A machine is used to fill boxes with rice to customers willing to buy 198 grams...

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A machine is used to fill boxes with rice to customers willing to buy 198 grams to 214 grams and the weight of rice in the boxes is described by a distribution with a mean of 206 grams and a standard deviation of 2 grams. (i) Calculate the process capability? (6 marks) (ii) If the natural variation of the filling process changed and now has a process average of 210 grams while the standard deviation remains the same, will the process capability (6 marks) change, and if so, by how much? (iii) Which process is more capable; the original process, or the changed process? Show how you have obtained your answer. (3 marks) A manager has the option of using any of three machines for a job. The processes and their standard deviations are listed in Table BQ4. Processing Machines A B C Standard Deviation 0.19 0.23 0.10 Table CQ4 Determine which machines are capable if the specifications are 9.9 mm and 10.7 mm. (10 marks) A machine is used to fill boxes with rice to customers willing to buy 198 grams to 214 grams and the weight of rice in the boxes is described by a distribution with a mean of 206 grams and a standard deviation of 2 grams. (i) Calculate the process capability? (6 marks) (ii) If the natural variation of the filling process changed and now has a process average of 210 grams while the standard deviation remains the same, will the process capability (6 marks) change, and if so, by how much? (iii) Which process is more capable; the original process, or the changed process? Show how you have obtained your answer. (3 marks) A manager has the option of using any of three machines for a job. The processes and their standard deviations are listed in Table BQ4. Processing Machines A B C Standard Deviation 0.19 0.23 0.10 Table CQ4 Determine which machines are capable if the specifications are 9.9 mm and 10.7 mm. (10 marks)

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Solution i To calculate the process capability we need to calculate the Cp value which is the ratio of the tolerance range to the standard deviation T... View the full answer