Question 1

One limitation of random sampling is that if the population is extremely large, numbering and selecting
sample elements could be costly and time-consuming.

Accepted Answer

Random sampling involves selecting a sample from a population, and if the population is extremely large, it can be difficult, time-consuming, and costly to number all elements and select a sample. In such cases, other sampling methods like stratified sampling or cluster sampling may be more appropriate.

Question 2

In multistage sampling, a very large population is given a questionnaire to determine those who meet the
qualifications for the study.

Accepted Answer

In multistage sampling, the population is divided into smaller groups or stages and a sample is selected from each stage. It is not necessary to give a questionnaire to the entire population to determine qualifications.

Question 3

The time and place where a survey is conducted could influence the results.

Accepted Answer

The time and place where a survey is conducted can affect the sample population and their responses, potentially biasing the results. Factors such as the location, time of day, and method of data collection can all impact the outcome of a survey.

Question 4

Give the type of sample obtained by numbering each element in the population and then selecting every third or fifth or tenth, etc., number from the population to be included in the sample.
A)biased sample
B)cluster sample
C)systematic sample
D)stratified sample

Accepted Answer

This is a systematic sample, where every third or fifth or tenth element is selected in a consistent manner. It is a simple and efficient way to obtain a representative sample from a large population. Other options such as biased, cluster or stratified sampling involve more complex selection methods and may not be appropriate in this scenario.

Question 5

The first step in simulating experiments using the Monte Carlo method is to list all of the possible
outcomes of the experiment.

Accepted Answer

This is true. The Monte Carlo method involves generating random samples to simulate the experiment, so it is important to know all the possible outcomes in order to create accurate simulations.

Question 6

In stratified sampling, the researcher selects intact, pre-existing, or natural groups to use as samples.

Accepted Answer

In stratified sampling, the researcher divides the population into distinct subgroups (strata) based on specific characteristics and then randomly selects samples from each subgroup, not intact, pre-existing, or natural groups.

Question 7

What term is given to a sample chosen at random from a population?
A)biased sample
B)cluster sample
C)unbiased sample
D)stratified sample

Accepted Answer

A sample chosen at random from a population is called an unbiased sample. This means that every member of the population has an equal chance of being selected for the sample, ensuring that the sample is representative of the population as a whole. Biased samples, on the other hand, are samples that are not chosen randomly or do not represent the entire population, leading to inaccurate or misleading conclusions. Cluster samples involve dividing the population into groups (clusters) and randomly selecting some of the clusters to be included in the sample. Stratified samples involve dividing the population into subgroups (strata) based on some characteristic and then randomly selecting members from each subgroup to ensure representation.

Question 8

If all possible samples of a specific size have the same chance of being selected, what type of sampling technique is being used?
A)random sampling
B)cluster sampling
C)systematic sampling
D)stratified sampling

Accepted Answer

Random sampling is the only sampling technique in which all possible samples of a specific size have an equal chance of being selected. Cluster and systematic sampling involve a specific grouping or pattern in selecting the sample, while stratified sampling involves dividing the population into subgroups and selecting a sample from each subgroup.

Question 9

One major disadvantage of cluster sampling is that the elements in a cluster may not have the same
variation in characteristics as elements selected individually from a population.

Accepted Answer

This is because cluster sampling involves selecting groups of individuals who are already pre-existing, which could potentially result in a lack of variation in certain characteristics compared to randomly selecting individuals from the entire population.

Question 10

The basic simulation technique is referred to as multistage sampling.

Accepted Answer

The basic simulation technique is typically referred to as Monte Carlo simulation. Multistage sampling is a statistical technique used in survey sampling. These two techniques are not interchangeable.

Question 11

Give the type of sample obtained by selecting a pre-existing or natural group and using the members in the group for the sample.
A)biased sample
B)cluster sample
C)systematic sample
D)stratified sample

Accepted Answer

Cluster sampling involves selecting pre-existing or natural groups (clusters) and then using all members from those selected clusters for the study. This method is often used when a population is naturally divided into groups or when it's impractical or costly to conduct a random sample from the entire population.

Question 12

In double sampling, the researcher uses a combination of sampling methods.

Accepted Answer

In double sampling, also known as two-phase or two-stage sampling, the researcher indeed uses a combination of sampling methods to enhance the efficiency or accuracy of the research outcomes.

Question 13

Simulation techniques go back to ancient times when the game of chess was invented to simulate
warfare.

Accepted Answer

This statement is true. The game of chess, as we know it today, was created in the 6th century in India as a way to teach military strategy and simulate battles.

Question 14

If a third of a population is female, then approximately a third of the representative sample should be
female.

Accepted Answer

If a third of the population is female, then for a representative sample to accurately reflect the population, approximately the same proportion of females must be in the sample. Therefore, approximately a third of the representative sample should be female.

Question 15

Which of the following methods will give a truly random sampling of the general population?
A)polling random people on the street
B)mailing out questionnaires to be filled out and returned
C)posing a question on a radio station and asking the general public to call in to respond
D)none of the above

Accepted Answer

None of the options listed will provide a truly random sampling of the general population. A truly random sampling would involve selecting individuals from all members of the population being studied with equal probability.

Question 16

If a researcher chooses a name at random in the phone book and then chooses every 100th name thereafter
as a sample, the researcher would be employing the method of systematic sampling.

Accepted Answer

This is correct, as systematic sampling involves selecting every nth element in a population after randomly selecting a starting point. In this case, the starting point is the randomly chosen first name in the phone book, and every 100th name thereafter is selected.

Question 17

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

Accepted Answer

Biased samples are a result of a systematic error in the selection process, leading to the exclusion or overrepresentation of certain groups. This results in unrepresentative samples and inaccurate conclusions.

Question 18

Sampling techniques are often used:
A)When the population is too large to be analyzed
B)When the population is too small to be accurately analyzed
C)When the entire population can be analyzed
D)When survey questions are difficult to compose

Accepted Answer

Sampling techniques are used when the population is too large to be analyzed. This is because it is more efficient and cost-effective to select a representative sample from the population and infer the findings to the entire population rather than analyzing the entire population.

Question 19

An example of a good technique for getting a random sample of the population would be to ask a
question by radio and have the listeners phone in with an answer.

Accepted Answer

This is not a good technique for getting a random sample of the population because it relies solely on those who listen to the radio and are willing to phone in, which may not be representative of the larger population. It also excludes those who may not have access to a phone or are unable to participate in the survey at the time of the radio broadcast. Good techniques for getting a random sample include random digit dialing or stratified sampling.

Question 20

Sampling methods often use random numbers to select samples.

Accepted Answer

Sampling methods frequently use random numbers to select samples, allowing for a more objective and unbiased sample selection process.

Quiz 14: Sampling and Simulation

One limitation of random sampling is that if the population is extremely large, numbering and selecting sample elements could be costly and time-consuming.

In multistage sampling, a very large population is given a questionnaire to determine those who meet the qualifications for the study.

The time and place where a survey is conducted could influence the results.

Give the type of sample obtained by numbering each element in the population and then selecting every third or fifth or tenth, etc., number from the population to be included in the sample.

The first step in simulating experiments using the Monte Carlo method is to list all of the possible outcomes of the experiment.

In stratified sampling, the researcher selects intact, pre-existing, or natural groups to use as samples.

What term is given to a sample chosen at random from a population?

If all possible samples of a specific size have the same chance of being selected, what type of sampling technique is being used?

One major disadvantage of cluster sampling is that the elements in a cluster may not have the same variation in characteristics as elements selected individually from a population.

The basic simulation technique is referred to as multistage sampling.

Give the type of sample obtained by selecting a pre-existing or natural group and using the members in the group for the sample.

In double sampling, the researcher uses a combination of sampling methods.

Simulation techniques go back to ancient times when the game of chess was invented to simulate warfare.

If a third of a population is female, then approximately a third of the representative sample should be female.

Which of the following methods will give a truly random sampling of the general population?

If a researcher chooses a name at random in the phone book and then chooses every 100th name thereafter as a sample, the researcher would be employing the method of systematic sampling.

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

Sampling techniques are often used:

An example of a good technique for getting a random sample of the population would be to ask a question by radio and have the listeners phone in with an answer.

Sampling methods often use random numbers to select samples.