Triathalon Times Jeff Parent is a statistics instructor who participates in tria

Question

Triathalon Times Jeff Parent is a statistics instructor who participates in triathalons. Listed below are 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     3:15      3:24      3:23      3:22    3:21

Mile 2    3:19    3:21     3:22     3:17    3:19

Mile 3     3:34   3:31   3:29      3:31    3:29

a. Significance Level:COMPLETE ANSWER ____________________________

b. Critical Value: COMPLETE ANSWER______________________

c. Test Statistic:COMPLETE ANSWER ______________

d. P-value:COMPLETE ANSWER _____________________

e. We __________________________ the null hypothesis.

f. Conclusion: ___________________________

Explanation / Answer

Solution:

(a) 95%

(b) 5%

(c) F-test statistic we will use here

F= 27.2487

(d) 0.000034

(e) Reject the null hypothesis

(f) Test claim that it takes the different time to ride each of the miles.

Analysis Table: Count Sum Average Variance 5 16.05 3.21 0.00125 5 15.98 3.196 0.00038 5 16.54 3.308 0.00042 SS df MS F P-value F crit 0.03724 2 0.01862 27.24878049 3.45E-05 3.885294 0.0082 12 0.000683 0.04544 14

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