John Control Company still makes the lever that must be between 19.98 cm and 20.
ID: 3304852 • Letter: J
Question
John Control Company still makes the lever that must be between 19.98 cm and 20.02 cm. JCC mean has drifted due to machine wear. The new mean is now 20.010 cm The standard deviation of JCC's process has now moved up to 0.005 cm. Since JCC is no longer centered on 20.000 cm the Cpk is a better measure of JCC capability. What is the UTL for JCC for this lever? Blank 1 (All answers to three decimals for this problem) What is the LTL for JCC for this lever? Blank 2 What is sigma in cm? Blank 3 What is the Cpklow for the LTL? Blank 4 What is the Cpkhigh for the UTL? Blank 5 What is the Cpk? Blank 6 Is the process capable of delivering at the 99.7%? Blank 7 (yes or no)
Explanation / Answer
a)UTL = 20.02
b)LTL = 19.98
c) Cpk_Low = (Xbar- LSL)/3s = (20.01 - 19.98)/(3*0.005)
= 2
d)Cpk_high = (USL - Xbar)/(3s)
= (20.02 - 20.01)/(3*0.005)
= 0.666666
e) CpK = min(CpL, CpU) = 0.66666
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