Question

identify the sampling techniques used, and discuss potential sources of bias (if any). explain. every twentieth person entering a cafeteria is asked to choose his or her favorite meal from a list of five different meals that includes a description of each. what type of sampling is used? a. cluster sampling is used, because the population is divided into groups, several groups are selected, and every person in those groups is contacted. b. stratified sampling is used, because the population is divided into groups, and random samples are taken from each group. c. systematic sampling is used, because every twentieth person is selected. d. simple random sampling is used, because every sample of a given size has an equal chance of being selected. e. convenience sampling is used, because the researchers contact the easiest people to reach.

Explanation:

Systematic sampling involves selecting every k - th element from a population. Here, every twentieth person is selected, which fits the definition of systematic sampling. Potential bias could occur if there is a pattern in the order of people entering the cafeteria. For example, if certain groups of people with similar meal - preferences (like a sports team or a class group) tend to enter at the same time intervals, the sample may not be representative of the entire cafeteria population.

Answer:

C. Systematic sampling is used, because every twentieth person is selected.