Question
Very large samples produce:
A. changes in the mean of the population
B. biased samples
C. more variability
D. less variability
A. changes in the mean of the population
B. biased samples
C. more variability
D. less variability
Answers
GPT-4o mini
The correct answer is: **D. less variability.**
Very large samples generally produce estimates that are more stable and closer to the true population parameters, which reduces variability in the sampling distribution. This is a consequence of the Central Limit Theorem, which states that as sample size increases, the sampling distribution of the sample mean approaches a normal distribution and the variability (standard error) decreases.
Very large samples generally produce estimates that are more stable and closer to the true population parameters, which reduces variability in the sampling distribution. This is a consequence of the Central Limit Theorem, which states that as sample size increases, the sampling distribution of the sample mean approaches a normal distribution and the variability (standard error) decreases.