STATISTICS F/BUSINESS+ECONOMICS-TEXT
13th Edition
ISBN: 9781305881884
Author: Anderson
Publisher: CENGAGE L
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Textbook Question
Chapter 6, Problem 40SE
The NCAA estimates that the yearly value of a full athletic scholarship at in-state public universities is $19,000 (The Wall Street Journal, March 12, 2012). Assume the scholarship value is
- a. For the 10% of athletic scholarships of least value, how much are they worth?
- b. what percentage of athletic scholarships are valued at $22,000 or more?
- c. For the 3% of athletic scholarships that are most valuable, how much are they worth?
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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 6 Solutions
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - Delta Airlines quotes a flight time of 2 hours, 5...Ch. 6.1 - Prob. 4ECh. 6.1 - In October 2012, Apple introduced a much smaller...Ch. 6.1 - A Gallup Daily Tracking Survey found that the mean...Ch. 6.1 - Suppose we are interested in bidding on a piece of...Ch. 6.2 - Using Figure 6.4 as a guide, sketch a normal curve...Ch. 6.2 - A random variable is normally distributed with a...Ch. 6.2 - Draw a graph for the standard normal distribution....
Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - The mean cost of domestic airfares in the United...Ch. 6.2 - The average return for large-cap domestic stock...Ch. 6.2 - Automobile repair costs continue to rise with the...Ch. 6.2 - The average price for a gallon of gasoline in the...Ch. 6.2 - A person must score in the upper 2% of the...Ch. 6.2 - Television viewing reached a new high when the...Ch. 6.2 - The time needed to complete a final examination in...Ch. 6.2 - The American Automobile Association (AAA) reported...Ch. 6.2 - New York City is the most expensive city in the...Ch. 6.3 - A binomial probability distribution has p = .20...Ch. 6.3 - Assume a binomial probability distribution has p =...Ch. 6.3 - Although studies continue to show smoking leads to...Ch. 6.3 - A CBS News/New York Times survey found that 97% of...Ch. 6.3 - Playing video and computer games is very popular....Ch. 6.3 - The Bank of America trends in Consumer Mobility...Ch. 6.4 - Consider the following exponential probability...Ch. 6.4 - Consider the following exponential probability...Ch. 6.4 - Battery life between charges for the Motorola...Ch. 6.4 - The time between arrivals of vehicles at a...Ch. 6.4 - Comcast Corporation is the largest cable...Ch. 6.4 - Wendys restaurant has been recognized for having...Ch. 6.4 - The Boston Fire Department receives 911 calls at a...Ch. 6 - A business executive, transferred from Chicago to...Ch. 6 - The NCAA estimates that the yearly value of a full...Ch. 6 - Motorola used the normal distribution to determine...Ch. 6 - During early 2012, economic hardship was...Ch. 6 - The port of South Louisiana, located along 54...Ch. 6 - Ward Doering Auto Sales is considering offering a...Ch. 6 - The XO Group Inc. conducted a survey of 13,000...Ch. 6 - Assume that the test scores from a college...Ch. 6 - According to the National Association of Colleges...Ch. 6 - A machine fills containers with a particular...Ch. 6 - Consider a multiple-choice examination with 50...Ch. 6 - A blackjack player at a Las Vegas casino learned...Ch. 6 - The Information Systems Audit and Control...Ch. 6 - The website for the Bed and Breakfast Inns of...Ch. 6 - Do you dislike waiting in line? Supermarket chain...Ch. 6 - The time (in minutes) between telephone calls at...
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