I just need help with b and c. Thank you !! Members of fraternities and sororities are required to volunteer for community service. Do fraternitybrothers work more volunteer hours on average than sorority sisters? The data below show the number ofvolunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selectedsorority sisters.Brothers: 14810587143129 513Sisters: 96353447Assume both follow a Normal distribution. What can be concluded at the = 0.10 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:Ho: u1µ2(please enter a decimal)%3DH1:µ1(Please enter a decimal)>b. The test statistic t v(please show your answer to 3 decimal places.)c. The p-value =(Please show your answer to 4 decimal places.)%3D

Name: I just need help with b and c. Thank you !! Members of fraternities an
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: I just need help with b and c. Thank you !! Members of fraternities and sororities are required to volunteer for community service. Do fraternitybrothers work more volunteer hours on average than sorority sisters? The data below show the number ofvol

Given: Brothers are taken as group 1 Sisters are taken as group 2 n1=13n2=11α=0.10using the excel formula "=AVERAGE(A2:A14)" sample mean of brothersx¯1=8.692 using the excel formula "=STDEV.S(A2:A14)" sample standard deviation of brotherss1=3.706 using the excel formula "=AVERAGE(B2:B12)" sample mean of sistersx¯2=5 using the excel formula "=STDEV.S(B2:B12)" sample standard deviation of sisterss2=2.049 Degrees of freedom DF=((s12/n1)+(s12/n1))2(s12/n1)2n1-1+(s22/n2)2n2-1=((3.7062/13)+(2.0492/11))2(3.7062/13)213-1+(2.0492/11)211-1=19.225≅19 Test statistic t=x¯1-x¯1s12n1+s22n2=8.692-53.706213+2.049211=3.079 b. Test statistic =3.079 using the excel formula "=T.DIST.RT(3.079,19)" p-value =0.0031 c. p-value=0.0031