Statistics for Business & Economics (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

13th Edition

ISBN: 9781305585317

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: Cengage Learning

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Textbook Question

Chapter 6.3, Problem 27E

Assume a binomial probability distribution has p = .60 and n = 200.

a. What are the mean and standard deviation?
b. Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain.
c. What is the probability of 100 to 110 successes?
d. What is the probability of 130 or more successes?
e. What is the advantage of using the normal probability distribution to approximate the binomial probabilities? Use part (d) to explain the advantage.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 6.3, Problem 26E

Chapter 6.3, Problem 28E

Chapter 6 Solutions

Statistics for Business & Economics (with XLSTAT Education Edition Printed Access Card) (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. 4E Ch. 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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Solution Summary: The author explains that the binomial distribution can be approximated to normal distribution or not.

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