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Question 7
a
b
c
Sample
1
2
3
4
5
6
7
8
9
10
Values
12
12
12
15
14
14
15
15
14
14
12
12
12
14
12
12
12
12
12
12
Sum
38
39
44
49
41
41
47
47
46
46
average
14
15
20
20
15
15
20
20
20
20
mean of distribution average of mean sample
Population mean
(12+12+14+15+20)/5
Mean
12,67
13,00
14,67
16,33
13,67
13,67
15,67
15,67
15,33
15,33
14,60
14,60
14,60
The dispersion of the population is greater than that of the sample means. The
sample means vary from 12.66 to 16.33, whereas the population varies from 12 to
20
Question 11
a
0,1
0,05
0
0
1
population mean
2
3
4
5
(0+1+2+3+4+5+6+7+8+9)/10
6
7
4,5
8
9
b
Sample
1
2
3
4
5
6
7
8
9
10
3
Sum
11
31
21
24
21
20
23
29
35
27
1
2,2
X̅
2,2
6,2
4,2
4,8
4,2
4
4,6
5,8
7
5,4
1
1
2
4,2
4
4,6
1
4,8
2
1
0
2,2
4
4,2
4,6
4,8
5,4
5,8
6,2
7
The mean of the 10 sample means is 4.84, which is close to the
population mean of 4.5. The sample means range from 2.2 to 7.0,
whereas the population values range from 0 to 9.
From the above graph, the sample means tend to cluster between 4 and
5
1
5,4
1
5,8
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