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 [20, 20, 16, 22]; Machine #2 measurements [ 14, 16, 16, 20]; Machine #3 measurements [ 18, 16, 21, 14]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a.

22.37and 13.13

b.

19.46and 16.04

c.

36.75and -1.25

d.

24.21and 11.29

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