Control charts
Frito-Lay
| Statistical Process Control Project (Frito-Lay) | Current Set Limits | ||||||||
| x1 | x2 | x3 | x4 | ̅X | UCL | LCL | |||
| Sample 1 | 1.98 | 2.11 | 2.15 | 2.06 | 2.22 | 1.98 | |||
| Sample 2 | 1.99 | 2.00 | 2.08 | 1.99 | |||||
| Sample 3 | 2.20 | 2.10 | 2.20 | 2.05 | New Process Limits | ||||
| Sample 4 | 2.18 | 2.01 | 2.23 | 1.98 | UCL | LCL | |||
| Sample 5 | 2.01 | 2.08 | 2.14 | 2.16 | |||||
Stensil
| Stensil Fertilizer and Chemical Company SPC Case | ||||||||||||||||
| Stensil Fertilizer and Chemical Company produces both organic and inorganic fertilizers. Organic fertilizers are generally safe, but inorganic fertilizers are carefully monitored by the EPA due to the presence of hazardous waste materials (hazmat). Most bags contain some hazardous content, but theoretically there should be none. The EPA allowable specification is 90 parts per million (PPM). The quality control department at Stensil feels that there is no problem with hazardous material content, which has been averaging just over 50 PPM. The production department estimates that a substantial investment would be required to lower the amount of this contaminant. These two departments, after consulting with the marketing department and the EPA, suggest that a control chart be set up to monitor hazmat content. Five samples will be tested per day and plotted as one point on the chart. Use the data in Table 1 to set up the control limits. Then, after the limits are in place for this process, use Table 2 to determine whether or not the process remains in control for the week of September 6—10. | ||||||||||||||||
| Table 1 | Samples | Table 2 | Samples | |||||||||||||
| Date | 1 | 2 | 3 | 4 | 5 | ̅X | R | Date | 1 | 2 | 3 | 4 | 5 | |||
| August | 2 | 57 | 54 | 62 | 45 | 36 | 50.8 | 26 | September | 6 | 63 | 49 | 50 | 45 | 53 | |
| 3 | 56 | 54 | 47 | 42 | 62 | 52.2 | 20 | 7 | 57 | 70 | 45 | 52 | 61 | |||
| 4 | 40 | 70 | 58 | 45 | 44 | 51.4 | 30 | 8 | 45 | 38 | 46 | 54 | 52 | |||
| 5 | 52 | 58 | 40 | 52 | 46 | 49.6 | 18 | 9 | 48 | 52 | 39 | 57 | 61 | |||
| 6 | 57 | 42 | 52 | 58 | 59 | 53.6 | 17 | 10 | 45 | 53 | 48 | 46 | 66 | |||
| 9 | 62 | 49 | 42 | 33 | 55 | 48.2 | 29 | |||||||||
| 10 | 40 | 39 | 49 | 59 | 48 | 47 | 20 | |||||||||
| 11 | 64 | 50 | 42 | 57 | 50 | 52.6 | 22 | |||||||||
| 12 | 58 | 53 | 52 | 48 | 50 | 52.2 | 10 | |||||||||
| 13 | 60 | 50 | 41 | 41 | 50 | 48.4 | 19 | |||||||||
| 16 | 52 | 47 | 48 | 58 | 40 | 49 | 18 | |||||||||
| 17 | 55 | 40 | 56 | 49 | 45 | 49 | 16 | |||||||||
| 18 | 47 | 48 | 50 | 50 | 48 | 48.6 | 3 | |||||||||
| 19 | 50 | 50 | 49 | 51 | 51 | 50.2 | 2 | |||||||||
| 20 | 51 | 50 | 51 | 51 | 62 | 53 | 12 | |||||||||
| 23 | 51 | 50 | 49 | 50 | 50 | 50 | 2 | |||||||||
| 24 | 45 | 47 | 70 | 46 | 36 | 48.8 | 34 | |||||||||
| 25 | 50 | 35 | 48 | 39 | 47 | 43.8 | 15 | |||||||||
| 26 | 55 | 70 | 50 | 30 | 51 | 51.2 | 40 | |||||||||
| 27 | 49 | 38 | 64 | 36 | 47 | 46.8 | 28 | |||||||||
| 30 | 59 | 62 | 40 | 54 | 64 | 55.8 | 24 | |||||||||
| 31 | 36 | 33 | 49 | 48 | 56 | 44.4 | 23 | |||||||||
| September | 1 | 50 | 67 | 53 | 43 | 40 | 50.6 | 27 | ||||||||
| 2 | 44 | 52 | 46 | 47 | 44 | 46.6 | 8 | |||||||||
| 3 | 70 | 45 | 50 | 47 | 41 | 50.6 | 29 |