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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

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?

Riding times (minutes and seconds)

Mile 1

3:14

3:25

3:22

3:21

3:21

Mile 2

3:19

3:22

3:22

3:17

3:19

Mile 3

3:35

3:31

3:30

3:30

3:30

(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.)

QUESTIONS:

1. Find the F Statistic. F=_______________ (Round to four decimal places as needed.)

2. Find the P-value using the F test statistic. P-value=_______________ (Round to four decimal places as needed.)

3. What is the conclusion? (reject or fail to reject)___________________

4. Does one of the miles appear to have a hill?

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