Stats

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