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? fIND THE f STATISTIC: uSING F sTATISTC FIND THE p VALUE Mile 1 3:14 3:25 3:24 3:23 3:20 mile 2 3:19 3:21 3:22 3:16 3:20 mile 3 3:33 3:30 3:28 3:30 3:2

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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?

fIND THE f STATISTIC:

uSING F sTATISTC FIND THE p VALUE

Mile 1 3:14 3:25 3:24 3:23 3:20
mile 2 3:19 3:21 3:22 3:16 3:20
mile 3 3:33 3:30 3:28 3:30 3:28

 

Joes one of the miles appear to have a hill?
Click the icon to view the data table of the riding times.
significance level to test the claim
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?
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.
OB.
OC.
O D. 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.
Does one of the miles appear to have a hill?
O A.
Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that
they both have hills.
Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same
mean ride time.
Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the
same mean ride time.
Click to select your answer(s).
OB. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a
hill.
Transcribed Image Text:Joes one of the miles appear to have a hill? Click the icon to view the data table of the riding times. significance level to test the claim 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? 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. OB. OC. O D. 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. Does one of the miles appear to have a hill? O A. Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that they both have hills. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time. Click to select your answer(s). OB. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a hill.
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