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 reduction in cholesterol experienced for the time period for the 20 subjects:
Control group:
7
3
−4
14
2
5
22
−7
9
Treatment group:
−6
4
12
37
(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 suggests a different conclusion.
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