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, 16, 23, 24]; Machine #2 measurements [ 12, 17, 16, 14]; Machine #3 measurements [ 23, 12, 15, 23]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

23.59and 11.91

b.

19.91and 15.59

c.

25.91and 9.59

d.

41.75and -6.25

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