A certain statistics instructor participates in triathlons The accompanying table lists times in minutes and seconds he recorded

Question

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 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 Click the icon to view the data table of the riding times Determine the null and alternative hypotheses Ho H Find the F test statistic F Round to four decimal places as needed Find the P value using the F test statistic P value Round to four decimal places as needed What is the conclusion for this hypothesis test Riding Times minutes and seconds Mile 1 Mile 2 Mile 3 3 14 3 25 3 23 3 22 3 21 3 18 3 21 3 22 3 18 3 18 3 35 3 31 3 28 3 32 3 29 Does one of the miles appear to have a hill OA Yes these data suggest that the third mile appears to take longer and a reasonable explanation is that it has a hill B Yes these data suggest that the first mile appears to take longer and a reasonable explanation is that it has a hill OC No these data do not suggest that any of the miles have a hill O D Yes these data suggest that the second mile appears to take longer and a reasonable explanation is that it has a hill 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 Print O A Reject Ho There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time OB 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 OC 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 OD Reject Ho There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time D Done

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