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# Solved: Let X1,X2, . . . ,Xn be a random sample from N(0, ISBN: 9780321923271 41

## Solution for problem 2E Chapter 8.6

Probability and Statistical Inference | 9th Edition

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Problem 2E

PROBLEM 2E

Let X1,X2, . . . ,Xn be a random sample from N(0, σ2).

(a) Show that C = {(x1, x2, . . . , xn) : is a best critical region for testing H0: σ2 = 4 against H1: σ2= 16.

(b) If n = 15, find the value of c so that α = 0.05. Hint:Recall that (c) If n = 15 and c is the value found in part (b), find the approximate value of σ2 = 16).

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##### ISBN: 9780321923271

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