Problem 4. A randomized experiment studied whether magnetic fields applied over a painful area can reduce pain intensity. The subjects are 54 volunteers with postpolio syndrome who reported muscular or arthritic pain. The pain level when pressing a painful area was graded subjectively on a scale from 0 to 10 (0 is no pain and 10 is maximum pain). Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 45 minutes. Here is a summary of the pain scores for this experiment, expressed as sample means + sample standard deviations: Magnetic device Placebo device n2 = 25 9.5±0.8 8.4土1.8 1.1+1.6 Pre-treatment Post-treatment n1 = 29 9.6±0.7 4.4+3.1 Change 5.2+3.2 Post/Share (1). Is there any evidence that the magnetic device is better than a placebo device in terms of reducing pain at the significance level a = 0,05?

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Problem 4. A randomized experiment studied whether magnetic fields applied over a painful
area can reduce pain intensity. The subjects are 54 volunteers with postpolio syndrome who
reported muscular or arthritic pain. The pain level when pressing a painful area was graded
subjectively on a scale from 0 to 10 (0 is no pain and 10 is maximum pain). Patients were
randomly assigned to wear either a magnetic device or a placebo device over the painful area
for 45 minutes. Here is a summary of the pain scores for this experiment, expressed as sample
means + sample standard deviations:
Magnetic device Placebo device
n1 = 29
9.6+0.7
4.4+
n2 = 25
Pre-treatment
9.5+0.8
Post-treatment
8.4+1.8
Change
5.2+3.2
1.1+1.6
Post/Share
(1). Is there any evidence that the magnetic device is better than a placebo device in terms of
reducing pain at the significance level a = 0.05?
(2). Is there any evidence that the magnetic device can reduce pain at the significance level
a = 0.05?
(3). Please give a 95% confidence interval for the mean difference in pain scores pre- and post-
treatment among patients given the magnetic device.
Transcribed Image Text:Problem 4. A randomized experiment studied whether magnetic fields applied over a painful area can reduce pain intensity. The subjects are 54 volunteers with postpolio syndrome who reported muscular or arthritic pain. The pain level when pressing a painful area was graded subjectively on a scale from 0 to 10 (0 is no pain and 10 is maximum pain). Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 45 minutes. Here is a summary of the pain scores for this experiment, expressed as sample means + sample standard deviations: Magnetic device Placebo device n1 = 29 9.6+0.7 4.4+ n2 = 25 Pre-treatment 9.5+0.8 Post-treatment 8.4+1.8 Change 5.2+3.2 1.1+1.6 Post/Share (1). Is there any evidence that the magnetic device is better than a placebo device in terms of reducing pain at the significance level a = 0.05? (2). Is there any evidence that the magnetic device can reduce pain at the significance level a = 0.05? (3). Please give a 95% confidence interval for the mean difference in pain scores pre- and post- treatment among patients given the magnetic device.
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