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

a.

21.4and 17.44

b.

41.42and -2.583

c.

26.9and 11.94

d.

24.77and 14.06

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