Question

# Researchers conducted a study to determine whether magnets are effective in treating back pain. The results...

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 0.050.05 significance level for both parts. Treatment Sham muμ mu 1μ1 mu 2μ2 n 1616 1616 x overbarx 0.490.49 0.420.42 s 0.980.98 1.261.26 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? A. Upper H 0H0​: mu 1μ1less thanmu 2μ2 D. Upper H 0H0​: mu 1μ1equals=mu 2μ2 Upper H 1H1​: mu 1μ1not equals≠mu 2μ2 The test​ statistic, t, is nothing. ​(Round to two decimal places as​ needed.) The​ P-value is nothing. ​(Round to three decimal places as​ needed.) State the conclusion for the test. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not 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 ▼ sample standard deviation sample mean for those treated with magnets is ▼ greater than equal to less than the sample mean for those given a sham​ treatment, it ▼ is not is valid to argue that magnets might appear to be effective if the sample sizes are larger. 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. nothingless than

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