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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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