A study was done to determine whether the new Wi$-$Fi system in a college dorm had improved download speeds. A random selection of $12$ students was made, and the time $($in seconds$)$ to download the same large file was documented on both the old and new Wi$-$Fi networks. The following download times for both samples are below.

Participant $123456789101112$

Old Wi$-$Fi $8\mathrm{.}19\mathrm{.}28\mathrm{.}47\mathrm{.}89\mathrm{.}78\mathrm{.}98\mathrm{.}79\mathrm{.}19\mathrm{.}58\mathrm{.}87\mathrm{.}98\mathrm{.}5$

New Wi$-$Fi $8\mathrm{.}27\mathrm{.}16\mathrm{.}47\mathrm{.}58\mathrm{.}17\mathrm{.}86\mathrm{.}86\mathrm{.}25\mathrm{.}86\mathrm{.}17\mathrm{.}27\mathrm{.}3$