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A clinical trial is run to evaluate the efficacy of a new medication to relieve pain in patients undergoing total knee replacement surgery. In the trial, patients are randomly assigned to receive either the new medication or the standard medication. After receiving the assigned medication, patients are asked to report their pain on a scale of 0-100 with higher scores indicative of more pain. Data on the primary outcome are shown below.
Sample Size
Mean Pain Score
Standard Deviation of Pain Score
New Medication
60
30.31
7.52
Standard Medication
60
53.85
7.44
Because procedures can be more complicated in older patients, the investigators are concerned about confounding by age. For analysis, patients are classified into two age groups, less than 65 and 65 years of age and older. The data are shown below.
Age < 65 Years
Sample Size
Mean Pain Score
Standard Deviation of Pain Score
New Medication
40
25.30
2.46
Standard Medication
25
45.51
1.83
Total: Age < 65 Years
65
33.07
10.16
Age 65+ Years
Sample Size
Mean Pain Score
Standard Deviation of Pain Score
New Medication
20
40.33
2.16
Standard Medication
35
59.80
2.49
Total: Age 65+
55
52.72
9.74
1. Is there a statistically significant difference in mean pain scores between patients assigned to the new medication as compared to the standard medication? Run the appropriate test at .05. (Ignore age in this analysis.)
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