Homework Answers
x-bar-bar = 19.90833
R-bar = 0.483333
Here, sample size (n) = 4
For n = 4:
A2 = 0.729
D3 = 0
D4 = 2.282
Question – a:
UCL-x-bar = x-bar-bar + A2*R-bar = 19.90833 + 0.729*0.483333 = 20.26068
LCL-x-bar = x-bar-bar - A2*R-bar = 19.90833 - 0.729*0.483333 = 19.55598
Graph: Option C (as per UCL and LCL)
Question – b:
UCL-R = D3*R-bar = 0
LCL-R = D4*R-bar = 2.282*0.483333 = 1.102966
Graph: Option C
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