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QUESTION 4 (10 MARKS PART 1 The unique colors of the cashmere Sweaters your firm makes, result from heating undyed yarn in a kettle with

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QUESTION 4 (10 MARKS PART 1 The unique colors of the cashmere Sweaters your firm makes, result from heating undyed yarn in a kettle with a dye liquor. The pH acidity of the liquor is critical for regulating dye uptake and hence the final color. There are 3 Rettles, all of which receive dye liquor from a common source. Twice each day, the pH of the liquor in each kettle measured, pving a sample of size 3 The process has been operating in control with 4 ande-0.137. (a) Give the center line and controllimits for the schart. () Give the center line and control limits for the chart PART 2 An x chart plots the means of samples of size 4 against center line CL and control limits tat 680 and UCL 750. The process has been in control What are the process mean and standard deviation ? QUESTIONS (10 MARKS) Explain the relation between the specification imes, the natural tolerances and the capability of a production process. Include a relevant sketch in your answer QUESTION (20 MARKS) The Table displays a record sheet on which operators have recorded 15 samples of measurements on the distance between two mounting holes on an electrical meter. The measurements are reasonably Normal a) Estimate the mean and standard deviation of the distance between holes for all the observations produced by this process Explain the process in detail b) Make a sketch comparing the Normal distribution with this mean and standard deviation with the specification limits 55 136 c) What are p and Cpk based on the data? How would you characterize the capability of the process? (Mention both center and variability obs1 SS 60 48 obs3 55 18 62 62 50 28 obs 55 48 55 sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 62 48 62 60 45 48 48 obs2 55 55 55 62 45 50 60 45 62 55 55 55 45 45 45 obss 60 62 62 55 55 55 48 55 48 48 48 45 55 55 SS 48 55 55 55 48 48 60 62 48 55 SS 62 55 55 55 45 62 62 62 QUESTION 4 (10 MARKS PART 1 The unique colors of the cashmere Sweaters your firm makes, result from heating undyed yarn in a kettle with a dye liquor. The pH acidity of the liquor is critical for regulating dye uptake and hence the final color. There are 3 Rettles, all of which receive dye liquor from a common source. Twice each day, the pH of the liquor in each kettle measured, pving a sample of size 3 The process has been operating in control with 4 ande-0.137. (a) Give the center line and controllimits for the schart. () Give the center line and control limits for the chart PART 2 An x chart plots the means of samples of size 4 against center line CL and control limits tat 680 and UCL 750. The process has been in control What are the process mean and standard deviation ? QUESTIONS (10 MARKS) Explain the relation between the specification imes, the natural tolerances and the capability of a production process. Include a relevant sketch in your answer QUESTION (20 MARKS) The Table displays a record sheet on which operators have recorded 15 samples of measurements on the distance between two mounting holes on an electrical meter. The measurements are reasonably Normal a) Estimate the mean and standard deviation of the distance between holes for all the observations produced by this process Explain the process in detail b) Make a sketch comparing the Normal distribution with this mean and standard deviation with the specification limits 55 136 c) What are p and Cpk based on the data? How would you characterize the capability of the process? (Mention both center and variability obs1 SS 60 48 obs3 55 18 62 62 50 28 obs 55 48 55 sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 62 48 62 60 45 48 48 obs2 55 55 55 62 45 50 60 45 62 55 55 55 45 45 45 obss 60 62 62 55 55 55 48 55 48 48 48 45 55 55 SS 48 55 55 55 48 48 60 62 48 55 SS 62 55 55 55 45 62 62 62 QUESTION 4 (10 MARKS PART 1 The unique colors of the cashmere Sweaters your firm makes, result from heating undyed yarn in a kettle with a dye liquor. The pH acidity of the liquor is critical for regulating dye uptake and hence the final color. There are 3 Rettles, all of which receive dye liquor from a common source. Twice each day, the pH of the liquor in each kettle measured, pving a sample of size 3 The process has been operating in control with 4 ande-0.137. (a) Give the center line and controllimits for the schart. () Give the center line and control limits for the chart PART 2 An x chart plots the means of samples of size 4 against center line CL and control limits tat 680 and UCL 750. The process has been in control What are the process mean and standard deviation ? QUESTIONS (10 MARKS) Explain the relation between the specification imes, the natural tolerances and the capability of a production process. Include a relevant sketch in your answer QUESTION (20 MARKS) The Table displays a record sheet on which operators have recorded 15 samples of measurements on the distance between two mounting holes on an electrical meter. The measurements are reasonably Normal a) Estimate the mean and standard deviation of the distance between holes for all the observations produced by this process Explain the process in detail b) Make a sketch comparing the Normal distribution with this mean and standard deviation with the specification limits 55 136 c) What are p and Cpk based on the data? How would you characterize the capability of the process? (Mention both center and variability obs1 SS 60 48 obs3 55 18 62 62 50 28 obs 55 48 55 sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 62 48 62 60 45 48 48 obs2 55 55 55 62 45 50 60 45 62 55 55 55 45 45 45 obss 60 62 62 55 55 55 48 55 48 48 48 45 55 55 SS 48 55 55 55 48 48 60 62 48 55 SS 62 55 55 55 45 62 62 62 QUESTION 4 (10 MARKS PART 1 The unique colors of the cashmere Sweaters your firm makes, result from heating undyed yarn in a kettle with a dye liquor. The pH acidity of the liquor is critical for regulating dye uptake and hence the final color. There are 3 Rettles, all of which receive dye liquor from a common source. Twice each day, the pH of the liquor in each kettle measured, pving a sample of size 3 The process has been operating in control with 4 ande-0.137. (a) Give the center line and controllimits for the schart. () Give the center line and control limits for the chart PART 2 An x chart plots the means of samples of size 4 against center line CL and control limits tat 680 and UCL 750. The process has been in control What are the process mean and standard deviation ? QUESTIONS (10 MARKS) Explain the relation between the specification imes, the natural tolerances and the capability of a production process. Include a relevant sketch in your answer QUESTION (20 MARKS) The Table displays a record sheet on which operators have recorded 15 samples of measurements on the distance between two mounting holes on an electrical meter. The measurements are reasonably Normal a) Estimate the mean and standard deviation of the distance between holes for all the observations produced by this process Explain the process in detail b) Make a sketch comparing the Normal distribution with this mean and standard deviation with the specification limits 55 136 c) What are p and Cpk based on the data? How would you characterize the capability of the process? (Mention both center and variability obs1 SS 60 48 obs3 55 18 62 62 50 28 obs 55 48 55 sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 62 48 62 60 45 48 48 obs2 55 55 55 62 45 50 60 45 62 55 55 55 45 45 45 obss 60 62 62 55 55 55 48 55 48 48 48 45 55 55 SS 48 55 55 55 48 48 60 62 48 55 SS 62 55 55 55 45 62 62 62

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