Question: Suppose that a statistician wants to test the hypothesis that the mean of a normally distributed population is .536 against the alternative that the mean

Suppose that a statistician wants to test the hypothesis that the mean of a normally distributed population is .536 against the alternative that the mean is not equal to .536. He decides to use a = .01, and he wants /3 = .05 when the true value of the mean is .540. Approximately how large should his sample size be if he assumes that a = .01 ?

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