Question: A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to

A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements [13, 18, 20, 12]; Machine #2 measurements [ 23, 17, 13, 21]; Machine #3 measurements [ 23, 12, 13, 23]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

19.94and 14.72

b.

27.19and 7.473

c.

24.39and 10.28

d.

46.33and -11.67

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