Завдання 81-90
За даними двох
незалежних вибірок об’єму n1
та n2
із
нормальних сукупностей X
та Y
знайдені виправлені вибіркові дисперсії
та
.
При
рівні значущості
=
0,05 перевірити гіпотезу H0:
D(X) = D(Y) при
альтернативній H1:
D(X) > D(Y).
81. n1 = 8, n2 = 5, = 0,98, = 0,69.
82. n1 = 10, n2 = 8, = 0,49, = 0,77.
83. n1 = 12, n2 = 8, = 0,81, = 0,94.
84. n1 = 10, n2 = 6, = 0,74, = 0,69.
85. n1 = 9, n2 = 6, = 0,46, = 0,73.
86. n1 = 8, n2 = 7, = 0,76, = 0,87.
87. n1 = 11, n2 = 7, = 0,48, = 0,91.
88. n1 = 12, n2 = 10, = 0,64, = 0,71.
89. n1 = 13, n2 = 8, = 0,76, = 0,98.
90. n1 = 12, n2 = 6, = 0,84, = 0,72.
Завдання 91-100
Знайти вибіркове рівняння прямої лінії регресії Y на X за даними кореляційної таблиці; перевірити значущість параметрів і тісноту кореляційного зв’язку.
91.
Y |
|
|
|
X |
|
|
|
5 |
10 |
15 |
20 |
25 |
30 |
ny |
|
10 |
4 |
6 |
10 |
– |
– |
– |
20 |
20 |
– |
– |
5 |
15 |
4 |
– |
24 |
30 |
– |
– |
– |
– |
6 |
– |
6 |
40 |
– |
– |
– |
– |
35 |
5 |
40 |
50 |
– |
– |
– |
– |
– |
10 |
10 |
nx |
4 |
6 |
15 |
15 |
45 |
15 |
n = 100 |
92.
Y |
|
|
|
X |
|
|
|
10 |
20 |
30 |
40 |
50 |
60 |
ny |
|
16 |
– |
15 |
25 |
– |
– |
– |
40 |
26 |
– |
– |
– |
10 |
– |
– |
10 |
36 |
– |
– |
– |
5 |
10 |
– |
15 |
46 |
– |
– |
– |
– |
5 |
– |
5 |
56 |
– |
– |
– |
– |
22 |
8 |
30 |
nx |
– |
15 |
25 |
15 |
37 |
8 |
n = 100 |
93.
Y |
|
|
|
X |
|
|
|
20 |
25 |
30 |
35 |
40 |
45 |
ny |
|
30 |
10 |
15 |
5 |
– |
– |
– |
30 |
50 |
– |
4 |
6 |
20 |
– |
– |
30 |
70 |
– |
– |
– |
8 |
– |
– |
8 |
90 |
– |
– |
– |
– |
12 |
– |
12 |
110 |
– |
– |
– |
– |
3 |
17 |
20 |
nx |
10 |
19 |
11 |
28 |
15 |
17 |
n = 100 |
94.
Y |
|
|
|
X |
|
|
|
18 |
23 |
28 |
33 |
38 |
43 |
ny |
|
20 |
– |
13 |
12 |
15 |
– |
– |
40 |
30 |
– |
– |
4 |
6 |
10 |
– |
20 |
40 |
– |
– |
– |
– |
7 |
– |
7 |
50 |
– |
– |
– |
– |
6 |
17 |
23 |
60 |
– |
– |
– |
– |
2 |
8 |
10 |
nx |
– |
13 |
16 |
21 |
25 |
25 |
n = 100 |
95.
Y |
|
|
|
X |
|
|
|
15 |
25 |
35 |
45 |
55 |
65 |
ny |
|
20 |
2 |
4 |
9 |
– |
– |
– |
15 |
40 |
– |
– |
5 |
2 |
– |
– |
7 |
60 |
– |
– |
– |
3 |
– |
– |
3 |
80 |
– |
– |
– |
10 |
7 |
– |
17 |
100 |
– |
– |
– |
– |
– |
8 |
8 |
nx |
2 |
4 |
14 |
15 |
7 |
8 |
n = 50 |
96.
Y |
|
|
|
X |
|
|
|
30 |
35 |
40 |
45 |
50 |
55 |
ny |
|
50 |
– |
– |
10 |
20 |
– |
– |
30 |
60 |
– |
– |
– |
15 |
25 |
– |
40 |
70 |
– |
– |
– |
– |
6 |
4 |
10 |
80 |
– |
– |
– |
– |
7 |
8 |
15 |
90 |
– |
– |
– |
– |
– |
5 |
5 |
nx |
– |
– |
10 |
35 |
38 |
17 |
n = 100 |
97.
Y |
|
|
|
X |
|
|
|
6 |
16 |
26 |
36 |
46 |
56 |
ny |
|
5 |
3 |
17 |
– |
– |
– |
– |
20 |
25 |
– |
– |
4 |
6 |
– |
– |
10 |
45 |
– |
– |
– |
15 |
25 |
– |
40 |
65 |
– |
– |
– |
– |
8 |
7 |
15 |
85 |
– |
– |
– |
– |
– |
15 |
15 |
nx |
3 |
17 |
4 |
21 |
33 |
22 |
n = 100 |
98.
Y |
|
|
|
X |
|
|
|
13 |
23 |
33 |
43 |
53 |
63 |
ny |
|
10 |
– |
10 |
5 |
15 |
– |
– |
30 |
30 |
– |
– |
– |
20 |
– |
– |
20 |
50 |
– |
– |
– |
7 |
23 |
– |
30 |
70 |
– |
– |
– |
– |
6 |
– |
6 |
90 |
– |
– |
– |
– |
4 |
10 |
14 |
nx |
– |
10 |
5 |
42 |
33 |
10 |
n = 100 |
99.
Y |
|
|
|
X |
|
|
|
5 |
15 |
25 |
35 |
45 |
55 |
ny |
|
10 |
– |
– |
2 |
3 |
– |
– |
5 |
15 |
– |
– |
– |
7 |
– |
– |
7 |
20 |
– |
– |
– |
6 |
8 |
– |
14 |
25 |
– |
– |
– |
– |
14 |
– |
14 |
30 |
– |
– |
– |
– |
6 |
4 |
10 |
nx |
– |
– |
2 |
16 |
28 |
4 |
n = 50 |
100.
Y |
|
|
|
X |
|
|
|
12 |
22 |
32 |
42 |
52 |
62 |
ny |
|
20 |
10 |
8 |
2 |
– |
– |
– |
20 |
40 |
– |
15 |
5 |
3 |
– |
– |
23 |
60 |
– |
– |
17 |
10 |
– |
– |
27 |
80 |
– |
– |
– |
8 |
2 |
– |
10 |
100 |
– |
– |
– |
– |
13 |
7 |
20 |
nx |
10 |
23 |
24 |
21 |
15 |
7 |
n = 100 |