Each value represents the number of mistakes (defects) found ona student loan application. Values for 50 consecutive loanapplications are given. Calculate the appropriate centerline and3-sigma control limits for the c-chart, and then plot the data andcreate a control chart. Does the process appear to be in a state ofstatistical control? Why or why not?
Upper control limit (UCL) =
Centerline (CL) =
Lower control limit (LCL) =
Process in statistical control?
| Acme Company - Daily Output |
| | | |
| Day | June | July | August |
| 1 | 7940 | 7809 | 7401 |
| 2 | 7952 | 7747 | 7344 |
| 3 | 7870 | 7869 | 7490 |
| 4 | 7985 | 7784 | 7488 |
| 5 | 8015 | 7822 | 7685 |
| 6 | 8038 | 7839 | 7466 |
| 7 | 8027 | 7839 | 7511 |
| 8 | 7990 | 7845 | 7491 |
| 9 | 7928 | 7872 | 7353 |
| 10 | 7972 | 7725 | 7521 |
| 11 | 7981 | 7819 | 7376 |
| 12 | 7909 | 7852 | 7633 |
| 13 | 8038 | 7805 | 9542 |
| 14 | 7972 | 7820 | 7562 |
| 15 | 8041 | 7773 | 7455 |
| 16 | 7984 | 7837 | 7686 |
| 17 | 7978 | 7747 | 7477 |
| 18 | 7833 | 7776 | 7482 |
| 19 | 8043 | 7749 | 7603 |
| 20 | 7972 | 7823 | 7671 |
| 21 | 7901 | 7806 | 7535 |
| 22 | 7993 | 7747 | 7360 |
| 23 | 8014 | 7785 | 7519 |
| 24 | 7929 | 7778 | 7507 |
| 25 | 7922 | 7802 | 7597 |
| 26 | 8025 | 7732 | 7487 |
| 27 | 7983 | 7849 | 7452 |
| 28 | 7932 | 7909 | 7407 |
| 29 | 8069 | 7875 | 7407 |
| 30 | 7923 | 7734 | 7434 |
| 31 | | 7563 | 7684 |
