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 [22, 18, 19, 24]; Machine #2 measurements [ 12, 23, 20, 16]; Machine #3 measurements [ 13, 18, 14, 15]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

19.81and 15.85

b.

23.19and 12.48

c.

39.83and -4.167

d.

25.31and 10.35

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