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Answer: Suppose that a single observation X is taken from

Probability and Statistics | 4th Edition | ISBN: 9780321500465 | Authors: Morris H. DeGroot, Mark J. Schervish ISBN: 9780321500465 233

Solution for problem 1 Chapter 9.9

Probability and Statistics | 4th Edition

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Probability and Statistics | 4th Edition | ISBN: 9780321500465 | Authors: Morris H. DeGroot, Mark J. Schervish

Probability and Statistics | 4th Edition

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Problem 1

Suppose that a single observation X is taken from the normal distribution with unknown mean and known variance is 1. Suppose that it is known that the value of must be 5, 0, or 5, and it is desired to test the following hypotheses at the level of significance 0.05: H0: = 0, H1: = 5 or = 5. Suppose also that the test procedure to be used specifies rejecting H0 when |X| > c, where the constant c is chosen so that Pr(|X| > c| = 0) = 0.05. a. Find the value of c, and show that if X = 2, then H0 will be rejected. b. Show that if X = 2, then the value of the likelihood function at = 0 is 12.2 times as large as its value at = 5 and is 5.9 109 times as large as its value at = 5.

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Chapter 9.9, Problem 1 is Solved
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Textbook: Probability and Statistics
Edition: 4
Author: Morris H. DeGroot, Mark J. Schervish
ISBN: 9780321500465

This textbook survival guide was created for the textbook: Probability and Statistics, edition: 4. Since the solution to 1 from 9.9 chapter was answered, more than 252 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 102 chapters, and 1615 solutions. Probability and Statistics was written by and is associated to the ISBN: 9780321500465. The answer to “Suppose that a single observation X is taken from the normal distribution with unknown mean and known variance is 1. Suppose that it is known that the value of must be 5, 0, or 5, and it is desired to test the following hypotheses at the level of significance 0.05: H0: = 0, H1: = 5 or = 5. Suppose also that the test procedure to be used specifies rejecting H0 when |X| > c, where the constant c is chosen so that Pr(|X| > c| = 0) = 0.05. a. Find the value of c, and show that if X = 2, then H0 will be rejected. b. Show that if X = 2, then the value of the likelihood function at = 0 is 12.2 times as large as its value at = 5 and is 5.9 109 times as large as its value at = 5.” is broken down into a number of easy to follow steps, and 149 words. The full step-by-step solution to problem: 1 from chapter: 9.9 was answered by , our top Statistics solution expert on 01/12/18, 02:58PM.

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Answer: Suppose that a single observation X is taken from