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Problem Questions
1. Thermostats are subjected to rigorous testing before they are shipped to around the world. Results from the last five samples are shown in the table. Draw and R Chart and an . Based on the charts, is the process under control? (20 Points)
Observations |
|||||
| Sample |
1 |
2 |
3 |
4 |
5 |
| 1 | 73.5 | 70.8 | 72.2 | 73.6 | 71.0 |
| 2 | 71.3 | 71.0 | 73.1 | 72.7 | 72.2 |
| 3 | 70.0 | 72.6 | 71.9 | 72.4 | 73.3 |
| 4 | 71.1 | 70.6 | 70.3 | 74.2 | 73.6 |
| 5 | 70.8 | 70.7 | 70.7 | 73.5 | 71.1 |
Answer 1:
2. A professor records the number of students who complain each week throughout the semester. If the class size is forty students, what are 3-sigma control limits for this class? Construct a control p-chart and interpret the data. Is the process in control? (20 points)
| Week number | Complaints |
| 1 | 5 |
| 2 | 2 |
| 3 | 7 |
| 4 | 1 |
| 5 | 3 |
| 6 | 2 |
| 7 | 8 |
| 8 | 1 |
| 9 | 3 |
| 10 | 5 |
| 11 | 4 |
| 12 | 6 |
| 13 | 3 |
| 14 | 1 |
| 15 | 4 |
Answer 2:
3. A department store chain is designing a layout for a new store. The to provide as much convenience as possible for her customers. Based on historical data, the number of trips between departments per hour is given in the . A a preliminary layout is also shown.
Closeness Factors (Trips per hour)
1/O 2/S 3/H 4/T 5/A 6/E
1. Office Supplies (O) — 40 100 50 20 10
2. Sporting Goods (S) — 100 80 60 80
3. Hardware (H) —
