Question

In: Statistics and Probability

1. The following data was collected in a clinical trial evaluating a new compound designed to...

1. The following data was collected in a clinical trial evaluating a new compound designed to improve wound healing in trauma patients. The new compound was compared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured and the data are shown below

Percent Wound Healing

Treatment

0-25%

26-50%

51-75%

76-100%

New Compound (n=125)

15

37

32

41

Placebo (n=125)

36

45

34

10

Is there a difference in the extent of wound healing by treatment? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance.

2. Use the data in Problem #1 and pool the data across the treatments into one sample of size n=250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution: 30%, 40%, 20% and 10% and a=0.05 to run the appropriate test.

Percent Wound Healing

Treatment

0-25%

26-50%

51-75%

76-100%

Total

Number of Patients

51

82

66

51

250

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