A therapist would like to evaluate an intervention for treating depression. A sample of n = 20 depressed clients is obtained, and each person’s level of depression is measured using a standardized questionnaire before they begin the therapy program. Two weeks after therapy, each client’s level of depression is measured again. The average level of depression dropped by 4.0 points following therapy. The difference scores had a variance of 64.
a. State the null hypothesis.
b. Identify the appropriate statistical test
c. Calculate the appropriate test statistic. Make sure to report the degrees of freedom for the statistical test (if appropriate). You must show your work to receive full credit.
d. State your conclusions (use a two-tailed test with = .05 for all tests).
e. Compute an effect size.
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