The data in the following table were collected for the purpose of constructing an x-chart. a. Calculate

The data in the following table were collected for the purpose of constructing an xÌ…-chart.

a. Calculate x and R for each sample.
b. Calculate x and R.
c. Calculate and plot the centerline and the upper and lower control limits for the xÌ…-chart.
d. Calculate and plot the A, B, and C zone boundaries of the xÌ…-chart.
e. Plot the 20 sample means on the xÌ…-chart. Is the process in control? Justify your answer.

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Sample Measurements 19.7 19.4 18.7 20.2 19.6 20.6 21.2 22.6 18.7 21.2 20.7 20.1 19.4 18.4 18.8 3 4 21.2 20.4 17.3 21.8 20.9 18.1 20.9 22.3 17.6 17.4 18.3 22.3 20.3 22.8 19.5 20.6 18.6 19.7 23.1 20.7 20.4 21.4 21.2 20.6 18.6 21.7 20.4 10 22.6 22.7 20.1 19.7 18.6 18.2 18.5 21.5 21.0 21.2 17.7 19.8 19.7 19.5 20.2 19.1 18.3 19.2 11 13 14 20.7 19.7 18.7 19.6 18.9 20.5 23.2 21.4 19.9 19.8 22.4 20.0 17.8 21.2 21.8 19.7 21.0 20.5 20.6 16.9