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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.)
What could Bristol Myers have done to improve the validity of the results after they had mailed the 10,000 surveys and received 1,983 back? Assume they kept record of who had responded and who had not.
Forecast 2 out of sample forecasts for the final model using following data: Final Estimates of Parameters AR 1 0.9647 0.0388 24.84 0.000.
Is the estimate from the participants significantly higher than the actual number (µ = 3.1)? Use a one-tailed test with = .05.
Suppose a statistician chose to test a hypothesis at sigma = 0.01. The critical value for a right-tailed test is +2.33. If the test value were 1.97, what would the decision be?
An airline estimates that 90% of people booked on their flights actually show up. If the airline books 71 people on a flight for which the maximum number is 69, what is the probability that the number of people who show up will exceed the capacity..
What is the value of the sample proportion p who so they are satisfied with the total cost they pay for their health care? Explain in words what the population parameter p is in this setting.
The ratio of what two numbers in the ANOVA tables gives you the F value? a. 4 and 115 b. 12.327 and 106.464c. 3.082 and .926 d. 119 and 115
What is the logic behind using the sum of the products of deviation scores as the numerator of the formula for the correlation coefficient? Is this logic sound?
1. Provide one example each of a workforce scheduling, a blending, and a logistics linear optimization problem not discussed in the textbook. What is being optimized in each of your examples and why?
What is the probability that exactly six application forms have been falsified? Would you expect this probability to be small or large? Explain.
distracted driving such as texting while driving can increase the chance of a motor vehicle crash. a new report states
If you draw two balls without replacing the first one, what is the possibility that one ball is red and the other is white.
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