*= 150317018

4. (30 points) The commercial loan operation of a financial institution has a standard for processing new loan applications in 24 hours. Table 1 shows the number of applications processed each day for the last 20 days and the number of applications that required more than 24 hours to complete. Table 1. Number of applications processed and late applications Number of Number Application Late Day S * 1 200 3 2 250 4 3 240 2 4. 300 5 5 200 2 6 250 4 7 240 3 8 260 5 9 270 2 10 280 1 11 220 12 240 10 13 250 4 14 300 6 15 220 20 16 250 3 17 250 6 18 270 7 19 290 3 20 260 1 *= Last digit of your Student ID. For Ex. Your student Id is 150318056 the last digit is 6 then you take the number of late applications as 6. a. Set up the fraction nonconforming control chart for this process. Use the variable-width control limit approach. Plot the preliminary data in Table 1 on the chart. Is the process in statistical control? b. Assume that assignable causes can be found for any out-of-control points on this chart. What center line should be used for process monitoring in the next period, and how should the control limits be calculated? Plot the data under these conditions