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 a0.050.05significance 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 |
3:1616 |
3:2323 |
3:2323 |
3:2121 |
3:2222 |
| Mile 2 |
3:1919 |
3:2323 |
3:2222 |
3:1818 |
3:1818 |
| Mile 3 |
3:3535 |
3:3030 |
3:2828 |
3:3030 |
3:3030 |
(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.)Determine the null and alternative hypotheses.