MULTIPLE CHOICE
1. In a questionnaire, respondents are asked to mark their gender as male or female. Gender is an example
of the
a. ordinal scale b. nominal scale c. ratio scale d. interval scale
ANS: B PTS: 1 TOP: Descriptive Statistics
2. The nominal scale of measurement has the properties of the
a. ordinal scale
b. only interval scale c. ratio scale
d. None of these alternatives is correct.
ANS: D PTS: 1 TOP: Descriptive Statistics
3. The scale of measurement that is used to rank order the observation for a variable is called the
a. ratio scale b. ordinal scale c. nominal scale d. interval scale
ANS: B PTS: 1 TOP: Descriptive Statistics
4. Some hotels ask their guests to rate the hotel's services as excellent, very good, good, and poor. This is an
example of the a. ordinal scale b. ratio scale c. nominal scale d. interval scale
ANS: A PTS: 1 TOP: Descriptive Statistics
5. The ordinal scale of measurement has the properties of the
a. ratio scale b. interval scale c. nominal scale
d. ratio and interval scales
ANS: C PTS: 1 TOP: Descriptive Statistics
6. The ratio scale of measurement has the properties of
a. only the ordinal scale b. only the nominal scale c. the rank scale d. the interval scale
ANS: D PTS: 1 TOP: Descriptive Statistics
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7. Temperature is an example of a variable that uses
a. the ratio scale b. the interval scale c. the ordinal scale
d. either the ratio or the ordinal scale
ANS: B PTS: 1 TOP: Descriptive Statistics
8. The interval scale of measurement has the properties of the
a. ratio and nominal scales b. ratio and ordinal scales c. ratio scale
d. None of these alternatives is correct.
ANS: D PTS: 1 TOP: Descriptive Statistics
9. Arithmetic operations are inappropriate for
a. the ratio scale b. the interval scale
c. both the ratio and interval scales d. the nominal scale
ANS: D PTS: 1 TOP: Descriptive Statistics
10. Income is an example of a variable that uses the
a. ratio scale b. interval scale c. nominal scale d. ordinal scale
ANS: A PTS: 1
11. Data obtained from a nominal scale
a. must be alphabetic
b. can be either numeric or nonnumeric c. must be numeric
d. must rank order the data
TOP: Descriptive Statistics
ANS: B PTS: 1 TOP: Descriptive Statistics
12. The scale of measurement that has an inherent zero value defined is the
a. ratio scale b. nominal scale c. ordinal scale d. interval scale
ANS: A PTS: 1
13. Arithmetic operations are appropriate for
a. only the ratio scale b. only the interval scale c. the nominal scale
d. None of these alternatives is correct.
TOP: Descriptive Statistics
ANS: D PTS: 1 TOP: Descriptive Statistics
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14. Quantitative data refers to data obtained with a(n)
a. ordinal scale b. nominal scale
c. either interval or ratio scale d. only interval scale
ANS: C PTS: 1 15. Data
a. are always be numeric b. are always nonnumeric
c. are the raw material of statistics d. None of these alternatives is correct.
TOP: Descriptive Statistics
ANS: C PTS: 1 TOP: Descriptive Statistics
16. The entities on which data are collected are
a. elements b. populations c. samples
d. None of these alternatives is correct.
ANS: A PTS: 1 TOP: Descriptive Statistics
17. The set of measurements collected for a particular element is (are) called
a. variables b. observations c. samples
d. None of these alternatives is correct.
ANS: B PTS: 1 TOP: Descriptive Statistics
18. A characteristic of interest for the elements is called a(n)
a. sample b. data set c. variable
d. None of these alternatives is correct.
ANS: C PTS: 1 TOP: Descriptive Statistics
19. All the data collected in a particular study are referred to as the
a. inference b. variable c. data set
d. None of these alternatives is correct.
ANS: C PTS: 1
20. Another name for \"observations\" is
a. views b. variables c. cases
d. None of these alternatives is correct.
TOP: Descriptive Statistics
ANS: C PTS: 1 TOP: Descriptive Statistics
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21. Quantitative data
a. are always nonnumeric
b. may be either numeric or nonnumeric c. are always numeric
d. None of these alternatives is correct.
ANS: C
PTS: 1 TOP: Descriptive Statistics
22. In a questionnaire, respondents are asked to mark their gender as male or female. Gender is an example
of a
a. qualitative variable b. quantitative variable
c. qualitative or quantitative variable, depending on how the respondents answered the
question
d. None of these alternatives is correct.
ANS: A
PTS: 1 TOP: Descriptive Statistics
23. The number of cases will always be the same as the number of
a. variables b. elements c. data sets d. data
ANS: B
PTS: 1 TOP: Descriptive Statistics
24. Qualitative data
a. must be numeric b. must be nonnumeric c. cannot be numeric
d. may be either numeric or nonnumeric
ANS: D
PTS: 1 TOP: Descriptive Statistics
25. Qualitative data
a. indicate either how much or how many b. cannot be numeric
c. are labels used to identify attributes of elements d. must be nonnumeric
ANS: C
PTS: 1 TOP: Descriptive Statistics
26. Ordinary arithmetic operations are meaningful
a. only with qualitative data b. only with quantitative data
c. either with quantitative or qualitative data d. None of these alternatives is correct.
ANS: B
PTS: 1 TOP: Descriptive Statistics
27. Social security numbers consist of numeric values. Therefore, social security is an example of
a. a quantitative variable
b. either a quantitative or a qualitative variable c. an exchange variable d. a qualitative variable
ANS: D PTS: 1 TOP: Descriptive Statistics
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28. Temperature is an example of
a. a qualitative variable b. a quantitative variable
c. either a quantitative or qualitative variable d. neither a quantitative nor qualitative variable
ANS: B PTS: 1 TOP: Descriptive Statistics
29. For ease of data entry into a university database, 1 denotes that the student is an undergraduate and 2
indicates that the student is a graduate student. In this case data are a. qualitative b. quantitative
c. either qualitative or quantitative d. neither qualitative nor quantitative
ANS: A PTS: 1 TOP: Descriptive Statistics
30. Arithmetic operations are inappropriate for
a. qualitative data b. quantitative data
c. both qualitative and quantitative data d. large data sets
ANS: A PTS: 1
31. Income is an example of
a. qualitative data
b. either qualitative or quantitative data c. dollar data
d. quantitative data
TOP: Descriptive Statistics
ANS: D PTS: 1 TOP: Descriptive Statistics
32. Data collected at the same, or approximately the same, point in time are
a. time series data
b. approximate time series data c. crossectional data d. approximate data
ANS: C PTS: 1 TOP: Descriptive Statistics
33. Data collected over several time periods are
a. time series data b. time controlled data c. crossectional data
d. time crossectional data
ANS: A PTS: 1 TOP: Descriptive Statistics
34. Statistical studies in which researchers do not control variables of interest are
a. experimental studies
b. uncontrolled experimental studies c. not of any value d. observational studies
ANS: D PTS: 1 TOP: Descriptive Statistics
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35. Statistical studies in which researchers control variables of interest are
a. experimental studies
b. control observational studies c. non-experimental studies d. observational studies
ANS: A PTS: 1 TOP: Descriptive Statistics
36. The summaries of data, which may be tabular, graphical, or numerical, are referred to as
a. inferential statistics b. descriptive statistics c. statistical inference d. report generation
ANS: B PTS: 1 TOP: Descriptive Statistics
37. Statistical inference
a. refers to the process of drawing inferences about the sample based on the characteristics of
the population
b. is the same as descriptive statistics
c. is the process of drawing inferences about the population based on the information taken
from the sample
d. is the same as a census
ANS: C PTS: 1 TOP: Descriptive Statistics
38. The collection of all elements of interest in a particular study is
a. the population b. the sampling
c. statistical inference d. descriptive statistics
ANS: A PTS: 1 TOP: Descriptive Statistics
39. A portion of the population selected to represent the population is called
a. statistical inference b. descriptive statistics c. a census d. a sample
ANS: D PTS: 1 TOP: Statistical Inference
40. In a sample of 800 students in a university, 240, or 30%, are Business majors. The 30% is an example of
a. a sample b. a population
c. statistical inference d. descriptive statistics
ANS: D PTS: 1 TOP: Descriptive Statistics
41. In a sample of 400 students in a university, 80, or 20%, are Business majors. Based on the above
information, the school's paper reported that \"20% of all the students at the university are Business majors.\" This report is an example of a. a sample
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b. a population
c. statistical inference d. descriptive statistics
ANS: C PTS: 1 TOP: Descriptive Statistics
42. Five hundred residents of a city are polled to obtain information on voting intentions in an upcoming city
election. The five hundred residents in this study is an example of a(n) a. census b. sample c. observation d. population
ANS: B PTS: 1 TOP: Descriptive Statistics
43. A statistics professor asked students in a class their ages. On the basis of this information, the professor
states that the average age of all the students in the university is 24 years. This is an example of a. a census
b. descriptive statistics c. an experiment
d. statistical inference
ANS: D PTS: 1 TOP: Statistical Inference
44. The owner of a factory regularly requests a graphical summary of all employees' salaries. The graphical
summary of salaries is an example of a. a sample
b. descriptive statistics c. statistical inference d. an experiment
ANS: B PTS: 1 TOP: Descriptive Statistics
45. The Department of Transportation of a city has noted that on the average there are 17 accidents per day.
The average number of accidents is an example of a. descriptive statistics b. statistical inference c. a sample d. a population
ANS: A PTS: 1 TOP: Statistical Inference
46. The process of analyzing sample data in order to draw conclusions about the characteristics of a
population is called a. descriptive statistics b. statistical inference c. data analysis
d. data summarization
ANS: B
PTS: 1 TOP: Descriptive Statistics
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47. In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent
a. qualitative data b. quantitative data
c. either qualitative or quantitative data
d. since the numbers are sequential, the data is quantitative
ANS: A
PTS: 1 TOP: Descriptive Statistics
48. The average age in a sample of 190 students at City College is 22. As a result of this sample, it can be
concluded that the average age of all the students at City College
a. must be more than 22, since the population is always larger than the sample b. must be less than 22, since the sample is only a part of the population c. could not be 22
d. could be larger, smaller, or equal to 22
ANS: D
PTS: 1 TOP: Descriptive Statistics
49. Since a sample is a subset of the population, the sample mean
a. is always smaller than the mean of the population b. is always larger than the mean of the population c. must be equal to the mean of the population
d. can be larger, smaller, or equal to the mean of the population
ANS: D
PTS: 1 TOP: Descriptive Statistics
50. The scale of measurement that is simply a label for the purpose of identifying the attribute of an element
is the
a. ratio scale b. nominal scale c. ordinal scale d. interval scale
ANS: B
PTS: 1 TOP: Descriptive Statistics
51. In a data set, the number of elements will always be the same as the number of
a. independent variables b. observations c. data points
d. dependent variables
ANS: B
PTS: 1 TOP: Descriptive Statistics
52. Which of the following is not a scale of measurement?
a. nominal b. ordinal c. interval d. primal
ANS: D
PTS: 1 TOP: Descriptive Statistics
53. Which of the following is a scale of measurement?
a. ratio b. primal c. divisional d. remedial
ANS: A PTS: 1 TOP: Descriptive Statistics
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54. Which scale of measurement can be either numeric or nonnumeric?
a. nominal b. ratio c. interval
d. None of these alternatives is correct.
ANS: A PTS: 1 TOP: Descriptive Statistics
55. Which of the following variables use the ratio scale of measurement?
a. social security number b. temperature c. gender d. income
ANS: D PTS: 1 TOP: Descriptive Statistics
56. The weight of a candy bar in ounces is an example of
a. qualitative data
b. either qualitative or quantitative data c. weight data
d. quantitative data
ANS: D PTS: 1 TOP: Descriptive Statistics
57. The height of a building, measured in feet, is an example of
a. qualitative data
b. either qualitative or quantitative data c. feet data
d. quantitative data
ANS: D PTS: 1 TOP: Descriptive Statistics
58. An interviewer has made an error in recording the data. This type of error is known as
a. an experimental error b. a data acquisition error c. a non-experimental error d. a conglomerate error
ANS: B PTS: 1 TOP: Descriptive Statistics
59. Census refers to
a. an experimental study to collect data on the entire population b. an experimental study to collect data on a sample c. a survey to collect data on a sample
d. a survey to collect data on the entire population
ANS: D PTS: 1 TOP: Descriptive Statistics
60. In experimental studies, the variable of interest
a. is not controlled b. is controlled
c. must be numerical d. cannot be numerical
ANS: B PTS: 1 TOP: Descriptive Statistics
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61. In observational studies, the variable of interest
a. is not controlled b. is controlled
c. must be numerical d. cannot be numerical
ANS: A PTS: 1
62. How many scales of measurement exist?
a. 1 b. 2 c. 3 d. 4
TOP: Descriptive Statistics
ANS: D PTS: 1 TOP: Descriptive Statistics
63. Which of the following can be classified as quantitative data?
a. interval and ordinal b. ratio and ordinal c. nominal and ordinal d. interval and ratio
ANS: D PTS: 1 TOP: Descriptive Statistics
64. The sample size
a. can be larger than the population size b. is always smaller than the population size
c. can be larger or smaller than the population size d. is always equal to the size of the population
ANS: B PTS: 1 TOP: Descriptive Statistics
65. A population is
a. the same as a sample
b. the selection of a random sample
c. the collection of all items of interest in a particular study d. always the same size as the sample
ANS: C PTS: 1 TOP: Descriptive Statistics
66. In a random sample of 200 items, 5 items were defective. An estimate of the percentage of defective
items in the population is a. 5.0% b. 2.5% c. 200 d. 10.0%
ANS: B PTS: 1 TOP: Descriptive Statistics
67. On a street, the houses are numbered from 300 to 450. The house numbers are examples of
a. qualitative data b. quantitative data
c. both quantitative and qualitative data d. neither quantitative nor qualitative data
ANS: A PTS: 1 TOP: Descriptive Statistics
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68. A survey to collect data on the entire population is
a. a census b. a sample c. a population d. an inference
ANS: A PTS: 1 TOP: Descriptive Statistics
69. In Excel, a worksheet that displays the data for the problem and shows the results of the analysis is
a. a formula worksheet b. a value worksheet c. an absolute worksheet d. a descriptive worksheet
ANS: B PTS: 1 TOP: Descriptive Statistics
70. In Excel, a worksheet that displays the formulas used to create the results is a
a. results worksheet b. formula worksheet c. value worksheet d. sample worksheet
ANS: B PTS: 1 TOP: Descriptive Statistics
NARRBEGIN: Exhibit 1-1 Exhibit 1-1
In a recent study based upon an inspection of 200 homes in Daisy City, 80 were found to violate one or more city codes. NARREND
71. Refer to Exhibit 1-1. The city manager released a statement that 40% of Daisy City's 2,000 homes are in
violation of city codes. The manager's statement is an example of a. a census
b. an experiment
c. descriptive statistics d. statistical inference
ANS: D PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-1
72. Refer to Exhibit 1-1. The Daisy City study described above is an example of the use of a
a. census b. sample c. probability d. population
ANS: B PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-1
73. Refer to Exhibit 1-1. The manager's statement that 40% of Daisy City's 2,000 homes are in violation of
city codes is
a. an exactly correct statement
b. only an approximation, since it is based upon sample information
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c. obviously wrong, since it is based upon a study of only 200 homes d. None of these alternatives is correct.
ANS: B PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-1
NARRBEGIN: Exhibit 1-2 Exhibit 1-2
In a sample of 1,600 registered voters, 912, or 57%, approve of the way the President is doing his job. NARREND
74. Refer to Exhibit 1-2. The 57% approval is an example of
a. a sample
b. descriptive statistics c. statistical inference d. a population
ANS: B PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-2
75. Refer to Exhibit 1-2. A political pollster states: \"Fifty-seven percent of all voters approve of the
President.\" This statement is an example of a. a sample
b. descriptive statistics c. statistical inference d. a population
ANS: C PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-2
NARRBEGIN: Exhibit 1-3 Exhibit 1-3
Part of the data bank of a corporation is shown below. Employee Years of Employee Rank Number Gender Department Experience (1 - 10) 23450 Male Accounting 15 10 34568 Female IT 24 7 23123 Female Personnel 20 4 23007 Male Finance 9 1 NARREND
76. Refer to Exhibit 1-3. Employee Number is an example of ________ data.
a. nominal b. ordinal c. interval d. ratio
Yearly Salary $ 52,443.00 $111,239.00 $ 84,473.00 $ 47,519.00
ANS: A PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-3
77. Refer to Exhibit 1-3. Gender is an example of ________ data.
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a. b. c. d.
nominal ordinal interval ratio
PTS: 1
ANS: A
NAR: Exhibit 1-3
TOP: Descriptive Statistics
78. Refer to Exhibit 1-3. Years of Experience is an example of ________ data.
a. nominal b. ordinal c. interval d. ratio
ANS: D
NAR: Exhibit 1-3
PTS: 1
TOP: Descriptive Statistics
79. Refer to Exhibit 1-3. Employee Rank is an example of ________ data.
a. nominal b. ordinal c. interval d. ratio
ANS: B
NAR: Exhibit 1-3
PTS: 1
TOP: Descriptive Statistics
80. Refer to Exhibit 1-3. Yearly Salary is an example of ________ data.
a. nominal b. ordinal c. interval d. ratio
ANS: D
NAR: Exhibit 1-3
PTS: 1
TOP: Descriptive Statistics
NARRBEGIN: Exhibit 1-4 Exhibit 1-4
In many universities, students evaluate their professors by means of answering a questionnaire. Assume a questionnaire is distributed to a class of 45 students. Students are asked to answer the following:
1. Sex
2. Race (Black, White, Other) 3. Age
4. Number of hours completed 5. Grade point average
6. My instructor is a very effective teacher
1
strongly agree
2
moderately agree
3 neutral
4
moderately disagree
5
strongly disagree
NARREND
81. Refer to Exhibit 1-4. How many elements are in the above data set?
a. 5
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b. 6 c. 3 d. 45
ANS: D PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-4
82. Refer to Exhibit 1-4. How many variables are in this data set?
a. 3 b. 4 c. 5 d. 6
ANS: D PTS: 1 TOP: Descriptive Statistics NAR: Exhibit 1-4
83. Refer to Exhibit 4-1. How many observations are in this data set?
a. 5 b. 6 c. 3 d. 45
ANS: D
NAR: Exhibit 1-4
PTS: 1
TOP: Descriptive Statistics
PROBLEM
1. After graduation ceremonies at a university, six graduates were asked whether they were in favor of
(identified by 1) or against (identified by 0) abortion. Some information about these graduates is shown below.
Graduate Sex Age Abortion Issue Class Rank Marissa F 24 1 1 Jason M 22 1 2 Wendy F 41 0 3 Edward M 38 0 20 Jennifer F 25 1 4 Tim M 19 0 8
a. How many elements are in the data set? b. How many variables are in the data set? c. How many observations are in the data set?
d. Which of the above variables (Sex, Age, Abortion Issue, Class rank) are qualitative and which
are quantitative variables?
e. Are arithmetic operations appropriate for the variable \"abortion issue\"?
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ANS: a. 6 b. 4 c. 6
d. Sex: qualitative Age: quantitative Abortion Issue: qualitative Class Rank: qualitative e. No
PTS: 1 TOP: Descriptive Statistics
2. A recent issue of Fortune Magazine reported that the following companies had the lowest sales per
employee among the Fortune 500 companies. Sales per Employee Sales Company (In $1,000s) Rank Seagate Technology 42.20 285 SSMC 42.19 414 Russel 41.99 480 Maxxam 40.88 485 Dibrell Brothers 22.56 470 a. How many elements are in the above data set? b. How many variables are in the above data set? c. How many observations are in the above data set? d. Name the variables and indicate whether they are qualitative or quantitative.
ANS: a. 5 b. 2 c. 5
d. Sales per employee: quantitative; Sales rank: qualitative
PTS: 1 TOP: Descriptive Statistics
3. The following shows the temperatures (high, low) and weather conditions in a given Sunday for some
selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy. City Hi Lo Condition Acapulco 99 77 pc Bangkok 92 78 pc Mexico City 77 57 sh Montreal 72 56 pc Paris 77 58 c Rome 88 68 cl Toronto 78 61 c
a. How many elements are in this data set? b. How many variables are in this data set?
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c. How many observations are in this data set?
d. Name the variables and indicate whether they are qualitative or quantitative.
e. For which variables are arithmetic operations appropriate and for which are they not
appropriate?
ANS: a. 7 b. 3 c. 7
d. Hi: quantitative, Lo: quantitative, Condition: qualitative e. Hi: appropriate, Lo: appropriate, Condition: not appropriate
PTS: 1
TOP: Descriptive Statistics
4. The following data shows the yearly income distribution of a sample of 200 employees at MNM, Inc.
Yearly Income (In $1,000s) 20 - 24 25 - 29 30 - 34 35 - 39 40 - 44
Number of Employees
2 48 60 80 10
a. What percentage of employees has yearly incomes of $35,000 or more?
b. Is the figure (percentage) that you computed in Part a an example of statistical inference? If no,
what kind of statistics does it represent?
c. Based on this sample, the president of the company said that \"45% of all our employees' yearly
incomes are $35,000 or more.\" The president's statement represents what kind of statistics? d. With the statement made in Part c, can we be assured that more than 45% of all employees'
yearly incomes are at least $35,000? Explain.
e. What percentage of employees of the sample has yearly incomes of $29,000 or less? f. How many variables are presented in the above data set?
g. The above data set represents the results of how many observations?
ANS: a. 45%
b. No, it is descriptive statistics. c. statistical inference
d. No, this is simply an inference and approximation based on the sample information. e. 25% f. 2 g. 200
PTS: 1
TOP: Descriptive Statistics
5. A recent issue of a national magazine reported that in a national public opinion survey conducted among
2,000 individuals, 56% were in favor of gun control, 40% opposed gun control, and 4% had no opinion on the subject.
a. What is the sample in this survey?
b. Based on the sample, what percentage of the population would you think is in favor of gun control?
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c. Based on the sample, what percentage of the population would you think have no opinion on the
subject?
ANS:
a. The 2000 individuals who were approached b. 56% c. 4%
PTS: 1
TOP: Descriptive Statistics
6. The following table shows the starting salaries of a sample of recent business graduates.
Income (In $1,000s)
15 - 19 20 - 24 25 - 29 30 - 34 35 - 39
Number of Graduates
40 60 80 18 2
a. What percentage of graduates in the sample had starting salaries of at least $30,000?
b. Of the graduates in the sample, what percentage had starting salaries of less than $25,000?
c. Based on this sample, what percentage of all business graduates do you estimate to have starting
salaries of at least $20,000?
ANS: a. 10% b. 50% c. 80%
PTS: 1
TOP: Descriptive Statistics
7. Michael, Inc., a manufacturer of electric guitars, is a small firm with 50 employees. The table below
shows the hourly wage distribution of the employees.
Hourly Wages (In Dollars)
10 - 13 14 - 17 18 - 21 22 - 25
Number of Employees
8 12 20 10
a. How many employees receive hourly wages of at least $18?
b. What percentage of the employees has hourly wages of at least $18? c. What percentage of the employees has hourly wages of less than $14?
ANS: a. 30 b. 60% c. 16%
PTS: 1
TOP: Descriptive Statistics
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8. The following information regarding the top eight Fortune 500 companies was presented in an issue of
Fortune Magazine.
Company
General Motors Ford Motor
Wal-Mart Stores Exxon
General Electric
Int'l Business Machines Citigroup Philip Morris Boeing AT&T
Sales $ Millions 161,315 144,416 139,208 100,697 100,469 81,667 76,431 57,813 56,154 53,588 Sales Rank 1 2 3 4 5 6 7 8 9 10 Profits $ Millions 2,956 22,071 4,430 6,370 9,269 6,328 5,807 5,372 1,120 6,398 Profits Rank 30 2 14 5 3 6 8 9 82 4
a. b. c. d. e.
How many elements are in the above data set? How many variables are in this data set? How many observations are in this data set?
Which variables are qualitative and which are quantitative variables? What measurement scale is used for each variable?
ANS: a. 10 b. 4 c. 10
d. Sales and Profits are quantitative Sales Rank, and Profits Rank are qualitative e. Sales: ratio Sales Rank: ordinal Profits: ratio Profits Rank: ordinal
PTS: 1
TOP: Descriptive Statistics
9. The following information regarding a sample of seven students is provided.
Student Adam Brandon Jason Marissa Michelle Wendy Webster
Identification number 1234 8978 6578 2345 8901 7789 6780 Grade Point Average 2.89 2.01 3.97 3.98 2.67 4.00 3.77
Classification Senior Junior Freshman Sophomore Senior Senior Freshman
Gender Male Male Male Female Female Female Male Rank in Class 15 25 3 2 18 1 4
a. b. c. d. e.
How many elements are in the above data set? How many variables are in this data set? How many observations are in this data set?
Which variables are qualitative and which are quantitative variables? What measurement scale is used for each variable?
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ANS: a. 7 b. 5 c. 7
d. Grade point average is quantitative. All others are
qualitative.
e. Identification Number: nominal Grade Point Average: ratio Classification: ordinal Gender: nominal Rank in Class: ordinal
PTS: 1 TOP: Descriptive Statistics
10. The following information regarding the ten richest Americans was reported in a recent issue of Forbes.
Name Ranking Worth Age Marital Source ($Billions) Status Gates, William 1 59.0 51 married Microsoft Buffett, Warren 2 52.0 77 married Berkshire Hathaway Adelson, Sheldon 3 28.0 74 married casinos, hotels Ellison, L. J. 4 26.0 63 married Oracle Brin, Sergey 5 18.5 34 married Google Page, Larry 5 18.5 34 single Google Kerkorian, Kirk 7 18.0 90 divorced investments, casinos Dell, Michael 8 17.2 42 married Dell Koch, Charles 9 17.0 71 married oil, commodities Koch, David 9 17.0 67 married oil, commodities a. How many elements are in the above data set? b. How many variables are in this data set? c. How many observations are in this data set?
d. Which variables are qualitative and which are quantitative? e. What measurement scale is used for each variable?
ANS: a. 10 b. 5 c. 10
d. Worth and Age are quantitative Ranking, Marital Status, and Source are qualitative e. Ranking: ordinal Worth: ratio Age: ratio Marital Status: nominal Source: nominal
PTS: 1 TOP: Descriptive Statistics
11. The following national weather report gives the temperatures and weather conditions on the previous
day in cities across the nation.
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold, copied,
or distributed without the prior consent of the publisher.
City Hi Lo Condition Albany, N.Y. 88 60 cloudy Chicago 92 64 clear Dallas-Ft.Worth 89 72 cloudy Denver 75 54 clear Hartford 88 61 cloudy Honolulu 86 70 clear Kansas City 93 74 clear Los Angeles 80 62 cloudy Nashville 94 72 rain New York City 90 69 rain Philadelphia 90 67 rain
a. How many elements are in this data set? b. How many variables are in this data set?
c. How many observations are there in the above data set? d. Which variables are qualitative and which are quantitative?
e. What measurement scale is used for temperature and weather conditions?
ANS: a. 11 b. 3 c. 11
d. Temperature is quantitative Weather Condition is qualitative e. Temperature (Hi and Lo): interval Weather Condition: nominal
PTS: 1 TOP: Descriptive Statistics
12. The following table shows the age distribution of a sample of 180 students at a local college.
AGE DISTRIBUTION OF
180 STUDENTS AT A LOCAL COLLEGE
Age of Students Number of Students 15 - 19 36 20 - 24 44 25 - 29 60 30 - 34 38 35 - 39 2 Total 180
a. Of the students in the sample, what percentage is younger than 20 years of age? b. What percentage is at least 30 years of age?
c. Based on this sample, what percentage of the students at the college do you estimate to be
younger than 25 years of age? ANS: a. 20%
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold, copied,
or distributed without the prior consent of the publisher.
b. 22.22% c. 44.44%
PTS: 1 TOP: Descriptive Statistics
13. The highway patrol is interested in determining the average speed of automobiles traveling on I-75
between Chattanooga and Atlanta. To accomplish this task, the speed of every tenth car passing a particular point on I-75 is recorded.
a. What is the population for this study? b. What constitutes the sample?
c. Is speed a qualitative or a quantitative variable? d. What type of measurement scale is used?
ANS:
a. All the automobiles on I-75 b. All the tenth cars c. quantitative d. ratio
PTS: 1 TOP: Descriptive Statistics
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold, copied,
or distributed without the prior consent of the publisher.
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