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Sample Size for Estimating Population Mean

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The manager of a paint supply store wants to estimate the actual amount of paint contained in 1 gallon cans purchased from a nationally known manufacturer. The manufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.02 gallons. A random sample of 50 cans is selected, and the sample mean amount of paint per 1-gallon can is 0.995 gallon.

Assuming 99% confidence, what sample size is needed to produce a margin of error of 0.5 gallons?

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Solution Summary

This solution is comprised of an explanation of how to calculate sample size given the confidence interval and margin of error.

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