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) ii)
B) i) and iii) C) ii) and iii) D) 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
(b) Which of these variables are discrete?
A) i)
B) ii)
C) iii)
D) None of the variables is discrete. Answer: D
5. Identify which level of measurement is represented by the following data: the year you were born.
A) Nominal
B) Ordinal
C) Ratio
D) Interval Answer: D
6. Identify which level of measurement is represented by the following data: your major in college.
A) Ordinal
B) Nominal
C) Interval
D) Ratio
Answer: B
7. Identify which level of measurement is represented by the following data: the number of siblings you have.
A) Nominal
B) Interval
C) Ordinal
D) Ratio
9. 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.
A) The 300 graduates
B) All graduates of the college over the past 5 years C) All graduates of the college
D) The percentage of graduates of the college over the past 5 years who are currently employed in their degree field
Answer: B
10. 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?
A) Descriptive statistics B) Statistical inference
Answer: B
11. 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?
A) Descriptive statistics B) Statistical inference
Answer: A
12. 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?
A) Descriptive statistics B) Statistical inference
13. 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
Christ
47
(a) List the elements.
A) President, state of birth, birth year, religion, age at inauguration B) The presidents
C) Birth year and age at inauguration
D) State of birth, birth year, religion, age at inauguration Answer: B
(b) List the variables.
A) President, state of birth, birth year, religion, age at inauguration B) The presidents
C) Birth year and age at inauguration
D) State of birth, birth year, religion, age at inauguration Answer: D
© Which variables are quantitative? A) President, state of birth, religion B) State of birth, religion
C) Birth year, age at inauguration D) Age at inauguration
€ Which level of measurement is represented by the data in the column “Birth year”? A) Ratio B) Ordinal C) Nominal D) Interval Answer: D
(f) Which level of measurement is represented by the data in the column “Age at inauguration”? A) Interval B) Ordinal C) Ratio D) Nominal Answer: C
(g)Which level of measurement is represented by the data in the column “Religion”?
A) Nominal
B) Ordinal
C) Interval
D) Ratio
14. 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.
employees
Onsite child care
NetApp Sunnyvale, CA 12% 5,014 No
Edward Jones St. Louis, MO 9% 34,496 No
Boston Consulting Group
Boston, MA 10% 1,680 No
Google Mountain View,
CA
40% 12,580 Yes
Wegmans Food Markets
Rochester, NY 6% 37,195 No
(a) List the elements.
A) The companies
B) Company, headquarters, onsite child care C) Job growth, U.S. employees
D) Company, headquarters, job growth, U.S. employees, onsite child care Answer: A
(b) List the variables.
A) The companies
B) Company, headquarters, onsite child care
C) Headquarters, job growth, U.S. employees, onsite child care
D) Company, headquarters, job growth, U.S. employees, onsite child care Answer: C
©Which of the variables are qualitative? A) Company, headquarters, onsite child care B) Headquarters, onsite child care
e) Identify the level of measurement represented by the data in the column “Job Growth”. A) Ordinal B) Nominal C) Ratio D) Interval Answer: C
15. 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?
A) Stratified sampling
B) Systematic sampling
C) Cluster sampling
D) Convenience sampling
Answer: B
16. 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?
A) Random sampling
B) Stratified sampling C) Cluster sampling
D) Systematic sampling
Answer: C
17. 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?
A) Convenience sampling
B) Cluster sampling C) Stratified sampling
D) Systematic sampling
18. 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?
A) Convenience sampling
B) Cluster sampling C) Stratified sampling
D) Systematic sampling
Answer: A
19. 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?
A) Experimental
B) Observational
Answer: A
20. 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?
A) Experimental B) Observational
Answer: B
21. 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?
A) Experimental
B) Observational
Answer: B
22. 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.
23. Do first graders who participate in a new reading program score higher on reading assessment tests? Identify the response and predictor variables.
A) Response variable: whether the child is a first grader Predictor variable: the child’s reading assessment score
B) Response variable: whether the child is in the new reading program Predictor variable: the child’s reading assessment score
C) Response variable: the child’s reading assessment score
Predictor variable: whether the child is in the new reading program D) Response variable: the child’s reading assessment score
Predictor variable: whether the child is in first grade Answer: C
24. 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?
A) Experimental
B) Observational
Answer: A
25. 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.
A) Response variable: whether the subject is taking the new medication or the placebo Predictor variable: frequency of headaches experienced by the subject
B) Response variable: frequency of headaches experienced by the subject
Predictor variable: whether the subject is taking the new medication or the placebo C) Response variable: frequency of headaches while subject is taking the new medication
Predictor variable: frequency of headaches while subject is taking the placebo D) Response variable: whether the subject’s blood pressure decreases
Predictor variable: whether the subject is taking the new medication or the placebo Answer: B
