Cartons of Plaster of Paris are supposed to weigh exactly 32 oz. Inspectors want to develop process control charts. They take ten samples of six boxes each and weigh them
Based on the following data, compute the lower and upper control limits and determine whether the process is in control.
Sample Mean Range
1 33.8 1.1
2 34.6 0.3
3 34.7 0.4
4 34.1 0.7
5 34.2 0.3
6 34.3 0.4
7 33.9 0.5
8 34.1 0.8
9 34.2 0.4
10 34.4 0.3
n = 6; overall mean = 34.23; = 0.52.
Upper control limit 34.48116 1.04208
Center line 34.23 0.52
Lower control limit 33.97884 0
The mean values for samples 1, 2, 3, and 7 fall outside the control limits on the x-bar chart and sample 1 falls outside the upper limit on the R-chart. Therefore, the process is out of control.
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