Essentials Of Statistics For Business & Economics

9th Edition

ISBN: 9780357045435

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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Contingency Table

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Binomial Distribution

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Textbook Question

Chapter 6.3, Problem 29E

Americans Who Believe Global Warming Is Occurring. According to a Yale program on climate change communication survey, 71% of Americans think global warming is happening (American Psychological Association website).

a. For a sample of 15 Americans, what is the probability that at least 12 believe global warming is occurring? Use the binomial distribution probability function discussed in Section 5.5 to answer this question.
b. For a sample of 150 Americans, what is the probability that at least 100 believe global warming is occurring? Use the normal approximation of the binomial distribution to answer this question.
c. As the number of trials in a binomial distribution application becomes large, what is the advantage of using the normal approximation of the binomial distribution to compute probabilities?
d. When the number of trials for a binomial distribution application becomes large, would developers of statistical software packages prefer to use the binomial distribution probability function shown in Section 5.5 or the normal approximation of the binomial distribution discussed in Section 6.3? Explain.

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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Chapter 6 Solutions

Essentials Of Statistics For Business & Economics

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 - Cincinnati to Tampa Flight Time. Delta Airlines...Ch. 6.1 - Excel RAND Function. Most computer languages...Ch. 6.1 - Tesla Battery Recharge Time. The electric-vehicle...Ch. 6.1 - A Gallup Daily Tracking Survey found that the mean...Ch. 6.1 - 7. Suppose we are interested in bidding on a piece...Ch. 6.2 - Using Figure 6.6 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 - 13. Given that z is a standard normal random...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 - Height of Dutch Men. Males in the Netherlands are...Ch. 6.2 - Large-Cap Domestic Stock Fund. The average return...Ch. 6.2 - Automobile Repair Costs. Automobile repair costs...Ch. 6.2 - Gasoline Prices. Suppose that the average price...Ch. 6.2 - Mensa Membership. A person must score in the upper...Ch. 6.2 - Television Viewing. Suppose that the mean daily...Ch. 6.2 - Time to Complete Final Exam. The time needed to...Ch. 6.2 - Labor Day Travel Costs. The American Automobile...Ch. 6.2 - Household Income in Maryland. According to Money...Ch. 6.3 - A binomial probability distribution has p=.20 and...Ch. 6.3 - Assume a binomial probability distribution has p =...Ch. 6.3 - Adults Who Smoke. Although studies continue to...Ch. 6.3 - Americans Who Believe Global Warming Is Occurring....Ch. 6.3 - Playing Video Games. Suppose that of those...Ch. 6.3 - Visitors to Rocky Mountain National Park. Rocky...Ch. 6.4 - Consider the following exponential probability...Ch. 6.4 - 33. Consider the following exponential probability...Ch. 6.4 - 34. Battery life between charges for the Motorola...Ch. 6.4 - 35. The time between arrivals of vehicles at a...Ch. 6.4 - 36. Comcast Corporation is the largest cable...Ch. 6.4 - 37. Wendy’s restaurant has been recognized for...Ch. 6.4 - 38. The Boston Fire Department receives 911 calls...Ch. 6 - 39. A business executive, transferred from Chicago...Ch. 6 - NCAA Scholarships. The NCAA estimates that the...Ch. 6 - Production Defects. Motorola used the normal...Ch. 6 - Bringing Items to a Pawnshop. One indicator of the...Ch. 6 - Amazon Alexa App Downloads. Alexa is the popular...Ch. 6 - Service Contract Offer. Ward Doering Auto Sales is...Ch. 6 - Wedding Costs. The XO Group Inc. conducted a 2015...Ch. 6 - College Admissions Test Scores. Assume that the...Ch. 6 - College Graduates Starting Salaries. According to...Ch. 6 - 48. A machine fills containers with a particular...Ch. 6 - Multiple-Choice Exam. Consider a multiple-choice...Ch. 6 - Playing Blackjack. A blackjack player at a Las...Ch. 6 - Mean Time Between Failures. The mean time between...Ch. 6 - The website for the Bed and Breakfast Inns of...Ch. 6 - Do you dislike waiting in line? Supermarket chain...Ch. 6 - Prob. 54SE

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