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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab2cc191-2fdd-4696-b5f6-58c0f2050b23%2Fafbbc1d6-dee1-46a7-bbea-59fa397fac2f%2Fyg5oh28_processed.png&w=3840&q=75)
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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman