In a study designed to test the effectiveness of magnets for treating back pain, 40 patients were given a treatment with magnets and also a sham treatment without magnets. Pain was measured using a scale from 0 (no pain) to 100 (extreme pain). After given the magnet treatments, the 40 patients had pain scores with a mean of 6.0 and a standard deviation of 2.7. After being given the sham treatments, the 40 patients had pain scores with a mean of 7.8 and a standard deviation of 2.3. Complete parts (a) through (c) below. Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... a. Construct the 95% confidence interval estimate of the mean pain score for patients given the magnet treatment. What is the confidence interval estimate of the population mean mu μ? nothing less than < mu μ less than < nothing (Round to one decimal place as needed.) b. Construct the 95% confidence interval estimate of the mean pain score for patients given the sham treatment. What is the confidence interval estimate of the population mean mu μ? nothing less than < mu μ less than < nothing (Round to one decimal place as needed.) c. Compare the results. Does the treatment with magnets appear to be effective?
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