1. Develop 3 sigma level process control charts for monitoring weight of firewood in bags. An inspector performed sampling over 4 weeks of time frame. Each time, 4 observations were made as below. Calculate and show values for UCL, CL, and LCL using the factors provided in below table (do not calculate these values using the raw data). Draw variable control charts (mean and range). Discuss your conclusion. You can draw using Excel or hand draw and scan. week 1 week 2 week 3 week 4 24 2226 20 28 30 21 24 2222 20 30 28 20 26 26 22 24 26 123452223 A2 Factors for 3 Sigma level (page 195 of textbook) Sample Control Limit Factor Size n for Sample Mean Control Limit Factor for Sample Range D3 D4 1.880 0 3.267 1.023 0 2.575 0.729 0 2.282 0.577 0 2.116 10 0.308 0.223 1.777 0.223 0.348 1.652 20 0.180 0.414 1.586 0.153 0.459 1.541 2. One location of a city was selected as a future garbage collection location. If selected, it will serve as a garbage dump site for the next 25 years. Fifty (50) residential homes that are located near the potential site were sampled. A monthly survey was conducted for 8 months, and the result is tabulated below. Draw a 3-sigma level attribute control chart to analyze the situation. Calculate and show values for UCL, CL, and LCL. Discuss your conclusion. + Week 1 2 3 4 50 6 7 8 complaints 7 6 8 7 2 9 6 3 3. A company wants to introduce (sell) agave syrup in a custom-made bottle. The target weight of syrup packaged in the bottle should be 12 ounces. They are evaluating four different machines with standard deviations of .006, .01, .022, and .04 ounces for Machines A, B, C, and D, respectively. The specification limits are 11.95 and 12.05 ounces. Which machines should receive more detailed evaluation (which machines are capable for further considerations)?