Question

if out of say 20 colleges in a state, 3 were selected and the entire population of those colleges were used to collect data on graduates in a given year, this would be an example of ________.
○ a. random sampling
○ b. stratified sampling
○ c. cluster sampling
○ d. systematic sampling

question 6

questioning every 14th customer leaving a theatre about the movie they had seen, would be an example of systematic sampling.
○ true
○ false

Explanation:

First Question (Multiple Choice)

• Random Sampling: Involves selecting units randomly from the population, each with equal chance. Here, we are not randomly picking individual graduates but entire colleges, so not a.
• Stratified Sampling: Divides population into strata (groups with similar characteristics) and samples from each stratum. Here, we are not dividing into strata and sampling from each, so not b.
• Cluster Sampling: Divides population into clusters (groups), selects some clusters, and includes all units in selected clusters. Here, colleges are clusters, 3 are selected, and all graduates in those colleges are used, so this fits cluster sampling (c).
• Systematic Sampling: Selects every k-th unit from a list. This is not the case here, so not d.

Systematic sampling is when we select every nth unit from a population list. Questioning every 14th customer (selecting every 14th unit) fits the definition of systematic sampling. So the statement is True.

Answer:

c. cluster sampling

Second Question (True/False)