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Suppose Y ~ N(u,1) is a single observation from the normal density. Consider the test H0:...

Suppose Y ~ N(u,1) is a single observation from the normal density. Consider the test H0: u = 0 and H1: u = 1.

Find the most powerful test of size alpha = 0.05 and find the probability of Type II error from this test. Also, find the test that minimizes the sum of the two error probabilities.

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