Samples of five items were taken from a process every half an hour. After 50 samples have been collected, we calculate that x=20.0 and R = 1.5. Assume both charts exhibit in-control, and the quality characteristic is normally distributed. (a) Estimate the process parameters, (b) If the process mean is shifted to 20.5, what is the probability of concluding that the process is still in-control? (c) For the shift in part (b), on average how many sample points need to be plotted until the control chart produces any signal? Solution.
Samples of five items were taken from a process every half an hour. After 50 samples have been collected, we calculate that x=20.0 and R = 1.5. Assume both charts exhibit in-control, and the quality characteristic is normally distributed. (a) Estimate the process parameters, (b) If the process mean is shifted to 20.5, what is the probability of concluding that the process is still in-control? (c) For the shift in part (b), on average how many sample points need to be plotted until the control chart produces any signal? Solution.
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Transcribed Image Text:Samples of five items were taken from a process every half an hour. After 50 samples have been
collected, we calculate that x = 20.0 and R = 1.5. Assume both charts exhibit in-control, and the
quality characteristic is normally distributed. (a) Estimate the process parameters, (b) If the process
mean is shifted to 20.5, what is the probability of concluding that the process is still in-control? (c)
For the shift in part (b), on average how many sample points need to be plotted until the control
chart produces any signal?
Solution.
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