Members of fraternities and sororities are required to volunteer for community service. Do fraternitybrothers work an equal number of volunteer hours on average compared to sorority sisters? The data belowshow the number of volunteer hours worked for thirteen randomly selected fraternity brothers and elevenrandomly selected sorority sisters.Brothers: 14111384124118 48 7Sisters: 1771616151191117Assume both follow a Normal distribution. What can be concluded at the a = 0.01 level of significancelevel of significance?For this study, we should use t-test for the difference between two independent population means va. The null and alternative hypotheses would be:Но: р1u2vv (please enter a decimal)H: p1u2vv (Please enter a decimal)b. The test statistic t v-1.856X (please show your answer to 3 decimal places.)c. The p-value = 22X (Please show your answer to 4 decimal places.)d. The p-value is >vV ae. Based on this, we should fail to rejectthe null hypothesis.f. Thus, the final conclusion is that ...O The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the mean volunteer hours for the thirteen fraternity brothers that were surveyed is notthe same as the mean volunteer work hours for the eleven sorority sisters that were surveyed.O The results are statistically insignificant at a = 0.01, so there is insufficient evidence toconclude that the population mean volunteer hours for fraternity brothers is not the same asthe population mean volunteer work hours for sorority sisters.O The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the population mean volunteer hours for fraternity brothers is not the same as thepopulation mean volunteer work hours for sorority sisters.O The results are statistically insignificant at a = 0.01, so there is statistically significantevidence to conclude that the population mean volunteer hours for fraternity brothers is equalto the population mean volunteer work hours for sorority sisters.

The data shows the volunteer hours worked for thirteen randomly selected sorority sisters.

Answered: Members of fraternities and sororities…

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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