STA 106 Study Guide - Final Guide: Type I And Type Ii Errors, Standard Deviation, Analysis Of Variance
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Assumptions for (pooled) hypothesis testing for 1 2: random sample from both groups, groups independent, y1 y2 n 1 2,r 2. 2 n : 1 = 2 (population stdev equal) ts = s2 p = (y1 y2) 0 n1 rs2 p(cid:16) 1 q s2 p n1. + s2 p n2 (y1 y2) 0. A (1 )100 ci for (pooled) 1 2 y1 y2 t . Gives a "plausible range" for 1 2. Note: if we use the t-table to nd t rows, round down to next closest (i. e. df = 37 30) 2 ,n1+n2 2 and n2 + n2 2 = df are not exactly in the. = p (type i error) = p (reject true) = p(drawing y1 y2 from tails) Say we are comparing the average yearly salary for men and women in a particular eld. Ha : m w 6= 0 is p = 0. 0026 with 99% ci: (3592,4945).
