Which pair of means is more different—Cognitive and Behavioral or Cognitive and Control?

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A graduate student designed her master’s thesis study with three groups: a cognitive intervention, a behavioral intervention, and a control group. A total of 50 subjects are randomly assigned to groups: 20 to each intervention and 10 to the control group. The following data are obtained: a. Is there a statistically significant difference between the means of the Cognitive and the Behavioral groups? b. Is there a statistically significant difference between the means of the Cognitive and the Control groups? c. Which pair of means is more different—Cognitive and Behavioral or Cognitive and Control? How can you reconcile this fact with your answers to parts a and b?

 

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