Question: Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of defective records in
Five data entry operators work at the data processing department of the Birmingham 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. Defectives | Sample No. | No. Defectives | Sample No. | No. Defectives |
| 1 | 6 | 11 | 7 | 21 | 16 |
| 2 | 5 | 12 | 6 | 22 | 12 |
| 3 | 20 | 13 | 16 | 23 | 5 |
| 4 | 9 | 14 | 3 | 24 | 6 |
| 5 | 11 | 15 | 12 | 25 | 12 |
| 6 | 9 | 16 | 7 | 26 | 9 |
| 7 | 11 | 17 | 13 | 27 | 15 |
| 8 | 9 | 18 | 4 | 28 | 6 |
| 9 | 7 | 19 | 18 | 29 | 11 |
| 10 | 14 | 20 | 17 | 30 | 3 |
Part 2a) Establish
3
upper and lower control limits.
UCLp
=
________
(enter your response as a number between 0 and 1, rounded to three decimal places).Part 3
LCLp
=
________
(enter your response as a number between 0 and 1, rounded to three decimal places).Part 4b) Why can the lower control limit not be a negative number?
A.
Since the percent of defective records is always a positive number.
B.
Since the percent of defective records cannot be a negative number.
C.
Since the upper control limit is positive.
D.
Since the upper control limit cannot be a negative number.
Part 5c) The industry standard for the upper control limit is 0.10. What does this imply about Birmingham Bank's own standards?The industry standard is
not as strict as
stricter than
the same as
the standard at Birmingham Bank.
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