Question

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. If we run the test at a 5% level of significance, is there a significant difference in mean HDL levels among the groups? HINT: SSE = 1129.76.

Table 3.

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	13.3

Use the table below to assist you with computing the test statistic for Problem #3.

Table 4.

Source of Variation	Sums of Squares	Degrees of freedom	Mean Squares	Test Statistic
Between Groups
Error or Residual
Total

1Is there a difference in mean SBP among treatments at a 5% significance level

2Indicate the decision rule

3Indicate the Between Groups Sums of Squares (SSB

4Compute Error Sums of Squares (SSE

5True or false: We have statistically significant evidence at α=0.05 to show that there is a significant difference in mean SBP among the treatment groups

Answer 1