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 [18, 22, 20, 14]; Machine #2 measurements [ 15, 20, 14, 21]; Machine #3 measurements [ 21, 15, 20, 17]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

39.08and -2.917

b.

25.22and 10.94

c.

19.97and 16.19

d.

23.19and 12.97

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