู€ X bar
564
+
565
+ 142
566
+ 00:12:50,990 --> 00:12:57,070
567
+ equals 8 ูˆSigma X bar equals one halfุŒ 7.8ุŒ this is
568
+
569
+ 143
570
+ 00:12:57,070 --> 00:13:05,570
571
+ my X bar minus Mu over Sigma of X barุŒ ุฃู‚ู„ ู…ู†
572
+
573
+ 144
574
+ 00:13:05,570 --> 00:13:06,530
575
+ ุฃู‚ู„ ู…ู†
576
+
577
+ 145
578
+ 00:13:06,530 --> 00:13:10,030
579
+ ุฃู‚ู„ ู…ู†
580
+
581
+ 146
582
+ 00:13:10,030 --> 00:13:12,870
583
+ ุฃู‚ู„ ู…ู†
584
+
585
+ 147
586
+ 00:13:12,870 --> 00:13:15,790
587
+ ุฃู‚ู„ ู…ู†
588
+
589
+ 148
590
+ 00:13:15,790 --> 00:13:16,150
591
+ ุฃู‚ู„ ู…ู†
592
+
593
+ 149
594
+ 00:13:16,150 --> 00:13:16,550
595
+ ุฃู‚ู„ ู…ู†
596
+
597
+ 150
598
+ 00:13:16,550 --> 00:13:22,170
599
+ ุฃู‚ู„ ู…ู†
600
+
601
+ 151
602
+ 00:13:22,170 --> 00:13:33,990
603
+ ุฃู‚ู„ ู…ู†
604
+
605
+ 152
606
+ 00:13:34,030 --> 00:13:41,230
607
+ ุณู†ุฎุชุงุฑ ุนูŠู†ุฉ ุนุดูˆุงุฆูŠุฉ 36 ู…ู† ู…ุฌุชู…ุน ุบูŠุฑ ู…ุนุฑูˆูุŒ ู‡ุฐู‡
608
+
609
+ 153
610
+ 00:13:41,230 --> 00:13:50,050
611
+ ุงู„ู…ุฌู…ูˆุนุฉ ู„ุฏูŠู‡ุง ู…ุนุฏู„ 8ุŒ ูˆู†ุญู† ู…ู‡ุชู…ูˆู† ุจุงู„ูุฑู‚ ุจูŠู† 7.8
612
+
613
+ 154
614
+ 00:13:50,050 --> 00:13:55,610
615
+ ูˆ8.2 ู„ู€ X barุŒ ูู‡ุฐุง ูƒู„ ุดูŠุก ููŠ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉุŒ ุจุนุฏ ุฐู„ูƒ ูŠุฌุจ
616
+
617
+ 155
618
+ 00:13:55,610 --> 00:13:59,390
619
+ ุฃู† ู†ู‚ูˆู… ุจุชู‚ุฑูŠุฑ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู„ุญุตูˆู„ ุนู„ู‰ Z-scoreุŒ ู„ุฐู„ูƒ
620
+
621
+ 156
622
+ 00:13:59,390 --> 00:14:07,690
623
+ ุจุฏุฃู†ุง ู‡ู†ุง ู…ู† XุŒ X ู‡ูˆ ุฃูŠ ู…ุฌุชู…ุนุŒ ุฃู†ุง ู…ู‡ุชู… ุจุงู„ู€ X-barุŒ
624
+
625
+ 157
626
+ 00:14:07,690 --> 00:14:14,490
627
+ ุฃุนู…ู„ convert ู„ู‡ ุฅู„ู‰ ุงู„ู‚ุฑุงุฑ Z-scoreุŒ ู‡ุงูŠ ุงู„ู€ Z-score ุนู†ุฏูŠ
628
+
629
+ 158
630
+ 00:14:14,490 --> 00:14:18,490
631
+ ู…ูˆุฌูˆุฏ 7.8 minus 8 over one halfุŒ negative point
632
+
633
+ 159
634
+ 00:14:18,490 --> 00:14:27,420
635
+ fourุŒ ุฃูŠุถู‹ุง 8.2ุŒ ู…ู† 8.2 ุนู„ู‰ 1.5ุŒ ุฃูƒุซุฑ ู…ู† 4.4ุŒ ู„ุฐู„ูƒ
636
+
637
+ 160
638
+ 00:14:27,420 --> 00:14:35,300
639
+ ุงู„ุขู† ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉุŒ ู„ุฐู„ูƒ ุจู…ุฌุฑุฏ ุฃู† ูŠูƒูˆู† X
640
+
641
+ 161
642
+ 00:14:35,300 --> 00:14:42,020
643
+ bar ุจูŠู† 7.8 ูˆ8.2ุŒ ู„ุฏูŠู†ุง Z ุจูŠู† ู†ู‚ุงุท 4.4 ูˆู†ู‚ุงุท 4.4
644
+
645
+ 162
646
+ 00:14:42,020 --> 00:14:48,130
647
+ ุŒ ู„ุฐู„ูƒ ู†ุจุญุซ ุนู† ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ ููŠ ุงู„ูˆุงู‚ุน ู„ู€ Z-score
648
+
649
+ 163
650
+ 00:14:48,130 --> 00:14:52,050
651
+ ู‡ูŠ ู†ูุณ ุงู„ู…ู†ุทู‚ุฉ ุจูŠู† ู‡ุงุชูŠู† ุงู„ู‚ูŠู…ุชูŠู† ู„ู€ X barุŒ ูˆู„ูƒู†
652
+
653
+ 164
654
+ 00:14:52,050 --> 00:14:56,950
655
+ ุงู„ุฌุฏูˆู„ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ูู‚ุท ู„ู€ ZุŒ ู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐ๏ฟฝ๏ฟฝ
656
+
657
+ 165
658
+ 00:14:56,950 --> 00:15:04,550
659
+ ุงู„ู…ู†ุทู‚ุฉ ุจูŠู† ู†ู‚ู„ 0.4 ูˆ 4.4ุŒ ุฅู„ู‰ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉุŒ ู‡ุฐุง Chapter
660
+
661
+ 166
662
+ 00:15:04,550 --> 00:15:10,190
663
+ 7 ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ุงู„ูŠูˆู…ุŒ ุงู„ู„ูŠ ุฃู†ุง ุงู„ู„ูŠ ุจู‚ุนุฏ ููŠู‡ ุจุฏู‡ ูŠุญุณุจ ุงู„ู€
664
+
665
+ 167
666
+ 00:15:10,190 --> 00:15:13,870
667
+ probability ุงู„ู„ูŠ ู‡ู†ุงุŒ ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ู‡ู†ุง ููŠ Chapter sixุŒ
668
+
669
+ 168
670
+ 00:15:13,870 --> 00:15:17,490
671
+ ุฏุงุฆู…ุงู‹ ู‡ูŠูƒูˆู† ุดุบู„ู†ุง ุฒูŠ ู‡ูŠูƒุŒ ุจู†ุงุฎุฏ ุดุบู„ ููŠ Chapter
672
+
673
+ 169
674
+ 00:15:17,490 --> 00:15:22,790
675
+ ุงู„ุฌุฏูŠุฏุŒ ู†ูุชุฑุถ Chapter ุชุณุนุฉ ูˆุจุนุฏูŠู† ุงู„ุชูƒู…ู„ุฉ ู‡ุชูƒูˆู† ููŠ
676
+
677
+ 170
678
+ 00:15:22,790 --> 00:15:25,330
679
+ ุงู„ู€ chapters ุงู„ู„ูŠ ูุงุชุชุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ุฌุงูŠู‡
680
+
681
+ 171
682
+ 00:15:25,330 --> 00:15:31,190
683
+ ูŠูƒูˆู† Chapter ุซู…ุงู†ูŠุฉุŒ ู†ูุชุฑุถ ุชูƒู…ู„ุฉ ุณุจุนุฉ ุฃูˆ ุชูƒู…ู„ุฉ ุณุชุฉุŒ
684
+
685
+ 172
686
+ 00:15:31,190 --> 00:15:34,790
687
+ ูุจุงู„ุชุงู„ูŠ ู‡ูŠ series ู…ุน ุจุนุถุŒ ูŠุนู†ูŠ ู„ุงุฒู… ุฃุณุชูˆุนุจ ุงู„ุณุช
688
+
689
+ 173
690
+ 00:15:34,790 --> 00:15:38,870
691
+ ุงู„ุฃูˆู„ ุนุดุงู† ุฃูู‡ู… ุงู„ุณุจุนุฉุŒ ูˆุนุดุงู† ุฃูู‡ู… ู…ุง ุชุจู‚ู‰ ู„ุงุฒู…
692
+
693
+ 174
694
+ 00:15:38,870 --> 00:15:44,980
695
+ ุฃุนุฑู ู…ุง ุณุจู‚ ุณุจุนุฉ ุฃูˆ ุณุชุฉุŒ ูˆู‡ูƒุฐุงุŒ ุนู†ูˆุงู† P of Z
696
+
697
+ 175
698
+ 00:15:44,980 --> 00:15:52,360
699
+ between negative point four and plus fourุŒ ู†ู‚ุงุท
700
+
701
+ 176
702
+ 00:15:52,360 --> 00:15:55,480
703
+ ู†ู‚ุงุท
704
+
705
+ 177
706
+ 00:15:55,480 --> 00:15:56,200
707
+ ู†ู‚ุงุท
708
+
709
+ 178
710
+ 00:15:56,200 --> 00:15:56,320
711
+ ู†ู‚ุงุท
712
+
713
+ 179
714
+ 00:15:56,320 --> 00:15:56,380
715
+ ู†ู‚ุงุท
716
+
717
+ 180
718
+ 00:15:56,380 --> 00:15:57,080
719
+ ู†ู‚ุงุท
720
+
721
+ 181
722
+ 00:15:57,080 --> 00:15:58,680
723
+ ู†ู‚ุงุท
724
+
725
+ 182
726
+ 00:15:58,680 --> 00:16:11,920
727
+ ู†ู‚ุงุท
728
+
729
+ 183
730
+ 00:16:13,350 --> 00:16:18,130
731
+ ูƒูŠู ุทู„ุนุชูˆู‡ุง ู‚ุจู„ ู‡ูŠูƒุŸ
732
+
733
+ 184
734
+ 00:16:18,130 --> 00:16:23,130
735
+ ุทูŠุจุŒ ูˆุงุญุฏ ู‡ุชุทู„ุน ู…ู† ุงู„ู…ุนุงุฏู„ุฉุŒ ุฃู†ุง ุงู„ูƒู„ูˆู†ุฉ ุฃู†ุง ู…ุด ู‡ุดุฑุญู‡
736
+
737
+ 185
738
+ 00:16:23,130 --> 00:16:25,770
739
+ ู…ุฑุชูŠู† ูˆุนุดุฑุฉุŒ ู…ุด .. ุญุชู‰ ุฅุจุง ุฃู†ุง ุจุดุฑุญ ู„ุฃู† ุฃู†ุช ุฃุฎุฐุชู‡
740
+
741
+ 186
742
+ 00:16:25,770 --> 00:16:31,010
743
+ ู‚ุจู„ ู‡ูŠูƒุŒ ู‡ุฃูุชุญ ู„ูƒ
744
+
745
+ 187
746
+ 00:16:31,010 --> 00:16:35,310
747
+ ุงู„ู€ Z table ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ู…ุนู†ุงุŸ
748
+
749
+ 188
750
+ 00:17:05,820 --> 00:17:08,600
751
+ ุฅุฐุงู‹ ุงู„ู€ area between negative point four and plus
752
+
753
+ 189
754
+ 00:17:08,600 --> 00:17:11,820
755
+ fourุŒ ู‡ุฐู‡ ูƒู„ู‡ุงุŒ minus ู‡ุฐู‡ ุจุงู„ุถุจุท ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ area to
756
+
757
+ 190
758
+ 00:17:11,820 --> 00:17:14,760
759
+ the left of point four minus the area to the left
760
+
761
+ 191
762
+ 00:17:14,760 --> 00:17:18
763
+
764
+ 216
765
+ 00:19:38,590 --> 00:19:41,670
766
+ ุงู„ู„ุญุธุฉ
767
+
768
+ 217
769
+ 00:19:41,670 --> 00:19:48,710
770
+ ุงู„ area to the left ุงู„ area ุงู„ู„ูŠ ู‡ู†ุง point six ุงู„
771
+
772
+ 218
773
+ 00:19:48,710 --> 00:19:52,910
774
+ area ุงู„ู„ูŠ ู‡ู†ุง to the left ูƒู„ ุงู„ area ู‡ุฐู‡ ุทู„ุนุช
775
+
776
+ 219
777
+ 00:19:52,910 --> 00:19:59,590
778
+ ุชุณุงูˆูŠ point six five five four ู†ุงู‚ุต ู‡ุฐู‡
779
+
780
+ 220
781
+ 00:19:59,590 --> 00:20:05,330
782
+ ู…ุด ู‡ุชุทู„ุนูŠู‡ุง ู…ู† ุงู„ุฌุฏูˆู„ ู‡ุชุทู„ุนูŠู‡ุง ู…ุจุงุดุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ู†ูุณ
783
+
784
+ 221
785
+ 00:20:05,330 --> 00:20:09,330
786
+ ุงู„ู„ูŠ ู‡ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุธุจูˆุท ุฒูŠู‡ุง ู†ูุณ ุงู„ .. ุจุณ ุงู„ู‚ูŠู…ุฉ
787
+
788
+ 222
789
+ 00:20:09,330 --> 00:20:13,870
790
+ ู…ุฎุชู„ูุฉ ุจุงู„ุธุจุท
791
+
792
+ 223
793
+ 00:20:24,940 --> 00:20:28,420
794
+ ู…ู…ุชุงุฒุŒ ู‡ูŠูƒ ุงู„ุตูˆุฑุฉ ูˆุงุถุญุฉ ุงู„ู€ less than negative
795
+
796
+ 224
797
+ 00:20:28,420 --> 00:20:38,040
798
+ point four ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุง ุฅุฐุง
799
+
800
+ 225
801
+ 00:20:38,040 --> 00:20:42,820
802
+ ุงู„ area to the left of negative point four ู‡ูŠ ู†ูุณ
803
+
804
+ 226
805
+ 00:20:42,820 --> 00:20:47,200
806
+ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ right ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุณุงุญุฉ to the
807
+
808
+ 227
809
+ 00:20:47,200 --> 00:20:50,720
810
+ right side ุงู„ู€ right ู…ุด ู…ูˆุฌูˆุฏ ุนู†ุฏ ุงู„ู€ right ู…ูˆุฌูˆุฏ
811
+
812
+ 228
813
+ 00:20:50,720 --> 00:20:54,360
814
+ ุนู†ุฏ ุงู„ู€ left ู greater than ุนุจุงุฑุฉ ุนู† ุฅูŠุด one minus
815
+
816
+ 229
817
+ 00:20:54,360 --> 00:20:57,920
818
+ p of z less than point four ุฃูˆ ู…ู…ูƒู† ุฃู†ุง ุจุฏู„ ู…ูƒุชูˆุจ
819
+
820
+ 230
821
+ 00:20:57,920 --> 00:21:03,020
822
+ ูˆ ุฃุชุนุจ ูƒู„ ุฎุทูˆุงุช ุฏูˆู„ ุทุงู„ู…ุง one minus ูŠุนู†ูŠ ุนู„ู‰ ุทูˆู„
823
+
824
+ 231
825
+ 00:21:03,020 --> 00:21:08,160
826
+ automatic ู‡ุทู„ู‘ุนู‡ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง less than
827
+
828
+ 232
829
+ 00:21:08,160 --> 00:21:12,200
830
+ negative point four one minus ุงู„ู„ูŠ ุทู„ุนุช ู…ุนุงู‡ ุฎู„ุงุต
831
+
832
+ 233
833
+ 00:21:12,200 --> 00:21:13,380
834
+ ุจุฏู„ ู…ุง ุฃุนู…ู„ ุณุทุฑูŠู† ุฒูŠุงุฏุฉ
835
+
836
+ 234
837
+ 00:21:16,420 --> 00:21:22,060
838
+ ูˆุงุถุญ ุงู† ุฒู…ูŠู„ุชูŠ ูƒุงู…ู„ุฉ ูƒู„ุงู…ูƒ ุตุญ ุทู„ุนุช 0.6554 ุจุณ ุชุนุงู„ู‰
839
+
840
+ 235
841
+ 00:21:22,060 --> 00:21:28,080
842
+ ุดูˆูŠุฉ ุฏู‡ ู‡ูŠ ู†ุงู‚ุต ุงู„ negative 0.4 ุฒูŠ ุงู„ plus ุจุณ ุฅูŠุด
843
+
844
+ 236
845
+ 00:21:28,080 --> 00:21:39,460
846
+ one minus ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ ูƒู…ู†ุง ู†ุงู‚ุต
847
+
848
+ 237
849
+ 00:21:39,460 --> 00:21:43,020
850
+ three four four six
851
+
852
+ 238
853
+ 00:21:45,940 --> 00:21:49,040
854
+ ู„ุญุธุฉ ู„ุงู† ุงู„ุฌูˆุงุจ ุทู„ุนุช ูˆุฒู…ูŠู„ุชูƒ ู„ุฅู† ุฑูˆุญุช ุงู„ู€ negative
855
+
856
+ 239
857
+ 00:21:49,040 --> 00:21:54,920
858
+ ู„ูˆ ุญุจูŠุช ุฃุชุฃูƒุฏ ุทู„ุน ู‡ูŠ ุงู„ู€ negative 0.4 ุงู„ู„ูŠ ู‡ูŠ
859
+
860
+ 240
861
+ 00:21:54,920 --> 00:21:59,100
862
+ ุงู„ู‚ูŠู…ุฉ ุฏูŠ ุทู„ุนุช ุดูˆูŠุฉ ุจุณ ู‡ูŠ ุงู„ู€ negative 0.4 ุงู„ู„ูŠ ู‡ูŠ
863
+
864
+ 241
865
+ 00:21:59,100 --> 00:22:04,340
866
+ 0.3446 ูˆุงุถุญุŸ
867
+
868
+ 242
869
+ 00:22:04,340 --> 00:22:08,220
870
+ ุฅุฐุง ุจุทู„ู‘ุน ุงู„ positive ู„ูˆ ุนุงูŠุฒ ุงู„ negative one minus
871
+
872
+ 243
873
+ 00:22:09,170 --> 00:22:12,670
874
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ููŠ ุดุจุชุฑ 6 ุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุฃูˆุถุญ ู…ู†
875
+
876
+ 244
877
+ 00:22:12,670 --> 00:22:25,630
878
+ ู†ูุณูƒ ููŠู‡ ูุงู„ุฌูˆุงุจ ุจุทู„ุน 3108 point 3108 so
879
+
880
+ 245
881
+ 00:22:25,630 --> 00:22:30,870
882
+ again we have this probability between x bar
883
+
884
+ 246
885
+ 00:22:30,870 --> 00:22:36,250
886
+ between 7.8 and 8.2 you
887
+
888
+ 247
889
+ 00:22:36,250 --> 00:22:37,670
890
+ have to convert to this score
891
+
892
+ 248
893
+ 00:22:40,610 --> 00:22:44,330
894
+ ู„ุฐู„ูƒ ุจุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ x-mean over sigma over
895
+
896
+ 249
897
+ 00:22:44,330 --> 00:22:47,630
898
+ root n ูˆู†ู†ุชู‡ูŠ ุจz ุจูŠู† ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
899
+
900
+ 250
901
+ 00:22:47,630 --> 00:22:48,170
902
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
903
+
904
+ 251
905
+ 00:22:48,170 --> 00:22:57,510
906
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
907
+
908
+ 252
909
+ 00:23:08,860 --> 00:23:17,360
910
+ ู…ุซู„ู‹ุง ู†ุจุญุซ ุนู† ุจูŠูˆุจ ุงูƒุณุจุงุฑ ุฃูƒุจุฑ ู…ู† 10 ุฃูƒุจุฑ
911
+
912
+ 253
913
+ 00:23:17,360 --> 00:23:22,120
914
+ ู…ู† ุนุดุฑุฉ ู…ุฏู‘ูŠ
915
+
916
+ 254
917
+ 00:23:22,120 --> 00:23:23,640
918
+ ูˆุงุญุฏุฉ ุชุทู„ุน ุชุญู„ู‡ุง
919
+
920
+ 255
921
+ 00:23:32,420 --> 00:23:36,680
922
+ ุชุดูˆู ุฃูˆู„ ุญุงุฌุฉ ุนู…ู„ุช ุชุฒู…ูŠู„ุชูƒ ุนู…ู„ุช one minus ู„ุฃู† area
923
+
924
+ 256
925
+ 00:23:36,680 --> 00:23:46,740
926
+ to the right equals one minus area to the left ุฅูŠุด
927
+
928
+ 257
929
+ 00:23:46,740 --> 00:23:50,680
930
+ ุดุบุงู„ูŠู†ู‡ู…ุŸ
931
+
932
+ 258
933
+ 00:23:50,680 --> 00:23:58,440
934
+ ูƒูˆูŠุณ ุฎู„ูŠู†ูŠ
935
+
936
+ 259
937
+ 00:23:58,440 --> 00:24:04,030
938
+ ุฃูƒู…ู„ ู…ุนุงูƒ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ูˆ ุงุชุญูˆู„ ุงู„ X bar ู„ Z ูƒูˆูŠุณุŸ
939
+
940
+ 260
941
+ 00:24:04,030 --> 00:24:13,650
942
+ ูู‡ุฐู‡ ู‡ุชุณุงูˆูŠ ู‡ูŠ one minus ุจูŠ X bar ุชุตูŠุฑ Z ุฃู‚ู„ ู…ู† ู‡ูŠ
943
+
944
+ 261
945
+ 00:24:13,650 --> 00:24:19,710
946
+ ุงู„ X bar ุนุดุฑุฉ ู†ุงู‚ุต ูƒุงู…ู„ุฉ ู†ุงู‚ุต ุงู„ mean ู‡ูŠ ุงู„ mean
947
+
948
+ 262
949
+ 00:24:19,710 --> 00:24:23,990
950
+ eight ูˆ sigma X bar one half
951
+
952
+ 263
953
+ 00:24:28,240 --> 00:24:37,740
954
+ ุจุชุทู„ุน one minus ุจูŠูˆู ุฒูŠ less than four ุฅู„ู‰
955
+
956
+ 264
957
+ 00:24:37,740 --> 00:24:41,920
958
+ ู…ู† ุบูŠุฑ ุงู„ table ุฒูŠ ุฃู‚ู„ ู…ู† ุฃุฑุจุนุฉ ู…ุด ุจุชุณุงูˆูŠ ุจูŠูˆู ุฒูŠ
959
+
960
+ 265
961
+ 00:24:41,920 --> 00:24:47,940
962
+ less than four this
963
+
964
+ 266
965
+ 00:24:47,940 --> 00:24:54,740
966
+ is
967
+
968
+ 267
969
+ 00:24:54,740 --> 00:25:08,980
970
+ fourso the area to the left of four ู…ุด ุจุชุณุงูˆูŠ ูƒู„ู‡ุง
971
+
972
+ 268
973
+ 00:25:08,980 --> 00:25:14,140
974
+ ุฏูŠ zero ุทูŠุจ
975
+
976
+ 269
977
+ 00:25:14,140 --> 00:25:18,800
978
+ ุทุงู„ู…ุง ุนู„ู‰ ุงู„ table ุงู„ table ุงู„ู…ุนู†ู‰ ุจุชุชุฐูƒุฑ ูŠุง ุฃุฎูˆ
979
+
980
+ 270
981
+ 00:25:18,800 --> 00:25:23,140
982
+ ุงู„ู…ุฑุฉ ุญูƒูŠู†ุง ุนู† ุงู„ table ู„ุบุงูŠุฉ
983
+
984
+ 271
985
+ 00:25:23,140 --> 00:25:29,560
986
+ ู„ุบุงูŠุฉ three point four ูˆ ุชุญุช ุงู„ุชุณุนุฉ ุงู„ุฌูˆุงุจ 9998 ูŠุนู†ูŠ
987
+
988
+ 272
989
+ 00:25:29,560 --> 00:25:37,120
990
+ ู„ุบุงูŠุฉ ู‡ู†ุง 3.49 ุงู„ area to the left 9998
991
+
992
+ 273
993
+ 00:25:37,120 --> 00:25:41,940
994
+ ุฃู†ุง ู…ุด ุนุงูŠุฒ 3.49 ุฃูƒุจุฑ ูƒู…ุงู† ุฑูˆุญุช ุดูˆูŠุฉ ุนู„ูŠ ุงู„ูŠู…ูŠู†
995
+
996
+ 274
997
+ 00:25:41,940 --> 00:25:47,320
998
+ approximately ูˆุงุญุฏ ุฅุฐุง ู‡ุงูŠ ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„
999
+
1000
+ 275
1001
+ 00:25:47,320 --> 00:25:54,240
1002
+ ู‡ู†ุง ู†ุงู‚ุต ูˆุงุญุฏ ูุงู„ุฌูˆุงุจ ูŠุณุชุฎุฏู… ุชู‚ุฑูŠุจุง zero ุฅุฐุง ู„ู…ุง
1003
+
1004
+ 276
1005
+ 00:25:54,240 --> 00:26:00,300
1006
+ ุฃูƒูˆู† ุนู†ุฏูŠ z value is not listed positive
1007
+
1008
+ 277
1009
+ 00:26:00,300 --> 00:26:04,060
1010
+ not listed means one I mean greater than point
1011
+
1012
+ 278
1013
+ 00:26:04,060 --> 00:26:09,340
1014
+ four negative is not listed zero so the
1015
+
1016
+ 279
1017
+ 00:26:09,340 --> 00:26:17,960
1018
+ probability equals in this case zero one
1019
+
1020
+ 280
1021
+ 00:26:17,960 --> 00:26:28,460
1022
+ more b of x bar less than ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ 5 ุงุญุชู…ุงู„
1023
+
1024
+ 281
1025
+ 00:26:28,460 --> 00:26:34,140
1026
+ X bar ุฃู‚ู„ ู…ู† ุฎู…ุณุฉ ุฃุฎุฏ ุฃูˆู„ ูˆุงุญุฏุฉ ุจูŠู† two values
1027
+
1028
+ 282
1029
+ 00:26:34,140 --> 00:26:38,360
1030
+ number two X bar greater than ten now number three
1031
+
1032
+ 283
1033
+ 00:26:38,360 --> 00:26:43,040
1034
+ X bar less than five what's probability of X bar
1035
+
1036
+ 284
1037
+ 00:26:43,040 --> 00:26:44,240
1038
+ less than five
1039
+
1040
+ 285
1041
+ 00:26:56,490 --> 00:27:05,810
1042
+ ู†ุงู‚ุต eight ุนู„ู‰ one half ุฒูŠ less than negative six
1043
+
1044
+ 286
1045
+ 00:27:05,810 --> 00:27:13,110
1046
+ ู„ุญุธุฉ
1047
+
1048
+ 287
1049
+ 00:27:13,110 --> 00:27:17,610
1050
+ negative six again ุงู„ุดุฎุต ุงู„ู„ูŠ ู„ุฏูŠู‡ ููŠ ุงู„ู…ุทุงู„ุจ ู‡ูˆ
1051
+
1052
+ 288
1053
+ 00:27:17,610 --> 00:27:24,370
1054
+ ุณุงู„ุจ 3.4 ุฃุณูู„ 9 ูˆู‡ูˆ 0002 ุฅุฐุง
1055
+
1056
+ 289
1057
+ 00:27:24,370 --> 00:27:26,970
1058
+ ุงู„ู„ูŠ ุจุชุทู„ุน ุฃู‚ู„ ู…ู† ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ
1059
+
1060
+ 290
1061
+ 00:27:26,970 --> 00:27:31,450
1062
+ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ
1063
+
1064
+ 291
1065
+ 00:27:31,450 --> 00:27:32,970
1066
+ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ
1067
+
1068
+ 292
1069
+ 00:27:32,970 --> 00:27:37,290
1070
+ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ
1071
+
1072
+ 293
1073
+ 00:27:37,290 --> 00:27:37,790
1074
+ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ
1075
+
1076
+ 294
1077
+ 00:27:37,790 --> 00:27:37,970
1078
+ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ
1079
+
1080
+ 295
1081
+ 00:27:37,970 --> 00:27:43,690
1082
+ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ ุณุงู„ุจ
1083
+
1084
+ 296
1085
+ 00:27:43,690 --> 00:27:50,260
1086
+ ุณุงู„ุจ ู„ูƒู†ู†ุง ู†ุจุญุซ ุนู† ุงู„ู€ -6ุŒ ู„ุฐู„ูƒ ุงู„ู€ -6 ููŠ ู‡ุฐู‡
1087
+
1088
+ 297
1089
+ 00:27:50,260 --> 00:27:55,100
1090
+ ุงู„ุทุฑูŠู‚ุฉุŒ ู„ุฐู„ูƒ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‚ุฑูŠุจุฉ ุฌุฏู‹ุง ู…ู† ุฃู† ุชูƒูˆู†
1091
+
1092
+ 298
1093
+ 00:27:55,100 --> 00:28:08,960
1094
+ ุตูุฑู‹ุงุŒ ูุฅู†ู†ุง
1095
+
1096
+ 299
1097
+ 00:28:08,960 --> 00:28:11,380
1098
+ ู†ุจุญุซ ุนู† ุงู„ุงูƒุชุดุงู ุฃูƒุจุฑ ู…ู† 5
1099
+
1100
+ 300
1101
+ 00:28:14,750 --> 00:28:21,110
1102
+ x bar ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ู…ุด ุงู„ุฌูˆุงุจ ูˆุงุญุฏ ู„ุฃูŠ one minus b
1103
+
1104
+ 301
1105
+ 00:28:21,110 --> 00:28:26,390
1106
+ of x bar less than five one minus zero is one
1107
+
1108
+ 302
1109
+ 00:28:49,230 --> 00:28:56,290
1110
+ ู…ุงู‡ูˆ ู‚ูŠู…ุฉ aุŸ ุฅูŠุด ู‚ูŠู…ุฉ ุงู„ู€ aุŸ ู„ุฅู† ู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ูŠู‚ู„
1111
+
1112
+ 303
1113
+ 00:28:56,290 --> 00:29:02,910
1114
+ 0.65 ุฅู„ู‰ ุงู„ุนูƒุณ ุงู„ู€ B ู…ูุนุฑูˆู ูˆู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐุง
1115
+
1116
+ 304
1117
+ 00:29:02,910 --> 00:29:09,090
1118
+ ุงู„ู‚ูŠู…ุฉ A ูƒูŠู ุฃุทู„ุน ุงู„ู€ AุŸ ุนู…ู„ูŠุฉ ุนูƒุณูŠุฉ ุงู„ุฃูˆู„
1119
+
1120
+ 305
1121
+ 00:29:09,090 --> 00:29:14,410
1122
+ ุงู„ูˆุงู‚ุนูŠุฉ ูƒุงู†ุช ุบูŠุฑ ู…ุนุฑูˆูุฉ ูˆู†ุฌุฏ ุงู„ูˆุงู‚ุนูŠุฉ ูˆ X bar
1123
+
1124
+ 306
1125
+ 00:29:14,410 --> 00:29:19,670
1126
+ ูƒุงู†ุช ู…ูุนุฑูˆูุฉ ุฅูƒุณ ุจุงุฑ ู„ูŠุณ ู…ูุนุฑูˆูู‹ุงุŒ A ุบูŠุฑ ู…ุนุฑูˆูู‹ุงุŒ
1127
+
1128
+ 307
1129
+ 00:29:19,670 --> 00:29:24,850
1130
+ ูˆู‡ุฐู‡ ุงู„ู…ุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ AุŸ
1131
+
1132
+ 308
1133
+ 00:29:24,850 --> 00:29:34,490
1134
+ ุจู…ุนู†ู‰ ุฐู„ูƒุŒ ุฃุฌุฏ ู…ู‚ุงุฑู†ุฉ ZุŒ
1135
+
1136
+ 309
1137
+ 00:29:34,490 --> 00:29:40,310
1138
+ ุฅุฐุง ุฅูƒุณ ุจุงุฑ ู…ุงู†ูˆุณ ู…ูŠูˆ ุนุจุฑ ุณูŠุฌู…ุง ZุŒ
1139
+
1140
+ 310
1141
+ 00:29:40,310 --> 00:29:50,380
1142
+ ุซู… A ู…ุงู†ูˆุณ ู…ูŠู† ุนุจุฑ ุณูŠุฌู…ุงู‡ุฐุง ูŠู‚ู„ ู„ู€ 0.65. ุงู„ุขู† ูŠุฌุจ
1143
+
1144
+ 311
1145
+ 00:29:50,380 --> 00:29:57,560
1146
+ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰ ู…ุนุฑูˆู ุงู„ู€ 0.65 ููŠ ุงู„ู…ุนุฑูุฉ. ู„ุฐู„ูƒ 0.65
1147
+
1148
+ 312
1149
+ 00:29:57,560 --> 00:30:05,260
1150
+ ูŠุนู†ูŠ Z positive. ู„ุฐู„ูƒ ุงู†ุธุฑ ุฅู„ู‰ 0.65. ู„ุฐู„ูƒ ูู‚ุท ู†ู†ุธุฑ
1151
+
1152
+ 313
1153
+ 00:30:05,260 --> 00:30:08,980
1154
+ ุฅู„ู‰ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ูŠุณ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ. ู„ุฐู„ูƒ 6 5
1155
+
1156
+ 314
1157
+ 00:30:08,980 --> 00:30:11,620
1158
+ ู…ุง ู‡ูˆ 6 5ุŸ ู„ุฏูŠู†ุง
1159
+
1160
+ 315
1161
+ 00:30:27,080 --> 00:30:33,620
1162
+ ูŠุง ุฅู…ุง ุงู„ุฃูˆู„ู‰ ุฃูˆ ุงู„ุซุงู†ูŠุฉ ูˆุงุถุญ ุงู„ุขุฎุฑ ุจู…ูŠู† ุงู„ุซุงู†ูŠุฉ
1163
+
1164
+ 316
1165
+ 00:30:33,620 --> 00:30:38,690
1166
+ ุฃู† ุฃู†ุง ุณุจุนุชุงุด ุจุฒูŠ ุงู„ุณุจุนุฉ ุนุดุฑ ู‡ุฐู‡ ุจุชุฎู„ูŠ ุจุนุดุฑูŠู† ุฃูŠ
1167
+
1168
+ 317
1169
+ 00:30:38,690 --> 00:30:41,990
1170
+ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ูุฑู‚ ุจุณูŠุท ุฒูŠ ู…ุซู„ู‹ุง ุญูŠู† ุฃู†ุง ู‚ุจู„ ู‡ูŠูƒ ุชุทู„ุน
1171
+
1172
+ 318
1173
+ 00:30:41,990 --> 00:30:47,410
1174
+ ุงู„ sigma 1.35 1.12 ุฃูˆ ุงู„ 19 ุงู„ุณุงุจู‚ ูƒุงู† ุงู„ table
1175
+
1176
+ 319
1177
+ 00:30:47,410 --> 00:30:51,690
1178
+ ุจูŠุนุทูŠ approximate result ูุฎู„ูŠู†ูŠ ุฃุฎุฏ ุงู„ุฃุฎูŠุฑุฉ ู†ูุชุฑุถ
1179
+
1180
+ 320
1181
+ 00:30:51,690 --> 00:30:58,570
1182
+ ูˆ ุจุทู„ุน ุงู„ z ุฅูŠุด ุจูŠุณุงูˆูŠ 0.3 under 9 ุฅุฐุง ุงู„ z equal 0
1183
+
1184
+ 321
1185
+ 00:30:58,570 --> 00:31:04,370
1186
+ .3 under 9 ูู‡ุฐุง ุฅูŠุด ุจูŠุณุงูˆูŠ ุงู„ู„ูŠ
1187
+
1188
+ 322
1189
+ 00:31:04,370 --> 00:31:09,550
1190
+ ุจูŠุณุงูˆูŠ ุงู„ a ู†ุงู‚ุต eight over one half ุฃูˆ ุฅุฐุง ุชุฐูƒุฑ
1191
+
1192
+ 323
1193
+ 00:31:09,550 --> 00:31:14,410
1194
+ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ู‡ูˆ a ุจูŠุณุงูˆูŠ ู…ูŠูˆ ุฒุงุฆุฏ ุฒูŠ ุณูŠุฌู…ุง X bar
1195
+
1196
+ 324
1197
+ 00:31:14,410 --> 00:31:20,170
1198
+ ู†ูุณ ุงู„ู‚ุตุฉ ุฅุฐุง ู…ุง ุจุณุชุฎุฏู… ุงู„ equation ู‡ุฐู‡ ุฃูˆ ุฃุญูƒูŠ
1199
+
1200
+ 325
1201
+ 00:31:20,170 --> 00:31:25,370
1202
+ ุนู„ู‰ ุทูˆู„ a equal ู…ูŠูˆ plus ุฒูŠ ุณูŠุฌู…ุง X bar ุงู„ู…ูŠูˆุด
1203
+
1204
+ 326
1205
+ 00:31:25,370 --> 00:31:31,530
1206
+ ุจูŠุณุงูˆูŠ eight ูˆุงู„ุณูŠุฌู…ุง ูˆุงู„ุฒูŠ ุชุณุนุฉ ูˆุชู„ุงุชูŠู† ูˆุณูŠุฌู…ุง X
1207
+
1208
+ 327
1209
+ 00:31:31,530 --> 00:31:33,370
1210
+ bar ุทู„ุนู†ุงู‡ุง one half
1211
+
1212
+ 328
1213
+ 00:31:54,390 --> 00:31:59,910
1214
+ ู…ู…ูƒู† ุชูƒูˆู† ุงู„ู€ probability between two values ุฃูˆ
1215
+
1216
+ 329
1217
+ 00:31:59,910 --> 00:32:08,130
1218
+ between a and b ุฃูˆ upper tail ุฃูˆ left tail ุฃูˆ ููŠ
1219
+
1220
+ 330
1221
+ 00:32:08,130 --> 00:32:12,730
1222
+ ุจุนุถ ุงู„ุฃุญูŠุงู† ูุฅู† ุงู„ู…ุตุงุฏุฑ ุงู„ู…ุณุชุญูŠู„ุฉ ูˆู†ุจุญุซ ุนู† ู‚ูŠู…ุฉ A
1223
+
1224
+ 331
1225
+ 00:32:12,730 --> 00:32:17,390
1226
+ ู‡ุงูŠ ูƒู„ ุงู„ุฃููƒุงุฑ ุงู„ู…ู…ูƒู†ุฉ ู…ุง ุนู†ุฏู†ุงุด ุฃูƒุชุฑ ู…ู† ู‡ูŠูƒ ููŠ ุฃูŠ
1227
+
1228
+ 332
1229
+ 00:32:17,390 --> 00:32:20,950
1230
+ ุณุคุงู„ ุญุชู‰
1231
+
1232
+ 333
1233
+ 00:32:20,950 --> 00:32:28,250
1234
+ ุงู„ุขู† ู†ุชุญุฏุซ ุนู† ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฅุฐุง ุชุชุฐูƒุฑ ููŠ
1235
+
1236
+ 334
1237
+ 00:32:28,250 --> 00:32:32,550
1238
+ ุงู„ุณู„ุงุณุฉ ุงู„ุฃูˆู„ู‰ ุฐูƒุฑู†ุง ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู‡ู†ุงูƒ
1239
+
1240
+ 335
1241
+ 00:32:32,550 --> 00:32:39,660
1242
+ ุงุชุณุงุจู‚ูŠู† ุชู‚ู„ูŠุฏูŠุฉ ูˆุชู‚ู„ูŠุฏูŠุฉ ุงู„ู€ sample mean ู‡ูˆ ุงู„ู„ูŠ
1243
+
1244
+ 336
1245
+ 00:32:39,660 --> 00:32:51,100
1246
+ ู‚ู…ู†ุง ุจู‡ ูู‚ุท ู„ู„ุจูŠุงู†ุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1247
+
1248
+ 337
1249
+ 00:32:51,100 --> 00:32:51,840
1250
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1251
+
1252
+ 338
1253
+ 00:32:51,840 --> 00:32:51,860
1254
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1255
+
1256
+ 339
1257
+ 00:32:51,860 --> 00:32:51,940
1258
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1259
+
1260
+ 340
1261
+ 00:32:51,940 --> 00:32:53,460
1262
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1263
+
1264
+ 341
1265
+ 00:32:53,460 --> 00:32:54,780
1266
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1267
+
1268
+ 342
1269
+ 00:32:54,780 --> 00:32:57,200
1270
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1271
+
1272
+ 343
1273
+ 00:32:57,200 --> 00:33:04,300
1274
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…
1275
+
1276
+ 344
1277
+ 00:33:04,920 --> 00:33:15,940
1278
+ ุงู„ู‚ูˆุงู„ุงุช ู„ูŠุณุช ููŠู‡ุง ุฃุฑู‚ุงู… ุณุฃู‚ุฏู…
1279
+
1280
+ 345
1281
+ 00:33:15,940 --> 00:33:20,660
1282
+ ูู‚ุท ุชู‚ุฑูŠุจู‹ุง ุนู† ู…ุฌุชู…ุน ุจุฑุจูˆุดู‡ุฒู† ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก
1283
+
1284
+ 346
1285
+ 00:33:20,660 --> 00:33:28,320
1286
+ ุงู„ู„ู‡ ุณู†ูƒู…ู„ ูƒู…ุง ุฐูƒุฑู†ุง ุนู…ุฑ ูˆุฑู‚ู…
1287
+
1288
+ 347
1289
+ 00:33:28,320 --> 00:33:30,760
1290
+ ูˆู‚ูŠู… ูˆุณุนูˆุฏูŠุฉ
1291
+
1292
+ 348
1293
+ 00:33:40,270 --> 00:33:46,030
1294
+ ู‡ุคู„ุงุก ู…ุซุงู„ูŠู† ู„ู„ุจูŠุงู†ุงุช
1295
+
1296
+ 349
1297
+ 00:33:46,030 --> 00:33:52,330
1298
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฅุฐุง
1299
+
1300
+ 350
1301
+ 00:33:52,330 --> 00:33:57,710
1302
+ ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชู‚ู„ูŠุฏูŠุฉ ุฃูˆ ุจูŠุงู†ุงุช ู†ู…ูŠุฐูŠุฉ ุซู…
1303
+
1304
+ 351
1305
+ 00:33:57,710 --> 00:34:00,110
1306
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ุตู…ู… ุงู„ุชุฌุงุฑุจ
1307
+
1308
+ 352
1309
+ 00:34:02,850 --> 00:34:06,470
1310
+ ุงู„ุนู†ูˆุงู† ุงู„ุณุงุจู„ ูŠุนู…ู„ ู…ุนู†ู‰ ุฅุฐุง ูƒุงู† ุงู„ู…ุนู„ูˆู…ุงุช ุนู…ู„ูŠุฉ
1311
+
1312
+ 353
1313
+ 00:34:06,470 --> 00:34:10,830
1314
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1315
+
1316
+ 354
1317
+ 00:34:10,830 --> 00:34:11,030
1318
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1319
+
1320
+ 355
1321
+ 00:34:11,030 --> 00:34:11,110
1322
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1323
+
1324
+ 356
1325
+ 00:34:11,110 --> 00:34:11,830
1326
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1327
+
1328
+ 357
1329
+ 00:34:11,830 --> 00:34:13,670
1330
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1331
+
1332
+ 358
1333
+ 00:34:13,670 --> 00:34:16,830
1334
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1335
+
1336
+ 359
1337
+ 00:34:16,830 --> 00:34:30,170
1338
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠ
1339
+
1340
+ 360
1341
+ 00:34:30,610 --> 00:34:35,870
1342
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู„ุง ูŠูˆุฌุฏ ู‚ูŠู…ุฉ ู†ู…ูŠุฑูŠุฉ ู„ู‡ุฐู‡ ุงู„ุฅุฌุงุจุฉุŒ
1343
+
1344
+ 361
1345
+ 00:34:35,870 --> 00:34:39,930
1346
+ ู„ุฐู„ูƒ ุงู„ุฅุฌุงุจุฉ ู„ุง ูŠุฌุจ ุฃู† ุชูƒูˆู† ู†ู…ูŠุฑูŠุฉุŒ ูŠุฌุจ ุฃู† ุชูƒูˆู†
1347
+
1348
+ 362
1349
+ 00:34:39,930 --> 00:34:47,550
1350
+ ุฅู…ุง ู†ุนู… ุฃูˆ ู„ุง. ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู€ qualitative. ุฅุฐุง ุนู„ู‰
1351
+
1352
+ 363
1353
+ 00:34:47,550 --> 00:34:53,630
1354
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู‡ู†ุงูƒ ุฎู…ุณุฉ
1355
+
1356
+ 364
1357
+ 00:34:53,630 --> 00:34:57,730
1358
+ ุทู„ุงุจ ุณุฃู„ู†ุงู‡ู…
1359
+
1360
+ 365
1361
+ 00:34:57,730 --> 00:35:02,090
1362
+ ู‡ู„ ุชูุถู„ ู‚ู‡ูˆุฉ A ุฃูˆ BุŸ ูˆุฎู„ูŠู†ูŠ ุฃุญูƒูŠ ุฃู†ู†ุง ู…ู‡ุชู…ูŠู† ุจู€
1363
+
1364
+ 366
1365
+ 00:35:02,090 --> 00:35:09,150
1366
+ cafe A ุจุณ So suppose we have two types A or B and
1367
+
1368
+ 367
1369
+ 00:35:09,150 --> 00:35:15,010
1370
+ the question is do you prefer cafe A suppose 35
1371
+
1372
+ 368
1373
+ 00:35:15,010 --> 00:35:22,350
1374
+ students answer yes ุฎู…ุณุฉ ูˆ ุชู„ุงุชูŠู† ูˆุงุญุฏ ู…ู†ู‡ู… ุฌุงุจ
1375
+
1376
+ 369
1377
+ 00:35:22,350 --> 00:35:28,890
1378
+ ู†ุนู… ู…ุนู†ู‰ x ุงูŠู‚ุงู„ ุชู„ุช ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1379
+
1380
+ 370
1381
+ 00:35:28,890 --> 00:35:29,890
1382
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1383
+
1384
+ 371
1385
+ 00:35:29,890 --> 00:35:32,810
1386
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1387
+
1388
+ 372
1389
+ 00:35:32,810 --> 00:35:38,270
1390
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1391
+
1392
+ 373
1393
+ 00:35:38,270 --> 00:35:40,810
1394
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1395
+
1396
+ 374
1397
+ 00:35:40,810 --> 00:35:42,210
1398
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1399
+
1400
+ 375
1401
+ 00:35:56,860 --> 00:36:10,180
1402
+ ู…ุซู„ ู†ุณุจุฉ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1403
+
1404
+ 376
1405
+ 00:36:10,180 --> 00:36:12,720
1406
+ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1407
+
1408
+ 377
1409
+ 00:36:12,720 --> 00:36:13,620
1410
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1411
+
1412
+ 378
1413
+ 00:36:13,620 --> 00:36:13,640
1414
+ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1415
+
1416
+ 379
1417
+ 00:36:13,640 --> 00:36:24,440
1418
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1419
+
1420
+ 380
1421
+ 00:36:24,440 --> 00:36:31,150
1422
+ ู†ุณุจุฉ my fifth ู…ุธุจูˆุท ุจุนุฏ ูƒุฏู‡ ุฌุณู…ุช 35 ุนู„ู‰ 50 ูŠุนู†ูŠ
1423
+
1424
+ 381
1425
+ 00:36:31,150 --> 00:36:41,970
1426
+ ุฌุณู…ุช ุงู„ X ุนู„ู‰ N equals 0.7 ุณุงู…ุจู„
1427
+
1428
+ 382
1429
+ 00:36:41,970 --> 00:36:47,410
1430
+ ุงู„ุจุฑูˆุจุงุฑุด ู†ูุณู‡ was none of us ูˆู„ุง ูˆุงุญุฏ ู…ู†ู†ุง prefer
1431
+
1432
+ 383
1433
+ 00:36:47,410 --> 00:36:53,820
1434
+ A none of us prefer ูƒุงูุฉ A ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ู…ู‚ุงุฑู†ุฉ
1435
+
1436
+ 384
1437
+ 00:36:53,820 --> 00:37:01,080
1438
+ ุชู‚ุฑูŠุจู‹ุง X ุนู„ู‰ N ูˆู‡ูˆ ู†ุตู ู…ุซู„ู‹ุง
1439
+
1440
+ 385
1441
+ 00:37:01,080 --> 00:37:08,620
1442
+ ู…ุซู„ู‹ุงุŒ ูุฅู† ุฌู…ูŠุนู†ุง ุฌู…ูŠุนู†ุง ู†ุญุจ ุงู„ูƒุงููŠู‡ุŒ ู„ุฐู„ูƒ
1443
+
1444
+ 386
1445
+ 00:37:08,620 --> 00:37:15,840
1446
+ ู…ู‚ุงุฑู†ุฉ X ูŠู‚ู„ 50 ุนู„ู‰ 50 ู‡ูŠ ูˆุงุญุฏุฉุŒ ู„ุฐู„ูƒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†
1447
+
1448
+ 387
1449
+ 00:37:15,840 --> 00:37:23,950
1450
+ ู‡ุฐุง ุงู„ู…ู‚ุงุฑู†ุฉ ุฏุงุฆู…ู‹ุง ุจูŠู† 0 ูˆ 1ุŒ ู‚ุฏ ุชูƒูˆู† 0 ูˆู‚ุฏ ุชูƒูˆู†
1451
+
1452
+ 388
1453
+ 00:37:23,950 --> 00:37:28,930
1454
+ 1ุŒ ู„ูƒู† ุฃูƒุซุฑ ู…ู† ุงู„ูˆู‚ุช ุจูŠู† 0 ูˆ 1 ุฅุฐุง ุงู„ู€ B ุฏุงุฆู…ู‹ุง
1455
+
1456
+ 389
1457
+ 00:37:28,930 --> 00:37:36,330
1458
+ non-negative ุจูŠู† 0 ูˆ 1ุŒ ุงู„ู€ range ุชุจุนู‡ุง ุจูŠู† 0 ูˆ 1ุŒ
1459
+
1460
+ 390
1461
+ 00:37:36,330 --> 00:37:39,590
1462
+ ู„ุง ูŠูˆุฌุฏ probability ุชูƒูˆู† ู†ูŠุฌุงุชูŠูุŒ ุฅู…ุง ุฃู†ูƒ ุชูุถู„ุŒ
1463
+
1464
+ 391
1465
+ 00:37:39,590 --> 00:37:45,630
1466
+ ุฅุฐุง ู„ู… ุชูุถู„ุŒ ูŠุนู†ูŠ ุจูŠู‚ู„ 0ุŒ ู„ูƒู† ู‚ูŠู…ุฉ ุฃุนู„ู‰ 1ุŒ ูู‚ูŠู…ุฉ
1467
+
1468
+ 392
1469
+ 00:37:45,630 --> 00:37:52,010
1470
+ ุฃุนู„ู‰ ู„ุง ุชุชุฌุงูˆุฒ 1ุŒ ุนู…ุฑู‡ุง ุจูŠุฒูŠุฏ ุนู† 1 ุฏุงุฆู…ู‹ุง ุงู„ B ุจูŠู† 0
1471
+
1472
+ 393
1473
+ 00:37:52,010 --> 00:37:57,970
1474
+ ูˆ 1 ู†ูุณ ุงู„ูˆู‚ุช ุณุฃู‚ูˆู… ุจุงุณุชู…ุฑุงุฑ ูˆุฃุนุทูŠ ู†ุณุจุฉ ุงู„ุชุฌุงุฑุจ
1475
+
1476
+ 394
1477
+ 00:37:57,970 --> 00:37:59,210
1478
+ ู†ุณุจุฉ ุงู„ู…ุฌุชู…ุน
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/qpdd751IW1I_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/qpdd751IW1I_raw.srt ADDED
@@ -0,0 +1,1624 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,080 --> 00:00:25,700
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅุฐุง
4
+
5
+ 2
6
+ 00:00:25,700 --> 00:00:32,580
7
+ ูƒุงู† ุงู„ุชูˆุฒูŠุน
8
+
9
+ 3
10
+ 00:00:32,580 --> 00:00:35,040
11
+ ุทุจูŠุนูŠ
12
+
13
+ 4
14
+ 00:00:42,300 --> 00:00:46,240
15
+ ูˆSigma of X bar equal Sigma over square root of N
16
+
17
+ 5
18
+ 00:00:46,240 --> 00:00:57,920
19
+ ุงู„ุงู† ู…ุงุฐุง ุณูŠุญุฏุซ ุงุฐุง ุงู„ู…ุฌุชู…ุน ุงู„ู…ุชุนุงู…ู„ ู„ูŠุณ ุทุจูŠุนูŠ ูู‡ูŠ
20
+
21
+ 6
22
+ 00:00:57,920 --> 00:01:03,840
23
+ ุงุฐุง ุงู„ู…ุฌุชู…ุน ู„ูŠุณ ุทุจูŠุนูŠ ูƒูŠู ูŠู…ูƒู†ู†ุง ุงู† ู†ุฎุจุฑ ู…ุฌู…ูˆุนุฉ
24
+
25
+ 7
26
+ 00:01:03,840 --> 00:01:07,720
27
+ ุงู„ุงู†ุชุฌุงุฑ ุนู† ู…ุนู†ู‰ ุงู„ุงู†ุชุฌุงุฑ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู…ูƒู†ู†ุง ุงู†
28
+
29
+ 8
30
+ 00:01:07,720 --> 00:01:25,350
31
+ ู†ุทุจู‚ูˆุฃุญุฏ ุงู„ุซูŠุฑูˆู… ุงู„ู…ุนุฑูˆู ู‡ูˆ ุงู„ู€ Central Limit
32
+
33
+ 9
34
+ 00:01:25,350 --> 00:01:29,510
35
+ Theorem ู†ุนุทูŠู‡ุง
36
+
37
+ 10
38
+ 00:01:29,510 --> 00:01:33,690
39
+ ุงุฎุชุตุงุฑุง CLT Central Limit Theorem
40
+
41
+ 11
42
+ 00:01:37,770 --> 00:01:40,250
43
+ ู…ุน ุฐู„ูƒ ูƒู…ุง ุฐูƒุฑุชุŒ ุฅู†ู‡ุง ูˆุงุญุฏุฉ ู…ู† ุงู„ุฃุณุงุณูŠุงุช ุงู„ุนุงู…ุฉ ููŠ
44
+
45
+ 12
46
+ 00:01:40,250 --> 00:01:45,930
47
+ ุงู„ุจูŠุงู†ุงุช. ุฅู†ู‡ุง ุชู‚ูˆู„ ุฅู† ุญุชู‰ ุฅุฐุง ู„ู… ูŠูƒู† ุงู„ู…ุฌุชู…ุน ุนุงู…ุŒ
48
+
49
+ 13
50
+ 00:01:45,930 --> 00:01:52,250
51
+ ูู†ุญู† ู†ุฑูƒุฒ ุนู„ู‰ ู…ุฌุชู…ุน ุบูŠุฑ ุนุงู…. ู„ุฐู„ูƒ ุฅุฐุง ุฃุชุช
52
+
53
+ 14
54
+ 00:01:52,250 --> 00:01:57,950
55
+ ุงู„ู…ุนู„ูˆู…ุงุช ู…ู† ู…ุฌุชู…ุน ุบูŠุฑ ุนุงู…ุŒ ููŠ ุงู„ุญู‚ูŠู‚ุฉ ุฃูƒุชุฑ ู…ู†
56
+
57
+ 15
58
+ 00:01:57,950 --> 00:02:05,060
59
+ ุงู„ูˆู‚ุช ู„ุง ูŠูˆุฌุฏ ู…ุฌุชู…ุน ุนุงู…. ู„ุฐู„ูƒ ูƒูŠู ู†ู‚ูˆู„ุงู„ู‚ุฑุงุฑุงุช ุญูˆู„
60
+
61
+ 16
62
+ 00:02:05,060 --> 00:02:07,740
63
+ ุงู„ู…ุนุงู…ู„ุงุช ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู…ูƒู†ู†ุง ุฃู† ู†ุณุชุฎุฏู… ุงู„ู€
64
+
65
+ 17
66
+ 00:02:07,740 --> 00:02:15,840
67
+ Central Limit Theorem ูŠู‚ูˆู„ ุฃู† ุงู„ู…ุนุงู…ู„ุงุช ู…ู† ุงู„ู…ุฌุชู…ุน
68
+
69
+ 18
70
+ 00:02:15,840 --> 00:02:22,380
71
+ ุณุชูƒูˆู† ุนุงู…ู„ุฉ ุชู‚ุฑูŠุจู‹ุง ูˆู„ูƒู† ู‡ู†ุง ู„ุฏูŠู†ุง ุญุงู„ุฉ ูู‚ุท ุฅุฐุง
72
+
73
+ 19
74
+ 00:02:22,380 --> 00:02:26,120
75
+ ูƒุงู†ุช ุงู„ู…ุนุงู…ู„ุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ
76
+
77
+ 20
78
+ 00:02:26,120 --> 00:02:26,120
79
+ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ ูƒุงููŠุฉ
80
+
81
+ 21
82
+ 00:02:30,830 --> 00:02:37,170
83
+ ุณูŠูƒูˆู† ู…ู‚ุงุฑู†ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ
84
+
85
+ 22
86
+ 00:02:37,170 --> 00:02:43,470
87
+ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
88
+
89
+ 23
90
+ 00:02:43,470 --> 00:02:44,210
91
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ
92
+
93
+ 24
94
+ 00:02:44,210 --> 00:02:44,250
95
+ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
96
+
97
+ 25
98
+ 00:02:44,250 --> 00:02:44,250
99
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ
100
+
101
+ 26
102
+ 00:02:44,250 --> 00:02:44,250
103
+ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ
104
+
105
+ 27
106
+ 00:02:44,250 --> 00:02:51,510
107
+ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ ุนุงู…ุฉ ุจู…ู‚ุงุฑู†ุฉ
108
+
109
+ 28
110
+ 00:02:51,510 --> 00:02:57,510
111
+ ุนุงู…ุฉ
112
+
113
+ 29
114
+ 00:02:58,840 --> 00:03:03,160
115
+ ูŠุนู†ูŠ ูƒุฏู‡ ุฅูŠุด ุจูƒูˆู†ูŠ ูƒุจูŠุฑ ุฃุณุงุณ ุฃู‚ุฏุฑ ุฃุญูƒูŠ large ูู‡ุฐุง
116
+
117
+ 30
118
+ 00:03:03,160 --> 00:03:06,200
119
+ ุฑุงุญ ู†ุฌุงูˆุจ ุนู„ูŠู‡ ุจุนุฏ ุดูˆูŠุฉ how large is large enough
120
+
121
+ 31
122
+ 00:03:06,200 --> 00:03:14,340
123
+ how large is large enough ุฅุฐุง
124
+
125
+ 32
126
+ 00:03:14,340 --> 00:03:19,660
127
+ ุงู„ theorem ุจุชุญูƒูŠ ุฃู† ุงู„ simple means ุงู„ู„ูŠ ู„ูˆ ุตุฑุช
128
+
129
+ 33
130
+ 00:03:19,660 --> 00:03:23,670
131
+ ุงู„ุญุณุงุจูŠุฉ from the populationุบูŠุฑ ุงู„ู…ู‡ู… ุฅุฐุง ูƒุงู†ุช
132
+
133
+ 34
134
+ 00:03:23,670 --> 00:03:27,090
135
+ ุนุงุฏูŠุฉ ุฃูˆ ู„ุงุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ู†ุญู† ู†ุชุญุฏุซ ุนู† ู…ุฌู…ูˆุนุงุช
136
+
137
+ 35
138
+ 00:03:27,090 --> 00:03:31,470
139
+ ุบูŠุฑ ุนุงุฏูŠุฉุŒ ู‡ุฐู‡ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุนุงู…ู„ุฉ ุณุชูƒูˆู† ุนุงุฏูŠุฉ
140
+
141
+ 36
142
+ 00:03:31,470 --> 00:03:36,910
143
+ ุชู‚ุฑูŠุจู‹ุงุŒ ูƒู…ุง ุฃู† N ูŠุตุจุญ ุฃูƒุชุฑ ูˆ ุฃูƒุชุฑ. ุฃูŠุถู‹ุงุŒ ููŠ ู‡ุฐู‡
144
+
145
+ 37
146
+ 00:03:36,910 --> 00:03:40,530
147
+ ุงู„ุญุงู„ุฉุŒ ู†ุณุชุทูŠุน ุชุทุจูŠู‚ ุงู„ู‚ูˆุงู†ูŠู† ุงู„ู„ุงุฒู…ุฉุŒ ูŠุนู†ูŠ ู…ูŠุงู† X
148
+
149
+ 38
150
+ 00:03:40,530 --> 00:03:46,230
151
+ ุจุงุฑ ู…ุงุฒุงู„ ู…ูŠูˆ ูˆุณูŠุฌู…ุน X ุจุงุฑ ูŠู‚ูˆู… ุจุณูŠุฌู…ุน ุฃูƒุชุฑ ู…ู†
152
+
153
+ 39
154
+ 00:03:46,230 --> 00:03:46,970
155
+ ุฃูƒุชุฑ ู…ู† N
156
+
157
+ 40
158
+ 00:03:49,850 --> 00:03:53,250
159
+ ุงู„ุงู† ู„ุฏูŠู†ุง ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
160
+
161
+ 41
162
+ 00:03:53,250 --> 00:03:57,030
163
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
164
+
165
+ 42
166
+ 00:03:57,030 --> 00:04:04,670
167
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
168
+
169
+ 43
170
+ 00:04:04,670 --> 00:04:09,810
171
+ ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช ุงุชุตุงู„ุงุช
172
+
173
+ 44
174
+ 00:04:09,810 --> 00:04:14,130
175
+ ุงุชุตุงู„ุงุช
176
+
177
+ 45
178
+ 00:04:15,470 --> 00:04:20,710
179
+ ูŠุตุจุญ ุฃูƒุชุฑ ูˆ ุฃูƒุชุฑ ุซู… ู†ุญู† ู„ุฏูŠู†ุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
180
+
181
+ 46
182
+ 00:04:20,710 --> 00:04:23,850
183
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
184
+
185
+ 47
186
+ 00:04:23,850 --> 00:04:24,950
187
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
188
+
189
+ 48
190
+ 00:04:24,950 --> 00:04:25,070
191
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
192
+
193
+ 49
194
+ 00:04:25,070 --> 00:04:25,090
195
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
196
+
197
+ 50
198
+ 00:04:25,090 --> 00:04:26,230
199
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง
200
+
201
+ 51
202
+ 00:04:26,230 --> 00:04:43,290
203
+ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจ
204
+
205
+ 52
206
+ 00:04:48,000 --> 00:04:57,580
207
+ with unknown population ุจุฏูŠู†ุง ุจุชูˆุฒูŠู‡ ู…ุด ู…ุนุฑูˆู then
208
+
209
+ 53
210
+ 00:04:57,580 --> 00:05:01,100
211
+ in this case we can apply this theorem the central
212
+
213
+ 54
214
+ 00:05:01,100 --> 00:05:04,360
215
+ limit theorem if the sample size is large enough
216
+
217
+ 55
218
+ 00:05:04,360 --> 00:05:11,480
219
+ so again the sampling properties we did before for
220
+
221
+ 56
222
+ 00:05:11,480 --> 00:05:13,640
223
+ the central tendency the mean of x bar equals mu
224
+
225
+ 57
226
+ 00:05:14,790 --> 00:05:17,470
227
+ ูˆู„ู„ู„ุชุงู„ูŠ ุณูŠุฌู…ุน ุงูƒุณ ุจุงุฑ ุงู‚ู„ ุณูŠุฌู…ุน ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ
228
+
229
+ 58
230
+ 00:05:17,470 --> 00:05:18,130
231
+ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ
232
+
233
+ 59
234
+ 00:05:18,130 --> 00:05:27,410
235
+ ุงูƒุณ ุจุงุฑ ุงูƒุณ ุจุงุฑ ุงูƒุณ
236
+
237
+ 60
238
+ 00:05:27,410 --> 00:05:31,590
239
+ ุจุงุฑุงุณู…ุชุฑูŠูƒ ู„ูŠุณ ุทุจูŠุนูŠ ูˆู„ูƒู† ุฅุฐุง ูƒุงู† ุงู„ู€ N ูƒุจูŠุฑ ูƒูุงูŠุฉ
240
+
241
+ 61
242
+ 00:05:31,590 --> 00:05:32,930
243
+ ู„ุฏูŠู†ุง ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
244
+
245
+ 62
246
+ 00:05:32,930 --> 00:05:34,830
247
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
248
+
249
+ 63
250
+ 00:05:34,830 --> 00:05:36,550
251
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
252
+
253
+ 64
254
+ 00:05:36,550 --> 00:05:41,090
255
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ
256
+
257
+ 65
258
+ 00:05:41,090 --> 00:05:51,670
259
+ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุชุฑ ุฃูƒุช
260
+
261
+ 66
262
+ 00:05:52,760 --> 00:05:55,800
263
+ ุจุงุณุชุฎุฏุงู… ุงู„ู€ central limit theorem ุจู‚ุฏุฑ ุฃุดุชุบู„ ุนู„ู‰
264
+
265
+ 67
266
+ 00:05:55,800 --> 00:05:58,540
267
+ ุงู„ุฌุฏุงูˆู„ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ุฃูˆู„ ู„ุฐุง ูƒู„ ู‚ุตุชู†ุง ุงู„ูŠูˆู…
268
+
269
+ 68
270
+ 00:05:58,540 --> 00:06:03,820
271
+ ุดุบู„ุฉ ูˆุงุญุฏุฉ ุจุณ ุงู† N ุชูƒูˆู† ู…ุงู„ู‡ุง ูƒุจูŠุฑุฉ ุงู„ุงู† ุงุณู…ู‡ุง how
272
+
273
+ 69
274
+ 00:06:03,820 --> 00:06:10,800
275
+ large is large enough ู‚ุฏุงุด N ุชูƒูˆู† ูƒุจูŠุฑุฉ there are
276
+
277
+ 70
278
+ 00:06:10,800 --> 00:06:15,280
279
+ three scenarios the first one for most
280
+
281
+ 71
282
+ 00:06:15,280 --> 00:06:19,580
283
+ distributions now we are looking for N when N is
284
+
285
+ 72
286
+ 00:06:19,580 --> 00:06:25,320
287
+ large enoughุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ุฃูˆู„ ููŠ ู…ุนุธู… ุงู„ุชูˆุฒูŠุนุงุช ููŠ
288
+
289
+ 73
290
+ 00:06:25,320 --> 00:06:29,100
291
+ ุฃุนู„ู‰ ู…ู† 30 ููŠ ุฃุนู„ู‰ ู…ู† 30 ุณูŠุนุทูŠ ุณุงู†ูˆูŠูƒ ุฏุณุชุฑูŠุจูŠูˆุดู†
292
+
293
+ 74
294
+ 00:06:29,100 --> 00:06:34,740
295
+ ูˆู‡ูˆ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
296
+
297
+ 75
298
+ 00:06:34,740 --> 00:06:34,740
299
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
300
+
301
+ 76
302
+ 00:06:34,740 --> 00:06:34,800
303
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
304
+
305
+ 77
306
+ 00:06:34,800 --> 00:06:34,880
307
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
308
+
309
+ 78
310
+ 00:06:34,880 --> 00:06:36,040
311
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
312
+
313
+ 79
314
+ 00:06:36,040 --> 00:06:50,560
315
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
316
+
317
+ 80
318
+ 00:06:50,560 --> 00:06:50,560
319
+ ุน
320
+
321
+ 81
322
+ 00:06:54,080 --> 00:07:02,240
323
+ in should be greater than 30 number two for fairly
324
+
325
+ 82
326
+ 00:07:02,240 --> 00:07:08,720
327
+ symmetric ุฅูŠุด ูŠุนู†ูŠ fairly symmetric ูŠุนู†ูŠ ููŠ ุชู‚ุฑูŠุจุง
328
+
329
+ 83
330
+ 00:07:08,720 --> 00:07:14,360
331
+ ุชู…ุงุซู„ ู…ุด 100% ููŠ ุชู…ุงุซู„ in is large if in is above
332
+
333
+ 84
334
+ 00:07:14,360 --> 00:07:22,140
335
+ 15 if in is greater than 15 so we canุงุณู…ุญูˆุง ุฃู† ุงุฐุง
336
+
337
+ 85
338
+ 00:07:22,140 --> 00:07:26,440
339
+ N ุฃูƒุจุฑ ู…ู† 30 ููŠ ู…ุนุธู… ุงู„ู…ุดุงุฑูƒุงุช ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€
340
+
341
+ 86
342
+ 00:07:26,440 --> 00:07:29,740
343
+ Central Limit Theorem ูˆ ุจุนุฏ ุฐู„ูƒ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ุงู„ู€
344
+
345
+ 87
346
+ 00:07:29,740 --> 00:07:36,320
347
+ Z-table ุงู„ู„ูŠ ูƒุงู† ู„ุฏูŠู†ุง ู‚ุจู„ู‡ุง ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุดุงุฑูƒุงุช
348
+
349
+ 88
350
+ 00:07:36,320 --> 00:07:40,660
351
+ ู…ุชุณุงูˆู…ุฉ ุจุดูƒู„ ูƒุงููŠ ูุฅู† N ูƒุจูŠุฑ ุฅุฐุง ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† 15
352
+
353
+ 89
354
+ 00:07:40,660 --> 00:07:43,680
355
+ ุฑู‚ู…
356
+
357
+ 90
358
+ 00:07:43,680 --> 00:07:48,280
359
+ ุชู„ุงุชุฉ ู„ู…ุดุงุฑูƒุฉ ู…ุฌุชู…ุน ุนุงู… ู„ูˆ ูƒุงู† ุนู†ุฏูŠ ู…ุดุงุฑูƒุฉ ุนุงู…ุฉ
360
+
361
+ 91
362
+ 00:07:51,350 --> 00:07:56,770
363
+ for normal population distribution
364
+
365
+ 92
366
+ 00:07:56,770 --> 00:08:02,570
367
+ the sampling distribution of the mean is is always
368
+
369
+ 93
370
+ 00:08:02,570 --> 00:08:07,090
371
+ normal ู„ูŠุดุŸ ู„ุฃู† ุงู„ุฃุตู„ ุฅูŠุด ููŠ ุนู†ุฏูŠุŸ ููŠ ุนู†ุฏูŠ normal
372
+
373
+ 94
374
+ 00:08:07,090 --> 00:08:10,850
375
+ ูุจุงู„ุชุงู„ูŠ ุงู„ X bar ุจุฑุถู‡ ู‡ูŠูƒูˆู† ู„ู‡ุง normal ุฏุงุฆู…ุง ู…ุด
376
+
377
+ 95
378
+ 00:08:10,850 --> 00:08:16,050
379
+ approximately ุฅุฐุง for normal population X bar is
380
+
381
+ 96
382
+ 00:08:16,050 --> 00:08:16,610
383
+ always
384
+
385
+ 97
386
+ 00:08:19,750 --> 00:08:30,050
387
+ ุงู„ุชูˆุฒูŠุน X bar ู‡ูˆ ุฏุงุฆู…ุง ุทุจูŠุนูŠุŒ ุจุฏู„ุง ู…ู† N
388
+
389
+ 98
390
+ 00:08:30,050 --> 00:08:34,130
391
+ ูŠุนู†ูŠ ุฃูŠุง ูƒุงู†ุช N ุตุบูŠุฑุฉ ุฃูˆ ูƒุจูŠุฑุฉุŒ ูŠุนุชุจุฑ ุงู„ุชูˆุฒูŠุน
392
+
393
+ 99
394
+ 00:08:34,130 --> 00:08:38,730
395
+ ุฏุงุฆู…ุง ุทุจูŠุนูŠ ุฅุฐุง ู„ูˆ ุฃู†ุง ุฎุงุช ู…ู† ุงู„ุทุจูŠุนูŠ ู…ุงุนู†ุฏูŠ
396
+
397
+ 100
398
+ 00:08:38,730 --> 00:08:42,470
399
+ ู…ุดูƒู„ุฉุŒ ูŠุนู†ูŠ ู„ูˆ ุญูƒูŠุชู„ูƒ for normal populationุŒ then
400
+
401
+ 101
402
+ 00:08:42,470 --> 00:08:47,050
403
+ forget about the sample sizeูˆู„ูƒู† ุฅุฐุง ูƒุงู†ุช ุงู„ุณุคุงู„
404
+
405
+ 102
406
+ 00:08:47,050 --> 00:08:53,850
407
+ ู…ู† ู…ุฌู…ูˆุนุฉ A ูˆู„ู… ู†ุฐูƒุฑ ุฃู†ู‡ุง ุนุงู…ุฉุŒ ููŠุฌุจ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰
408
+
409
+ 103
410
+ 00:08:53,850 --> 00:08:58,570
411
+ N. ููŠ ู…ุนุธู… ุงู„ู…ุดุงุฑูƒุงุช N ูƒุจูŠุฑ ุฅุฐุง ูƒุงู† N ุฃูƒุจุฑ ู…ู† 30.
412
+
413
+ 104
414
+ 00:08:59,290 --> 00:09:06,750
415
+ ู„ู€ Fairly Symmetric N ุฃูƒุจุฑ ู…ู† 15 ูŠูƒููŠ ู„ุฏูŠู‡ุง
416
+
417
+ 105
418
+ 00:09:06,750 --> 00:09:11,230
419
+ ู…ุดุงุฑูƒุงุช ุนุงู…ุฉ. ุณุฃุนุทูŠูƒ ู…ุซุงู„ ูˆุงุญุฏ.
420
+
421
+ 106
422
+ 00:09:14,670 --> 00:09:23,170
423
+ suppose a population has a mean look suppose a
424
+
425
+ 107
426
+ 00:09:23,170 --> 00:09:27,570
427
+ population so in this case we don't mention the
428
+
429
+ 108
430
+ 00:09:27,570 --> 00:09:30,470
431
+ population is normal it says just suppose a
432
+
433
+ 109
434
+ 00:09:30,470 --> 00:09:35,010
435
+ population ูˆุงุถุญุŸ ู…ุงุญูƒูŠู‡ุด normal population ุงู„ ุฅูŠู‡ุŸ
436
+
437
+ 110
438
+ 00:09:35,010 --> 00:09:38,010
439
+ ู…ุด ู…ุนู†ุงู‡ ุฅูŠู‡ ู„ู…ุง ุชูƒูˆู† ููŠ ุนู†ุฏูƒ ุดุบู„ ุฒูŠูƒ ุฅูŠุด ูŠุนู†ูŠ
440
+
441
+ 111
442
+ 00:09:38,010 --> 00:09:41,810
443
+ ุงู„ุฅูŠู‡ populationุŸ ู„ู…ุง ุจุญูƒูŠ ููŠ suppose a population
444
+
445
+ 112
446
+ 00:09:43,250 --> 00:09:46,190
447
+ ู…ุฌู‡ูˆู„ ู†ูƒุฑุฉ ุงู„ a ู†ูƒุฑุฉ ู…ุด ู…ุนุฑูˆู ูŠุนู†ูŠ ุงู„ุชูˆุฒูŠุน ู…ุด
448
+
449
+ 113
450
+ 00:09:46,190 --> 00:09:51,850
451
+ ู…ุนุฑูˆู ูŠุนู†ูŠ unknown population with mean mu equals
452
+
453
+ 114
454
+ 00:09:51,850 --> 00:09:56,570
455
+ eight ุงุฐุง
456
+
457
+ 115
458
+ 00:09:56,570 --> 00:10:00,650
459
+ ููŠ ุงู„ example ุงู„ู„ูŠ ุนู†ุฏูŠ ุงู„ mu equals eight and we
460
+
461
+ 116
462
+ 00:10:00,650 --> 00:10:05,410
463
+ have unknown population the question does not say
464
+
465
+ 117
466
+ 00:10:05,410 --> 00:10:09,230
467
+ we have or suppose we have normal population it
468
+
469
+ 118
470
+ 00:10:09,230 --> 00:10:12,770
471
+ says just suppose a population has a mean of eight
472
+
473
+ 119
474
+ 00:10:15,360 --> 00:10:21,820
475
+ ูˆุงู„ู†ุณุจุฉ ู„ู„ุนูŠุงุฑุฉ ุณูŠุฌู…ุง ุงูˆ ุซู„ุงุซุฉ ุงุนุชู…ุฏ ุนู„ู‰ ุนูŠุงุฑุฉ
476
+
477
+ 120
478
+ 00:10:21,820 --> 00:10:31,540
479
+ ุนู…ูŠู„ุฉ 36 ุนู…ู„ุงุช ุนู…ูŠู„ุฉ 36 ู…ุฎุชู„ูุฉ ุณุฃุนุทูŠ ุจุนุถ ุงู„ุฃุณุฆู„ุฉ
480
+
481
+ 121
482
+ 00:10:31,540 --> 00:10:36,200
483
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ูƒุชุงุจุฉ ููŠ ู‡ุฐู‡ ุงู„ุตูุญุฉ ุชู‚ูˆู„ ู…ุง ู‡ูŠ
484
+
485
+ 122
486
+ 00:10:36,200 --> 00:10:38,280
487
+ ู…ุนุฑูˆูุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
488
+
489
+ 123
490
+ 00:10:38,280 --> 00:10:38,280
491
+ ุนู…ู„ูŠุฉ
492
+
493
+ 124
494
+ 00:10:43,490 --> 00:10:50,630
495
+ ู„ุฐู„ูƒ ู†ุจุญุซ ุนู† 7.8 ูˆ8
496
+
497
+ 125
498
+ 00:10:50,630 --> 00:10:54,590
499
+ .2 ุงู„ุขู†
500
+
501
+ 126
502
+ 00:10:54,590 --> 00:10:58,150
503
+ ู„ุชุทุจูŠู‚ ู‡ุฐุง ุงู„ู‡ูŠุฆุฉ ุฃุนู†ูŠ ุงู„ู‡ูŠุฆุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุงู„ู‡ูŠุฆุฉ
504
+
505
+ 127
506
+ 00:10:58,150 --> 00:11:02,410
507
+ ุงู„ู…ุฑูƒุฒูŠุฉ ูŠุฌุจ ุฃู† ู†ุชุญู‚ู‚ ุตู…ูŠู… ุงู„ู…ุฌู…ูˆุนุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
508
+
509
+ 128
510
+ 00:11:02,410 --> 00:11:09,630
511
+ ุตู…ูŠู… ุงู„ู…ุฌู…ูˆุนุฉ 36 ูƒู…ุง ุฐูƒุฑู†ุง ููŠ ู…ุนุธู… ุงู„ุชุทุจูŠู‚ุงุชN is
512
+
513
+ 129
514
+ 00:11:09,630 --> 00:11:13,090
515
+ large enough if N is above 30 So in this case, we
516
+
517
+ 130
518
+ 00:11:13,090 --> 00:11:17,150
519
+ can apply the central limit theorem ูˆุงุถุญ 36 ูƒุจูŠุฑุฉ
520
+
521
+ 131
522
+ 00:11:17,150 --> 00:11:23,530
523
+ ูู…ู…ูƒู† ุงุณุชุฎุฏู… ุงู„ู†ุธุฑูŠุฉ ูˆุงุดูŠุงู„ ุนู„ู‰ ุทูˆู„ So even if the
524
+
525
+ 132
526
+ 00:11:23,530 --> 00:11:26,030
527
+ population is not normally distributed, the
528
+
529
+ 133
530
+ 00:11:26,030 --> 00:11:29,290
531
+ central limit theorem can be used ุงู„ุณุจุจ N is
532
+
533
+ 134
534
+ 00:11:29,290 --> 00:11:33,230
535
+ greater than 30 So the standard distribution of X
536
+
537
+ 135
538
+ 00:11:33,230 --> 00:11:38,390
539
+ bar is approximately normal ูˆุงุถุญุŸุทุงู„ู…ุง ุงู† ูŠุนู†ูŠ ูƒู„
540
+
541
+ 136
542
+ 00:11:38,390 --> 00:11:43,930
543
+ ุญูƒุงูŠุฉ n greater than 30 ุซู… ู†ุณุชุทูŠุน ุชุทุจูŠู‚ ุงู„ู€
544
+
545
+ 137
546
+ 00:11:43,930 --> 00:11:47,210
547
+ central
548
+
549
+ 138
550
+ 00:11:47,210 --> 00:11:53,330
551
+ limit theorem ุงู„ู€ mean of x bar ู‡ูˆ ุฏุงุฆู…ุง ุงูŠู‚ุงู„ ู…ูŠูˆ
552
+
553
+ 139
554
+ 00:11:53,330 --> 00:11:58,050
555
+ ุงู„ู„ูŠ ู‡ูˆ 8 ูˆ sigma of x bar sigma over square root
556
+
557
+ 140
558
+ 00:11:58,050 --> 00:12:02,070
559
+ of n sigma 3 square root of 36
560
+
561
+ 141
562
+ 00:12:07,360 --> 00:12:14,880
563
+ 3 ุนู„ู‰ 6 ู‡ูˆ ู†ุตู ูˆุงุญุฏ ุงู„ุขู† ู†ุจุญุซ ุนู† ู…ุฑุฉ ุฃุฎุฑู‰ X ุจุงุฑ
564
+
565
+ 142
566
+ 00:12:14,880 --> 00:12:25,920
567
+ ุจูŠู† 7.8 ูˆ8.2 ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ุฃุชุฑุฌุญ ู…ู† ู…ุฌู„ุฏ ZูŠ ู…ุฌู„ุฏ Z
568
+
569
+ 143
570
+ 00:12:25,920 --> 00:12:30,980
571
+ ู†ุญู† ูู‚ุท ู†ุทุจู‚ ู‡ุฐู‡ ุงู„ู‚ูˆุฉ ุงู„ุชูŠ ูุนู„ู†ุงู‡ุง ุงู„ุณุงุจู‚ ู…ุฑุฉ ุฒูŠ
572
+
573
+ 144
574
+ 00:12:30,980 --> 00:12:31,820
575
+ ุงูƒูˆุงู„ X ุจุงุฑ
576
+
577
+ 145
578
+ 00:12:35,710 --> 00:12:43,790
579
+ Sigma over square root of N ุฅุฐุง
580
+
581
+ 146
582
+ 00:12:43,790 --> 00:12:46,930
583
+ ู‡ุทุจู‚ ุงู„ Z-score ุงู„ู„ูŠ ู‡ูˆ ุงู„ X bar minus ุงู„ู…ูŠู† ุชุจุน
584
+
585
+ 147
586
+ 00:12:46,930 --> 00:12:50,990
587
+ ุงู„ X bar ุนู„ู‰ ุณูŠุฌู…ุน ุงู„ X bar ุฃู†ุง ุทู„ุนุช ุฅู† ุงู„ X bar
588
+
589
+ 148
590
+ 00:12:50,990 --> 00:12:57,070
591
+ equals 8 ูˆSigma X bar equals one half 7.8 this is
592
+
593
+ 149
594
+ 00:12:57,070 --> 00:13:05,570
595
+ my X bar minus Mu over Sigma of X barุฃู‚ู„ ู…ู† ุงูˆ ุงู‚ู„
596
+
597
+ 150
598
+ 00:13:05,570 --> 00:13:06,530
599
+ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„
600
+
601
+ 151
602
+ 00:13:06,530 --> 00:13:10,030
603
+ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงูˆ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
604
+
605
+ 152
606
+ 00:13:10,030 --> 00:13:12,870
607
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
608
+
609
+ 153
610
+ 00:13:12,870 --> 00:13:15,790
611
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
612
+
613
+ 154
614
+ 00:13:15,790 --> 00:13:16,150
615
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
616
+
617
+ 155
618
+ 00:13:16,150 --> 00:13:16,550
619
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
620
+
621
+ 156
622
+ 00:13:16,550 --> 00:13:22,170
623
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
624
+
625
+ 157
626
+ 00:13:22,170 --> 00:13:33,990
627
+ ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู† ุงู‚ู„ ู…ู†
628
+
629
+ 158
630
+ 00:13:34,030 --> 00:13:41,230
631
+ ุณู†ุฎุชุงุฑ ู…ุฌู…ูˆุนุฉ ุนุดูˆุงุฆูŠุฉ 36 ู…ู† ู…ุฌู…ูˆุนุฉ ุบูŠุฑ ู…ุนุฑูˆูุฉ ู‡ุฐู‡
632
+
633
+ 159
634
+ 00:13:41,230 --> 00:13:50,050
635
+ ุงู„ู…ุฌู…ูˆุนุฉ ู„ุฏูŠู‡ุง ุนุฏุฏ ู…ู† 8 ูˆู†ุญู† ู…ู‡ุชู…ูŠู† ุจุงู„ูุฑู‚ ุจูŠู† 7.8
636
+
637
+ 160
638
+ 00:13:50,050 --> 00:13:55,610
639
+ ูˆ8.2 ู„ู€ X bar ูู‡ุฐุง ูƒู„ ุดูŠุก ููŠ ู‡ุฐุง ุงู„ู†ู‚ุทุฉุจุนุฏ ุฐู„ูƒ ูŠุฌุจ
640
+
641
+ 161
642
+ 00:13:55,610 --> 00:13:59,390
643
+ ุฃู† ู†ู‚ูˆู… ุจุชู‚ุฑูŠุฑ ู‡ุฐู‡ ุงู„ู‚ูŠู… ู„ุญุตูˆู„ ุนู„ู‰ Z-score ู„ุฐู„ูƒ
644
+
645
+ 162
646
+ 00:13:59,390 --> 00:14:07,690
647
+ ุจุฏุฃู†ุง ู‡ู†ุง ู…ู† X X ู‡ูˆ ุฃูŠ ู…ุฌุชู…ุน ุงู†ุง ู…ู‡ุชู… ุจุงู„ X-bar
648
+
649
+ 163
650
+ 00:14:07,690 --> 00:14:14,490
651
+ ุจุนู…ู„ convert ู„ู‡ ู„ู„ู‚ุฑุงุฑ Z-score ู‡ุงูŠ ุงู„ Z-score ุนู†ุฏูŠ
652
+
653
+ 164
654
+ 00:14:14,490 --> 00:14:18,490
655
+ ู…ูˆุฌูˆุฏ 7.8 minus 8 over one half negative point
656
+
657
+ 165
658
+ 00:14:18,490 --> 00:14:27,420
659
+ fourุฃูŠุถู‹ุง 8.2 ู…ู† 8.2 ุนู„ู‰ 1.5 ุฃูƒุซุฑ ู…ู† 4.4 ุŒ ู„ุฐู„ูƒ
660
+
661
+ 166
662
+ 00:14:27,420 --> 00:14:35,300
663
+ ุงู„ุขู† ู„ุฏูŠู†ุง ู…ุฌู…ูˆุนุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุŒ ู„ุฐู„ูƒ ุจู…ุฌุฑุฏ ุฃู† ูŠูƒูˆู† X
664
+
665
+ 167
666
+ 00:14:35,300 --> 00:14:42,020
667
+ ุจุงุฑ ุจูŠู† 7.8 ูˆ8.2 ุŒ ู„ุฏูŠู†ุง Z ุจูŠู† ู†ู‚ุงุท ู†ู‚ุงุท 4.4 ูˆ4.4
668
+
669
+ 168
670
+ 00:14:42,020 --> 00:14:48,130
671
+ ุŒ ู„ุฐู„ูƒ ู†ุจุญุซ ุนู† ู‡ุฐุงู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ูˆุงู‚ุน ู„ู€ z-score
672
+
673
+ 169
674
+ 00:14:48,130 --> 00:14:52,050
675
+ ู‡ูŠ ู†ูุณ ุงู„ู…ู†ุทู‚ุฉ ุจูŠู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู‚ูŠู… ู„ู€ x bar ูˆู„ูƒู†
676
+
677
+ 170
678
+ 00:14:52,050 --> 00:14:56,950
679
+ ุงู„ุทุงุจู‚ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ูู‚ุท ู„ู€ z ู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐู‡
680
+
681
+ 171
682
+ 00:14:56,950 --> 00:15:04,550
683
+ ุงู„ูˆุงู‚ุนูŠุฉ ุจูŠู† ู†ู‚ู„ 0.4 ูˆ 4.4 ุฅู„ู‰ ู‡ุฐุง ุงู„ู†ู‚ุทุฉ ู‡ุฐุง ุดุจุชุฑ
684
+
685
+ 172
686
+ 00:15:04,550 --> 00:15:10,190
687
+ 7 ุงู„ู„ูŠ ุงุฎุฏู†ุง ุงู„ูŠูˆู… ุงู„ู„ูŠ ุงู†ุง ุงู„ู„ูŠ ุจู‚ุนุฏู‡ ุจุฏู‡ ุฃุญุณุจ ุงู„
688
+
689
+ 173
690
+ 00:15:10,190 --> 00:15:13,870
691
+ probability ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ู‡ู†ุงููŠ chapter six
692
+
693
+ 174
694
+ 00:15:13,870 --> 00:15:17,490
695
+ ุฏุงูŠู…ุง ู‡ูƒูˆู† ุดุบู„ู†ุง ุฒูŠ ู‡ูŠูƒ ุจู†ุงุฎุฏ ุดุบู„ ููŠ chapter
696
+
697
+ 175
698
+ 00:15:17,490 --> 00:15:22,790
699
+ ุงู„ุฌุฏูŠุฏ ู†ูุชุฑุถ chapter ุชุณุนุฉ ูˆ ุจุนุฏูŠู† ุงู„ุชูƒู…ู„ุฉ ู‡ุชูƒูˆู† ููŠ
700
+
701
+ 176
702
+ 00:15:22,790 --> 00:15:25,330
703
+ ุงู„ chapters ุงู„ู„ูŠ ูุงุชุช ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ุฌุงูŠ
704
+
705
+ 177
706
+ 00:15:25,330 --> 00:15:31,190
707
+ ูŠูƒูˆู† chapter ุชู…ุงู†ูŠุฉ ู†ูุชุฑุถ ุชูƒู…ู„ุฉ ุณุจุนุฉ ุฃูˆ ุชูƒู…ู„ุฉ ุณุชุฉ
708
+
709
+ 178
710
+ 00:15:31,190 --> 00:15:34,790
711
+ ูุจุงู„ุชุงู„ูŠ ู‡ูŠ series ู…ุน ุจุนุถ ูŠุนู†ูŠ ู„ุงุฒู… ุฃุณุชูˆุนุจ ุงู„ุณุช
712
+
713
+ 179
714
+ 00:15:34,790 --> 00:15:38,870
715
+ ุงู„ุฃูˆู„ ุนุดุงู† ุฃูู‡ู… ุงู„ุณุจุนุฉ ูˆ ุนุดุงู† ุฃูู‡ู… ู…ุง ุชุจู‚ู‰ ู„ุงุฒู…
716
+
717
+ 180
718
+ 00:15:38,870 --> 00:15:44,980
719
+ ุฃุนุฑู ู…ุง ุณุจู‚ ุณุจุนุฉ ุฃูˆ ุณุชุฉ ูˆ ู‡ูƒุฐุงุจุนู†ูˆุงู† P of Z
720
+
721
+ 181
722
+ 00:15:44,980 --> 00:15:52,360
723
+ between negative point four and plus four ู†ู‚ุงุท
724
+
725
+ 182
726
+ 00:15:52,360 --> 00:15:55,480
727
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
728
+
729
+ 183
730
+ 00:15:55,480 --> 00:15:56,200
731
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
732
+
733
+ 184
734
+ 00:15:56,200 --> 00:15:56,320
735
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
736
+
737
+ 185
738
+ 00:15:56,320 --> 00:15:56,380
739
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
740
+
741
+ 186
742
+ 00:15:56,380 --> 00:15:57,080
743
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
744
+
745
+ 187
746
+ 00:15:57,080 --> 00:15:58,680
747
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
748
+
749
+ 188
750
+ 00:15:58,680 --> 00:16:11,920
751
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚
752
+
753
+ 189
754
+ 00:16:13,350 --> 00:16:18,130
755
+ ูƒูŠู ุทู„ุนุชูˆุงู‡ุง ู‚ุจู„ ู‡ูŠูƒุŸ
756
+
757
+ 190
758
+ 00:16:18,130 --> 00:16:23,130
759
+ ุทุจ ูˆุงุญุฏ ู‡ุทู„ุนุช ู…ุงุฑูŠู†ูŠุฉ ุฃู†ุง ุง๏ฟฝ๏ฟฝูƒู„ุงู†ุฉ ุฃู†ุง ู…ุด ู‡ุดุฑุญู‡
760
+
761
+ 191
762
+ 00:16:23,130 --> 00:16:25,770
763
+ ู…ุฑุชูŠู† ูˆ ุนุดุฑุฉ ู…ุด .. ุญุชู‰ ุงุจุง ุฃู†ุง ุจุดุฑุญ ู„ุฅู† ุงู†ุช ุฎุฏุชูŠู‡
764
+
765
+ 192
766
+ 00:16:25,770 --> 00:16:31,010
767
+ ู‚ุจู„ ู‡ูŠูƒ ู‡ูุชุญู„ูƒ
768
+
769
+ 193
770
+ 00:16:31,010 --> 00:16:35,310
771
+ ุงู„ Z table ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ู…ุนู†ุงุŸ
772
+
773
+ 194
774
+ 00:17:05,820 --> 00:17:08,600
775
+ ุฅุฐุงู‹ ุงู„ู€ area between negative point four and plus
776
+
777
+ 195
778
+ 00:17:08,600 --> 00:17:11,820
779
+ four ู‡ุฐู‡ ูƒู„ู‡ุง minus ู‡ุฐู‡ ุจุงู„ุธุจุท ุงู„ู„ูŠ ู‡ูŠ ุงู„ area to
780
+
781
+ 196
782
+ 00:17:11,820 --> 00:17:14,760
783
+ the left of point four minus the area to the left
784
+
785
+ 197
786
+ 00:17:14,760 --> 00:17:18,850
787
+ of negative point fourุงู„ุงู† ู†ุญู† ู„ุฏูŠู†ุง P of Z ุฃู‚ู„ ู…ู†
788
+
789
+ 198
790
+ 00:17:18,850 --> 00:17:22,250
791
+ 0.4 ุฃู‚ู„ ู…ู† P of Z ู†ู‚ู„ ู…ู† ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
792
+
793
+ 199
794
+ 00:17:22,250 --> 00:17:23,930
795
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
796
+
797
+ 200
798
+ 00:17:23,930 --> 00:17:25,430
799
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
800
+
801
+ 201
802
+ 00:17:25,430 --> 00:17:26,290
803
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
804
+
805
+ 202
806
+ 00:17:26,290 --> 00:17:30,030
807
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
808
+
809
+ 203
810
+ 00:17:30,030 --> 00:17:34,250
811
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
812
+
813
+ 204
814
+ 00:17:34,250 --> 00:17:41,510
815
+ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
816
+
817
+ 205
818
+ 00:17:48,240 --> 00:17:58,680
819
+ 0.6554 ุฅู„ู‰
820
+
821
+ 206
822
+ 00:17:58,680 --> 00:18:06,200
823
+ ุงู„ู„ุญุธุฉ ุงู„ area to the left ุงู„ area ุงู„ู„ูŠ ู‡ู†ุง 0.6 ุงู„
824
+
825
+ 207
826
+ 00:18:06,200 --> 00:18:10,440
827
+ area ุงู„ู„ูŠ ู‡ู†ุง to the left ูƒู„ ุงู„ area ู‡ุฐู‡ ุทู„ุนุชุด
828
+
829
+ 208
830
+ 00:18:10,440 --> 00:18:13,800
831
+ ุชุณุงูˆูŠ 0.6554 minus
832
+
833
+ 209
834
+ 00:18:18,400 --> 00:18:21,720
835
+ ู‡ุฐู‡ ู…ุด ู‡ุชุทู„ุนุญู‡ุง ู…ู† ุงู„ุฌุฏูˆู„ ู‡ุชุทู„ุนุญู‡ุง ู…ุจุงุดุฑุฉ ุงู„ู„ูŠ ู‡ูŠ
836
+
837
+ 210
838
+ 00:18:21,720 --> 00:18:26,540
839
+ ู†ูุณ ุงู„ู„ูŠ ู‡ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุธุจูˆุท ุฒูŠู‡ุง ู†ูุณ ุงู„ .. ุจุณ
840
+
841
+ 211
842
+ 00:18:26,540 --> 00:18:35,840
843
+ ุงู„ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ุจุธุจุท
844
+
845
+ 212
846
+ 00:18:35,840 --> 00:18:43,000
847
+ ู…ู…ุชุงุฒ
848
+
849
+ 213
850
+ 00:18:43,000 --> 00:18:45,940
851
+ ู‡ูŠูƒ ุงู„ุตูˆุฑุฉ ูˆุงุถุญุฉ ุงู„ less than negative
852
+
853
+ 214
854
+ 00:18:53,110 --> 00:18:56,490
855
+ ุจุงู„ุธุจุท ุงู„ู„ูŠ ู‡ูŠ area to the left of 0.4 minus the
856
+
857
+ 215
858
+ 00:18:56,490 --> 00:19:00,510
859
+ area to the left of negative 0.4 So now we have P
860
+
861
+ 216
862
+ 00:19:00,510 --> 00:19:04,230
863
+ of z less than 0.4 minus P of z less than negative
864
+
865
+ 217
866
+ 00:19:04,230 --> 00:19:09,410
867
+ 0.4 Suppose you have just the positive z, this z
868
+
869
+ 218
870
+ 00:19:09,410 --> 00:19:14,250
871
+ score In the exam I will just give one table, the
872
+
873
+ 219
874
+ 00:19:14,250 --> 00:19:20,050
875
+ positive one Negative is one minusุงูŠ ุญุงุฌุฉ ู„ูˆ ุจุชุทู„ุน
876
+
877
+ 220
878
+ 00:19:20,050 --> 00:19:23,530
879
+ positive ุนุงูŠุฒ ุงู„ negative ุชุจุนู‡ ู†ูุณ ุงู„ value one
880
+
881
+ 221
882
+ 00:19:23,530 --> 00:19:38,590
883
+ minus ุจุชุทู„ุน ุงู„ point four point six five five four
884
+
885
+ 222
886
+ 00:19:38,590 --> 00:19:41,670
887
+ ุงู„ู„ุญุธุฉ
888
+
889
+ 223
890
+ 00:19:41,670 --> 00:19:48,710
891
+ ุงู„ area to the left ุงู„ area ุงู„ู„ูŠ ู‡ู†ุงpoint six ุงู„
892
+
893
+ 224
894
+ 00:19:48,710 --> 00:19:52,910
895
+ area ุงู„ู„ูŠ ู‡ู†ุง to the left ูƒู„ ุงู„ area ู‡ุฐู‡ ุทู„ุนุชุด
896
+
897
+ 225
898
+ 00:19:52,910 --> 00:19:59,590
899
+ ุชุณุงูˆูŠ point six five five four minus ู‡ุฐู‡
900
+
901
+ 226
902
+ 00:19:59,590 --> 00:20:05,330
903
+ ู…ุด ู‡ุชุทู„ุนุญู‡ุง ู…ู† ุงู„ุฌุฏูˆู„ ู‡ุชุทู„ุนุญู‡ุง ู…ุจุงุดุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ู†ูุณ
904
+
905
+ 227
906
+ 00:20:05,330 --> 00:20:09,330
907
+ ุงู„ู„ูŠ ู‡ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู…ุธุจูˆุท ุฒูŠู‡ุง ู†ูุณ ุงู„ .. ุจุณ ุงู„ู‚ูŠู…ุฉ
908
+
909
+ 228
910
+ 00:20:09,330 --> 00:20:13,870
911
+ ู…ุฎุชู„ูุฉ ุจุงู„ุธุจุท
912
+
913
+ 229
914
+ 00:20:24,940 --> 00:20:28,420
915
+ ู…ู…ุชุงุฒุŒ ู‡ูŠูƒ ุงู„ุตูˆุฑุฉ ูˆุงุถุญุฉ ุงู„ู€ less than negative
916
+
917
+ 230
918
+ 00:20:28,420 --> 00:20:38,040
919
+ point four ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงุฐุง
920
+
921
+ 231
922
+ 00:20:38,040 --> 00:20:42,820
923
+ ุงู„ area to the left of negative point four ู‡ูŠ ู†ูุณ
924
+
925
+ 232
926
+ 00:20:42,820 --> 00:20:47,200
927
+ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ right ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุณุงุญุฉ to the
928
+
929
+ 233
930
+ 00:20:47,200 --> 00:20:50,720
931
+ right sideุงู„ู€ right ู…ุด ู…ูˆุฌูˆุฏ ุนู†ุฏ ุงู„ู€ right ู…ูˆุฌูˆุฏ
932
+
933
+ 234
934
+ 00:20:50,720 --> 00:20:54,360
935
+ ุนู†ุฏ ุงู„ู€ left ู greater than ุนุจุงุฑุฉ ุนู† ุฅูŠุด one minus
936
+
937
+ 235
938
+ 00:20:54,360 --> 00:20:57,920
939
+ p of z less than point four ุฃูˆ ู…ู…ูƒู† ุฃู†ุง ุจุฏู„ ู…ูƒุชูˆุจ
940
+
941
+ 236
942
+ 00:20:57,920 --> 00:21:03,020
943
+ ูˆ ุงุชุนุจ ูƒู„ ุฎุทูˆุงุช ุฏูˆู„ ุทุงู„ู…ุง one minus ูŠุนู†ูŠ ุนู„ู‰ ุทูˆู„
944
+
945
+ 237
946
+ 00:21:03,020 --> 00:21:08,160
947
+ automatic ู‡ุทู„ุญู‡ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง less than
948
+
949
+ 238
950
+ 00:21:08,160 --> 00:21:12,200
951
+ negative point four one minus ุงู„ู„ูŠ ุทู„ุนุช ู…ุนุงู‡ ุฎู„ุงุต
952
+
953
+ 239
954
+ 00:21:12,200 --> 00:21:13,380
955
+ ุจุฏู„ ู…ุง ุฃุนู…ู„ ุณุทุฑูŠู† ุฒูŠุงุฏุฉ
956
+
957
+ 240
958
+ 00:21:16,420 --> 00:21:22,060
959
+ ูˆุงุถุญ ุงู† ุฒู…ูŠู„ุชูŠ ูƒุงู…ู„ุฉ ูƒู„ุงู…ูƒ ุตุญ ุทู„ุนุช 0.6554 ุจุณ ุชุนุงู„ู‰
960
+
961
+ 241
962
+ 00:21:22,060 --> 00:21:28,080
963
+ ุดูˆูŠุฉ ุฏู‡ ู‡ูŠ minus ุงู„ negative 0.4 ุฒูŠ ุงู„ plus ุจุณ ุฅูŠุด
964
+
965
+ 242
966
+ 00:21:28,080 --> 00:21:39,460
967
+ one minus ู‡ูŠุทู„ุน ุงู„ุฌูˆุงุจ ูƒู…ู†ุง minus
968
+
969
+ 243
970
+ 00:21:39,460 --> 00:21:43,020
971
+ three four four six
972
+
973
+ 244
974
+ 00:21:45,940 --> 00:21:49,040
975
+ ู„ุญุธุฉ ู„ุงู† ุงู„ุฌูˆุงุจ ุทู„ุนุช ูˆุฒู…ูŠู„ุชูƒ ู„ุฅู† ุฑูˆุญุช ุงู„ู€ negative
976
+
977
+ 245
978
+ 00:21:49,040 --> 00:21:54,920
979
+ ู„ูˆ ุญุจูŠุช ุฃุชุฃูƒุฏ ุทู„ุน ู‡ูŠ ุงู„ู€ negative 0.4 ุงู„ู„ูŠ ู‡ูŠ
980
+
981
+ 246
982
+ 00:21:54,920 --> 00:21:59,100
983
+ ุงู„ู‚ูŠู…ุฉ ุฏูŠ ุทู„ุนุช ุดูˆูŠุฉ ุจุณ ู‡ูŠ ุงู„ู€ negative 0.4 ุงู„ู„ูŠ ู‡ูŠ
984
+
985
+ 247
986
+ 00:21:59,100 --> 00:22:04,340
987
+ 0.3446 ูˆุงุถุญุŸ
988
+
989
+ 248
990
+ 00:22:04,340 --> 00:22:08,220
991
+ ุฅุฐุง ุจุทู„ุน ุงู„ positive ู„ูˆ ุนุงูŠุฒ ุงู„ negative one minus
992
+
993
+ 249
994
+ 00:22:09,170 --> 00:22:12,670
995
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ููŠ ุดุจุชุฑ 6 ุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ูˆุงุถู‚ ู…ู†
996
+
997
+ 250
998
+ 00:22:12,670 --> 00:22:25,630
999
+ ู†ูุณูƒ ููŠู‡ ูุงู„ุฌูˆุงุจ ุจุทู„ุน 3108 point 3108 so
1000
+
1001
+ 251
1002
+ 00:22:25,630 --> 00:22:30,870
1003
+ again we have this probability between x bar
1004
+
1005
+ 252
1006
+ 00:22:30,870 --> 00:22:36,250
1007
+ between 7.8 and 8.2 you
1008
+
1009
+ 253
1010
+ 00:22:36,250 --> 00:22:37,670
1011
+ have to convert to this score
1012
+
1013
+ 254
1014
+ 00:22:40,610 --> 00:22:44,330
1015
+ ู„ุฐู„ูƒ ุจุงุณุชุฎุฏุงู… ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ x-mean over sigma over
1016
+
1017
+ 255
1018
+ 00:22:44,330 --> 00:22:47,630
1019
+ root n ูˆู†ู†ุชู‡ูŠ ุจz ุจูŠู† ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
1020
+
1021
+ 256
1022
+ 00:22:47,630 --> 00:22:48,170
1023
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
1024
+
1025
+ 257
1026
+ 00:22:48,170 --> 00:22:57,510
1027
+ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท
1028
+
1029
+ 258
1030
+ 00:23:08,860 --> 00:23:17,360
1031
+ ู…ุซู„ู‹ุง ู†ุจุญุซ ุนู† ุจูŠูˆุจ ุงูƒุณุจุงุฑ ุฃูƒุจุฑ ู…ู† 10 ุฃูƒุจุฑ
1032
+
1033
+ 259
1034
+ 00:23:17,360 --> 00:23:22,120
1035
+ ู…ู† ุนุดุฑุฉ ู…ุฏู‘ูŠ
1036
+
1037
+ 260
1038
+ 00:23:22,120 --> 00:23:23,640
1039
+ ูˆุงุญุฏุฉ ุชุทู„ุน ุชุญู„ู‡ุง
1040
+
1041
+ 261
1042
+ 00:23:32,420 --> 00:23:36,680
1043
+ ุชุดูˆู ุฃูˆู„ ุญุงุฌุฉ ุนู…ู„ุช ุชุฒู…ูŠู„ุชูƒ ุนู…ู„ุช one minus ู„ุฃู† area
1044
+
1045
+ 262
1046
+ 00:23:36,680 --> 00:23:46,740
1047
+ to the right equals one minus area to the left ุงูŠุด
1048
+
1049
+ 263
1050
+ 00:23:46,740 --> 00:23:50,680
1051
+ ุดุบุงู„ูˆู†ู‡ู…ุŸ
1052
+
1053
+ 264
1054
+ 00:23:50,680 --> 00:23:58,440
1055
+ ูƒูˆูŠุณ ุฎู„ูŠู†ูŠ
1056
+
1057
+ 265
1058
+ 00:23:58,440 --> 00:24:04,030
1059
+ ุฃูƒู…ู„ ู…ุนุงูƒ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉูˆ ุงุชุญูˆู„ ุงู„ X bar ู„ Z ูƒูˆูŠุณุŸ
1060
+
1061
+ 266
1062
+ 00:24:04,030 --> 00:24:13,650
1063
+ ูู‡ุฐู‡ ู‡ุชุณุงูˆูŠ ู‡ูŠ one minus ุจูŠ X bar ุญุตูŠุฑ Z ุงู‚ู„ ู…ู† ู‡ูŠ
1064
+
1065
+ 267
1066
+ 00:24:13,650 --> 00:24:19,710
1067
+ ุงู„ X bar ุนุดุฑุฉ minus ูƒุงู…ู„ุฉ minus ุงู„ mean ู‡ูŠ ุงู„ mean
1068
+
1069
+ 268
1070
+ 00:24:19,710 --> 00:24:23,990
1071
+ eight ูˆ sigma X bar one half
1072
+
1073
+ 269
1074
+ 00:24:28,240 --> 00:24:37,740
1075
+ ุจุชุทู„ุน one minus ุจูŠูˆู ุฒูŠ less than four ุฅู„ู‰
1076
+
1077
+ 270
1078
+ 00:24:37,740 --> 00:24:41,920
1079
+ ู…ู† ุบูŠุฑ ุงู„ table ุฒูŠ ุฃู‚ู„ ู…ู† ุฃุฑุจุนุฉ ู…ุด ุจุชุณุงูˆูŠ ุจูŠูˆู ุฒูŠ
1080
+
1081
+ 271
1082
+ 00:24:41,920 --> 00:24:47,940
1083
+ less than four this
1084
+
1085
+ 272
1086
+ 00:24:47,940 --> 00:24:54,740
1087
+ is
1088
+
1089
+ 273
1090
+ 00:24:54,740 --> 00:25:08,980
1091
+ fourso the area to the left of four ู…ุด ุจุชุณุงูˆูŠ ูƒู„ู‡ุง
1092
+
1093
+ 274
1094
+ 00:25:08,980 --> 00:25:14,140
1095
+ ุฏูŠ zero ุทูŠุจ
1096
+
1097
+ 275
1098
+ 00:25:14,140 --> 00:25:18,800
1099
+ ุทุงู„ู…ุง ุนู„ู‰ ุงู„ table ุงู„ table ุงู„ู…ุนู†ู‰ ุจุชุชุฐูƒุฑ ูŠุง ุฃุฎูˆ
1100
+
1101
+ 276
1102
+ 00:25:18,800 --> 00:25:23,140
1103
+ ุงู„ู…ุฑุฉ ุญูƒูŠู†ุง ุนู† ุงู„ table ู„ุบุงูŠุฉ
1104
+
1105
+ 277
1106
+ 00:25:23,140 --> 00:25:29,560
1107
+ ู„ุบุงูŠุฉ three point fourูˆุชุญุช ุงู„ุชุณุนุฉ ุงู„ุฌูˆุงุจ 9998 ูŠุนู†ูŠ
1108
+
1109
+ 278
1110
+ 00:25:29,560 --> 00:25:37,120
1111
+ ู„ุบุงูŠุฉ ู‡ู†ุง 3.49 ุงู„ area to the left 9998
1112
+
1113
+ 279
1114
+ 00:25:37,120 --> 00:25:41,940
1115
+ ุงู†ุง ู…ุด ุนุงูŠุฒ 3.49 ุงูƒุจุฑ ูƒู…ุงู† ุฑูˆุญุช ุดูˆูŠุฉ ุนู„ูŠ ุงู„ูŠู…ูŠู†
1116
+
1117
+ 280
1118
+ 00:25:41,940 --> 00:25:47,320
1119
+ approximately ูˆุงุญุฏ ุงุฐุง ู‡ุงูŠ ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„
1120
+
1121
+ 281
1122
+ 00:25:47,320 --> 00:25:54,240
1123
+ ู‡ู†ุง ู†ุงู‚ุต ูˆุงุญุฏ ูุงู„ุฌูˆุงุจ ูŠุณุชุฎุฏู… ุชู‚ุฑูŠุจุง zeroุฅุฐุง ู„ู…ุง
1124
+
1125
+ 282
1126
+ 00:25:54,240 --> 00:26:00,300
1127
+ ุฃูƒูˆู† ุนู†ุฏูŠ z value is not listed positive
1128
+
1129
+ 283
1130
+ 00:26:00,300 --> 00:26:04,060
1131
+ not listed means one I mean greater than point
1132
+
1133
+ 284
1134
+ 00:26:04,060 --> 00:26:09,340
1135
+ four negative is not listed zero so the
1136
+
1137
+ 285
1138
+ 00:26:09,340 --> 00:26:17,960
1139
+ probability equals in this case zero one
1140
+
1141
+ 286
1142
+ 00:26:17,960 --> 00:26:28,460
1143
+ more b of x bar less thanุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ 5 ุงุญุชู…ุงู„
1144
+
1145
+ 287
1146
+ 00:26:28,460 --> 00:26:34,140
1147
+ X bar ุฃู‚ู„ ู…ู† ุฎู…ุณุฉ ุฃุฎุฏ ุฃูˆู„ ูˆุงุญุฏุฉ ุจูŠู† two values
1148
+
1149
+ 288
1150
+ 00:26:34,140 --> 00:26:38,360
1151
+ number two X bar greater than ten now number three
1152
+
1153
+ 289
1154
+ 00:26:38,360 --> 00:26:43,040
1155
+ X bar less than five what's probability of X bar
1156
+
1157
+ 290
1158
+ 00:26:43,040 --> 00:26:44,240
1159
+ less than five
1160
+
1161
+ 291
1162
+ 00:26:56,490 --> 00:27:05,810
1163
+ ู†ู‚ุตุฉ eight ุนู„ู‰ one half ุฒูŠ less than negative six
1164
+
1165
+ 292
1166
+ 00:27:05,810 --> 00:27:13,110
1167
+ ู„ุญุธุฉ
1168
+
1169
+ 293
1170
+ 00:27:13,110 --> 00:27:17,610
1171
+ negative six againุงู„ุดุฎุต ุงู„ู„ูŠ ู„ุฏูŠู‡ ููŠ ุงู„ู…ุทุงู„ุจ ู‡ูˆ
1172
+
1173
+ 294
1174
+ 00:27:17,610 --> 00:27:24,370
1175
+ ู†ุฌุงุชู 3.4 ุฃุณูู„ 9 ูˆู‡ูˆ 0002 ุฅุฐุง
1176
+
1177
+ 295
1178
+ 00:27:24,370 --> 00:27:26,970
1179
+ ุงู„ู„ูŠ ุจุชุทู„ุน ุฃู‚ู„ ู…ู† ุณู„ุจ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ๏ฟฝ๏ฟฝุฌุงุชู
1180
+
1181
+ 296
1182
+ 00:27:26,970 --> 00:27:31,450
1183
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1184
+
1185
+ 297
1186
+ 00:27:31,450 --> 00:27:32,970
1187
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1188
+
1189
+ 298
1190
+ 00:27:32,970 --> 00:27:37,290
1191
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1192
+
1193
+ 299
1194
+ 00:27:37,290 --> 00:27:37,790
1195
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1196
+
1197
+ 300
1198
+ 00:27:37,790 --> 00:27:37,970
1199
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1200
+
1201
+ 301
1202
+ 00:27:37,970 --> 00:27:43,690
1203
+ ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู ู†ุฌุงุชู
1204
+
1205
+ 302
1206
+ 00:27:43,690 --> 00:27:50,260
1207
+ ู†ุฌุงุชูˆู„ูƒู†ู†ุง ู†ุจุญุซ ุนู† ุงู„ู€-6 ุŒ ู„ุฐู„ูƒ ุงู„ู€-6 ููŠ ู‡ุฐู‡
1208
+
1209
+ 303
1210
+ 00:27:50,260 --> 00:27:55,100
1211
+ ุงู„ุทุฑูŠู‚ุฉ ุŒ ู„ุฐู„ูƒ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‚ุฑูŠุจุฉ ุฌุฏู‹ุง ู…ู† ุฃู† ุชูƒูˆู†
1212
+
1213
+ 304
1214
+ 00:27:55,100 --> 00:28:08,960
1215
+ ุตูุฑู‹ุง ุŒ ูุฅู†ู†ุง
1216
+
1217
+ 305
1218
+ 00:28:08,960 --> 00:28:11,380
1219
+ ู†ุจุญุซ ุนู† ุงู„ุงูƒุชุดุงู ุฃูƒุจุฑ ู…ู† 5
1220
+
1221
+ 306
1222
+ 00:28:14,750 --> 00:28:21,110
1223
+ x bar ุฃูƒุจุฑ ู…ู† ุฎู…ุณุฉ ู…ุด ุงู„ุฌูˆุงุจ ูˆุงุญุฏ ู„ุฃูŠ one minus b
1224
+
1225
+ 307
1226
+ 00:28:21,110 --> 00:28:26,390
1227
+ of x bar less than five one minus zero is one
1228
+
1229
+ 308
1230
+ 00:28:49,230 --> 00:28:56,290
1231
+ ู…ุงู‡ูˆ ู‚ูŠู…ุฉ aุŸ ุงูŠุด ู‚ูŠู…ุฉ ุงู„ู€ aุŸ ู„ุฅู† ู‡ุฐู‡ ุงู„ูˆุงู‚ุนูŠุฉ ูŠู‚ู„
1232
+
1233
+ 309
1234
+ 00:28:56,290 --> 00:29:02,910
1235
+ 0.65 ุฅู„ู‰ ุงู„ุนูƒุณ ุงู„ู€ B ู…ูุนุฑูˆู ูˆู†ุญู† ู†ุจุญุซ ุนู† ู‡ุฐุง
1236
+
1237
+ 310
1238
+ 00:29:02,910 --> 00:29:09,090
1239
+ ุงู„ู‚ูŠู…ุฉ A ูƒูŠู ุฃุทู„ุน ุงู„ู€ AุŸ ุนู…ู„ูŠุฉ ุนูƒุณูŠุฉ ุงู„ุฃูˆู„
1240
+
1241
+ 311
1242
+ 00:29:09,090 --> 00:29:14,410
1243
+ ุงู„ูˆุงู‚ุนูŠุฉ ูƒุงู†ุช ุบูŠุฑ ู…ุนุฑูˆูุฉ ูˆู†ุฌุฏุช ุงู„ูˆุงู‚ุนูŠุฉ ูˆ X bar
1244
+
1245
+ 312
1246
+ 00:29:14,410 --> 00:29:19,670
1247
+ ูƒุงู†ุช ู…ูุนุฑูˆูุฉุฅูƒุณ ุจุงุฑ ู„ูŠุณ ู…ูุนุฑูˆูู‹ุงุŒ A ุบูŠุฑ ู…ุนุฑูˆูู‹ุงุŒ
1248
+
1249
+ 313
1250
+ 00:29:19,670 --> 00:29:24,850
1251
+ ูˆู‡ุฐู‡ ุงู„ู…ุนุฑูˆูุฉ ู…ูุนุฑูˆูุฉุŒ ูƒูŠู ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฌุฏ ู‚ูŠู…ุฉ AุŸ
1252
+
1253
+ 314
1254
+ 00:29:24,850 --> 00:29:34,490
1255
+ ุจู…ุนู†ู‰ ุฐู„ูƒุŒ ุฅุฌุฏ ู…ู‚ุงุฑู†ุฉ ZุŒ
1256
+
1257
+ 315
1258
+ 00:29:34,490 --> 00:29:40,310
1259
+ ุฅุฐุง ุฅูƒุณ ุจุงุฑ ู…ุงู†ูˆุณ ู…ูŠูˆ ุนุจุฑ ุณูŠุฌู…ุง ZุŒ
1260
+
1261
+ 316
1262
+ 00:29:40,310 --> 00:29:50,380
1263
+ ุซู… A ู…ุงู†ูˆุณ ู…ูŠู† ุนุจุฑ ุณูŠุฌู…ุงู‡ุฐุง ูŠู‚ู„ ู„ู€ 0.65. ุงู„ุขู† ูŠุฌุจ
1264
+
1265
+ 317
1266
+ 00:29:50,380 --> 00:29:57,560
1267
+ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰ ู…ุนุฑูˆู ุงู„ู€ 0.65 ููŠ ุงู„ู…ุนุฑูุฉ. ู„ุฐู„ูƒ 0.65
1268
+
1269
+ 318
1270
+ 00:29:57,560 --> 00:30:05,260
1271
+ ูŠุนู†ูŠ Z positive. ู„ุฐู„ูƒ ุงู†ุธุฑ ุฅู„ู‰ 0.65. ู„ุฐู„ูƒ ูู‚ุท ู†ู†ุธุฑ
1272
+
1273
+ 319
1274
+ 00:30:05,260 --> 00:30:08,980
1275
+ ุฅู„ู‰ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ูŠุณ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ. ู„ุฐู„ูƒ 6 5
1276
+
1277
+ 320
1278
+ 00:30:08,980 --> 00:30:11,620
1279
+ ู…ุง ู‡ูˆ 6 5ุŸ ู„ุฏูŠู†ุง
1280
+
1281
+ 321
1282
+ 00:30:27,080 --> 00:30:33,620
1283
+ ูŠุง ุงู…ุง ุงู„ุฃูˆู„ู‰ ุงูˆ ุงู„ุชุงู†ูŠุฉ ูˆุงุถุญ ุงู„ุงุฎุฑ ุจู…ูŠู† ุงู„ุชุงู†ูŠุฉ
1284
+
1285
+ 322
1286
+ 00:30:33,620 --> 00:30:38,690
1287
+ ุงู† ุงู†ุง ุณุจุนุชุงุด ุจุฒูŠ ุงู„ุณุจุนุชุงุด ู‡ุฐู‡ ุจุชุฎู„ู‰ ุจุนุดุฑูŠู†ุฃูŠ
1288
+
1289
+ 323
1290
+ 00:30:38,690 --> 00:30:41,990
1291
+ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ูุฑู‚ ุจุณูŠุท ุฒูŠ ู…ุซู„ุง ุญูŠู† ุฃู†ุง ู‚ุจู„ ู‡ูŠูƒ ุชุทู„ุน
1292
+
1293
+ 324
1294
+ 00:30:41,990 --> 00:30:47,410
1295
+ ุงู„ sigma 1.35 1.12 ุฃูˆ ุงู„ 19 ุงู„ุณุงุจู‚ ูƒุงู† ุงู„ table
1296
+
1297
+ 325
1298
+ 00:30:47,410 --> 00:30:51,690
1299
+ ุจูŠุนุทูŠ approximate result ูุฎู„ู‘ูŠู†ูŠ ุฃุฎุฏ ุงู„ุฃุฎูŠุฑุฉ ู†ูุชุฑุถ
1300
+
1301
+ 326
1302
+ 00:30:51,690 --> 00:30:58,570
1303
+ ูˆ ุจุทู„ุน ุงู„ z ุฅูŠุด ุจุณุงูˆูŠ 0.3 under 9 ุฅุฐุง ุงู„ z equal 0
1304
+
1305
+ 327
1306
+ 00:30:58,570 --> 00:31:04,370
1307
+ .3 under 9 ูู‡ุฐุง ุฅูŠุด ุจูŠุณุงูˆูŠ ุงู„ู„ูŠ
1308
+
1309
+ 328
1310
+ 00:31:04,370 --> 00:31:09,550
1311
+ ุจูŠุณุงูˆูŠ ุงู„ a minus eight over one halfุฃูˆ ุฅุฐุง ุชุฐูƒุฑ
1312
+
1313
+ 329
1314
+ 00:31:09,550 --> 00:31:14,410
1315
+ ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ ู‡ูˆ a ุจุณุงูˆูŠุฉ ู…ูŠูˆ ุฒุงุฆุฑ ุฒูŠ ุณูŠุฌู…ุง X bar
1316
+
1317
+ 330
1318
+ 00:31:14,410 --> 00:31:20,170
1319
+ ู†ูุณ ุงู„ู‚ุตุฉ ุฅุฐุง ู…ุง ุจุณุชุฎุฏู… ุงู„ equation ู‡ุฐู‡ ุฃูˆ ุฃุญูƒูŠ
1320
+
1321
+ 331
1322
+ 00:31:20,170 --> 00:31:25,370
1323
+ ุนู„ู‰ ุทูˆู„ a equal ู…ูŠูˆ plus ุฒูŠ ุณูŠุฌู…ุง X bar ุงู„ู…ูŠูˆุด
1324
+
1325
+ 332
1326
+ 00:31:25,370 --> 00:31:31,530
1327
+ ุจุณุงูˆูŠุฉ eight ูˆุงู„ุณูŠุฌู…ุง ูˆุงู„ุฒูŠ ุชุณุนุฉ ูˆุชู„ุงุชูŠู† ูˆุณูŠุฌู…ุง X
1328
+
1329
+ 333
1330
+ 00:31:31,530 --> 00:31:33,370
1331
+ bar ุทู„ุนู†ุงู‡ุง one half
1332
+
1333
+ 334
1334
+ 00:31:54,390 --> 00:31:59,910
1335
+ ู…ู…ูƒู† ุชูƒูˆู† ุงู„ู€ probability between two values ุงูˆ
1336
+
1337
+ 335
1338
+ 00:31:59,910 --> 00:32:08,130
1339
+ between a and b ุงูˆ upper tail ุงูˆ left tailุฃูˆ ููŠ
1340
+
1341
+ 336
1342
+ 00:32:08,130 --> 00:32:12,730
1343
+ ุจุนุถ ุงู„ุฃุญูŠุงู† ูุฅู† ุงู„ู…ุตุงุฏุฑ ุงู„ู…ุณุชุญูŠู„ุฉ ูˆู†ุจุญุซ ุนู† ู‚ูŠู…ุฉ A
1344
+
1345
+ 337
1346
+ 00:32:12,730 --> 00:32:17,390
1347
+ ู‡ุงูŠ ูƒู„ ุงู„ุฃููƒุงุฑ ุงู„ู…ู…ูƒู†ุฉ ู…ุงุนู†ุงุด ุฃูƒุชุฑ ู…ู† ู‡ูŠูƒ ููŠ ุฃูŠ
1348
+
1349
+ 338
1350
+ 00:32:17,390 --> 00:32:20,950
1351
+ ุณุคุงู„ ุญุชู‰
1352
+
1353
+ 339
1354
+ 00:32:20,950 --> 00:32:28,250
1355
+ ุงู„ุขู† ู†ุชุญุฏุซ ุนู† ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฅุฐุง ุชุชุฐูƒุฑ ููŠ
1356
+
1357
+ 340
1358
+ 00:32:28,250 --> 00:32:32,550
1359
+ ุงู„ุณู„ุงุณุฉ ุงู„ุฃูˆู„ู‰ ุฐูƒุฑู†ุง ุงู„ุจูŠุงู†ุงุช ุงู„ุชู‚ู„ูŠุฏูŠุฉ ู‡ู†ุงูƒ
1360
+
1361
+ 341
1362
+ 00:32:32,550 --> 00:32:39,660
1363
+ ุงุชุณุงุจู‚ูŠู† ุชู‚ู„ูŠุฏูŠุฉ ูˆุชู‚ู„ูŠุฏูŠุฉุงู„ู€ sample mean ู‡ูˆ ุงู„ู„ูŠ
1364
+
1365
+ 342
1366
+ 00:32:39,660 --> 00:32:51,100
1367
+ ู‚ู…ู†ุง ุจู‡ ูู‚ุท ู„ู„ุจูŠุงู†ุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1368
+
1369
+ 343
1370
+ 00:32:51,100 --> 00:32:51,840
1371
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1372
+
1373
+ 344
1374
+ 00:32:51,840 --> 00:32:51,840
1375
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1376
+
1377
+ 345
1378
+ 00:32:51,840 --> 00:32:51,860
1379
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1380
+
1381
+ 346
1382
+ 00:32:51,860 --> 00:32:51,860
1383
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1384
+
1385
+ 347
1386
+ 00:32:51,860 --> 00:32:51,940
1387
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1388
+
1389
+ 348
1390
+ 00:32:51,940 --> 00:32:53,460
1391
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1392
+
1393
+ 349
1394
+ 00:32:53,460 --> 00:32:53,460
1395
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1396
+
1397
+ 350
1398
+ 00:32:53,460 --> 00:32:54,780
1399
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1400
+
1401
+ 351
1402
+ 00:32:54,780 --> 00:32:57,200
1403
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ
1404
+
1405
+ 352
1406
+ 00:32:57,200 --> 00:33:04,300
1407
+ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…ูŠุฉ ุงู„ูƒู…
1408
+
1409
+ 353
1410
+ 00:33:04,920 --> 00:33:15,940
1411
+ ุงู„ู‚ูˆุงู„ุงุช ู„ูŠุณุช ููŠู‡ุง ุฃุฑู‚ุงู… ุณุฃู‚ุฏู…
1412
+
1413
+ 354
1414
+ 00:33:15,940 --> 00:33:20,660
1415
+ ูู‚ุท ุชู‚ุฑูŠุจู‹ุง ุนู† ู…ุฌุชู…ุน ุจุฑุจูˆุดู‡ุฒู† ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก
1416
+
1417
+ 355
1418
+ 00:33:20,660 --> 00:33:28,320
1419
+ ุงู„ู„ู‡ ุณู†ูƒู…ู„ ูƒู…ุง ุฐูƒุฑู†ุง ุนู…ุฑ ูˆุฑู‚ู…
1420
+
1421
+ 356
1422
+ 00:33:28,320 --> 00:33:30,760
1423
+ ูˆู‚ูŠู… ูˆุณุนูˆุฏูŠุฉ
1424
+
1425
+ 357
1426
+ 00:33:40,270 --> 00:33:46,030
1427
+ ู‡ุคู„ุงุก ู…ุซุงู„ูŠู† ู„ู„ุจูŠุงู†ุงุช
1428
+
1429
+ 358
1430
+ 00:33:46,030 --> 00:33:52,330
1431
+ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุฅุฐุง
1432
+
1433
+ 359
1434
+ 00:33:52,330 --> 00:33:57,710
1435
+ ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุชู‚ู„ูŠุฏูŠุฉ ุฃูˆ ุจูŠุงู†ุงุช ู†ู…ูŠุฐูŠุฉ ุซู…
1436
+
1437
+ 360
1438
+ 00:33:57,710 --> 00:34:00,110
1439
+ ู†ุณุชุทูŠุน ุงุณุชุฎุฏุงู… ู…ุตู…ู… ุงู„ุชุฌุงุฑุจ
1440
+
1441
+ 361
1442
+ 00:34:02,850 --> 00:34:06,470
1443
+ ุงู„ุนู†ูˆุงู† ุงู„ุณุงุจู„ ูŠุนู…ู„ ู…ุนู†ู‰ ุฅุฐุง ูƒุงู† ุงู„ู…ุนู„ูˆู…ุงุช ุนู…ู„ูŠุฉ
1444
+
1445
+ 362
1446
+ 00:34:06,470 --> 00:34:10,830
1447
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1448
+
1449
+ 363
1450
+ 00:34:10,830 --> 00:34:11,030
1451
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1452
+
1453
+ 364
1454
+ 00:34:11,030 --> 00:34:11,110
1455
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1456
+
1457
+ 365
1458
+ 00:34:11,110 --> 00:34:11,830
1459
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1460
+
1461
+ 366
1462
+ 00:34:11,830 --> 00:34:13,670
1463
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1464
+
1465
+ 367
1466
+ 00:34:13,670 --> 00:34:16,830
1467
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
1468
+
1469
+ 368
1470
+ 00:34:16,830 --> 00:34:30,170
1471
+ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุนู…ู„ูŠ
1472
+
1473
+ 369
1474
+ 00:34:30,610 --> 00:34:35,870
1475
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู„ุง ูŠูˆุฌุฏ ู‚ูŠู…ุฉ ู†ู…ุฑูŠูƒูŠุฉ ู„ู‡ุฐู‡ ุงู„ุฅุฌุงุจุฉุŒ
1476
+
1477
+ 370
1478
+ 00:34:35,870 --> 00:34:39,930
1479
+ ู„ุฐู„ูƒ ุงู„ุฅุฌุงุจุฉ ู„ุง ูŠุฌุจ ุฃู† ุชูƒูˆู† ู†ู…ุฑูŠูƒูŠุฉุŒ ูŠุฌุจ ุฃู† ุชูƒูˆู†
1480
+
1481
+ 371
1482
+ 00:34:39,930 --> 00:34:47,550
1483
+ ุฅู…ุง ู†ุนู… ุฃูˆ ู„ุง. ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู€ qualitative. ุฅุฐุง ุนู„ู‰
1484
+
1485
+ 372
1486
+ 00:34:47,550 --> 00:34:53,630
1487
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู‡ู†ุงูƒ ุฎู…ุณุฉ
1488
+
1489
+ 373
1490
+ 00:34:53,630 --> 00:34:57,730
1491
+ ุทู„ุงุจ ุณุฃู„ู†ุงู‡ู…
1492
+
1493
+ 374
1494
+ 00:34:57,730 --> 00:35:02,090
1495
+ ู‡ู„ ุชูุถู„ ู‚ู‡ูˆุฉ A ุฃูˆ BุŸูˆุฎู„ู‘ูŠู†ูŠ ุฃุญูƒูŠ ุฃู†ู†ุง ู…ู‡ุชู…ูŠู† ุจู€
1496
+
1497
+ 375
1498
+ 00:35:02,090 --> 00:35:09,150
1499
+ cafe A ุจุณ So suppose we have two types A or B and
1500
+
1501
+ 376
1502
+ 00:35:09,150 --> 00:35:15,010
1503
+ the question is do you prefer cafe A suppose 35
1504
+
1505
+ 377
1506
+ 00:35:15,010 --> 00:35:22,350
1507
+ students answer yes ุฎู…ุณุฉ ูˆ ุชู„ุงุชูŠู† ูˆุงุญุฏ ู…ู†ู‡ู… ุฌุงุจ
1508
+
1509
+ 378
1510
+ 00:35:22,350 --> 00:35:28,890
1511
+ ู†ุนู…ู…ุนู†ู‰ x ุงูŠู‚ุงู„ ุชู„ุช ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1512
+
1513
+ 379
1514
+ 00:35:28,890 --> 00:35:29,890
1515
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1516
+
1517
+ 380
1518
+ 00:35:29,890 --> 00:35:32,810
1519
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1520
+
1521
+ 381
1522
+ 00:35:32,810 --> 00:35:38,270
1523
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1524
+
1525
+ 382
1526
+ 00:35:38,270 --> 00:35:40,810
1527
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1528
+
1529
+ 383
1530
+ 00:35:40,810 --> 00:35:42,210
1531
+ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ ูˆุฎู…ุณ
1532
+
1533
+ 384
1534
+ 00:35:56,860 --> 00:36:10,180
1535
+ ู…ุซู„ ู†ุณุจุฉ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1536
+
1537
+ 385
1538
+ 00:36:10,180 --> 00:36:10,180
1539
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1540
+
1541
+ 386
1542
+ 00:36:10,180 --> 00:36:12,720
1543
+ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1544
+
1545
+ 387
1546
+ 00:36:12,720 --> 00:36:13,620
1547
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1548
+
1549
+ 388
1550
+ 00:36:13,620 --> 00:36:13,620
1551
+ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1552
+
1553
+ 389
1554
+ 00:36:13,620 --> 00:36:13,620
1555
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1556
+
1557
+ 390
1558
+ 00:36:13,620 --> 00:36:13,640
1559
+ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ
1560
+
1561
+ 391
1562
+ 00:36:13,640 --> 00:36:24,440
1563
+ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„ ู†ุณุจุฉ ู…ุซู„
1564
+
1565
+ 392
1566
+ 00:36:24,440 --> 00:36:31,150
1567
+ ู†ุณุจุฉmy fifth ู…ุธุจูˆุท ุจุนุฏ ูƒุฏู‡ ุฌุณู…ุช 35 ุนู„ู‰ 50 ูŠุนู†ูŠ
1568
+
1569
+ 393
1570
+ 00:36:31,150 --> 00:36:41,970
1571
+ ุฌุณู…ุช ุงู„ X ุนู„ู‰ N equals 0.7 ุณุงู…ุจู„
1572
+
1573
+ 394
1574
+ 00:36:41,970 --> 00:36:47,410
1575
+ ุงู„ุจุฑูˆุจุงุฑุด ู†ูุณู‡ was none of us ูˆู„ุง ูˆุงุญุฏ ู…ู†ู†ุง prefer
1576
+
1577
+ 395
1578
+ 00:36:47,410 --> 00:36:53,820
1579
+ A none of us prefer ูƒุงูุฉ AููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ู…ู‚ุงุฑู†ุฉ
1580
+
1581
+ 396
1582
+ 00:36:53,820 --> 00:37:01,080
1583
+ ุชู‚ุฑูŠุจู‹ุง X ุนู„ู‰ N ูˆู‡ูˆ ู†ุตู ู…ุซู„ู‹ุง
1584
+
1585
+ 397
1586
+ 00:37:01,080 --> 00:37:08,620
1587
+ ู…ุซู„ู‹ุง ุŒ ูุฅู† ุฌู…ูŠุนู†ุง ุฌู…ูŠุนู†ุง ู†ุญุจ ุงู„ูƒุงููŠู‡ ุŒ ู„ุฐู„ูƒ
1588
+
1589
+ 398
1590
+ 00:37:08,620 --> 00:37:15,840
1591
+ ู…ู‚ุงุฑู†ุฉ X ูŠู‚ู„ 50 ุนู„ู‰ 50 ู‡ูŠ ูˆุงุญุฏุฉ ุŒ ู„ุฐู„ูƒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†
1592
+
1593
+ 399
1594
+ 00:37:15,840 --> 00:37:23,950
1595
+ ู‡ุฐุง ุงู„ู…ู‚ุงุฑู†ุฉ ุฏุงุฆู…ู‹ุง ุจูŠู†0 ูˆ 1ุŒ ู‚ุฏ ุชูƒูˆู† 0 ูˆ ู‚ุฏ ุชูƒูˆู†
1596
+
1597
+ 400
1598
+ 00:37:23,950 --> 00:37:28,930
1599
+ 1ุŒ ู„ูƒู† ุฃูƒุชุฑ ู…ู† ุงู„ูˆู‚ุช ุจูŠู† 0 ูˆ 1 ุฅุฐุง ุงู„ู€ B ุฏุงูŠู…ู‹ุง
1600
+
1601
+ 401
1602
+ 00:37:28,930 --> 00:37:36,330
1603
+ non-negative ุจูŠู† 0 ูˆ 1ุŒ ุงู„ู€ range ุชุจุนู‡ุง ุจูŠู† 0 ูˆ 1ุŒ
1604
+
1605
+ 402
1606
+ 00:37:36,330 --> 00:37:39,590
1607
+ ู„ุง ูŠูˆุฌุฏ probability ุชูƒูˆู† ู†ูŠุฌุงุชูŠุจุŒ ุฅู…ุง ุฃู†ูƒ ุชูุถู„ุŒ
1608
+
1609
+ 403
1610
+ 00:37:39,590 --> 00:37:45,630
1611
+ ุฅุฐุง ู„ู… ุชูุถู„ุŒ ูŠุนู†ูŠ ุจูŠู‚ู„ 0ุŒ ู„ูƒู† ู‚ูŠู…ุฉ ุฃุนู„ู‰ 1ุŒ ูู‚ูŠู…ุฉ
1612
+
1613
+ 404
1614
+ 00:37:45,630 --> 00:37:52,010
1615
+ ุฃุนู„ู‰ ู„ุง ุชุชุฌุงูˆุฒ 1ุŒ ุนู…ุฑู‡ุง ุจุฒูŠุฏ ุนู† 1ุฏุงุฆู…ุง ุงู„ B ุจูŠู† 0
1616
+
1617
+ 405
1618
+ 00:37:52,010 --> 00:37:57,970
1619
+ ูˆ 1 ู†ูุณ ุงู„ูˆู‚ุช ุณุฃู‚ูˆู… ุจุงุณุชู…ุฑุงุฑ ูˆ ุฃุนุทูŠ ู†ุณุจุฉ ุงู„ุชุฌุงุฑุจ
1620
+
1621
+ 406
1622
+ 00:37:57,970 --> 00:37:59,210
1623
+ ู†ุณุจุฉ ุงู„ู…ุฌุชู…ุน
1624
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/tIdM6v2P4CM.srt ADDED
@@ -0,0 +1,755 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+
2
+ 1
3
+ 00:00:20,690 --> 00:00:22,730
4
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… I will
5
+
6
+ 2
7
+ 00:00:22,730 --> 00:00:28,110
8
+ continue the practice problems for chapter 7 I
9
+
10
+ 3
11
+ 00:00:28,110 --> 00:00:31,850
12
+ will start with 22 so I will just go back very
13
+
14
+ 4
15
+ 00:00:31,850 --> 00:00:36,550
16
+ quickly to the three problems we did for the two
17
+
18
+ 5
19
+ 00:00:36,550 --> 00:00:40,690
20
+ problems actually we did last time 22 and 23 then
21
+
22
+ 6
23
+ 00:00:40,690 --> 00:00:45,030
24
+ I will go for number 24 and 25 after that I will
25
+
26
+ 7
27
+ 00:00:45,030 --> 00:00:47,110
28
+ give a quiz number 2 again
29
+
30
+ 8
31
+ 00:00:50,570 --> 00:00:56,130
32
+ ู„ู„ู†ู…ุจุฑ 22 ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุช. ูˆู‚ุช ู…ุถู‰ ู„ู„ุฏุฑุงุณุฉ ู…ู†
33
+
34
+ 9
35
+ 00:00:56,130 --> 00:01:01,190
36
+ ุทุฑู ุงู„ุทู„ุงุจ ููŠ ุงู„ุฃุณุจูˆุน ู‚ุจู„ ุงู„ุงุฎุชุจุงุฑุงุช ุงู„ู†ู‡ุงุฆูŠุฉ ุชุชุจุน
37
+
38
+ 10
39
+ 00:01:01,190 --> 00:01:06,910
40
+ ุชูˆุฒูŠุนู‹ุง ุทุจูŠุนูŠู‹ุง ุจุดูƒู„ ุนุงุฏู„ ู…ู† 8 ุณุงุนุฉ. ูููŠ ู‡ุฐุง ุงู„ุณูŠู†ุงุฑูŠูˆ
41
+
42
+ 11
43
+ 00:01:06,910 --> 00:01:08,290
44
+ ุณูŠุฌู…ุง ุฃูƒุจุฑ ู…ู† 8
45
+
46
+ 12
47
+ 00:01:11,060 --> 00:01:21,560
48
+ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹
49
+
50
+ 13
51
+ 00:01:21,560 --> 00:01:38,360
52
+ ู…ุซู„ุงู‹
53
+
54
+ 14
55
+ 00:01:38,360 --> 00:01:38,560
56
+ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹
57
+
58
+ 15
59
+ 00:01:38,560 --> 00:01:38,580
60
+ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹
61
+
62
+ 16
63
+ 00:01:38,580 --> 00:01:38,600
64
+ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹ ู…ุซู„ุงู‹
65
+
66
+ 17
67
+ 00:01:45,340 --> 00:01:48,500
68
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
69
+
70
+ 18
71
+ 00:01:48,500 --> 00:01:48,780
72
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
73
+
74
+ 19
75
+ 00:01:48,780 --> 00:01:52,420
76
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
77
+
78
+ 20
79
+ 00:01:52,420 --> 00:01:56,160
80
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
81
+
82
+ 21
83
+ 00:01:56,160 --> 00:01:57,580
84
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
85
+
86
+ 22
87
+ 00:01:57,580 --> 00:01:59,420
88
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
89
+
90
+ 23
91
+ 00:01:59,420 --> 00:01:59,920
92
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
93
+
94
+ 24
95
+ 00:01:59,920 --> 00:02:08,460
96
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุง
97
+
98
+ 25
99
+ 00:02:10,350 --> 00:02:14,030
100
+ ุงู„ู…ุดูƒู„ุฉ ุชุจุฏูˆ ู…ุซู„ุงู‹ุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู…ุนู†ู‰ุŒ ุฃู†ุง ุฃุนู†ูŠ
101
+
102
+ 26
103
+ 00:02:14,030 --> 00:02:18,930
104
+ ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ ู…ูŠูˆุŒ ุงู„ุขู† x ุจุงุฑ ุชุชุฌู‡ ุฅู„ู‰ ู…ูŠูˆ ุจู€ุฃูƒุซุฑ ู…ู†
105
+
106
+ 27
107
+ 00:02:18,930 --> 00:02:28,970
108
+ 2 ุฏู‚ูŠู‚ุฉุŒ 2 ุณุงุนุชูŠู† ุชุชุฌู‡ ุฅู„ู‰ ู…ูŠูˆ ุจู€ุฃูƒุซุฑ ู…ู† 2 ุณุงุนุชูŠู†ุŒ
109
+
110
+ 28
111
+ 00:02:28,970 --> 00:02:32,290
112
+ ู„ุฐู„ูƒ ุงู„ุณุคุงู„ ู‡ูˆ x ุจุงุฑ ุชุชุฌู‡ ุฅู„ู‰ ู…ูŠูˆ ุจู€ุฃูƒุซุฑ ู…ู† 2
113
+
114
+ 29
115
+ 00:02:32,290 --> 00:02:36,830
116
+ ุณุงุนุชูŠู†ุŒ ุงู„ุขู† ุนู„ู‰ ุงู„ูŠุณุงุฑ ู„ุฏูŠู†ุง ู…ูŠูˆุŒ ู‚ุจู„ ุฐู„ูƒ ู„ุฏูŠู†ุง
117
+
118
+ 30
119
+ 00:02:36,830 --> 00:02:41,530
120
+ ู…ูŠูˆ ุจู„ุณ ูˆุงุญุฏุŒ ุจุนุฏ ุฐู„ูƒ ู…ุงุฐุง ู„ุฏูŠู†ุงุŸ ู…ูŠูˆ ุจู„ุณ 2 ุซู…
121
+
122
+ 31
123
+ 00:02:41,530 --> 00:02:43,670
124
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
125
+
126
+ 32
127
+ 00:02:43,670 --> 00:02:43,930
128
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
129
+
130
+ 33
131
+ 00:02:43,930 --> 00:02:45,950
132
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
133
+
134
+ 34
135
+ 00:02:45,950 --> 00:02:48,290
136
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
137
+
138
+ 35
139
+ 00:02:48,290 --> 00:02:49,930
140
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
141
+
142
+ 36
143
+ 00:02:49,930 --> 00:02:54,270
144
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
145
+
146
+ 37
147
+ 00:02:54,270 --> 00:03:01,130
148
+ ุซู„ุงุซุฉ
149
+
150
+ 38
151
+ 00:03:11,160 --> 00:03:14,880
152
+ ุฒูŠ is just x ุจุงุฑ minus the mean of x bar divided
153
+
154
+ 39
155
+ 00:03:14,880 --> 00:03:21,020
156
+ by sigma of x bar. Now the mean of x bar equals mu
157
+
158
+ 40
159
+ 00:03:21,020 --> 00:03:28,420
160
+ this is unknown while sigma of x bar sigma over
161
+
162
+ 41
163
+ 00:03:28,420 --> 00:03:32,840
164
+ square root of n. sigma
165
+
166
+ 42
167
+ 00:03:32,840 --> 00:03:36,460
168
+ is four is eight. n is four so eight divided by
169
+
170
+ 43
171
+ 00:03:36,460 --> 00:03:39,420
172
+ square root of four is two so eight over two is
173
+
174
+ 44
175
+ 00:03:39,420 --> 00:03:46,970
176
+ four. ู„ุฐู„ูƒ ู†ู‚ู„ ู‡ุฐุง ุฅู„ู‰ ู…ู‚ุงุฑู†ุฉ Z ู†ุญุตู„ ุนู„ู‰ X ุจุงุฑ ูŠูƒูˆู†
177
+
178
+ 45
179
+ 00:03:46,970 --> 00:03:52,070
180
+ Z. ูˆู…ุน ุฐู„ูƒ ู…ูŠูˆ ุจู„ุณ ุฃูƒุซุฑ ู…ู† ู…ู‚ุงุฑู†ุฉ Z. ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ
181
+
182
+ 46
183
+ 00:03:52,070 --> 00:03:52,350
184
+ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
185
+
186
+ 47
187
+ 00:03:52,350 --> 00:03:52,470
188
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
189
+
190
+ 48
191
+ 00:03:52,470 --> 00:03:52,770
192
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
193
+
194
+ 49
195
+ 00:03:52,770 --> 00:03:53,270
196
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
197
+
198
+ 50
199
+ 00:03:53,270 --> 00:03:55,810
200
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
201
+
202
+ 51
203
+ 00:03:55,810 --> 00:04:04,590
204
+ ู…ู‚ุงุฑู†ุฉ
205
+
206
+ 52
207
+ 00:04:04,590 --> 00:04:13,470
208
+ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ ุงู„ุฏุฑุฌุฉ ุงู„ุซุงู†ูŠุฉ ู‡ูŠ z ุฃูƒุจุฑ ู…ู† ู…ูŠูˆ
209
+
210
+ 53
211
+ 00:04:13,470 --> 00:04:14,870
212
+ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ
213
+
214
+ 54
215
+ 00:04:14,870 --> 00:04:16,330
216
+ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ
217
+
218
+ 55
219
+ 00:04:16,330 --> 00:04:18,350
220
+ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ
221
+
222
+ 56
223
+ 00:04:18,350 --> 00:04:19,530
224
+ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ
225
+
226
+ 57
227
+ 00:04:19,530 --> 00:04:23,310
228
+ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ
229
+
230
+ 58
231
+ 00:04:23,310 --> 00:04:23,650
232
+ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ
233
+
234
+ 59
235
+ 00:04:23,650 --> 00:04:34,350
236
+ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต ู…ูŠูˆ ู†ุงู‚ุต
237
+
238
+ 60
239
+ 00:04:39,040 --> 00:04:45,400
240
+ ุงุทู„ุน ุนู„ู‰ ุงู„ู†ุต ุนุดุงู† ุชุฌุงูˆุจ ุชุจุนู‡ุง ู…ู† ุงู„ table ุนู†ุฏ
241
+
242
+ 61
243
+ 00:04:45,400 --> 00:05:05,100
244
+ ุงู„ู†ุต. ุฅูŠุด ุจุชุณุงูˆูŠ 6915 0.3085 0.3085 that's
245
+
246
+ 62
247
+ 00:05:05,100 --> 00:05:13,470
248
+ for 22 straightforward. ุฃูŠ ุณุคุงู„ุŸ ุซุงู†ูŠู‹ุง 23 ุชูุถู„ ุฅู„ู‰
249
+
250
+ 63
251
+ 00:05:13,470 --> 00:05:17,610
252
+ ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ. ู…ุงุฐุง ู‡ูŠ ุงู„ู…ูุฑูˆุถ ุฃู† ุงู„ู…ุนุงู…ู„ุฉ ูŠุนู†ูŠ ู…ุฑุฉ
253
+
254
+ 64
255
+ 00:05:17,610 --> 00:05:26,910
256
+ ุฃุฎุฑู‰. X ุจุงุฑ ู‡ูŠ ุฃูƒุซุฑ ุฃูƒุซุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช. ุซู„ุงุซ ุณุงุนุงุช
257
+
258
+ 65
259
+ 00:05:26,910 --> 00:05:35,730
260
+ ุชุญุช ุงู„ู…ุฌุชู…ุน. ุชุญุช ู…ูŠูˆ. ู…ุฑุฉ ุฃุฎุฑู‰. ุงุฎุชูŠุงุฑ
261
+
262
+ 66
263
+ 00:05:43,600 --> 00:05:49,740
264
+ ู‡ุฐุง ู…ูŠูˆ. ุงูƒุณ ุจุงุฑ ุฃูƒุซุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุชุญุช ุงู„ู…ุตุทู„ุญ. ุชุญุช
265
+
266
+ 67
267
+ 00:05:49,740 --> 00:05:53,720
268
+ ุงู„ู…ุตุทู„ุญ. ู‡ุฐุง ู…ุตุทู„ุญ. ุงู„ู…ุตุทู„ุญ ุชุญุช ุงู„ู…ุตุทู„ุญ ูŠุนู†ูŠ ู…ุตุทู„ุญ
269
+
270
+ 68
271
+ 00:05:53,720 --> 00:05:54,020
272
+ ุชุญุช ุงู„ู…ุตุทู„ุญ ูู‡ูˆ ู…ุตุทู„ุญ ุฃูƒุซุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุชุญุช
273
+
274
+ 69
275
+ 00:05:54,020 --> 00:06:03,140
276
+ ุงู„ู…ุตุทู„ุญ ูู‡ูˆ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ุฃูƒุซุฑ
277
+
278
+ 70
279
+ 00:06:03,140 --> 00:06:08,300
280
+ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุชุญุช ุงู„ู…ุตุทู„ุญ. ู‡ุฐุง ู…ุตุทู„ุญ ู…ุตุทู„ุญ ุฃูƒุซุฑ ู…ู†
281
+
282
+ 71
283
+ 00:06:08,300 --> 00:06:13,100
284
+ ุซู„ุงุซ ุณุงุนุงุช ุชุญุช ุงู„ู…ุตุทู„ุญ. ู…ุงุฐุง ุชุญุช ู…ูŠูˆ ู†ุงู‚ุต ุซู„ุงุซุŸ
285
+
286
+ 72
287
+ 00:06:13,100 --> 00:06:18,620
288
+ ู†ุงู‚ุต ุฃุฑุจุน. ู†ุงู‚ุต ุฎู…ุณ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ. ูˆุนู„ู‰ ุฃุนู„ู‰ ู†ุงู‚ุต
289
+
290
+ 73
291
+ 00:06:18,620 --> 00:06:20,060
292
+ ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู† ุฃูˆ ุงุซู†ูŠู† ู†ุงู‚ุต ุงุซู†ูŠู†
293
+
294
+ 74
295
+ 00:06:20,060 --> 00:06:20,160
296
+ ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†
297
+
298
+ 75
299
+ 00:06:20,160 --> 00:06:22,920
300
+ ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†
301
+
302
+ 76
303
+ 00:06:22,920 --> 00:06:26,000
304
+ ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†
305
+
306
+ 77
307
+ 00:06:26,000 --> 00:06:31,480
308
+ ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต ุงุซู†ูŠู†
309
+
310
+ 78
311
+ 00:06:31,480 --> 00:06:36,870
312
+ ู†ุงู‚ุต ุงุซู†ูŠู†. ู†ุงู‚ุต more than three hours ุฃูƒุซุฑ ู…ู†
313
+
314
+ 79
315
+ 00:06:36,870 --> 00:06:40,510
316
+ ุซู„ุงุซ ุณุงุนุงุช. ุฃู‚ู„ ู…ู† ุงู„ู…ูŠู†. ู„ู‚ู‰ ุงู„ุฃูƒุซุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช.
317
+
318
+ 80
319
+ 00:06:40,510 --> 00:06:43,070
320
+ ุงู„ุฃู‚ู„ ู…ู† ุงู„ู…ูŠู† ุจุชูƒูˆู† ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูˆู„ุง ู…ูŠูˆ ู†ุงู‚ุต
321
+
322
+ 81
323
+ 00:06:43,070 --> 00:06:46,870
324
+ ุฃุฑุจุนุฉ. ุงู„ุฃุฑุจุนุฉ.
325
+
326
+ 82
327
+ 00:06:46,870 --> 00:06:52,570
328
+ ุฃู†ุช ุจุชุญูƒูŠ below ูˆุจุนุฏูŠู† more. ู„ู…ุง ุจุญูƒูŠ ุฃูƒุซุฑ ู…ู† ุซู„ุงุซ
329
+
330
+ 83
331
+ 00:06:52,570 --> 00:06:57,010
332
+ ุณุงุนุงุช. ุฃู‚ู„ ู…ู† ุงู„ู…ูŠู†. ู„ู…ุง ุจุญูƒูŠ ุฃู† ุฃู†ุง ู…ุตุฑูˆู ูŠุง ุฌุงู„
333
+
334
+ 84
335
+ 00:06:57,010 --> 00:07:02,580
336
+ ู…ู†ูƒ. ุฃุจุทู„ู‡ุง ุชุดูƒู„ ุฅูŠุด ู…ุนู†ุงู‡ุŸ ุฃู†ู‡ ..ุฃู‚ู„ ุจูŠุตูŠุฑ ุฃู‚ู„ ุจู€ 2
337
+
338
+ 85
339
+ 00:07:02,580 --> 00:07:09,060
340
+ ูˆู„ุง ุฃู‚ู„ ุจู€ 1 ูˆู„ุง ุฃู‚ู„ ุจู€ 4. ู…ุตุฑูˆู ุฃู‚ู„ ู…ู†ูƒ ุจู€ 3 ุดูƒู„ ู…ุนู†ุงู‡
341
+
342
+ 86
343
+ 00:07:09,060 --> 00:07:16,600
344
+ ุฃู†ุช ู…ุตุฑูˆููƒ X ู‡ูŠูƒูˆู† ุฃู†ุง X ู†ุงู‚ุต 4 ูˆู„ุง 2. ุงู„ู€ 4
345
+
346
+ 87
347
+ 00:07:16,600 --> 00:07:21,880
348
+ ุงู„ุจุนุฏ ู‡ูŠูƒ ูˆุจูŠุญูƒูŠ more than three hours below as
349
+
350
+ 88
351
+ 00:07:21,880 --> 00:07:24,220
352
+ in ู‡ุงูŠ ุงู„ area. ู„ุญุธุฉ ุฃู†ุง 100 ู†ุงู‚ุต 4 ุชุจูŠู† ุฅูŠุด
353
+
354
+ 89
355
+ 00:07:24,220 --> 00:07:29,480
356
+ ู…ูˆุฌูˆุฏุŸ ูˆู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู†. ุทุจ ู„ูˆ ุฎุฏุช ุงู„ู€ right ุฅูŠุด
357
+
358
+ 90
359
+ 00:07:29,480 --> 00:07:34,280
360
+ ู‡ูŠุทู„ุน ุฅู†ู‡ ู…ุตุฑูˆู ู…ุด ุฃู‚ู„ ุจู€ 3 ู…ุด ุฃูƒุซุฑ ุจู€ 3 ุตุงุฑ
361
+
362
+ 91
363
+ 00:07:34,280 --> 00:07:37,760
364
+ ุฃู‚ู„. ุตุงุฑ ุงุซู†ูŠู† ูˆูˆุงุญุฏ ูˆูƒุฐุง. ู…ุธุจูˆุท ู„ุบุงูŠุฉ ู†ูุณ ุงู„ู…ูŠู†
365
+
366
+ 92
367
+ 00:07:37,760 --> 00:07:39,900
368
+ ุจุงู„ุถุจุท. ู„ุฐุง ุงู„ area where you want to go to the
369
+
370
+ 93
371
+ 00:07:39,900 --> 00:07:46,780
372
+ left. so X ุจุงุฑ. ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู†. X bar less than ู…ูŠูˆ
373
+
374
+ 94
375
+ 00:07:46,780 --> 00:07:51,820
376
+ ู†ุงู‚ุต ุงุซู†ูŠู†. ู…ุซู„ุงู‹ ู…ุงุฐุง ูุนู„ู†ุง ู‚ุจู„ ุฐู„ูƒ. ุชุบูŠุฑ ู…ู‚ุงุฑู†ุฉ
377
+
378
+ 95
379
+ 00:07:51,820 --> 00:08:04,720
380
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
381
+
382
+ 96
383
+ 00:08:14,200 --> 00:08:21,720
384
+ ุงู„ุขู† ู…ู† ุงู„ูƒู…ุจูŠูˆุชุฑ ุณุชุญุตู„ ุนู„ู‰ ู†ู‚ุทุฉ 2266
385
+
386
+ 97
387
+ 00:08:21,720 --> 00:08:30,320
388
+ ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ
389
+
390
+ 98
391
+ 00:08:30,320 --> 00:08:32,480
392
+ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰
393
+
394
+ 99
395
+ 00:08:32,480 --> 00:08:32,540
396
+ ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ
397
+
398
+ 100
399
+ 00:08:32,540 --> 00:08:35,260
400
+ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ
401
+
402
+ 101
403
+ 00:08:35,260 --> 00:08:35,400
404
+ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰
405
+
406
+ 102
407
+ 00:08:35,400 --> 00:08:36,640
408
+ ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ
409
+
410
+ 103
411
+ 00:08:36,640 --> 00:08:44,530
412
+ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. ู…ุฑุฉ ุฃุฎุฑู‰. differs from when we are
413
+
414
+ 104
415
+ 00:08:44,530 --> 00:08:48,310
416
+ talking about. differs it means either greater than
417
+
418
+ 105
419
+ 00:08:48,310 --> 00:08:56,290
420
+ or smaller than the population mean by by be
421
+
422
+ 106
423
+ 00:08:56,290 --> 00:09:01,770
424
+ careful. differs means plus or minus. differs means
425
+
426
+ 107
427
+ 00:09:01,770 --> 00:09:10,110
428
+ plus or minus from the population by less by
429
+
430
+ 108
431
+ 00:09:10,110 --> 00:09:11,470
432
+ less than
433
+
434
+ 109
435
+ 00:09:14,360 --> 00:09:20,480
436
+ 2 ุณุงุนุชูŠู† ู‚ู„ู„ูŠ ุนู†ู‡ ุจุณุงุนุชูŠู†ุŒ ุฑูƒุฒ ุดูˆูŠุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
437
+
438
+ 110
439
+ 00:09:20,480 --> 00:09:23,540
440
+ ู‡ุฐุง
441
+
442
+ 111
443
+ 00:09:23,540 --> 00:09:29,860
444
+ ู…ูŠูˆ. ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูˆู…ูŠูˆ ุจู„ุณ ุงุซู†ูŠู†. ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡
445
+
446
+ 112
447
+ 00:09:29,860 --> 00:09:33,500
448
+ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ. ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ
449
+
450
+ 113
451
+ 00:09:33,500 --> 00:09:34,780
452
+ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ ูŠุฎุชู„ู
453
+
454
+ 114
455
+ 00:09:34,780 --> 00:09:36,700
456
+ ู…ู† ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ
457
+
458
+ 115
459
+ 00:09:36,700 --> 00:09:37,240
460
+ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู†ุงู‚ุต
461
+
462
+ 116
463
+ 00:09:37,240 --> 00:09:38,640
464
+ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ูู‡ูˆ ูŠุฎุชู„ู
465
+
466
+ 117
467
+ 00:09:38,640 --> 00:09:40,360
468
+ ู…ู†
469
+
470
+ 118
471
+ 00:09:43,600 --> 00:09:48,400
472
+ ุฃู‚ู„ ู…ู† 2 ุณุงุนุฉ. ุฏุนูˆู†ุง
473
+
474
+ 119
475
+ 00:09:48,400 --> 00:09:52,140
476
+ ู†ู†ุธุฑ ุฅู„ู‰ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ู€ upper tail. ู…ูŠูˆ ุจู„ุณ 2 ุฏุงุฎู„
477
+
478
+ 120
479
+ 00:09:52,140 --> 00:09:55,660
480
+ ุงู„ู…ู†ุทู‚ุฉ ูˆุงู„ุชุงู„ูŠ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ูŠูˆ ุจู„ุณ 3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ.
481
+
482
+ 121
483
+ 00:09:55,660 --> 00:09:59,960
484
+ ู…ุง ู†ุจุญุซ ุนู†ู‡ ุฃู‚ู„ ู…ู† 2 ุณุงุนุงุช.
485
+
486
+ 122
487
+ 00:10:03,650 --> 00:10:06,490
488
+ is outside of the area we are looking for. ูˆุงุถุญุŸ
489
+
490
+ 123
491
+ 00:10:06,490 --> 00:10:09,510
492
+ ุฅุฐุง ุงู„ู€ mu plus 3 ู…ุด ุนุงูŠุฒู‡ุง. ู„ูˆ ุฃู†ุง ุนุงูŠุฒู‡ุง ุฅูŠุด
493
+
494
+ 124
495
+ 00:10:09,510 --> 00:10:14,590
496
+ ู‡ุชูƒูˆู†ุŸ ุฃู‚ู„. ุฅุฐุง ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃู‚ู„ุŒ ู‡ู…ุดูŠ ูƒุฏู‡ุŒ ู…ุธุจูˆุทุŸ
497
+
498
+ 125
499
+ 00:10:14,590 --> 00:10:18,750
500
+ ู‡ู…ุดูŠ ู„ุบุงูŠุฉ ู‡ู†ุง ูˆู„ุง ู‡ูƒู…ู„ุŸ less than two hoursุŒ
501
+
502
+ 126
503
+ 00:10:18,750 --> 00:10:24,290
504
+ ุงู„ุฑูƒุฒ ูƒูˆูŠุณ ู‡ูŠ ู…ูŠูˆ ุจู„ุณ ุงุซู†ูŠู†ุŒ ู…ูŠูˆ ุจู„ุณ ูˆุงุญุฏุŒ ู‡ู†ุง ู…ูŠูˆุŒ
505
+
506
+ 127
507
+ 00:10:24,290 --> 00:10:31,130
508
+ ุฅูŠุด ู…ุด ุจุนุฏู‡ุงุŸ ู…ูŠูˆ ู†ุงู‚ุต ูˆุงุญุฏ ูˆู‡ุฐุง ุจุฑุฏู‡ ุฃู‚ู„ุŒ ู…ุดูŠูƒุŸ
509
+
510
+ 128
511
+ 00:10:31,130 --> 00:10:40,040
512
+ ู„ุบุงูŠุฉ ู…ุง ุชุตู„ ู…ูŠู†ุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู‡ุชุด ุจุชุณุงูˆูŠุŸ
513
+
514
+ 129
515
+ 00:10:40,040 --> 00:10:46,360
516
+ ู…ูŠู†ูุน ุฃุฎุด
517
+
518
+ 130
519
+ 00:10:46,360 --> 00:10:50,160
520
+ ู„ู„ุงุฎุฑุŸ ู‡ุชุด ุจุชุณุงูˆูŠุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู‡ุชุด ุจุชุณุงูˆูŠุŸ
521
+
522
+ 131
523
+ 00:10:50,160 --> 00:10:54,860
524
+ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ
525
+
526
+ 132
527
+ 00:10:54,860 --> 00:10:55,660
528
+ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ
529
+
530
+ 133
531
+ 00:10:55,660 --> 00:10:59,200
532
+ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุฃุฎุด ู„ู„ุงุฎุฑุŸ
533
+
534
+ 134
535
+ 00:10:59,200 --> 00:10:59,260
536
+ ู…ูŠู†
537
+
538
+ 135
539
+ 00:11:05,510 --> 00:11:12,050
540
+ ุงู„ุขู† ู†ุจุญุซ ุนู† ู…ูŠูˆ. ุงูƒุณ ุจุงุฑ ุจูŠู† ู…ูŠูˆ ู†ุงู‚ุต ุฃูˆ ู…ูŠูˆ ุจู„ุณ
541
+
542
+ 136
543
+ 00:11:12,050 --> 00:11:15,330
544
+ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ
545
+
546
+ 137
547
+ 00:11:15,330 --> 00:11:17,630
548
+ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ
549
+
550
+ 138
551
+ 00:11:17,630 --> 00:11:19,130
552
+ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ
553
+
554
+ 139
555
+ 00:11:19,130 --> 00:11:20,930
556
+ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠ๏ฟฝ๏ฟฝ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ
557
+
558
+ 140
559
+ 00:11:20,930 --> 00:11:28,590
560
+ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ ู…ูŠูˆ
561
+
562
+ 141
563
+ 00:11:28,590 --> 00:11:37,470
564
+ ุจู„ุณ ุฃูˆ ู…ูŠูˆ ุจู„ุณ ุฃูˆ . ู†ุจุฏุฃ ู…ู† ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ู…ูŠูˆ ุจู„ุณ
565
+
566
+ 142
567
+ 00:11:37,470 --> 00:11:42,150
568
+ ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู†
569
+
570
+ 143
571
+ 00:11:42,150 --> 00:11:43,930
572
+ ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู†
573
+
574
+ 144
575
+ 00:11:43,930 --> 00:11:48,110
576
+ ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู†
577
+
578
+ 145
579
+ 00:11:48,110 --> 00:11:48,650
580
+ ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู†
581
+
582
+ 146
583
+ 00:11:48,650 --> 00:11:48,730
584
+ ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู†
585
+
586
+ 147
587
+ 00:11:48,730 --> 00:11:52,370
588
+ ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ุงุซู†ูŠู† ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ
589
+
590
+ 148
591
+ 00:11:52,370 --> 00:11:57,210
592
+ ุงู„ุดู…ูˆู„ูŠุฉ ุงู„ุชูŠ ู†ุจุญุซ ุนู†ู‡ุง ุงู„ุขู† ู„ุฅูŠุฌุงุฏ ู…ู‚ุงุฑู†ุฉ z ูƒู…ุง
593
+
594
+ 149
595
+ 00:11:57,210 --> 00:12:02,010
596
+ ุฐูƒุฑู†ุงู‡ ู‚ุจู„ ุฐู„ูƒ. ูู‚ุท ุงุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ equal to x
597
+
598
+ 150
599
+ 00:12:02,010 --> 00:12:05,210
600
+ ุจุงุฑ minus the mean of x bar over sigma of x bar
601
+
602
+ 151
603
+ 00:12:05,210 --> 00:12:09,910
604
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ุฐุง ุจูŠ ู…ูŠูˆ ู†ุงู‚ุต ุงุซู†ูŠู† ู†ุงู‚ุต ุงุซู†ูŠู† ู†ุงู‚ุต
605
+
606
+ 152
607
+ 00:12:09,910 --> 00:12:18,870
608
+ ู…ูŠูˆ over sigma of x bar. ู‡ุฐุง ู…ู‚ุงุฑู†ุฉ z. ู‡ุฐุง
609
+
610
+ 153
611
+ 00:12:18,870 --> 00:12:26,280
612
+ ูŠุนู†ูŠ ู…ูŠูˆ ู…ู‚ูู„ ู…ู† ู†ุตู ุฅู„ู‰ ู†ุตู. ู†ุตู
613
+
614
+ 154
615
+ 00:12:26,280 --> 00:12:33,220
616
+ ู†ุตู
617
+
618
+ 155
619
+ 00:12:33,220 --> 00:12:34,300
620
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
621
+
622
+ 156
623
+ 00:12:34,300 --> 00:12:39,500
624
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
625
+
626
+ 157
627
+ 00:12:39,500 --> 00:12:41,360
628
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
629
+
630
+ 158
631
+ 00:12:41,360 --> 00:12:41,380
632
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
633
+
634
+ 159
635
+ 00:12:41,380 --> 00:12:44,000
636
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุต
637
+
638
+ 160
639
+ 00:12:51,140 --> 00:12:57,180
640
+ P of Z less than one half as
641
+
642
+ 161
643
+ 00:12:57,180 --> 00:13:02,780
644
+ we did before. ุฃู‚ู„ ู…ู† ู†ุต. ุฃู‚ู„ ู…ู† ุณุงู„ุจ ู†ุต ุชู„ู‚ุงู‡ุง ููŠ
645
+
646
+ 162
647
+ 00:13:02,780 --> 00:13:11,260
648
+ ุงู„ู€ table ุงู„ู„ูŠ ุฑุงูŠุญูƒ point 6915 ุงู„ู„ูŠ
649
+
650
+ 163
651
+ 00:13:11,260 --> 00:13:15,700
652
+ ุทู„ุน ู‡ู†ุง ุดูˆูŠุฉ ุฃูˆ ุงู„ complement ุงู„ู„ูŠ ู‡ู†ุง ุจุทู„ุน ุฌูˆุง
653
+
654
+ 164
655
+ 00:13:15,700 --> 00:13:20,040
656
+ point 383. ุฎู„ุงุต
657
+
658
+ 165
659
+ 00:13:20,950 --> 00:13:33,150
660
+ ู‡ุฐุง ุชูˆู‚ูู†ุง ุนู†ุฏู‡ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ. So
661
+
662
+ 166
663
+ 00:13:33,150 --> 00:13:38,290
664
+ again in this question we are asking about the
665
+
666
+ 167
667
+ 00:13:38,290 --> 00:13:43,090
668
+ probability that the sample mean differs from the
669
+
670
+ 168
671
+ 00:13:43,090 --> 00:13:47,930
672
+ population mean by less than two hours. So what
673
+
674
+ 169
675
+ 00:13:47,930 --> 00:13:53,360
676
+ should you do first step. locate over all mean the
677
+
678
+ 170
679
+ 00:13:53,360 --> 00:13:58,500
680
+ population mean then differs it means mu minus and
681
+
682
+ 171
683
+ 00:13:58,500 --> 00:14:05,180
684
+ mu plus. it ask less than two hours. ุฃู‚ู„ ู…ู† ุณุงุนุชูŠู†
685
+
686
+ 172
687
+ 00:14:05,180 --> 00:14:09,900
688
+ ู…ูŠู† ุงู„ุฃู‚ู„ ู…ู† ุณุงุนุชูŠู†. ุฃูŠ ุญุฏ ุฌุงุจ ุงู„ุงุชู†ูŠู† ู„ุบุงูŠุฉ ู‡ู†ุง ุฏู‡
689
+
690
+ 173
691
+ 00:14:09,900 --> 00:14:1
692
+
693
+ 216
694
+ 00:17:44,120 --> 00:17:55,180
695
+ ู‡ุฐุง ู†ูุณ ุงู„ุดูŠุกุŒ ูุฅุฌุงุจุฉ ุงู„ุฃุฎูŠุฑุฉ 0.4533 ุชู‚ุฑูŠุจู‹ุง 32133
696
+
697
+ 217
698
+ 00:17:55,180 --> 00:18:05,920
699
+ ุฃูˆ 32133ุŒ ูุฅุฌุงุจุฉ ุงู„ู…ู‚ุงุฑู†ุฉ 0.4532 ุฃูˆ 4333 ุฃูŠ
700
+
701
+ 218
702
+ 00:18:05,920 --> 00:18:06,460
703
+ ุณุคุงู„ุŸ
704
+
705
+ 219
706
+ 00:18:11,680 --> 00:18:19,380
707
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุฃู†ุง
708
+
709
+ 220
710
+ 00:18:19,380 --> 00:18:25,300
711
+ ุนุงูŠุฒู‡ ูŠุตุบุฑ ูŠุนู†ูŠ ูŠูƒูˆู† ุฃูƒุซุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุจูŠุตุบุฑ ..
712
+
713
+ 221
714
+ 00:18:25,300 --> 00:18:29,740
715
+ ุฃู†ุง ุจุชุถุบุท .. ุจุชุถุบุท ุฅูŠุด ุนุงูŠุฒู‡ ุฃูƒุซุฑ ุณุงุนุฉ more than
716
+
717
+ 222
718
+ 00:18:29,740 --> 00:18:33,440
719
+ three hours more than three hours ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉุŒ
720
+
721
+ 223
722
+ 00:18:33,440 --> 00:18:38,280
723
+ ูƒูˆูŠุณุŸ ู‡ูˆ ุจุณ ุญูƒู‰ ูƒู„ู…ุฉ ุฏูŠ ูุฑุฒูุฑุง ู„ูˆ ุญูƒู‰ .. ุดูˆู ู„ูˆ
724
+
725
+ 224
726
+ 00:18:38,280 --> 00:18:45,740
727
+ ุงู„ูƒู„ู…ุฉ ู‡ุฐู‡ ุฅู†ุดุงู„ุช ูˆูƒุชุจ ุจูƒุชุจ exceeds ู„ูˆ ูƒุชุจ exceeds
728
+
729
+ 225
730
+ 00:18:45,740 --> 00:18:50,540
731
+ ุจ ุงุณู…ุน ูƒุฏู‡ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจุณ ู„ูˆ ุงู„ูƒู„ู…ุฉ ู‡ุฐู‡ ุฅู†ุดุงู„ุช ูˆูƒุชุจ
732
+
733
+ 226
734
+ 00:18:50,540 --> 00:18:55,580
735
+ below ู…ุด ุชุตูŠุฑ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุนุงู„ูŠุฉ ุตุงุฑ ุจุณ ู„ูƒู† ู„ู…ุง ูŠุญูƒูŠ
736
+
737
+ 227
738
+ 00:18:55,580 --> 00:19:00,780
739
+ differs ู…ุนู†ุงู‡ุง ุงู„ูŠู…ูŠู† ูˆุงู„ูŠุณุงุฑ ูŠุนู†ูŠ plus or minus
740
+
741
+ 228
742
+ 00:19:00,780 --> 00:19:06,580
743
+ ุฎู„ุงุตุŸ ุฅุฐุง differs ู…ุนุงูƒ ุนู†ุฏูƒ ููŠ two areas ุนุงุฏูŠ ุงุญู†ุง
744
+
745
+ 229
746
+ 00:19:06,580 --> 00:19:11,220
747
+ ูˆ ุญุณุจ ุงู„ู…ุซุงู„ ู„ุฅูŠู…ุง ุชูƒูˆู† ุฅุซู†ุชูŠู† ู‡ุฏูˆู„ ุฒูŠ ุงู„ู…ุญู„ ู‡ู†ุง ุฃูˆ
748
+
749
+ 230
750
+ 00:19:11,220 --> 00:19:17,120
751
+ ุงู„ูŠู…ูŠู† ูˆุงู„ุดู…ุงู„ ุญุณุจ ุงู„ู…ุซุงู„ุŒ ู„ู…ุง ุจุญูƒูŠ more .. more
752
+
753
+ 231
754
+ 00:19:17,120 --> 00:19:22,600
755
+ ุงู„ุทุฑููŠู†ุŒ ู„ู…ุง ุจุญูƒูŠ less ู‡ุชู…ุดูŠ ู„ุบุงูŠุฉ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุจุณ
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/tIdM6v2P4CM_postprocess.srt ADDED
@@ -0,0 +1,924 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,690 --> 00:00:22,730
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ูŠูˆู… I will
4
+
5
+ 2
6
+ 00:00:22,730 --> 00:00:28,110
7
+ continue the practice problems for chapter 7 I
8
+
9
+ 3
10
+ 00:00:28,110 --> 00:00:31,850
11
+ will start with 22 so I will just go back very
12
+
13
+ 4
14
+ 00:00:31,850 --> 00:00:36,550
15
+ quickly to the three problems we did for the two
16
+
17
+ 5
18
+ 00:00:36,550 --> 00:00:40,690
19
+ problems actually we did last time 22 and 23 then
20
+
21
+ 6
22
+ 00:00:40,690 --> 00:00:45,030
23
+ I will go for number 24 and 25 after that I will
24
+
25
+ 7
26
+ 00:00:45,030 --> 00:00:47,110
27
+ give a quiz number 2 again
28
+
29
+ 8
30
+ 00:00:50,570 --> 00:00:56,130
31
+ ู„ู„ู†ู…ุจุฑ 22 ู„ุฏูŠู†ุง ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุช ูˆู‚ุช ู…ุถู‰ ู„ู„ุฏุฑุงุณุฉ ู…ู†
32
+
33
+ 9
34
+ 00:00:56,130 --> 00:01:01,190
35
+ ุทุฑู ุงู„ุทู„ุงุจ ููŠ ุงู„ุฃุณุจูˆุน ู‚ุจู„ ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ู†ู‡ุงุฆูŠุฉ ุชุชุจุน
36
+
37
+ 10
38
+ 00:01:01,190 --> 00:01:06,910
39
+ ุงุชุตุงู„ ุทุจูŠุนูŠ ุจุดูƒู„ ุนุงุฏู„ ู…ู† 8 ุณุงุนุฉ ูููŠ ู‡ุฐุง ุงู„ุณูŠู†ุงุฑูŠูˆ
40
+
41
+ 11
42
+ 00:01:06,910 --> 00:01:08,290
43
+ ุณูŠุฌู…ุง ุงูƒุชุฑ ู…ู† 8
44
+
45
+ 12
46
+ 00:01:11,060 --> 00:01:21,560
47
+ ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง
48
+
49
+ 13
50
+ 00:01:21,560 --> 00:01:38,360
51
+ ู…ุซู„ู‹ุง
52
+
53
+ 14
54
+ 00:01:38,360 --> 00:01:38,560
55
+ ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง
56
+
57
+ 15
58
+ 00:01:38,560 --> 00:01:38,580
59
+ ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง
60
+
61
+ 16
62
+ 00:01:38,580 --> 00:01:38,600
63
+ ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง ู…ุซู„ู‹ุง
64
+
65
+ 17
66
+ 00:01:45,340 --> 00:01:48,500
67
+ ู…ุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
68
+
69
+ 18
70
+ 00:01:48,500 --> 00:01:48,780
71
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
72
+
73
+ 19
74
+ 00:01:48,780 --> 00:01:52,420
75
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
76
+
77
+ 20
78
+ 00:01:52,420 --> 00:01:56,160
79
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
80
+
81
+ 21
82
+ 00:01:56,160 --> 00:01:57,580
83
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
84
+
85
+ 22
86
+ 00:01:57,580 --> 00:01:59,420
87
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
88
+
89
+ 23
90
+ 00:01:59,420 --> 00:01:59,920
91
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ
92
+
93
+ 24
94
+ 00:01:59,920 --> 00:02:08,460
95
+ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆุฉ ู…ุงุฆ
96
+
97
+ 25
98
+ 00:02:10,350 --> 00:02:14,030
99
+ ุงู„ู…ุดูƒู„ุฉ ุชุจุฏูˆ ู…ุซู„ู‹ุงุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู…ุนู†ู‰ุŒ ุฃู†ุง ุฃุนู†ูŠ
100
+
101
+ 26
102
+ 00:02:14,030 --> 00:02:18,930
103
+ ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ ู…ูŠูˆุŒ ุงู„ุขู† x ุจุงุฑ ุชุชุฌู‡ ุฅู„ู‰ ู…ูŠูˆ ุจูƒุชุฑ ู…ู†
104
+
105
+ 27
106
+ 00:02:18,930 --> 00:02:28,970
107
+ 2 ุฏู‚ูŠู‚ุฉุŒ 2 ุณุงุนุชูŠู† ุชุชุฌู‡ ุฅู„ู‰ ู…ูŠูˆ ุฃูƒุชุฑ ู…ู† 2 ุณุงุนุชูŠู†ุŒ
108
+
109
+ 28
110
+ 00:02:28,970 --> 00:02:32,290
111
+ ู„ุฐู„ูƒ ุงู„ุณุคุงู„ ู‡ูˆ x ุจุงุฑ ุชุชุฌู‡ ุฅู„ู‰ ู…ูŠูˆ ุจูƒุชุฑ ู…ู† 2
112
+
113
+ 29
114
+ 00:02:32,290 --> 00:02:36,830
115
+ ุณุงุนุชูŠู†ุŒ ุงู„ุขู† ุนู„ู‰ ุงู„ูŠุณุงุฑ ู„ุฏูŠู†ุง ู…ูŠูˆุŒ ู‚ุจู„ ุฐู„ูƒ ู„ุฏูŠู†ุง
116
+
117
+ 30
118
+ 00:02:36,830 --> 00:02:41,530
119
+ ู…ูŠูˆ ุจู„ุณ ูˆุงุญุฏุŒ ุจุนุฏ ุฐู„ูƒ ู…ุงุฐุง ู„ุฏูŠู†ุงุŸู…ูŠูˆ ุจู„ุณ 2 ุซู…
120
+
121
+ 31
122
+ 00:02:41,530 --> 00:02:43,670
123
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
124
+
125
+ 32
126
+ 00:02:43,670 --> 00:02:43,930
127
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
128
+
129
+ 33
130
+ 00:02:43,930 --> 00:02:45,950
131
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
132
+
133
+ 34
134
+ 00:02:45,950 --> 00:02:48,290
135
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
136
+
137
+ 35
138
+ 00:02:48,290 --> 00:02:49,930
139
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
140
+
141
+ 36
142
+ 00:02:49,930 --> 00:02:54,270
143
+ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
144
+
145
+ 37
146
+ 00:02:54,270 --> 00:03:01,130
147
+ ุซู„ุงุซุฉ
148
+
149
+ 38
150
+ 00:03:11,160 --> 00:03:14,880
151
+ ุฒูŠ is just x bar minus the mean of x bar divided
152
+
153
+ 39
154
+ 00:03:14,880 --> 00:03:21,020
155
+ by sigma of x bar now the mean of x bar equals mu
156
+
157
+ 40
158
+ 00:03:21,020 --> 00:03:28,420
159
+ this is unknown while sigma of x bar sigma over
160
+
161
+ 41
162
+ 00:03:28,420 --> 00:03:32,840
163
+ square root of n sigma
164
+
165
+ 42
166
+ 00:03:32,840 --> 00:03:36,460
167
+ is four is eight n is four so eight divided by
168
+
169
+ 43
170
+ 00:03:36,460 --> 00:03:39,420
171
+ square root of four is two so eight over two is
172
+
173
+ 44
174
+ 00:03:39,420 --> 00:03:46,970
175
+ fourู„ุฐู„ูƒ ู†ู‚ู„ ู‡ุฐุง ุฅู„ู‰ ู…ู‚ุงุฑู†ุฉ Z ู†ุญุตู„ ุนู„ู‰ X ุจุงุฑ ูŠูƒูˆู†
176
+
177
+ 45
178
+ 00:03:46,970 --> 00:03:52,070
179
+ Z ูˆู…ุน ุฐู„ูƒ ู…ูŠูˆ ุจู„ุณ ุงูƒุชุฑ ู…ู† ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ
180
+
181
+ 46
182
+ 00:03:52,070 --> 00:03:52,350
183
+ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
184
+
185
+ 47
186
+ 00:03:52,350 --> 00:03:52,470
187
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
188
+
189
+ 48
190
+ 00:03:52,470 --> 00:03:52,770
191
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†๏ฟฝ๏ฟฝ Z
192
+
193
+ 49
194
+ 00:03:52,770 --> 00:03:53,270
195
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
196
+
197
+ 50
198
+ 00:03:53,270 --> 00:03:55,810
199
+ ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุฉ Z
200
+
201
+ 51
202
+ 00:03:55,810 --> 00:04:04,590
203
+ ู…ู‚ุงุฑู†ุฉ
204
+
205
+ 52
206
+ 00:04:04,590 --> 00:04:13,470
207
+ Z ู…ู‚ุงุฑู†ุฉ Z ู…ู‚ุงุฑู†ุงู„ุฏุฑุฌุฉ ุงู„ุซุงู†ูŠุฉ ู‡ูŠ z ุฃูƒุจุฑ ู…ู† ู…ูŠูˆ
208
+
209
+ 53
210
+ 00:04:13,470 --> 00:04:14,870
211
+ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ
212
+
213
+ 54
214
+ 00:04:14,870 --> 00:04:16,330
215
+ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ
216
+
217
+ 55
218
+ 00:04:16,330 --> 00:04:18,350
219
+ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ
220
+
221
+ 56
222
+ 00:04:18,350 --> 00:04:19,530
223
+ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ
224
+
225
+ 57
226
+ 00:04:19,530 --> 00:04:23,310
227
+ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ
228
+
229
+ 58
230
+ 00:04:23,310 --> 00:04:23,650
231
+ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ
232
+
233
+ 59
234
+ 00:04:23,650 --> 00:04:34,350
235
+ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ ู…ูŠูˆ ู…ูŠู†ูˆุณ
236
+
237
+ 60
238
+ 00:04:39,040 --> 00:04:45,400
239
+ ุทู„ุน ุนู„ู‰ ุงู„ู†ุต ุนุดุงู† ุชุฌุงูˆุจ ุชุจุนู‡ุง ู…ู† ุงู„ table ุนู†ุฏ
240
+
241
+ 61
242
+ 00:04:45,400 --> 00:05:05,100
243
+ ุงู„ู†ุต ุงูŠุด ุจุชุณุงูˆูŠ 6 6 9 1 5 0.3085 0.3085 that's
244
+
245
+ 62
246
+ 00:05:05,100 --> 00:05:13,470
247
+ for 22 straightforwardุฃูŠ ุณุคุงู„ุŸ ุซุงู†ูŠู‹ุง 23 ุชูุถู„ ุฅู„ู‰
248
+
249
+ 63
250
+ 00:05:13,470 --> 00:05:17,610
251
+ ู†ูุณ ุงู„ุณูŠู†ุงุฑูŠูˆ ู…ุงุฐุง ู‡ูŠ ุงู„ู…ูุฑูˆุถ ุฃู† ุงู„ู…ุนุงู…ู„ุฉ ูŠุนู†ูŠ ู…ุฑุฉ
252
+
253
+ 64
254
+ 00:05:17,610 --> 00:05:26,910
255
+ ุฃุฎุฑู‰ X bar ู‡ูŠ ุฃูƒุชุฑ ุฃูƒุชุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุซู„ุงุซ ุณุงุนุงุช
256
+
257
+ 65
258
+ 00:05:26,910 --> 00:05:35,730
259
+ ุชุญุช ุงู„ู…ุฌุชู…ุน ุชุญุช ู…ูŠูˆ ู…ุฑุฉ ุฃุฎุฑู‰ ุงุฎุชูŠุงุฑ
260
+
261
+ 66
262
+ 00:05:43,600 --> 00:05:49,740
263
+ ู‡ุฐุง ู…ูŠูˆ ุงูƒุณ ุจุงุฑ ุงูƒุชุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุชุญุช ุงู„ู…ุตุทู„ุญ ุชุญุช
264
+
265
+ 67
266
+ 00:05:49,740 --> 00:05:53,720
267
+ ุงู„ู…ุตุทู„ุญ ู‡ุฐุง ู…ุตุทู„ุญ ุงู„ู…ุตุทู„ุญ ุชุญุช ุงู„ู…ุตุทู„ุญ ูŠุนู†ูŠ ู…ุตุทู„ุญ
268
+
269
+ 68
270
+ 00:05:53,720 --> 00:05:54,020
271
+ ุชุญุช ุงู„ู…ุตุทู„ุญ ูู‡ูˆ ู…ุตุทู„ุญ ุงูƒุชุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุชุญุช
272
+
273
+ 69
274
+ 00:05:54,020 --> 00:06:03,140
275
+ ุงู„ู…ุตุทู„ุญ ูู‡ูˆ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ุงูƒุชุฑ
276
+
277
+ 70
278
+ 00:06:03,140 --> 00:06:08,300
279
+ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ุชุญุช ุงู„ู…ุตุทู„ุญ ู‡ุฐุง ู…ุตุทู„ุญ ู…ุตุทู„ุญ ุงูƒุชุฑ ู…ู†
280
+
281
+ 71
282
+ 00:06:08,300 --> 00:06:13,100
283
+ ุซู„ุงุซ ุณุงุนุงุช ุชุญุช ุงู„ู…ุตุทู„ุญู…ุงุฐุง ุชุญุช ู…ูŠูˆ ู…ุงู†ูˆุณ ุซู„ุงุซุŸ
284
+
285
+ 72
286
+ 00:06:13,100 --> 00:06:18,620
287
+ ู…ุงู†ูˆุณ ุฃุฑุจุน ู…ุงู†ูˆุณ ุฎู…ุณ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ูˆุนู„ู‰ ุฃุนู„ู‰ ู…ุงู†ูˆุณ
288
+
289
+ 73
290
+ 00:06:18,620 --> 00:06:20,060
291
+ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ุงูˆ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู†
292
+
293
+ 74
294
+ 00:06:20,060 --> 00:06:20,160
295
+ ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู†
296
+
297
+ 75
298
+ 00:06:20,160 --> 00:06:22,920
299
+ ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู†
300
+
301
+ 76
302
+ 00:06:22,920 --> 00:06:26,000
303
+ ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู†
304
+
305
+ 77
306
+ 00:06:26,000 --> 00:06:31,480
307
+ ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงุชู†ูŠู†
308
+
309
+ 78
310
+ 00:06:31,480 --> 00:06:36,870
311
+ ู…ุงู†ูˆุณ ุงุชู†ูŠู† ู…ุงู†ูˆุณ ุงmore than three hours ุฃูƒุชุฑ ู…ู†
312
+
313
+ 79
314
+ 00:06:36,870 --> 00:06:40,510
315
+ ุชู„ุช ุณุงุนุงุช ุฃู‚ู„ ู…ู† ุงู„ู…ูŠู† ู„ู‚ู‰ ุงู„ุฃูƒุชุฑ ู…ู† ุชู„ุช ุณุงุนุงุช
316
+
317
+ 80
318
+ 00:06:40,510 --> 00:06:43,070
319
+ ุงู„ุฃู‚ู„ ู…ู† ุงู„ู…ูŠู† ุจุชูƒูˆู† ู…ูŠู† ู†ู‚ุต ุงุชู†ูŠู† ูˆู„ุง ู…ูŠู† ู†ู‚ุต
320
+
321
+ 81
322
+ 00:06:43,070 --> 00:06:46,870
323
+ ุฃุฑุจุนุฉ ุงู„ุฃุฑุจุนุฉ
324
+
325
+ 82
326
+ 00:06:46,870 --> 00:06:52,570
327
+ ุฃู†ุช ุจุชุญูƒูŠ below ูˆ ุจุนุฏูŠู† more ู„ู…ุง ุจุญูƒูŠ ุฃูƒุชุฑ ู…ู† ุชู„ุช
328
+
329
+ 83
330
+ 00:06:52,570 --> 00:06:57,010
331
+ ุณุงุนุงุช ุฃู‚ู„ ู…ู† ุงู„ู…ูŠู† ู„ู…ุง ุจุญูƒูŠ ุฃู† ุฃู†ุง ู…ุตุฑูˆู ูŠุง ุฌุงู„
332
+
333
+ 84
334
+ 00:06:57,010 --> 00:07:02,580
335
+ ู…ู†ูƒ ุฃุจุทู„ู‡ุง ุชุดูƒู„ ุฅูŠุด ู…ุนู†ุงู‡ุŸ ุฃู†ู‡ ..ุฃู‚ู„ ุจูŠุตูŠุฑ ุฃู‚ู„ ุจ2
336
+
337
+ 85
338
+ 00:07:02,580 --> 00:07:09,060
339
+ ูˆ ู„ุง ุฃู‚ู„ ุจ1 ูˆ ู„ุง ุฃู‚ู„ ุจ4 ู…ุตุฑูˆู ุฃู‚ู„ ู…ู†ูƒ ุจ3 ุดูƒู„ ู…ุนู†ุงู‡
340
+
341
+ 86
342
+ 00:07:09,060 --> 00:07:16,600
343
+ ุฃู†ุช ู…ุตุฑูˆููƒ X ู‡ูƒูˆู† ุงู†ุง X minus 4 ูˆ ู„ุง 2 ุงู„ุงุฑุจุน
344
+
345
+ 87
346
+ 00:07:16,600 --> 00:07:21,880
347
+ ุงู„ุจุนุฏ ู‡ูŠูƒ ูˆ ุจูŠุญูƒูŠ more than three hours below as
348
+
349
+ 88
350
+ 00:07:21,880 --> 00:07:24,220
351
+ in ู‡ุงูŠ ุงู„ area ู„ุญุธุฉ ุงู†ุง 100 minus 4 ุชุจูŠู† ุงูŠุด
352
+
353
+ 89
354
+ 00:07:24,220 --> 00:07:29,480
355
+ ู…ูˆุฌูˆุฏุŸูˆ ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชู†ูŠู† ุทุจ ู„ูˆ ุฎุฏุช ุงู„ right ุงูŠุด
356
+
357
+ 90
358
+ 00:07:29,480 --> 00:07:34,280
359
+ ู‡ูŠุทู„ุน ุงู†ู‡ ู…ุตุฑูˆู ู…ุด ุงู‚ู„ ุจุชู„ุงุชุฉ ู…ุด ุงูƒุชุฑ ุจุชู„ุงุชุฉ ุตุงุฑ
360
+
361
+ 91
362
+ 00:07:34,280 --> 00:07:37,760
363
+ ุงู‚ู„ ุตุงุฑ ุงุชู†ูŠู† ูˆ ูˆุงุญุฏ ูˆูƒุฐุง ู…ุธุจูˆุท ู„ุบุงูŠุฉ ู†ูุณ ุงู„ู…ูŠู†
364
+
365
+ 92
366
+ 00:07:37,760 --> 00:07:39,900
367
+ ุจุงู„ุธุจุท ู„ุฐุง ุงู„ area where you want to go to the
368
+
369
+ 93
370
+ 00:07:39,900 --> 00:07:46,780
371
+ left so X bar ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชู†ูŠู† X bar less than ู…ูŠูˆ
372
+
373
+ 94
374
+ 00:07:46,780 --> 00:07:51,820
375
+ ู…ุงูŠู†ูˆุณ ุงุชู†ูŠู†ู…ุซู„ู‹ุง ู…ุงุฐุง ูุนู„ู†ุงู‡ ู‚ุจู„ ุฐู„ูƒ ุชุบูŠู‘ุฑ ู…ู‚ุงุฑู†ุฉ
376
+
377
+ 95
378
+ 00:07:51,820 --> 00:08:04,720
379
+ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ ุฒูŠ
380
+
381
+ 96
382
+ 00:08:14,200 --> 00:08:21,720
383
+ ุงู„ุงู† ู…ู† ุงู„ูƒู…ุจูŠูˆุชุฑ ุณุชุญุตู„ ุนู„ู‰ ู†ู‚ุทุฉ 2266
384
+
385
+ 97
386
+ 00:08:21,720 --> 00:08:30,320
387
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ
388
+
389
+ 98
390
+ 00:08:30,320 --> 00:08:32,480
391
+ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰
392
+
393
+ 99
394
+ 00:08:32,480 --> 00:08:32,540
395
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ
396
+
397
+ 100
398
+ 00:08:32,540 --> 00:08:35,260
399
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ
400
+
401
+ 101
402
+ 00:08:35,260 --> 00:08:35,400
403
+ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰
404
+
405
+ 102
406
+ 00:08:35,400 --> 00:08:36,640
407
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ
408
+
409
+ 103
410
+ 00:08:36,640 --> 00:08:44,530
411
+ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…ุฑุฉ ุฃุฎุฑู‰ ู…differs from when we are
412
+
413
+ 104
414
+ 00:08:44,530 --> 00:08:48,310
415
+ talking about differs it means either greater than
416
+
417
+ 105
418
+ 00:08:48,310 --> 00:08:56,290
419
+ or smaller than the population mean by by be
420
+
421
+ 106
422
+ 00:08:56,290 --> 00:09:01,770
423
+ careful differs means plus or minus differs means
424
+
425
+ 107
426
+ 00:09:01,770 --> 00:09:10,110
427
+ plus or minus from the population by less by
428
+
429
+ 108
430
+ 00:09:10,110 --> 00:09:11,470
431
+ less than
432
+
433
+ 109
434
+ 00:09:14,360 --> 00:09:20,480
435
+ 2 ุณุงุนุชูŠู† ู‚ู„ู„ูŠ ุนู†ู‡ ุจุณุงุนุชูŠู†ุŒ ุฑูƒุฒ ุดูˆูŠุฉ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
436
+
437
+ 110
438
+ 00:09:20,480 --> 00:09:23,540
439
+ ู‡ุฐุง
440
+
441
+ 111
442
+ 00:09:23,540 --> 00:09:29,860
443
+ ู…ูŠูˆ ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูˆู…ูŠูˆ ุจู„ุงุณ ุงุชูˆ ู‡ุฐุง ูŠุนู†ูŠ ุงู†ู‡
444
+
445
+ 112
446
+ 00:09:29,860 --> 00:09:33,500
447
+ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ
448
+
449
+ 113
450
+ 00:09:33,500 --> 00:09:34,780
451
+ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ ูŠุฎุชู„ู
452
+
453
+ 114
454
+ 00:09:34,780 --> 00:09:36,700
455
+ ู…ู† ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ
456
+
457
+ 115
458
+ 00:09:36,700 --> 00:09:37,240
459
+ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู…ุงูŠู†ูˆุณ
460
+
461
+ 116
462
+ 00:09:37,240 --> 00:09:38,640
463
+ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ ูŠุฎุชู„ู ู…ู† ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ูู‡ูˆ ูŠุฎุชู„ู
464
+
465
+ 117
466
+ 00:09:38,640 --> 00:09:40,360
467
+ ู…ู† ู…
468
+
469
+ 118
470
+ 00:09:43,600 --> 00:09:48,400
471
+ ุฃู‚ู„ ู…ู† 2 ุณุงุนุฉ ุฏุนูˆู†ุง
472
+
473
+ 119
474
+ 00:09:48,400 --> 00:09:52,140
475
+ ู†ู†ุธุฑ ุฅู„ู‰ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ู€ upper tail ู…ูŠูˆ ุจู„ุณ 2 ุฏุงุฎู„
476
+
477
+ 120
478
+ 00:09:52,140 --> 00:09:55,660
479
+ ุงู„ู…ู†ุทู‚ุฉ ูˆุงู„ุชุงู„ูŠ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ูŠูˆ ุจู„ุณ 3 ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ
480
+
481
+ 121
482
+ 00:09:55,660 --> 00:09:59,960
483
+ ู…ุง ู†ุจุญุซ ุนู†ู‡ ุฃู‚ู„ ู…ู† 2 ุณุงุนุงุช
484
+
485
+ 122
486
+ 00:10:03,650 --> 00:10:06,490
487
+ is outside of the area we are looking for ูˆุงุถุญุŸ
488
+
489
+ 123
490
+ 00:10:06,490 --> 00:10:09,510
491
+ ุฅุฐุง ุงู„ู€ mu plus 3 ู…ุด ุนุงูŠุฒู‡ุง ู„ูˆ ุฃู†ุง ุนุงูŠุฒู‡ุง ุฅูŠุด
492
+
493
+ 124
494
+ 00:10:09,510 --> 00:10:14,590
495
+ ู‡ุชูƒูˆู†ุŸ ุฃู‚ู„ ุฅุฐุง ู…ุนู†ุงู‡ ูƒุฏู‡ ุฃู‚ู„ุŒ ู‡ู…ุดูŠ ูƒุฏู‡ุŒ ู…ุธุจูˆุทุŸ
496
+
497
+ 125
498
+ 00:10:14,590 --> 00:10:18,750
499
+ ู‡ู…ุดูŠ ู„ุบุงูŠุฉ ู‡ู†ุง ูˆ ู„ุง ู‡ูƒู…ู„ุŸ less than two hoursุŒ
500
+
501
+ 126
502
+ 00:10:18,750 --> 00:10:24,290
503
+ ุงู„ุฑูƒุฒ ูƒูˆูŠุณ ู‡ูŠ ู…ูŠูˆ ุจู„ุณ ุงุชูˆุŒ ู…ูŠูˆ ุจู„ุณ ูˆุงุญุฏุŒ ู‡ู†ุง ู…ูŠูˆุŒ
504
+
505
+ 127
506
+ 00:10:24,290 --> 00:10:31,130
507
+ ุฅูŠุด ู…ูŠุด ุจุนุฏู‡ุงุŸ ู…ูŠูˆ ู…ุงูŠู†ุณ ูˆุงุญุฏ ูˆู‡ุฐุง ุจุฑุถู‡ ุฃู‚ู„ุŒ ู…ุดูŠูƒุŸ
508
+
509
+ 128
510
+ 00:10:31,130 --> 00:10:40,040
511
+ ู„ุบุงูŠุฉ ู…ุง ุชุตู„ ู…ูŠู†ุŸู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู‡ุชุด ุจุชุณุงูˆูŠุŸ
512
+
513
+ 129
514
+ 00:10:40,040 --> 00:10:46,360
515
+ ู…ูŠู†ูุน ุงุฎุด
516
+
517
+ 130
518
+ 00:10:46,360 --> 00:10:50,160
519
+ ู„ู„ุงุฎุฑุŸ ู‡ุชุด ุจุชุณุงูˆูŠุŸ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู‡ุชุด ุจุชุณุงูˆูŠุŸ
520
+
521
+ 131
522
+ 00:10:50,160 --> 00:10:54,860
523
+ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ
524
+
525
+ 132
526
+ 00:10:54,860 --> 00:10:55,660
527
+ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ
528
+
529
+ 133
530
+ 00:10:55,660 --> 00:10:59,200
531
+ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ ู…ูŠู†ูุน ุงุฎุด ู„ู„ุงุฎุฑุŸ
532
+
533
+ 134
534
+ 00:10:59,200 --> 00:10:59,260
535
+ ู…ูŠู†
536
+
537
+ 135
538
+ 00:11:05,510 --> 00:11:12,050
539
+ ุงู„ุงู† ู†ุจุญุซ ุนู† ุจูŠูˆ ุงูƒุณ ุจุงุฑ ุจูŠู† ู…ูŠูˆ ู…ุงู†ูˆุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ
540
+
541
+ 136
542
+ 00:11:12,050 --> 00:11:15,330
543
+ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ
544
+
545
+ 137
546
+ 00:11:15,330 --> 00:11:17,630
547
+ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ
548
+
549
+ 138
550
+ 00:11:17,630 --> 00:11:19,130
551
+ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ
552
+
553
+ 139
554
+ 00:11:19,130 --> 00:11:20,930
555
+ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…๏ฟฝ๏ฟฝูˆ ุจู„ุณ ุงูˆ
556
+
557
+ 140
558
+ 00:11:20,930 --> 00:11:28,590
559
+ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ูŠูˆ
560
+
561
+ 141
562
+ 00:11:28,590 --> 00:11:37,470
563
+ ุจู„ุณ ุงูˆ ู…ูŠูˆ ุจู„ุณ ุงูˆ ู…ุณู†ุจุฏุฃ ู…ู† ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ู…ูŠูˆ ุจู„ุณ
564
+
565
+ 142
566
+ 00:11:37,470 --> 00:11:42,150
567
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
568
+
569
+ 143
570
+ 00:11:42,150 --> 00:11:43,930
571
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
572
+
573
+ 144
574
+ 00:11:43,930 --> 00:11:48,110
575
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
576
+
577
+ 145
578
+ 00:11:48,110 --> 00:11:48,650
579
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
580
+
581
+ 146
582
+ 00:11:48,650 --> 00:11:48,730
583
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ
584
+
585
+ 147
586
+ 00:11:48,730 --> 00:11:52,370
587
+ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงุชุณ ุงู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ
588
+
589
+ 148
590
+ 00:11:52,370 --> 00:11:57,210
591
+ ุงู„ุดู…ุณูŠุฉ ุงู„ู„ุชูŠ ู†ุจุญุซ ุนู†ู‡ุง ุงู„ุขู† ู„ุฅูŠุฌุงุฏ ู…ู‚ุงุฑู†ุฉ z ูƒู…ุง
592
+
593
+ 149
594
+ 00:11:57,210 --> 00:12:02,010
595
+ ุฐูƒุฑู†ุงู‡ ู‚ุจู„ ุฐู„ูƒ ูู‚ุท ุงุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ equal to x
596
+
597
+ 150
598
+ 00:12:02,010 --> 00:12:05,210
599
+ bar minus the mean of x bar over sigma of x bar
600
+
601
+ 151
602
+ 00:12:05,210 --> 00:12:09,910
603
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู‡ุฐุง ุจูŠ ู…ูŠูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ู…ุงูŠู†ูˆุณ ุงุชูˆ ู…ุงูŠู†ูˆุณ
604
+
605
+ 152
606
+ 00:12:09,910 --> 00:12:18,870
607
+ ู…ูŠูˆ over sigma of x bar ู‡ุฐุง ู…ู‚ุงุฑู†ุฉ z ู‡ุฐุง
608
+
609
+ 153
610
+ 00:12:18,870 --> 00:12:26,280
611
+ ูŠุนู†ูŠู…ูŠูˆ ู…ู‚ูู„ ู…ู† ู†ุตู ุฅู„ู‰ ู†ุตู ู†ุตู
612
+
613
+ 154
614
+ 00:12:26,280 --> 00:12:33,220
615
+ ู†ุตู
616
+
617
+ 155
618
+ 00:12:33,220 --> 00:12:34,300
619
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
620
+
621
+ 156
622
+ 00:12:34,300 --> 00:12:39,500
623
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
624
+
625
+ 157
626
+ 00:12:39,500 --> 00:12:41,360
627
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
628
+
629
+ 158
630
+ 00:12:41,360 --> 00:12:41,380
631
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู
632
+
633
+ 159
634
+ 00:12:41,380 --> 00:12:44,000
635
+ ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุตู ู†ุต
636
+
637
+ 160
638
+ 00:12:51,140 --> 00:12:57,180
639
+ P of Z less than one half as
640
+
641
+ 161
642
+ 00:12:57,180 --> 00:13:02,780
643
+ we did before ุฃู‚ู„ ู…ู† ู†ุต ุฃู‚ู„ ู…ู† ุณุงู„ุจ ู†ุต ุชู„ู‚ูŠู‡ุง ููŠ
644
+
645
+ 162
646
+ 00:13:02,780 --> 00:13:11,260
647
+ ุงู„ table ุงู„ู„ูŠ ุฑุงูŠุญูƒ point 6915 ุงู„ู„ูŠ
648
+
649
+ 163
650
+ 00:13:11,260 --> 00:13:15,700
651
+ ุทู„ุน ู‡ู†ุง ุดูˆูŠุฉ ุงูˆ ุงู„ complement ุงู„ู„ูŠ ู‡ู†ุง ุจุทู„ุน ุฌูˆุง
652
+
653
+ 164
654
+ 00:13:15,700 --> 00:13:20,040
655
+ point 383 ุฎู„ุงุต
656
+
657
+ 165
658
+ 00:13:20,950 --> 00:13:33,150
659
+ ู‡ุฐุง ุงุชูˆู‚ูู†ุง ุนู†ุฏู‡ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ So
660
+
661
+ 166
662
+ 00:13:33,150 --> 00:13:38,290
663
+ again in this question we are asking about the
664
+
665
+ 167
666
+ 00:13:38,290 --> 00:13:43,090
667
+ probability that the sample mean differs from the
668
+
669
+ 168
670
+ 00:13:43,090 --> 00:13:47,930
671
+ population mean by less than two hours So what
672
+
673
+ 169
674
+ 00:13:47,930 --> 00:13:53,360
675
+ should you do first steplocate over all mean the
676
+
677
+ 170
678
+ 00:13:53,360 --> 00:13:58,500
679
+ population mean then differs it means mu minus and
680
+
681
+ 171
682
+ 00:13:58,500 --> 00:14:05,180
683
+ mu plus it ask less than two hours ุงู‚ู„ ู…ู† ุณุงุนุชูŠู†
684
+
685
+ 172
686
+ 00:14:05,180 --> 00:14:09,900
687
+ ู…ูŠู† ุงู„ุงู‚ู„ ู…ู† ุณุงุนุชูŠู† ุงูŠ ุญุฏ ุฌุงุจ ุงู„ุงุชู†ูŠู† ู„ุบุงูŠุฉ ู‡ู†ุง ุฏู‡
688
+
689
+ 173
690
+ 00:14:09,900 --> 00:14:13,660
691
+ ูƒู„ู‡ ุฌุงุจ ุงู„ุงุชู†ูŠู† ู„ุบุงูŠุฉ ุงู„ mu ุจุฑุถู‡ ุงู‚ู„ ู…ู† ุณุงุนุชูŠู†
692
+
693
+ 174
694
+ 00:14:13,660 --> 00:14:17,460
695
+ ูŠุนู†ูŠ mu minus ูˆุงุญุฏ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู„ุบุงูŠุฉ ู…ุง ุงุตู„ุง ุงู„ mu
696
+
697
+ 175
698
+ 00:14:17,460 --> 00:14:20,490
699
+ ู†ู‚ุต ุงุชู†ูŠู† ูุจุชู‚ูˆู„ ุงุญู†ุง ู‡ุงุฎุฏ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ู†ุงุทุจ ูˆ ู„ูˆ
700
+
701
+ 176
702
+ 00:14:20,490 --> 00:14:24,190
703
+ ุนุงู„ุด ู…ุงุดูŠ ู‡ุชุตูŠุฑ ุงู„ 100 ู†ู‚ุต ุชู„ุงุชุฉ ุฃู†ุง ู…ุด ุนุงูŠุฒู‡ุง ุฃู†ุง
704
+
705
+ 177
706
+ 00:14:24,190 --> 00:14:26,550
707
+ ุนุงูŠุฒ ุฃูƒูˆู† less than two of us ู„ุฃู† ุงู„ 100 ู†ู‚ุต ุชู„ุงุชุฉ
708
+
709
+ 178
710
+ 00:14:26,550 --> 00:14:29,610
711
+ ู…ุนู†ุงู‡ ุฃู† ุฃู†ุง ุจู‚ู„ุจ ุชู„ุงุชุฉุŒ ู…ุธุจูˆุทุŸ ุฃู†ุง ู…ุด ุนุงูŠุฒู‡ุง
712
+
713
+ 179
714
+ 00:14:29,610 --> 00:14:34,710
715
+ ุชู„ุงุชุฉุŒ ุนุงูŠุฒู‡ุง ุฃู‚ู„ ู…ู† ุงุชู†ูŠู†ุŒ ู…ูุถุญูŠุฉุŸ ุฅูŠู‡ุŸ ูŠุนู†ูŠ
716
+
717
+ 180
718
+ 00:14:34,710 --> 00:14:40,130
719
+ ุจู†ุนู„ูŠ ู†ุทู„ุน ุนู„ู‰ twenty-five the last one ู†ู‚ุฑุฃ
720
+
721
+ 181
722
+ 00:14:40,130 --> 00:14:41,310
723
+ twenty-five ู‡ูŠูƒ ุจุงู„ุฑุงุญุฉ
724
+
725
+ 182
726
+ 00:14:56,210 --> 00:14:59,290
727
+ refer to 7-1 what's the probability that the
728
+
729
+ 183
730
+ 00:14:59,290 --> 00:15:05,210
731
+ sample mean again differs from the population mean
732
+
733
+ 184
734
+ 00:15:05,210 --> 00:15:11,390
735
+ by whatุŸ by more ุฑูƒุฒูŠ by more ุงู„ููŠุฑูˆุฑ ูƒุงู†ุช less ู…ุด
736
+
737
+ 185
738
+ 00:15:11,390 --> 00:15:18,510
739
+ ุดุงูƒ ุจุฑุถู‡ ุงู†ุง ุญุงุฑุณู‡ ูˆุงู†ุง ู…ุบุงู…ุฑ ุงุฐุง ุญุงุฑุณู‡ ู…ู† you
740
+
741
+ 186
742
+ 00:15:18,510 --> 00:15:25,000
743
+ plus three ูˆุงุฑูƒุฒ ููŠ ุงู„ู„ูŠ ู‡ูˆ ุนุงูŠุฒู‡ุจุงู‚ูŠ ุงุด ุนุงูŠุฒ more
744
+
745
+ 187
746
+ 00:15:25,000 --> 00:15:29,260
747
+ than three hours ู‡ูŠูƒ ูˆ ู‡ูŠูƒ ๏ฟฝ๏ฟฝุธุจูˆุท ุนู„ู‰ ุงู„ุฅุทู„ุงุน ู„ุฅู†
748
+
749
+ 188
750
+ 00:15:29,260 --> 00:15:34,740
751
+ three hours ุฃูƒุชุฑ ู‡ูŠู‡ุง ุงู†ุง ู…ูŠ ุจูŠุฌูŠ ุงู†ุง ู…ูŠู† ู…ูŠ plus
752
+
753
+ 189
754
+ 00:15:34,740 --> 00:15:39,140
755
+ four ูˆ ู‡ูƒุฐุง ุจุงู„ุชุงู„ูŠ ุนุงูŠุฒูŠ ุฅู„ู‰ to the right ุทุจ ู‡ู„
756
+
757
+ 190
758
+ 00:15:39,140 --> 00:15:44,950
759
+ ุนุงูŠุฒ ุงู„ู„ูŠ ุฃู‚ู„ ู„ุฃูˆุนุงูŠุฒุฉ ุงู„ุฃูƒุจุฑ ู‡ู„ ุงู„ุฃูƒุจุฑ ู‡ุฐู‡ ุจุณ ูˆู„ุง
760
+
761
+ 191
762
+ 00:15:44,950 --> 00:15:49,150
763
+ ู‡ุฐู‡ ุจุฑุถู‡ุŸ ูˆู‡ุฐู‡ ุจุฑุถู‡ ู„ุฃู† ู‡ุฐู‡ ู…ุนู†ุงู‡ ู‡ูŠ ู…ูŠูˆ ู†ุงู‚ุต
764
+
765
+ 192
766
+ 00:15:49,150 --> 00:15:52,150
767
+ ุฃุฑุจุนุฉ ู…ูŠูˆ ู†ุงู‚ุต ุฎู…ุณุฉ ู…ูŠูˆ ู†ุงู‚ุต ุณุชุฉ ูˆูƒุฐุง ูุจุงู„ุชุงู„ูŠ
768
+
769
+ 193
770
+ 00:15:52,150 --> 00:15:57,130
771
+ ู†ุจุญุซ ุนู† ู‡ุฐู‡ ุงู„ุงุซู†ูŠู† ุงู„ู…ู†ุงุทู‚ ูุฃุนู„ู‰ ู…ูŠูˆ ุจู„ุณ ุซู„ุงุซุฉ
772
+
773
+ 194
774
+ 00:15:57,130 --> 00:16:02,850
775
+ ูˆุนู†ู ู…ูŠูˆ ู…ุงู†ุณ ุซู„ุงุซุฉ ู„ุฐุง ูุฅู† ู‡ุฐุง ุงู„ูˆุถุน ู‡ูˆ X bar
776
+
777
+ 195
778
+ 00:16:02,850 --> 00:16:13,540
779
+ ุฃูƒุจุฑ ู…ู† ู…ูŠูˆ ุจู„ุณ ุซู„ุงุซุฉุฃูˆ ุจู„ุณ ุงูƒุณ ุจุงุฑ ุงู‚ู„ ู…ู† ู…ูŠูˆ ุจู„ุณ
780
+
781
+ 196
782
+ 00:16:13,540 --> 00:16:16,620
783
+ ู„ุฐู„ูƒ
784
+
785
+ 197
786
+ 00:16:16,620 --> 00:16:23,680
787
+ ู…ุฑุฉ ุฃุฎุฑู‰ ู†ุญู† ู…ู‡ุชู…ูˆู† .. ู†ุญู† ู…ู‡ุชู…ูˆู† ููŠ ู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ
788
+
789
+ 198
790
+ 00:16:23,680 --> 00:16:28,000
791
+ ู„ูƒูŠ ู†ุฌุฏ ุงู„ูˆุงู‚ุน ุฃู† ุงู„ูˆุถุน ูŠุนู†ูŠ ู…ุฎุชู„ู ุนู† ู…ุฏูŠู†ุฉ ูŠุนู†ูŠ
792
+
793
+ 199
794
+ 00:16:28,000 --> 00:16:33,560
795
+ ุจูƒุซูŠุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ูู‚ุท ุงูƒุชุดู ุฃูˆู„ ุฎุทูˆุฉ ู…ูŠูˆ ู…ุงูŠู†ูˆุณ
796
+
797
+ 200
798
+ 00:16:33,560 --> 00:16:40,290
799
+ ุซู„ุงุซ ูˆู…ูŠูˆ ุจู„ุณ ุซู„ุงุซ ุฃูƒุซุฑ ู…ู† ุซู„ุงุซ ุณุงุนุงุช ูŠุนู†ูŠุฃูƒุชุฑ ู…ู†
800
+
801
+ 201
802
+ 00:16:40,290 --> 00:16:43,310
803
+ ุชู„ุงุชุฉ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ ูˆ ู‡ูŠูƒ ุชุทู„ุน ุงู„ area to the
804
+
805
+ 202
806
+ 00:16:43,310 --> 00:16:46,970
807
+ right more than three hours to the left side mu
808
+
809
+ 203
810
+ 00:16:46,970 --> 00:16:50,330
811
+ minus four mu minus five and so on so less than mu
812
+
813
+ 204
814
+ 00:16:50,330 --> 00:16:55,830
815
+ minus three so
816
+
817
+ 205
818
+ 00:16:55,830 --> 00:17:00,470
819
+ this again P of z greater than just one step three
820
+
821
+ 206
822
+ 00:17:00,470 --> 00:17:07,330
823
+ over sigma of x bar plus z less than negative
824
+
825
+ 207
826
+ 00:17:07,330 --> 00:17:14,190
827
+ three over fourูŠู…ูƒู†ูƒ ุชุฎุทูŠุท ูˆุงุญุฏ ู…ู† ู‡ุฐูŠู† ู„ุฃู†
828
+
829
+ 208
830
+ 00:17:14,190 --> 00:17:17,570
831
+ ุงู„ุงุฑุชูุงุน ุนู„ู‰ ุงู„ูŠุณุงุฑ 0.75 ู‡ูˆ ู†ูุณ ุงู„ุดูŠุก ู…ู† ุงู„ุงุฑุชูุงุน
832
+
833
+ 209
834
+ 00:17:17,570 --> 00:17:19,330
835
+ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
836
+
837
+ 210
838
+ 00:17:19,330 --> 00:17:20,890
839
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
840
+
841
+ 211
842
+ 00:17:20,890 --> 00:17:22,530
843
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
844
+
845
+ 212
846
+ 00:17:22,530 --> 00:17:24,810
847
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
848
+
849
+ 213
850
+ 00:17:24,810 --> 00:17:26,850
851
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„
852
+
853
+ 214
854
+ 00:17:26,850 --> 00:17:37,470
855
+ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู† ู†ู‚ู„ ู…ู†
856
+
857
+ 215
858
+ 00:17:40,020 --> 00:17:44,120
859
+ ุฃุนุชู‚ุฏ ุฃู†ู†ุง ูุนู„ู†ุงู‡ุง ู‚ุจู„ ุฐู„ูƒุŒ ูˆ ุงู„ุฅุฌุงุจุฉ ูƒุงู†ุช 0.266
860
+
861
+ 216
862
+ 00:17:44,120 --> 00:17:55,180
863
+ ู‡ุฐุง ู†ูุณ ุงู„ุดูŠุกุŒ ูุฅุฌุงุจุฉ ุงู„ุฃุฎูŠุฑุฉ 0.4533 ุชู‚ุฑูŠุจู‹ุง 32133
864
+
865
+ 217
866
+ 00:17:55,180 --> 00:18:05,920
867
+ ุฃูˆ 32133ุŒ ูุฅุฌุงุจุฉ ุงู„ู…ู‚ุงุฑู†ุฉ 0.4532 ุฃูˆ 4333 ุฃูŠ
868
+
869
+ 218
870
+ 00:18:05,920 --> 00:18:06,460
871
+ ุณุคุงู„ุŸ
872
+
873
+ 219
874
+ 00:18:11,680 --> 00:18:19,380
875
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ ุงู†ุง
876
+
877
+ 220
878
+ 00:18:19,380 --> 00:18:25,300
879
+ ุนุงูŠุฒู‡ ูŠุตุบุฑ ูŠุนู†ูŠ ูŠูƒูˆู† ุงูƒุชุฑ ู…ู† ุชู„ุงุช ุณุงุนุงุช ุจูŠุตุบุฑ ..
880
+
881
+ 221
882
+ 00:18:25,300 --> 00:18:29,740
883
+ ุงู†ุง ุจุชุถุบุท .. ุจุชุถุบุท ุงูŠุด ุนุงูŠุฒู‡ ุงูƒุชุฑ ุณุงุนุฉ more than
884
+
885
+ 222
886
+ 00:18:29,740 --> 00:18:33,440
887
+ three hours more than three hours ู‡ุฐุง ุงู„ู…ู†ุทู‚ุฉุŒ
888
+
889
+ 223
890
+ 00:18:33,440 --> 00:18:38,280
891
+ ูƒูˆูŠุณุŸ ู‡ูˆ ุจุณ ุญูƒู‰ ูƒู„ู…ุฉ ุฏูŠ ูุฑุฒูุฑุง ู„ูˆ ุญูƒู‰ .. ุดูˆู ู„ูˆ
892
+
893
+ 224
894
+ 00:18:38,280 --> 00:18:45,740
895
+ ุงู„ูƒู„ู…ุฉ ู‡ุงุฏ ุงู†ุดุงู„ุฉูˆ ูƒุชุจ ุจูƒุชุจ exceeds ู„ูˆ ูƒุชุจ exceeds
896
+
897
+ 225
898
+ 00:18:45,740 --> 00:18:50,540
899
+ ุจุณู…ุน ูƒุฏู‡ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจุณ ู„ูˆ ุงู„ูƒู„ู…ุฉ ู‡ุงุฏ ุงู†ุดุงู„ุช ูˆ ูƒุชุจ
900
+
901
+ 226
902
+ 00:18:50,540 --> 00:18:55,580
903
+ below ู…ุด ู…ุตูŠุฑ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุนุงู„ูŠ ุตุงุฑ ุจุณ ู„ูƒู† ู„ู…ุง ูŠุญูƒูŠ
904
+
905
+ 227
906
+ 00:18:55,580 --> 00:19:00,780
907
+ differs ู…ุนู†ุงู‡ ุงู„ูŠู…ูŠู† ูˆ ุงู„ูŠุดู…ุงู„ ูŠุนู†ูŠ plus or minus
908
+
909
+ 228
910
+ 00:19:00,780 --> 00:19:06,580
911
+ ุฎู„ุงุตุŸ ุงุฐุง differs ู…ุนุงูƒ ุนู†ุฏูƒ ููŠ two areas ุนุงุฏูŠ ุงุญู†ุง
912
+
913
+ 229
914
+ 00:19:06,580 --> 00:19:11,220
915
+ ูˆ ุญุณุจ ุงู„ู…ุซู„ ู„ุฅูŠู…ุง ุชูƒูˆู† ุชู†ุชูŠู† ู‡ุฏูˆู„ุฒูŠ ุงู„ู…ุญู„ ู‡ู†ุง ุฃูˆ
916
+
917
+ 230
918
+ 00:19:11,220 --> 00:19:17,120
919
+ ุงู„ูŠู…ูŠู† ูˆุงู„ุดู…ุงู„ ุญุณุจ ุงู„ู…ุซุงู„ุŒ ู„ู…ุง ุจุญูƒูŠ more .. more
920
+
921
+ 231
922
+ 00:19:17,120 --> 00:19:22,600
923
+ ุงู„ุทุฑุงูุŒ ู„ู…ุง ุจุญูƒูŠ less ู‡ุชู…ุดูŠ ู„ุบุงูŠุฉ ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ุจุณ
924
+
PL9fwy3NUQKwYFBUnodro6Sb-LDDg3GP62/tIdM6v2P4CM_raw.json ADDED
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