1. A major US automotive manufacturer is using a sampling plan of N=5000, n=200 and c=0 for all lot sizes. (2.5 pts) a. Construct the OC curve using a minimum of 7 points b. Construct the AOQ curve c. Construct the ATI curve d. Determine the AQL value for =0.05, both graphically and by numerically solving e. Determine the AOQL value, both graphically and by numerically solving 2. In Minitab determine a sampling plan using the Poisson distribution (i.e., number of defects), assuming defects per unit for an AQL= 0.6%, a LTPD of 15%, and a lot size of 8000. (1 pt) 3. In Minitab determine a sampling plan using the Poisson distribution (i.e., number of defects), assuming defects per unit for an AQL= 0.6%, a LTPD of 30%, and a lot size of 8000. (0.5 pts) 4. How do your results change if you change the method in #4 to the Binomial distribution (i.e., percent defective, using an AQL= 0.6%, a LTPD of 30%, and a lot size of 8000. (0.5 pts) 5. Using ANSI/ASQ Z1.4, a General Services Administration inspector needs to determine the single sampling plans for the following information: (2 pts) a b c d Inspection Level I II III III Inspection AQL Lot Size Tightened Normal Reduced Normal 1.5 0.65 0.40 2.5 1400 8000 160,000 270 6. The sampling plans generated for #1d, 3, 4, 5, all had the same (or very similar) AQL values and lot sizes. Compare and contrast the sampling plans you generated for each of these, in terms of the sample size and acceptance numbers. If there are differences between the plans provide a brief explanation (1-2 sentences) as to why this may be. How did the result of 6b, with the same lot size and AQL of 6.5, compare to these plans? (2 pts)