Civilian Labor Force. Consider again the problem of estimating the mean age, μ, of all people in the civilian labor force. In Example 8.7 on page 345, we found that a sample size of 2250 is required to have a margin of error of 0.5 year and a 95% confidence level. Suppose that, due to financial constraints, the largest sample size possible is 900. Determine the smallest margin of error, given that the confidence level is to be kept at 95%. Recall that σ = 12.1 years. EXAMPLE Sample Size for Estimating The Civilian Labor Force Consider again the problem of estimating the mean age, μ, of all people in the civilian labor force. a. Determine the sample size needed in order to be 95% confident that μ is within 0.5 year of the point estimate, x. Recall that . Recall that σ = 12.1 years. b. Find a 95% confidence interval for μ if a sample of the size determined in part (a) has a mean age of 43.8 years.
Civilian Labor Force. Consider again the problem of estimating the
EXAMPLE Sample Size for Estimating
The Civilian Labor Force Consider again the problem of estimating the mean age, μ, of all people in the civilian labor force.
a. Determine the sample size needed in order to be 95% confident that μ is within 0.5 year of the point estimate, x. Recall that . Recall that σ = 12.1 years.
b. Find a 95% confidence interval for μ if a sample of the size determined in part (a) has a mean age of 43.8 years.
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