Suppose that independent random samples of size n from two normal populations with the known variances Iuml 21 and Iuml 22 are to be used to test the null hypothesis micro 1 micro 2 t against the alternative hypothesis micro 1 micro 2 d and that the probabilities of type I and type II errors are to have the preassigned values a and Icirc sup2 Show that the required size of the sample is given by (8 802

Question: Suppose that independent random samples of size n from two normal populations with the known variances Ï21 and Ï22 are to be used to test

Suppose that independent random samples of size n from two normal populations with the known variances Ïƒ21 and Ïƒ22 are to be used to test the null hypothesis µ1 €“ µ2 = ˆ‚t against the alternative hypothesis µ1 €“ µ2 = d and that the probabilities of type I and type II errors are to have the preassigned values a and Î². Show that the required size of the sample is given by

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