Final Answer:
The type of sampling used in this situation is systematic sampling, where the researcher selects every 951st social security number to survey the corresponding individual.
Step-by-step explanation:
Systematic sampling involves selecting every kth element from a population list to form a sample. In this scenario, the researcher selects every 951st social security number from the list, creating a systematic sequence for surveying individuals. This method ensures an equal chance of each element being included in the sample, assuming the list is random and the population is evenly distributed. The systematic approach simplifies the sampling process by providing a structured method for selecting individuals, making it efficient while still maintaining a representative sample from the population.
The sampling interval in this case is 951, meaning every 951st individual on the list is surveyed. By systematically selecting individuals using social security numbers, the researcher avoids potential biases that could arise from other methods like convenience sampling. However, it's essential to ensure the list is randomized and representative of the population to avoid any systematic biases. Systematic sampling is advantageous in its simplicity and ease of implementation, making it a practical choice for large populations when a complete list is available, as in this scenario with social security numbers.