1 The final inspection for a car engine is used to check for visual defects. The three defects that occur on this product most frequently are paint runs, improper label alignment, and mis-stamped serial number. An investigation by an engineer into the reason behind the high defect rate begun, with samples collected every day for 25 days. The results are shown in the following table. 0 5 3 5 3 7 1 3 1 3 Mis- stamped Misaligned serial label . 2 4 1 5 2 4 2 7 3 3 1 3 2 2 3 5 3 1 1 2 1 3 1 3 Number of engines Paint SAMPLE examined runs 1 100 2 100 3 100 4 100 5 100 0 100 7 100 8 100 9 100 10 100 11 100 12 100 13 100 14 100 15 100 16 100 17 100 18 100 19 100 20 100 21 100 22 100 23 100 24 100 25 100 4 8 3 5 1 5 8 4 1 1 2 2 1 4. 5 17 2 3 4 1 5 4 2 3 6 1 6 7 6 5 9 7 5 8 7 3 6 4 6 5 6 (a) Using the data in the table, construct a c chart based on the sum of all the defects per sample. Comment on the appearance of the chart. [15 points) (b) Order the type of defects based on the frequency of occurrence and label the one occurring most frequently as very serious (or critical the second most frequent as major and the least fraquent occurring as a minor defect [points) (c) Find the control limits of the chart for demerits based on your classification made in part b. (Use ANSI/ASC standards). Is the process under control? Why? [15 points)