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
11.0 and a standard deviation of 2.2. After being given the sham
treatments, the 40 patients had pain scored with a mean of 12.8 and
a standard deviation of 2.5
. 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
muμ​?
b). Construct the 95% confidence interval estimate of the mean
pain score for patients given the sham treatment.
