Solution Manual
Elementary Statistics: Picturing the World,
8th Edition.
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, Pearson’s Commitment
to Diversity, Equity,
and Inclusion
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We embrace the many dimensions of diversity, including but not limited to race, ethnicity, gender,
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sex, sexual orientation, socioeconomic status, ability, age, and religious or political beliefs.
Education is a powerful force for equity and change in our world. It has the potential to deliver
opportunities that improve lives and enable economic mobility. As we work with authors to create
content for every product and service, we acknowledge our responsibility to demonstrate inclusivity
and incorporate diverse scholarship so that everyone can achieve their potential through learning.
As the world’s leading learning company, we have a duty to help drive change and live up to our
st
purpose to help more people create a better life for themselves and to create a better world.
Our ambition is to purposefully contribute to a world where:
• Everyone has an equitable and lifelong opportunity • Our educational products and services are inclusive
to succeed through learning. and represent the rich diversity of learners.
ȏ2XUHGXFDWLRQDOFRQWHQWDFFXUDWHO\UHȵHFWVWKH • Our educational content prompts deeper discussions
histories and lived experiences of the learners with students and motivates them to expand their
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we serve. own learning (and worldview).
Accessibility Contact Us
We are also committed to providing products that While we work hard to present unbiased, fully accessible
are fully accessible to all learners. As per Pearson’s content, we want to hear from you about any concerns
guidelines for accessible educational Web media, or needs with this Pearson product so that we can
ia
we test and retest the capabilities of our products investigate and address them.
against the highest standards for every release,
Please contact us with concerns about any
following the WCAG guidelines in developing new
potential bias at
products for copyright year 2022 and beyond.
https://www.pearson.com/report-bias.html
You can learn more about Pearson’s
For accessibility-related issues, such as using
commitment to accessibility at
assistive technology with Pearson products,
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alternative text requests, or accessibility
documentation, email the Pearson Disability Support
team at
@Aplusstuvia
, CHAPTER
Introduction to Statistics
1
1.1 AN OVERVIEW OF STATISTICS
1.1 TRY IT YOURSELF SOLUTIONS
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1. The population consists of the responses of all teens in the United States. The sample consists of the
responses of the 1516 teens in the survey. The sample data set consists of 1228 teens who said mental
health is a significant issue for young people in the U.S. and 288 teens who did not say that.
2a. Population parameter, because the total spent on employees’ salaries, $5,150,694, is based on the
entire company.
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b. Sample statistic, because 47% is based on a subset of the population.
3a. The population consists of the responses of all Internet users, and the sample consists of the responses
of the 513 Internet users in the study.
b. The part of this study that represents the descriptive branch of statistics involves the statement “97%
us
of the respondents said music is important to them, and 83% of the respondents said they actively
look for new music.”
c. A possible inference drawn from the study is that a large majority of Internet users find music to be
important to them and actively look for new music.
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1.1 EXERCISE SOLUTIONS
1. A sample is a subset of a population.
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
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description of a sample characteristic.
4. The two main branches of statistics are descriptive statistics and inferential statistics.
5. False. A statistic is a numerical description of 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.
9. False. A population is the collection of all outcomes, responses, measurements, or counts that are of
interest.
10. False. A sample statistic can differ from sample to sample.
1
Copyright © 2023 Pearson Education, Inc.
@Aplusstuvia
, 2 CHAPTER 1 Ň INTRODUCTION TO STATISTICS
11. Population, because it is a collection of the salaries of each employee at an advertising firm.
12. Population, because it is a collection of the energy collected from all the solar panels on a
photovoltaic power plant.
13. Sample, because the collection of the 250 people is a subset of the population of 20,000 members of
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an organized union.
14. Population, because it is a collection of the revenue of each team in a pro sports league.
15. Sample, because the collection of the 12 people is a subset of the 49 people who escaped a burning
building.
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16. Population, because it is a collection of the number of Electoral College votes in each states in the
U.S. and the District of Columbia.
17. Population, because it is the collection of all the guests in each room of a hotel.
18. Sample, because only the amount spent by every tenth person cashing out is recorded.
us
19. Population, because it is a collection of the nationalities of every person passing through a customs
station.
20. Sample, because the collection of the 15 precipitation amounts 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: Meal plan choices of college students
Sample: Meal plan choices of freshmen
23. Population: Ages of adults in the United States who own motor vehicles
Sample: Ages of adults in the United States who own two-wheeled motor vehicles
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24. Population: Incomes of adults in Nevada
Sample: Incomes of adults in Nevada who own homes
25. Population: Collections of the responses of all U.S. adults
Sample: Collection of the responses of the 1021 U.S. adults surveyed
Sample data set: 45% of adults who have a favorable view of Cuba and 55% who do not
ia
26. Population: Collection of the gut microbiomes of all infants
Sample: Collection of the gut microbiomes of 227 U.S. infants
Sample data set: The gut microbiomes of infants and their health
27. Population: Collection of the U.S. adults who have received vaccines
Sample: Collection of responses of 1500 U.S. adults who have received vaccines
Sample data set: 59% of U.S. adults who have never had a vaccine reaction and 41% who have
Copyright © 2023 Pearson Education, Inc.
@Aplusstuvia
Elementary Statistics: Picturing the World,
8th Edition.
@A
pl
us
st
uv
ia
@Aplusstuvia
, Pearson’s Commitment
to Diversity, Equity,
and Inclusion
@A
pl
3HDUVRQLVGHGLFDWHGWRFUHDWLQJELDVIUHHFRQWHQWWKDWUHȵHFWVWKHGLYHUVLW\
GHSWKDQGEUHDGWKRIDOOOHDUQHUVȇOLYHGH[SHULHQFHV
We embrace the many dimensions of diversity, including but not limited to race, ethnicity, gender,
us
sex, sexual orientation, socioeconomic status, ability, age, and religious or political beliefs.
Education is a powerful force for equity and change in our world. It has the potential to deliver
opportunities that improve lives and enable economic mobility. As we work with authors to create
content for every product and service, we acknowledge our responsibility to demonstrate inclusivity
and incorporate diverse scholarship so that everyone can achieve their potential through learning.
As the world’s leading learning company, we have a duty to help drive change and live up to our
st
purpose to help more people create a better life for themselves and to create a better world.
Our ambition is to purposefully contribute to a world where:
• Everyone has an equitable and lifelong opportunity • Our educational products and services are inclusive
to succeed through learning. and represent the rich diversity of learners.
ȏ2XUHGXFDWLRQDOFRQWHQWDFFXUDWHO\UHȵHFWVWKH • Our educational content prompts deeper discussions
histories and lived experiences of the learners with students and motivates them to expand their
uv
we serve. own learning (and worldview).
Accessibility Contact Us
We are also committed to providing products that While we work hard to present unbiased, fully accessible
are fully accessible to all learners. As per Pearson’s content, we want to hear from you about any concerns
guidelines for accessible educational Web media, or needs with this Pearson product so that we can
ia
we test and retest the capabilities of our products investigate and address them.
against the highest standards for every release,
Please contact us with concerns about any
following the WCAG guidelines in developing new
potential bias at
products for copyright year 2022 and beyond.
https://www.pearson.com/report-bias.html
You can learn more about Pearson’s
For accessibility-related issues, such as using
commitment to accessibility at
assistive technology with Pearson products,
https://www.pearson.com/us/accessibility.html
alternative text requests, or accessibility
documentation, email the Pearson Disability Support
team at
@Aplusstuvia
, CHAPTER
Introduction to Statistics
1
1.1 AN OVERVIEW OF STATISTICS
1.1 TRY IT YOURSELF SOLUTIONS
@A
1. The population consists of the responses of all teens in the United States. The sample consists of the
responses of the 1516 teens in the survey. The sample data set consists of 1228 teens who said mental
health is a significant issue for young people in the U.S. and 288 teens who did not say that.
2a. Population parameter, because the total spent on employees’ salaries, $5,150,694, is based on the
entire company.
pl
b. Sample statistic, because 47% is based on a subset of the population.
3a. The population consists of the responses of all Internet users, and the sample consists of the responses
of the 513 Internet users in the study.
b. The part of this study that represents the descriptive branch of statistics involves the statement “97%
us
of the respondents said music is important to them, and 83% of the respondents said they actively
look for new music.”
c. A possible inference drawn from the study is that a large majority of Internet users find music to be
important to them and actively look for new music.
st
1.1 EXERCISE SOLUTIONS
1. A sample is a subset of a population.
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
uv
description of a sample characteristic.
4. The two main branches of statistics are descriptive statistics and inferential statistics.
5. False. A statistic is a numerical description of a sample characteristic.
6. True
ia
7. True
8. False. Inferential statistics involves using a sample to draw conclusions about a population.
9. False. A population is the collection of all outcomes, responses, measurements, or counts that are of
interest.
10. False. A sample statistic can differ from sample to sample.
1
Copyright © 2023 Pearson Education, Inc.
@Aplusstuvia
, 2 CHAPTER 1 Ň INTRODUCTION TO STATISTICS
11. Population, because it is a collection of the salaries of each employee at an advertising firm.
12. Population, because it is a collection of the energy collected from all the solar panels on a
photovoltaic power plant.
13. Sample, because the collection of the 250 people is a subset of the population of 20,000 members of
@A
an organized union.
14. Population, because it is a collection of the revenue of each team in a pro sports league.
15. Sample, because the collection of the 12 people is a subset of the 49 people who escaped a burning
building.
pl
16. Population, because it is a collection of the number of Electoral College votes in each states in the
U.S. and the District of Columbia.
17. Population, because it is the collection of all the guests in each room of a hotel.
18. Sample, because only the amount spent by every tenth person cashing out is recorded.
us
19. Population, because it is a collection of the nationalities of every person passing through a customs
station.
20. Sample, because the collection of the 15 precipitation amounts is a subset of the population.
21. Population: Parties of registered voters
Sample: Parties of registered voters who respond to a survey
st
22. Population: Meal plan choices of college students
Sample: Meal plan choices of freshmen
23. Population: Ages of adults in the United States who own motor vehicles
Sample: Ages of adults in the United States who own two-wheeled motor vehicles
uv
24. Population: Incomes of adults in Nevada
Sample: Incomes of adults in Nevada who own homes
25. Population: Collections of the responses of all U.S. adults
Sample: Collection of the responses of the 1021 U.S. adults surveyed
Sample data set: 45% of adults who have a favorable view of Cuba and 55% who do not
ia
26. Population: Collection of the gut microbiomes of all infants
Sample: Collection of the gut microbiomes of 227 U.S. infants
Sample data set: The gut microbiomes of infants and their health
27. Population: Collection of the U.S. adults who have received vaccines
Sample: Collection of responses of 1500 U.S. adults who have received vaccines
Sample data set: 59% of U.S. adults who have never had a vaccine reaction and 41% who have
Copyright © 2023 Pearson Education, Inc.
@Aplusstuvia
