Medical researchers have devised a test that quantitatively measures a person's risk of heart disease.The test scores for the general public are approximately normally distributed with a mean of 50. On the test, higher test scores indicate a higher risk of heart disease.An advocate of long distance running believes that marathon runners should have a lower risk of heart disease than the general public. A random sample of 20 marathon runners is selected and each is tested for their risk of heart disease.Their test scores have a mean of 43.7 and a standard deviation of 4.2.Construct a 95% confidence interval for , the true mean score for all marathon runners. Assume that these test scores follow an approximately normal distribution. Round your answers to three decimal places.

choices

• 43.71.841
• 43.71.966
• 43.74.200
• 43.70.940
• 43.71.624