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? Mile 1 3:1515 3:2323 3:2323 3:2121 3:2121 Mile 2 3:1919 3:2121 3:2222 3:1717 3:1919 Mile 3 3:3535 3:3131 3:3030 3:3131 3:28
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?
|
Mile 1
|
3:1515
|
3:2323
|
3:2323
|
3:2121
|
3:2121
|
|
|---|---|---|---|---|---|---|
|
Mile 2
|
3:1919
|
3:2121
|
3:2222
|
3:1717
|
3:1919
|
|
|
Mile 3
|
3:3535
|
3:3131
|
3:3030
|
3:3131
|
3:28
|
(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.)
a. Determine the null and alternative hypothesis.
Find f test statistic (round to four decimals).
Find p value (round to four decimals).
b. What is the conclusion for this hypothesis test?
Does one of the miles appear to have a hill?
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