Question: Hypothesis Test for Magnet Treatment of Pain: Researchers conducted a study to determine whether magnets are effective in treating back pain, with results given below (based on data from “Bipolar Permanent Magnets for the treatment of Chronic Lower Back Pain. A plot Study, “by Collacott Zimmerman, White, and Rindone, Journal of the American Medical Association, Vol. 283, No. 10)

The Value represents measurements of pain using the visual analog scale. Use a 0.05 significance level to test the claim that those given a sham treatment (similar to a placebo) have pain reductions that vary more than pain reduction for those treated with magnets.

Reduction in pain level after sham treatment: n = 20, \(\bar{X}\) = 0.44, s = 1.4

Paroxetine in pain level after magnet treatment: n = 20, \(\bar{X}\) = 0.49, s = 0.96