Construct and interpret an R-chart for the data in Exercise 11.10 (p. 667)

a. Calculate and plot the upper control limit and, if appropriate, the lower control limit.

b. Calculate and plot the A, B, and C zone boundaries on the R-chart.

c. Plot the sample ranges on the R-chart and use pattern-analysis rules 14 of Figure 11.21 to determine whether the process is under statistical control.

Exercise 11.10

Twenty-five samples of size n = 5 were collected to construct an -chart. The accompanying sample means and ranges were calculated for these data.

a. Calculate the mean of the sample means,  and the mean of the sample ranges, 

b. Calculate and plot the centerline and the upper and lower control limits for the -chart..

c. Calculate and plot the A, B, and C zone boundaries of the -chart.

d. Plot the 25 sample means on the -chart and use the six pattern-analysis rules to determine whether the process is under statistical control.