EQT 271 SEM II 2011/2012
TUTORIAL CHAPTER 5
NONPARAMETRIC STATISTICS
1.
2.
A meteorologist has measured the amount of rain in four cities for six months. She wants to know
if there are different amounts of rain in the four cities. At 0.05 level, can we conclude the claim
by using Kruskal Wallis test. The following table shows the raw data:
City 1
City 2
City 3
City 4
68
119
70
61
93
116
68
54
123
101
54
59
83
103
73
67
108
113
81
59
122
84
68
70
Use the Wilcoxon Signed rank test to determine if the median of the population represented in
table below is different than 2.6. Use 0.05 significance level to test the claim.
2.1
1.8
2.3
2.9
1.8
2.6
3.1
2.2
2.5
2.4
1
EQT 271 SEM II 2011/2012
3.
Eight students went on a diet in an attempt to lose weight, with the following results:
Name
Abu
Ali
Chen
Rama
Subra
Lim
Tan
Amin
Weight Before (kg)
78
86
69
83
78
74
80
90
Weight After (kg)
66
87
64
80
73
65
75
87
Use the Wilcoxon signed-rank test to test whether the diet an effective mens of losing weight at
significance level 0.05.
4.
The following data gives the cholesterol levels for seven adults before and after they completed a
special dietry plan
Before
210
180
195
220
231
199
224
After
193
186
186
223
220
183
233
Use the Wilcoxon signed-rank test at the 5% significance level to test whether the level of
cholesterol is the same before and after completing special dietry plan. Draw your conclusion.
5.
The following tables gives the recorded grades for 10 engineering students on carry marks and
final examination in an Engineering Statistics course:
Student
Carry Marks
Final Examination
Ali
48
47
Bidin
46
45
Chua
38
42
Didi
43
40
Emily
36
38
Farouk
49
49
Gina
44
44
Hasan
42
46
Intan
34
37
Joe
40
34
Calculate the Spearman rank correlation coefficient to measure the relationship between carry
marks and final examination.
2
EQT 271 SEM II 2011/2012
6.
Two panels test 12 brands of computer chips for overall quality. The ranks assigned by the panels
are as follows:
Brand
Panel 1
Panel 2
A
10
9
B
6
3
C
1
4
D
7
5
E
3
6
F
8
7
G
2
8
H
5
2
I
9
10
J
4
1
K
8
7
L
9
6
Calculate the Spearman rank correlation coefficient to measure the relationship between the results given
by panel 1 and panel 2.
3