Need C Please 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: 13 14 8 4 8Sisters: 15 18 4 13 16 7Assume both follow a Normal distribution. What can be concluded at the = 0.05 level of significancelevel of significance?For this study, we should use t-test for the difference between two independent population meansHo: 10= 8 8 8a. The null and alternative hypotheses would be:H₁: 1b. The test statistic t4 3 4 5 12 7 4 819 12 9 14 7c. The p-value = 0.0101d. The p-value isa-2.813µ2p2(please enter a decimal)(Please enter a decimal)(please show your answer to 3 decimal places.)V the null hypothesis.X (Please show your answer to 4 decimal places.)e. Based on this, we should reject0f. Thus, the final conclusion is that ...O The results are statistically insignificant at 0.05, 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.The results are statistically significant at a = 0.05, 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.The results are statistically significant at a = 0.05, 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 = 0.05, 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.

Question

Need    C   Please 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: 13 14 8 4 8Sisters: 15 18 4 13 16 7Assume both follow a Normal distribution. What can be concluded at the = 0.05 level of significancelevel of significance?For this study, we should use t-test for the difference between two independent population meansHo: 10= 8 8 8a. The null and alternative hypotheses would be:H₁: 1b. The test statistic t4 3 4 5 12 7 4 819 12 9 14 7c. The p-value = 0.0101d. The p-value isa-2.813µ2p2(please enter a decimal)(Please enter a decimal)(please show your answer to 3 decimal places.)V the null hypothesis.X (Please show your answer to 4 decimal places.)e. Based on this, we should reject0f. Thus, the final conclusion is that ...O The results are statistically insignificant at 0.05, 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.The results are statistically significant at a = 0.05, 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.The results are statistically significant at a = 0.05, 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 = 0.05, 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.

Accepted Answer

Test statistic t = -2.813Null and alternate hypothesisH0:μ1=μ2H1:μ1≠μ2

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