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, 24, 15, 20]; Machine #2 measurements [ 15, 22, 23, 18]; Machine #3 measurements [ 24, 24, 17, 15]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

26.33and 13.67

b.

22.34and 17.66

c.

28.84and 11.16

d.

46and -6

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