Final answer:
Sampling methods such as simple random, stratified, systematic, cluster, and convenience are various techniques used to select a representative subset of the larger population by various ways of categorizing or selecting individuals.
Step-by-step explanation:
The student's question involves identifying what type of sampling method is used in different scenarios. Sampling methods like simple random sampling, stratified sampling, systematic sampling, cluster sampling, and convenience sampling are ways to select a part of a population to represent the whole.
Here are a few examples with their corresponding sampling methods:
- When a soccer coach selects players based on age groups to form a team, this is stratified sampling as the population is divided into strata based on age, and then samples are taken from each stratum.
- If a pollster interviews all human resource personnel in a few companies, this is cluster sampling as the companies serve as clusters, and all individuals within the selected clusters are surveyed.
- Selecting an equal number of male and female teachers for interviewing is another example of stratified sampling, where strata are based on gender.
- Choosing students completely at random with each having an equal chance is simple random sampling.
- If a high school principal polls an equal number of students from each grade for a survey, this is stratified sampling as the population (student body) is divided into subgroups (grades) and a random sample is drawn from each subgroup.
- When an instructor takes a random sample of students from each math class, it is stratified sampling.
- A manager selecting entire departments at random to measure satisfaction uses cluster sampling as the departments are the clusters, and all members of the chosen clusters are involved.
In nontraditional methods like convenience sampling, selection is based on easy availability and proximity rather than random selection, which may limit the ability to generalize the results to the entire population.