Question: Problem 8.11 Suppose we use a sample of size n = 25 taken from a normal distribution with = 10 to test the hypothesis

Problem 8.11 Suppose we use a sample of size n = 25 taken from a normal distribution with σ = 10 to test the hypothesis H0: µ = 50 against H1 : µ

= 50.

(a) Construct a test of H0 with significance level α = 0.05 by constructing a 95% confidence interval for µ.

(b) Describe the rejection region of the test in part (a).

(c) What is the P-value corresponding to x = 53? x = 46?

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