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 [21, 16, 16, 21]; Machine #2 measurements [ 18, 14, 19, 16]; Machine #3 measurements [ 13, 24, 13, 21]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

19.56and 15.78

b.

22.78and 12.56

c.

38.67and -3.333

d.

24.81and 10.53

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