EBK INTRODUCTION TO THE PRACTICE OF STA
8th Edition
ISBN: 9781319116828
Author: Moore
Publisher: VST
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Chapter 12, Problem 11E
(a)
Section 1:
To determine
To find: The
Section 2:
To determine
To find: The degrees of freedom for the provided value of observations.
Section 3:
To determine
To draw: The shaded portion corresponding to the P-value.
(b)
Section 1:
To determine
The
Section 2:
To determine
To find: The degrees of freedom for the provided value of observations.
Section 3:
To determine
To graph: The shaded portion corresponding to the P-value.
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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 12 Solutions
EBK INTRODUCTION TO THE PRACTICE OF STA
Ch. 12.1 - Prob. 1UYKCh. 12.1 - Prob. 2UYKCh. 12.1 - Prob. 3UYKCh. 12.1 - Prob. 5UYKCh. 12.1 - Prob. 6UYKCh. 12.1 - Prob. 4UYKCh. 12.2 - Prob. 7UYKCh. 12.2 - Prob. 8UYKCh. 12 - Prob. 9ECh. 12 - Prob. 10E
Ch. 12 - Prob. 11ECh. 12 - Prob. 12ECh. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Prob. 16ECh. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 39ECh. 12 - Prob. 19ECh. 12 - Prob. 43ECh. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - Prob. 49ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 28ECh. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - Prob. 23ECh. 12 - Prob. 24ECh. 12 - Prob. 25ECh. 12 - Prob. 26ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Prob. 33ECh. 12 - Prob. 34ECh. 12 - Prob. 37ECh. 12 - Prob. 38ECh. 12 - Prob. 27ECh. 12 - Prob. 40ECh. 12 - Prob. 45ECh. 12 - Prob. 46ECh. 12 - Prob. 47ECh. 12 - Prob. 48ECh. 12 - Prob. 50ECh. 12 - Prob. 51ECh. 12 - Prob. 52ECh. 12 - Prob. 53ECh. 12 - Prob. 54ECh. 12 - Prob. 55ECh. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - Prob. 58ECh. 12 - Prob. 59ECh. 12 - Prob. 60ECh. 12 - Prob. 63ECh. 12 - Prob. 22ECh. 12 - Prob. 67ECh. 12 - Prob. 68ECh. 12 - Prob. 69ECh. 12 - Prob. 44ECh. 12 - Prob. 61ECh. 12 - Prob. 62ECh. 12 - Prob. 64ECh. 12 - Prob. 65ECh. 12 - Prob. 66E
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