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Dr. Patel is concerned about the long wait times in his office. The following table presents...

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Question

Basic Math

Dr. Patel is concerned about the long wait times in his office.The following table presents six random observations for thepatient waiting times over a period of 10 days.

Observations (mins)

Day

1

2

3

4

5

6

1

30

17

18

21

19

33

2

17

11

33

33

39

11

3

19

25

40

17

38

13

4

29

31

29

25

22

21

5

15

34

26

14

14

18

6

8

11

29

33

39

17

7

24

24

26

37

28

20

8

14

33

23

16

40

13

9

27

18

30

11

20

17

10

37

35

12

38

29

8

  1. Dr. Patel is willing to use three-sigma limits. Use the givendata and the factors from Table 3.1 (page 110) to constructR-chart and -chart.
  2. Is the process in statistical control? Explain.
  3. If patient surveys indicate that they are willing to waitbetween 10 and 30 minutes before seeing Dr. Patel, is the processcapable of meeting this demand at the three-sigma level?

Table 3.1

Factors For Calculating Three Sigma Limits for the x¯x¯-Chart and R-Chart

Size of Sample (n)

Factor for UCL and LCL for

x¯¯?Chart(A2)x¯-Chart(A2)

Factor for LCL for R-Chart

(D3)(D3)

Factor for UCL for R-Chart

(D4)(D4)

2

1.880

0       

3.267

3

1.023

0       

2.575

4

0.729

0       

2.282

5

0.577

0       

2.115

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

10

0.308

0.223

1.777

Answer & Explanation Solved by verified expert
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A20308D30223D41777Day123456Totalsample MeanSample    See Answer
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