Please answer this Papper for me

Question 1 Frozen orange juice concentrate is packed in 6-oz cardboard cans. These cans are formed on a machine by spinning them from cardboard stock and attaching a metal bottom panel. As part of the quality control process, people need to inspect possible leak either on the side seam or around the bottom joint. There are 30 samples, each of which has 50 cans were selected at half- hour intervals over a three-shift period. Sample Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Number of Nonconforming Cans 12 15 8 10 4 7 16 9 14 10 5 6 17 12 22 Sample Number 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Number of Nonconforming Cans 8 10 5 13 11 20 18 24 15 9 12 7 13 9 6 1.1. Estimate the average proportion nonconforming for this process (2) 1.2. Calculate the appropriate three-sigma control limits for this process (3) 1.3. Construct a three-sigma control chart. Is the process in statistical control? (7) 1.4. Does the process outcome lead us to revise the control limits? If yes, revise the control limits and construct the control chart and Comment. (11) [23 marks] Question 2 Refer to question 1. As part of their process improvement programme the quality control department decided to collect additional data. Number of Nonconforming Cans 9 Number of Nonconforming Cans 6 4 Sample Number 31 32 33 34 35 36 37 38 39 40 41 42 6 12 5 6 4 6 3 7 6 Sample Number 43 44 45 46 47 48 49 50 51 52 53 54 8 5 6 7 5 6 3 5 + 4 Page 2 of 4 2.1. Estimate the average proportion nonconforming for the 09new process (2) 2.2. Calculate the appropriate three-sigma control limits for the new process (3) 2.3. Construct a three-sigma control chart. Is the process in statistical control? (7) 2.4. Should you revise the control limits for the new process? Justify. (2) 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? (10) 2.6. List the assumptions for the selected test statistic. (3) [27 marks] Total: 50 marks = 100%