1 The lengths, \(X\) centimetres, of a random sample of 7 leaves from a certain variety of tree are as follows.
3.9
4.8
4.8
4.4
5.2
5.5
6.1
- Calculate unbiased estimates of the population mean and variance of \(X\).
It is now given that the true value of the population variance of \(X\) is 0.55 , and that \(X\) has a normal distribution. - Find a 95\% confidence interval for the population mean of \(X\).