Question

What does the Central Limit Theorem state about the sampling distribution of sample means? itern 1 (1 point) item 2 The sampling distribution of sample means is the same as the population distribution. Item 3 The sampling distribution of sample means is uniform. Item 4 The sampling distribution of sample means is approximately normally distributed. Item 5 The sampling distribution of sample means is skewed.

Answer 1

The Central Limit Theorem (CLT) states that the sampling distribution of sample means will be approximately normally distributed, regardless of the shape of the population distribution, provided the sample size is sufficiently large (typically n ≥ 30 is considered a good rule of thumb). Therefore, the correct statement regarding the CLT is:

**Item 4: The sampling distribution of sample means is approximately normally distributed.**