Statistics Final Exam/ 135 Qs with Definitive
Solutions.
A large state university conducted a survey among their students and received 400 responses.
The survey asked the students to provide the following information:
*Age
*Year in School (Freshman, Sophomore, Junior, Senior)
*Major
What type of graph would you use to describe the variable Major? - Answer: A bar chart
because Major is a categorical variable.
Parking at a university has become a problem. University administrators are interested in
determining the average time it takes a student to find a parking spot. An administrator
inconspicuously followed 180 students and recorded how long it took each of them to find a
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,parking spot. Which of the following types of graphs should NOT be used to display information
concerning the students parking times? - Answer: pie chart
A large state university conducted a survey among their students and received 300 responses.
The survey asked the students to provide the following information: * Age* Year in School
(Freshman, Sophomore, Junior, Senior) * Gender* GPA - Answer: A histogram because Age is a
numerical variable.
The two histograms below display the exact same data. How do the plots differ? - Answer:
Histogram (i) uses relative frequencies to show the proportion of observations at a given value.
Histogram (ii) uses frequencies to simply count the number of observations at a given value.
In a survey, high school graduates were asked "Did you play sports in high school?" The
response was electronically recorded as a "1" for yes and a "0" for no. This is an example of . -
Answer: coded categorical data
In a survey, married couples were asked, "Do you have children?" The response was
electronically recorded as a "1" for yes and a "0" for no. This is an example of . - Answer: Coded
categorical data
In a study of 900 adults, 45 out of the 325 men in the study said that they preferred to rent a
movie on DVD rather than going out to a movie theater.What is the approximate percentage of
men in this study who prefer to rent a movie on DVD? - Answer: 13.8%
In a study of 1350 elementary school children, 118 out of the 615 girls in the study said they
want to be a teacher when they grow up.What percent of girls want to be a teacher when they
grow up? - Answer: 19.2%
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, The histogram below shows the distribution of pass rates on a swimming test taken by all
children who completed a four week summer swim course at the local YMCA. What is the
typical pass rate for the swim test? - Answer: about 75%
Marital status of each member of a randomly selected group of adults is an example of what
type of variable? - Answer: categorical variable
The number of parents who attended parent teacher conferences at a local elementary school is
an example of what type of variable? - Answer: numerical variable
A group of 500 patients who suffer from hypothyroidism, a condition in which your thyroid does
not produce enough of certain hormones, were asked to participate in a study to determine the
effectiveness of a new medication. The patients were randomly divided into two groups, one
that was given the actual medication, and one that received a placebo pill. The results of the
study are below.
Was the new medication effective in treating hypothyroidism? - Answer: Yes, a higher percent
of patients who took the medication had improved symptoms than the patients who took the
placebo.
Which of the following would likely show a bimodal distribution in a histogram? - Answer: The
heights of all students in a high school band.
A doctor is interested in determining whether a certain medication increases the risk of high
blood pressure. He reviews his patients' medical records and finds that a higher proportion of
people who take the medication are suffering from high blood pressure. - Answer:
observational study
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Solutions.
A large state university conducted a survey among their students and received 400 responses.
The survey asked the students to provide the following information:
*Age
*Year in School (Freshman, Sophomore, Junior, Senior)
*Major
What type of graph would you use to describe the variable Major? - Answer: A bar chart
because Major is a categorical variable.
Parking at a university has become a problem. University administrators are interested in
determining the average time it takes a student to find a parking spot. An administrator
inconspicuously followed 180 students and recorded how long it took each of them to find a
Page 1 of 26
,parking spot. Which of the following types of graphs should NOT be used to display information
concerning the students parking times? - Answer: pie chart
A large state university conducted a survey among their students and received 300 responses.
The survey asked the students to provide the following information: * Age* Year in School
(Freshman, Sophomore, Junior, Senior) * Gender* GPA - Answer: A histogram because Age is a
numerical variable.
The two histograms below display the exact same data. How do the plots differ? - Answer:
Histogram (i) uses relative frequencies to show the proportion of observations at a given value.
Histogram (ii) uses frequencies to simply count the number of observations at a given value.
In a survey, high school graduates were asked "Did you play sports in high school?" The
response was electronically recorded as a "1" for yes and a "0" for no. This is an example of . -
Answer: coded categorical data
In a survey, married couples were asked, "Do you have children?" The response was
electronically recorded as a "1" for yes and a "0" for no. This is an example of . - Answer: Coded
categorical data
In a study of 900 adults, 45 out of the 325 men in the study said that they preferred to rent a
movie on DVD rather than going out to a movie theater.What is the approximate percentage of
men in this study who prefer to rent a movie on DVD? - Answer: 13.8%
In a study of 1350 elementary school children, 118 out of the 615 girls in the study said they
want to be a teacher when they grow up.What percent of girls want to be a teacher when they
grow up? - Answer: 19.2%
Page 2 of 26
, The histogram below shows the distribution of pass rates on a swimming test taken by all
children who completed a four week summer swim course at the local YMCA. What is the
typical pass rate for the swim test? - Answer: about 75%
Marital status of each member of a randomly selected group of adults is an example of what
type of variable? - Answer: categorical variable
The number of parents who attended parent teacher conferences at a local elementary school is
an example of what type of variable? - Answer: numerical variable
A group of 500 patients who suffer from hypothyroidism, a condition in which your thyroid does
not produce enough of certain hormones, were asked to participate in a study to determine the
effectiveness of a new medication. The patients were randomly divided into two groups, one
that was given the actual medication, and one that received a placebo pill. The results of the
study are below.
Was the new medication effective in treating hypothyroidism? - Answer: Yes, a higher percent
of patients who took the medication had improved symptoms than the patients who took the
placebo.
Which of the following would likely show a bimodal distribution in a histogram? - Answer: The
heights of all students in a high school band.
A doctor is interested in determining whether a certain medication increases the risk of high
blood pressure. He reviews his patients' medical records and finds that a higher proportion of
people who take the medication are suffering from high blood pressure. - Answer:
observational study
Page 3 of 26
