STAT/MATH 3379: Dr. Manage
Chapter Assignment
Chapter 1: The Nature of Statistics-Solutions
1.
______________ statistics consists of methods for estimating and drawing conclusions
about population characteristics based on the information in the sample.
A)
Observational
B)
Descriptive
C)
Inferential
D)
Sample
Answer:
C
2.
A magazine editor designs a survey to better serve the interests of the magazine’s
readers. Some of the questions about the respondent include the respondent’s
i) age.
ii) gender.
iii) income.
(a) Which of these variables are qualitative?
A)
B)
C)
D)
ii)
i) and iii)
ii) and iii)
i), ii), and iii)
Answer:
A
(b) Which of these variables are continuous?
A)
ii)
B)
iii)
C)
i) and iii)
D)
None of the variables is continuous.
Answer:
C
4.
Participants in a weight-loss program are asked for the following biographical
information upon entering the program:
i) weight
ii) gender
iii) age
(a) Which of these variables are quantitative?
A)
i)
B)
ii)
C)
iii)
D)
i) and iii)
Answer: D
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Chapter 1: The Nature of Statistics
(b) Which of these variables are discrete?
A)
B)
C)
D)
i)
ii)
iii)
None of the variables is discrete.
Answer: D
5.
A)
B)
C)
D)
Identify which level of measurement is represented by the following data:
the year you were born.
Nominal
Ordinal
Ratio
Interval
Answer: D
6.
A)
B)
C)
D)
Identify which level of measurement is represented by the following data:
your major in college.
Ordinal
Nominal
Interval
Ratio
Answer: B
7.
A)
B)
C)
D)
Identify which level of measurement is represented by the following data:
the number of siblings you have.
Nominal
Interval
Ordinal
Ratio
Answer: D
8.
A)
B)
C)
D)
Identify which level of measurement is represented by the following data:
on a scale of 1 (strongly agree) to 5 (strongly disagree), do you agree or disagree that
people convicted of murder should be subject to the death penalty?
Interval
Ordinal
Ratio
Nominal
Answer: B
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Chapter 1: The Nature of Statistics
9.
A)
B)
C)
D)
An on-campus career counselor would like to know what percentage of the college’s
graduates from the past 5 years are currently employed in their degree field. He
interviews 300 graduates from the past 5 years. Define the population.
The 300 graduates
All graduates of the college over the past 5 years
All graduates of the college
The percentage of graduates of the college over the past 5 years who are currently
employed in their degree field
Answer: B
10.
A)
B)
In a survey of 700 residents, 440 were in support of a tax increase to cover the cost of
building a new community recreation center. An advocate for the new center then
stated that 63% of the town was in favor of the increase. Is this an example of
descriptive statistics or statistical inference?
Descriptive statistics
Statistical inference
Answer: B
11.
A)
B)
12.
A)
B)
In a survey of 5000 tenth graders, 265 had used marijuana in the past month. Is this an
example of descriptive statistics or statistical inference?
Descriptive statistics
Statistical inference
Answer: A
In a sample of 200 domestic violence calls, 143 callers refused to press charges once the
police arrived at the scene. Is this an example of descriptive statistics or statistical
inference?
Descriptive statistics
Statistical inference
Answer: A
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Chapter 1: The Nature of Statistics
13.
A)
B)
C)
D)
The following table gives biographical information on the five most recent U.S.
presidents.
President
State of birth Birth year Religion
Age at
inauguration
Reagan
Illinois
1911
Disciples of Christ 69
G.H.W. Bush
Massachusetts 1924
Episcopalian
64
Clinton
Arkansas
1946
Baptist
46
G.W. Bush
Connecticut
1946
Methodist
54
Obama
Hawaii
1961
United Church of
47
Christ
(a) List the elements.
President, state of birth, birth year, religion, age at inauguration
The presidents
Birth year and age at inauguration
State of birth, birth year, religion, age at inauguration
Answer: B
A)
B)
C)
D)
(b) List the variables.
President, state of birth, birth year, religion, age at inauguration
The presidents
Birth year and age at inauguration
State of birth, birth year, religion, age at inauguration
Answer: D
A)
B)
C)
D)
© Which variables are quantitative?
President, state of birth, religion
State of birth, religion
Birth year, age at inauguration
Age at inauguration
Answer: C
A)
B)
C)
D)
(d) Which variables are qualitative?
President, state of birth, religion
State of birth, religion
Birth year, age at inauguration
Age at inauguration
Answer: B
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Chapter 1: The Nature of Statistics
A)
B)
C)
D)
€ Which level of measurement is represented by the data in the column “Birth year”?
Ratio
Ordinal
Nominal
Interval
Answer: D
A)
B)
C)
D)
(f) Which level of measurement is represented by the data in the column “Age at
inauguration”?
Interval
Ordinal
Ratio
Nominal
Answer: C
A)
B)
C)
D)
(g)Which level of measurement is represented by the data in the column “Religion”?
Nominal
Ordinal
Interval
Ratio
Answer: A
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Chapter 1: The Nature of Statistics
14.
A)
B)
C)
D)
Data on the top 5 companies to work for in 2009 (according to Fortune magazine) are
presented in the following table.
Company
Headquarters
Job growth
U.S.
Onsite
employees
child care
NetApp
Sunnyvale, CA
12%
5,014
No
Edward Jones St. Louis, MO
9%
34,496
No
Boston
Boston, MA
10%
1,680
No
Consulting
Group
Google
Mountain View,
40%
12,580
Yes
CA
Wegmans
Rochester, NY
6%
37,195
No
Food Markets
(a) List the elements.
The companies
Company, headquarters, onsite child care
Job growth, U.S. employees
Company, headquarters, job growth, U.S. employees, onsite child care
Answer: A
(b) List the variables.
A)
B)
C)
D)
The companies
Company, headquarters, onsite child care
Headquarters, job growth, U.S. employees, onsite child care
Company, headquarters, job growth, U.S. employees, onsite child care
Answer: C
A)
B)
C)
D)
A)
B)
C)
D)
©Which of the variables are qualitative?
Company, headquarters, onsite child care
Headquarters, onsite child care
Job growth, U.S. employees
None of the variables are qualitative.
Answer: B
(d)Identify the level of measurement represented by the data in the column “Onsite child
care”.
Interval
Nominal
Ratio
Ordinal
Answer: B
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Chapter 1: The Nature of Statistics
A)
B)
C)
D)
e) Identify the level of measurement represented by the data in the column “Job
Growth”.
Ordinal
Nominal
Ratio
Interval
Answer: C
15.
A)
B)
C)
D)
A quality control engineer at a manufacturing company samples every tenth production
lot in order to estimate the proportion of defective items being produced. This is an
example of what type of sampling?
Stratified sampling
Systematic sampling
Cluster sampling
Convenience sampling
Answer: B
16.
A)
B)
C)
D)
A cable company divides its service area into neighborhoods, randomly selects 30 of
these neighborhoods and then within these 30 neighborhoods, surveys each residence to
determine which of the cable company’s services the residence is using. This is an
example of what type of sampling?
Random sampling
Stratified sampling
Cluster sampling
Systematic sampling
Answer: C
17.
A)
B)
C)
D)
Students at a state university are sorted according to class (freshman, sophomore, junior,
senior). The registrar then obtains a random sample of size 150 from each class. This is
an example of what type of sampling?
Convenience sampling
Cluster sampling
Stratified sampling
Systematic sampling
Answer: C
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Chapter 1: The Nature of Statistics
18.
A)
B)
C)
D)
A journalist attends a town hall meeting and surveys the attendees regarding the
upcoming election for mayor. This is an example of what type of sampling?
Convenience sampling
Cluster sampling
Stratified sampling
Systematic sampling
Answer: A
19.
A)
B)
The CEO of a manufacturing company is interested in whether a new type of machinery
would increase his company’s profits. Which type of study is involved?
Experimental
Observational
Answer: A
20.
A)
B)
An advocate for a law banning cell phone use while driving is interested in the percentage
of accidents involving drivers using cell phones. Which type of study is involved?
Experimental
Observational
Answer: B
21.
A)
B)
The manager of a health club would like to know whether members who attend spinning
classes exercise more frequently than members who do not attend spinning classes.
Which type of study is involved?
Experimental
Observational
Answer: B
22.
A)
B)
C)
D)
The manager of a health club would like to know whether members who attend spinning
classes exercise more frequently than members who do not attend spinning classes.
Identify the response and predictor variables.
Response variable: frequency of exercise
Predictor variable: whether the member attends spinning classes
Response variable: whether the member attends spinning classes
Predictor variable: frequency of exercise
Response variable: whether the respondent is a member of the health club
Predictor variable: whether the respondent attends spinning classes
Response variable: whether the respondent attends spinning classes
Predictor variable: whether the respondent is a member of the health club
Answer: A
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Chapter 1: The Nature of Statistics
23.
A)
B)
C)
D)
Do first graders who participate in a new reading program score higher on reading
assessment tests? Identify the response and predictor variables.
Response variable: whether the child is a first grader
Predictor variable: the child’s reading assessment score
Response variable: whether the child is in the new reading program
Predictor variable: the child’s reading assessment score
Response variable: the child’s reading assessment score
Predictor variable: whether the child is in the new reading program
Response variable: the child’s reading assessment score
Predictor variable: whether the child is in first grade
Answer: C
24.
A)
B)
A pharmaceutical company would like to know whether subjects experience more
headaches when taking a new blood pressure medication than when taking a placebo.
Which type of study is involved?
Experimental
Observational
Answer: A
25.
A)
B)
C)
D)
A pharmaceutical company would like to know whether subjects experience more
headaches when taking a new blood pressure medication than when taking a placebo.
Identify the response and predictor variables.
Response variable: whether the subject is taking the new medication or the placebo
Predictor variable: frequency of headaches experienced by the subject
Response variable: frequency of headaches experienced by the subject
Predictor variable: whether the subject is taking the new medication or the placebo
Response variable: frequency of headaches while subject is taking the new medication
Predictor variable: frequency of headaches while subject is taking the placebo
Response variable: whether the subject’s blood pressure decreases
Predictor variable: whether the subject is taking the new medication or the placebo
Answer: B
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