Phụ lục xác suất thống kê

University of Information Technology
Phụ lục 5: Bảng giá trị của phân vị chuẩn uγ [P(Uγ
0.50
0.51
0.52
0.53
0.54
0.55
0.56
0.57
0.58
0.59
0.60
0.61
0.62
0.63
0.64
0.65
0.66
0.67
0.68
0.69
0.70
0.71
0.72
0.73
0.74

uγ
0.000

0.025
0.030
0.075
0.100
0.125
0.151
0.175
0.202
0.228
0.253
0.279
0.305
0.332
0.358
0.385
0.412
0.440
0.468
0.496
0.524
0.553
0.583
0.613
0.643

γ
0.75
0.76
0.77
0.78

0.79
0.80
0.81
0.82
0.83
0.84
0.85
0.86
0.87
0.88
0.89
0.90
0.905
0.910
0.915
0.920
0.925
0.930
0.935
0.940
0.945

Với (-u) = 1 - (u)



uγ
0.674
0.706
0.739

0.772
0.806
0.842
0.878
0.915
0.954
0.994
1.036
1.080
1.126
1.175
1.227
1.282
1.311
1.341
1.372
1.405
1.440
1.476
1.514
1.555
1.598

γ
0.950
0.951
0.952
0.953
0.954
0.955

0.956
0.957
0.958
0.959
0.960
0.961
0.962
0.963
0.964
0.965
0.966
0.967
0.968
0.969
0.970
0.971
0.972
0.973
0.974

uγ
1.645
1.655
1.665
1.675
1.685
1.695
1.706
1.717
1.728

1.739
1.751
1.762
1.774
1.787
1.799
1.812
1.825
1.837
1.852
1.866
1.881
1.896
1.911
1.927
1.943

γ
0.975
0.976
0.977
0.978
0.979
0.980
0.981
0.982
0.983
0.984
0.985
0.986

0.987
0.988
0.989
0.990
0.991
0.992
0.993
0.994
0.995
0.996
0.997
0.998
0.999

uγ
1.960
1.977
1.996
2.014
2.034
2.054
2.075
2.097
2.120
2.144
2.170
2.197
2.226
2.257
2.290

2.326
2.368
2.409
2.457
2.512
2.576
2.652
2.748
2.878
3.090


University of Information Technology
Phụ lục 6: Bảng giá trị phân vị
Với P(
α

k

1
2
3
4
5
6
7
8
9
10
11

12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30

<

(khi bình phương) –

)= α (k là bậc tự do)

0.99

0.975

0.95

0.05

0.025

0.01

6.5
9.2
11.3
13.3
15.1
16.8
18.5
20.1
21.7
23.2
24.7
26.2
27.7
29.1
30.6
32.0
33.4
34.8
36.2
37.6
38.9
39.3

41.6
43.0
44.3
45.6
47.0
48.3
49.6
50.9

5.0
7.4
9.4
11.1
12.8
14.4
16.0
17.5
19.0
20.5
21.9
23.3
24.7
26.1
27.5
28.8
30.2
31.5
32.9
34.2
35.5

36.8
38.1
39.4
40.6
41.9
43.2
44.5
45.7
47.0

3.8
6.0
7.8
9.5
11.1
12.6
14.1
15.5
16.9
18.2
19.7
21.0
22.4
23.7
25.0
26.3
27.6
28.9
30.1
31.4

32.7
33.9
35.2
36.4
37.7
38.9
40.1
41.3
42.6
43.8

0.0039
0.103
0.352
0.711
1.15
1.64
2.17
2.73
3.33
3.94
4.54
5.23
5.99
6.57
7.26
7.96
8.57
9.39
10.1

10.9
11.6
12.3
13.1
13.8
14.6
15.4
16.2
16.9
17.7
18.5

0.00098
0.051
0.216
0.484
0.831
1.24
1.69
2.18
1.70
3.25
3.82
4.40
5.01
5.63
6.26
6.91
7.56
8.23

8.91
9.59
10.3
11.0
11.7
12.4
13.1
13.8
14.6
15.3
16.0
16.8

0.00016
0.020
0.115
0.297
0.554
0.872
1.24
1.65
2.09
2.56
3.05
3.57
4.11
4.56
5.23
5.81
6.41

7.01
7.63
8.26
8.90
9.54
10.2
10.9
11.5
12.2
12.9
13.5
14.3
15.0




University of Information Technology
Phụ lục 7: Bảng phân vị Student tγ , P(Tγ

n

1
2
3
4
5
6
7

8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30

0.90

0.95

0.975

0.99

0.995

3.078
1.886
1.638
1.553
1.476
1.440
1.415
1.379
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315

1.314
1.313
1.311
1.310

6.134
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708

1.706
1.703
1.701
1.699
1.697

12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064

2.060
2.056
2.052
2.048
2.045
2.042

31.821
6.965
4.541
3.767
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500

2.492
2.485
2.479
2.473
2.467
2.462
2.457

63.657
9.925
5.842
4.601
4.032
3.707
3.499
3.335
3.250
3.169
3.106
3.055
3.012
2.977
2.954
2.921
2.898
2.878
2.861
2.845
2.831
2.819

2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750