Q.7.26 - Elementary Statistics

Question

Although, in general, you cannot know the sampling distribution of the sample mean exactly, by what distribution can you often approximate it ?

Step-by-Step Solution

Answer

The sampling distribution of a sample is frequently approximated by the Normal Distribution.

Step 1: Given Information

We have to find the method to approximate the sample size.

Step 2: Explanation

The variable $\overline{x}$ is nearly normally distributed, according to the central limit theorem, for a relatively large sample size.

The sampling distribution of a sample is frequently approximated by the Normal Distribution.