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, 19, 24, 15]; Machine #2 measurements [ 23, 21, 19, 19]; Machine #3 measurements [ 24, 19, 20, 15]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

27.56and 12.6

b.

42.08and -1.917

c.

22.06and 18.1

d.

25.44and 14.73

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