can you please answer question 2-4 in full. This is mgmt science operations mgmt section 01

2) [10 points] The principal of an elementary school is trying to do a performance analysis of 5th grade exam grading process. There are 6 home room classes in 5th grade. Each class has 30 students. Each student faces 3 exams during the school year (assume that there were no absences for exams). It was found that 4 exams were graded incorrectly during the school year. a) What is the epmo metric for exam grading process? b) What sigma level does it correspond to? (You may need to use the Excel template). 3) [10 points] Describe three recent situations in which you were directly affected by poor product or service quality. Suggest one statistical process control chart for each of the above situations which can improve the quality and explain how the chart can be used to improve the quality. 4) [10 points] A quality control inspector has taken four samples with five observations each at the Beautiful Shampoo Company, measuring the volume of shampoo per bottle. The average range for the four samples is 0.4 ounces and the average mean of the observations is 19.8 ounces. Compute the control limits for x-bar and R-charts for the bottling operation