People spend around $5 million annually for the purchase of magnets used to treat a wide variety of pains. Researchers conducted a study to determine whether magnets are effective in treating Mack pain. Pain was measured using the visual analog scale, and the results given me low are among the results Obtained in the study. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a Placemo). Does it appear that magnets are effective in treating Mack pain? Is it valid to argue that magnets might appear to me effective if the sample sizes are larger?

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. Do the following:
a. Test the given claim using the P-value method or critical value method.
b. Construct a confidence interval suitable for testing the given claim.

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Reduction in Pain Level After Magnet Treatment: Reduction in Pain Level After Sham Treatment: n = 20, x = 0.49, s = 0.96 n = 20, x = 0.44, s = 1.4