A doctor wants to estimate the mean HDL, cholesterol of all 20- to 29-year-old f

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 4 points with 99% assuming s = 19.4 based on earlier studies? Suppose the doctor would be content with 90% confidence. How does the decrease in confidence after the sample size required? A 99% confidence level requires subjects. (Round up to the nearest subject.) A 90% confidence level requires subjects. (Round up to the nearest subject.) How does the decrease in confidence affect the sample size required? The sample size is the same for all levels of confidence. Decreasing the confidence level increases the sample size needed. Decreasing the confidence level decreases the sample size needed.

Explanation / Answer

For given data,

Sample size for 90% confidence level is 15 , for 95% confidence level 20 & for 99% confidence level 29 (Power is same in all cases ie.0.80)

Here we can see that as we increase the confidence level our sample size is increased.

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