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A researcher is determining if exercising 3 times a week is more effective than pharmaceuticals or psychotherapy. A total of 20 psychiatric patients were  assigned to one of four treatment conditions and asked self-reported depression on a scale of 1 (depressed) to 15 (happy). Test the null hypothesis that there is no difference between exercise, antidepressants, therapy, and the control group using the following data. Please show steps to retrieve answer:

Treatment

n

sample mean

sd 

Exercise

5

9

2.5

Antidepressants

5

10

2

Therapy

5

9

2

Control

5

7.5

2

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