# Question: A normally distributed quality characteristic is monitored through use of

A normally distributed quality characteristic is monitored through use of an

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. What would be the appropriate parameters of the s chart?

(c) If specifications on the product were 610 ± 15, what would be your estimate of the process fraction nonconforming?

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

(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)?

(f) What is the probability of detecting the shift in part (e) by at least the third sample after the shift occurs. Pr{detect by 3rd sample}=1- Pr{not detect by 3rd sample}

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. What would be the appropriate parameters of the s chart?

(c) If specifications on the product were 610 ± 15, what would be your estimate of the process fraction nonconforming?

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

(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)?

(f) What is the probability of detecting the shift in part (e) by at least the third sample after the shift occurs. Pr{detect by 3rd sample}=1- Pr{not detect by 3rd sample}

## Relevant Questions

Control charts for have been maintained on a process and have exhibited statistical control. The sample size is n = 6. The control chart parameters are as follows: (a) Estimate the mean and standard deviation of the ...The waiting time data in Exercise 6.66 may not be normally distributed. Transform these data using a natural log transformation. Plot the transformed data on a normal probability plot and discuss your findings. Set up ...Reconsider the situation in Exercise 6.61. Construct an individuals control chart using the median of the span-two moving ranges to estimate variability. Compare this control chart to the one constructed in Exercise 6.61 and ...In the semiconductor industry, the production of microcircuits involves many steps. The wafer fabrication process typically builds these microcircuits on silicon wafers, and there are many microcircuits per wafer. Each ...A control chart for the fraction nonconforming is to be established using a center line of p = 0.10. What sample size is required if we wish to detect a shift in the process fraction nonconforming to 0.20 with probability ...Post your question