APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Textbook Question
Chapter 1.3, Problem 4SE
“Many college graduates will not use very much statistics during their 40-year careers, so why study it?” (a) List several arguments for and against this statement. Which position do you find more convincing? (b) Replace the word “statistics” with “accounting” or “foreign language” and repeat this exercise.
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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
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 1.3 - Give an example of how statistics might be useful...Ch. 1.3 - Give an example of how statistics might be useful...Ch. 1.3 - (a) Should the average business school graduate...Ch. 1.3 - Many college graduates will not use very much...Ch. 1.5 - Recently, the same five winning numbers (4, 21,...Ch. 1.5 - A National Health Interview Survey conducted by...Ch. 1.5 - A study found that radar detector users have lower...Ch. 1.5 - A lottery winner told how he picked his six-digit...Ch. 1.5 - Smokers are much more likely to speed, run red...Ch. 1.5 - An ad for a cell phone service claims that its...
Ch. 1.5 - What logical or ethical problems do you see in...Ch. 1.5 - A recent study of 231,164 New Jersey heart attack...Ch. 1.5 - When Pennsylvania repealed a law that required...Ch. 1 - Define (a) statistic; (b) statistics.Ch. 1 - List three reasons to study statistics.Ch. 1 - List three applications of statistics.Ch. 1 - List four skills needed by statisticians. Why are...Ch. 1 - List three practical challenges faced by...Ch. 1 - List three ethical challenges faced by...Ch. 1 - List five pitfalls or logical errors that may...Ch. 1 - A survey of beginning students showed that a...Ch. 1 - Under a recent U.S. Food and Drug Administration...Ch. 1 - A statistical consultant was retained by a linen...Ch. 1 - Ergonomics is the science of making sure that...Ch. 1 - Analysis of 1,064 deaths of famous popular...Ch. 1 - A recent study showed that women who lived near a...Ch. 1 - Lacrosse helmets are not needed, said Tom. None of...Ch. 1 - A European study of thousands of men found that...Ch. 1 - A research study showed that 7 percent of A...Ch. 1 - A research study showed that adolescents who...Ch. 1 - The Graduate Management Admission Test (GMAT) is...Ch. 1 - (a) Which of these two displays (table or graph)...Ch. 1 - (a) Which of these two displays (table or graph)...
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