a doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old fe

Question

a doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. how many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming a=11.3 based on earlier studies? suppose the doctor would be content with 95% confidence. a doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. how many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming a=11.3 based on earlier studies? suppose the doctor would be content with 95% confidence. a doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. how many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming a=11.3 based on earlier studies? suppose the doctor would be content with 95% confidence.

Explanation / Answer

E=z*s/sqrt n solved for n is n = (z*s/E)^2.

Substitute for s=11.3 and E=2: n = (z*11.3/2)^2

Find the z-value for a 99% CI: 2.5758

Find the z-value for a 95% CI: 1.96

The sample sizes are (2.5758*11.3/2)^2 =212 (rounded up)
and (1.96*11.3/2)^2 = 123.

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