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b) Let Y1, Y2, ..., Y20 be a random sample from a normal distribution with unknown mean u and known variance o = 7. We

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b) Let Y1, Y2, ..., Y20 be a random sample from a normal distribution with unknown mean u and known variance o = 7. We wish to test Ho: u = 19 versus H1: u > 19. The rejection region is y > C(a). Find the most powerful test with significance level 5%. NB: No need not to derive the likelihood test for part b. (4 marks)

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