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Chapter 8: Q 8.95 (page 334)

Civilian Labor Force. Consider again the problem of estimating the mean age, 渭, of all people in the civilian labor force. In Example 8.7on page 328 , we found that a sample size of 2250 is required to have a margin of error of 0.5year 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蟽=12.1 years.

Short Answer

Expert verified

The margin of error is0.791year.

Step by step solution

01

Given Information

It is given that 蟽=12.1

n=900

Confidence level is 95%

za2=1.96

02

Determination of Margin of Error

The margin of error is given by

E=za2蟽n

=1.9612.1900

=0.791

Hence, margin of error is0.791

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