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The Bureau of Labor Statistics collects information on the ages of people in the civilian labor...

The Bureau of Labor Statistics collects information on the ages of people in the civilian labor force and publishes the results in Current Population Survey. Fifty people in the civilian labor force are randomly selected; the mean of their ages is 41.4 years. Assume that the population standard deviation of the ages is 12.1 years.

(a) Find a 99% confidence interval for the mean age of all people in the civilian labor force (round to 2 decimal places). Write a sentence interpreting this confidence interval.

(b) Suppose you would like to conduct a second survey that will give you a margin of error of ±2.5for your 99% confidence interval. How many people would you need in the survey?

Math   Statistics-And-Probability   
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Answer #1

(a)

We can be 99% confident that true mean age of all people in the civilian labor force lie in the interval (36.99 yeras, 45.81 years).

(b)

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