Question
Very large samples produce:(1 point)
Responses
changes in the mean of the population
changes in the mean of the population
less variability
less variability
more variability
Responses
changes in the mean of the population
changes in the mean of the population
less variability
less variability
more variability
Answers
GPT-4o mini
The correct response is: **less variability**.
In statistics, very large samples tend to produce less variability in estimates (such as the sample mean) because larger samples tend to provide a more accurate reflection of the population. Additionally, the Central Limit Theorem states that as sample size increases, the sampling distribution of the sample mean approaches a normal distribution, leading to reduced variability.
In statistics, very large samples tend to produce less variability in estimates (such as the sample mean) because larger samples tend to provide a more accurate reflection of the population. Additionally, the Central Limit Theorem states that as sample size increases, the sampling distribution of the sample mean approaches a normal distribution, leading to reduced variability.