Question: People spend huge sums of money (currently around $6 billion annually) for the purchase of magnets used to treat a wide variety of pains. Researchers conducted a study to determine whether magnets are more effective than Celebrex treating back pain. Pain was measured using an analog scale; based on data from "Bipolar Permanent Magnets for the Treatment of Chronic Lower Back Pain: A pilot Study, by Collacott, Zimmerman, White and Rindone, Journal of the American Medical Association, Vol. \(283\), No. 10. The University of Alaska Medical Center randomly selected 15 patients with lower back pain problems and these patients were given magnets to reduce their pain level, The study determined the mean pain level was 0.35 with a standard deviation of \(0.08\). A second random group of 15 individuals who had lower back pain problems were given the institutional drug named Celebrex. The study showed that their pain was reduced by an average of 0.32 with a standard deviation of 0.09. Utilize a significance level of ten percent that magnet power was substantially more effective in the treatment of lower back pain problem than the institutional method of Celebrex. Assume the population standard deviation is unknown.