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

Question

A doctor wants to estimate the HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the HDL cholesterol within 3 points with 99% confidence assuming sigma = 15.1? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required? A 99% confidence level requires ___ subjects. (Round up to the nearest whole number as needed.) A 95% confidence level requires _______ subjects. (Round up to the nearest whole number as needed.) How does the decrease in confidence affect the sample size required? A. The sample size is the same for all levels of confidence. B. The lower the confidence level the smaller the sample size. C. The lower the confidence level the larger the sample size.

Explanation / Answer

1) n = [z * s/E]^2

n = [2.5758*15.1/3]^2

n = approx 168

Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required?

n = [1.96*15.1/3]^2

n = approx 97.42 or 97

The lower the conf level the smaller the sample size. B option

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