In Order to Compare the Means of Two Populations, Independent $\begin{array}{ll}\text { Sample 1 } & \text { Sample 2 } \\\bar{x}_{1}=7,123 & \bar{x}_{2}=6,957 \\s_{1}=175 & s_{2}=225\end{array}$

Essay

In order to compare the means of two populations, independent random samples of 144
observations are selected from each population with the following results. $\begin{array}{ll}\text { Sample 1 } & \text { Sample 2 } \\\bar{x}_{1}=7,123 & \bar{x}_{2}=6,957 \\s_{1}=175 & s_{2}=225\end{array}$

Use a $95 \%$ confidence interval to estimate the difference between the population means $\left( \mu _ { 1 } - \mu _ { 2 } \right)$ . Interpret the confidence interval.