Researchers conducted a study to determine whether magnets are effective in treating back pain. The results (higher values indicate larger reductions in pain levels) are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. treatment sham sample size 19 22 mean 12 10 standard deviation 4 3 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. Use the p-value method and a 0.01 significance level to test the claim that the treatment mean measure of reduction in back pain is greater than the sham mean measure of reduction in back pain. (Hint: Consider statistictreatment"Statisticsham-) Enter the p-value. (Round your answer to nearest ten-thousandth.) When using tables to find a tight range for the p-value, enter one of the boundaries of the interval (not 0 or 1) found using the tables. 1. Extract Information: 2. Original Claim: 3. H H,: 6. p-Value: 4. Test Statistic: 5. Distribution (Graphically): 7. Statistical Conclusion:
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results (higher values indicate larger reductions in pain levels) are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. treatment sham sample size 19 22 mean 12 10 standard deviation 4 3 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. Use the p-value method and a 0.01 significance level to test the claim that the treatment mean measure of reduction in back pain is greater than the sham mean measure of reduction in back pain. (Hint: Consider statistictreatment"Statisticsham-) Enter the p-value. (Round your answer to nearest ten-thousandth.) When using tables to find a tight range for the p-value, enter one of the boundaries of the interval (not 0 or 1) found using the tables. 1. Extract Information: 2. Original Claim: 3. H H,: 6. p-Value: 4. Test Statistic: 5. Distribution (Graphically): 7. Statistical Conclusion:
MATLAB: An Introduction with Applications
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Transcribed Image Text:Researchers conducted a study to determine whether magnets are effective in treating back pain. The results (higher values indicate
larger reductions in pain levels) are shown in the table for the treatment (with magnets) group and the sham (or placebo) group.
treatment
sham
sample size
19
22
mean
12
10
standard deviation
4
3
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. Use the p-value method and a 0.01 significance level to test the claim that
the treatment mean measure of reduction in back pain is greater than the sham mean measure of reduction in back pain. (Hint:
Consider statistictreatment"Statisticsham-)
Enter the p-value. (Round your answer to nearest ten-thousandth.) When using tables to find a tight range for the p-value, enter one
of the boundaries of the interval (not 0 or 1) found using the tables.
1. Extract Information:
2. Original Claim:
3. H
H;:
4. Test Statistic:
6. p-Value:
5. Distribution (Graphically):
7. Statistical Conclusion:
Expert Solution
Step 1
1.
Denote μ1, μ2 as the population means treatment and sham measure of reduction in back pain, respectively.
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