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 3 points with 99% confidence assuming s=10.2 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?

A 95% confidence level requires?

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

A.

Decreasing the confidence level increases the sample size needed.

B.

Decreasing the confidence level decreases the sample size needed.

C.

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

Explanation / Answer

More the sample size, higher is the confidence interval because the distance from mean is inversely dependent on the sample size. thus

B.

Decreasing the confidence level decreases the sample size needed.

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