Researchers conducted a study to determine whether magnets are effective in trea

Question

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. What are the null and alternative hypotheses? H_0: mu_1 = mu_2 H_1: mu_1 notequalto mu_2 H_0: mu_1 mu_2 H_0: mu_1 notequalto mu_2 H_1: mu_1

Explanation / Answer

Two-Sample T-Test and CI

Sample   N   Mean StDev SE Mean
1       30 0.540 0.650     0.12
2       30   0.39   1.33     0.24

Difference = (1) - (2)
Estimate for difference: 0.150
95% lower bound for difference: -0.305
T-Test of difference = 0 (vs >): T-Value = 0.55 P-Value = 0.291 DF = 42

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