Final answer:
Dr. Tanaka's selection of five high schools and then 250 students from each is an example of cluster sampling.
Step-by-step explanation:
Dr. Tanaka is using a sampling technique known as cluster sampling. This technique involves selecting random groups (or clusters) from a larger population where each cluster is meant to be a miniature representation of the whole population. In this case, Dr. Tanaka's choice of five high schools out of fifteen and then selecting 250 students from each chosen school exemplifies cluster sampling. It is important to note that this is different from stratified sampling, where the researcher would divide the population into groups (or strata) and then take a proportional sample from each stratum, and also different from simple random sampling where each individual in the entire population would have an equal chance of being selected.