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Find the most powerful test for the null hypothesis =1 against the alternative hypothesis = 2 with size 0 < <1. b. Is the test

Find the most powerful test for the null hypothesis =1 against the

alternative hypothesis = 2 with size 0 < <1.

b. Is the test in (a) uniformly most powerful ? Explain your answer carefully.

c. Express the power of the test as a function of .

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