A student in public administration wants to determine the mean amount members of city councils earn. The error in estimating the mean is to be less than $100 with a 99% level of confidence. The student found a report by the department of labor that estimated the standard deviation to be $1000. What is the required sample size?

Question

Lia Blevins

Business

22 January, 01:10

A student in public administration wants to determine the mean amount members of city councils earn. The error in estimating the mean is to be less than $100 with a 99% level of confidence. The student found a report by the department of labor that estimated the standard deviation to be $1000. What is the required sample size?

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Krista Schmidt · Answer 1

663.58

Explanation:

From the problem:

E, the maximum allowable error, is $100

The value of z for a 99 percent confidence level is 2.576

Estimate of standard deviation is $1,000.

n = [ (z x s) / E] ^ 2

n = [ (2.576 x 1000) / 100}^2

= 25.76^2

=663.58