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...

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

significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a​ hill?

Extracted text: 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 appear to have a hill? E Click the icon to view the data table of the riding times. Determine the null and alternative hypotheses. Riding Times (minutes and seconds) Ho: H,: Find the F test statistic. Mile 1 3:16 3:23 3:22 3:21 3:22 F= (Round to four decimal places as needed.) Mile 2 3:20 3:22 3:22 3:17 3:19 Mile 3 3:35 3:32 3:28 3:31 3:30 Find the P-value using the F test statistic. (Note: when pasting the data into your technology, each mile row will have separate columns for each minute and second entry. You will need to convert each minute/second entry into seconds only.) P-value = (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. Print Done O 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. 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. Fail to reject Hn. 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 third mile appears to take longer, and a reasonable explanation is that it has a hill. O C. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a hill. O D. Yes, these data suggest that the first mile appears to take longer, and a reasonable explanation is that it has a hill. O E. Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that they both have hills.