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

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 2E Chapter 8.6

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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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Chapter 8.6, Problem 2E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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

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