Question

1. every 5th person who enters the cafeteria is asked what their favorite food that is being served is.
2. texas tech and oklahoma state university are playing each other in the march madness tournament. to determine which team is favored to, win, a group of 100 students at the texas tech student union center are surveyed.

Explanation:

Since the problem seems to be about identifying sampling methods (which falls under Statistics, a subfield of Mathematics), here's the analysis for each part:

Question 5

Step1: Identify Sampling Type

The method of asking every 5th person (a fixed interval) is systematic sampling. In systematic sampling, we select elements from a population at regular intervals. Here, the interval is 5 (every 5th person entering the cafeteria), so we systematically choose participants by this interval.

Question 6

Step1: Identify Sampling Type

The group of 100 students is surveyed at the Texas Tech student union center, which is a convenient location (easy to access participants). Convenience sampling involves selecting participants who are easily available, and here students at the student union center are convenient to survey, so this is convenience sampling.

Answer:

Systematic Sampling