Question 1

A six-sided die is rolled to simulate a nine-hole round of golf .

$\begin{array} { | l | l | } 
\hline \text { Roll } & \text { Score } \
\hline 1 & \text { Hole-in-one } \
\hline 2 & \text { Eagle } \
\hline 3 & \text { Birdie } \
\hline 4 & \text { Par } \
\hline 5 & \text { Bogey } \
\hline 6 & \text { Double-Bogey } \
\hline
\end{array}$

Given that the following nine numbers were rolled, on how many holes did the golfer make par or better (hole-in-one, eagle, birdie, or par):
$3,1,1,4,6,5,2,3,6$
A) 3
B) 4
C) 5
D) 6

Accepted Answer

The answer of A six-sided die is rolled to simulate...

Question 2

A six-sided die is used to simulate the favourite ice cream flavours for a simulated series of customers .
$\begin{array}{|c|c|}
\hline \text { Roll } & \text { Flavout } \
\hline 1 & \text { Vanilla } \
\hline 2 & \text { Vanilla } \
\hline 3 & \text { Chocolate } \
\hline 4 & \text { Chocolate } \
\hline 5 & \text { Strawberry } \
\hline 6 & \text { Mint Chocolate Chip } \
\hline
\end{array}$

Given that the following eight numbers were rolled, how many customers had the same favourite flavour as the person just in front of him?
25436222
A) 1
B) 2
C) 3
D) 4

Accepted Answer

Starting from the left, the sequence of flavours rolled is Vanilla-Chocolate-Strawberry-Mint Chocolate Chip-Vanilla-Vanilla-Chocolate-Chocolate. Comparing each customer's flavour to the one directly in front of them, we see that there are 3 pairs with the same flavour: the 2nd and 3rd customers both chose Vanilla, the 5th and 6th customers both chose Vanilla, and the 7th and 8th customers both chose Chocolate. Therefore, the answer is (C) 3.

Question 3

In _________________, which is used in quality control, successive units taken from production lines are
sampled to ensure that the products meet certain standards set by the manufacturing company. 
________________________________________

Accepted Answer

The answer of In _________________, which is used in quality...

Question 4

Why would researchers want to use a simulation rather than study an actual situation?
A) The actual situation may be too costly.
B) The actual situation may be too dangerous.
C) The actual situation may be too time-consuming.
D) All of the above

Accepted Answer

Researchers may want to use a simulation instead of studying an actual situation because it could be too costly, too dangerous, or too time-consuming. By using a simulation, researchers can control variables, quickly conduct multiple experiments, and reduce risk and expense.

Question 5

A flip of a fair coin is used to simulate the gender of a series of simulated students.
$\begin{array}{|c|c|}
\hline \text { Flip } & \text { Gender } \
\hline \mathrm{H} & \text { Female } \
\hline \mathrm{T} & \text { Male } \
\hline
\end{array}$

Given the following four flips, how many female students were there? H T T T
A) 1
B) 2
C) 3
D) 4

Accepted Answer

There is only one H (heads) flip, which corresponds to a female student. Therefore, there is one female student.

Question 6

A sample is said to be ______________ if it is a good representation of the population. 
________________________________________

Accepted Answer

The answer of A sample is said to be ______________...

Question 7

A flip of a fair coin is used to simulate the sizes of a series of simulated
shirts.
$\begin{array}{|c|c|}
\hline \text { Flip } & \text { Size } \
\hline \mathrm{H} & \text { Medium } \
\hline \mathrm{T} & \text { Extra-Large } \
\hline
\end{array}$

Given the following six flips, how many extra-large shirts were there?
H T T T H T
A) 1
B) 2
C) 3
D) 4

Accepted Answer

The answer of A flip of a fair coin is...

Question 8

Sampling differs from simulation in that
A) Sampling uses data from computer-generated situations while simulation uses real-life data
B) Sampling uses real-life data while simulation uses data from surveys and questionnaires
C) Sampling uses data from surveys and questionnaires while simulation uses data gathered from real-life observation
D)Sampling uses data gathered from real-life observation while simulation uses data from computer- generated situations

Accepted Answer

Sampling involves selecting a subset of individuals from a larger population and collecting data from them, which is gathered through real-life observation. Simulation, on the other hand, involves using computer-generated models to predict outcomes based on hypothetical scenarios. Therefore, the correct choice is D, which states that sampling uses data gathered from real-life observation while simulation uses data from computer-generated situations.

Question 9

Which of the following examples of a survey question is meant to bias the response?
A) "Are you in favour of using photo radar on Toronto streets?"
B) "Should drivers be allowed to turn right at red traffic lights?"
C)"Should the federal government introduce mandatory retirement at 60 years of age so as to remove incompetent bureaucrats?"
D) "Will you vote in the next provincial election?"

Accepted Answer

The question in option C is phrased in a way that suggests that bureaucrats over the age of 60 are incompetent, which is a biased statement. The other options are neutral and do not suggest a particular answer.

Question 10

A six-sided die is used to simulate the favourite ice cream flavours for a simulated series of
$\begin{array}{|c|c|}
\hline \text { Roll } & \text { Flavour } \
\hline 1 & \text { Vanilla } \
\hline 2 & \text { Vanilla } \
\hline 3 & \text { Chocolate } \
\hline 4 & \text { Chocolate } \
\hline 5 & \text { Strawberry } \
\hline 6 & \text { Mint Chocolate Chip } \
\hline
\end{array}$

customers.
Given that the following five numbers were rolled, how many customers had chocolate as their favourite flavour?
A) 1
B) 2
C) 3
D) 4

Accepted Answer

Out of the five rolls given, there are two rolls with chocolate as the flavour (rolls 3 and 4). Therefore, there were two customers with chocolate as their favourite flavour.

Question 11

What is the basic simulation technique called?
A) ANOVA
B) Monte Carlo method
C) stratified sampling
D) multistage sampling

Accepted Answer

The basic simulation technique is called the Monte Carlo method, which involves using random sampling to generate a large number of scenarios in order to estimate the probability of various outcomes. ANOVA, stratified sampling, and multistage sampling are all different statistical techniques that do not necessarily involve simulation.

Question 12

A(n) ______________ is a sample obtained by dividing the population into subgroups, according to
various homogeneous characteristics and then selecting members from each homogeneous group for the
sample. 
________________________________________

Accepted Answer

The answer of A(n) ______________ is a sample obtained by...

Question 13

A researcher is using a random number table to pick between two groups labelled X and Y. X is to be chosen with a probability of $5 / 7$ and Y with a probability of $2 / 7$ The researcher assigns the digits {1, 2, 3,
4, 5} to X and the digits {6, 7} to Y. The researcher uses this section of a random number table: $$6943047639$$ What are the first and second choices?
A) The first choice is X and the second choice is X
B) The first choice is X and the second choice is Y
C) The first choice is Y and the second choice is X
D) The first choice is Y and the second choice is Y

Accepted Answer

The first digit is 6, which is assigned to Y, and the second digit is 9, which is not assigned to any group, so we move to the next digit, 4, which is assigned to X. Therefore, the first choice is Y and the second choice is X.

Question 14

A series of random digits is used to simulate the type of car wash requested by
customers.
Given that th
$\begin{array}{|c|c|}
\hline \text { Digit } & \text { Choice } \
\hline 1 & \text { Standard } \
\hline 2 & \text { Standard } \
\hline 3 & \text { Standard } \
\hline 4 & \text { Deluxe } \
\hline 5 & \text { Deluxe } \
\hline 6 & \text { Deluxe } \
\hline 7 & \text { Deluxe } \
\hline 8 & \text { Deluxe } \
\hline 9 & \text { Deluxe } \
\hline 0 & \text { Super Premium } \
\hline
\end{array}$
 following ten numbers were picked, how many customers did not want a standard car wash?
1783357069
A) 3
B) 4
C) 6
D) 7

Accepted Answer

To find the number of customers who did not want a standard car wash, we need to count the number of digits that correspond to a choice other than "Standard." We can see that digits 4 through 9 correspond to "Deluxe" and digit 0 corresponds to "Super Premium." Therefore, out of the ten digits given, six (4, 5, 6, 7, 8, and 9) correspond to options other than "Standard." Thus, the answer is choice (D) 7 (number of digits that are not "Standard").

Question 15

An early evening television program that discussed the use of "carbon offsets" to reduce the impact on global warming asked its viewers to phone in or e-mail a vote for or against this approach. The next day
The television station reported the vote was 70% in favour of this approach. This type of sampling is
Called:
A) voluntary response sampling
B) simple random sampling
C) probability sampling
D) stratified random sampling

Accepted Answer

This is an example of voluntary response sampling, as the individuals who chose to phone in or email were the ones included in the sample. This type of sampling is not representative of the entire population and is therefore not a reliable method to determine the opinions of the general public.

Question 16

A computer is simulating games of chess. When the numbers 1, 2, and 3 appear, player A has won. When the numbers 4, 5, and 6 appear, player B has won. If the numbers 7, 8, and 9 appear, it was a draw. Given
The following sequence of randomly generated numbers, how many games did A win? $$4,5,8,5,9,3,6,4,5,1,8,3,6$$
A) 3
B) 4
C) 5
D) 6

Accepted Answer

Player A wins when the numbers 1, 2, or 3 appear. In the sequence, the numbers 3, 1, and 3 appear, indicating 3 wins for player A.

Question 17

For a sample to be considered _______________, every member of the population must have an equal
chance of being selected. 
________________________________________

Accepted Answer

The answer of For a sample to be considered _______________,...

Question 18

Samples are said to be ______________ when some type of systematic error has been made in the
selection of the subjects. 
________________________________________

Accepted Answer

The answer of Samples are said to be ______________ when...

Question 19

A(n) __________ is defined as all subjects (human or otherwise) that are being studied. 
________________________________________

Accepted Answer

The answer of A(n) __________ is defined as all subjects...

Question 20

A series of random digits is used to simulate the correct answers in a simulated multiple-choice quiz. $$\begin{array} { | c | c | } 
\hline \text { Digit } & \text { Choice } \
\hline 1 & \mathrm {~A} \
\hline 2 & \mathrm {~A} \
\hline 3 & \mathrm {~B} \
\hline 4 & \mathrm {~B} \
\hline 5 & \mathrm { C } \
\hline 6 & \mathrm { C } \
\hline 7 & \mathrm { D } \
\hline 8 & \mathrm { D } \
\hline 9 & \mathrm { E } \
\hline 0 & \mathrm { E } \
\hline
\end{array}$$ Given that the following ten numbers were picked, how many questions had a correct answer of either A
Or E? $$1835394407$$
A) 2
B) 3
C) 4
D) 5

Accepted Answer

The answer of A series of random digits is used...

Quiz 13: Glossary

In _, which is used in quality control, successive units taken from production lines are sampled to ensure that the products meet certain standards set by the manufacturing company. ________________________

Why would researchers want to use a simulation rather than study an actual situation?

A sample is said to be if it is a good representation of the population. __________________________

Sampling differs from simulation in that

Which of the following examples of a survey question is meant to bias the response?

What is the basic simulation technique called?

A(n) is a sample obtained by dividing the population into subgroups, according to various homogeneous characteristics and then selecting members from each homogeneous group for the sample. __________________________

For a sample to be considered _, every member of the population must have an equal chance of being selected. __________________________

Samples are said to be when some type of systematic error has been made in the selection of the subjects. __________________________

A(n) is defined as all subjects (human or otherwise) that are being studied. ______________________________

Quiz 13: Glossary

In _________________, which is used in quality control, successive units taken from production lines are sampled to ensure that the products meet certain standards set by the manufacturing company. ________________________________________

Why would researchers want to use a simulation rather than study an actual situation?

A sample is said to be ______________ if it is a good representation of the population. ________________________________________

Sampling differs from simulation in that

Which of the following examples of a survey question is meant to bias the response?

What is the basic simulation technique called?

A(n) ______________ is a sample obtained by dividing the population into subgroups, according to various homogeneous characteristics and then selecting members from each homogeneous group for the sample. ________________________________________

For a sample to be considered _______________, every member of the population must have an equal chance of being selected. ________________________________________

Samples are said to be ______________ when some type of systematic error has been made in the selection of the subjects. ________________________________________

A(n) __________ is defined as all subjects (human or otherwise) that are being studied. ________________________________________