Questions: Question 14 3 pts Identify the type of sampling used. Diana would like to know what percentage of SAC students have taken English 101, so she stands in front of the campus bookstore and asks every 10 th student that walks out to answer a survey about whether or not they taken the course. What sampling technique is used? systematic stratified simple random cluster convenience

Solution Steps

To determine the type of sampling used, we need to analyze the method Diana used to select participants. She asks every 10th student, which indicates a systematic approach, as she follows a fixed interval to select her sample.

Diana's method of selecting participants involves asking every 10th student who exits the campus bookstore. This approach follows a fixed interval, which is characteristic of systematic sampling. In systematic sampling, a starting point is chosen at random, and then every \( k \)-th individual is selected from the population, where \( k \) is a constant (in this case, \( k = 10 \)).

In systematic sampling, each member of the population does not have an equal chance of being selected, as the selection is based on a predetermined interval. This differentiates it from simple random sampling, where every individual has an equal probability of being chosen.

Final Answer