A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: Ho: PF = PT PT H₁: PF t = Ho:μF = HT H₁:μF > HT Ho: PF = PT H₁: PF PT p= Ho:μF = HT H₁: PF PT Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. Ho: PF = HT H1:μF
A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: Ho: PF = PT PT H₁: PF t = Ho:μF = HT H₁:μF > HT Ho: PF = PT H₁: PF PT p= Ho:μF = HT H₁: PF PT Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. Ho: PF = HT H1:μF
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
![A student at a four-year college claims that mean
enrollment at four-year colleges is higher than at two-
year colleges in the United States. Two surveys are
conducted. Of the 35 four-year colleges surveyed, the
mean enrollment was 5,466 with a standard deviation
of 8,191. Of the 35 two-year colleges surveyed, the
mean enrollment was 5,068 with a standard deviation
of 4,777. Test the student's claim at the 0.10
significance level.
a) The null and alternative hypothesis would be:
Ho: PF = PT
H1: PF PT
t =
Ho: μF = HT
Hy: MF > με
Ho: PF = PT
H₁: PF > PT
P =
O Ho: HF = HT
H₁:μF T
O Ho: PF = PT
H₁: PF PT
b) Determine the test statistic. Round to two decimals.
OH:#F = UT
H: μF < με
c) Find the p-value and round to 4 decimals.
d) Make a decision.
O Reject the null hypothesis
O Fail to reject the null hypothesis
e) Write the conclusion.
There is sufficient evidence to support the claim
that enrollement is high at a four-year college
than a two-year college.
There is not sufficient evidence to support the
claim that enrollement is high at a four-year
college than a two-year college.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fe45194-e1a9-4901-b715-7f22cd2e7bb2%2F3f78c949-52c0-49e6-8698-359ae6691c36%2Fezzu0i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A student at a four-year college claims that mean
enrollment at four-year colleges is higher than at two-
year colleges in the United States. Two surveys are
conducted. Of the 35 four-year colleges surveyed, the
mean enrollment was 5,466 with a standard deviation
of 8,191. Of the 35 two-year colleges surveyed, the
mean enrollment was 5,068 with a standard deviation
of 4,777. Test the student's claim at the 0.10
significance level.
a) The null and alternative hypothesis would be:
Ho: PF = PT
H1: PF PT
t =
Ho: μF = HT
Hy: MF > με
Ho: PF = PT
H₁: PF > PT
P =
O Ho: HF = HT
H₁:μF T
O Ho: PF = PT
H₁: PF PT
b) Determine the test statistic. Round to two decimals.
OH:#F = UT
H: μF < με
c) Find the p-value and round to 4 decimals.
d) Make a decision.
O Reject the null hypothesis
O Fail to reject the null hypothesis
e) Write the conclusion.
There is sufficient evidence to support the claim
that enrollement is high at a four-year college
than a two-year college.
There is not sufficient evidence to support the
claim that enrollement is high at a four-year
college than a two-year college.
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.
Step by step
Solved in 3 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