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A graduate student has conducted a treatment study involving three treatments to alleviate depression. The first two groups are active treatment groups and the third group is a placebo control group. The following data are obtained: You may assume homogeneity of variance throughout all parts of this exercise. a. Test whether the mean of Active Treatment 1 is different from the mean of the Control group. b. Test whether the mean of Active Treatment 2 is different from the mean of the Control group. c. Test whether the mean of the two Active Treatment groups combined is different from the mean of the Control group (i.e., form a complex comparison). d. Form a 95% confidence interval for the mean difference between Active Treatment 1 and the Control group. e. Form a 95% confidence interval for the mean difference between Active Treatment 2 and the Control group. f. Form a 95% confidence interval for the difference between the mean of the two Active Treatment groups and the mean of the Control group. g. Which of your intervals in parts d-f contain zero and which exclude zero? How does this relate to the tests you performed in parts a-c? h. Where is the center of your intervals in parts d and e? Where is the center of your interval in part f? How can you reconcile these patterns with the results you reported in part g?

 
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