Question:

Two different groups of 25 members participated in an experiment. The first group was given cigarettes with a special filter. The second group was given cigarettes without the special filter. Their physical condition was examined after one month by testing the time it took them to climb a certain flight of stairs. The mean time for the smokers with the filter was 25 seconds, with a standard deviation of 3 seconds, and the time for the smokers without the filter was 32 seconds, with a standard deviation of 2.5 seconds.

For each question below, show your work and explain the reasoning for your answers.

1. Construct a 99% confidence interval for the mean difference in the time it takes the two groups to climb the stairs.
2. At an alpha value of .01, would you reject or fail to reject the hypothesis that the mean times of the two groups are the same?
3. Is the result of your test consistent with your confidence interval?

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document