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 [22, 21, 19, 14]; Machine #2 measurements [ 15, 23, 21, 16]; Machine #3 measurements [ 22, 17, 19, 19]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

a. 26.14and 11.86

b. 24.11and 13.89

c. 40and -2

d. 20.89and 17.11

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