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The sample values in the table represent service times in minutes. This data is also provided in a spreadsheet for your convenience : 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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