2) A researcher decides to test the effectiveness of three different therapies for reducing depression. He randomly assigns a sample of severely depressed individuals to one of three therapy groups. At the conclusion of the therapy sessions, he obtains the following depression scores (lower scores indicate lower reported depression): Therapy A (n=10) 10 12 16 12 13 14 12 18 10 13 Therapy B (n=10) 14 16 15 12 18 17 14 13 13 18 2a) Compute the mean and variance for each group. Therapy C (n=10) 20 18 19 15 16 20 13 15 16 18 2b) Using a t-test, test whether therapy A resulted in lower depression scores than therapy B. 2c) Using a t-test, test whether therapy A resulted in lower depression scores than therapy C.
2) A researcher decides to test the effectiveness of three different therapies for reducing depression. He randomly assigns a sample of severely depressed individuals to one of three therapy groups. At the conclusion of the therapy sessions, he obtains the following depression scores (lower scores indicate lower reported depression): Therapy A (n=10) 10 12 16 12 13 14 12 18 10 13 Therapy B (n=10) 14 16 15 12 18 17 14 13 13 18 2a) Compute the mean and variance for each group. Therapy C (n=10) 20 18 19 15 16 20 13 15 16 18 2b) Using a t-test, test whether therapy A resulted in lower depression scores than therapy B. 2c) Using a t-test, test whether therapy A resulted in lower depression scores than therapy C.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:2) A researcher decides to test the effectiveness of three different therapies for reducing depression. He randomly
assigns a sample of severely depressed individuals to one of three therapy groups. At the conclusion of the
therapy sessions, he obtains the following depression scores (lower scores indicate lower reported depression):
Therapy A (n=10)
10
12
16
12
13
14
12
18
10
13
Therapy B (n=10)
14
16
15
12
18
17
14
13
13
18
2a) Compute the mean and variance for each group.
Therapy C (n=10)
20
18
19
15
16
20
13
15
16
18
2b) Using a t-test, test whether therapy A resulted in lower depression scores than therapy B.
2c) Using a t-test, test whether therapy A resulted in lower depression scores than therapy C.
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