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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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  1. 22 January, 01:39
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    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
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