Answer: Systematic sampling
Explanation:
- A systematic sampling method is a technique of random sampling in which participants for the study are selected in a systematic way by using a fixed periodic interval k from the entire population .
Here , Professor had taken a randomized and enumerated list of all students in the UC system and randomly selected a starting point on that list.
He then selects that student for inclusion in the sample, and every 25th student thereafter.
That clearly shows that he is following the systematic sampling technique, where k= 25.
Hence, the sampling design he used = systematic sampling