Reference no: EM132702730
Question 1: Suppose we want to design a new placebo-controlled trial to evaluate an experimental medication to in-crease lung capacity. The primary outcome is peak ex-piratory piratory flow rate, a continuous variable measured in liters per minute. The primary outcome will be mea. sured after 6 months of treatment. The mean peak ex-piratory flow rate in adults is 300 Ihnin with a standard deviation of 501/min. How many subjects should be enrolled to ensure 80% power to detect a difference of 15 l/min with a two-sided test and α = 0.05? The in-vestigators expect to lose 10% of the participants over the course of follow-up.
Question 2: An investigator wants to estimate caffeine consumption in high school students. How many students would be required to ensure that a 95% confidence in. terval estimate for the mean caffeine intake (measured in mg) is within 15 mg of the true mean? Assume that the standard deviation in caffeine intake is 68 mg.
Question 3: Consider the study proposed in Problem 2. How many students would be required to estimate the proportion of students who consume coffee? Suppose we want the estimate to be within 5 percentage polei of the true proportion with 95% confidence.
Question 4: An investigator want; to design a study to estimate the difference in the proportions of men and women who develop early onset cardiovascular disease (defined as cardiovascular disease before age 50).
Question 5: A study conducted 10 years ago found that 15% and 8% of men and women, respectively, developed early onset cardiovascular disease. How many men and women are needed to generate a 95% confidence interval estimate for the difference in proportions with a margin of error not exceeding 4%? The mean body mass index (BMI) for boys of age 12 years is 23.6 kg/m2.
Question 6: An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to de¬tect a difference in BMI of 2 kg/m'? Assume that the standard deviation in BMI is 5.7 kg/m=.
Question 7: An investigator wants to design a study to estimate the difference in the mean BMI between 12-year-old boys and girls living in New York City. How many boys and girls are needed to ensure that a 95% con¬fidence interval estimate for the difference in mean BMI between boys and girls has a margin of error not exceeding 2 kg/m=? Use the estimate of the variability in BMI from Problem 7.
Attachment:- Practice Problems module.rar