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?   a. Determine the null and alternative hypotheses. b. What is the conclusion for this hypothesis​ test?

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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 0.05 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?

 

a. Determine the null and alternative hypotheses.

b. What is the conclusion for this hypothesis​ test?

Mile 1
3:16
3:25
3:22
3:21
3:22
Mile 2
3:20
3:23
3:21
3:16
3:20
Mile 3
3:34
3:31
3:29
3:31
3:28
Transcribed Image Text:Mile 1 3:16 3:25 3:22 3:21 3:22 Mile 2 3:20 3:23 3:21 3:16 3:20 Mile 3 3:34 3:31 3:29 3:31 3:28
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