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 [24, 20, 18, 19]; Machine #2 measurements [ 12, 19, 19, 19]; Machine #3 measurements [ 18, 20, 17, 20]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a. 20.19and 17.31

b. 22.64and 14.86

c. 24.19and 13.31

d. 34.75and 2.75

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