A Credit Company Has Gathered Information Regarding the Average Amount $\begin{array}{ll}&\text { Under } 30&\text { Over } 30\\&600 & 550 \\n&200 & 300 \\\sigma^2&361 & 400\end{array}$

Short Answer

A credit company has gathered information regarding the average amount owed by people under 30 years old and by people over 30 years. Independent random samples were taken from both age groups. You are given the following information.
$\begin{array}{ll}&\text { Under } 30&\text { Over } 30\\&600 & 550 \\n&200 & 300 \\\sigma^2&361 & 400\end{array}$ Construct a 95% confidence interval for the difference between the average amounts owed by the two age groups.