Suppose that you are the quality engineer in a company that manufactures a certain chemical product....

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Suppose that you are the quality engineer in a company that manufactures a certain chemical product. This product is obtained from the chemical reaction of two components under a high temperature environment, and the level of contaminant of the resulting product is the main parameter subjected to quality control. After a thorough statistical analysis on the data collected from this process, you found that the process variability follows the normal distribution, in which the average contaminant level in the product, C, in parts per million (ppm) is a function of other variables of the process given by the following equation: 100 200 1000 P² P² P₂P₂T in which P₁ is the average purity index of the component 1, P₂ is the average purity index of the component 2, and T is the temperature at which the chemical reaction is processed in °C. For the standard deviation of the contaminant level in the product, oc, also in parts per million, you found the following equation: c=15000+ 17000 + 2000120 in which op, is the standard deviation of the purity index of the component 1, p2 is the standard deviation of the purity index of the component 2, and is the standard deviation of the chemical reaction temperature. Currently, the product is being processed with components 1 and 2 having average purity levels of 0.80 and 0.85, respectively, at an average temperature controlled at 120°C. Additionally, the standard deviation for the purity index of both components is 0.1, and the standard deviation of the temperature is 0.5°C. In one week, you will have a meeting with a new costumer, who is interested on your product but not sure about its quality standards. a) If your new customer has established a target value for the contaminant level in the product of 380 ppm, is the current process accurate enough to meet this target value? If not, propose two modifications in the process to meet the target value. Justify your proposals based on numbers. Take into consideration that the maximum purity index possible for the components is 1, and that the maximum reaction temperature allowable is 250°C for safety reasons. b) Your customer also has a strict requirement that 99% of the products should have a contaminant level between 350 and 410 ppm. Is the current process capable (or precise enough) to meet this requirement? If not, propose two additional modifications in the process to meet the customer requirements. Justify your proposals based on numbers. Suppose that you are the quality engineer in a company that manufactures a certain chemical product. This product is obtained from the chemical reaction of two components under a high temperature environment, and the level of contaminant of the resulting product is the main parameter subjected to quality control. After a thorough statistical analysis on the data collected from this process, you found that the process variability follows the normal distribution, in which the average contaminant level in the product, C, in parts per million (ppm) is a function of other variables of the process given by the following equation: 100 200 1000 P² P² P₂P₂T in which P₁ is the average purity index of the component 1, P₂ is the average purity index of the component 2, and T is the temperature at which the chemical reaction is processed in °C. For the standard deviation of the contaminant level in the product, oc, also in parts per million, you found the following equation: c=15000+ 17000 + 2000120 in which op, is the standard deviation of the purity index of the component 1, p2 is the standard deviation of the purity index of the component 2, and is the standard deviation of the chemical reaction temperature. Currently, the product is being processed with components 1 and 2 having average purity levels of 0.80 and 0.85, respectively, at an average temperature controlled at 120°C. Additionally, the standard deviation for the purity index of both components is 0.1, and the standard deviation of the temperature is 0.5°C. In one week, you will have a meeting with a new costumer, who is interested on your product but not sure about its quality standards. a) If your new customer has established a target value for the contaminant level in the product of 380 ppm, is the current process accurate enough to meet this target value? If not, propose two modifications in the process to meet the target value. Justify your proposals based on numbers. Take into consideration that the maximum purity index possible for the components is 1, and that the maximum reaction temperature allowable is 250°C for safety reasons. b) Your customer also has a strict requirement that 99% of the products should have a contaminant level between 350 and 410 ppm. Is the current process capable (or precise enough) to meet this requirement? If not, propose two additional modifications in the process to meet the customer requirements. Justify your proposals based on numbers.

Answer rating: 100% (QA)

aBased on the given information the current process is not accurate enough to meet the target value ... View the full answer