Data and Statistics
n n
Learning Objectives
n
1. Obtain an appreciation for the breadth of statistical applications in business and economics.
n n n n n n n n n n n n
2. Understand the meaning of the terms elements, variables, and observations as they are used in
n n n n n n n n n n n n n n
statistics.
n
3. Obtain an understanding of the difference between categorical, quantitative, cross-sectional, and
n n n n n n n n n n
time series data.
n n n
4. Learn about the sources of data for statistical analysis both internal and external to the firm.
n n n n n n n n n n n n n n n
5. Be aware of how errors can arise in data.
n n n n n n n n
6. Know the meaning of descriptive statistics and statistical inference.
n n n n n n n n
7. Be able to distinguish between a population and a sample.
n n n n n n n n n
8. Understand the role a sample plays in making statistical inferences about the population.
n n n n n n n n n n n n
9. Know the meaning of the terms analytics, big data and data mining.
n n n n n n n n n n n
10. Be aware of ethical guidelines for statistical practice.
n n n n n n n
,Solutions:
1. Statistics can be referred to as numerical facts. In a broader sense, statistics is the field of study
n n n n n n n n n n n n n n n n n
dealing with the collection, analysis, presentation, and interpretation of data.
n n n n n n n n n n
2. a. The ten elements are the ten tablet computers.
n n n n n n n
b. Five variables: Cost ($), Operating System, Display Size (inches), Battery Life (hours), CPU
n n n n n n n n n n n n
Manufacturer
n
c. Categorical variables: Operating System and CPU Manufacturer n n n n n n
Quantitative variables: Cost ($), Display Size (inches), and Battery Life (hours)
n n n n n n n n n n
d. n
Variable Measurement Scale n
Cost ($) n Ratio
Operating System n Nominal
Display Size (inches) n n Ratio
Battery Life (hours) n n Ratio
n n CPU Manufacturer n Nominal
3. a. Average cost = 5829/10 = $582.90 n n n n n
b. Average cost with a Windows operating system = 3616/5 = $723.20
n n n n n n n n n n
Average cost with an Android operating system = 1714/4 = $428.5
n n n n n n n n n n n
n The average cost with a Windows operating system is much higher.
n n n n n n n n n n
c. 2 of 10 or 20% use a CPU manufactured by TI OMAP.
n n n n n n n n n n n
d. 4 of 10 or 40% use an Android operating system.
n n n n n n n n n
4. a. There are eight elements in this data set; each element corresponds to one of the eight models of
n n n n n n n n n n n n n n n n n
cordless telephones.
n n
b. Categorical variables: Voice Quality and Handset on Base n n n n n n n
n Quantitative variables: Price, Overall Score, and Talk Time n n n n n n n
c. Price – ratio measurement
n n n
Overall Score – interval measurement n n n n
Voice Quality – ordinal measurement
n n n n n
Handset on Base – nominal measurement
n n n n n n
Talk Time – ratio measurement
n n n n n
5. a. Average Price = 545/8 = $68.13 n n n n n
b. Average Talk Time = 71/8 = 8.875 hours n n n n n n n
c. Percentage rated Excellent: 2 of 8 n n n n n 2/8 = .25, or 25% n n n n
4 -2 n n
,6. a. Categorical
b. Quantitative
c. Categorical
d. Quantitative
e. Quantitative
7. a. Since there are five choices, the response is a categorical response.
n n n n n n n n n n
b. The five responses are the labels for the customer responses. A nominal scale is being used.
n n n n n n n n n n n n n n n
8. a. 762
b. Categorical
c. Percentages
d. .67(762) = 510.54 n n
510 or 511 respondents said they want the amendment to pass.
n n n n n n n n n n
9. a. The population is employed individuals in the United States aged 25–29.
n n n n n n n n n n
b. Have you earned a bachelor’s degree (or higher)?
n n n n n n n
c. Since the response is yes or no, the response is categorical.
n n n n n n n n n n
10. a. Categorical
b. Percentages
c. 44 of 1080 respondents or approximately 4% strongly agree with allowing drivers of motor vehiclesto
n n n n n n n n n n n n n n n
talk on a hand-held cell phone while driving.
n n n n n n n n
d. 165 of the 1080 respondents or 15% of said they somewhat disagree and 741 or 69% said they
n n n n n n n n n n n n n n n n n
strongly disagree. Thus, there does not appear to be general support for allowing drivers of motor
n n n n n n n n n n n n n n n n
vehicles to talk on a hand-held cell phone while driving.
n n n n n n n n n n
11. a. Since the respondents answer with some time interval, the response is categorical.b.
n n n n n n n n n n n n
.53(1503) = 796.59 or approximately 797
n n n n n
c. .10(1503) = 150.3 or approximately 150 n n n n n
12. a. The population is all visitors coming to the state of Hawaii.
n n n n n n n n n n
b. Since airline flights carry the vast majority of visitors to the state, the use of questionnaires for
n n n n n n n n n n n n n n n n
passengers during incoming flights is a good way to reach this population. The questionnaire
n n n n n n n n n n n n n n
actually appears on the back of a mandatory plants and animals declaration form that passengers
n n n n n n n n n n n n n n n
must complete during the incoming flight. A large percentage of passengers complete the visitor
n n n n n n n n n n n n n n
information questionnaire.
n n
4 -3 n n
© 2021 Cengage Learning. All Rights Reserved. n n n n n n
May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
n n n n n n n n n n n n n n n n n n
, c. Questions 1 and 4 provide quantitative data indicating the number of visits and the number of days in
n n n n n n n n n n n n n n n n n
Hawaii. Questions 2 and 3 provide categorical data indicating the categories of reason for the tripand
n n n n n n n n n n n n n n n n n
where the visitor plans to stay.
n n n n n n
13. a. Facebook worldwide advertising revenue. n n n
b. Quantitative
c. Time series n
d. Facebook advertising revenue is increasing at an increasing rate over time.
n n n n n n n n n n
14. a. The graph of the time series follows:
n n n n n n
Hertz Dollar Avis
350
300
250
Cars in Service (1000s)
200
n
150
n
n
100
50
0
Yea r 1 n n Yea r 2 n n Yea r 3 n n Yea r 4 n n
b. In Year 1 and Year 2 Hertz was the clear market share leader. In Year 3 and Year 4 Hertz and Avishave
n n n n n n n n n n n n n n n n n n n n n n
approximately the same market share. The market share for Dollar appears to be declining.
n n n n n n n n n n n n n n
c. The bar chart for Year 4 is shown below.
n n n n n n n n
4 -4n n