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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
0.050.05
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
3:1616
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.
H0
H1
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