[Solution Library] Small boxes of NutraFlakes cereal are labeled "net weight 10 ounces." Each hour, random samples of size n = 4 boxes are weighed to check
Question: Small boxes of NutraFlakes cereal are labeled "net weight 10 ounces." Each hour, random samples of size n = 4 boxes are weighed to check process control. Five hours of observations yielded the following:
| Weight | ||||
| Time | Box 1 | Box 2 | Box 3 | Box 4 |
| 9 A.M. | 9.8 | 10.4 | 9.9 | 10.3 |
| 10 A.M. | 10.1 | 10.2 | 9.9 | 9.8 |
| 11 A.M. | 9.9 | 10.5 | 10.3 | 10.1 |
| Noon | 9.7 | 9.8 | 10.3 | 10.2 |
| 1 P.M. | 9.7 | 10.1 | 9.9 | 9.9 |
Using these data and the information in the Control Chart Limits Factors Table below (if you are doing it by hand), construct limits for xbar- and R-charts. Is the process in control? What other steps should the QC department follow at this point?
| Control Chart Limits Factors | |||
|
Sample Size
n |
Mean Factor
A 2 |
Upper Range
D 4 |
Lower Range
D 3 |
| 2 | 1.880 | 3.628 | 0 |
| 3 | 1.023 | 2.574 | 0 |
| 4 | 0.729 | 2.282 | 0 |
| 5 | 0.577 | 2.114 | 0 |
| 6 | 0.483 | 2.004 | 0 |
| 7 | 0.419 | 1.924 | 0.076 |
| 8 | 0.373 | 1.864 | 0.136 |
| 9 | 0.337 | 1.816 | 0.184 |
| 10 | 0.308 | 1.777 | 0.223 |
| 12 | 0.266 | 1.716 | 0.284 |
Deliverable: Word Document 
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