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A random sample X,X2,...,X, of size n is obtained from a normal distribution with mean, u and variance, 100. We are interested to test H, :u = 120 against H, :u = 124. a) Show that the best critical region for the given test is X2C. b) Find the value of C given that the significance level, a =0.05 and n= 25. c) Calculate the probability of Type II error.

A random sample X,X2,...,X, of size n is obtained from a normal distribution with mean, u and variance, 100. We are interested to test H, :u = 120 against H, :u = 124. a) Show that the best critical region for the given test is X2C. b) Find the value of C given that the significance level, a =0.05 and n= 25. c) Calculate the probability of Type II error.

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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A random sample X,, X,...,X, of size n is obtained from a normal distribution with mean, µ and variance, 100. We are interested to test H, :u = 120 against H, : u= 124. a) Show that the best critical region for the given test is X>C. b) Find the value of C given that the significance level, a =0.05 and n= 25. c) Calculate the probability of Type II error.
Transcribed Image Text:A random sample X,, X,...,X, of size n is obtained from a normal distribution with mean, µ and variance, 100. We are interested to test H, :u = 120 against H, : u= 124. a) Show that the best critical region for the given test is X>C. b) Find the value of C given that the significance level, a =0.05 and n= 25. c) Calculate the probability of Type II error.
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