8 y y 2 y 2 037 2 find a 90 condence interval for x

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Unformatted text preview: ppose that we are given 2 a sample Y1 , . . . , Y10 � N (µy , αx ) from a distribution with the same variance 2 2 as X s, i.e. αx = αy , but possibly different mean µy . Suppose that ¯ ¯ ¯ µy = Y = 2.8, αy = Y 2 − Y 2 = 0.37. ˆ ˆ2 Find a 90% confidence interval for µx − µy . (6) For samples in problems (4) and (5), perform the t-test of the hyp oth­ esis that µx � µy under the assumption of equal variances. Test whether the variances are equal using the F-test. In both tests,...
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