Let X1, X2, ... , Xn be a random sample of size n from the normal distribution N(, 100)

Chapter 8, Problem 8.7-3

(choose chapter or problem)

Let X1, X2, ... , Xn be a random sample of size n from the normal distribution N(, 100). (a) To test H0: = 230 against H1: > 230, what is the critical region specified by the likelihood ratio test criterion? (b) Is this test uniformly most powerful? (c) If a random sample of n = 16 yielded x = 232.6, is H0 accepted at a significance level of = 0.10? (d) What is the p-value of this test?

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