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Lecture

# statistics-2_by_keller

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York University

Management

MGMT 1050

all

Winter

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CHAPTER 1
WHAT IS STATISTICS?
SECTIONS 1 - 4
MULTIPLE CHOICE QUESTIONS
In the following multiple-choice questions, please circle the correct answer.
1. You asked five of your classmates about their height. On the basis of this information,
you stated that the average height of all students in your university or college is 65 inches.
This is an example of:
a. descriptive statistics
b. statistical inference
c. parameter
d. population
ANSWER: b
2. A company has developed a new computer sound card, but the average lifetime is
unknown. In order to estimate this average, 200 sound cards are randomly selected from a
large production line and tested and the average lifetime is found to be 5 years. The 200
sound cards represent the:
a. parameter
b. statistic
c. sample
d. population
ANSWER: c
1 2 Chapter One
3. A summary measure that is computed from a sample to describe a characteristic of the
population is called a
a. parameter
b. statistic
c. population
d. sample
ANSWER: b
4. A summary measure that is computed from a population is called a
a. parameter
b. statistic
c. population
d. sample
ANSWER: a
5. When data are collected in a statistical study for only a portion or subset of all elements of
interest, we are using a:
a. sample
b. parameter
c. population
d. statistic
ANSWER: a
6. Which of the following is not the goal of descriptive statistics?
a. Summarizing data
b. Displaying aspects of the collected data
c. Reporting numerical findings
d. Estimating characteristics of the population
ANSWER: d
7. Which of the following statements is not true?
a. One form of descriptive statistics uses graphical techniques
b. One form of descriptive statistics uses numerical techniques
c. In the language of statistics, population refers to a group of people
d. Statistical inference is used to draw conclusions or inferences about
characteristics of populations based on sample data
ANSWER: c
8. Descriptive statistics deals with methods of:
a. organizing data
b. summarizing data
c. presenting data in a convenient and informative way
d. Allof the above
ANSWER: d
9. A politician who is running for the office of governor of a state with 4 million registered
voters commissions a survey. In the survey, 54% of the 5,000 registered voters
interviewed say they plan to vote for her. The population of interest is the: What Is Statistics? 3
a. 4 million registered voters in the state
b. 5,000 registered voters interviewed
c. 2,700 voters interviewed who plan to vote for her.
d. 2,300 voters interviewed who plan not to vote for her
ANSWER: a
10. A company has developed a new battery, but the average lifetime is unknown. In order to
estimate this average, a sample of 500 batteries is tested and the average lifetime of this
sample is found to be 225 hours. The 225 hours is the value of a:
a. parameter
b. statistic
c. sample
d. population
ANSWER: b
11. The process of using sample statistics to draw conclusions about true population
parameters is called
a. inferential statistics
b. the scientific method
c. sampling method
d. descriptive statistics
ANSWER: a
12. Which of the following is most likelya population as opposed to a sample?
a. Respondents to a magazine survey
b. The first 10 students completing a final exam
c. Every fifth student to arrive at the book store on your campus
d. Registered voters in the State of Michigan
ANSWER: d
13. Researchers suspect that the average number of credits earned per semester by college
students is rising. A researcher at Michigan State University (MSU) wished to estimate
the number of credits earned by students during the fall semester of 2003 at MSU. To do
so, he randomly selects 500 student transcripts and records the number of credits each
student earned in the fall term 2003. He found that the average number of semester
credits completed was 14.85 credits per student. The population of interest to the
researcher is
a. all MSU students
b. all college students in Michigan
c. all MSU students enrolled in the fallsemester of 2003
d. all college students in Michigan enrolled in the fallsemester of 2003
ANSWER: c
14. The collection and summarization of the graduate degrees and research areas of interest of
the faculty in the University of Michigan of a particular academic institution is an example
of
a. inferential statistics
b. descriptive statistics 4 Chapter One
c. a parameter
d. a statistic
ANSWER: b
15. Those methods involving the collection, presentation, and characterization of a set of data
in order to properly describe the various features of that set of data are called
a. inferential statistics
b. the scientific method
c. sampling method
d. descriptive statistics
ANSWER: d
16. Which of the following is most likelya parameter as opposed to a statistic?
a. The average score of the first ten students completing an assignment
b. The proportion of females registered to vote in Kent County, Michigan
c. The average height of 100 students randomlyselected from a community
college
d. The proportion of cars stopped yesterday on US 131 that were cited for
speeding
ANSWER: b
17. A study is under way in a national forest to determine the adult height of pine trees.
Specifically, the study is attempting to determine what factors aid a tree in reaching
heights greater than 50 feet tall. It is estimated that the forest contains 32,000 pine trees.
The study involves collecting heights from 500 randomly selected adult pine trees and
analyzing the results. The sample in the study is
a. the 500 randomly selected adult pine trees
b. the 32,000 adult pine trees in the forest
c. all the adult pine trees taller than 50 feet
d. all pine trees, of any age in the forest
ANSWER: a
18. The estimation of the population average student expenditure on education based on the
sample average expenditure of 1,000 students is an example of
a. inferential statistics
b. descriptive statistics
c. a parameter
d. a statistic
ANSWER: a What Is Statistics? 5
TRUE / FALSE QUESTIONS
19. When the purpose of the statistical inference is to draw a conclusion about a population,
the significance level, as a measure of reliability, measures how frequently the conclusion
willbe correct in the long run.
ANSWER: F
20. A summary measure that is computed from a sample to describe a characteristic of the
population is called a statistic.
ANSWER: T
21. The confidence level is the proportion of times that an estimating procedure will be
wrong.
ANSWER: F
22. Conclusions and estimates about a population based on sample data are not always going
to be correct. For this reason measures of reliability, such as the significance level and the
confidence level, should be built into the statistical inference.
ANSWER: T
23. A university employs 2500 faculty and staff. To ascertain how the employees feel
regarding a health insurance plan, 250 of the employees are surveyed. The proportion of
the 250 employees who favor the health insurance plan is a parameter.
ANSWER: F
24. In a sample of 400 students in a college of business, 120 of them or 30% are marketing
majors. The 30% is an example of statistical inference as opposed to descriptive statistics.
ANSWER: F
25. Twenty-five percent of a sample of 200 tennis players indicated that their parents did not
play tennis. Based on this sample, we estimate that the 25% figure holds for the parents of
all professional tennis players. This is an example of descriptive statistics as opposed to
statistical inference.
ANSWER: F
26. A population is the totality of items or things of interest under consideration.
ANSWER: T
27. A local cable system using a sample of 800 subscribers estimates that forty percent of its
subscribers watch premium channel at most four times a week. This is an example of
statistical inference as opposed to descriptive statistics
ANSWER: T
28. A statistic is usually unobservable while a parameter is usually observable.
ANSWER: F 6 Chapter One
29. Statistical inference is the process of making an estimate, prediction, or decision about a
population based on sample data.
ANSWER: T
30. A summary measure that is computed from a population is called a parameter.
ANSWER: T
31. A sample is the portion of the universe that is selected for analysis and making inferences
about the population from which the sample is selected.
ANSWER: T
32. As a population becomes large, it is usually better to obtain statistical information from the
entire population.
ANSWER: F
33. A statistic is usuallyused to provide an estimate for a usuallyunobserved parameter.
ANSWER: T
34. A sample is always a good representation of the target population.
ANSWER: F
35. Estimating characteristics of the population is the main goal of descriptive statistics.
ANSWER: F What Is Statistics? 7
STATISTICAL CONCEPTS & APPLIED QUESTIONS
36. In statistics, what name do we give to a numerical characteristic of a sample?
ANSWER:
Statistic
37. In statistics, what name do we give to a numerical characteristic of a population?

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