You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho:μ ≤ 25 H₂:μ> 25 A sample of 40 provided a sample mean of 26.5. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At a = 0.01, state your conclusion. Reject Ho. There is sufficient evidence to conclude that μ > 25. Reject Ho. There is insufficient evidence to conclude that μ > 25. Do not reject Ho. There is sufficient evidence to conclude that µ > 25. Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho:μ ≤ 25 H₂:μ> 25 A sample of 40 provided a sample mean of 26.5. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At a = 0.01, state your conclusion. Reject Ho. There is sufficient evidence to conclude that μ > 25. Reject Ho. There is insufficient evidence to conclude that μ > 25. Do not reject Ho. There is sufficient evidence to conclude that µ > 25. Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
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
Question 13
![You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Ηγ: μ ≤ 25
H₂:μ > 25
a
A sample of 40 provided a sample mean of 26.5. The population standard deviation is 6.
(a) Find the value of the test statistic. (Round your answer to two decimal places.)
(b) Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) At a = 0.01, state your conclusion.
O Reject Ho. There is sufficient evidence to conclude that μ > 25.
O Reject Ho. There is insufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is sufficient evidence to conclude that μ > 25.
Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
(d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused
tail.)
test statistic <
test statistic >
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that μ > 25.
Reject Ho
There is insufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is sufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is insufficient evidence to conclude that μ > 25.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17f646ba-b993-4044-9bb2-45d012c56776%2Ffbf015b2-aae5-42b1-8be2-0a664eb10fc5%2Fgbdbb4i_processed.png&w=3840&q=75)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Ηγ: μ ≤ 25
H₂:μ > 25
a
A sample of 40 provided a sample mean of 26.5. The population standard deviation is 6.
(a) Find the value of the test statistic. (Round your answer to two decimal places.)
(b) Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) At a = 0.01, state your conclusion.
O Reject Ho. There is sufficient evidence to conclude that μ > 25.
O Reject Ho. There is insufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is sufficient evidence to conclude that μ > 25.
Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
(d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused
tail.)
test statistic <
test statistic >
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that μ > 25.
Reject Ho
There is insufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is sufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
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 3 steps with 1 images
![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