EBK STATISTICS FOR BUSINESS & ECONOMICS
12th Edition
ISBN: 9780100460461
Author: Anderson
Publisher: YUZU
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Textbook Question
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Chapter 7.3, Problem 17E
The American Association of Individual Investors (AAII) polls its subscribers on a weekly basis to determine the number who are bullish, bearish, or neutral on the short-term prospects for the stock market. Their findings for the week ending March 2, 2006, are consistent with the following sample results (AAII website, March 7, 2006).
Bullish 409 Neutral 299 Bearish 291
Develop a point estimate of the following population parameters.
- a. The proportion of all AAII subscribers who are bullish on the stock market.
- b. The proportion of all AAII subscribers who are neutral on the stock market.
- c. The proportion of all AAII subscribers who are bearish on the stock market.
- d. What is the sampled population? What is the target population for parts (a), (b), and (c)? Would you be comfortable extending these results to the target population of all investors?
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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
EBK STATISTICS FOR BUSINESS & ECONOMICS
Ch. 7.2 - Consider a finite population with five elements...Ch. 7.2 - Assume a finite population has 350 elements. Using...Ch. 7.2 - Fortune publishes data on sales, profits, assets,...Ch. 7.2 - The 10 most active stocks on the New York Stock...Ch. 7.2 - A student government organization is interested in...Ch. 7.2 - The County and City Data Book, published by the...Ch. 7.2 - Assume that we want to identify a simple random...Ch. 7.2 - The following stocks make up the Dow Jones...Ch. 7.2 - The Wall Street Journal provides the net asset...Ch. 7.2 - Indicate which of the following situations involve...
Ch. 7.3 - The following data are from a simple random...Ch. 7.3 - A survey question for a sample of 150 individuals...Ch. 7.3 - A sample of 5 months of sales data provided the...Ch. 7.3 - BusinessWeek published information on 283 equity...Ch. 7.3 - Many drugs used to treat cancer are expensive....Ch. 7.3 - A sample of 426 U.S. adults age 50 and older were...Ch. 7.3 - The American Association of Individual Investors...Ch. 7.5 - A population has a mean of 200 and a standard...Ch. 7.5 - A population has a mean of 200 and a standard...Ch. 7.5 - Assume the population standard deviation is = 25....Ch. 7.5 - Suppose a random sample of size 50 is selected...Ch. 7.5 - Refer to the EAI sampling problem. Suppose a...Ch. 7.5 - In the EAI sampling problem (see Figure 7.5), we...Ch. 7.5 - Barrons reported that the average number of weeks...Ch. 7.5 - The College Board reported the following mean...Ch. 7.5 - The mean annual cost of automobile insurance is...Ch. 7.5 - The Economic Policy Institute periodically issues...Ch. 7.5 - The average score for male golfers is 95 and the...Ch. 7.5 - The mean preparation fee HR Block charged retail...Ch. 7.5 - To estimate the mean age for a population of 4000...Ch. 7.6 - A sample of size 100 is selected from a population...Ch. 7.6 - A population proportion is .40. A sample of size...Ch. 7.6 - Assume that the population proportion is .55....Ch. 7.6 - The population proportion is .30. What is the...Ch. 7.6 - The president of Doerman Distributors, Inc.,...Ch. 7.6 - The Wall Street Journal reported that the age at...Ch. 7.6 - People end up tossing 12% of what they buy at the...Ch. 7.6 - Forty-two percent of primary care doctors think...Ch. 7.6 - In 2008 the Better Business Bureau settled 75% of...Ch. 7.6 - The Grocery Manufacturers of America reported that...Ch. 7.6 - The Food Marketing Institute shows that 17% of...Ch. 7 - U.S. News World Report publishes comprehensive...Ch. 7 - The latest available data showed health...Ch. 7 - Foot Locker uses sales per square foot as a...Ch. 7 - The mean television viewing time for Americans is...Ch. 7 - After deducting grants based on need, the average...Ch. 7 - Three firms carry inventories that differ in size....Ch. 7 - A researcher reports survey results by stating...Ch. 7 - A production process is checked periodically by a...Ch. 7 - About 28% of private companies are owned by women...Ch. 7 - A market research firm conducts telephone surveys...Ch. 7 - Advertisers contract with Internet service...Ch. 7 - The proportion of individuals insured by the...Ch. 7 - Lori Jeffrey is a successful sales representative...
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