a. What is the likelihood ratio as a function of x? What values favor H0? What is the rejection region of a level α test?
b. For a sample, X1, X2, . . . , Xn distributed as above, repeat the previous question.
c. Is the test in the previous question uniformly most powerful for testing H0 : σ = σ0 versus H1 : σ > σ0 ?
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