Chapter 8.3, Problem 68E

To determine

To find: The standard error of the mean using the provided information.

Answer to Problem 68E

The standard error of the mean is 4.892

Explanation of Solution

Given:

Sample mean $\left(\overline{x}\right)=31.25$

Sample standard deviation $\left(s_x\right)=21.88$

Sample size $\left(n\right)=20$

Formula used:

The formula to compute the standard error of mean is:

  $S{E}_{\overline{x}}=\frac{s_x}{\sqrt{n}}$

Calculation:

The standard error of the mean can be calculated as:

  $\begin{array}{c}S{E}_{\overline{x}}=\frac{s_x}{\sqrt{n}}\\ =\frac{21.88}{\sqrt{20}}\\ =4.892\end{array}$

The standard error of the mean is 4.892.