Magnet Treatment of Pain People spend around $5 billion annually for the purchase of magnets used to treat a wide variety of pains. Researchers conducted a study to determine whether there is a difference in reported pain levels with or without magnets in treating back pain. Pain was measured using the visual analog scale, and the results given below are among the results obtained in the study (based on data "Made-up by Dr. Barnes, 2023 6 11). Higher scores correspond to greater pain levels.

Please know that the depicted values may change each time you attempt this exam.

Pain Levels With Magnets	Pain Levels
n = 35, =15.89, s = 5.90	n = 36, =12.31, s = 5.48

Construct a 95% confidence interval appropriate to determine if the means are different. For full credit, you must show all work. That is, how to calculate E, the confidence interval, and the value of t critical.