1. (The sign test) A sample of 15 patients suffering from asthma participated in an experiment to study the effect of a new treatment on pulmonary function. Among the various measurements recorded were those of forced expiratory vol- ume (liters) in 1 second (FEV1) before and after application of the treatment. The results were as follows: Subject Before After Subject Before After 1 1.69 1.69 9. 2.58 2.44 2.77 2.22 10 1.84 4.17 3 1.00 3.07 11 1.89 2.42 4 1.66 3.35 12 1.91 2.94 3.00 3.00 13 1.75 3.04 0.85 2.74 14 2.46 4.62 7 1.42 3.61 15 2.35 4.42 8 2.82 5.14 On the basis of these data, with the sign test, can one conclude that the treatment is effective in increasing the FEV1 level? Let a = 0.05 and find the p-value.
1. (The sign test) A sample of 15 patients suffering from asthma participated in an experiment to study the effect of a new treatment on pulmonary function. Among the various measurements recorded were those of forced expiratory vol- ume (liters) in 1 second (FEV1) before and after application of the treatment. The results were as follows: Subject Before After Subject Before After 1 1.69 1.69 9. 2.58 2.44 2.77 2.22 10 1.84 4.17 3 1.00 3.07 11 1.89 2.42 4 1.66 3.35 12 1.91 2.94 3.00 3.00 13 1.75 3.04 0.85 2.74 14 2.46 4.62 7 1.42 3.61 15 2.35 4.42 8 2.82 5.14 On the basis of these data, with the sign test, can one conclude that the treatment is effective in increasing the FEV1 level? Let a = 0.05 and find the p-value.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem 1P
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Question 3
![3. (Mann-Whitney test) Find the p-values associated with each of the following
scenarios for testing Ho : populations I and II have the same distribution.
a) Ha : distribution of population I is shifted to the right of the distribution
of population II; n = 4, m = 7, S = 37.
b) Ha : populations I and II differ in location; n = 3, m = 6, S = 23.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6954e458-8753-495c-94b2-cdcc9bbfd17e%2F8a272736-5912-4a13-bbb2-7fa6c8bfa259%2Fyvjz0y_processed.png&w=3840&q=75)
Transcribed Image Text:3. (Mann-Whitney test) Find the p-values associated with each of the following
scenarios for testing Ho : populations I and II have the same distribution.
a) Ha : distribution of population I is shifted to the right of the distribution
of population II; n = 4, m = 7, S = 37.
b) Ha : populations I and II differ in location; n = 3, m = 6, S = 23.
![1. (The sign test) A sample of 15 patients suffering from asthma participated in
an experiment to study the effect of a new treatment on pulmonary function.
Among the various measurements recorded were those of forced expiratory vol-
ume (liters) in 1 second (FEV1) before and after application of the treatment.
The results were as follows:
Subject Before After Subject Before After
1
1.69
1.69
9.
2.58
2.44
2
2.77
2.22
10
1.84
4.17
3
1.00
3.07
11
1.89
2.42
4
1.66
3.35
12
1.91
2.94
3.00
3.00
13
1.75
3.04
0.85
2.74
14
2.46
4.62
7
1.42
3.61
15
2.35
4.42
8
2.82
5.14
On the basis of these data, with the sign test, can one conclude that the
treatment is effective in increasing the FEV1 level? Let a = 0.05 and find the
p-value.
2. Use the data in the first problem. Apply the Wilcoxon Signed-rank test to see
whether the mean value after the new treatment has changed from the mean
value
before the new treatment. Let a =
0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6954e458-8753-495c-94b2-cdcc9bbfd17e%2F8a272736-5912-4a13-bbb2-7fa6c8bfa259%2Fuc82wqn_processed.png&w=3840&q=75)
Transcribed Image Text:1. (The sign test) A sample of 15 patients suffering from asthma participated in
an experiment to study the effect of a new treatment on pulmonary function.
Among the various measurements recorded were those of forced expiratory vol-
ume (liters) in 1 second (FEV1) before and after application of the treatment.
The results were as follows:
Subject Before After Subject Before After
1
1.69
1.69
9.
2.58
2.44
2
2.77
2.22
10
1.84
4.17
3
1.00
3.07
11
1.89
2.42
4
1.66
3.35
12
1.91
2.94
3.00
3.00
13
1.75
3.04
0.85
2.74
14
2.46
4.62
7
1.42
3.61
15
2.35
4.42
8
2.82
5.14
On the basis of these data, with the sign test, can one conclude that the
treatment is effective in increasing the FEV1 level? Let a = 0.05 and find the
p-value.
2. Use the data in the first problem. Apply the Wilcoxon Signed-rank test to see
whether the mean value after the new treatment has changed from the mean
value
before the new treatment. Let a =
0.05.
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