Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
13th Edition
ISBN: 9781337094160
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 7.6, Problem 39E

In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008.

  1. a. Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of p ¯ .
  2. b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
  3. c. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p ¯ .
  4. d. Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
  5. e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (b)?
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Chapter 7 Solutions

Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)

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 - Morningstar publishes ratings data on 1208 company...Ch. 7.3 - The National Football League (NFL) polls fans to...Ch. 7.3 - A sample of 426 U.S. adults age 50 and older were...Ch. 7.3 - One of the questions in the Pew Internet American...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 - For the year 2010, 33% of taxpayers with adjusted...Ch. 7.5 - The Economic Policy Institute periodically issues...Ch. 7.5 - The state of California has a mean annual rainfall...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 - Jack Lawler, a financial analyst, wants to prepare...Ch. 7 - The latest available data showed health...Ch. 7 - Foot Locker uses sales per square foot as a...Ch. 7 - Allegiant Airlines charges a mean base fare of 89....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 - Fifteen percent of Australians smoke. By...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...Ch. 7 - Managerial Report Prepare a managerial report that...
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