Researchers conducted a study to determine whether magnets areeffective in treating back pain. The results are shown in the tablefor the treatment​ (with magnets) group and the sham​ (or placebo)group. The results are a measure of reduction in back pain. Assumethat the two samples are independent simple random samples selectedfrom normally distributed​ populations, and do not assume that thepopulation 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 0.530.530.440.44 s 0.770.77 1.321.32 a. Test the claim that those treatedwith magnets have a greater mean reduction in pain than those givena sham treatment. What are the null and alternative​ hypotheses? A.Upper H 0H0​: mu 1μ1equals=mu 2μ2 Upper H 1H1​: mu 1μ1greaterthan>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 2μ2Upper H 1H1​: mu 1μ1less than
