Question

7. Suppose random samples of 48 are taken from a distribution that is skewed right. The sampling distribution will be which of the following?

Answer choices:
Skewed left
Skewed right
Non-normal
Normal

Answer 1

Explanation:

The Central Limit Theorem states that as sample size increases, the sampling distribution of the sample mean becomes approximately normal, regardless of the shape of the population distribution, as long as the sample size is sufficiently large (usually n > 30).

In this case, the sample size is 48, which is larger than 30, so we can expect the sampling distribution of the sample mean to be approximately normal, even if the population distribution is skewed right. Therefore, the answer is "Normal".