Question

Treatment Sham 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 1.22 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? O A. Ho: *12 Hy: H1 <H2 O C.Ho: <H2 Hq : 242 Ho: 142 1112 10-12 H > The test statistic, tis (Round to two decimal places as needed. Enter your answer in the answer box and then click 4 parts 4 remaining

Answer 1

The statistic software output for this problem is:

Two sample T summary hypothesis test: Pi : Mean of Population 1 2 : Mean of Population 2 Pi - H2 : Difference between two means Ho: P1 - H2 = 0 HA: H1 - H2> 0 (without pooled variances) Hypothesis test results: Difference Sample Diff. Std. Err. DF T-Stat H1 - H2 0.09 0.3476876 19.834075 0.25885306 P-value 0.3992

Test statistic = t = 0.26