Question

Treatment Researchers conducted a study to determine whether magrets 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 debuted populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Sham 2 0.53 0.73 0.45 141 lo Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a shamtreatment What are the nut and alterative types? OA HH2 O. HOW OCH!" OD HOW The best, (Round to two decimal places as needed.) The P values (Round to three decimal places as needed.) State the conclusion for the test the nul hypothesis. There sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a han treatment Is it valid to me that magnets might appear to be effective if the sample sizes are larger? Since the for those treated with magnets is the sample mean for those given a sham treatment, a valid to argue al magrets might uppear to be effective it the sample sees are larger

Answer 1

Solutions Given ni=11 12=11 ni=0.53 12=0.45 Si=0.73 S2=1.41 Test Hypothesis: Hoil, Zuz Hai Mi7 Mz. Statistis8:- Test ap-la ni 12. 0.53-0.45 t- = 0.167 0.73² 1) + D.482 11 t=0.1671 2 dla 72 [csilns) +(87% silni² (33/m2) 15. 21 f no hz-1 pvalue: At t- 0.1671 distribution df = 15 using - flight tail / pvalue= 8.4347 conclusion: b) Fail to reject) Hoi There is no sufficient evidence cu (1-2) I tc ^ 9² t=a.1314 ci (0.53 - 0:45) 4 2.1314 x (-0.9403, 1.10036 * tsi nz 10.732 +(1.442 11 1) Cla