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. 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? OA H₂ H ₂ H₂:4₂ 2/₂ OC. M₂: ₂ ##2 H₁: P₁ P₂ 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. D (Round to three decimal places as needed.) OB. M₂: P₁ P2 M₂: 1₂ #4₂ OD. Ho: #₁ #2₂ H₁ H₂ H/₂ the null hypothesis. There 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 the sample mean for those given a sham treatment, it 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. sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. valid to argue that magnets might appear to be effective if the sample sizes are larger. H n S Treatment Sham P₂ 30 0.45 1.01 H₁ 30 0.48 0.95
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. 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? OA H₂ H ₂ H₂:4₂ 2/₂ OC. M₂: ₂ ##2 H₁: P₁ P₂ 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. D (Round to three decimal places as needed.) OB. M₂: P₁ P2 M₂: 1₂ #4₂ OD. Ho: #₁ #2₂ H₁ H₂ H/₂ the null hypothesis. There 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 the sample mean for those given a sham treatment, it 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. sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. valid to argue that magnets might appear to be effective if the sample sizes are larger. H n S Treatment Sham P₂ 30 0.45 1.01 H₁ 30 0.48 0.95
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: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.
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?
OA. Ho: H₁ <H₂
H₂H₁ 2₂
OC. Hg: 1₁ #1₂
H₁ H₁ H₂
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.
OB. Ho: ₁₂
H₂H₁ H₂
Since the
OD. Ho: ₁ = 4₂
H₁ H₂
the null hypothesis. There
Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?
for those treated with magnets is
the sample mean for those given a sham treatment, it
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.
<H₁-H₂
(Round to three decimal places as needed.)
▼sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
valid to argue that magnets might appear to be effective if the sample sizes are larger.
μ
In
x
s
Treatment Sham
1₁
30
0.48
0.95
HH
H₂
30
0.45
1.01
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