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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 0.050.05 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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Hypothesisi G mmagmat reatmonH Sha m nivem, 0.53 2 = 0.44 ',OugLtoct Fatis ic 0 53-0 4 4 = 2.28 .32 2 5 322 2 DF 1 5 2 2 5 4 324 -s1) ( - Si)S , DF = DF 22 d D.05 , 0mitailed t est cal ula vau 0. 4 mmi mitab elomot O 4 O 05, p value = Huu, uj ect mult ht e videmte Q mo ugh hai ve hypo sis e vi Coneudi, mot hauue do mte So Lu Hose Hat hauw He Ho kouatment houw ysuatn magmet aduction n >aim anned with Ham meam CS hemScat0atment


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