I am struggling to solve this problem, please help. Thank you. A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appearto have a hill?E Click the icon to view the data table of the riding times.Riding times (minutes and seconds)Determine the null and alternative hypotheses.НоH,:Mile 13:163:233:233:223:21Mile 2 3:183:213:223:163:19Find the F test statistic.Mile 33:343:313:293:303:28F=(Round to four decimal places as needed.)(Note: when pasting the data into your technology, eachmile row will have separate columns for each minute andsecond entry. You will need to convert each minute/secondentry into seconds only.)Find the P-value using the F test statistic.P-value =D (Round to four decimal places as needed.)What is the conclusion for this hypothesis test?O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.PrintDoneO B. Reject Hn. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.Does one of the miles appear to have a hill?O A. No, these data do not suggest that any of the miles have a hill.O B. Yes, these data suggest that the first mile appears to take longer, and a reasonable explanation is that it has a hill.O C. Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that they both have hills.O D. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a hill.O E. Yes, these data suggest that the third mile appears to take longer, and a reasonable explanation is that it has a hill. Determine the null and alternative hypotheses.HoFindF= [H1 = 42 = H3FindExactly one of the three population means is different from the others.P-vaWhaH1 > H2 > H3At least one of the three population means is different from the others.O EH1 # H2 # H3

By applying the ANOVA test, Null and alternative hypothesis: Ho: µ1 = µ2 = µ3 (All means are equal) Ha : Not all means are equal. Given data,Test statistic(F) : SS(between) = 0.03450 SS(within) = 0.00760 k = no of treatments = 3 N = total sum = 5+5+5 = 15 df(between) = k-1 = 3-1 = 2 df(within) = N-k = 15-3 = 12 df( total ) = N-1 = 15-1 = 14 MS(between) = SS(between)/df(between) = 0.03450/2 = 0.0173 MS(within) = SS(within/df(within) = 0.00760/12 = 0.0006 Test statistic (F) = MS(between)/MS(within) = 0.0173/0.0006 = 27.2368 P-value = 0.000035 ( BY USING EXCEL) significance level α = 0.05 Since P-value < significance level α, we reject the null hypothesis. Reject H0: There is sufficient evidence to warrant rejection of the claim that the 3 different miles have the same mean ride time Yes, these data suggest that the 3rd mile appears to take longer, and a reasonable explanation is that it has a hill