1or 2 a. Construct the 95% confidence interval estimate of the mean pain score for patients given the magnet treatment. b. Construct the 95% confidence interval estimate of the mean pain score for patients given the sham treatment. C. Compare the results. Does the treatment with magnets appear to be effective? O A. Since the confidence intervals do not overlap, it appears that the magnet treatments are more effective than the sham treatments. O B. Since the confidence intervals overlap, it appears that the magnet treatments are no more effective than the sham treatments. D C. Since the confidence intervals do not overlap, it appears that the magnet treatments are no more effective than the sham treatments. O D. Since the confidence intervals overlap, it appears that the magnet treatments are less effective than the sham treatments.

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### Study on the Effectiveness of Magnets for Back Pain Treatment

**Introduction:**
A study was conducted to test the effectiveness of magnet treatments for back pain. Thirty-five patients were given a treatment both with magnets and with a sham (placebo) treatment.

**Data Collection:**
Pain was measured on a scale from 0 (indicating no pain) to 100 (indicating extreme pain). The results were as follows:
- Patients given magnets had a mean pain score of 11.3 with a standard deviation of 11.1.
- Patients given the sham treatment had a mean pain score of 22.4 with a standard deviation of 18.2.

**Tasks:**

a. **Construct the 95% Confidence Interval** for the mean pain score for patients given the magnet treatment.

b. **Construct the 95% Confidence Interval** for the mean pain score for patients given the sham treatment.

c. **Comparison and Analysis:**
   - Compare the results. Does the treatment with magnets appear to be effective?
   - **Options:**
     - A. Since the confidence intervals do not overlap, it appears that the magnet treatments are more 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 no more effective than the sham treatments.
     - D. Since the confidence intervals overlap, it appears that the magnet treatments are less effective than the sham treatments.

**Conclusion:**
Based on the analysis of the confidence intervals, determine if the magnet treatment significantly reduces pain compared to the sham treatment. Use the result to conclude the effectiveness of the treatment.
Transcribed Image Text:### Study on the Effectiveness of Magnets for Back Pain Treatment **Introduction:** A study was conducted to test the effectiveness of magnet treatments for back pain. Thirty-five patients were given a treatment both with magnets and with a sham (placebo) treatment. **Data Collection:** Pain was measured on a scale from 0 (indicating no pain) to 100 (indicating extreme pain). The results were as follows: - Patients given magnets had a mean pain score of 11.3 with a standard deviation of 11.1. - Patients given the sham treatment had a mean pain score of 22.4 with a standard deviation of 18.2. **Tasks:** a. **Construct the 95% Confidence Interval** for the mean pain score for patients given the magnet treatment. b. **Construct the 95% Confidence Interval** for the mean pain score for patients given the sham treatment. c. **Comparison and Analysis:** - Compare the results. Does the treatment with magnets appear to be effective? - **Options:** - A. Since the confidence intervals do not overlap, it appears that the magnet treatments are more 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 no more effective than the sham treatments. - D. Since the confidence intervals overlap, it appears that the magnet treatments are less effective than the sham treatments. **Conclusion:** Based on the analysis of the confidence intervals, determine if the magnet treatment significantly reduces pain compared to the sham treatment. Use the result to conclude the effectiveness of the treatment.
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