4. Let's return to the point where we are designing our antidepressant drug study. Sup- pose that our main interest is in whether "SSRI" antidepressant drugs like Prozac and Zoloft differ from "tricyclic" antidepressant drugs like Elavil and Tofranil. Thus, we are not particularly interested in how Prozac compares with Zoloft or even how Prozac com- pares with Elavil. Instead, we are interested in comparing two particular drugs (the two SSRIs, Prozac and Zoloft) with another two particular drugs (the two tricyclics, Elavil and Tofranil). We are particularly interested in only one hypothesis, which we write as VS ## ## Sample means ## Ho: Ha: where "¹+" is the average Beck Depression Inventory score of all individuals who take Prozac or Zoloft, and is the average score of all individuals who take Elavil or Tofranil. Group 1 Prozac 29 32 26 28 25 28 ## Sample variances H1+f3 2 Data and summary statistics are provided below. μ₁±μ3 + H₂+μ₁ 2 2 H₂ + μs 2 Group 2 Group 3 Elavil Zoloft 35 23 34 25 28 32 37 35 26 26 25 19 Prozac Elavil Zoloft Tofranil 28 33.5 24 32.5 Prozac Elavil Zoloft Tofranil 6 9.9 7.2 3.9 Group 4 Tofranil 33 36 i) Calculate the test statistic. ii) Find P-value or rejection region. Use a = 0.05. Answer each of the following questions. You have to show all your work to get full credit. Simplify final answers and round to 4 decimal places where appropriate. 30 32 32 32 iii) State your conclusion in the context of this problem.
4. Let's return to the point where we are designing our antidepressant drug study. Sup- pose that our main interest is in whether "SSRI" antidepressant drugs like Prozac and Zoloft differ from "tricyclic" antidepressant drugs like Elavil and Tofranil. Thus, we are not particularly interested in how Prozac compares with Zoloft or even how Prozac com- pares with Elavil. Instead, we are interested in comparing two particular drugs (the two SSRIs, Prozac and Zoloft) with another two particular drugs (the two tricyclics, Elavil and Tofranil). We are particularly interested in only one hypothesis, which we write as VS ## ## Sample means ## Ho: Ha: where "¹+" is the average Beck Depression Inventory score of all individuals who take Prozac or Zoloft, and is the average score of all individuals who take Elavil or Tofranil. Group 1 Prozac 29 32 26 28 25 28 ## Sample variances H1+f3 2 Data and summary statistics are provided below. μ₁±μ3 + H₂+μ₁ 2 2 H₂ + μs 2 Group 2 Group 3 Elavil Zoloft 35 23 34 25 28 32 37 35 26 26 25 19 Prozac Elavil Zoloft Tofranil 28 33.5 24 32.5 Prozac Elavil Zoloft Tofranil 6 9.9 7.2 3.9 Group 4 Tofranil 33 36 i) Calculate the test statistic. ii) Find P-value or rejection region. Use a = 0.05. Answer each of the following questions. You have to show all your work to get full credit. Simplify final answers and round to 4 decimal places where appropriate. 30 32 32 32 iii) State your conclusion in the context of this problem.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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Question
Transcribed Image Text:4. Let's return to the point where we are designing our antidepressant drug study. Sup-
pose that our main interest is in whether "SSRI" antidepressant drugs like Prozac and
Zoloft differ from "tricyclic" antidepressant drugs like Elavil and Tofranil. Thus, we are
not particularly interested in how Prozac compares with Zoloft or even how Prozac com-
pares with Elavil. Instead, we are interested in comparing two particular drugs (the two
SSRIs, Prozac and Zoloft) with another two particular drugs (the two tricyclics, Elavil
and Tofranil). We are particularly interested in only one hypothesis, which we write as
VS
Ho :
##
## Sample means
##
## Sample variances
Ha:
where
is the average Beck Depression Inventory score of all individuals who take
Prozac or Zoloft, and
is the average score of all individuals who take Elavil or
Tofranil.
29
32
H₁+f3 H₂ + HA
2
2
Data and summary statistics are provided below.
26
28
25
28
f1+f3 H₂ + H4
2
2
Group 1 Group 2 Group 3
Prozac
Elavil
Zoloft
35
23
34
25
28
32
37
35
26
26
25
19
Prozac Elavil Zoloft Tofranil
28 33.5 24
32.5
Prozac Elavil Zoloft Tofranil
6
9.9
7.2
3.9
Group 4
Tofranil
33
36
30
32
32
32
Answer each of the following questions. You have to show all your work to get full
credit. Simplify final answers and round to 4 decimal places where appropriate.
i) Calculate the test statistic.
ii) Find P-value or rejection region. Use a = 0.05.
iii) State your conclusion in the context of this problem.
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