Questions: Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below.
A researcher selects every 933rd social security number and surveys the corresponding person.
Which type of sampling did the researcher use?
Systematic sampling
Random sampling
Convenience sampling
Stratified sampling
Cluster sampling
Transcript text: Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below.
A researcher selects every 933rd social security number and surveys the corresponding person.
Which type of sampling did the researcher use?
Systematic sampling
Random sampling
Convenience sampling
Stratified sampling
Cluster sampling
Solution
Solution Steps
To determine the type of sampling used, we need to understand the method described. The researcher selects every 933rd social security number, which indicates a regular interval selection from a list. This is characteristic of systematic sampling, where elements are selected at regular intervals from an ordered list.
Step 1: Identify the Sampling Method
The researcher selects every \(933^{rd}\) social security number to survey the corresponding person. This method involves choosing elements at regular intervals from an ordered list.
Step 2: Classify the Sampling Type
This selection process is characteristic of systematic sampling, where a fixed interval is used to select samples from a population. In this case, the interval is \(933\).
Final Answer
The answer is systematic sampling, which can be boxed as follows: \\(\boxed{\text{Systematic sampling}}\\).