In a study designed to test the effectiveness of magnets for treating back pain,

Question

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 100 and a standard deviation of 26 After being given the sham treatments, the 35 patients had pain scores with a mean of 8.2 and a standard deviation of 22. Compiete parts (a) through (c) below This Quiz: 18 pts possible a. Construct the 90% confidence interval estimate of the mean pain score for patients given the magnet what is the confidence interval estimate of the population mean ? Round to one decimal place as needed.) b. Construct the 90% confidence interval estimate of the mean pain score for patients given the sham treatment what is the confidence interval estimate of the population mean ? Round to one decimal place as needed ) c. Compare the results. Does the treatment with magnets appear to be e A. Since the confidence intervals do not overlap, do not overlap t appears that the magnet treatments are less effective than the sham treatments that the B. Since the confidence intervals overlap, it appears that the magnet treatments are less effective than the sham treatments C. Since the confidence intervals do not overlap it appears that the magnet treatments are more effective than the sham treatments Click to select your answens) Welcome to My StatLab

Explanation / Answer

A) At 90% confidence interval the critical value is 1.645

The confidence interval is

Mean +/- z* * sd/sqrt(n)

= 10 +/- 1.645 * 2.6/sqrt(35)

= 10 +/- 0.72

= 9.3, 10.8

B) The Confidence interval is

= Mean +/- z* * sd/sqrt(n)

= 8.2 +/- 1.645 * 2.2/sqrt(35)

= 8.2 +/- 0.61

= 7.59, 8.81

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