## (Solved) Twenty samples of subgroup size 7 ( n = 7) were collected for a

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

Given that

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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This question was answered on: Oct 15, 2019

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