4 The height of lilac trees, in metres, can be modelled by a normal distribution with variance 0.7 A random sample of \(n\) lilac trees is taken and used to construct a 99\% confidence interval for the population mean. This confidence interval is \(( 5.239,5.429 )\)
4

1. Find the value of \(n\)
   4
2. Joey claims that the mean height of lilac trees is 5.3 metres.
   State, with a reason, whether the confidence interval supports Joey's claim.