In an SPC application 35 samples are taken with each constitute 6 items. The average of the sample averages is found to be 23.8, and the average of the sample ranges is found to be 0.4. a) For 3σ limits, find the values for central line and control limits for x_bar and R chart. b) What is the probability that the sample mean falls out of control limits even though the process under control? c) What is the probability that four of the six consecutive points falls at the upper side of central line when the process under control? d) Find the average run length (ARL0) for this process.
In an SPC application 35 samples are taken with each constitute 6 items. The average of the sample averages is found to be 23.8, and the average of the sample ranges is found to be 0.4. a) For 3σ limits, find the values for central line and control limits for x_bar and R chart. b) What is the probability that the sample mean falls out of control limits even though the process under control? c) What is the probability that four of the six consecutive points falls at the upper side of central line when the process under control? d) Find the average run length (ARL0) for this process.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
In an SPC application 35 samples are taken with each constitute 6 items. The average of the sample averages is found to be 23.8, and the average of the sample ranges is found to be 0.4.
a) For 3σ limits, find the values for central line and control limits for x_bar and R chart.
b) What is the probability that the sample mean falls out of control limits even though the process under control?
c) What is the probability that four of the six consecutive points falls at the upper side of central line when the process under control?
d) Find the average run length (ARL0) for this process.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
