Exploring Sampling Techniques in Statistics

What is the main purpose of using samples in research?

• To ensure accuracy in data collection

• To save time and resources

• To collect data and information about a variable or variables from the larger population

• To avoid dealing with the entire population

In random sampling, what ensures that every member of the population has an equal chance of being selected?

• Numbering each member of the population

• All of the above

• Using a random number table

• Placing numbered cards in a hat or bowl

Which sampling method involves dividing the population into subgroups and taking a random sample from each subgroup?

• Cluster sampling

• Random sampling

• Stratified sampling

• Systematic sampling

What is a key characteristic of a cluster sample?

• It selects members at regular intervals

• It uses all members of randomly selected clusters

• It is always unbiased

• It divides the population into subgroups with similar characteristics

What is the main difference between cluster sampling and stratified sampling?

• Cluster sampling is more accurate

• Stratified sampling is more cost-effective

• Stratified sampling uses subgroups with similar characteristics

• Cluster sampling is less time-consuming

What is a potential drawback of using cluster sampling?

• It is always biased

• It can be costly

• The cluster may not represent the population

• It is time-consuming

In systematic sampling, how is the interval number determined?

• By dividing the population size by the sample size

• By numbering each member of the population

• By randomly selecting a number

• By using a random number table

Which sampling method is described as easy to use if the population can be easily numbered?

• Systematic sampling

• Cluster sampling

• Stratified sampling

• Random sampling

What is a convenience sample?

• A sample that uses all members of selected clusters

• A sample that is randomly selected

• A sample that is derived from subgroups

• A sample that is easy to get or convenient

What is a sampling error?

• The difference between the results of a sample and the population

• An error in numbering the population

• A bias in the sampling method

• A mistake in selecting the sample