A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in a sample of healthy men between the ages of 18 and 29. Participants in the study were randomly assigned to either one of three exercise groups (Weight training, Aerobic exercise or Yoga) or to a control group in which they were assigned to a regular exercise program. Participants were instructed to follow the program for 8 weeks. Their HDL levels were measured after 8 weeks and are summarized below (which is also Table 3 on the Exam #3 Supplement Guide).
Exercise Group |
n |
Mean |
Std Dev |
Weight Training |
10 |
52.7 |
5.97 |
Aerobic Exercise |
10 |
43.1 |
11.1 |
Stretching/Yoga |
10 |
57.0 |
12.5 |
Control |
10 |
60.9 |
13. |
HINT: The Error Sums of Squares is equal to 1129.76.
is there evidence that after the 8-week clinical trial, the mean HDL level of participants assigned to the aerobic exercise group is significantly lower than the mean HDL level of participants assigned to the control group? Run the test at a 5% level of significance.
indicate the competing hypotheses
appropriate test statistic and compute
decision rule
ratio of sample variances
pooled estimate of common standard deviation
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