In question 1 I need help in 1.4 and 1.5 if how I can answer those questions. Thank you.

In question 2 I need 2.2

South African Airways has twelve scheduled flight per day from Monday to Friday 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 X X4 Day 1 2 3 4 5 6 7 5 S X 0 -2 0 0 0 8 6 0 7 8 7 5 9 9 2 8 9 9 10 13 10 12 12 12 8 7 8 7 -3 -2 7 10 12 13 6 8 15 14 15 2 2 0 4 5 5 15 8 11 12 12 8 10 17 4 12 15 10 9 12 10 15 16 9 10 11 12 13 14 15 9 7 13 10 12 11 20 1.1. Calculate the following a) Average of subgroup ranges and subgroup standard deviation b) Process mean and standard deviation (8) 1.2. Determine the upper and lower control limits for i and R control charts. (8) 1.3. Set up and control charts on this process. Is this process in control? Explain (16) 1.4. Calculate and interpret the capability indexes for this process. (12) 1.5. A penalty charge of R 15,000.00 is payable by the airline for late departures. Calculate the penalty that South African Airways will pay per annum in penalties. (12) 1.6. Develop a corrective action plan with general recommendations (4) Question 2 132 marks 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 were recordal: 12 10 15 , 67 12 14 13 16 9 13 11 8 10 Assuming normal distribution 2.1. Calculate and evaluate the capability indexes (12) 2.2. Determine the percentage of vehicle that exceeds 15 minutes. (8) 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 Total: 100 marks = 100% Page 2 of 2