2 The weights of lions kept in captivity at Wildcat Safari Park are normally distributed.
The weights, in kilograms, of a random sample of five lions were recorded as
$$\begin{array} { l l l l l }
46 & 48 & 57 & 49 & 54
\end{array}$$
- Construct a 95\% confidence interval for the mean weight of lions kept in captivity at Wildcat Safari Park.
- State the probability that this confidence interval does not contain the mean weight of lions kept in captivity at Wildcat Safari Park.