The diameter of shaft is the characteristic of interest. Based on previous data, the process average...
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The diameter of shaft is the characteristic of interest. Based on previous data, the process average diameter is 40 mm with a process standard deviation of S mm. If samples of size 5 are randomly selected from the process: (a) Find the 3 control limits for the average diameter. [1] (b) What is the probability of a false alarm? And what is the warning limit? [2] (c) If the process mean shifts to 45 mm, what is the probability of detecting this shift by the second sample plotted after the shift? What is the ARL? [4] (d) What is the probability of failing to detect the shift by the third sample plotted after the shift? [1] The diameter of shaft is the characteristic of interest. Based on previous data, the process average diameter is 40 mm with a process standard deviation of S mm. If samples of size 5 are randomly selected from the process: (a) Find the 3 control limits for the average diameter. [1] (b) What is the probability of a false alarm? And what is the warning limit? [2] (c) If the process mean shifts to 45 mm, what is the probability of detecting this shift by the second sample plotted after the shift? What is the ARL? [4] (d) What is the probability of failing to detect the shift by the third sample plotted after the shift? [1]
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