Introduction to Statistical Quality Control
7th Edition
ISBN: 9781118146811
Author: Montgomery, Douglas C.
Publisher: John Wiley & Sons Inc
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Chapter 1, Problem 5DQE
Can an understanding of the multidimensional nature of quality lead to improved product design or better service?
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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
Chapter 1 Solutions
Introduction to Statistical Quality Control
Ch. 1 - Why is it difficult to define quality?Ch. 1 - Briefly discuss the eight dimensions of quality....Ch. 1 - Is there a difference between quality for a...Ch. 1 - Can an understanding of the multidimensional...Ch. 1 - What are the internal customers of a business? Why...Ch. 1 - Is the Deming philosophy more or less focused on...Ch. 1 - What is the Juran Trilogy?Ch. 1 - What are the three primary technical tools used...Ch. 1 - Distinguish among quality planning, quality...Ch. 1 - What is the Malcolm Baldrige National Quality...
Ch. 1 - Who was Walter A. Shewhart?Ch. 1 - What is meant by the cost of quality?Ch. 1 - Are internal failure costs more or less important...Ch. 1 - What is a Six Sigma process?Ch. 1 - Discuss the statement Quality is the...Ch. 1 - Compare and contrast Demings and Jurans...Ch. 1 - What would motivate a business to compete for the...Ch. 1 - What are the three components of the ISO 9000:2005...Ch. 1 - Explain why it is necessary to consider...Ch. 1 - Reconsider the fast-food restaurant visit...Ch. 1 - What is the Toyota Production System?Ch. 1 - What were Henry Fords contributions to quality?Ch. 1 - What are the objectives of a supplier development...
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