Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table H for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. n X S P1 17 0.57 0.97 12 17 0.44 1.42 Fall to reject the null nypotnesis. I nere is not sumcient evidence to support the claim that those treated with magnets nave a greater mean reduction in pain'than those given a sham treatment. Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it is not valid to argue that magnets might appear to be effective if the sample sizes are larger. b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. 75-7
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table H for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. n X S P1 17 0.57 0.97 12 17 0.44 1.42 Fall to reject the null nypotnesis. I nere is not sumcient evidence to support the claim that those treated with magnets nave a greater mean reduction in pain'than those given a sham treatment. Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it is not valid to argue that magnets might appear to be effective if the sample sizes are larger. b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. 75-7
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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Transcribed Image Text:K
Treatment
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table P P1
for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain.
Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not
assume that the population standard deviations are equal. Complete parts (a) and (b) below.
n
17
0.57
0.97
GECED
X
S
Sham
1₂
17
0.44
1.42
Fall to reject the null nypotnesis. Inere is not sumicient evidence to support the claim that those treated with magnets nave a greater mean reduction in
pain'than those given a sham treatment.
Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?
<₁-₂
(Round to three decimal places as needed.).
Since the
sample mean
for those treated with magnets is greater than the sample mean for those given a sham treatment, it is not valid to
argue that magnets might appear to be effective if the sample sizes are larger.
b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a
sham treatment.
Transcribed Image Text:K
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table
for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain.
Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not
assume that the population standard deviations are equal. Complete parts (a) and (b) below.
H₁: 11 21₂
C
H₁:11 #1₂
X
S
Treatment
H₁
17
0.57
0.97
Sham
12
17
0.44
1.42
The test statistic, t, is
(Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.).
State the conclusion for the test.
Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in
pain than those given a sham treatment.
Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?
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