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 distributedpopulations, and do not assume that the population standard deviations are equal. Find the null and alternative hypothesis, test statistic, p value, conclusion, confidence interval, and confidence interval conclusion.

Treatment

Sham

1

2

n

14

14

x

0.53

0.43

s

0.81

1.35