A First Course in Quality Engineering, 2nd Edition

592 Appendix 2

5.5 UCL(P) = 0�127, CL(P) = 0�05, LCL(P) = 0�0�

5.7 UCL(C) = 16�5, CL(C) = 9, LCL(C) = 1�5�

5.9 a. Control chart for current control:

UCL(X

–

) = 894�4, CL(X

–

) = 891, LCL(X

–

) = 887�5�

UCL(R) = 5�997, CL(R) = 1�835, LCL(R) = 0�

A few X

–

 values and a few R values are outside limits�

b. X

–

- and R-charts for controlling at the given standard μ = 882�

UCL(X

–

) = 885�5, CL(X

–

) = 882, LCL(X

–

) = 878�5�

UCL(R) = 5�997, CL(R) = 1�835, LCL(R) = 0�

Numerous X

–

 values are outside the limits because a standard

for the process mean is being imposed�

c. X

–

-  and R-charts for controlling at the given standard

μ = 882 and the given σ = 3�

UCL(X

–

) = 888�4, CL(X

–

) = 882, LCL(X

–

) = 875�6�

UCL(R) = 11