When sampling from a population if the sample size is at lea

When sampling from a population, if the sample size is at least 30, it is possible the observed sample will not be normally distributed, but the sampling distribution for the sample mean will be normality distributed. The Central Limit Theorem guarantees that if the sample size is at least 30, then the values observed in the sample will be normally distributed. Which of the following is correct?

Solution

Here, only statement 1 is correct. The central limit theorem does not say anything about the distirbution of your population; but it says that the sampling distirbution will be approximately normal.

Hence, OPTION A IS THE ANSWER. [ANSWER, A]