Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Textbook Question
Chapter 6.2, Problem 25E
According to the Sleep Foundation, the average night’s sleep is 6.8 hours (Fortune, March 20, 2006). Assume the standard deviation is .6 hours and that the
- a. What is the probability that a randomly selected person sleeps more than 8 hours?
- b. What is the probability that a randomly selected person sleeps 6 hours or less?
- c. Doctors suggest getting between 7 and 9 hours of sleep each night. What percentage of the population gets this much sleep?
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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 for Business & Economics, Revised (MindTap Course List)
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 - The driving distance for the top 100 golfers on...Ch. 6.1 - On average. 30-minute television sitcoms have 22...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 - For borrowers with good credit scores, the mean...Ch. 6.2 - The average return for large-cap domestic stock...Ch. 6.2 - In an article about the cost of health care, Money...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 - Trading volume on the New York Stock Exchange is...Ch. 6.2 - According to the Sleep Foundation, the average...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 - An Internal Revenue Oversight Board survey found...Ch. 6.3 - Playing video and computer games is very popular....Ch. 6.3 - A Bureau of National Affairs survey found that 79%...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 - Collinas Italian Caf in Houston, Texas, advertises...Ch. 6.4 - Do interruptions while you are working reduce your...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 - Cond Nast Traveler publishes a Gold List of the...Ch. 6 - Ward Doering Auto Sales is considering offering a...Ch. 6 - Is lack of sleep causing traffic fatalities? A...Ch. 6 - Assume that the test scores from a college...Ch. 6 - According to Salary Wizard, the average base...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 - The American Community Survey showed that...Ch. 6 - The time (in minutes) between telephone calls at...Ch. 6 - Specialty Toys Specialty Toys, Inc., sells a...
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