Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for 13 randomly selected fraternity brothers and 13 randomly selected sorority sisters. Frat 16 12 5 24 32 9 17 11 5 8 14 5 10 Sor 8 11 7 19 7 3 6 18 8 6 10 24 16 Assume that both populations follow a normal distribution. What can be concluded at the 0.01 level of significance? H0: Frat = Sor Ha: Frat [ Select ] ["Not Equal To", ">", "<"] Sor Test statistic: [ Select ] ["Z", "T"] p-Value = [ Select ] ["0.50", "0.012", "0.25", "0.006"] [ Select ] ["Fail to reject Ho", "Reject Ho"] Conclusion: There is [ Select ] ["statistically significant", "insufficient"] evidence to make the conclusion that fraternity brothers work more volunteer hours on average than sorority sisters.

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Description: Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for 13 randomly select

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for 13 randomly selected fraternity brothers and 13 randomly selected sorority sisters.

Frat	16	12	5	24	32	9	17	11	5	8	14	5	10
Sor	8	11	7	19	7	3	6	18	8	6	10	24	16

Assume that both populations follow a normal distribution. What can be concluded at the 0.01 level of significance?

H₀: _Frat = _Sor

H_a: _Frat [ Select ] ["Not Equal To", ">", "<"] _Sor

Test statistic: [ Select ] ["Z", "T"]

p-Value = [ Select ] ["0.50", "0.012", "0.25", "0.006"]

[ Select ] ["Fail to reject Ho", "Reject Ho"]

Conclusion: There is [ Select ] ["statistically significant", "insufficient"] evidence to make the conclusion that fraternity brothers work more volunteer hours on average than sorority sisters.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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