A researcher wishes to test the hypothesis H0: m = 160 versus H0: m 7 160. If the sample
size is to be 400 and s = 50 is assumed:
(a) What value of x should be used as the cutoff for rejecting H0 at the 5% significance level?
(b) What is the power of the test if the true mean is (i) 163, (ii) 166?
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