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Sample Size Dr. Paul Oswiecmiski wants to estimate the
Chapter 5, Problem 45AYU(choose chapter or problem)
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.