a) Manufacturer DEF has a process they inherited from company PQR they recently bought. Company PQR assured manufacturer DEF that the process operates at a six-sigma level. Manufacturer DEF does not believe them. The specification for a part in the process is 2.80cm+/0.10cm, and the standard deviation for the process is 0.02 . Is manufacturer DEF correct in their belief? Explain. (10 pts) b) A company has four machines, each of which produces 200 parts per hour. The machines run for 24 hours each day, for 365 days of the year. How many defective parts can be made each year to ensure a sigma level of 5?(10pts)