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Information for Questions 17 - 20 : Medical researchers have devised a test that quantitatively measures a person's risk of heart disease.The test scores for

Information for Questions 17 - 20: 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 90% confidence interval for , the true mean score for all marathon runners.

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