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
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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