A normally distributed quality characteristic is monitored, Ask an Expert

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A Normally distributed quality characteristic is monitored throughuse of an x bar and R chart. These charts have the followingparameters n=4

X barchart R chart

UCL=626 UCL=18.795

Center line=620 Center line =8.236

LCL=614 LCL=0

Both charts exhibit control.

a) What is the estimated standard deviation of the process?

b) Suppose an s chart were to be substituted for the R chart. Whatwould be the appropriate parameters of the s chart?

c) If specifications on theproduct were 610 +/- 15, what would be your estimate of the processfraction nonconforming?

d) What could be done to reduce this fraction nonconforming?

e) What is the probability of detecting a shift in the process mean to610 on the first sample following the shift (sigma remainsconstant)?

f) What is the probability ofdetecting a shift in part (e) by at least the third sample afterthe shift occurs?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91001383

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