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 [21, 16, 20, 23]; Machine #2 measurements [ 17, 21, 20, 15]; Machine #3 measurements [ 18, 13, 16, 19]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a. 24.71and 11.79

b. 19.96and 16.54

c. 22.87and 13.63

d. 37.25and -0.75

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