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 10.0 10.0 and a standard deviation of 2.2. After being given the sham treatments, the 40 patients had pain scores with a mean of 9.7and a standard deviation of 2.4. Complete parts (a) through (c) below. 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 mu μ? nothing less than < mu μ less than < nothing (Round to one decimal place as needed.) 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 mu μ? nothing less than < mu μ less than < nothing (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 nbsp do not nbsp do not overlap, it appears that the magnet treatments are more more effective than the sham treatments. B. Since the confidence intervals nbsp do not nbsp do not overlap, it appears that the magnet treatments are no more no more effective than the sham treatments. C. Since the confidence intervals nbsp overlap, it appears that the magnet treatments are less less effective than the sham treatments. D. Since the confidence intervals nbsp overlap, it appears that the magnet treatments are no more no more effective than the sham treatments.
a) For magnet treatment
DF = 40 - 1 = 39
With 39 degrees of freedom and 99% confidence interval the critical value is t0.005, 39 = 2.7079
The confidence interval is
+/- t0.005, 39 *s/sqrt(n)
= 10 +/- 2.7079 * 2/sqrt(40)
= 10 +/- 0.856
= 9.1, 10.9
The confidence interval is 9.1 < < 10.9
b) For sham treatment
The confidence interval is
+/- t0.005, 39 * s/sqrt(n)
= 9.7 +/- 2.7079 * 2.4/sqrt(40)
= 9.7 +/- 1.03
= 8.7, 10.73
c) Option - C
In a study designed to test the effectiveness of magnets for treating back pain, 40 patients...
In a study designed to test the effectiveness of magnets for treating back pain, 40 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 2.2. After being given the sham treatments, the 40 patients had pain scores with a...
In a study designed to test the effectiveness of magnets for treating back pain, 4040 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 4040 patients had pain scores with a mean of 11.011.0 and a standard deviation of 2.52.5. After being given the sham treatments, the 4040 patients had pain scores with a mean...
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 12.0 and a standard deviation of 2.8. After being given the sham treatments, the 40 patients had pain scores with a mean...
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Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05...