A certain statistics instructor participates in triathlons. The accompanying table lists times(in minutes andseconds) he recorded while riding a bicycle for five laps through each mile of a3-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 ahill?

Mile 1

3:16

3:24

3:22

3:22

3:20

Mile 2

3:20

3:23

3:21

3:18

3:20

Mile 3

3:34

3:30

3:28

3:32

3:30

Determine the null and alternative hyptheses

H0: and H1:

Possible Answers

A. At least one of the three population means is different from the others.

B. Exactly two of the population means are different from each other

C. u1=u2=u3

D.u1>u2.u3

E. u1=/ u2=/u3

Find the F test statistic

F=

Find the P- Value using the F test statistic

P-Value=

What is the conclusion for this hypothesistest?

A.

Reject H0. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.

B.

Reject H0. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.

C.

Failtoreject H0. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.

D.

Failtoreject H0. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.

Does one of the miles appear to have ahill?

A.

Yes, these data suggest that the second mile appears to takelonger, and a reasonable explanation is that it has a hill.

B.

Yes,thesedatasuggestthatthethirdmileappearstotakelonger,andareasonable explanationisthatit hasahill.

C.

Yes, these data suggest that the third and first miles appear to takelonger, and a reasonable explanation is that they both have hills.

D.

Yes, these data suggest that the first mile appears to takelonger, and a reasonable explanation is that it has a hill.

E.

No,thesedatadonotsuggestthatanyofthemileshave a