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95% = mean ± 1.96SD
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 2.2. After being given the sham treatments, the 35 patients had pain scores with a mean of 9.2 and a standard deviation of 2.5. Complete parts (a) through (c) below.
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 mu?
(Round to one decimal place as needed.)
b. Construct the 95% confidence interval estimate of the mean pain score for patients given the sham treatment.
What is the confidence interval estimate of the population mean mu?
(Round to one decimal place as needed.)
c. Compare the results. Does the treatment with magnets appear to be effective?
A.
Since the confidence intervals overlap, it appears that the magnet treatments are less effective than the sham treatments.
B.
Since the confidence intervals overlap, it appears that the magnet treatments are no more effective than the sham treatments.
C.
Since the confidence intervals do not overlap, it appears that the magnet treatments are less effective than the sham treatments.
D.
Since the confidence intervals do not overlap, it appears that the magnet treatments are no more effective than the sham treatments.
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