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Statistics discussion: Control chart distributions differences for a large sample

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Please help with the following problem. Provide at least 200 words in the solution.

Control charts are a popular (and often reasonable) way to statistically monitor a processes' performance. They are used for both variables (i.e. quantitative measures) and attributes (qualitative measures). Our authors state that the underlying statistical distribution for a p-chart (yes-no attribute) is Binomial....BUT.....for large samples can be approximated by a Normal (bell-shaped) distribution! Why is this true?

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Problem: Control charts are a popular (and often reasonable) way to statistically monitor a processes' performance. They are used for both variables (i.e. quantitative measures) and attributes (qualitative measures). Our authors state that the underlying statistical distribution for a p-chart (yes-no attribute) is Binomial....BUT.....for large samples can be ...

Solution Summary

This posting helps with a statistics discussion. It helps with control chart distribution differences for a large sample. The explanation is given in 218 words.

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