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b) Let X₁, X2,..., Xn be a random sample with the following probability density function i) ii) iii) If n = 7, use the fact f(x) = - size a = 0.01. 2 xe Show that the best critical region for testing Ho : B = 4 against H₁: B=8 is £x; ≥C. i=1 n N.11 X В B² , x > 0 elsewhere X₁ is xn to determine the best critical region Based on the critical value in (ii), compute the power of the test.

b) Let X₁, X2,..., Xn be a random sample with the following probability density function i) ii) iii) If n = 7, use the fact f(x) = - size a = 0.01. 2 xe Show that the best critical region for testing Ho : B = 4 against H₁: B=8 is £x; ≥C. i=1 n N.11 X В B² , x > 0 elsewhere X₁ is xn to determine the best critical region Based on the critical value in (ii), compute the power of the test.

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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b) Let X₁, X2,..., Xn be a random sample with the following probability density function i) ii) iii) f(x) = If n = 7, use the fact that size a = 0.01. хе в BB2 0 X Show that the best critical region for testing Ho : B = 4 against H₁: B=8 is £x; ≥C. i=1 n SENT X>0 , elsewhere X; is xan to X4n etermine the best critical region of Based on the critical value in (ii), compute the power of the test.
Transcribed Image Text:b) Let X₁, X2,..., Xn be a random sample with the following probability density function i) ii) iii) f(x) = If n = 7, use the fact that size a = 0.01. хе в BB2 0 X Show that the best critical region for testing Ho : B = 4 against H₁: B=8 is £x; ≥C. i=1 n SENT X>0 , elsewhere X; is xan to X4n etermine the best critical region of Based on the critical value in (ii), compute the power of the test.
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