Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Textbook Question
Chapter 10.10, Problem 104E
Refer to the random sample of Exercise 10.103.
a Find the most powerful α-level test for testing H0 : θ = θ0 against Ha : θ = θa, where θa > θ0.
b Is the test in part (a) uniformly most powerful for testing H0 : θ = θ0 against Ha :θ > θ0?
c Is the most powerful α-level test that you found in part (a) unique?
10.103 Let Y1, Y2, …, Yn denote a random sample from a uniform distribution over the interval (0, θ).
a Find the most powerful α-level test for testing H0 : θ = θ0 against Ha : θ = θa, where θa < θ0.
b Is the test in part (a) uniformly most powerful for testing H0 : θ = θ0 against Ha : θ < θ0?
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Chapter 10 Solutions
Mathematical Statistics with Applications
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