# Question: Physicians have been recommending more exercise for their patients particularly

Physicians have been recommending more exercise for their patients, particularly those who are overweight. One benefit of regular exercise appears to be a reduction in cholesterol, a substance associated with heart disease. To study the relationship more carefully, a physician took a random sample of 50 patients who do not exercise and measured their cholesterol levels. He then started them on regular exercise programs. After 4 months, he asked each patient how many minutes per week (on average) he or she exercised; he also measured their cholesterol levels. Column 1 = weekly exercise in minutes, column 2 = cholesterol level before exercise program, and column 3 = cholesterol level after exercise program.
a. Do these data allow us to infer that the amount of exercise and the reduction in cholesterol levels are related?
b. Produce a 95% interval of the amount of cholesterol reduction for someone who exercises for 100 minutes per week.
c. Produce a 95% interval for the average cholesterol reduction for people who exercise for 120 minutes per week.

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