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 [19, 13, 19, 14]; Machine #2 measurements [ 12, 20, 24, 15]; Machine #3 measurements [ 13, 24, 13, 13]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

26.44and 6.723

b.

23.64and 9.527

c.

45.58and -12.42

d.

19.19and 13.97

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