2. A X bar uses a subgroup of size four. The center line is at 110, and the upper and lower three-sigma control limits are at 122 and 98, respectively. (a) Suppose the process mean shifts to 105. Determine the probability that this shift will be detected on the next sample. (b) Find the ARL to detect the shift in part (b)

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
2. A X bar uses a subgroup of size four. The center line is at 110, and the upper and lower
three-sigma control limits are at 122 and 98, respectively.
(a) Suppose the process mean shifts to 105. Determine the probability that this shift
will be detected on the next sample.
(b) Find the ARL to detect the shift in part (b)
Transcribed Image Text:2. A X bar uses a subgroup of size four. The center line is at 110, and the upper and lower three-sigma control limits are at 122 and 98, respectively. (a) Suppose the process mean shifts to 105. Determine the probability that this shift will be detected on the next sample. (b) Find the ARL to detect the shift in part (b)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
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