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Quastion9: Suppose that we have a random sample X₁, X2, ..., Xn from the distribution with pdf 203x²e-1/0 f(x; 0) = = I(0,0)(x) (a) Find the best (most powerful) test of size a of Ho: 0 = 0o versus H₁ : 0 = 0₁, assur that 0100. Give your answer in terms of a chi-squared critical value. (b) Is your test uniformly most powerful for the alternative hypothesis H₁:0> 00?

Quastion9: Suppose that we have a random sample X₁, X2, ..., Xn from the distribution with pdf 203x²e-1/0 f(x; 0) = = I(0,0)(x) (a) Find the best (most powerful) test of size a of Ho: 0 = 0o versus H₁ : 0 = 0₁, assur that 0100. Give your answer in terms of a chi-squared critical value. (b) Is your test uniformly most powerful for the alternative hypothesis H₁:0> 00?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Quastion9: Suppose that we have a random sample X₁, X2, ..., Xn from the distribution with pdf f(x; 0) 203 x² e (a) Find the best (most powerful) test of size a of Ho: 0 = 0o versus H₁ : 0 = 01, assum that 0₁100. Give your answer in terms of a chi-squared critical value. (b) Is your test uniformly most powerful for the alternative hypothesis H₁:0> 00? -x/0 I (0,∞) (x) Dr. Asieh Abtahi- Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran
Transcribed Image Text:Quastion9: Suppose that we have a random sample X₁, X2, ..., Xn from the distribution with pdf f(x; 0) 203 x² e (a) Find the best (most powerful) test of size a of Ho: 0 = 0o versus H₁ : 0 = 01, assum that 0₁100. Give your answer in terms of a chi-squared critical value. (b) Is your test uniformly most powerful for the alternative hypothesis H₁:0> 00? -x/0 I (0,∞) (x) Dr. Asieh Abtahi- Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran
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