what is the standard deviation of a sampling distribution if the standard deviation of the population is 3.4…

Answer:

0.21

Explanation:

Step1: Recall the formula

The formula for the standard deviation of the sampling - distribution (also known as the standard error) is $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard deviation and $n$ is the sample size.

Step2: Substitute values

Given $\sigma = 3.4$ and $n = 250$. Then $\sigma_{\bar{x}}=\frac{3.4}{\sqrt{250}}$.

Step3: Calculate square - root

First, calculate $\sqrt{250}\approx15.8114$.

Step4: Perform division

Then $\frac{3.4}{15.8114}\approx0.21$.