2. Suppose we have available to us four antidepressant drugs (Prozac, Elavil, Zoloft, and Tofranil), and we wish to know whether there is any difference in their effectiveness in reducing the symptoms of depression. We randomly select 24 depressed patients and then randomly assign each to one of four groups. We administer Prozac to the patients in group 1, Elavil to the patients in group 2, Zoloft to group 3, and Tofranil to group 4, and then we measure their depression symptoms on the Beck Depression Inventory (BDI), which is a psychological test on which higher scores indicate more severe depression. The data and summary statistics are shown below. Group 1 Group 2 Group 3 Elavil Prozac Zoloft 29 23 32 25 26 26 28 26 25 19 ## ## Sample means ## 25 28 35 34 28 32 37 35 Group 4 Tofranil Prozac Elavil Zoloft Tofranil 28 33.5 24 32.5 Prozac Elavil Zoloft Tofranil ## Sample variances 6 9.9 7.2 3.9 Show all your work and circle your final answers. 33 36 30 32 32 32 Is there sufficient evidence to indicate a difference in the average antidepressant effect of Prozac, Elavil, Zoloft, and Tofranil? Fit appropriate linear model(s) to the data and test at the 0.01 level of significance. Provide conclusion in the context of this problem.
2. Suppose we have available to us four antidepressant drugs (Prozac, Elavil, Zoloft, and Tofranil), and we wish to know whether there is any difference in their effectiveness in reducing the symptoms of depression. We randomly select 24 depressed patients and then randomly assign each to one of four groups. We administer Prozac to the patients in group 1, Elavil to the patients in group 2, Zoloft to group 3, and Tofranil to group 4, and then we measure their depression symptoms on the Beck Depression Inventory (BDI), which is a psychological test on which higher scores indicate more severe depression. The data and summary statistics are shown below. Group 1 Group 2 Group 3 Elavil Prozac Zoloft 29 23 32 25 26 26 28 26 25 19 ## ## Sample means ## 25 28 35 34 28 32 37 35 Group 4 Tofranil Prozac Elavil Zoloft Tofranil 28 33.5 24 32.5 Prozac Elavil Zoloft Tofranil ## Sample variances 6 9.9 7.2 3.9 Show all your work and circle your final answers. 33 36 30 32 32 32 Is there sufficient evidence to indicate a difference in the average antidepressant effect of Prozac, Elavil, Zoloft, and Tofranil? Fit appropriate linear model(s) to the data and test at the 0.01 level of significance. Provide conclusion in the context of this problem.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:2. Suppose we have available to us four antidepressant drugs (Prozac, Elavil, Zoloft, and
Tofranil), and we wish to know whether there is any difference in their effectiveness in
reducing the symptoms of depression. We randomly select 24 depressed patients and then
randomly assign each to one of four groups. We administer Prozac to the patients in group
1, Elavil to the patients in group 2, Zoloft to group 3, and Tofranil to group 4, and then
we measure their depression symptoms on the Beck Depression Inventory (BDI), which is
a psychological test on which higher scores indicate more severe depression. The data and
summary statistics are shown below.
Group 1 Group 2
Prozac
Elavil
##
## Sample means
##
## Sample variances
29
32
26
28
25
28
35
34
28
32
37
35
Group 3
Zoloft
23
25
26
26
25
19
Group 4
Tofranil
Prozac Elavil Zoloft Tofranil
24
32.5
28 33.5
Prozac Elavil Zoloft Tofranil
6 9.9 7.2
3.9
Show all your work and circle your final answers.
33
36
30
32
32
32
Is there sufficient evidence to indicate a difference in the average antidepressant effect
of Prozac, Elavil, Zoloft, and Tofranil? Fit appropriate linear model(s) to the data
and test at the 0.01 level of significance. Provide conclusion in the context of this problem.
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