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For maximum points, show all work for every problem for full credit.
1. A researcher hopes to demonstrate that her Interpersonal Psychotherapy (IPT) is more effective than Cognitive Behavior Therapy (CBT) in reducing Beck Depression Inventory (BDI) scores. She predicts that the CBT group will have lower scores than the IPT. She randomly assigns 16 depressed patients to each treatment and her results are summarized
below. Use alpha = .05 for the following questions.
СвТ
X = 21
S1 = 3
n1 = 16
IPT
X = 19
$=4
no=16
A. Create a confidence interval for ONLY the CBT group's mean. Use alpha = 05
a. State level of confidence. (5 pts)
b. Calculate confidence interval. (10 pts)
c. State your conclusion. (5 pts)
B. Use a t-test to analyze the difference between the 2 groups. Use alpha = .05
a. State the null and alternative hypotheses. (5 pts)
b. Make a decision about the null. (12 pts)
c. State your conclusion. (6 pts)
d. Relate your conclusion to the research. (5 pts)
C. Calculate the 2 statistics that estimate the strength of effect.
a. 12 (6 pts)
i. Interpret result. (5 pts)
b.
Cohen's d (6 pts)
i. Interpret result. (5 pts)