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. OA. H: ₁₂ H OC. H: ₁₂ H₂Hy
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. OA. H: ₁₂ H OC. H: ₁₂ H₂Hy
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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Question
![State the conclusion for the test.
the null hypothesis. There
▼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
<H4-₂
(Round to three decimal places as needed).
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 magnots have a greater mean reduction in pain than those given a sham
treatment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5878d19f-0223-4d85-98f6-0dd2260b83d4%2Fb9bc1a91-fcac-4cea-b025-58900209c86f%2Fphtgc8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:State the conclusion for the test.
the null hypothesis. There
▼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
<H4-₂
(Round to three decimal places as needed).
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 magnots have a greater mean reduction in pain than those given a sham
treatment.
![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.
OA. Ho: H₁ H₂
H₁: ₁2₂
OC. Ho: #₁ #₂
H₁: Hy <H₂
The test statistic, t, is (Round to tyo decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
OB. H: ₁₂
H₁: 1 P2
H
OD. Ho: 1₁ y
H₁: Hy #Hy
in
a. Use a 0.05 significance level to 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?
X
S
Treatment Sham
H₂
11
0.38
1.25
P₁
11
0.54
0.87
554](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5878d19f-0223-4d85-98f6-0dd2260b83d4%2Fb9bc1a91-fcac-4cea-b025-58900209c86f%2Fvrq0ih_processed.jpeg&w=3840&q=75)
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.
OA. Ho: H₁ H₂
H₁: ₁2₂
OC. Ho: #₁ #₂
H₁: Hy <H₂
The test statistic, t, is (Round to tyo decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
OB. H: ₁₂
H₁: 1 P2
H
OD. Ho: 1₁ y
H₁: Hy #Hy
in
a. Use a 0.05 significance level to 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?
X
S
Treatment Sham
H₂
11
0.38
1.25
P₁
11
0.54
0.87
554
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