Question

Determine whether the following statement is true or false.

To construct a confidence interval about the​ mean, the population from which the sample is drawn must be approximately normal.

a. True
b. False

Answer 1

True. To construct a confidence interval about the mean, the population from which the sample is drawn must be approximately normal.

Step-by-step explanation:

True. To construct a confidence interval about the mean, the population from which the sample is drawn must be approximately normal.

This is because one of the assumptions for constructing a confidence interval is that the sampling distribution of the mean should be approximately normal.

The Central Limit Theorem states that as the sample size increases, the sampling distribution of the mean becomes more and more normal. So, in order to have a reliable confidence interval, the population should be approximately normal.