5 A large number of children are competing in a throwing competition. The distances, in metres, thrown by a random sample of 8 children are as follows.\\
$\begin{array} { l l l l l l l l } 19.8 & 22.1 & 24.4 & 21.5 & 20.8 & 26.3 & 23.7 & 25.0 \end{array}$\\
(a) Assuming that distances are normally distributed, test, at the $5 \%$ significance level, whether the population mean distance thrown is more than 22.0 metres.\\

(b) Find a 95\% confidence interval for the population mean distance thrown.\\

\hfill \mbox{\textit{CAIE Further Paper 4 2020 Q5}}