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 s=19.4 based on earlier studies? 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 subject)

A 95% confidence level requires __ subjects. (Round up to the nearest subject)

How does the decrease in confidence affect the sample size required?

(Multiple choice)

a) Decreasing the confidence level increases the sample size needed.

b) The sample size is the same for all levels of confidence.

c) Decreasing the confidence level decreases the sample size

Explanation / Answer

a) for 99% CI ; z=2.5758

and margin of error E =2

therefore required subjects =(z*std deviaion/E)2 =~625

b) for 95% CI ; z=1.96

therefore required subjects =(z*std deviaion/E)2 =~362

c)

c) Decreasing the confidence level decreases the sample size needed

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