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 11.0 and a standard deviation of 2.7 After being given the sham treatments, the 35

patients had pain scores with a mean of 10.6 and a standard deviation of 2.3

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a. Construct the 99% confidence interval estimate of the mean pain score for patients given the magnet treatment.

What is the confidence interval estimate of the population mean ?

____?__ < <____?_______

b. Construct the 99% confidence interval estimate of the mean pain score for patients given the sham treatment.

What is the confidence interval estimate of the population mean ?

____?_________ < < ____?_______

c. Compare the results. Does the treatment with magnets appear to be effective? which is the correct number from 1-4 .

1. Since the confidence intervals do not overlap, it appears that the magnet treatments are more effective than the sham treatments.
2. Since the confidence intervals overlap, it appears that the magnet treatments are nomore effective than the sham treatments.
3. Since the confidence intervals overlap, it appears that the magnet treatments are more effective than the sham treatments.
4. Since the confidence intervals do not overlap, it appears that the magnet treatments are nomore effective than the sham treatments.