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The margin of error of the random selection is 0.20
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:
So, we have:
The z-value for 99% confidence level is 2.576.
Substitute 2.576 for z
Take square roots
Multiply
Approximate
Hence, the margin of error is 0.20
Read more about margin of error at: