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4 points) Is your test given in (a) uniformly most powerful for the enlarged alternative H1 : < 2? Why or why not? (c) (8

4 points) Is your test given in (a) uniformly most powerful for the enlarged alternative H1 : < 2? Why or why not? (c) (8 points) Derive the likelihood ratio test for testing H0 : = 2 versus H1 : 6 = 2. State an approximation to the distribution of 2 log under H0 when n is large. You do not need to prove this fact. 2

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