A random number generator software outputs a number from 0 to 1. If the numbers are truly randomly-generated then the population mean must be 0.5. Suppose you ran a command to generate 150 numbers and you obtained a mean of 0.536 and a standard deviation of 0.312. At 1% level of significance, test the hypothesis that the numbers are not truly randomly-generated.
A random number generator software outputs a number from 0 to 1. If the numbers are truly randomly-generated then the population mean must be 0.5. Suppose you ran a command to generate 150 numbers and you obtained a mean of 0.536 and a standard deviation of 0.312. At 1% level of significance, test the hypothesis that the numbers are not truly randomly-generated.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer the following problem about hypothesis testing.
![A random number generator software outputs a number from 0 to 1. If the numbers
are truly randomly-generated then the population mean must be 0.5. Suppose you
ran a command to generate 150 numbers and you obtained a mean of 0.536 and a
standard deviation of 0.312. At 1% level of significance, test the hypothesis that the
numbers are not truly randomly-generated.
1. Test Stat:
2. Critical Region:
a. T> abs (2.567)
b. T< -2.567
c. T> abs (2.326)
d. T> 2.567
3. Conclusion: At 1% level of significance
a. the numbers are truly randomly generated
b. no evidence that the numbers are truly randomly-generated](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb4e7eaf-fc8a-4a28-807c-7b9f451fe6e4%2F2487451c-bbd5-4fe0-9026-1930fbc95f31%2F8jc07bc_processed.png&w=3840&q=75)
Transcribed Image Text:A random number generator software outputs a number from 0 to 1. If the numbers
are truly randomly-generated then the population mean must be 0.5. Suppose you
ran a command to generate 150 numbers and you obtained a mean of 0.536 and a
standard deviation of 0.312. At 1% level of significance, test the hypothesis that the
numbers are not truly randomly-generated.
1. Test Stat:
2. Critical Region:
a. T> abs (2.567)
b. T< -2.567
c. T> abs (2.326)
d. T> 2.567
3. Conclusion: At 1% level of significance
a. the numbers are truly randomly generated
b. no evidence that the numbers are truly randomly-generated
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman