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ii) Find the power of the test which rejects H, if Y> 1.

ii) Find the power of the test which rejects H, if Y> 1.

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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2.STATISTICAL INFERENCE
Question 4 a ii)

a) Let y be a random variable whose probability density function and cumulative distribution function is given by and, f(y; 0) = ey-8 (1+83-8)² F(y; 0) = 1 1 1+63-9 J -∞0 <y <∞ and -∞ < 0 <∞, -∞⁰ <y <∞ and -∞ <<∞, respectively. Suppose that it is desired to test the null hypothesis Ho: 0 = 0 against the alternative hypothesis H₁:0 = 1 using one random observation Y. ii) Find the power of the test which rejects H, if Y > 1.
Transcribed Image Text:a) Let y be a random variable whose probability density function and cumulative distribution function is given by and, f(y; 0) = ey-8 (1+83-8)² F(y; 0) = 1 1 1+63-9 J -∞0 <y <∞ and -∞ < 0 <∞, -∞⁰ <y <∞ and -∞ <<∞, respectively. Suppose that it is desired to test the null hypothesis Ho: 0 = 0 against the alternative hypothesis H₁:0 = 1 using one random observation Y. ii) Find the power of the test which rejects H, if Y > 1.
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