5.
The random variable \(X\) has the distribution \(\mathrm { N } \left( \mu , 3 ^ { 2 } \right)\). A random sample of 9 observations of \(X\) produced the following values.
$$\begin{array} { l l l l l l l l l }
6 & 2 & 3 & 6 & 8 & 11 & 12 & 5 & 10
\end{array}$$
- Find a \(90 \%\) confidence interval for \(\mu\).
- Explain what is meant by a \(90 \%\) confidence interval in this context.
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