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
icon
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)
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Statistical Quality Control
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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman