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TESTBANK FOR Probability and Statistics 10th Edition Ellingson

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TESTBANK FOR Probability and Statistics 10th Edition Ellingson

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, TESTBANK FOR Probability and Statistics 10th Edition Ellingson

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,Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

1. A What type of study is described when an experiment is conducted to analyze how the flow rate through a solenoid
valve in an automobile's pollution-control system depends on three factors: armature lengths, spring load, and bobbin
depth, with two different levels (low and high) for each factor?
a. Descriptive Study
b. Experimental Study
c. Qualitative Study
d. Analytic Study

ANSWER: d
2. A sample of n = 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no
visible damage by S (for success) and a car with such damage by F, results were as follows: S S S F F S S F S S.
What is the value of the sample proportion of successes x/n?
a. 5/10 = .50
b. 6/10 = .60
c. 7/10 = .70
d. 8/10 = .80

ANSWER: c
3. True/False: A population includes every member of a defined group, while a sample consists of only a portion of that
group.
a. True
b. False

ANSWER: True
4. Which statement correctly defines a sample in the context of research studies?
a. Only groups of individuals being studied
b. A subset of the population
c. All of the subsets in a given population
d. Selected individuals in a study

ANSWER: b
5. What is the primary purpose of using a sample instead of a population in research?
a. To minimize the time and resources needed for data collection
b. To gather data from every individual
c. To make studying more manageable and cost-effective
d. To ensure complete accuracy in the findings

ANSWER: c




Copyright Cengage Learning. Powered by Cognero. Page 1

,Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

6. True/False: A hypothetical population refers to a group that cannot be directly observed or measured.
a. True
b. False

ANSWER: True
7. Which is an example of a concrete population?
a. All the students currently enrolled in a school
b. All potential voters in an upcoming election
c. All possible outcomes of a dice roll
d. All the people who have ever lived

ANSWER: a
8. In research, which statement is true regarding a hypothetical population?
a. It is always measurable.
b. It exists only in theory.
c. It includes all known individuals.
d. It can be accurately sampled.

ANSWER: b
9. True/False: A convenience sample is one of the best ways to ensure a representative sample of a population.
a. True
b. False

ANSWER: False
10. Which is a recognized type of sampling method?
a. Random sampling
b. Stratified sampling
c. Purposive sampling
d. Randomized control trial

ANSWER: a
11. What is the main advantage of using stratified sampling?
a. It ignores the population's diversity.
b. It ensures every subgroup is represented.
c. It is the quickest method available.
d. It relies on convenience.

ANSWER: b




Copyright Cengage Learning. Powered by Cognero. Page 2

,Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

12. True/False: True or False: Inferential statistics allow researchers to draw conclusions about a population based on the
analysis of sample data.
a. True
b. False

ANSWER: True
13. What is the relationship between probability and inferential statistics?
a. Probability has no role in inferential statistics.
b. Inferential statistics relies on probability to make predictions.
c. Inferential statistics is not applicable to sample data.
d. Probability is primarily utilized in descriptive statistics.

ANSWER: b
14. If a sample is randomly selected, what can be inferred about the population?
a. It may contain biases that affect the results.
b. It provides a reliable estimate of the population parameters.
c. It is less useful for drawing conclusions about the population than a non-random sample.
d. It can give insights into the characteristics of the population.

ANSWER: b
15. True/False: An analytical study focuses on understanding relationships and causal effects between variables, while an
enumerative study primarily counts and describes characteristics of a population.
a. True
b. False

ANSWER: True
16. Which describes an enumerative study?
a. Evaluates the cause-and-effect relationship
b. Provides a count or description of a population
c. Tests a hypothesis
d. Involves manipulating variables

ANSWER: b
17. Which type of study would likely examine the factors influencing student performance?
a. Enumerative
b. Analytical
c. Descriptive
d. Experimental

ANSWER: b


Copyright Cengage Learning. Powered by Cognero. Page 3

,Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

18. True/False: When analyzing a population, using stratified sampling can lead to more accurate representations of
subgroups compared to simple random sampling, as it ensures that each subgroup is adequately represented in the
sample.
a. True
b. False

ANSWER: True
19. Which represents a sampling method used in research?
a. Stratified sampling
b. Quota sampling
c. Observational study
d. Randomized control trial

ANSWER: b
20. What is the main disadvantage of convenience sampling?
a. It is time-consuming.
b. It may not be representative of the population.
c. It is overly complex.
d. It is the most expensive method.

ANSWER: b
21. True/False: Analyzing a stem-and-leaf plot allows you to determine not only the shape of the data distribution but also
to identify patterns such as outliers, gaps, and the overall spread of the data.
a. True
b. False

ANSWER: True
22. In a stem-and-leaf plot, what does the "stem" represent?
a. The last digit of the data values
b. The leading digits of the data values
c. The frequency of the data values
d. The total number of data values

ANSWER: b
23. What can you determine from a stem-and-leaf plot?
a. The mode of the dataset
b. The individual data points of the dataset
c. The total number of data points in the dataset
d. The mean of the dataset

ANSWER: a

Copyright Cengage Learning. Powered by Cognero. Page 4

,Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

24. True/False: A stem-and-leaf plot can be used to display both the shape and the frequency of a dataset.
a. True
b. False

ANSWER: True
25. Which of the following datasets can be represented using a stem-and-leaf plot?
a. {10, 12, 13, 15}
b. {1.5, 2.5, 3.5, 4.5}
c. {5, 8, 10, 12.5}
d. {-5, 8, 1.10, 12.5}

ANSWER: a
26. When constructing a stem-and-leaf plot for the data {22, 23, 25, 30, 31}, the "stem" for the number 22 would
be________.
a. 2
b. 22
c. 3
d. 25

ANSWER: a
27. True/False: A dotplot displays individual data points as dots above a number line.
a. True
b. False

ANSWER: True
28. In a dotplot, multiple dots stacked above a number indicate what?
a. The number appears once in the dataset
b. The number appears multiple times in the dataset
c. The number is the highest value
d. The number is the lowest value

ANSWER: b
29. What does a dotplot help you visualize?
a. The mean of the data
b. The distribution of the data
c. The median of the data
d. The total sum of the data

ANSWER: b




Copyright Cengage Learning. Powered by Cognero. Page 5

,Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

30. True/False: The number of students in a classroom is an example of continuous data.
a. True
b. False

ANSWER: False
31. Which is an example of discrete data?
a. Height of students
b. Distance traveled
c. Number of cars in a parking lot
d. Weight of a person

ANSWER: c
32. Which statement best describes continuous data?
a. It can only take on specific values.
b. It can take on any value within a range.
c. It is always a whole number.
d. It cannot be measured.

ANSWER: b
33. True/False: A histogram displays the frequency of data within specified intervals.
a. True
b. False

ANSWER: True
34. In a histogram, what does the height of each bar represent?
a. The total number of data points
b. The frequency of data points within that interval
c. The average of the data
d. The minimum value of the data

ANSWER: b
35. What does a histogram allow you to visualize?
a. The relationship between two variables
b. The distribution of data across different intervals
c. The exact values of each data point
d. The mode of the dataset

ANSWER: b




Copyright Cengage Learning. Powered by Cognero. Page 6

,Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

36. True/False: A histogram can be used to represent categorical data.
a. True
b. False

ANSWER: False
37. When constructing a histogram for continuous data, what should you do?
a. Use individual data points as bars
b. Group data into intervals
c. Use letters instead of numbers
d. Display only the highest value

ANSWER: b
38. Which type of data is best represented by a histogram?
a. Continuous
b. Categorical
c. Nominal
d. Discrete

ANSWER: a
39. True/False: A distribution with two peaks is classified as unimodal.
a. True
b. False

ANSWER: False
40. Which describes a bimodal distribution?
a. A distribution with one peak
b. A distribution with two peaks
c. A distribution with no peaks
d. A distribution with more than two peaks

ANSWER: b
41. How can you determine if a distribution is multimodal?
a. Count the number of peaks in the distribution
b. Calculate the mean of the data
c. Measure the range of the data
d. Analyze the individual data points

ANSWER: a




Copyright Cengage Learning. Powered by Cognero. Page 7

, Name: Class: Date:

Chapter 01 - Overview and Descriptive Statistics

42. True/False: A symmetric distribution has equal tails on both sides of the mean.
a. True
b. False

ANSWER: True
43. If a distribution has a longer tail on the left side, it is classified as what?
a. Symmetric
b. Positively skewed
c. Negatively skewed
d. Unimodal

ANSWER: c
44. What does it mean if a distribution is positively skewed?
a. The majority of data points are concentrated on the left side.
b. The majority of data points are concentrated on the right side.
c. The distribution has no peaks.
d. The distribution is perfectly symmetric.

ANSWER: a
45. True/False: The sample mean is always equal to the sample median.
a. True
b. False

ANSWER: False
46. What is the primary numerical measure used to describe the center of a dataset?
a. Mode
b. Mean
c. Range
d. Variance

ANSWER: b
47. Which is a measure that represents variability rather than central tendency?
a. Mean
b. Median
c. Standard Deviation
d. Mode

ANSWER: c




Copyright Cengage Learning. Powered by Cognero. Page 8

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