Elementary Statistics: Picturing the World, 7th Edition.
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, INSTRUCTOR’S
SOLUTIONS MANUAL
DIACRITECH
E LEMENTARY S TATISTICS :
P ICTURING THE W ORLD
SEVENTH EDITION
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Ron Larson
Pennsylvania State University
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The Behrend College
Betsy Farber
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Bucks County Community College
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, CHAPTER
Introduction to Statistics
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1.1 AN OVERVIEW OF STATISTICS
1.1 TRY IT YOURSELF SOLUTIONS
1. The population consists of the responses of all ninth to twelfth graders in the United States. The
sample consists of the responses of the 1501 ninth to twelfth graders in the survey. The sample data
set consists of 1215 ninth to twelfth graders who said leaders today are more concerned with their
own agenda than with achieving the overall goals of the organization they serve and 286 ninth to
twelfth graders who did not say that.
2a. Population parameter, because the total spent on employees’ salaries, $5,150,694, is based on the
entire company.
b. Sample statistic, because 43% is based on a subset of the population.
3a. The population consists of the responses of all U.S. adults, and the sample consists of the responses of
the 1000 U.S. adults in the study.
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b. The part of this study that represents the descriptive branch of statistics involves the statement “three
out of four adults will consult with their physician or pharmacist and only 8% visit a medication-
specific website [when they have a question about their medication].”
c. A possible inference drawn from the study is that most adults consult with their physician or
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pharmacist when they have a question about their medication.
1.1 EXERCISE SOLUTIONS
1. A sample is a subset of a population.
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2. It is usually impractical (too expensive and/or time consuming) to obtain all the population data.
3. A parameter is a numerical description of a population characteristic. A statistic is a numerical
description of a sample characteristic.
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4. The two main branches of statistics are descriptive statistics and inferential statistics.
5. False. A statistic is a numerical measure that describes a sample characteristic.
6. True
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7. True
8. False. Inferential statistics involves using a sample to draw conclusions about a population.
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9. False. A population is the collection of all outcomes, responses, measurements, or counts that are of
interest.
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, 2 CHAPTER 1 │ INTRODUCTION TO STATISTICS
10. False. A sample statistic can differ from sample to sample.
11. Population, because it is a collection of the salaries of each member of a Major League Baseball team.
12. Population, because it is a collection of the energy collected from all the solar panels on a photo
voltaic power plant.
13. Sample, because the collection of the 300 people is a subset of the population of 13,000 people in the
auditorium.
14. Population, because it is a collection of the revenue of all the stores at the shopping mall.
15. Sample, because the collection of the 10 patients is a subset of the population of 50 patients at the clinic.
16. Population, because it is a collection of the number of wireless devices in all U.S. households.
17. Population, because it is a collection of all the gamers’ scores in the tournament.
18. Sample, because only the age of every fourth person entering the grocery store is recorded.
19. Population, because it is a collection of all the U.S. senators’ political parties.
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20. Sample, because the collection of the 20 air contamination levels is a subset of the population.
21. Population: Parties of registered voters
Sample: Parties of registered voters who respond to a survey
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22. Population: Student donations at a food drive
Sample: Student donations of canned goods
23. Population: Ages of adults in the United States who own automobiles
Sample: Ages of adults in the United States who own Honda automobiles
24. Population: Incomes of home owners in Massachusetts
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Sample: Incomes of home owners in Massachusetts with mortgages
25. Population: Collections of the responses of all U.S. adults
Sample: Collection of the responses of the 1020 U.S. adults surveyed
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Sample data set: 42% of adults who said they trust their political leaders and 58% who said they did not
26. Population: Collection of fetal tobacco exposure of all infants
Sample: Collection of the fetal tobacco exposure of 203 infants
Sample data set: Infants with fetal tobacco exposure and their focused attention levels
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27. Population: Collection of the influenza immunization status of all adults in the United States
Sample: Collection of the influenza immunization status of the 3301 U.S. adults surveyed
Sample data set: 39% of U.S. adults who received an influenza vaccine and 61% who did not
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