Suppose that for a given population with σ = 7:2 we want to test H0:μ = 80 against H1:μ 80 based on a sample of n = 100.
(a) If the null hypothesis is rejected when y 76, what is the probability of a type I error?
(b) What would be the rejection region if we wanted to have a level of significance of exactly 0.05?
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