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A Discussion of Sample Sizes

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By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 4.5 seconds.

a. How many measurements should be made in order to be 95% certain that the maximum error of estimation will not exceed 1 second?
b. What sample size is required for a maximum error of 2 seconds?

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This solution provides a step by step response detailing how to calculate for sample size. An Excel template for each problem is included and a Word document is attached, which presents the formula required for this problem and the solution output in chart format.

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