sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the reguired hypothesis test about the mean, u, of the population from which the šample was drawn. ritical-value approach. = 40.4, s = 5.9, n= 15, Ho: H= 32.6, H:#32.6, a= 0.05. O A. Test statistic: t=5.12. Critical values: t= +1.96. Do not reject Ho: u= 32.6. There is not sufficient evidence to support the claim that the mean is different from 32.6. O B. Test statistic: t=5.12. Critical values: t= +2.145. Reject Ho: u= 32.6. There is sufficient evidence to support the claim that the mean is different from 32.6. O C. Test statistic: t= 5.12. Critical values: t= +1.96. Reject Ho: u= 32.6. There is sufficient evidence to support the claim that the mean is different from 32.6. O D. Test statistic: t= 5.12. Critical values: t= +2.145. Do not reject Ho: H= 32.6. There is not sufficient evidence to support the claim that the mean is different from 32.6.
sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the reguired hypothesis test about the mean, u, of the population from which the šample was drawn. ritical-value approach. = 40.4, s = 5.9, n= 15, Ho: H= 32.6, H:#32.6, a= 0.05. O A. Test statistic: t=5.12. Critical values: t= +1.96. Do not reject Ho: u= 32.6. There is not sufficient evidence to support the claim that the mean is different from 32.6. O B. Test statistic: t=5.12. Critical values: t= +2.145. Reject Ho: u= 32.6. There is sufficient evidence to support the claim that the mean is different from 32.6. O C. Test statistic: t= 5.12. Critical values: t= +1.96. Reject Ho: u= 32.6. There is sufficient evidence to support the claim that the mean is different from 32.6. O D. Test statistic: t= 5.12. Critical values: t= +2.145. Do not reject Ho: H= 32.6. There is not sufficient evidence to support the claim that the mean is different from 32.6.
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
17. See photo
![A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach.
Given:
- \( \bar{x} = 40.4 \)
- \( s = 5.9 \)
- \( n = 15 \)
- \( H_0: \mu = 32.6 \)
- \( H_a: \mu \neq 32.6 \)
- \( \alpha = 0.05 \)
Options:
**A.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 1.96 \)
- Conclusion: Do not reject \( H_0: \mu = 32.6 \). There is not sufficient evidence to support the claim that the mean is different from 32.6.
**B.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 2.145 \)
- Conclusion: Reject \( H_0: \mu = 32.6 \). There is sufficient evidence to support the claim that the mean is different from 32.6.
**C.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 1.96 \)
- Conclusion: Reject \( H_0: \mu = 32.6 \). There is sufficient evidence to support the claim that the mean is different from 32.6.
**D.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 2.145 \)
- Conclusion: Do not reject \( H_0: \mu = 32.6 \). There is not sufficient evidence to support the claim that the mean is different from 32.6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1040e022-d5a2-4c44-bf9e-174d9acb3c38%2Fdb8a1842-0811-451a-a293-988eef70dd22%2Fmx6cinq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach.
Given:
- \( \bar{x} = 40.4 \)
- \( s = 5.9 \)
- \( n = 15 \)
- \( H_0: \mu = 32.6 \)
- \( H_a: \mu \neq 32.6 \)
- \( \alpha = 0.05 \)
Options:
**A.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 1.96 \)
- Conclusion: Do not reject \( H_0: \mu = 32.6 \). There is not sufficient evidence to support the claim that the mean is different from 32.6.
**B.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 2.145 \)
- Conclusion: Reject \( H_0: \mu = 32.6 \). There is sufficient evidence to support the claim that the mean is different from 32.6.
**C.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 1.96 \)
- Conclusion: Reject \( H_0: \mu = 32.6 \). There is sufficient evidence to support the claim that the mean is different from 32.6.
**D.**
- Test statistic: \( t = 5.12 \)
- Critical values: \( t = \pm 2.145 \)
- Conclusion: Do not reject \( H_0: \mu = 32.6 \). There is not sufficient evidence to support the claim that the mean is different from 32.6.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1: Given information
According to the given information, we have
Sample mean = 40.4
Sample standard deviation = 5.9
Sample size = 15
Level of significance = 0.05
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