Consider an average control chart for a known quality feature. Suppose this normally distributed feature has...
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Consider an average control chart for a known quality feature. Suppose this normally distributed feature has a sample size of five with a mean and standard error values of 74 and 0.0045 respectively. 2.1 Suppose it was suggested that the 20 control limits be used to set up the control chart for the quality feature instead of the typical 30 limits. What effects would this have on the occurrence of false alarm? [15] 2.2 If the probability of a point falling outside the control limits of your 20 limits in Question 2.1 is approximately 4.7%, compute and interpret the average run length for the chart. [7] 2.3 If the probability of a point falling outside the limits of your 20 control chart for the feature is estimated as 0.27%, compute the average run length for the chart. [3] 2.4 What conclusions can be made from your answers to Questions 2.2 and 2.3? [2] Consider an average control chart for a known quality feature. Suppose this normally distributed feature has a sample size of five with a mean and standard error values of 74 and 0.0045 respectively. 2.1 Suppose it was suggested that the 20 control limits be used to set up the control chart for the quality feature instead of the typical 30 limits. What effects would this have on the occurrence of false alarm? [15] 2.2 If the probability of a point falling outside the control limits of your 20 limits in Question 2.1 is approximately 4.7%, compute and interpret the average run length for the chart. [7] 2.3 If the probability of a point falling outside the limits of your 20 control chart for the feature is estimated as 0.27%, compute the average run length for the chart. [3] 2.4 What conclusions can be made from your answers to Questions 2.2 and 2.3? [2]
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