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

Answer:

Step-by-step explanation:

In constructing a confidence interval about the mean, the central limit theorem is usually applied. This makes it possible to use the normal distribution. As the number of samples is increasing, the distribution tends to be normal. This would require using the z distribution. In the case where the sample size is small, we assume a normal distribution and use the t distribution. Therefore, the given statement is true.