A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many

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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 \(s=11.2\) based on earlier studies? Suppose the doctor would be content with \(90 \%\) confidence. How does the decrease in confidence affect the sample size required?

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