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b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = (0x0-1,if 0

b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = (0x0-1,if 0

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 X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0x0-¹,if 0 < x < 1, 8 € (1,2), elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. Suppose that the test rejects H₁ if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
Transcribed Image Text:b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0x0-¹,if 0 < x < 1, 8 € (1,2), elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. Suppose that the test rejects H₁ if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0x0-¹,if 0 < x < 1, 8 € (1,2), elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. Suppose that the test rejects H₁ if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
Transcribed Image Text:b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0x0-¹,if 0 < x < 1, 8 € (1,2), elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. Suppose that the test rejects H₁ if x > i) Find the level of significance of the test, a. ii) Calculate the power of the test.
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a.. level of significance

b...power of test 

 

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