Question 1

Which of the following best describes systematic sampling?

Accepted Answer

Randomly selecting an individual from the first $$k$$ individuals, then selecting every $$kth $$individual after that.

Question 2

A researcher wants to survey 100 students from a university with 5,000 students. She divides the students into groups based on their major and randomly selects students from each group in proportion to the group size. What sampling method is she using?

Accepted Answer

Stratified sampling

Question 3

In cluster sampling, which of the following is true?

Accepted Answer

All individuals in selected clusters are included in the sample.

Question 4

A grocery store owner wants to survey customers as they leave the store. There are 470 customers each day, and she wants to approach 60 customers. What is the value of $$k$$ she should use for systematic sampling?

Accepted Answer

$$k = 7$$

Question 5

Which sampling method is most likely to introduce bias due to self-selection?

Accepted Answer

Voluntary response sampling

Question 6

A college president wants to survey 1,000 students about campus services. She decides to randomly select 50 classes and survey all students in those classes. What is the main risk of this approach?

Accepted Answer

The sample size may be more than 1,000 students if class sizes are larger than the minimum used for calculation.

Question 7

Which of the following is a requirement for simple random sampling?

Accepted Answer

A frame of all individuals

Question 8

A researcher selects every 200th LED TV from an assembly line after randomly choosing one from the first 200. What sampling method is this?

Accepted Answer

Systematic sampling

Question 9

Which sampling method is least likely to produce a representative sample of a population?

Accepted Answer

Convenience sampling

Question 10

In stratified sampling, how are individuals selected from each stratum?

Accepted Answer

Individuals are selected in proportion to the size of the stratum.

Question 11

A news station hosts a call-in survey about a controversial topic. What type of sampling is this?

Accepted Answer

Voluntary response sampling

Question 12

Which of the following is a benefit of cluster sampling?

Accepted Answer

It can save time, money, and effort.

Question 13

If a population is divided into subgroups based on a shared characteristic and a random sample is taken from each subgroup, what is this method called?

Accepted Answer

Stratified sampling

Question 14

Which sampling method involves gathering data that are easy to collect without randomization?

Accepted Answer

Convenience sampling

Question 15

A city hall creates a frame of all residents and randomly selects 60 residents for a survey. What sampling method is this?

Accepted Answer

Simple random sampling

Question 16

Which of the following equations would you use to determine the number of clusters to select in cluster sampling if you know the desired sample size $$n$$ and the minimum cluster size $$c$$?

Accepted Answer

$$n \div c$$

Question 17

Why might the actual sample size in cluster sampling exceed the desired sample size?

Accepted Answer

Because the minimum cluster size was used for calculation, but actual clusters may be larger.

Question 18

Which sampling method requires a frame of all individuals in the population?

Accepted Answer

Simple random sampling

Question 19

A study at a community college randomly selects 30 full-time instructors and 50 part-time instructors for a survey. What sampling method is used?

Accepted Answer

Stratified sampling

Question 20

Which of the following is NOT a probability sampling method?

Accepted Answer

Convenience sampling

Sampling Methods in Statistics: Systematic, Stratified, Cluster, Convenience, and Voluntary Response Sampling

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