Homework Help is Here – Start Your Trial Now!
Math
Statistics
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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
See similar textbooks
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 4 steps with 20 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS