If sample proportions are within the UCL and LCL, then the process is said to be in control. If the LCL is calculated to be a negative value, then it is set to 0. The sample proportion of calls not resulting in a satisfactory outcome was found to be p = 0.051. There were 10 samples of 100 calls each, so we haven = Substitute these values in the formula for the upper control limit, rounding the result to four decimal places. UCL = p + 3o- Р (1 — р) = p + 3 in 0.051(1 – 0.051) = 0.051 + 3. %3D
If sample proportions are within the UCL and LCL, then the process is said to be in control. If the LCL is calculated to be a negative value, then it is set to 0. The sample proportion of calls not resulting in a satisfactory outcome was found to be p = 0.051. There were 10 samples of 100 calls each, so we haven = Substitute these values in the formula for the upper control limit, rounding the result to four decimal places. UCL = p + 3o- Р (1 — р) = p + 3 in 0.051(1 – 0.051) = 0.051 + 3. %3D
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
100%
![Step 3
(b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each
sample has 100 calls.
Ap chart is a control chart that is used for proportion-defective data. The upper control limit, UCL, and lower
control limit, LCL, are calculated as follows where p is the sample proportion of defective items and o- is the
standard error of the proportion based on the samples of size n.
UCL = p + 30-
LCL %3D р — Зо- where
Р(1 — р)
0- =
p
If sample proportions are within the UCL and LCL, then the process is said to be in control. If the LCL is
calculated to be a negative value, then it is set to 0.
The sample proportion of calls not resulting in a satisfactory outcome was found to be p =
0.051. There were
10 samples of 100 calls each, so we have n =
Substitute these values in the formula for the upper control limit, rounding the result to four decimal places.
UCL =
p + 30-
p(1 – p)
= p + 3
0.051(1 – 0.051)
= 0.051 + 3
Submit
Skip (you cannot come back)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffae7c33e-d978-40f5-9f98-38011beb158f%2Ff41af364-b802-4500-8e77-f277e5a4a9ba%2Fz43uk4t_processed.png&w=3840&q=75)
Transcribed Image Text:Step 3
(b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each
sample has 100 calls.
Ap chart is a control chart that is used for proportion-defective data. The upper control limit, UCL, and lower
control limit, LCL, are calculated as follows where p is the sample proportion of defective items and o- is the
standard error of the proportion based on the samples of size n.
UCL = p + 30-
LCL %3D р — Зо- where
Р(1 — р)
0- =
p
If sample proportions are within the UCL and LCL, then the process is said to be in control. If the LCL is
calculated to be a negative value, then it is set to 0.
The sample proportion of calls not resulting in a satisfactory outcome was found to be p =
0.051. There were
10 samples of 100 calls each, so we have n =
Substitute these values in the formula for the upper control limit, rounding the result to four decimal places.
UCL =
p + 30-
p(1 – p)
= p + 3
0.051(1 – 0.051)
= 0.051 + 3
Submit
Skip (you cannot come back)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman