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Sample Size Dr. Paul Oswiecmiski wants to estimate the

Chapter 5, Problem 45AYU

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QUESTION:

Problem 45AYU

Sample Size Dr. Paul Oswiecmiski wants to estimate the mean serum HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean serum HDL cholesterol of all 20- to 29-year-old females within 2 points with 99% confidence assuming that s = 13.4 based on earlier studies? Suppose that Dr. Oswiecmiski would be content with 95% confidence. How does the decrease in confidence affect the sample size required?

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QUESTION:

Problem 45AYU

Sample Size Dr. Paul Oswiecmiski wants to estimate the mean serum HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean serum HDL cholesterol of all 20- to 29-year-old females within 2 points with 99% confidence assuming that s = 13.4 based on earlier studies? Suppose that Dr. Oswiecmiski would be content with 95% confidence. How does the decrease in confidence affect the sample size required?

ANSWER:

Answer:

Step 1

For a 99% confidence level,

The sample size required to obtain a  confidence interval for with a margin of error is given by

            

 Using s = 13.4, E = 2 and the Z-score corresponding to 99% confidence level is 2.576.

           

           

  Therefore, n = 298 patients.

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