Question

6. If you drew all possible random samples of size 1,000 from the population of LSAT test takers and plotted the values of the mean from each sample, the resulting distribution would be the sampling distribution of the mean. Would this sampling distribution be a normal distribution? Why or why not?

Answer 1

Explanation:

Given that you drew all possible random samples of size 1,000 from the population of LSAT test takers

Plotted the values of the mean from each sample

As per central limit theorem, we find that for sample sizes of minimum 30, the means of all such samples randomly drawn would follow a bell shaped curve with normal distribution irrespective of the original distribution of the population.

Hence here answer is yes, this would be a normal distribution as per central limit theorem.