passages.id: split_4_test_530_passage
passages.type: progene_text
passages.text: For a simultaneous coverage probability of (1-alpha ) , the optimal sample size is defined to be the smallest integer value n*m such that , simultaneously for all L confidence intervals , the width of the lth confidence interval will be no greater than tolerance 2deltal (l=1,2,...,L ) with tolerance probability at least ( 1-gamma ) , treating the pooled sample variance S2p as a random variable .