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A researcher wishes to determine the difference between HDL cholesterol levels for men and women at age 50. It is believed that such levels are normally distributed. A SRS of 30 men yields average 48

A researcher wishes to determine the difference between HDL cholesterol levels for men and women at age 50. It is believed that such levels are normally distributed. A SRS of 30 men yields average 48 mg/dL with standard deviation 2 and a SRS of 40 women yields average 50 mg/dL with standard deviation 1.8. Give a 95% confidence interval for the difference in means. Be sure to explain your calculation.

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