1. A clinical trial designed to show the efficacy of a new drug in reducing progression to hypertension reports the following data. Using this information, compute the relative risk of progression to hypertension among patients receiving the new drug as compared to the placebo.

	New Drug	Placebo
Sample size	200	200
Progression to hypertension	11%	21%

2. A ferritin test is a popular test to measure a person's current iron stores. In women, ferritin is approximately normally distributed with a mean of 89 ng/mL and a standard deviation of 23 ng/mL. If 50 women are tested, what is the probability that the mean ferritin exceeds 90?

3. A new non-invasive screening test is proposed that is claimed to be able to identify patients with impaired glucose tolerance based on a battery of questions related to health behaviors. The new test is given to 75 patients. Based on each patient's responses to the questions they are classified as positive or negative for impaired glucose tolerance. Each patient also submits a blood sample and their glucose tolerance status is determined. The results are tabulated below. What is the sensitivity of the screening test?

Screening Test	Impaired Glucose Tolerance	Not Impaired
Positive	23	17
Negative	9	41