- Rachel records the times taken, in minutes, to cycle into town from her house on a random sample of 10 days. Her results are shown below.
$$\begin{array} { l l l l l l l l l l }
15 \cdot 5 & 14 \cdot 9 & 16 \cdot 2 & 17 \cdot 3 & 14 \cdot 8 & 14 \cdot 2 & 16 \cdot 0 & 14 \cdot 2 & 15 \cdot 5 & 15 \cdot 1
\end{array}$$
Assuming that these data come from a normal distribution with mean \(\mu\) and variance \(0 \cdot 9\), calculate a \(90 \%\) confidence interval for \(\mu\).