Random samples of size n=36 are taken from a population with mean =150 and standard deviation

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Random samples of size n=36 are taken from a population with mean µ =150 and standard deviation σ = 42.

a. Construct the centerline and the upper and lower control limits for the x chart.

b. Suppose five samples of size 36 produced the following sample means: 133, 142, 150, 165, and 169. Plot these values on the x chart.

c. Are any points outside the control limits? Does it appear that the process is under control? Explain.


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