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, 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 6.0 and a standard deviation of 2.3 After being given the sham treatments, the 40 patients had pain scores with a mean of 7.9 and a standard deviation of 25. Complete parts (a) through (c) below. Construct the 90% 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?

Explanation / Answer

For patients given magnet treatment
mean = 6
std. dev. = 2.3
n = 40

For 90% CI, z-value = 1.64
lower limit = 6 - 1.64*2.3/sqrt(40) = 5.4036
upper limit = 6 + 1.64*2.3/sqrt(40) = 6.5964

5.4 < mu < 6.6

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