Final answer:
The sampling methods used in the given situations are convenience sampling, random sampling, simple random sampling, and convenience sampling respectively.
Step-by-step explanation:
a. In this situation, the sampling method used is convenience sampling. The researchers are only asking travelers who are sitting near gates and not taking naps, which may not provide a representative sample of all travelers in the airport.
b. The sampling method used in this situation is random sampling. The teacher randomly selects rows two and five to ensure that every student in those rows has an equal chance of being chosen.
c. The sampling method used in this situation is simple random sampling. The selection of the 6 lottery balls is by chance, making it a random sample.
d. The sampling method used in this situation is convenience sampling. The researchers are only asking people who walk into the grocery store between 3:00 pm and 5:00 pm, which may not provide a representative sample of all grocery store customers.