Suppose that a random sample from a normal population with the known variance Ï2 is to be used to test the null hypothesis µ =

Suppose that a random sample from a normal population with the known variance σ2 is to be used to test the null hypothesis µ = µ0 against the alternative hypothesis µ = µ1, where µ1 > µ0, and that the probabilities of type I and type II errors are to have the preassigned values a and ß. Show that the required size of the sample is given by

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