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 350 records typed by these operators has been noted, as follows: No. Sample No. Sample No. Sample No. Defectives 17 No. Defectives Defectives No. 1 7 11 6 21 2 4 12 6 22 13 3 18 13 15 23 6 4 11 14 4 24 8 5 11 15 12 25 14 6 9 16 8 26 10 7 11 17 13 27 14 8 18 28 6 9 6 19 19 29 11 10 14 20 17 30 2

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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 350 records typed by these operators has been noted, as follows:

| Sample No. | No. Defectives | Sample No. | No. Defectives | Sample No. | No. Defectives |
|------------|----------------|------------|----------------|------------|----------------|
| 1          | 7              | 11         | 6              | 21         | 17             |
| 2          | 4              | 12         | 6              | 22         | 13             |
| 3          | 18             | 13         | 15             | 23         | 6              |
| 4          | 11             | 14         | 4              | 24         | 8              |
| 5          | 11             | 15         | 12             | 25         | 14             |
| 6          | 9              | 16         | 8              | 26         | 10             |
| 7          | 11             | 17         | 13             | 27         | 14             |
| 8          | 8              | 18         | 5              | 28         | 6              |
| 9          | 6              | 19         | 19             | 29         | 11             |
| 10         | 14             | 20         | 17             | 30         | 2              |

This table records the number of defective entries identified each day over a 30-day period. For each sample number, the corresponding number of defective entries is given. This data can be used to analyze and improve the data entry processes at the bank.
Transcribed Image Text: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 350 records typed by these operators has been noted, as follows: | Sample No. | No. Defectives | Sample No. | No. Defectives | Sample No. | No. Defectives | |------------|----------------|------------|----------------|------------|----------------| | 1 | 7 | 11 | 6 | 21 | 17 | | 2 | 4 | 12 | 6 | 22 | 13 | | 3 | 18 | 13 | 15 | 23 | 6 | | 4 | 11 | 14 | 4 | 24 | 8 | | 5 | 11 | 15 | 12 | 25 | 14 | | 6 | 9 | 16 | 8 | 26 | 10 | | 7 | 11 | 17 | 13 | 27 | 14 | | 8 | 8 | 18 | 5 | 28 | 6 | | 9 | 6 | 19 | 19 | 29 | 11 | | 10 | 14 | 20 | 17 | 30 | 2 | This table records the number of defective entries identified each day over a 30-day period. For each sample number, the corresponding number of defective entries is given. This data can be used to analyze and improve the data entry processes at the bank.
a) Establish 3σ upper and lower control limits.

\[ \text{UCL}_p = \square \; (\text{enter your response as a number between 0 and 1, rounded to three decimal places}). \]

\[ \text{LCL}_p = \square \; (\text{enter your response as a number between 0 and 1, rounded to three decimal places}). \]

b) Why can the lower control limit not be a negative number?

- ( ) A. Since the percent of defective records cannot be a negative number.
- ( ) B. Since the percent of defective records is always a positive number.
- ( ) C. Since the upper control limit cannot be a negative number.
- ( ) D. Since the upper control limit is positive.

c) 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 \[\square\] the standard at Birmingham Bank.
Transcribed Image Text:a) Establish 3σ upper and lower control limits. \[ \text{UCL}_p = \square \; (\text{enter your response as a number between 0 and 1, rounded to three decimal places}). \] \[ \text{LCL}_p = \square \; (\text{enter your response as a number between 0 and 1, rounded to three decimal places}). \] b) Why can the lower control limit not be a negative number? - ( ) A. Since the percent of defective records cannot be a negative number. - ( ) B. Since the percent of defective records is always a positive number. - ( ) C. Since the upper control limit cannot be a negative number. - ( ) D. Since the upper control limit is positive. c) 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 \[\square\] the standard at Birmingham Bank.
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