Question: 1 = (11,12, ... , 1 ) and 2 = (21,22, ... , 2), = = 11 are drawn independently from two populations whose variances

1 = (11,12, ... , 1 ) and 2 = (21,22, ... , 2), = = 11 are drawn independently from two populations whose variances are equal, i.e.1 2 = 2 2 . Sample means are 1 = 35.5 and 2 = 31.7; sample variances are 1 2 = 4.6 and 2 2 = 7.8. Then test 0: 1 2 = 3 against 1: 1 3 3 at significance level = 0.05.

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