Question: Question 2 (54 marks) Refer to question 1. As part of their process improvement programme the quality control department decided to collect additional data. 6

Question 2 (54 marks) Refer to question 1. As

Question 2 (54 marks) Refer to question 1. As part of their process improvement programme the quality control department decided to collect additional data. 6 8 in 6 Sample Number of Sample Number of Number Nonconforming Cans Number Nonconforming Cans 31 9 43 3 32 6 44 6 33 12 45 5 34 5 46 4 35 47 36 4 48 37 6 49 38 3 50 7 39 7 51 5 40 52 41 2 53 42 4 54 2.1. Estimate the average proportion nonconforming for the new process 2.2. Calculate the appropriate three-sigma control limits for the new process 2.3. Construct a three-sigma control chart. Is the process in statistical control? 2.4. Should you revise the control limits for the new process? Justify. (4) 2.5. At a = 0.01 can you conclude that the fraction nonconforming of the previous process is worse than the fraction nonconforming of the new process? (20) 2.6. List the assumptions for the selected test statistic. 6 6 in Question 2 (54 marks) Refer to question 1. As part of their process improvement programme the quality control department decided to collect additional data. 6 8 in 6 Sample Number of Sample Number of Number Nonconforming Cans Number Nonconforming Cans 31 9 43 3 32 6 44 6 33 12 45 5 34 5 46 4 35 47 36 4 48 37 6 49 38 3 50 7 39 7 51 5 40 52 41 2 53 42 4 54 2.1. Estimate the average proportion nonconforming for the new process 2.2. Calculate the appropriate three-sigma control limits for the new process 2.3. Construct a three-sigma control chart. Is the process in statistical control? 2.4. Should you revise the control limits for the new process? Justify. (4) 2.5. At a = 0.01 can you conclude that the fraction nonconforming of the previous process is worse than the fraction nonconforming of the new process? (20) 2.6. List the assumptions for the selected test statistic. 6 6 in

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