Twenty adult males between the ages of 30 and 40 participated in a study to evaluate the effect of a specific health regimen involving diet and exercise on the blood cholesterol. Ten were randomly selected to be a control group, and ten others were assigned to take part in the regimen as the treatment group for a period of 6 months. The following data show the re- duction in cholesterol experienced for the time period for the 20 subjects:
control group: 7,3,-4,2,5,22,-7,9,5
Treatment group: -6,5,9,4,4,12,37,4,3,3
(a)Do a dot plot of the data for both groups on the same graph.
(b)Compute the mean, median, and 10% trimmed mean for both groups.
(c)Explain why the difference in means suggests one conclusion about the effect of the regimen, while the difference in medians or trimmed means sug- gests a different conclusion.
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