Intro Stats
4th Edition
ISBN: 9780321825278
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Chapter 23, Problem 48E
a.
To determine
Test an appropriate hypothesis for checking there is a statistically significant association between sales and profits and state the conclusion in context.
b.
To determine
Check whether the company’s sales serve as a useful predictor of its profits by using the values of both R2 and s.
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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 23 Solutions
Intro Stats
Ch. 23.4 - Researchers in Food Science studied how big...Ch. 23.4 - Prob. 2JCCh. 23.4 - Prob. 3JCCh. 23 - Prob. 1ECh. 23 - Prob. 2ECh. 23 - Prob. 3ECh. 23 - Prob. 4ECh. 23 - Prob. 5ECh. 23 - Prob. 6ECh. 23 - Prob. 7E
Ch. 23 - Prob. 8ECh. 23 - Prob. 9ECh. 23 - Prob. 10ECh. 23 - Prob. 11ECh. 23 - 12. Shoot to score, double overtime One of the...Ch. 23 - Prob. 13ECh. 23 - Prob. 14ECh. 23 - Prob. 15ECh. 23 - Prob. 16ECh. 23 - Prob. 17ECh. 23 - Prob. 18ECh. 23 - Prob. 19ECh. 23 - Prob. 20ECh. 23 - Prob. 21ECh. 23 - Prob. 22ECh. 23 - Prob. 23ECh. 23 - Prob. 24ECh. 23 - Prob. 25ECh. 23 - Prob. 26ECh. 23 - Prob. 27ECh. 23 - Prob. 28ECh. 23 - Prob. 29ECh. 23 - Prob. 30ECh. 23 - Prob. 31ECh. 23 - Prob. 32ECh. 23 - Prob. 33ECh. 23 - Prob. 34ECh. 23 - Fuel economy A consumer organization has reported...Ch. 23 - 36. SAT scores How strong was the association...Ch. 23 - Prob. 37ECh. 23 - 38. SATs, part II Consider the high school SAT...Ch. 23 - 39. Fuel economy, part III Consider again the data...Ch. 23 - 40. SATs, again Consider the high school SAT...Ch. 23 - Cereals A healthy cereal should be low in both...Ch. 23 - Brain size Does your IQ depend on the size of your...Ch. 23 - Prob. 43ECh. 23 - Prob. 44ECh. 23 - Prob. 45ECh. 23 - Prob. 46ECh. 23 - Ozone and population The Environmental Protection...Ch. 23 - Prob. 48ECh. 23 - Prob. 49ECh. 23 - 50. More sales and profits Consider again the...Ch. 23 - Prob. 51ECh. 23 - Crawling Researchers at the University of Denver...Ch. 23 - 53. Body fat Do the data shown in the table below...Ch. 23 - Prob. 54ECh. 23 - Midterms The data set below shows midterm and...Ch. 23 - Prob. 56ECh. 23 - Prob. 57ECh. 23 - All the efficiency money can buy 2011 A sample of...Ch. 23 - Education and mortality The following software...Ch. 23 - Property assessments The following software output...Ch. 23 - Prob. 61ECh. 23 - Prob. 62E
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