In: Statistics and Probability
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 1515 1515 x overbarx 0.530.53 0.440.44 s 0.770.77 1.321.32 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 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1greater than>mu 2μ2 B. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 C. Upper H 0H0: mu 1μ1not equals≠mu 2μ2 Upper H 1H1: mu 1μ1less than
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