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A clinical trial is run to assess the effects of different forms of regular exercise on...

A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in persons between the ages of 18 and 29. Participants in the study are randomly assigned to one of three exercise groups - Weight training, Aerobic exercise or Stretching/Yoga – and instructed to follow the program for 8 weeks. Their HDL levels are measured after 8 weeks and are summarized below

Exercise Group

N

Mean

Weight Training

20

49.7

Aerobic Exercise

20

43.1

Stretching/Yoga

20

57.0

Total

60

49.9

We want to test the null hypothesis that the mean HDL levels in each of the exercise groups are equal, vs. the alternative hypothesis that the means are not all equal, at alpha = 0.05. What is the appropriate test statistic?

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