Can someone help me with this? The Bureau of Meteorology of the Australian Gover

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Can someone help me with this?

The Bureau of Meteorology of the Australian Government provided the mean annual rainfall (in millimeters) in Australia 1983-2002 as follows (http://www.bom.gov.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 Construct a 99% two-sided confidence interval for the mean annual rainfall. Assume population is approximately normally distributed. Round your answers to 2 decimal places.

Explanation / Answer

for above

here for 99% CI and (n-1=19) degree of freedom t=3.1058

hence confidence interval =mean +/- t*std error =423.0166 ; 548.4934

X 499.200 555.200 398.800 391.900 453.400 459.800 483.700 417.600 469.200 452.400 499.300 340.600 522.800 469.900 527.200 565.500 584.100 727.300 558.600 338.600 mean(X) 485.755 std deviation(S) 90.339 std error =S/(n)1/2 20.200

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