Q6. Samples of n = 5 units are taken from a process every hour. The and...
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Q6. Samples of n = 5 units are taken from a process every hour. The and R values for a particular quality characteristic are determined. After 25 samples have been collected, we calculate = 20 and R = 4.56. (a) What are the three-sigma control limits for and R? (b) Both charts exhibit control. Estimate the process standard deviation. (c) Assume that the process output is normally distributed. If the specifications are 19 5, what are your conclusions regarding the process capability? (d) If the process mean shifts to 24, what is the probability of not detecting this shift on the first subsequent sample? Q6. Samples of n = 5 units are taken from a process every hour. The and R values for a particular quality characteristic are determined. After 25 samples have been collected, we calculate = 20 and R = 4.56. (a) What are the three-sigma control limits for and R? (b) Both charts exhibit control. Estimate the process standard deviation. (c) Assume that the process output is normally distributed. If the specifications are 19 5, what are your conclusions regarding the process capability? (d) If the process mean shifts to 24, what is the probability of not detecting this shift on the first subsequent sample?
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