2. Among coffee drinkers, men drink a mean of 3.2 cups per day with a standard deviation of 0.8 cups. Assume the number of coffee drinks per day follows a normal distribution.a. What proportion drink 2 cups per day or more?b. What proportion drink no more than 4 cups per day?c. If the top 5% of coffee drinkers are considered heavy coffee drinkers, what is the minimum number of cups consumed by a heavy coffee drinker? Hint: Find the 95th percentile.
6.6 Practice Problems (Worksheet 2)3. A study is run to estimate the mean total cholesterol level in children 2-6 years of age. A sample of 9 participants is selected and their total cholesterol levels are measured as follows.185 225 240 196 175 180 194 147 223Generate a 95% confidence interval for the true mean total cholesterol levels in adults with a history of hypertension. x185225240196175180194147223
7.9 Practice Problems (Worksheet 3)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 HealingTreatment 0-25% 26-50% 51-75% 76-100%New Compound (n=125) 15 37 32 41Placebo (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.
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 Standing20 21 24 2624 23 25 2526 25 27 2821 24 28 2919 16 24 25 Is there a significant difference in mean fetal heart rates by position? Run the testat a 5% level of significance.