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Consider a process to prepare a metal for a certain application. There are five parameters that must be considered: temperature, quenching rate, cooling time, carbon content, CO2 concentration. It is desired to determine which of these parameters has the most influence on the process. There are two levels for each parameter as shown below. Eight experiments were defined as follows: Experiment Carbon Content (wt% C) 1 2 3 4 5 1) What size orthogonal array should be used for evaluation (assume noise is negligible)? 2) Generate the array with the level values (i.e. Level 1 and Level 2). 6 7 8 Temperature (°C) Quenching Rate(°C/s) Cooling time (s) Carbon Content (wt% C) CO₂ Concentration (%) 3 4 5 6 7 8 1 1 1 1 6 6 6 6 Quenching Rate (°C/s) Four trials were run for the experiments defined above: Experiment 1 T1 68.00 69. 74.36 71.71 91.27 54.39 64.65 60.31 35 35 140 140 35 35 140 140 Level 1 760 35 1 1 5 Cooling Time 1 1 300 300 300 300 1 1 T2 61.41 41 7元 4.76 61.30 Level 2 900 140 58.42 90.89 73.01 91.51 60.69 300 6 20 CO₂ Concentration (mol %) 5 20 5 20 5 20 5 20 T3 66.33 86.07 94.57 77.23 84.54 50.10 72.68 76.73 Temperature (°C) 760 900 760 900 900 760 900 760 T4 97.07 51.67 96.81 60.05 63.72 79.62 84.33 74.97 3) Find the average output and S/N ratio for each experiment. Hint: This problem is similar to the one above. You have the output in the above table and you can use that to generate the S/N. 4) From your analysis, what parameter influences the process most? Explain your results.

Consider a process to prepare a metal for a certain application. There are five parameters that must be considered: temperature, quenching rate, cooling time, carbon content, CO2 concentration. It is desired to determine which of these parameters has the most influence on the process. There are two levels for each parameter as shown below. Eight experiments were defined as follows: Experiment Carbon Content (wt% C) 1 2 3 4 5 1) What size orthogonal array should be used for evaluation (assume noise is negligible)? 2) Generate the array with the level values (i.e. Level 1 and Level 2). 6 7 8 Temperature (°C) Quenching Rate(°C/s) Cooling time (s) Carbon Content (wt% C) CO₂ Concentration (%) 3 4 5 6 7 8 1 1 1 1 6 6 6 6 Quenching Rate (°C/s) Four trials were run for the experiments defined above: Experiment 1 T1 68.00 69. 74.36 71.71 91.27 54.39 64.65 60.31 35 35 140 140 35 35 140 140 Level 1 760 35 1 1 5 Cooling Time 1 1 300 300 300 300 1 1 T2 61.41 41 7元 4.76 61.30 Level 2 900 140 58.42 90.89 73.01 91.51 60.69 300 6 20 CO₂ Concentration (mol %) 5 20 5 20 5 20 5 20 T3 66.33 86.07 94.57 77.23 84.54 50.10 72.68 76.73 Temperature (°C) 760 900 760 900 900 760 900 760 T4 97.07 51.67 96.81 60.05 63.72 79.62 84.33 74.97 3) Find the average output and S/N ratio for each experiment. Hint: This problem is similar to the one above. You have the output in the above table and you can use that to generate the S/N. 4) From your analysis, what parameter influences the process most? Explain your results.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Consider a process to prepare a metal for a certain application. There are five parameters that must be considered: temperature, quenching rate, cooling time, carbon content, CO₂ concentration. It is desired to determine which of these parameters has the most influence on the process. There are two levels for each parameter as shown below. Temperature (°C) Quenching Rate(°C/s) Cooling time (s) Carbon Content (wt% C) CO₂ Concentration (%) Eight experiments were defined as follows: Experiment Carbon Content (wt% C) 1 2 3 4 5 6 7 8 1) What size orthogonal array should be used for evaluation (assume noise is negligible)? 2) Generate the array with the level values (i.e. Level 1 and Level 2). 1 1 1 1 6 6 6 6 Quenching Rate (°C/s) 35 35 140 140 35 35 140 140 Four trials were run for the experiments defined above: Experiment 1 2 3 4 5 6 7 8 Level 1 760 35 1 1 5 T1 68.00 69.84 74.36 71.71 91.27 54.39 64.65 60.31 Cooling Time 1 1 300 300 300 300 1 1 T2 61.41 64.76 61.30 58.42 90.89 Level 2 900 140 300 6 20 73.01 91.51 60.69 CO₂ Concentration (mol %) 5 20 5 20 5 20 5 20 T3 66.33 86.07 94.57 77.23 84.54 50.10 72.68 76.73 Temperature (°C) 760 900 760 900 900 760 900 760 T4 97.07 51.67 96.81 60.05 63.72 79.62 84.33 74.97 3) Find the average output and S/N ratio for each experiment. Hint: This problem is similar to the one above. You have the output in the above table and you can use that to generate the S/N. 4) From your analysis, what parameter influences the process most? Explain your results.
Transcribed Image Text:Consider a process to prepare a metal for a certain application. There are five parameters that must be considered: temperature, quenching rate, cooling time, carbon content, CO₂ concentration. It is desired to determine which of these parameters has the most influence on the process. There are two levels for each parameter as shown below. Temperature (°C) Quenching Rate(°C/s) Cooling time (s) Carbon Content (wt% C) CO₂ Concentration (%) Eight experiments were defined as follows: Experiment Carbon Content (wt% C) 1 2 3 4 5 6 7 8 1) What size orthogonal array should be used for evaluation (assume noise is negligible)? 2) Generate the array with the level values (i.e. Level 1 and Level 2). 1 1 1 1 6 6 6 6 Quenching Rate (°C/s) 35 35 140 140 35 35 140 140 Four trials were run for the experiments defined above: Experiment 1 2 3 4 5 6 7 8 Level 1 760 35 1 1 5 T1 68.00 69.84 74.36 71.71 91.27 54.39 64.65 60.31 Cooling Time 1 1 300 300 300 300 1 1 T2 61.41 64.76 61.30 58.42 90.89 Level 2 900 140 300 6 20 73.01 91.51 60.69 CO₂ Concentration (mol %) 5 20 5 20 5 20 5 20 T3 66.33 86.07 94.57 77.23 84.54 50.10 72.68 76.73 Temperature (°C) 760 900 760 900 900 760 900 760 T4 97.07 51.67 96.81 60.05 63.72 79.62 84.33 74.97 3) Find the average output and S/N ratio for each experiment. Hint: This problem is similar to the one above. You have the output in the above table and you can use that to generate the S/N. 4) From your analysis, what parameter influences the process most? Explain your results.
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