1. Five data entry operators work at the data processing department of the Royal Bank. Each day for 30 days, the number of defective records in a sample of 250 records typed by these operators has been noted, as follows:   Sample No. No. Defective Sample No. No. Defective Sample No. No. Defective 1 18 11 17 21  7 2  5 12 12 22  5 3 16 13  6 23 19 4  4 14  7 24 10 5 11 15 13 25 11 6  8 16 10 26  8 7 12 17  4 27 12 8  4 18  6 28  9 9  6 19 12 29  6 10 16 20  3 30 13   Establish 3σ upper and lower control limits. Why can the lower control limit not be a negative number? The industry standards for the upper and lower control limits are 0.11 and 0.02, respectively. What does this imply about Royal Bank’s own standards?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 11P
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  • 1. Five data entry operators work at the data processing department of the Royal Bank. Each day for 30 days, the number of defective records in a sample of 250 records typed by these operators has been noted, as follows:

 

Sample

No.

No.

Defective

Sample

No.

No.

Defective

Sample

No.

No.

Defective

1

18

11

17

21

 7

2

 5

12

12

22

 5

3

16

13

 6

23

19

4

 4

14

 7

24

10

5

11

15

13

25

11

6

 8

16

10

26

 8

7

12

17

 4

27

12

8

 4

18

 6

28

 9

9

 6

19

12

29

 6

10

16

20

 3

30

13

 

  • Establish 3σ upper and lower control limits.
  • Why can the lower control limit not be a negative number?
  • The industry standards for the upper and lower control limits are 0.11 and 0.02, respectively. What does this imply about Royal Bank’s own standards?
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