The following data were collected in a clinical trial evaluating a

1. The following data were 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 ? =0.05 to run the appropriate test. 3. The following data were collected in an experiment designed to investigate the impact of different positions of the mother on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study included 20 women who were assigned to one position and had the fetal heart rate measured in that position. Each woman was between 28-32 weeks gestation. The data are shown below.     Back Side Sitting Standing 20 21 24 26 24 23 25 25 26 25 27 28 21 24 28 29 19 16 24 25     Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. New Medication 44 76 Placebo 21 99   Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance. 5. A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a placebo. Before starting the trial, a pilot study is conducted involving 7 participants. The objective of the study is to assess how systolic blood pressure changes over time untreated. Systolic blood pressures are measured at baseline and again 4 weeks later Is there a statistically significant difference in blood pressures over time? Run the test at a 5% level of significance. Baseline 4 Weeks   120 122   145 142   130 135   160 158   152 155   143 140   126 Is there a difference in mean SBP between treatments? Run the appropriate test at ? =0.05.