Question: A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to

A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:

Machine Measurements
#1 17 15 15 17
#2 16 25 18 25
#3 23 14 23 22

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a) What are the x-bar chart three-sigma upper and lower control limits?

b) What are the r-bar chart three-sigma upper and lower control limits?

c) Is the process under control? How do you know?

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