Analyze the data in the following problems using median and up/down run tests with z = ±2.
Given the following run test results of the process output, what do the results of the run tests suggest about the process?
| Test | z-score |
|---|---|
| Median | +1.37 |
| Up/Down | +1.05 |
b. Twenty means were plotted on a control chart. An analyst counted 14 runs above/below the median, and 8 up/down runs. What do the results suggest about the process?
c. Given the following data for the number of defects per spool of cable, using three-sigma limits, is the process in control?
| OBSERVATION | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | |
| Number of defects | 2 | 3 | 1 | 0 | 1 | 3 | 2 | 0 | 2 | 1 | 3 | 1 | 2 | 0 |
d. The postmaster of a small western town receives a certain number of complaints each day about mail delivery. Determine three-sigma control limits using the following data. Is the process in control?
| DAY | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | |
| Number of complaints | 4 | 10 | 14 | 8 | 9 | 6 | 5 | 12 | 13 | 7 | 6 | 4 | 2 | 10 |
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