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Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters?

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Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and ten randomly selected sorority sisters. Brothers: 4 4 36 14 3 10 11 5 8 3 11 13 Sisters: 10 8 13 14 11 5 16 11 5 16 Assume both follow a Normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic | ? c. The p-value= d. The p-value is ? a (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is statistically significant evidence to conclude that the population mean volunteer hours for fraternity brothers is equal to the population mean volunteer work hours for sorority sisters. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean volunteer hours for the thirteen fraternity brothers that were surveyed is less than the mean volunteer work hours for the ten sorority sisters that were surveyed. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters.

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