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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 twelve randomly selected fraternity brothers and twelve randomly selected sorority sisters Brothers 5 10 8 3 6 6 10 Ho Select an answer H Select an answer 6 Sisters 9 7 29 57 2 5 2 7 8 3 Assume both follow a Normal distribution What can be concluded at the a 0 01 level of significance level of significance For this study we should use Select an answer 5 13 11 13 a The null and alternative hypotheses would be Select an answer Select an answer Select an answer Select an answ nswer please enter a decimal Please enter a decimal b The test statistic C c The p value d The p value is a e Based on this we should Select an answer the null hypothesis f Thus the final conclusion is that please show your answer to 3 decimal places Please show your answer to 4 decimal places The results are statistically significant at a 0 01 so there is sufficient evidence to conclude that the mean volunteer hours for the twelve fraternity brothers that were surveyed is not the same as the mean volunteer work hours for the twelve sorority sisters that were surveyed The results are statistically significant at a 0 01 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 The results are statistically insignificant at a 0 01 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 insignificant at a 0 01 so there is insufficient 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

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