1. Hair length was measured in two samples of ten randomly chosen male students doing their studies
at the faculty of science and faculty of law.
The measured hair length (in cm) were
F. Sci.: 14, 17, 29, 14, 14, 11, 39, 23, 18, 8, 51, 36
F. Law: 6,8, 2, 3, 4,2,10,21, 5, 8, 3, 5
Does the hair length of guys significantly differ depending at which faculty they do their studies?
2. Number of vacular plant species was recorded in 10 countries. How does the number of species
depend on country area?
3. Aggressiveness of football fans was monitored at 20 football matches of different leagues (0 =
district league, 5 = Champions' league) on an ordinal scale (0 = calm fans, 1 = loud support to players,
2 = loud support + some fireworks, 3 = loud support + many fireworks, 4 = fireworks thrown on the
pitch, 5 = fans running on the pitch, 6 = fans running on the pitch and attacking the referee.
The resulting data were as follows:
match ID league aggressiveness
1 2 0
2 0 3
3 2 4
4 3 3
5 4 0
6 5 1
7 2 3
8 4 4
9 2 4
10 3 5
11 4 0
12 3 1
13 2 4
14 3 5
species
5 250
30 600
59 550
52365 2900
180964 3830
65 650
25160 2100
2300 980
32150 2300
56861 2800
150670 3300
98765 3050
143458 3489
area [km2
]
15 1 5
16 2 2
17 1 4
18 0 3
19 5 2
20 5 3
Is aggressivness of fans associated with league level?
4. During a final of pizza tasting competition, 10 evaluators tasted pairs of pizzas samples prepared by
cooks Francesco and Giacomo. Their evaluation (on a scale 1-5, 1 is best, 5 worst) was following:
Francesco: 1,2,1,1,3,1,1,2,1,2
Giacomo: 1,3,2,3,1,2,1,2,2,1
Is there any significant difference in quality of pizza, these guys make? Who will be the winner of the
competition?
5. Joint damage in left and right shoulder of 6 right handed elderly tennis players was analyzed using
X-rays and classified on the scale (0 no damage – 5 complete dissintegration of joint).
Results are summarized in the following table.
left right
1 2
2 2
4 4
4 5
2 2
3 3
Is there any significant difference between damage of the right and left shoulder joint of the players?
6. 24 people read 24 books (one each) written by four different authors (6 by each). After reading the
book, they were asked to rate the book on the scale: 1 – annoying, 2 – boring, 3 – mostly boring with
some enjoyable parts, 4 – enjoyable, 5 – wonderful.
The resulting data are summarized below:
Ernest Hemingway: 4, 5, 4, 4, 3, 4
Charles Dickens: 2, 4, 5, 5, 2, 4
Alexander Pushkin: 3, 4, 5, 4, 3, 3
Lev Tolstoy: 2, 1, 3,2, 3, 2
Is there any significant difference in rating among these authors?
Who of them has the highest average rating?