College tuition: Independent random samples of private college and university tuition and fees for a recent academic year from California and New York yielded the following data, in dollars.
\begin{tabular}{lllllllllll}
\hline California: & 29,940 & 35,650 & 27,241 & 21,000 & 32,610 & 37,860 & 36,992 & 34,994 & 22,840 & 25,778 \\
New York: & 29,273 & 40,850 & 28,460 & 33,835 & 24,420 & 30,868 & 26,400 & 37,872 & 22,646 & 38,970 \\
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\end{tabular}
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Construct a \( 95 \% \) confidence interval for the difference between the mean amounts of tuition in the two states. Let \( \overline{x_{1}} \) represent the mean amount of tuition in California. Round the answers to nearest dollar.