Problem 13, 6.58:A normally distributed quality characteristic is monitored through use of an x and an...

Problem 13, 6.58:A normally distributed quality characteristic is monitored through use of an x and an R chart. These charts have the following parameters (n = 4):

Both charts exhibit control.

DATA:
UCL	626.0	18.795
Center Line	620.0	8.236
LCL	614.0	0

Part A:What is the estimated standard deviation of the process?

Part B:Suppose an s chart were to be substituted for the R chart. What would be the appropriate parameters of the s chart?

Part C:If specifications on the product were 610 ± 15, what would be your estimate of the process fraction nonconforming?

Part D:What could be done to reduce this fraction nonconforming?

Part E:What is the probability of detecting a shift in the process mean to 610 on the first sample following the shift (σ remains constant)?

Part F:What is the probability of detecting the shift in part (e) by at least the third sample after the shift occurs?

Expert Solution

orchestra answered 2 years ago

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