A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (Each of size n = 5) taken. The population standard deviation is 1.36.

(a) What is the process standard deviation σ? What is σx?
(b) If z = 3, what are the control limits for the mean chart?
(c) What are the control limits for the range chart?
(d) Is the process incontrol?

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Samples 1 2 3 4 56 7 89 10 10 9 13 10 12 10 0 13 8 10 999 10 10 10 10 8 12 10 10 9 8 08 12 9 911101012 8 10 12 8 12 10 9 10 10 9 9 89 22 lo lo 111o7