- •Составители: е.В. Журавлева, е.А. Панина.
- •Содержание Введение…………………………………………………………………………….4
- •Теоретический тест – тренинг
- •Вариант 1
- •Вариант 2
- •Вариант 3
- •Вариант 4
- •2. Практические упражнения
- •2.1. Задание 1
- •2.2. Задание 2 По заданному в нижеследующих задачах статистическому ряду выборки найти
- •2.3. Задание 3
- •Индивидуальные задачи к заданию 3
- •2.4. Задание 4
- •2.5. Задание 5
- •2.6. Задание 6
- •Задание 7
- •3. Примеры решения задач
- •Пример 1
- •Пример 2
2.5. Задание 5
Для заданного интервального ряда выборки проверить гипотезу: закон распределения генеральной совокупности является нормальным.
Таблица 2.3
Индивидуальные данные к заданию 5
|
m |
Интервалы |
||||||
|
Частоты |
|||||||
|
1 |
2 |
||||||
|
1 |
(102,5; 107,5) |
(107,5; 112,5) |
(112,5; 117,5) |
(117,5; 122,5) |
(122,5; 127,5) |
(127,5; 132,5) |
(132,5; 137,5) |
|
|
4 |
6 |
10 |
40 |
20 |
12 |
8 |
|
2 |
(12,25; 12,75) |
(12,75; 13,25) |
(13,25; 13,75) |
(13,75; 14,25) |
(14,25; 14,75) |
(14,75; 15,25) |
(15,25; 15,75) |
|
|
5 |
15 |
40 |
25 |
8 |
4 |
3 |
|
3 |
(9,85; 10,55) |
(10,55; 11,25) |
(11,25; 11,95) |
(11,95; 12,65) |
(12,65; 13,35) |
(13,35; 14,05) |
(14,05; 14,75) |
|
|
8 |
10 |
60 |
12 |
5 |
3 |
2 |
Продолжение табл. 2.3
|
1 |
2 |
||||||
|
4 |
(42,5; 47,5) |
(47,5; 52,5) |
(52,5; 57,5) |
(57,5; 62,5) |
(62,5; 67,5) |
(67,5; 72,5) |
(72,5; 77,5) |
|
|
4 |
7 |
11 |
38 |
20 |
12 |
8 |
|
5 |
(107,5; 112,5) |
(112,5; 117,5) |
(117,5; 122,5) |
(122,5; 127,5) |
(127,5; 132,5) |
(132,5; 137,5) |
(137,5; 142,5) |
|
|
5 |
10 |
30 |
25 |
15 |
10 |
5 |
|
6 |
(10,4; 14,4) |
(14,4; 18,4) |
(18,4; 22,4) |
(22,4; 26,4) |
(26,4; 30,4) |
(30,4; 34,4) |
(34,4; 38,4) |
|
|
7 |
15 |
35 |
20 |
10 |
7 |
6 |
|
7 |
(23;29) |
(29;35) |
(35;41) |
(41;47) |
(47;53) |
(53;59) |
(59;65) |
|
|
5 |
15 |
35 |
24 |
10 |
6 |
5 |
|
8 |
(8,1; 13,1) |
(13,1; 18,1) |
(18,1; 23,1) |
(23,1; 28,1) |
(28,1; 33,1) |
(33,1; 38,1) |
(38,1; 43,5) |
|
|
8 |
10 |
50 |
16 |
7 |
5 |
4 |
|
9 |
(95;105) |
(105; 115) |
(115; 125) |
(125; 135) |
(135; 145) |
(145; 155) |
(155; 165) |
|
|
4 |
6 |
10 |
40 |
20 |
12 |
8 |
|
10 |
(125; 135) |
(135; 145) |
(145; 155) |
(155; 165) |
(165; 175) |
(175; 185) |
(185; 195) |
|
|
5 |
10 |
30 |
25 |
15 |
10 |
5 |
|
11 |
(1,1;1,3) |
(1,3;1,5) |
(1,5;1,7) |
(1,7;1,9) |
(1,9;2,1) |
(2,1;2,3) |
(2,3;2,5) |
|
|
5 |
15 |
40 |
20 |
15 |
8 |
7 |
|
12 |
(3,3;3,7) |
(3,7;4,1) |
(4,1;4,5) |
(4,5;4,9) |
(4,9;5,3) |
(5,3;5,7) |
(5,7;6,1) |
|
|
5 |
15 |
45 |
25 |
15 |
10 |
5 |
|
13 |
(120; 130) |
(130; 140) |
(140; 150) |
(150; 160) |
(160; 170) |
(170; 180) |
(180; 190) |
|
|
4 |
10 |
40 |
26 |
9 |
6 |
5 |
|
14 |
(25;30) |
(30;35) |
(35;40) |
(40;45) |
(45;50) |
(50;55) |
(55;60) |
|
|
10 |
25 |
50 |
80 |
45 |
25 |
15 |
|
15 |
(12,25; 12,75) |
(12,75; 13,25) |
(13,25; 13,75) |
(13,75; 14,25) |
(14,25; 14,75) |
(14,75; 15,25) |
(15,25; 15,75) |
|
|
15 |
35 |
60 |
90 |
55 |
30 |
15 |
|
16 |
(2,2;3,0) |
(3,0;3,8) |
(3,8;4,6) |
(4,6;5,4) |
(5,4;6,2) |
(6,2;7,0) |
(7,0;7,8) |
|
|
5 |
10 |
35 |
20 |
15 |
8 |
7 |
|
17 |
(14,3; 14,9) |
(14,9; 15,5) |
(15,5; 16,1) |
(16,1; 16,7) |
(16,7; 17,3) |
(17,3; 17,9) |
(17,9; 18,5) |
|
|
10 |
35 |
65 |
90 |
50 |
35 |
15 |
|
18 |
(102,5; 107,5) |
(107,5; 112,5) |
(112,5; 117,5) |
(117,5; 122,5) |
(122,5; 127,5) |
(127,5; 132,5) |
(132,5; 137,5) |
|
|
10 |
40 |
70 |
95 |
50 |
30 |
5 |
Продолжение табл. 2.3
|
1 |
2 |
||||||
|
19 |
(12,25; 12,75) |
(12,75; 13,25) |
(13,25; 13,75) |
(13,75; 14,25) |
(14,25; 14,75) |
(14,75; 15,25) |
(15,25; 15,75) |
|
|
10 |
35 |
60 |
95 |
55 |
30 |
15 |
|
20 |
(9,85; 10,55) |
(10,55; 11,25) |
(11,25; 11,95) |
(11,95; 12,65) |
(12,65; 13,35) |
(13,35; 14,05) |
(14,05; 14,75) |
|
|
5 |
35 |
60 |
95 |
65 |
30 |
10 |
|
21 |
(42,5; 47,5) |
(47,5; 52,5) |
(52,5; 57,5) |
(57,5; 62,5) |
(62,5; 67,5) |
(67,5; 72,5) |
(72,5; 77,5) |
|
|
15 |
30 |
40 |
80 |
55 |
20 |
10 |
|
22 |
(107,5; 112,5) |
(112,5; 117,5) |
(117,5; 122,5) |
(122,5; 127,5) |
(127,5; 132,5) |
(132,5; 137,5) |
(137,5; 142,5) |
|
|
5 |
20 |
40 |
60 |
35 |
25 |
15 |
|
23 |
(10,4; 14,4) |
(14,4; 18,4) |
(18,4; 22,4) |
(22,4; 26,4) |
(26,4; 30,4) |
(30,4; 34,4) |
(34,4; 38,4) |
|
|
10 |
30 |
40 |
85 |
45 |
25 |
15 |
|
24 |
(23;29) |
(29;35) |
(35;41) |
(41;47) |
(47;53) |
(53;59) |
(59;65) |
|
|
5 |
15 |
40 |
60 |
40 |
30 |
10 |
|
25 |
(8,1; 13,1) |
(13,1; 18,1) |
(18,1; 23,1) |
(23,1; 28,1) |
(28,1; 33,1) |
(33,1; 38,1) |
(38,1; 43,5) |
|
|
5 |
15 |
40 |
60 |
45 |
25 |
10 |
|
26 |
(95;105) |
(105; 115) |
(115; 125) |
(125; 135) |
(135; 145) |
(145; 155) |
(155; 165) |
|
|
10 |
30 |
60 |
90 |
70 |
30 |
10 |
|
27 |
(125; 135) |
(135; 145) |
(145; 155) |
(155; 165) |
(165; 175) |
(175; 185) |
(185; 195) |
|
|
10 |
35 |
65 |
90 |
55 |
35 |
10 |
|
28 |
(1,1;1,3) |
(1,3;1,5) |
(1,5;1,7) |
(1,7;1,9) |
(1,9;2,1) |
(2,1;2,3) |
(2,3;2,5) |
|
|
5 |
20 |
35 |
60 |
45 |
20 |
15 |
|
29 |
(3,3;3,7) |
(3,7;4,1) |
(4,1;4,5) |
(4,5;4,9) |
(4,9;5,3) |
(5,3;5,7) |
(5,7;6,1) |
|
|
10 |
25 |
55 |
85 |
65 |
40 |
20 |
|
30 |
(120; 130) |
(130; 140) |
(140; 150) |
(150; 160) |
(160; 170) |
(170; 180) |
(180; 190) |
|
|
5 |
10 |
15 |
40 |
20 |
6 |
4 |
|
31 |
(25;30) |
(30;35) |
(35;40) |
(40;45) |
(45;50) |
(50;55) |
(55;60) |
|
|
10 |
25 |
40 |
80 |
65 |
20 |
10 |
|
32 |
(12,25; 12,75) |
(12,75; 13,25) |
(13,25; 13,75) |
(13,75; 14,25) |
(14,25; 14,75) |
(14,75; 15,25) |
(15,25; 15,75) |
|
|
5 |
20 |
50 |
90 |
65 |
45 |
25 |
|
33 |
(2,2;3,0) |
(3,0;3,8) |
(3,8;4,6) |
(4,6;5,4) |
(5,4;6,2) |
(6,2;7,0) |
(7,0;7,8) |
|
|
10 |
15 |
30 |
60 |
40 |
35 |
20 |
Продолжение табл. 2.3
|
1 |
2 |
||||||
|
34 |
(14,3; 14,9) |
(14,9; 15,5) |
(15,5; 16,1) |
(16,1; 16,7) |
(16,7; 17,3) |
(17,3; 17,9) |
(17,9; 18,5) |
|
|
5 |
15 |
40 |
60 |
40 |
30 |
10 |
|
35 |
(102,5; 107,5) |
(107,5; 112,5) |
(112,5; 117,5) |
(117,5; 122,5) |
(122,5; 127,5) |
(127,5; 132,5) |
(132,5; 137,5) |
|
|
5 |
10 |
35 |
20 |
15 |
8 |
7 |