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In a study designed to test the effectiveness of magnets for treating back​ pain, 40 patients...

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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