In a study designed to test the effectiveness of magnets for

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 9.0 and a standard deviation of 2.7. After being given the sham treatments, the 35 patients had pain scores with a mean of 8.7 and a standard deviation of 2.2.

a). Construct the 90% confidence interval estimate of the mean pain score for patients given the magnet treatment.

b). Construct the 90% confidence interval estimate of the mean pain score for patients given the sham treatment.

Solution