7 A motorist records the time taken, \(T\) minutes, to drive a particular stretch of road on each of 64 occasions. Her results are summarised by
$$\Sigma t = 876.8 , \quad \Sigma t ^ { 2 } = 12657.28$$
- Test, at the \(5 \%\) significance level, whether the mean time for the motorist to drive the stretch of road is greater than 13.1 minutes.
- Explain whether it is necessary to use the Central Limit Theorem in your test.