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You are a clinical psychologist is interested in comparing the effectiveness of cognitive behavioral therapy, relaxation therapy, and no therapy (control group) for treating mild

You are a clinical psychologist is interested in comparing the effectiveness of cognitive behavioral therapy, relaxation therapy, and no therapy (control group) for treating mild anxiety. An experiment is conducted in which 15 patients with mild anxiety were randomly assigned 5 each to the three groups. After 4 weeks, participants were given an anxiety questionnaire and their scores were recorded. The following data were analyzed.

Cognitive Behavioral Therapy

Relaxation Therapy Group

Control Group

5

6

7

6

8

10

8

10

9

4

9

10

7

7

9

Mean

Mean = 6

Mean = 8

Mean = 9

Grand Mean = 7.67

SS = 10

SS = 10

SS = 6

What type of statistical test would you use to analyze this data?

What is the null hypothesis (in symbols) for this type of test?

What are df between for this problem?

What is the F ratio for this problem?

What is the effect size for this data?

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