Homework SourseA certain statistics instructor participates in triathlons T
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 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?
Determine the null and alternative hypotheses.
Ho:_________
H1:__________
Find the F test statistic.
F = __________
Find the P-value using the F test statistic
P-value = _________
What is the conclusion for this hypothesis test?
A. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
B. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
C. Reject H0. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
D. Reject 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 a hill?
A. Yes, these data suggest that the second mile appears to take longer, and a reasonable explanation is that it has a hill.
B. No these data do not suggest that any of the miles have a hill.
C. Yes, these data suggest that the third and first miles appear to take longer, and a reasonable explanation is that they both have hills.
D.Yes these data suggest that the third mile appears to take longer and a reasonable explanation is that it has a hill.
E. Yes, these data suggest that the first mile appears to take longer, and a reasonable explanation is that it has a hill.
| Mile_1_Minutes | Mile_1_Seconds | Mile_2_Minutes | Mile_2_Seconds | Mile_3_Minutes | Mile_3_Seconds |
| 3 | 16 | 3 | 18 | 3 | 35 |
| 3 | 23 | 3 | 23 | 3 | 31 |
| 3 | 22 | 3 | 20 | 3 | 28 |
| 3 | 22 | 3 | 17 | 3 | 32 |
| 3 | 21 | 3 | 18 | 3 | 30 |
Solution
H0: All times are equal
Ha: atleast two are not equal
C. Reject H0. There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time.
