Question: Dr. Patel is concerned about the long wait times in his office. The following table presents six random observations for the patient waiting times over

  • Dr. Patel is concerned about the long wait times in his office. The following table presents six random observations for the patient waiting times over a period of 12 days.

Observations (mins)

Day

1

2

3

4

5

6

1

21

27

32

25

30

29

2

22

33

30

31

27

34

3

20

29

26

24

32

30

4

32

32

21

34

28

29

5

34

26

35

27

30

26

6

35

30

29

30

31

27

7

38

36

42

35

40

32

8

35

29

30

25

28

30

9

22

25

26

30

36

28

10

26

26

34

34

25

36

11

29

26

20

31

32

33

12

28

22

/24

27

32

31


  • Dr. Patel is willing to use three-sigma limits. Use the given data and the factors from Table 3.1 (page 110) to construct R-chart and xx-chart.
  • Interpret your charts. Are the process mean and process variability in statistical control?
  • The patient surveys indicate that they are willing to wait between 10 and 30 minutes before seeing Dr. Patel. Calculate the process capability index and capability ratio at the three-sigma level. Is the process capable of meeting this demand at the three-sigma level?

Table pg 110

Size of Sample     Factor for UCL & LCL     Factor for LCL            Factor for UCL 

              (n)                  For X-chart (A2)             For R-Chart (D3)     For-Chart (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


  • x-bar Chart: https://www.youtube.com/watch?v=RiKUZqW41UM
  • R-Chart: https://www.youtube.com/watch?v=0CtJJGprG6A
  • Process Capability Ratio: https://www.youtube.com/watch?v=WHpW5lVbuqU
  • Process Capability Index: https://www.youtube.com/watch?v=wPRd2RgoC0E

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