The Bureau of Meteorology of the Australian Government provided the mean annual rainfall (in milli- meters) in Australia 1983-2002 as follows (http://www.bom.go au climate change/rain03.txt): 499.2, 555.2, 398.8, 391.9, 453.4, 459.8, 483.7, 417.6, 469.2 452.4, 499.3, 340.6, 522.8, 469.9, 527.2, 565.5, 584.1, 727.3.

558.6, 338.6 Check the assumption of normality in the population. Construct a 95% confidence interval for the mean annual rainfall.