EBK STATISTICS FOR BUSINESS & ECONOMICS
12th Edition
ISBN: 8220100460463
Author: Anderson
Publisher: CENGAGE L
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Chapter 10.4, Problem 31E
The Professional Golf Association (PGA) measured the putting accuracy of professional golfers playing on the PGA Tour and the best amateur golfers playing in the World Amateur Championship (Golf Magazine, January 2007). A sample of 1075 6-foot putts by professional golfers found 688 made puts. A sample of 1200 6-foot putts by amateur golfers found 696 made putts.
- a. Estimate the proportion of made 6-foot putts by professional golfers. Estimate the proportion of made 6-foot putts by amateur golfers. Which group had a better putting accuracy?
- b. What is the point estimate of the difference between the proportions of the two populations? What does this estimate tell you about the percentage of putts made by the two groups of golfers?
- c. What is the 95% confidence interval for the difference between the two population proportions? Interpret his confidence interval in terms of the percentage of putts made by the two groups of golfers.
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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 10 Solutions
EBK STATISTICS FOR BUSINESS & ECONOMICS
Ch. 10.1 - The following results come from two independent...Ch. 10.1 - Consider the following hypothesis test....Ch. 10.1 - Consider the following hypothesis test....Ch. 10.1 - Cond Nast Traveler conducts an annual survey in...Ch. 10.1 - The USA Today reports that the average expenditure...Ch. 10.1 - Suppose that you are responsible for making...Ch. 10.1 - Consumer Reports uses a survey of readers to...Ch. 10.1 - Will improving customer service result in higher...Ch. 10.2 - The following results are for independent random...Ch. 10.2 - Consider the following hypothesis test....
Ch. 10.2 - Consider the following data for two independent...Ch. 10.2 - The U.S. Department of Transportation provides the...Ch. 10.2 - The average annual cost (including tuition, room,...Ch. 10.2 - Are nursing salaries in Tampa, Florida, lower than...Ch. 10.2 - Commercial real estate prices and rental rates...Ch. 10.2 - The College Board provided comparisons of...Ch. 10.2 - Periodically, Merrill Lynch customers are asked to...Ch. 10.2 - Researchers at Purdue University and Wichita State...Ch. 10.3 - Consider the following hypothesis test. H0:d0Ha:d0...Ch. 10.3 - The following data are from matched samples taken...Ch. 10.3 - A market research firm used a sample of...Ch. 10.3 - The price per share of stock for a sample of 25...Ch. 10.3 - Bank of Americas Consumer Spending Survey...Ch. 10.3 - The Global Business Travel Association reported...Ch. 10.3 - The College Board SAT college entrance exam...Ch. 10.3 - Scores in the first and fourth (final) rounds for...Ch. 10.3 - A manufacturer produces both a deluxe and a...Ch. 10.4 - Consider the following results for independent...Ch. 10.4 - Consider the hypothesis test H0:p1p20Ha:p1p20 The...Ch. 10.4 - A Businessweek/Harris survey asked senior...Ch. 10.4 - The Professional Golf Association (PGA) measured...Ch. 10.4 - An American Automobile Association (AAA) study...Ch. 10.4 - Chicago OHare and Atlanta Hartsfield-Jackson are...Ch. 10.4 - Businessweek reported that there seems to be a...Ch. 10.4 - In a test of the quality of two television...Ch. 10.4 - Winter visitors are extremely important to the...Ch. 10.4 - The Adecco Workplace Insights Survey sampled men...Ch. 10 - Safegate Foods, Inc., is redesigning the checkout...Ch. 10 - Home values tend to increase over time under...Ch. 10 - Mutual funds are classified as load or no-load...Ch. 10 - The National Association of Home Builders provided...Ch. 10 - Prob. 42SECh. 10 - Country Financial, a financial services company,...Ch. 10 - A large automobile insurance company selected...Ch. 10 - Medical tests were conducted to learn about...Ch. 10 - Vacation occupancy rates were expected to be up...Ch. 10 - Prob. 47SECh. 10 - One of the researchers voiced concern about the...
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