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In a study designed to test the effectiveness of magnets for treating back? pain, 35 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 35 patients had pain scores with a mean of 7.0 and a standard deviation of 2.3. After being given the sham? treatments, the 35 patients had pain scores with a mean of 5.2 and a standard deviation of 2.6. Complete parts? (a) through? (c) below.
a. Construct the 90?% confidence interval estimate of the mean pain score for patients given the magnet treatment.
b. Construct the 95?% confidence interval estimate of the mean pain score for patients given the sham treatment.
First calculate? E, rounding to three decimal places.
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