Question: 8.10. A process is in control with = 75 and 5 = 2. The process specifications are at 80 8. The sample size n=5. (a)

8.10. A process is in control with = 75 and 5 =8.10. A process is in control with = 75 and 5 =8.10. A process is in control with = 75 and 5 =

8.10. A process is in control with = 75 and 5 = 2. The process specifications are at 80 8. The sample size n=5. (a) Estimate the potential capability. (b) Estimate the actual capability. (c) How much could process fallout be reduced by shifting the mean to the nominal dimension? Assume that the quality characteristic is normally distributed 2. Do not calculate Com for exercise 8.11 below. 8.11. Consider the two processes shown in Table 8E.1 (the sample size n=5): TABLE 8E. 1 Process Data for Exercise 8.11 Process A Process B XA = 100 XB = 105 SA= 3 SB = 1 Specifications are at 100 10. Calculate Cp, Cpk Cpm and interpret these ratios. Which process would you prefer to use? 8.15. Table 8E.3 presents data on the cycle time in hours) to process small loan applications. Prepare a normal probability plot of these data. The loan agency has a promised decision time to potential customers of 24 hours. Based on the data in the table and the normal probability plot, what proportion of the customers will experience longer waiting times? TABLE 8E.3 Cycle Time Data for Exercise 8.15 16.3 19.1 22.0 10.6 19.3 17.6 16.4 19.6 16.3 18.5 14.7 18.1 14.6 17.2 18.2 17.5 19.3 18.3 18.0 19.6 17.8 20.9 19.4 17.1 15.1 18.7 18.9 20.8 15.6 14.8 14.1 21.7 22.2 20.2 19.1 16.5 22.5 18.2 16.4 20.8 8.19. An electric utility tracks the response time to customer- reported outages. The data in Table 8E.7 are a random sample of 40 of the response times (in minutes) for one operating division of this utility during a single month. (a) Estimate the capability of the utility's process for responding to customer-reported outages. (b) The utility wants to achieve a 90% response rate in under two hours, as response to emergency outages is an important measure of customer sat- isfaction. What is the capability of the process with respect to this objective? TABLE 8E.7 Response Time Data for Exercise 8.19 80 102 86 94 86 106 105 110 127 97 110 104 97 128 98 84 97 87 99 94 105 104 84 77 125 85 80 104 103 109 115 89 100 96 96 87 106 100 102 93

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