Assessment type Assignment 1 - 10% Assignment 2 - 10% Assignment 3 - 10% Project Summative Assessment Page 1 of 3 Question 1 Mango Airways has twelve scheduled flight per day from Cape Town to Durban. As part of their process improvement programme they have decided to conduct an investigation into the turnaround time at Cape Town airport. The turnaround time specified is +15 minutes. The data recorded below was obtained during a typical 15 day period. The turnaround time is assumed to be normally distributed. X3 X 1 7 8 7 5 9 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 2 X2 8 7 8 7 -3 -2 7 10 12 13 6 8 15 14 15 6 5 5 8 6 - 1 4 12 15 10 X4 -2 2 2 0 4 5 5 15 8 11 12 12 8 10 17 X5 0 -2 0 0 0 8 0 13 9 7 13 10 12 11 20 8 9 9 10 13 10 12 12 9 12 10 15 16 1.1. Calculate the process mean and standard deviation (2) 1.2. Determine the upper and lower control limits for and R control charts. 1.3. Determine the upper and lower control limits for x and S control charts. (2) 1.4. Set up x and R control charts on this process. Is this process in control? Explain. (4) 1.5. Set up x and S control charts on this process. Is this process in control? Explain. 1.6. Calculate and interpret the process capability index for this process. (9) 1.7. A penalty charge of R 15,000.00 is payable by the airline for late departures. Calculate the penalty that Mango will pay per annum in penalties. (8) [31 marks] Question 2 The owner of a car wash station wants to improve the time for wash and dry. The policy states that if the process exceeds 15 minutes, there will be no charge. The time per vehicle on a typical day are normally distributed and were recorded as follows: 12 10 15 9 6 7 12 14 13 16 9 13 11 8 10 8 2.1. Calculate and evaluate the capability ratios. (9) 2.2. Determine the percentage of vehicle that exceeds 15 minutes. (4) 2.3.The cost per wash and dry is R 40.00. Determine the loss of revenue if the station is open every day of the year. (6) [19 marks) Total: 50 marks = 100% Page 2 of 3