# Confidence Interval for the Mean, Maximum Error of Estimate

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A random sample of size of 25 taken from a normally distributed population yielded a sample variance of 2.25. What is the value for the maximum error of estimate for a 90% confidence interval for the population mean?

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

n = 25, s = sqrt(variance) = sqrt(2.25) = 1.5, z- score for 90% confidence = 1.645

Margin of error, E = z * (s/sqrt n) = 1.645 * (1.5/sqrt 25) = 0.4935

The maximum error of estimate is 0.4935.

Â© BrainMass Inc. brainmass.com October 4, 2022, 12:08 pm ad1c9bdddf>https://brainmass.com/statistics/confidence-interval/maximum-error-estimate-example-problem-283096