The times taken by members of a large quiz club to complete a challenge have a normal distribution with mean \(\mu\) minutes. The times, \(x\) minutes, are recorded for a random sample of 8 members of the club. The results are summarised as follows, where \(ar{x}\) is the sample mean.

\(ar{x}=33.8 \quad \sum(x-ar{x})^{2}=94.5\)

Find a 95% confidence interval for \(\mu\).