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 0.05 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 3:16 3:24 3:23 3:22 3:21 Mile 2 3:20 3:21 3:20 3:16 3:18 Mile 3 3:33 3:30 3:29 3:30 3:30 (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.) a. Determine the null and alternative hypothesis. Find f test statistic (round to four decimals). Find p value (round to four decimals). b. What is the conclusion for this hypothesis test? Does one of the miles appear to have a hill?
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 0.05 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
|
3:16
|
3:24
|
3:23
|
3:22
|
3:21
|
|
---|---|---|---|---|---|---|
Mile 2
|
3:20
|
3:21
|
3:20
|
3:16
|
3:18
|
|
Mile 3
|
3:33
|
3:30
|
3:29
|
3:30
|
3:30
|
(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.)
a. Determine the null and alternative hypothesis.
Find f test statistic (round to four decimals).
Find p value (round to four decimals).
b. What is the conclusion for this hypothesis test?
Does one of the miles appear to have a hill?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images