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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
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.
- Identify the worksheet (tab) that matchesthe first letter of your LAST name(i.e., if your last name were "Fudd" you would use the data from the "F" tab).This will be the source data you will use to answer your remaining questions for this initial post.
- What is thenull hypothesisandalternative hypothesis?
- Identify thetest statistic and p-valuefrom your source data.
- Would yourejectorfail to rejectyour null hypothesis? Explain how you came to this conclusion (i.e. either use the test-statistic or p-value to support your claim).
- Would there be sufficient evidence (based upon your source data) to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment? Explain.
Treatment Sham
Sample Size 25 25
Sample Mean 0.49 0.37
Sample Standard Deviation 0.56 1.23
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