The data represent a random sample of the number of home fires started by candles for the past several years. (Data are from the National Fire Protection Association.) Find the \(99 \%\) confidence interval for the mean number of home fires started by candles each year.

\[\begin{array}{lllllll}
5460 & 5900 & 6090 & 6310 & 7160 & 8440 & 9930
\end{array}\]