Introductory Statistics (10th Edition)
Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 7.1, Problem 22E

Exercises 7.11–7.23 are intended solely to provide concrete illustrations of the sampling distribution of the sample mean. For that reason, the populations considered are unrealistically small. In each exercise, assume that sampling is without replacement.

7.22 America’s Richest. Repeat parts (b)–(e) of Exercise 7.17 for samples of size 6. What is the relationship between the only possible sample here and the population?

7.17 America’s Richest. Each year, Forbes magazine publishes a list of the richest people in the United States. As of September 16, 2013, the six richest Americans and their wealth (to the nearest billion dollars) are as shown in the following table. Consider these six people a population of interest.

Person Wealth ($ billions)
Bill Gates (G) 72
Warren Buffett (B) 59
Larry Ellison (E) 41
Charles Koch (C) 36
David Koch (D) 36
Christy Walton (W) 35
  1. a. Calculate the mean wealth, μ, of the six people.
  2. b. For samples of size 2, construct a table similar to Table 7.2 on page 310. (There are 15 possible samples of size 2.)
  3. c. Draw a dotplot for the sampling distribution of the sample mean for samples of size 2.
  4. d. For a random sample of size 2, what is the chance that the sample mean will equal the population mean?

For a random sample of size 2, determine the probability that the mean wealth of the two people obtained will be within 3 (i.e., $3 billion) of the population mean. Interpret your result in terms of percentages.

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Chapter 7 Solutions

Introductory Statistics (10th Edition)

Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Prob. 21ECh. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Suppose that a random sample of size 1 is to be...Ch. 7.2 - Although, in general, you cannot know the sampling...Ch. 7.2 - Why is obtaining the mean and standard deviation...Ch. 7.2 - Does the sample size have an effect on the mean of...Ch. 7.2 - Does the sample size have an effect on the...Ch. 7.2 - Explain why increasing the sample size tends to...Ch. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Exercises 7.337.40 require that you have done...Ch. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Exercises 7.417.45 require that you have done...Ch. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Exercises 7.417.45 require that you have done...Ch. 7.2 - Exercises 7.417.45 require that you have done...Ch. 7.2 - Young Adults at Risk. Research by R. Pyhala et al....Ch. 7.2 - Baby Weight. The paper Are Babies Normal? by T....Ch. 7.2 - Menopause in Mexico. In the article Age at...Ch. 7.2 - Mobile Homes. According to the U.S. Census Bureau...Ch. 7.2 - Undergraduate Binge Drinking. Alcohol consumption...Ch. 7.2 - Earthquakes. According to The Earth: Structure,...Ch. 7.2 - Bachelors Completion. As reported by the U.S....Ch. 7.2 - SAT Scores. Each year, thousands of high school...Ch. 7.2 - Unbiased and Biased Estimators. A statistic is...Ch. 7.2 - For Exercises 7.557.57, refer to Equations (7.1)...Ch. 7.2 - For Exercises 7.557.57, refer to Equations (7.1)...Ch. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Gestation Periods of Humans. For humans, gestation...Ch. 7.2 - Prob. 60ECh. 7.3 - A variable of a population has a mean of = 100...Ch. 7.3 - A variable of a population has a mean of = 35 and...Ch. 7.3 - A variable of a population is normally distributed...Ch. 7.3 - A variable of a population has mean and standard...Ch. 7.3 - Refer to Fig. 7.6 on page 323. a. Why are the four...Ch. 7.3 - According to the central limit theorem, for a...Ch. 7.3 - Brain Weights. In 1905, R. Pearl published the...Ch. 7.3 - New York City 10-km Run. As reported by Runners...Ch. 7.3 - Teacher Salaries. Data on salaries in the public...Ch. 7.3 - Loan Amounts. B. Ciochetti et al. studied mortgage...Ch. 7.3 - Nurses and Hospital Stays. In the article A...Ch. 7.3 - Women at Work. In the article Job Mobility and...Ch. 7.3 - Ethanol Railroad Tariffs. An ethanol railroad...Ch. 7.3 - Taller Young Women. In the document Anthropometric...Ch. 7.3 - Poverty and Dietary Calcium. Calcium is the most...Ch. 7.3 - Early-Onset Dementia. Dementia is the loss of the...Ch. 7.3 - Worker Fatigue. A study by M. Chen et al. titled...Ch. 7.3 - Prob. 78ECh. 7.3 - Use the empirical rule for variables to answer the...Ch. 7.3 - Testing for Content Accuracy. A brand of...Ch. 7.3 - Gestation Periods of Humans. For humans, gestation...Ch. 7.3 - Emergency Room Traffic. A variable is said to have...Ch. 7 - Define sampling error.Ch. 7 - Prob. 2RPCh. 7 - Prob. 3RPCh. 7 - Prob. 4RPCh. 7 - Officer Salaries. The following table gives the...Ch. 7 - Officer Salaries. Refer to Problem 5. a. Use the...Ch. 7 - The following graph shows the curve for a normally...Ch. 7 - Income Tax and the IRS. In 2010, the Internal...Ch. 7 - New Car Passion. Edmunds.com publishes information...Ch. 7 - Prob. 10RPCh. 7 - Prob. 11RPCh. 7 - Prob. 12RPCh. 7 - Western Pygmy-Possum. Refer to Problem 12. a. Find...Ch. 7 - Prob. 14RPCh. 7 - Life Insurance in Force. The American Council of...Ch. 7 - Prob. 16RPCh. 7 - Prob. 17RPCh. 7 - Athletic Coping Skills Inventory. The Athletic...Ch. 7 - Random Numbers. A variable is said to be uniformly...Ch. 7 - Prob. 1FDACh. 7 - At the beginning of this chapter, we discussed a...
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