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In: Statistics and Probability

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 0.05 significance level for both parts.

Treatment Sham
u u1 u2
n 14 14
x 0.49 0.37
s 0.86 1.12


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?

B. The test statistic, t, is ______________ ​(Round to two decimal places as​ needed.)

C. The P-value is ___________ ​(Round to three decimal places as​ needed.)

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