Homework Help is Here – Start Your Trial Now!
Math
Statistics
You create a new hypothesis test on data X1, ..., X100 with the null assumptions that they are Normally distributed with mean 10 and variance 4. You decide to use a custom hypothesis test with X – 10 Ф p-value /4/100, Recall that X is the sample mean of the data. You will reject the test if p-value < 0.01. (a) What is the type I error rate of this test? (b) If X1,..., X100 are normally distributed with mean 11 and variance 4, what is the type II error rate of this test? (c) If X1,..., X100 are normally distributed with mean 9 and variance 16, what is the type II error rate of this test?

You create a new hypothesis test on data X1, ..., X100 with the null assumptions that they are Normally distributed with mean 10 and variance 4. You decide to use a custom hypothesis test with X – 10 Ф p-value /4/100, Recall that X is the sample mean of the data. You will reject the test if p-value < 0.01. (a) What is the type I error rate of this test? (b) If X1,..., X100 are normally distributed with mean 11 and variance 4, what is the type II error rate of this test? (c) If X1,..., X100 are normally distributed with mean 9 and variance 16, what is the type II error rate of this 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
See similar textbooks
icon
Related questions
Question
You create a new hypothesis test on data X1,... , X100 with the null assumptions that they are Normally distributed with mean 10 and variance 4. You decide to use a custom hypothesis test with X – 10 Ф p-value V4/100 Recall that X is the sample mean of the data. You will reject the test if p-value < 0.01. (a) What is the type I error rate of this test? (b) If X1,..., X100 are normally distributed with mean 11 and variance 4, what is the type II error rate of this test? (c) If X1,..., X100 are normally distributed with mean 9 and variance 16, what is the type •• ) II error rate of this test?
Transcribed Image Text:You create a new hypothesis test on data X1,... , X100 with the null assumptions that they are Normally distributed with mean 10 and variance 4. You decide to use a custom hypothesis test with X – 10 Ф p-value V4/100 Recall that X is the sample mean of the data. You will reject the test if p-value < 0.01. (a) What is the type I error rate of this test? (b) If X1,..., X100 are normally distributed with mean 11 and variance 4, what is the type II error rate of this test? (c) If X1,..., X100 are normally distributed with mean 9 and variance 16, what is the type •• ) II error rate of this test?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS