Question

Provide an appropriate response.The mean annual income for adult women in one city is $28,520 and the standard deviation of theincomes is $5,190. The distribution of incomes is skewed to the right. For samples of size 30, whichof the following statements best describes the sampling distribution of the mean?

Answer 1

Recall the Central Limit Theorem.

The Central Limit Theorem says that no matter what the distribution of the population is, as long as the sample is “large,” meaning of size 30 or more, the sample mean is approximately normally distributed.

If the population is already normal, then any sample size will produce a normal sampling distribution.