Introduction to Statistical Quality Control
7th Edition
ISBN: 9781118146811
Author: Montgomery, Douglas C.
Publisher: John Wiley & Sons Inc
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Textbook Question
Chapter 2, Problem 4DQE
Describe a service system that you use. What are the CTQs that are important to you? How do you think that DMAIC could be applied to this process?
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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 2 Solutions
Introduction to Statistical Quality Control
Ch. 2 - Discuss the similarities between the Shewhart...Ch. 2 - What role does risk play in project selection and...Ch. 2 - Suppose that a project will generate A per year....Ch. 2 - Describe a service system that you use. What are...Ch. 2 - One of the objectives of the control plan in DMAIC...Ch. 2 - Is there a point at which seeking further...Ch. 2 - Explain the importance of tailgates in the DMAIC...Ch. 2 - An important part of a project is to identify the...Ch. 2 - Why are designed experiments most useful in the...Ch. 2 - Suppose that your business is operating at the...
Ch. 2 - Suppose that your business is operating at the...Ch. 2 - Explain why it is important to separate sources of...Ch. 2 - Consider improving service quality in a...Ch. 2 - Suppose that during the analyze phase an obvious...Ch. 2 - If has been estimated that sate aircraft carrier...Ch. 2 - Discuss why, in general, determining what to...Ch. 2 - Suppose that you want to improve the process of...
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