| 4. Using the information from problem 3, if Josh desires to reduce their number of containers to 10, how does this impact the system? What has to change, if it assumed that demand, container size, and safety stock percentage do not change, and what is that change? Chapter 8 p. 290 ( 4 pointes each What has to change? = What is that change in units? = 5. Peirong works at Sarahs Wholesale Flower Shoppe, which operates at the 4 sigma level, with about 8,000 DPMO, which was determined recently. At that time, Peirongs process was found to have 1000 total defects. They want to improve to the 5 sigma level, or about 200 DPMO. Assuming nothing else changes, what would their new total defect level have to be? Chapter 8 8 points p. 293-294 Number of Defects = 6. The following sample information was obtained by taking four doughnuts per hour for 12 hours from the Carters Bakerys doughnut process and weighing them: Chapter 8 pp 309-311 | Hour | Weights (grams) | Hour | Weights (grams) | | 1 | 120, 105, 98, 100 | 7 | 110, 102, 101, 99 | | 2 | 90, 95, 100, 104 | 8 | 100, 101, 105, 96 | | 3 | 100, 102, 100, 110 | 9 | 98, 97, 101, 100 | | 4 | 94, 98, 95, 101 | 10 | 99, 100, 97, 110 | | 5 | 98, 104, 102, 100 | 11 | 99, 97, 100, 101 | | 6 | 104, 97, 108, 100 | 12 | 98, 100, 100, 105 | For the data shown above, a. Find the and R for each sample. 24 Points (1 point each answer in table) Note- An error in computing x or R impacts all other calculations | Hour | | R | Hour | | R | | 1 | | | 7 | | | | 2 | | | 8 | | | | 3 | | | 9 | | | | 4 | | | 10 | | | | 5 | | | 11 | | | | 6 | | | 12 | | | | | | | | | | b. Find the and for the 12 samples. 5 Points (2.5 points each) Ans.: = = c. Find the 3-sigma UCL and LCL for the mean and range charts. 12 points (3 points each answer) Ans.: Constants from Table 8.10 page 311- 7. Abels Organic Eggs collects 20 samples with 100 eggs in each sample. They want to construct a P chart to track the proportion of broken eggs in each sample. The table below shows the number of defective eggs per sample. Pp. 312-313 | Sample | Eggs | Sample | Eggs | Sample | Eggs | | 1 | 6 | 8 | 3 | 15 | 5 | | 2 | 8 | 9 | 5 | 16 | 6 | | 3 | 9 | 10 | 4 | 17 | 7 | | 4 | 3 | 11 | 6 | 18 | 4 | | 5 | 4 | 12 | 7 | 19 | 5 | | 6 | 1 | 13 | 2 | 20 | 6 | | 7 | 3 | 14 | 1 | TOTAL | 95 | a. Determine Centerline . 5 Points Ans.: b. Determine standard deviation . 5 Points Ans: c. Determine the 3-sigma (z = 3.0) UCL and LCL. 10 Points ( 5 point each) |
