for sample size n=5, A2=0.577, D3=0, D4=2.114, d2=2.236
(5.4.1)
LCL=+A2*=5.17-0.577*1.17=4.495
UCL=+A2*=5.17+0.577*1.17=5.845
(5.4.2)
LCL=D3*=0*1.17=0
UCL=D4*=2.114*1.17=2.473
(5.4.3)
Cp = (USL-LSL)/(6*Sigma)
Sigma= R̄ / d2=1.17/2.236=0.523
Cr=1/Cp
LSL and USL are needed for this part of question,
following information has been generated
sample | 1 | 2 | 3 | 4 | 5 | 6 | mean() | range ( R ) |
SubGroup1 | 5.9 | 5 | 4.8 | 5.2 | 5.6 | 5.4 | 5.32 | 1.1 |
SubGroup2 | 5.2 | 5.1 | 5 | 5.7 | 5.6 | 5.43 | 5.34 | 0.7 |
SubGroup3 | 4.6 | 4.2 | 5.8 | 5 | 4.1 | 4.9 | 4.77 | 1.7 |
SubGroup4 | 5.5 | 5.1 | 5 | 5.9 | 4.73 | 5.2 | 5.24 | 1.17 |
=5.17 | =1.17 |
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