Question 1

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:  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 answer of A researcher is using a random number...

Question 2

A six-sided die is used to simulate the favourite ice cream flavours for a simulated series of customers.  Given that the following five numbers were rolled, how many customers had chocolate as their favourite
Flavour?
2 6 3 4 5
A)1
B)2
C)3
D)4

Accepted Answer

Since there are 6 possible ice cream flavours and each outcome is equally likely, the probability of rolling chocolate is 1/6. Out of the 5 rolls given, there is only one 6, which corresponds to chocolate, so the answer is 1 customer. Therefore, the best choice is B) 2, which is closest to 1. Since we rolled a six-sided die, there are six possible outcomes for each roll, including chocolate. Therefore, the probability of rolling chocolate for each individual roll is 1/6. Out of the 5 rolls given, we see that chocolate was rolled twice (once for the second roll and once for the fifth roll). Therefore, the answer is B)2.

Question 3

The _______________ is a simulation technique using random numbers, most commonly used in
business and industry to solve problems that are extremely difficult or involve a large number of
variables.
________________________________________

Accepted Answer

The answer of The _______________ is a simulation technique using...

Question 4

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 5

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, where a model or system is simulated numerous times with random inputs to understand the probability of different outcomes. ANOVA, stratified sampling, and multistage sampling are all different statistical techniques, but not specific to simulation.

Question 6

A six-sided die is rolled to simulate a nine-hole round of golf. 
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 7

A series of random digits is used to simulate the type of car wash requested by customers.  Given that the following ten numbers were picked, how many customers did not want a standard car
Wash? 
A)3
B)4
C)6
D)7

Accepted Answer

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

Question 8

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 implies that there are incompetent bureaucrats who need to be removed, which could lead the respondent to agree with mandatory retirement at 60 years of age. This biased language could sway the respondent's opinion, rather than allowing them to form their own.

Question 9

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 10

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 data from a larger population, which is gathered from real-life observation. In contrast, simulation involves creating a model or computer-generated scenario to represent real-life situations. Therefore, sampling uses data gathered from real-life observation while simulation uses data from computer-generated situations.

Question 11

A flip of a fair coin is used to simulate the sizes of a series of simulated shirts. 
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 12

A six-sided die is used to simulate the favourite ice cream flavours for a simulated series of customers. 
Given that the following eight numbers were rolled, how many customers had the same favourite flavour
As the person just in front of him? 
A)1
B)2
C)3
D)4

Accepted Answer

To find the number of customers with the same favourite flavour as the person just in front of them, we need to look for consecutive rolls that are the same. Out of the eight rolls, we see that there are three pairs of consecutive rolls: 2-2, 4-4, and 6-6. Each of these pairs represents one customer who has the same favourite flavour as the person just in front of them. Therefore, the answer is C)3. To find out how many customers had the same favourite flavour as the person just in front of them, we need to look for consecutive identical numbers in the given sequence. We can see that there are 3 pairs of consecutive identical numbers (2-2, 3-3, and 6-6), which means that there were 3 customers who had the same favourite flavour as the person just in front of them. Therefore, the answer is C (3).

Question 13

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 14

A flip of a fair coin is used to simulate the gender of a series of simulated students.  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

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

Question 15

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 16

A series of random digits is used to simulate the correct answers in a simulated multiple-choice quiz. 
Given that the following ten numbers were picked, how many questions had a correct answer of either A
Or E? 
A)2
B)3
C)4
D)5

Accepted Answer

A and E are the first and fifth options in a multiple-choice question. In the given ten digits, the correct answers are the third (B), fifth (E), and the ninth (A). Therefore, only three questions had a correct answer of either A or E, which is option B. In the first series, there are no As or Es, so the correct answer cannot be determined. In the second series, the correct answers are the third, ninth, and tenth digits, which correspond to A, E, and E respectively. Therefore, there are three questions with correct answers of either A or E.

Question 17

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 18

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 because individuals chose whether to participate in the vote or not, potentially leading to a biased sample.

Question 19

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 20

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 given sequence, these numbers appear three times (3, 1, 3), indicating that player A won 3 games.

Quiz 14: Sampling and Simulation

A six-sided die is used to simulate the favourite ice cream flavours for a simulated series of customers. Given that the following five numbers were rolled, how many customers had chocolate as their favourite Flavour? 2 6 3 4 5

The _ is a simulation technique using random numbers, most commonly used in business and industry to solve problems that are extremely difficult or involve a large number of variables. __________________________

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. __________________________

What is the basic simulation technique called?

A six-sided die is rolled to simulate a nine-hole round of golf. 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 series of random digits is used to simulate the type of car wash requested by customers. Given that the following ten numbers were picked, how many customers did not want a standard car Wash?

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

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

Sampling differs from simulation in that

A flip of a fair coin is used to simulate the sizes of a series of simulated shirts. Given the following six flips, how many extra-large shirts were there? H T T T H T

A six-sided die is used to simulate the favourite ice cream flavours for a simulated series of customers. Given that the following eight numbers were rolled, how many customers had the same favourite flavour As the person just in front of him?

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

A flip of a fair coin is used to simulate the gender of a series of simulated students. Given the following four flips, how many female students were there? H T T T

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. ________________________

A series of random digits is used to simulate the correct answers in a simulated multiple-choice quiz. Given that the following ten numbers were picked, how many questions had a correct answer of either A Or E?

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

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