Discuss the concepts of resolution and aliasing in DoE (use resolution IV as an example). b)...

    

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Discuss the concepts of resolution and aliasing in DoE (use resolution IV as an example). b) 3 marks Which type of control chart is most appropriate to monitor the following situation? i) Bore diameter of a cylinder when only one cylinder is taken from line every day. ii) The number of potholes in highways iii) The number of errors in account transaction at a bank where the number of accounts varies from month to month iv) The number of automobile claims filed per month at an insurance dealer, assuming a stable number of insured person v) The performance of the breaking mechanism of a certain model of automobile. The car is expected to stop within a certain distance. vi) The number of seeds that germinate from a large pack seeds sold by a nursery, when the number of seeds in a packet may vary. c) 5 marks The welding process performed in a stainless steel component in a production line of exhaust pipes for the automotive industry must be optimized. To achieve this a factorial design is carried out considering the factors: A. Gas flow (l/min) Level- Level + 8 12 B. Intensity (A) 230 C. Chain speed (m/min) 0.6 240 1 The response variable is the quality of the components, measured on a scale from zero to 30 (the greater the value, the better the quality). This DoE has been analyzed using Minitab software and the results are given below. i) The analysis given here is coded or uncoded analysis? Why? ii) Write the transfer function iii) Explain the terms such as effect, coef, p-value, DF and Seq SS iv) What are your interpretations of graphs? v) What factors and levels you consider as the best to maximize quality? 4) 10 Marks a) 2 marks Discuss the concepts of resolution and aliasing in DoE (use resolution IV as an example). b) 3 marks Which type of control chart is most appropriate to monitor the following situation? i) Bore diameter of a cylinder when only one cylinder is taken from line every day. ii) The number of potholes in highways iii) The number of errors in account transaction at a bank where the number of accounts varies from month to month iv) The number of automobile claims filed per month at an insurance dealer, assuming a stable number of insured person v) The performance of the breaking mechanism of a certain model of automobile. The car is expected to stop within a certain distance. vi) The number of seeds that germinate from a large pack seeds sold by a nursery, when the number of seeds in a packet may vary. c) 5 marks The welding process performed in a stainless steel component in a production line of exhaust pipes for the automotive industry must be optimized. To achieve this a factorial design is carried out considering the factors: Level- Level + A. Gas flow (l/min) 8 12 B. Intensity (A) 230 C. Chain speed (m/min) 0.6 240 I The response variable is the quality of the components, measured on a scale from zero to 30 (the greater the value, the better the quality). This DoE has been analyzed using Minitab software and the results are given below. i) The analysis given here is coded or uncoded analysis? Why? ii) Write the transfer function iii) Explain the terms such as effect, coef, p-value, DF and Seq SS iv) What are your interpretations of graphs? v) What factors and levels you consider as the best to maximize quality? Estimated Effects and Coefficients for Y (coded units) Term Constant Effect Coef SE Coef I P Gas flow (1/min) Intensity (A) 18.125 8.875 4.437 -1.125 -0.562 0.1642 110.40 0.1642 27.03 0.000 0.1642 0.000 -3.43 0.006 Chain Speed (m/min) 0.750 0.375 0.1642 2.28 0.045 Gas flow (1/min) *Intensity (A) -6.500 -3.250 0.1642 -19.80 0.000 Intensity (A) *Chain Speed (m/min) 1.125 0.563 0.1642 3.43 0.006 S 0.656696 R-Sq 99.14% R-Sq (adj) = 98.71% Analysis of Variance for Y (coded units) Source Main Effects DF Seq SS Adj SS Adj MS 3 322.375 2-Way Interactions 2 Residual Error 174.063 322.375 174.063 4.313 107.458 F P 0.000 249.18 87.031 201.81 0.000 0.431 #1111 10 2 4.313 Lack of Fit 1.563 1.563 0.781 2.27 0.165 Pure Error 8 2.750 2.750 0.344 Total 15 500.750 Estimated Coefficients for Y using data in uncoded units. Term Constant Gas flow (1/min) Intensity (A) Chain Speed (m/min) Gas flow (1/min) *Intensity (A) Intensity (A) *Chain Speed (m/min) Coef -637.125 78.5938 2.68750 -130.313 -0.325000 0.562500 Mean of Y Main Effects Plot (data means) for Y Gas flow (V/min) 22 20 18 16- 14- Chain Speed (m/min) Intensity (A) 12 230 240 22 20- 18 16- 14- 0.6 1.0 Gas flow (l/min) 4 Interaction Plot (data means) for Y 230 240 0.6 1.0 -25 Gas flow (l/min) -20 8 12 15 -25 Intensity (A) 230 240 -20 Intensity (A) Chain Speed (m/min) 15 Discuss the concepts of resolution and aliasing in DoE (use resolution IV as an example). b) 3 marks Which type of control chart is most appropriate to monitor the following situation? i) Bore diameter of a cylinder when only one cylinder is taken from line every day. ii) The number of potholes in highways iii) The number of errors in account transaction at a bank where the number of accounts varies from month to month iv) The number of automobile claims filed per month at an insurance dealer, assuming a stable number of insured person v) The performance of the breaking mechanism of a certain model of automobile. The car is expected to stop within a certain distance. vi) The number of seeds that germinate from a large pack seeds sold by a nursery, when the number of seeds in a packet may vary. c) 5 marks The welding process performed in a stainless steel component in a production line of exhaust pipes for the automotive industry must be optimized. To achieve this a factorial design is carried out considering the factors: A. Gas flow (l/min) Level- Level + 8 12 B. Intensity (A) 230 C. Chain speed (m/min) 0.6 240 1 The response variable is the quality of the components, measured on a scale from zero to 30 (the greater the value, the better the quality). This DoE has been analyzed using Minitab software and the results are given below. i) The analysis given here is coded or uncoded analysis? Why? ii) Write the transfer function iii) Explain the terms such as effect, coef, p-value, DF and Seq SS iv) What are your interpretations of graphs? v) What factors and levels you consider as the best to maximize quality? 4) 10 Marks a) 2 marks Discuss the concepts of resolution and aliasing in DoE (use resolution IV as an example). b) 3 marks Which type of control chart is most appropriate to monitor the following situation? i) Bore diameter of a cylinder when only one cylinder is taken from line every day. ii) The number of potholes in highways iii) The number of errors in account transaction at a bank where the number of accounts varies from month to month iv) The number of automobile claims filed per month at an insurance dealer, assuming a stable number of insured person v) The performance of the breaking mechanism of a certain model of automobile. The car is expected to stop within a certain distance. vi) The number of seeds that germinate from a large pack seeds sold by a nursery, when the number of seeds in a packet may vary. c) 5 marks The welding process performed in a stainless steel component in a production line of exhaust pipes for the automotive industry must be optimized. To achieve this a factorial design is carried out considering the factors: Level- Level + A. Gas flow (l/min) 8 12 B. Intensity (A) 230 C. Chain speed (m/min) 0.6 240 I The response variable is the quality of the components, measured on a scale from zero to 30 (the greater the value, the better the quality). This DoE has been analyzed using Minitab software and the results are given below. i) The analysis given here is coded or uncoded analysis? Why? ii) Write the transfer function iii) Explain the terms such as effect, coef, p-value, DF and Seq SS iv) What are your interpretations of graphs? v) What factors and levels you consider as the best to maximize quality? Estimated Effects and Coefficients for Y (coded units) Term Constant Effect Coef SE Coef I P Gas flow (1/min) Intensity (A) 18.125 8.875 4.437 -1.125 -0.562 0.1642 110.40 0.1642 27.03 0.000 0.1642 0.000 -3.43 0.006 Chain Speed (m/min) 0.750 0.375 0.1642 2.28 0.045 Gas flow (1/min) *Intensity (A) -6.500 -3.250 0.1642 -19.80 0.000 Intensity (A) *Chain Speed (m/min) 1.125 0.563 0.1642 3.43 0.006 S 0.656696 R-Sq 99.14% R-Sq (adj) = 98.71% Analysis of Variance for Y (coded units) Source Main Effects DF Seq SS Adj SS Adj MS 3 322.375 2-Way Interactions 2 Residual Error 174.063 322.375 174.063 4.313 107.458 F P 0.000 249.18 87.031 201.81 0.000 0.431 #1111 10 2 4.313 Lack of Fit 1.563 1.563 0.781 2.27 0.165 Pure Error 8 2.750 2.750 0.344 Total 15 500.750 Estimated Coefficients for Y using data in uncoded units. Term Constant Gas flow (1/min) Intensity (A) Chain Speed (m/min) Gas flow (1/min) *Intensity (A) Intensity (A) *Chain Speed (m/min) Coef -637.125 78.5938 2.68750 -130.313 -0.325000 0.562500 Mean of Y Main Effects Plot (data means) for Y Gas flow (V/min) 22 20 18 16- 14- Chain Speed (m/min) Intensity (A) 12 230 240 22 20- 18 16- 14- 0.6 1.0 Gas flow (l/min) 4 Interaction Plot (data means) for Y 230 240 0.6 1.0 -25 Gas flow (l/min) -20 8 12 15 -25 Intensity (A) 230 240 -20 Intensity (A) Chain Speed (m/min) 15

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Here are the answers to the questions in detail a Resolution and aliasing in DoE Resolution of a design refers to its ability to distinguish between e... View the full answer