Question
A health insurance company operates a 24/7 nurse advice line and is concerned about long call wait times. A time study team collected observations for
A health insurance company operates a 24/7 nurse advice line and is concerned about long call wait times. A time study team collected observations for the advice line?s answer time over a one-week period and the results are shown in the following table.
Observation (seconds) | |||||||
Day | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
1 | 46.5 | 37.2 | 31 | 26.4 | 24.6 | 22 | 21.2 |
2 | 8.4 | 12.1 | 18.7 | 18 | 15 | 13.7 | 12.5 |
3 | 9.5 | 8.3 | 10.6 | 8.5 | 7.2 | 8 | 7.5 |
4 | 8.2 | 22.6 | 25.2 | 30.5 | 20 | 22.8 | 21.5 |
5 | 25.6 | 24 | 19.3 | 19.3 | 17.8 | 18.2 | 17.8 |
6 | 9.7 | 12.5 | 9.3 | 12.8 | 14.8 | 12.5 | 9 |
7 | 19.5 | 11.5 | 7.3 | 20.2 | 16.8 | 14.1 | 8.2 |
a) Management is willing to use three-sigma limits. Use the given data, determine the control limits for an R -chart and an -chart.
b) Plot sample means and ranges on their respective control charts and interpret the results.
x
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