A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. For a week prior to training, each participant records the number of headaches suffered. Participants then receive relaxation training, and for the week following training the number of headaches is again measured. The data are as follows: Before After 1 3 3 3 1 2 2 1 4 3 a.) Compute the mean and variance for the sample of difference scores.
A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. For a week prior to training, each participant records the number of headaches suffered. Participants then receive relaxation training, and for the week following training the number of headaches is again measured. The data are as follows: Before After 1 3 3 3 1 2 2 1 4 3 a.) Compute the mean and variance for the sample of difference scores.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
![A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. For a week prior to training, each
participant records the number of headaches suffered. Participants then receive relaxation training, and for the week following training the number of headaches is
again measured. The data are as follows:
Before
After
6.
4
1
3
3
1
6.
2
1
4
3
4
2
a.) Compute the mean and variance for the sample of difference scores.
Answer: For these data MD =
: SS =
; and s2 =
b.) Do the results indicate a significant difference? Use a two-tailed test with a = .05.
Answer: The standard error =
:t =
Should you reject or fail to reject the null hypothesis?
the null hypothesis.
c.) Compute Cohen's d to measure the size of the effect.
Answer: Cohen's d =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac54a73c-3ca9-4578-a091-d1d516f67ee4%2F8e9d3133-2f29-439a-b79e-08007f78b5fc%2Fsiewj7m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. For a week prior to training, each
participant records the number of headaches suffered. Participants then receive relaxation training, and for the week following training the number of headaches is
again measured. The data are as follows:
Before
After
6.
4
1
3
3
1
6.
2
1
4
3
4
2
a.) Compute the mean and variance for the sample of difference scores.
Answer: For these data MD =
: SS =
; and s2 =
b.) Do the results indicate a significant difference? Use a two-tailed test with a = .05.
Answer: The standard error =
:t =
Should you reject or fail to reject the null hypothesis?
the null hypothesis.
c.) Compute Cohen's d to measure the size of the effect.
Answer: Cohen's d =
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