Question

Minitab Problem: Take the Lake Hume June rainfall data and find use the processes outlined in the lecture to:

• Find the descriptive statistics of the data and argue which are the best measures of central tendency and spread and give them. Use Minitab or do the calculations by hand and either way tell how you got your result.

• Estimate the values of α and β.

• Use them to find the graphs of the empirical probability distribution and cumulative distribution functions of the data overlaid with the data itself.

data :

Data
4.1
55.2
47.2
232.1
24.3
108.6
89.8
5.3
67.9
284.8
127.8
33.6
55.8
133.4
13.8
60.3
61.7
22.7
32.1
95.5
51.1
151.7
36.2
106.2
188.2
71.5
300
57.4
28.7
48.2
104.9
122.5
72
401.6
12.8
18.3
40.7
50
134.8
24.9
79.5
213
176.8
54.6
190.2
423.3
642.7
350.4
153.3
33.2
11.4
123.2
227.7
36
205.7
109.8
91.4
54
4.1
264.8
407.5
236.3
138.8
244.8
26
206.2
43.6
74.2
117.4
69.7
207.8
355.6
146.6
102.8
314.2
170.8
47.8
60.4
107.3
76.6
86.8
124.8
11.8
82.2
81.2
291
45.2

Answer 1

Variable N N* Mean SE Mean StDev Sum Minimum Q1 Median Q3
Data 87 0 125.3 12.5 116.1 10900.2 4.1 4 7.2 86.8 176.8

Variable Maximum Skewness Kurtosis
Data 642.7 1.79 4.07