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schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
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. Use a 0.05 significance level for both parts.
a. Test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
What are the null and alternative hypotheses?
OA Ho: H1 H2
○ C. Ho: H₁ =H2
H₁₁₂
The test statistic, t, is (Round to two decimal places as needed.)
Click to select your answer(s).
OB. Ho: H1 H2
OD. Ho H₁ =H2
Treatment
Sham
H
n
22
22
X
0.56
0.37
S
0.59
1.47
4234
☆
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. Use a 0.05 significance level for both parts.
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
Treatment
Sham
Hy
#2
n
22
22
x
0.56
0.37
0.59
1.47
the null hypothesis. There i
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?
Since the
for those treated with magnets is
that magnets might appear to be effective if the sample sizes are larger.
Click to select your answer(s).
the sample mean for those given a sham treatment, it
valid to argue
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the
reatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the
wo 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. Use a 0.05 significance level for both parts.
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
for those treated with magnets is
that magnets might appear to be effective if the sample sizes are larger.
μ
H1
In
22
22
X
0.56
0.37
0.59
1.47
4234
the sample mean for those given a sham treatment, it
valid to argue
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.
<<
(Round to three decimal places as needed.)
Click to select your answer(s).
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