MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:The owner of a dry cleaning business studied the number of dry-cleaned items that were returned for rework per day for a 4-week period (Mon-Sat). The results are given below. Complete (a) through (c).
| Time | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|------------------|----|----|----|----|----|----|----|----|----|----|----|----|
| Items Returned | 6 | 10 | 4 | 5 | 9 | 10 | 5 | 6 | 6 | 5 | 7 | |
| Time | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
| Items Returned | 10 | 4 | 5 | 10 | 6 | 9 | 10 | 5 | 9 | 9 | 12 | |
Do you think that the process is in a state of statistical control?
- **A.** Yes. There do not appear to be special causes of variation.
- **B.** No. There is a discernable pattern.
- **C.** No. There is at least one point outside the control limits.
- **D.** No. There are eight consecutive points all above or all below the center line.
Transcribed Image Text:The owner of a dry cleaning business studied the number of dry-cleaned items that were returned for rework per day for a 4-week period (Mon-Sat). The results are given below. Complete (a) through (c).
```
| Time | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|------------------|---|----|----|----|----|----|----|----|----|----|----|----|
| Items Returned | 6 | 10 | 4 | 5 | 9 | 10 | 5 | 8 | 6 | 5 | 6 | 7 |
| Time | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
|------------------|----|----|----|----|----|----|----|----|----|----|----|----|
| Items Returned | 10 | 4 | 5 | 10 | 6 | 9 | 10 | 10 | 5 | 9 | 9 | 12 |
```
a. Construct a c chart for the items per day that are returned for rework. Do you think that the process is in a state of statistical control? Choose the correct chart below.
- Option A: The chart shows data points mostly clustered within the control limits, but with some deviations outside.
- Option B: The chart presents data points closely following the center line, with no points outside the control limits.
- Option C: The chart exhibits variations, with multiple points outside the upper control limit.
Explanation of the graph:
Each graph (A, B, and C) is a c chart displaying "Items Returned" on the y-axis against "Time" on the x-axis numbered from 0 to 24. The line graph shows plotted data points with blue lines connecting them. Each chart includes a centerline (CL) and upper (UCL) and lower control limits (LCL), marked with red lines. The presence of outliers, or lack thereof, indicates if the process is within statistical control.
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