The sample values in the table represent service times in minutes. This data is also provided in
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Question:
The sample values in the table represent service times in minutes. This data is also provided in a spreadsheet for your convenience :
Question: For theR-chart, what is the value of the upper control limit (UCL) (rounded to two spaces after the decimal)?
Observation Number | ||||
Sample | 1 | 2 | 3 | 4 |
1 | 10.1 | 10.6 | 9.8 | 9.9 |
2 | 9.7 | 9.5 | 10.3 | 10.5 |
3 | 10.1 | 10.7 | 9.2 | 10 |
4 | 9.9 | 9.8 | 10.4 | 10.1 |
5 | 10.4 | 10.1 | 10.9 | 9.9 |
The control charts constant chart is given below:
Sample Size (n) | Factor for X-bar (A2) | Factor for LCL for R (D3) | Factor for UCL for R (D4) |
2 | 1.88 | 0 | 3.267 |
3 | 1.023 | 0 | 2.574 |
4 | 0.729 | 0 | 2.282 |
5 | 0.577 | 0 | 2.114 |
6 | 0.483 | 0 | 2.004 |
7 | 0.419 | 0.076 | 1.924 |
8 | 0.373 | 0.136 | 1.864 |
9 | 0.337 | 0.184 | 1.816 |
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