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A Bottled Water Plant Uses a Production Process Designed to Fill

Question 81

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A bottled water plant uses a production process designed to fill bottles with 20 ounces of water. The population of filling volumes is normally distributed with a standard deviation of 1.3 ounces. Periodically, process engineers take 20-bottle samples and compute the sample mean.
A) What are the upper and lower control limits?
B) Suppose the last five sample means were
19.4 20.2 20.5 20.7 21.1 ounces.
Is the process under control?

Correct Answer:

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a. UCL =20+*1.3/SQRT(20) = 20....

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