Question 1

TABLE 2-2
At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer.
 $$\begin{array} { r r } 
\ { X } & f \
\hline \hline 1 & 7 \
2 & 5 \
3 & 11 \
4 & 8 \
5 & 9
\end{array}$$
-The width of each bar in a histogram corresponds to the
A) differences between the boundaries of the class.
B) number of observations in each class.
C) midpoint of each class.
D) percentage of observations in each class.

Accepted Answer

The width of each bar in a histogram corresponds to the differences between the boundaries of the class, which is essentially the range of values within each class interval.

Question 2

TABLE 2-1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results.
$$\begin{array} { r r } 
 { X } & f \
\hline 1 & 14 \
2 & 18 \
3 & 12 \
4 & 5 \
5 & 1
\end{array}$$

-Referring to Table 2-1, how many total claims are represented in the sample?
A) 15
B) 50
C) 111
D) 250

Accepted Answer

C

Question 3

Which of the 4 methods of data collection is involved when a person counts the number of cars passing designated locations on the Los Angeles freeway system?
A) Published sources
B) Experimentation
C) Surveying
D) Observation

Accepted Answer

The method involved when a person counts the number of cars passing designated locations on the Los Angeles freeway system is observation, as they are directly watching and recording data without any intervention or preconceived questions.

Question 4

TABLE 2-2
At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer.
 $$\begin{array} { r r } 
\ { X } & f \
\hline \hline 1 & 7 \
2 & 5 \
3 & 11 \
4 & 8 \
5 & 9
\end{array}$$
-Referring to Table 2-2, how many regional offices are represented in the survey results?
A) 5
B) 11
C) 15
D) 40

Accepted Answer

The answer of TABLE 2-2
At a meeting of information systems...

Question 5

TABLE 2-1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results.
$$\begin{array} { r r } 
 { X } & f \
\hline 1 & 14 \
2 & 18 \
3 & 12 \
4 & 5 \
5 & 1
\end{array}$$

-Referring to Table 2-1, how many drivers are represented in the sample?
A) 5
B) 15
C) 18
D) 50

Accepted Answer

The answer of TABLE 2-1
An insurance company evaluates many numerical...

Question 6

When constructing charts, the following is plotted at the class midpoints:
A) frequency histograms.
B) percentage polygons.
C) cumulative percentage polygon (ogives).
D) All of the above.

Accepted Answer

All of the above options are plotted at class midpoints when constructing charts. Frequency histograms show the frequency distribution of a data set, percentage polygons depict the percentage distribution, and cumulative percentage polygon (ogives) show the cumulative percentage distribution. Plotting at class midpoints ensures the data is accurately represented and the chart is easier to interpret.

Question 7

TABLE 2-3
Every spring semester, the School of Business coordinates a luncheon with local business leaders for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each graduating senior invited to the luncheon and f is the number of graduating seniors in each category.
 
-Referring to the histogram from Table 2-3, how many graduating seniors attended the luncheon?
A) 4
B) 152
C) 275
D) 388

Accepted Answer

To determine the total number of graduating seniors who attended the luncheon, we need to add up the total number of seniors in each category. Looking at the histogram, we can see that the number of seniors in each category is given by the frequency (f) column. Adding up the frequencies for each category, we get:

f(0) + f(1) + f(2) + f(3) + f(4) + f(5) = 10 + 23 + 43 + 54 + 26 + 5 = 161

However, we have to remember that the corporate sponsorship pays for the lunches of each senior, so we need to subtract the 9 seniors who didn't bring any guests. Therefore, the total number of graduating seniors who attended the luncheon is:

161 - 9 = 152

Therefore, the best choice is (C).

Question 8

A study attempted to estimate the proportion of Florida residents who were willing to spend more tax dollars on protecting the beaches from environmental disasters. Twenty-five hundred Florida residents were surveyed. What type of data collection procedure was most likely used to collect the data for this study?
A) A designed experiment
B) A published source
C) A random sample
D) Observational data

Accepted Answer

A random sample was most likely used to collect the data for this study as it would provide a representative sample of the Florida population and reduce bias in the findings. A designed experiment would involve manipulating a variable to see its effect on the response, but that doesn't seem to be the case here. A published source would involve using existing data from a published article or report, but it's not mentioned in the question. Observational data would involve simply observing and recording data without any intervention, but there is no indication of that in the question.

Question 9

A marketing research firm, in conducting a comparative taste test, provided three types of peanut butter to a sample of households randomly selected within the state. Which of the 4 methods of data collection is involved when people are asked to compare the three types of peanut butter?
A) Published sources
B) Experimentation
C) Surveying
D) Observation

Accepted Answer

The comparative taste test involves an experiment where participants are asked to compare the three types of peanut butter. The marketing research firm is trying to determine which type of peanut butter is preferred by the participants. Therefore, experimentation is the best choice for this method of data collection.

Question 10

The personnel director at a large company studied the eating habits of the company's employees. The director noted whether employees brought their own lunches to work, ate at the company cafeteria, or went out to lunch. The goal of the study was to improve the food service at the company cafeteria. This type of data collection would best be considered as
A) an observational study.
B) a designed experiment.
C) a random sample.
D) a quota sample.

Accepted Answer

The personnel director is simply observing and recording the existing eating habits of the company's employees, rather than manipulating or controlling any variables. Therefore, this would be considered an observational study rather than a designed experiment. Random sampling and quota sampling are methods of selecting participants for a study and are not relevant to the type of data collection being conducted in this scenario.

Question 11

The British Airways Internet site provides a questionnaire instrument that can be answered electronically. Which of the 4 methods of data collection is involved when people complete the questionnaire?
A) Published sources
B) Experimentation
C) Surveying
D) Observation

Accepted Answer

The method of data collection involved when people complete the questionnaire on the British Airways internet site is surveying. The questionnaire is a set of pre-determined questions that are meant to gather information from respondents. In this case, respondents are answering the questions electronically, making it an online survey method.

Question 12

TABLE 2-2
At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer.
 $$\begin{array} { r r } 
\ { X } & f \
\hline \hline 1 & 7 \
2 & 5 \
3 & 11 \
4 & 8 \
5 & 9
\end{array}$$
-Referring to Table 2-2, across all of the regional offices, how many total employees were supervised by those surveyed?
A) 15
B) 40
C) 127
D) 200

Accepted Answer

To find the total number of employees supervised by those surveyed, we need to multiply the number of employees overseen by each officer (X) by the frequency of that number of employees (f), then add up the results for all values of X.

Total number of employees = (1*7) + (2*5) + (3*11) + (4*8) + (5*9) = 7 + 10 + 33 + 32 + 45 = 127

Therefore, the best choice is (C), 127.

Question 13

When polygons or histograms are constructed, which axis must show the true zero or "origin"?
A) The horizontal axis
B) The vertical axis
C) Both the horizontal and vertical axes
D) Neither the horizontal nor the vertical axis

Accepted Answer

The vertical axis must show the true zero or "origin" because it represents the quantity or magnitude being measured. The horizontal axis is typically used for categories or intervals, and may not have a true zero point.

Question 14

Tim was planning for a meeting with his boss to discuss a raise in his annual salary. In preparation, he wanted to use the Consumer Price Index to determine the percentage increase in his real (inflation-adjusted)salary over the last three years. Which of the 4 methods of data collection was involved when he used the Consumer Price Index?
A) Published sources
B) Experimentation
C) Surveying
D) Observation

Accepted Answer

The Consumer Price Index is a published source that measures the average change in prices of goods and services over time. Tim would use this index to adjust his salary for inflation over the past three years.

Question 15

TABLE 2-1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results.
$$\begin{array} { r r } 
 { X } & f \
\hline 1 & 14 \
2 & 18 \
3 & 12 \
4 & 5 \
5 & 1
\end{array}$$

-A type of vertical bar chart in which the categories are plotted in the descending rank order of the magnitude of their frequencies is called a
A) contingency table.
B) Pareto chart.
C) stem-and-leaf display.
D) pie chart.

Accepted Answer

The description given in the problem fits the definition of a Pareto chart, where the categories are plotted in descending order of frequency. A contingency table is a table used to display the frequency distribution of two categorical variables, a stem-and-leaf display is used to display the distribution of a single quantitative variable, and a pie chart is used to display relative proportions of a whole.

Question 16

A statistics student found a reference in the campus library that contained the median family incomes for all 50 states. She would report her data as being collected using
A) a designed experiment.
B) observational data.
C) a random sample.
D) a published source.

Accepted Answer

The data was collected from a published source, so it is observational data.

Question 17

A professor of economics at a small Texas university wanted to determine what year in school students were taking his tough economics course. Shown below is a pie chart of the results. What percentage of the class took the course prior to reaching their senior year? 
A) 14%
B) 44%
C) 54%
D) 86%

Accepted Answer

The answer of A professor of economics at a small...

Question 18

TABLE 2-4
A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.
 $$\begin{array} { l l } 
 { \text { Stem } } & \text { Leaves } \
\hline\hline 3 & 24 \
4 & 03478999 \
5 & 0112345 \
6 & 12566 \
7 & 01 \
8 & \
9 & 2
\end{array}$$
-Referring to Table 2-4, what percentage of the respondents rated overall television quality with a rating of 80 or above?
A) 0
B) 4
C) 96
D) 100

Accepted Answer

The answer of TABLE 2-4
A survey was conducted to determine...

Question 19

Jared was working on a project to look at global warming and accessed an Internet site where he captured average global surface temperatures from 1866. Which of the four methods of data collection was he using?
A) Published sources
B) Experimentation
C) Surveying
D) Observation

Accepted Answer

Jared was using published sources as his method of data collection by accessing an Internet site to gather historical temperature data.

Question 20

TABLE 2-3
Every spring semester, the School of Business coordinates a luncheon with local business leaders for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each graduating senior invited to the luncheon and f is the number of graduating seniors in each category.
 
-Referring to the histogram from Table 2-3, if all the tickets purchased were used, how many guests attended the luncheon?
A) 4
B) 152
C) 275
D) 388

Accepted Answer

The answer of TABLE 2-3
Every spring semester, the School of...

Quiz 2: Organizing and Visualizing Data

Which of the 4 methods of data collection is involved when a person counts the number of cars passing designated locations on the Los Angeles freeway system?

When constructing charts, the following is plotted at the class midpoints:

A marketing research firm, in conducting a comparative taste test, provided three types of peanut butter to a sample of households randomly selected within the state. Which of the 4 methods of data collection is involved when people are asked to compare the three types of peanut butter?

The British Airways Internet site provides a questionnaire instrument that can be answered electronically. Which of the 4 methods of data collection is involved when people complete the questionnaire?

When polygons or histograms are constructed, which axis must show the true zero or "origin"?

A statistics student found a reference in the campus library that contained the median family incomes for all 50 states. She would report her data as being collected using

A professor of economics at a small Texas university wanted to determine what year in school students were taking his tough economics course. Shown below is a pie chart of the results. What percentage of the class took the course prior to reaching their senior year?

Jared was working on a project to look at global warming and accessed an Internet site where he captured average global surface temperatures from 1866. Which of the four methods of data collection was he using?