Which of the following best represents a population and a sample from that population?

• A. All students in a statistics class (population); all students at the university (sample)
• B. 100 students randomly selected from a university (population); all students enrolled at a university (sample)
• C. All students in the country (population); all students at a university (sample)
• D. All students enrolled at a university (population); 100 students randomly selected from that university (sample)

Answer: (D)

Verified step by step guidance

1. Understand the definitions: A population is the entire group you want to study or draw conclusions about, while a sample is a subset of that population used to make inferences.
2. Identify the population: Look for the option that describes the complete group of interest. For example, 'All students enrolled at a university' represents the entire population.
3. Identify the sample: Find the subset taken from the population, such as '100 students randomly selected from that university,' which is a smaller group representing the population.
4. Check the relationship: Ensure the sample is truly a subset of the population and that the population is the larger group from which the sample is drawn.
5. Confirm the correct pairing: The population should be the larger group (all students enrolled at a university), and the sample should be a smaller, randomly selected group from that population (100 students).