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R3. 51: Which of the following control charts doesn’t work based on the central limit theorem?...

R3. 51:

Which of the following control charts doesn’t work based on the central limit theorem?

  1. A. u chart B. p chart C. X̅ chart D. X chart
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Answer #1

Answer:

D. X chart

Explanation:

We know that the central limit theorem is based on the average values or statistic of independent samples. The u chart, p chart, and X-bar chart are based on the average values or statistic of samples, so these are work based on the central limit theorem, but X chart is the chart of individual observations which does not depends on the average values or statistic of sample, so central limit theorem does not work in this case.

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