Homework Help is Here – Start Your Trial Now!
Math
Statistics
c. The p-value = 0.0101 x (Please show your answer to 4 decimal p

c. The p-value = 0.0101 x (Please show your answer to 4 decimal p

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

Need    C   Please

Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. - **Brothers:** 13, 14, 8, 4, 3, 4, 5, 12, 7, 14, 8 - **Sisters:** 15, 18, 4, 13, 5, 7, 19, 12, 19, 14, 7 Assume both follow a Normal distribution. What can be concluded at the α = 0.05 level of significance? For this study, we use a **t-test for the difference between two independent population means**. ### a. The null and alternative hypotheses would be: - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 \neq \mu_2 \) ### b. The test statistic - Test statistic \( t = -2.813 \) ### c. The p-value - p-value = 0.0101 ### d. The p-value is \( \leq \alpha \) ### e. Based on this, we should: - **Reject** the null hypothesis. ### f. Thus, the final conclusion is that: - The results are statistically significant at \( \alpha = 0.05 \), so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters.
Transcribed Image Text:Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. - **Brothers:** 13, 14, 8, 4, 3, 4, 5, 12, 7, 14, 8 - **Sisters:** 15, 18, 4, 13, 5, 7, 19, 12, 19, 14, 7 Assume both follow a Normal distribution. What can be concluded at the α = 0.05 level of significance? For this study, we use a **t-test for the difference between two independent population means**. ### a. The null and alternative hypotheses would be: - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 \neq \mu_2 \) ### b. The test statistic - Test statistic \( t = -2.813 \) ### c. The p-value - p-value = 0.0101 ### d. The p-value is \( \leq \alpha \) ### e. Based on this, we should: - **Reject** the null hypothesis. ### f. Thus, the final conclusion is that: - The results are statistically significant at \( \alpha = 0.05 \), so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters.
Expert Solution
Step 1: We have given that

Test statistic t = -2.813

Null and alternate hypothesis

H0:μ1=μ2

H1:μ1≠μ2


steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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