Twelve different video games showing substance use were observed and the duration times of game play $($in seconds$)$ are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the data to construct a $95\%$ confidence interval estimate of $,$ the mean duration of game play.

$4047$

$3875$

$3854$

$4026$

$4321$

$4804$

$4667$

$4030$

$5013$

$4813$

$4342$

$4320$