LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access)
8th Edition
ISBN: 9781464133404
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Chapter 7.3, Problem 108E
To determine
To perform: The F-test with the summary of the results and whether the normal assumptions are reasonable.
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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 7 Solutions
LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access)
Ch. 7.1 - Prob. 1UYKCh. 7.1 - Prob. 2UYKCh. 7.1 - Prob. 3UYKCh. 7.1 - Prob. 4UYKCh. 7.1 - Prob. 5UYKCh. 7.1 - Prob. 6UYKCh. 7.1 - Prob. 7UYKCh. 7.1 - Prob. 8UYKCh. 7.1 - Prob. 9UYKCh. 7.1 - Prob. 10UYK
Ch. 7.1 - Prob. 11UYKCh. 7.1 - Prob. 12UYKCh. 7.1 - Prob. 13UYKCh. 7.1 - Prob. 14UYKCh. 7.1 - Prob. 15UYKCh. 7.1 - Prob. 16UYKCh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.2 - Prob. 56UYKCh. 7.2 - Prob. 57UYKCh. 7.2 - Prob. 59UYKCh. 7.2 - Prob. 60UYKCh. 7.2 - Prob. 61UYKCh. 7.2 - Prob. 62UYKCh. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.2 - Prob. 68ECh. 7.2 - Prob. 69ECh. 7.2 - Prob. 70ECh. 7.2 - Prob. 71ECh. 7.2 - Prob. 74ECh. 7.2 - Prob. 73ECh. 7.2 - Prob. 58UYKCh. 7.2 - Prob. 75ECh. 7.2 - Prob. 76ECh. 7.2 - Prob. 79ECh. 7.2 - Prob. 80ECh. 7.2 - Prob. 81ECh. 7.2 - Prob. 82ECh. 7.2 - Prob. 83ECh. 7.2 - Prob. 84ECh. 7.2 - Prob. 85ECh. 7.2 - Prob. 86ECh. 7.2 - Prob. 87ECh. 7.2 - Prob. 88ECh. 7.2 - Prob. 89ECh. 7.2 - Prob. 90ECh. 7.2 - Prob. 92ECh. 7.2 - Prob. 93ECh. 7.2 - Prob. 94ECh. 7.2 - Prob. 95ECh. 7.2 - Prob. 96ECh. 7.2 - Prob. 98ECh. 7.2 - Prob. 78ECh. 7.2 - Prob. 72ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 91ECh. 7.2 - Prob. 97ECh. 7.3 - Prob. 99UYKCh. 7.3 - Prob. 100UYKCh. 7.3 - Prob. 101UYKCh. 7.3 - Prob. 102ECh. 7.3 - Prob. 103ECh. 7.3 - Prob. 104ECh. 7.3 - Prob. 105ECh. 7.3 - Prob. 106ECh. 7.3 - Prob. 107ECh. 7.3 - Prob. 108ECh. 7.3 - Prob. 109ECh. 7.3 - Prob. 110ECh. 7.3 - Prob. 111ECh. 7.3 - Prob. 112ECh. 7 - Prob. 113ECh. 7 - Prob. 114ECh. 7 - Prob. 115ECh. 7 - Prob. 117ECh. 7 - Prob. 119ECh. 7 - Prob. 120ECh. 7 - Prob. 121ECh. 7 - Prob. 122ECh. 7 - Prob. 123ECh. 7 - Prob. 124ECh. 7 - Prob. 125ECh. 7 - Prob. 126ECh. 7 - Prob. 127ECh. 7 - Prob. 130ECh. 7 - Prob. 129ECh. 7 - Prob. 118ECh. 7 - Prob. 131ECh. 7 - Prob. 132ECh. 7 - Prob. 134ECh. 7 - Prob. 135ECh. 7 - Prob. 136ECh. 7 - Prob. 137ECh. 7 - Prob. 138ECh. 7 - Prob. 139ECh. 7 - Prob. 144ECh. 7 - Prob. 143ECh. 7 - Prob. 116ECh. 7 - Prob. 128ECh. 7 - Prob. 133ECh. 7 - Prob. 140ECh. 7 - Prob. 141ECh. 7 - Prob. 142E
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