Test Bank for Business Statistics: A First Course, 3rd Edition

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Test Bank for Business Statistics: A First Course, 3rd Edition helps you familiarize yourself with exam formats and key concepts.

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1-1
Chapter 1: Data and Decisions– Quiz A Name_________________________
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
1. Viamedia, the cable industry's leading independent cable rep firm and provider of
online advertising services, sponsored an online survey in June, 2013 to understand
television viewing habits. The survey was given to 2,029 American adults age 18 and
older, of whom 1,958 watch television programming. Of interest was how Americans
watched television –72% watch cable TV while 33% watch on a device (tablet,
smartphone, computer). Describe the W’s for the information given.
• Who:
• What:
• When:
• Where:
• How:
• Why:
1.2.2 Identify various aspects of studies and experiments and/or classify variables.
2. The following tables display some of the demographic data collected in a recent
(2012) Nielsen Global Survey analyzing Asian American purchasing behaviors and
television viewing patterns. List the variables in the data set. Indicate whether each
variable is categorical or quantitative. If the variable is quantitative, give the units.
Age
Distribution
% Total
U.S.
Households
% Asian-
American
Households
0–9 13% 12%
10–17 11% 10%
18–24 10% 10%
25–34 13% 16%
45–54 14% 14%
55–74 20% 14%
75+ 6% 4%
Income
Ranges
% Total
U.S.
Households
% Asian-
American
Households
< $25,000 24% 20%
$25,000–
$34,999
11% 8%
$35,000–
$49,999
16% 13%
$50,000–
$74,999
20% 18%
$75,000–
$99,999
12% 14%
$100,000+ 18% 29% Composition
of Asian-
Americans
%
Composition
Asian-Indian 19%
Vietnamese 11%
Chinese 23%
Korean 10%
Filipino 17%
Japanese 5%
Other Asian 15%

1-2 Chapter 1 Data and Decisions
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
3. In addition to the variables listed above, data were also collected on the variables
listed below. Indicate whether each is nominal or ordinal.
• Region of U.S. (NE, NW, MW, SW, SE)
• Education (Less than High School, High School, Some College, College +)
• Marital Status (Single, Widowed, Divorced, Married)
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
4. For each of the following, indicate whether the data are cross-sectional or time series:
• Monthly spending on household goods
• Change in population for 5 consecutive years
• Percentage of adults who bank online
• Composition of types of Asian American families in the most populated U.S.
cities.
• Monthly demand for a technology item
• Percentage of adults who purchase goods online

Quiz A 1-3
Chapter 1: Data and Decisions – Quiz A – Key
1. Viamedia, the cable industry's leading independent cable rep firm and provider of
online advertising services, sponsored an online survey in June, 2013 to
understand television viewing habits. The survey was given to 2,029 American
adults age 18 and older, of whom 1,958 watch television programming. Of
interest was how Americans watched television –72% watch cable TV while 33%
watch on a device (tablet, smartphone, computer). Describe the W’s for the
information given.
• Who:
American adults aged 18 and older
• What:
Television viewing
• When:
June 2013
• Where:
United States
• How:
Online survey
• Why:
to analyze how Americans watch television

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1-4 Chapter 1 Data and Decisions
2. The following tables display some of the demographic data collected in a recent
(2012) Nielsen Global Survey analyzing Asian American purchasing behaviors and
television viewing patterns. List the variables in the data set. Indicate whether each
variable is categorical or quantitative. If the variable is quantitative, give the units.
Categorical: Household Income Ranges, Age Distribution, Types of Expenditure
Quantitative: % Total Household, % Asian-American Households, % Age Distribution-
Total U.S. and Asian-American, Expenditures of Asian-Americans ($),Expenditures of
Total U.S. Market ($)
Age
Distribution
% Total
U.S.
Households
% Asian-
American
Households
0–9 13% 12%
10–17 11% 10%
18–24 10% 10%
25–34 13% 16%
45–54 14% 14%
55–74 20% 14%
75+ 6% 4%
Household
Income
Ranges
% Total
U.S.
Households
% Asian-
American
Households
< $25,000 24% 20%
$25,000–
$34,999
11% 8%
$35,000–
$49,999
16% 13%
$50,000–
$74,999
20% 18%
$75,000–
$99,999
12% 14%
$100,000+ 18% 29%
Types of
Expenditure
Asian-
Americans
Total U.S.
Market
Housing $20,800 $16,900
Transportation $10,100 $9,000
Food $8,000 $6,600
Personal
Insurance and
Food
$7,800 $5,600
Apparel $2,400 $1,700

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Quiz A 1-5
3. In addition to the variables listed above, data were also collected on the variables
listed below. Indicate whether each is nominal or ordinal.
• Region (NE, NW, MW, SW, SE)
Nominal
• Education (Less than High School, High School, Some College, College +)
Ordinal
• Marital Status (Single, Widowed, Divorced, Married)
Nominal
4. For each of the following, indicate whether the data are cross-sectional or time series:
• Monthly spending on household goods
Time Series
• Change in population for 5 consecutive years
Time Series
• Composition of types of Asian American families in the most populated U.S.
cities.
Cross-Sectional
• Monthly demand for a technology item
Time Series
• Percentage of adults who purchase goods online
Cross-Sectional

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1-6 Chapter 1 Data and Decisions
Chapter 1: Data and Decisions – Quiz B Name_________________________
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
1. Consumer Reports Health routinely compares drugs in terms of effectiveness and
safety. In summer 2008 they reviewed drugs used to treat arthritis. Information was
reported on convenience of use (how many pills required each day), possible side effects
(e.g., dizziness, stomach upset), cost, and ratings of effectiveness in relieving symptoms
(very effective, somewhat effective, not effective). Describe the W’s for the information
given.
• Who:
• What:
• When:
• Where:
• How:
• Why:
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
2. List the variables reported in the Consumer Reports Health article on drugs used to
treat arthritis. If the variable is quantitative, give the units. If the variable is categorical,
indicate whether it is nominal or ordinal.
1.2.2 Identify various aspects of studies and experiments and/or classify variables.
3. The Human Resources Department of a large corporation maintains records on its
employees. The table displays some of these data. List the variables in the data set.
Indicate whether each variable is categorical or quantitative. If the variable is
quantitative, give the units. If the variable is categorical, indicate whether it is nominal or
ordinal.
Age Employment
Category
Education Participates in
Wellness Program?
Paycheck Benefit
Deductions
32 Clerical High School Yes $250
52 Professional College No $120
60 Professional Junior College Yes $0
28 Clerical High School No $120
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
4. For each of the following, indicate whether the data are cross-sectional or time series:
• Company quarterly profits
• Percentage of American adults who work full time
• Historical closing stock prices

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Quiz B 1-7
Chapter 1: Data and Decisions – Quiz B – Key
1. Consumer Reports Health routinely compares drugs in terms of effectiveness and
safety. In summer 2008 they reviewed drugs used to treat arthritis. Information was
reported on convenience of use (how many pills required each day), possible side effects
(e.g., dizziness, stomach upset), cost, and ratings of effectiveness in relieving symptoms
(very effective, somewhat effective, not effective). Describe the W’s for the information
given.
• Who:
drugs to treat arthritis currently on the market
• What:
convenience of use, side effects, cost, effectiveness ratings
• When:
summer 2008
• Where:
not specified, probably United States
• How:
testing on drugs
• Why:
information for potential consumers/patients
2. List the variables reported in the Consumer Reports Health article on drugs used to
treat arthritis. If the variable is quantitative, give the units. If the variable is categorical,
indicate whether it is nominal or ordinal.
Categorical: Side effect (nominal), effectiveness rating (ordinal)
Quantitative: Convenience of use (number of pills), Cost ($)
3. The Human Resources Department of a large corporation maintains records on its
employees. The table displays some of these data. List the variables in the data set.
Indicate whether each variable is categorical or quantitative. If the variable is
quantitative, give the units. If the variable is categorical, indicate whether it is nominal or
ordinal.

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1-8 Chapter 1 Data and Decisions
Age Employment
Category
Education Participates in
Wellness Program?
Paycheck Benefit
Deductions
32 Clerical High School Yes $250
52 Professional College No $120
60 Professional Junior College Yes $0
28 Clerical High School No $120
Categorical: Employment Category (nominal), Education (ordinal), Participation in
Wellness Program? (nominal)
Quantitative: Age (years), Paycheck Benefit Deductions ($)
4. For each of the following, indicate whether the data are cross-sectional or time series:
• Company quarterly profits
Time Series
• Percentage of American adults who work full time
Cross-Sectional
• Historical closing stock prices
Time Series

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Quiz C 1-9
Chapter 1: Data and Decisions – Quiz C Name_________________________
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
1. Consumer Reports National Research Center routinely compares products and
services. A poll of more than 1,800 U.S. residents was conducted shortly after the 2008
holiday season. What they found was that fewer people than in the previous year tipped
their service providers (newspaper carrier, barber, mail carrier, hairdresser, garbage
collector) or the amount that consumers tip for specific services was reduced..
Information was reported on the type of service, whether a tip or gift was given, and the
median total value of the tip. Describe the W’s for the information given.
• Who:
• What:
• When:
• Where:
• How:
• Why:
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
2. List the variables reported in the Consumer Reports Magazine article on tipping. If
the variable is quantitative, give the units. If the variable is categorical, indicate whether
it is nominal or ordinal.
1.2.2 Identify various aspects of studies and experiments and/or classify variables.
3. Businesses in a U.S. city were surveyed about information to provide to prospective
employees after graduating from business school. The table displays some of these data.
List the variables in the data set. Indicate whether each variable is categorical or
quantitative. If the variable is quantitative, give the units. If the variable is categorical,
indicate whether it is nominal or ordinal.
Employment
Category
Require an MBA
Degree?
Prefer Graduates
with Work
Experience?
Median Salary of
New Graduates
Sales No No $35,000
Management Yes Yes $47,000
Accounting No Yes $52,000
Advertising No No $45,000
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
4. For each of the following, indicate whether the data are cross-sectional or time series:
• Dow Jones Index
• Eating habits by age group
• Attitudes toward abortion over past 10 years
• Voting behavior data for a particular neighborhood

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1-10 Chapter 1 Data and Decisions
Chapter 1: Data and Decisions – Quiz C – Key
1. Consumer Reports National Research Center routinely compares products and
services. A poll of more than 1,800 U.S. residents was conducted shortly after the 2008
holiday season. What they found was that fewer people tipped their service providers
(newspaper carrier, barber, mail carrier, hairdresser, garbage collector) than in the
previous year or the amount that consumers tip for specific services was reduced.
Information was reported on the type of service, whether a tip or gift was given, the level
of tipping, and the median total value of the tip. Describe the W’s for the information
given.
• Who:
U.S. residents, most likely adults although not specified
• What:
Amount of tipping and type of tipping for service providers during the holiday season for
this year and the previous year
• When:
shortly after the holiday season 2008
• Where:
United States
• How:
A poll – not specified what type
• Why:
investigate consumer behavior in tipping service providers
2. List the variables reported in the Consumer Reports Magazine article on tipping. If
the variable is quantitative, give the units. If the variable is categorical, indicate whether
it is nominal or ordinal.
Categorical: Whether or not someone tipped this year and/or previous year (nominal),
type of tipping–gift or money (nominal), service provider who was tipped (nominal),
level of tipping–low, medium, high (ordinal)
Quantitative: Median value of tip ($),

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Quiz C 1-11
3. Businesses in a U.S. city were surveyed about information to provide to prospective
employees after graduating from business school. The table displays some of these data.
List the variables in the data set. Indicate whether each variable is categorical or
quantitative. If the variable is quantitative, give the units. If the variable is categorical,
indicate whether it is nominal or ordinal.
Employment
Category
Require an MBA
Degree?
Level of Work
Experience
Preferred?
Median Salary of
New Graduates
Sales No None $35,000
Management Yes Extensive $47,000
Accounting No Moderate $52,000
Advertising No None $45,000
Categorical: Employment Category (nominal), Require an MBA Degree? (nominal),
Level of Work Experience Preferred? (ordinal)
Quantitative: Median Salary of New Graduates ($)
4. For each of the following, indicate whether the data are cross-sectional or time series:
• Dow Jones Index
Time Series
• Eating habits by age group
Cross-Sectional
• Attitudes toward abortion over past 10 years
Time Series
• Voting behavior data for a particular neighborhood
Cross-Sectional

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1-12 Chapter 1 Data and Decisions
Chapter 1: Data and Decisions – Quiz D – Multiple Choice
Name________________________
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
1. In the fall of 2007, the Pew Internet & Life Project conducted telephone interviews
with a sample of American adults aged 18 and older about online shopping. American
adults aged 18 and older constitute the ______ of the study.
A. Who
B. What
C. When
D. Where
E. How
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
2. A few of the variables for which data were collected in the Pew Internet & Life
Project study about online shopping include age, gender, income, and number of hours
spent shopping online per month. Which of the variables is categorical?
A. Age
B. Gender
C. Income
D. Number of hours spent shopping online
E. None
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
3. The Pew Internet & Life Project study about online shopping asked respondents to
indicate their education level on the following scale: Less than High School, High
School, Some College, College +. Which of the following statements is (are) true?
A. Education level is a categorical variable.
B. Education level is nominal scaled.
C. Education level is ordinal scaled.
D. Both A and B
E. Both A and C

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Quiz D 1-13
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
4. Consumer Reports Health routinely compares drugs in terms of effectiveness and
safety. In summer 2008 they reviewed drugs used to treat arthritis. Among the
information reported was convenience of use (how many pills required each day) and
possible side effects (e.g., dizziness, stomach upset). Convenience of use and possible
side effects constitute the ________ of the study.
A. Who
B. What
C. When
D. Where
E. How
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
5. What is the “Who” in a Consumer Reports Health study on the effectiveness and
safety of drugs used to treat arthritis?
A. drugs to treat arthritis currently on the market
B. convenience of use and possible side effects
C. summer 2008
D. the United States
E. testing on drugs
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
6. A Consumer Reports Health study on the effectiveness and safety of arthritis drugs
collected data on possible side effects. This is what kind of variable?
A. Quantitative
B. Categorical
C. Nominal
D. Both A and C
E. Both B and C
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
7. A Consumer Reports Health study on arthritis drugs takes into consideration cost.
Cost is
A. is a nominal variable.
B. is a categorical variable.
C. is a quantitative variable.
D. is an ordinal variable.
E. is an irrelevant variable.

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1-14 Chapter 1 Data and Decisions
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
8. The Human Resources Department of a large corporation maintains records on its
employees. Data are maintained of the following variables: Age, Employment Category,
Education, Whether or not the employee participates in a wellness program, and
Paycheck benefit deductions. Which of these variables are categorical?
A. Age, Employment Category, and Education
B. Employment Category, Education, and Whether or not the employee participates in
a wellness program
C. Education, Whether or not the employee participates in a wellness program, and
Paycheck benefit deductions
D. All of the variables
E. None of the variables
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
9. Which of the following is (are) based on cross sectional data?
A. Company quarterly profits
B. Percentage of American adults who work full time
C. Historical closing stock prices
D. All of the above
E. None of the above.
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
10. Which of the following is (are) time series data?
A. Weekly receipts at a clothing boutique
B. Monthly demand for an automotive part
C. Quarterly sales of automobiles
D. All of the above
E. None of the above

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1-16 Chapter 1 Data and Decisions
Chapter 1: Data and Decisions – Quiz E – Multiple Choice
Name___________________
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
1. A university is interested in gauging student satisfaction in its online MBA program.
A survey is designed and administered via the Internet to a sample of students currently
active in the program. Which of the following would best describe the cases?
A. Participants
B. Respondents
C. Experimental Units
D. Subjects
E. Variables
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
2. In a survey undertaken by a university to gauge student satisfaction in its online MBA
program, one question asked students to indicate their employment status (unemployed,
employed part-time, employed full-time). Which of the following is true?
A. This variable is categorical.
B. This variable is quantitative.
C. This is an identifier variable.
D. Both A and C.
E. Both B and C.
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
3. In a survey undertaken by a university to gauge student satisfaction in its online MBA
program, one question asked students to indicate the number of credits they had
transferred into the program. Which of the following is true?
A. This variable is categorical.
B. This variable is transactional.
C. This variable is quantitative.
D. This is an identifier variable.
E. This variable is nominal.

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Quiz E 1-17
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
4. Researchers in e-commerce design an experiment to determine what factors are most
important to online consumers when completing a transaction via the Internet.
Individuals perform tasks on a set of Web sites and record their impressions about
various attributes. Which of the following would best describe the cases?
A. Participants
B. Respondents
C. Experimental Units
D. Transactions
E. Variables
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
5. A popular travel magazine regularly reviews hotels worldwide. In a recent issue, it
focused on hotels in Hawaii. Among the variables for which it provided data was
whether or not the hotel included a spa. This is a
A. quantitative variable.
B. identifier variable.
C. ordinal variable.
D. categorical variable.
E. transactional variable.
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
6. A popular travel magazine regularly reviews hotels worldwide. In a recent issue, it
focused on hotels in Hawaii. Among the variables for which it provided data was the
price range for rooms with an ocean view. Which of the following statements is true?
A. These data are transactional.
B. This variable is quantitative and the units are $.
C. This variable is quantitative and the units are number of rooms.
D. This variable is qualitative and ordinal.
E. These data are time series.
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
7. A mid-priced chain of hotels, Hometown Suites, strives to make its guests “feel at
home” by providing amenities such as microwaves in every room. Comment cards are
used to get feedback on the importance of such amenities by asking guests to rate them
using the scale: ___ Essential ___ Important ___ Not Important. These data are
A. qualitative.
B. nominal.
C. ordinal.
D. both A and B.
E. both A and C.

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1-18 Chapter 1 Data and Decisions
1.3.1 Identify various aspects of studies and experiments and/or classify variables.
8. A locally owned spa, Alexander’s, is interested in adding a tea room that not only
offers specialty teas but an organic lunch menu. In order to determine how many of its
regular customers would be interested in such an addition, Alexander’s sent out a short e-
mail questionnaire. The source of these data is
A. the Internet.
B. transactional.
C. a designed survey.
D. a designed experiment.
E. secondary.
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
9. A locally owned spa, Alexander’s, is interested in adding a tea room that not only
offers specialty teas but an organic lunch menu. In order to determine how many of its
regular customers would be interested in such an addition, Alexander’s sent out a short e-
mail questionnaire. One question asked its customers to indicate how much they spend
monthly on all natural, organic products. These data are
A. cross-sectional.
B. time series.
C. categorical.
D. transactional.
E. experimental.
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
10. A mid-priced chain of hotels, Hometown Suites, collects data on monthly occupancy
rates for forecasting and planning purposes. These data are
A. cross-sectional.
B. time series.
C. categorical.
D. transactional.
E. experimental.

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1-20 Chapter 1 Data and Decisions
Chapter 1: Data and Decisions – Quiz F– Multiple Choice
Name___________________
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
1. In June, 2013, Viamedia sponsored an online survey to sample a group of American
adults aged 18 and older about watching television. American adults aged 18 and older
constitute the ______ of the study.
A. Who
B. What
C. When
D. Where
E. How
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
2. A few of the variables for which data were collected in the Viamedia survey about
television viewing include age, gender, income, and type of device used to watch
television. Which of the variables is categorical?
A. Age
B. Type of device used to watch television
C. Income
D. All
E. None
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
3. The data collected in a recent (2012) Nielsen Global Survey analyzed Asian American
demographics. Which of the following statements is (are) true?
A. Education level is a categorical variable.
B. Education level is nominal scaled.
C. Education level is ordinal scaled.
D. Both A and B
E. Both A and C
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
4. Businesses are interested in the work experience of recent graduates from a local
business school. Whether or not the graduates have work experience constitutes the
________ of the study.
A. Who
B. What
C. When
D. Where
E. How

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Quiz F 1-21
1.1.1 Identify various aspects of studies and experiments and/or classify variables.
5. What is the “What” in a Consumer Reports Tipping study on the level of tipping
during the current holiday season compared to the last holiday season?
A. whether or not tipped
B. amount of tip compared to last year
C. the type of tip
D. the United States
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
6. A Consumer Reports survey on the level of tipping for service providers. This is what
kind of variable?
A. Quantitative
B. Ordinal
C. Nominal
D. Both A and C
E. Both B and C
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
7. A Consumer Reports study on tipping takes into consideration median amount of
tipping for service providers. Tipping is
A. is a nominal variable.
B. is a categorical variable.
C. is a quantitative variable.
D. is an ordinal variable.
E. is an irrelevant variable.
1.2.1 Identify various aspects of studies and experiments and/or classify variables.
8. The Human Resources Department of a large corporation maintains records on its
employees. Data are maintained of the following variables: Age, Employment Category,
Education, and Whether or not the employee has an advanced degree. Which of these
variables are categorical?
A. Age, Employment Category, and Education
B. Employment Category and Education
C. Education and Whether or not the employee has an advanced degree
D. All of the variables
E. None of the variables

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1-22 Chapter 1 Data and Decisions
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
9. Which of the following is (are) based on cross sectional data?
A. Company quarterly profits
B. Percentage of American adults who work full time
C. Dow Jones Index
D. All of the above
E. None of the above.
1.2.3 Identify various aspects of studies and experiments and/or classify variables.
10. Which of the following is (are) time series data?
A. Monthly receipts at an apparel shop
B. Monthly demand for a technology item
C. Dow Jones Index
D. All of the above
E. None of the above

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2-1
Chapter 2: Displaying and Describing Categorical Data – Quiz A
Name_____________________________________
A large national retailer of electronics conducted a survey to determine consumer
preferences for various brands of point and shoot digital cameras. The table summarizes
responses by brand and gender.
2.1.3 Create and use frequency and relative frequency distributions and their displays.
1. Identify the variables and tell whether each is categorical or quantitative.
2.1.3 Create and use frequency and relative frequency distributions and their displays.
2. Find each of the following percentages.
a. What percent of the responses were males who prefer Nikon?
b. What percent of the male responses prefer Olympus?
c. What percent of the consumers who choose Nikon were females?
2.3.4 Determine if displays of data are appropriate.
3. What is the marginal distribution of brands?
2.2.4 Determine if displays of data are appropriate.
4. Prepare an appropriate chart to display the marginal distribution of brands.
2.3.4 Determine if displays of data are appropriate.
5. Write a sentence or two about the conditional relative frequency distribution of the
brands among female respondents.
Female Male Total
Cannon Power Shot 73 59 132
Nikon Cool Pix 49 47 96
Sony Cyber Shot 58 33 91
Panasonic Lumix 35 30 65
Fujifilm Finepix 45 28 73
Olympus S/V 37 41 78
Other Brands 86 67 153
Total 383 305 688

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Quiz A 2-3
Chapter 2: Displaying and Describing Categorical Data – Quiz A – Key
A large national retailer of electronics conducted a survey to determine consumer
preferences for various brands of digital cameras. The table summarizes responses by
brand and gender.
1. Identify the variables and tell whether each is categorical or quantitative.
Gender and Brand; both categorical.
2. Find each of the following percentages.
a. What percent of the responses were males who prefer Nikon?
6.8% (47/688)
b. What percent of the male responses prefer Olympus?
13.4% (41/305)
c. What percent of the consumers who choose Nikon were females?
51.0% (49/96)
3. What is the marginal distribution of brands?
132 for Cannon Power Shot, 96 for Nikon Cool Pix, 91 for Sony Cyber Shot, 65 for
Panasonic Lumix, 73 for Fujifilm Finepix, 78 for Olympus S/V and 153 for other brands.
4. Prepare an appropriate chart to display the marginal distribution of brands.
Either a bar chart (shown below) or a pie chart is appropriate.
Female Male Total
Cannon Power Shot 73 59 132
Nikon Cool Pix 49 47 96
Sony Cyber Shot 58 33 91
Panasonic Lumix 35 30 65
Fujifilm Finepix 45 28 73
Olympus S/V 37 41 78
Other Brands 86 67 153
Total 383 305 688

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2-4 Chapter 2 Displaying and Describing Categorical Data
5. Write a sentence or two about the conditional relative frequency distribution of the
brands among female respondents.
Among females, 19.1% prefer Cannon, 12.8% prefer Nikon, 15.1% prefer Sony, 9.1%
prefer Panasonic, 11.7% prefer Fujifilm, and 9.7% prefer Olympus. The remaining
22.5% of females preferred other brands.
6. Consider the following side by side bar chart for the data above:
Does the chart indicate that brand preference is independent of gender? Explain.
Brand preference appears to be independent of gender for about half of the brands. The
other half of the brand preferences seem to have preference based on gender. These data
provide little evidence of a difference in digital camera choice based on gender.

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Quiz B 2-5
Chapter 2: Displaying and Describing Categorical Data – Quiz B
Name_____________________________________
A full service brokerage firm gathered information on how their clients were investing
for retirement. Based on age, clients were categorized according to where the largest
percentage of their retirement portfolio was invested. The table below summarized the
data.
2.1.3 Create and use frequency and relative frequency distributions and their displays.
1. Identify the variables and tell whether each is categorical or quantitative.
2.1.3 Create and use frequency and relative frequency distributions and their displays.
2. Find each of the following percentages.
a. What percent of the clients are over age 50 who invests in mutual funds?
b. What percent of clients over age 50 invest in mutual funds?
c. What percent of the mutual fund investors are over age 50?
2.3.4 Determine if displays of data are appropriate.
3. What is the marginal distribution of age?
2.2.4 Determine if displays of data are appropriate.
4. Prepare an appropriate chart to display the marginal distribution of age.
2.1.3 Create and use frequency and relative frequency distributions and their displays.
5. Write a sentence or two about the conditional relative frequency distribution of mode
of investment for clients age 50 or younger.
Age 50 or
Younger
Over
Age 50
Total
Mutual Funds 30 34 64
Stocks 37 45 82
Bonds 19 23 42
Total 86 102 188

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2-6 Chapter 2 Displaying and Describing Categorical Data
2.4.3 Create and use frequency and relative frequency distributions and their displays.
6. Consider the following side by side bar chart for the data above:
Does the chart indicate that mode of investment is independent of age? Explain.
2.5.4 Create and use frequency and relative frequency distributions and their displays.
7. A newspaper examined the town's two hospitals and found that over the last six
months at Mercy Hospital 79% of the patients survived while at County Hospital 90%
survived. The table below summarizes the findings.
Lived Died Total % who lived
Mercy Hospital 790 210 1000 79.0%
City Hospital 900 100 1000 90.0%
On closer investigation, it was observed that there was a difference in survival between
patients who were admitted in poor condition or worse compared with patients admitted
in fair condition or better. The following tables were created:
Patients admitted in poor condition or worse:
Lived Died Total % who lived
Mercy Hospital 210 200 410
City Hospital 40 70 110
Investment BondsStocksMutual Funds
OlderYoungerOlderYoungerOlderYounger
60
50
40
30
20
10
0
Data
Percent within levels of Investment.

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Test Bank for Business Statistics: A First Course, 3rd Edition

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