5. For a project, a student is investigating whether more athletic individuals have better hand-eye coordination. He records the time it takes a number of students to complete a task testing coordination skills and notes whether or not they play for a school sports team. His results are as follows:
| \cline { 2 - 4 }
\multicolumn{1}{c|}{} | | Mean | |
| In a School Team | 50 | 32.8 s | 4.6 s |
| Not in a Team | 190 | 35.1 s | 8.0 s |
Stating your hypotheses clearly, test at the \(5 \%\) level of significance whether or not there is evidence that those who play in a school team complete the task more quickly on average.
(8 marks)