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.

 / treatment / sham sample size / 40 / 31 mean / 0.87 / 0.87 standard deviation / 0.11 / 0.84 

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. Use a 0.05 significance level to test the claim that the treatment mean measure of reduction in back pain is greater than the sham mean measure of reduction in back pain. SHOW YOUR WORK IN A SEPARATE PIECE OF PAPER TO SUBMIT AS AN UPLOAD FILE.