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Control Limits (Confidence Intervals)

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11. Product filling weights for a cereal manufacturer are normally distributed with a mean of 350 grams, a variance of 225 grams and a standard deviation of 15 grams.

a) Develop the control limits that would be used on the company's x-bar control charts of samples of sizes 10, 20, 30.
b) What happens to the control limits as the sample size is increased.
c) What is the advantage of increasing the sample size for control chart purposes?

Use of TI - 83 plus calculator permitted given that steps are provided.

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Solution Summary

This problem demonstrates how to calculate control limits, a concept that is closely related to the idea of confidence intervals. Involved in a control limit problem is the calulation of the standard deviation of a sample mean.

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