SOLUTIONS for
Elementary Statistics: Picturing the
World, 8th edition
Author (s): Ron Larson
D,
HU
B_
ST
UV
IA
??
, CHAPTER
Introduction to Statistics
1
1.1 AN OVERVIEW OF STATISTICS
1.1 TRY IT YOURSELF SOLUTIONS
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.
D,
2a. Population parameter, because the total spent on employees’ salaries, $5,150,694, is based on the
entire company.
b. Sample statistic, because 47% is based on a subset of the population.
HU
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%
B_
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
UV
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
description of a sample characteristic.
IA
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
?
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.
,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
an organized union.
14. Population, because it is a collection of the revenue of each team in a pro sports league.
D,
15. Sample, because the collection of the 12 people is a subset of the 49 people who escaped a burning
building.
16. Population, because it is a collection of the number of Electoral College votes in each states in the
HU
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.
B_
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.
ST
21. Population: Parties of registered voters
Sample: Parties of registered voters who respond to a survey
22. Population: Meal plan choices of college students
UV
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
24. Population: Incomes of adults in Nevada
IA
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
?
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.
, CHAPTER 1 Ň INTRODUCTION TO STATISTICS 3
28. Population: Collection of the responses of U.S. adults
Sample: Collection of the responses of 1028 U.S. adults surveyed
Sample data set: 7% of adults who have never heard of organ and tissue donation and 93% who have
29. Population: Collection of responses from small business owners in the U.S.
Sample: Collection of responses of 2111 U.S. small business owners
Sample data set: 54% of small business owners who oppose increasing the minimum wage and 46%
who do not
30. Population: Collection of plans after college of all seniors graduating with a Bachelor of Science
degree
D,
Sample: Collection of plans after college of 214 seniors graduating with a Bachelor of Science degree
Sample data set: 15% of those surveyed who plan to obtain entry-level jobs in the health field and
85% who do not
HU
31. Population: Collection of all U.S. adults
Sample: Collection of responses of 1001 U.S. adults who were surveyed
Sample data set: 47% of respondents who typically feel well rested on weekdays and 53% who do not
32. Population: Collection of the responses of all automobile owners who have purchased extended
warranties
B_
Sample: Collection of responses of the 366 automobile owners who purchased extended warranties
surveyed
Sample data set: 44% of those surveyed who never used the warranty and 56% who have
33. Population: Collection of all companies listed in the Standard & Poor’s 500
ST
Sample: Collection of the responses of the 74 Standard & Poor’s 500 companies surveyed
Sample data set: Starting salaries of the 74 companies surveyed
34. Population: Collection of responses of members of a local children’s museum
UV
Sample: Collection of responses of the 679 members of a local children’s museum surveyed
Sample data set: Parenting attitudes of the 679 members surveyed
35. Sample statistic. The value $71,000 is a numerical description of a sample of average salaries.
36. Sample statistic. The value of 89% is a numerical description of a sample of college board members.
IA
37. Population parameter. The 62 surviving passengers out of 97 total passengers is a numerical
description of all of the passengers of the Hindenburg that survived.
?
38. Population parameter. The value of 54% is a numerical description of the total number of governors.
?
39. Sample statistic. The value of 6% is a numerical description of the sample of automobile owners.
40. Population parameter. The value 47% is a numerical description of the total number of voters.
41. Sample statistic. The value 79% is a numerical description of a sample of U.S. adults.
42. Population parameter. The score 20.2 is a numerical description of the ACT scores for all graduates.
Copyright © 2023 Pearson Education, Inc.
Elementary Statistics: Picturing the
World, 8th edition
Author (s): Ron Larson
D,
HU
B_
ST
UV
IA
??
, CHAPTER
Introduction to Statistics
1
1.1 AN OVERVIEW OF STATISTICS
1.1 TRY IT YOURSELF SOLUTIONS
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.
D,
2a. Population parameter, because the total spent on employees’ salaries, $5,150,694, is based on the
entire company.
b. Sample statistic, because 47% is based on a subset of the population.
HU
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%
B_
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
UV
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
description of a sample characteristic.
IA
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
?
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.
,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
an organized union.
14. Population, because it is a collection of the revenue of each team in a pro sports league.
D,
15. Sample, because the collection of the 12 people is a subset of the 49 people who escaped a burning
building.
16. Population, because it is a collection of the number of Electoral College votes in each states in the
HU
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.
B_
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.
ST
21. Population: Parties of registered voters
Sample: Parties of registered voters who respond to a survey
22. Population: Meal plan choices of college students
UV
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
24. Population: Incomes of adults in Nevada
IA
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
?
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.
, CHAPTER 1 Ň INTRODUCTION TO STATISTICS 3
28. Population: Collection of the responses of U.S. adults
Sample: Collection of the responses of 1028 U.S. adults surveyed
Sample data set: 7% of adults who have never heard of organ and tissue donation and 93% who have
29. Population: Collection of responses from small business owners in the U.S.
Sample: Collection of responses of 2111 U.S. small business owners
Sample data set: 54% of small business owners who oppose increasing the minimum wage and 46%
who do not
30. Population: Collection of plans after college of all seniors graduating with a Bachelor of Science
degree
D,
Sample: Collection of plans after college of 214 seniors graduating with a Bachelor of Science degree
Sample data set: 15% of those surveyed who plan to obtain entry-level jobs in the health field and
85% who do not
HU
31. Population: Collection of all U.S. adults
Sample: Collection of responses of 1001 U.S. adults who were surveyed
Sample data set: 47% of respondents who typically feel well rested on weekdays and 53% who do not
32. Population: Collection of the responses of all automobile owners who have purchased extended
warranties
B_
Sample: Collection of responses of the 366 automobile owners who purchased extended warranties
surveyed
Sample data set: 44% of those surveyed who never used the warranty and 56% who have
33. Population: Collection of all companies listed in the Standard & Poor’s 500
ST
Sample: Collection of the responses of the 74 Standard & Poor’s 500 companies surveyed
Sample data set: Starting salaries of the 74 companies surveyed
34. Population: Collection of responses of members of a local children’s museum
UV
Sample: Collection of responses of the 679 members of a local children’s museum surveyed
Sample data set: Parenting attitudes of the 679 members surveyed
35. Sample statistic. The value $71,000 is a numerical description of a sample of average salaries.
36. Sample statistic. The value of 89% is a numerical description of a sample of college board members.
IA
37. Population parameter. The 62 surviving passengers out of 97 total passengers is a numerical
description of all of the passengers of the Hindenburg that survived.
?
38. Population parameter. The value of 54% is a numerical description of the total number of governors.
?
39. Sample statistic. The value of 6% is a numerical description of the sample of automobile owners.
40. Population parameter. The value 47% is a numerical description of the total number of voters.
41. Sample statistic. The value 79% is a numerical description of a sample of U.S. adults.
42. Population parameter. The score 20.2 is a numerical description of the ACT scores for all graduates.
Copyright © 2023 Pearson Education, Inc.
