Twenty samples of subgroup size 7 (n= 7) were collected for a variable measurement. Determine the upper control limit (UCL) for an R-chart if the mean of the sample ranges equals 4.4.
Factors for calculating control limits
n A2 D3 D4
2 1.880 0 3.267
3 1.023 0 2.574
4 0.729 0 2.282
5 0.577 0 2.114
6 0.483 0 2.004
7 0.419 0 1.924
For n = 7, D3 = 0, D4 = 1.924
Control limits for R chart:
UCL = D4 * R-bar = 1.924 * 4.4 = 8.4656
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