EX #8

Given the data below, determine the sample means and ranges, grand average, range average, and UCL and LCL for the Xbar and R charts. Plot the points and control limits on the charts provided. Show your work for your calculations. Is the process in control or not?

Sample	1	2	3	X	R
1	32.10	32.05	32.20
2	32.20	32.20	32.20
3	32.00	32.05	32.10
4	32.00	31.70	31.80
5	31.90	31.75	32.10
Average

X-BAR CHART

R CHART

32.30 32.25 32.20 32.15 32.10 32.05 32.00 31.95 31.90 31.85 31.80 1 2 3 4 5 0.50 0.45 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 1 3 4 5 N