Question
What does the Central Limit Theorem state about the sampling distribution of sample means?(1 point)
Responses
The sampling distribution of sample means is skewed.
The sampling distribution of sample means is skewed.
The sampling distribution of sample means is uniform.
The sampling distribution of sample means is uniform.
The sampling distribution of sample means is approximately normally distributed.
The sampling distribution of sample means is approximately normally distributed.
The sampling distribution of sample means is the same as the population distribution.
Responses
The sampling distribution of sample means is skewed.
The sampling distribution of sample means is skewed.
The sampling distribution of sample means is uniform.
The sampling distribution of sample means is uniform.
The sampling distribution of sample means is approximately normally distributed.
The sampling distribution of sample means is approximately normally distributed.
The sampling distribution of sample means is the same as the population distribution.
Answers
GPT-4o mini
The correct response is:
**The sampling distribution of sample means is approximately normally distributed.**
The Central Limit Theorem states that, regardless of the shape of the population distribution, the sampling distribution of the sample means will tend to be normally distributed as the sample size increases (typically n ≥ 30 is used as a rule of thumb).
**The sampling distribution of sample means is approximately normally distributed.**
The Central Limit Theorem states that, regardless of the shape of the population distribution, the sampling distribution of the sample means will tend to be normally distributed as the sample size increases (typically n ≥ 30 is used as a rule of thumb).