A running coach wants to know if participating in weekly running clubs significa

Question

A running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The running coach collects mean mile times for 42 runners who participate in weekly running clubs with 54 runners who do not run in clubs. The running coach measures times in January and June of the same year. All times are in seconds, and the runners all started with mile times between 8 minutes (480 seconds) and 9 minutes (540 seconds). Here are the results:

What is the best method for the running coach to use to determine if participating in weekly running clubs significantly improves the time to run a mile?

A)Use the difference in sample means (530 – 520) in a hypothesis test for a difference in two population means.

B)Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

C)Use the sample mean 10 in a hypothesis test for a population mean.

January June Change Mean (seconds) StDev (seconds) Mean (seconds) StDev (seconds) Mean (seconds) StDev (seconds) Running Club N = 42 530 28 520 23 10 4 Not in a Club N = 54 527 25 519 22 8 3

Explanation / Answer

B) Use the difference in sample means(10 and 8) in a hypothesis test for a difference in two population means. The interest of study is to find out if there is a difference between members of weekly running club and members not in a club.

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