Consider a problem with the following hypothesis test at the 5% level of significance: H: u = 4, H : µ> 4. The population standard deviation is given as 0.08 and the sample size is 25. The z test statistic is: (X - 4) 0.08//25 a) What is the probability of a Type 1 error? b) What is the decision rule for explicitly in terms of X ? ie find the Xc, the critical value for the decision, and then write down the decision rule in terms of X. c) What is the probability of Type 2 error and the power of the test when µ=4.04. d) You are informed that X = 4.01, calculate p-value of the test. e) According to p-value you find in part 'd' what are your decisions if a=0.05 and a=0.10.
Consider a problem with the following hypothesis test at the 5% level of significance: H: u = 4, H : µ> 4. The population standard deviation is given as 0.08 and the sample size is 25. The z test statistic is: (X - 4) 0.08//25 a) What is the probability of a Type 1 error? b) What is the decision rule for explicitly in terms of X ? ie find the Xc, the critical value for the decision, and then write down the decision rule in terms of X. c) What is the probability of Type 2 error and the power of the test when µ=4.04. d) You are informed that X = 4.01, calculate p-value of the test. e) According to p-value you find in part 'd' what are your decisions if a=0.05 and a=0.10.
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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Can you ansver part d and part e please
Transcribed Image Text:Consider a problem with the following hypothesis test at the 5% level of significance:
H: u = 4, H : u > 4. The population standard deviation is given as 0.08 and the sample size
is 25. The z test statistic is:
(X – 4)
0.08//25
Z test
a) What is the probability of a Type 1 error?
b) What is the decision rule for explicitly in terms of X ? ie find the Xc, the critical value for
the decision, and then write down the decision rule in terms of X.
c) What is the probability of Type 2 error and the power of the test when u=4.04.
d) You are informed that X = 4.01, calculate p-value of the test.
e) According to p-value you find in part 'd' what are your decisions if a=0.05 and a=0.10.
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