Пытьев Ю.П., Шишмарев И.А. и др. Задачи по теории вероятностей и математической статистике
Подождите немного. Документ загружается.
Распределение Стьвдента. Доверительные границы для
i с II
степенями свободы
Таблица
2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
IS
12.710
31.820
63.660
636.600
20
4.303 6.965
9.925 31.600
21
3.182 4.541 5.841
12.920
22
"2.776 3.747
4.604
8.610 23
2.571
3.365 4.032 8.869
24
2.447
3.143
3.707
5.959
25
1
2.365 2.998 3.499
5.408
26
2.306 2.896
3.355
5.041 27
2.262
2.821
3.250
4.781 28
2.228
2.764 3.I6S
4.587
29
2.201 2.718
3.106
4.437
30
2.179
2.681
3.055
4.318 40
2.160
2.650
3.012
4.221 50.
2.145
2.624
2.977
4.140
60
2.131
2.602
2.947
4.073
80
2.120
2.583
2.921
4.015 100
2.НО
2.567 2.898 3.965
200
2.101
2.552 2.878 3.922
500
'2.093
2.539
2.861
3.883
ОО
2.5$ : 1$ :
0.5$ :
0.05$
:
п
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042
2.021
2.009
2.000
1.990
1.984
1.972
1.965
1.960
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.423
2.403
2.390
2.374
2.365
2.345
2.334
2.326
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.704
2.678
2.660
2.639
2.626
2.601
2.586
2.576
3.850
3.819
3.792
3.767
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.551
3.415
3.389
3.33ST
3.310
3.291
м
2.5$
1%
0.5$
0.05$
Односторонние границы
Односторонние границы
Распределение Пуассона, Функция
±3
Таблица
3
к=тс-
14
'
'X
ОС :
0.1 : 0.2 :
0.3
0.4
: 0.5
0
1.000000
1.000000
1.000000
1.000000
I.GOOCOO
т
j.
.095163 .181269
.259182
.329680
.393469
.004679
.017523 .036936
.061552
.090204
3
.000155
.001149 .00360С
.00792С .014388
4
.000057
.000266
.000776
.001752"
5
.000172
ОС
:
0.6 : 0.7 : 0.8 : 0.9
: 1.0
О
1.000000
1.000000 1.000000
1.000000 1.000000
_г
,451183
.503415 ;550671 .593430
.632121
2
.J2IS0I .155805
.191208 .227518
.264241
3
.023155
.034142 .047423 .062857 .080301
4
.003358 .005753 .009080 .013453
.018988
5
.000394
.000786 .001411 .002344 .003660
6
.000184
.000343 .000594
Продолжение табл.3
ОС : Т.2 :
1.4 : 1.6 :
1.8
:
2.0
О
1.000000
1.000000 1.000000 1.000000
I
.000000
I
.698806
.753403 .798103 .834701
.864665
2
.337373
.408167
.475069
.537163 .593994
3
.120513
.166502 .216642 .269379
.323324
4
.0Л3769 .053725
.078813 .108708
.142877
5
.007746
.014253 .023682 .036407 .052653
£
.001500
.003201 .006040
.010378 .016564
Г1
.000251 .000622
.001336 .002569 .004534
8
,000260 .000562 .001097
9
.000237
*
ОС :
2.2 :
2.4 :
2.6 :
2.8 :
3.0 : 4.0
1.000000
I.00000
1.000000
1.000000 1.000000
1,000000
х
.889197
.909282
.925726
.939190 .950213
.981684
2
.645430
.691559
.732615
.768922 .800852
.908422
3
.377286
.430291
.481570
.530546
.576810 .761897
4
.180648
.221227
.263998
.308063
.352768 .566530
5
.072496
.085869 .122577 .152324
.184737
.371163
Продолжение табл.3
ОС :
2.2
: . 2.4 : 2.6
: 2.8
: 3.0 : 4.0
6
I.0249IC 1.035673
1.049037
I.065II0
I.083918 I.214870
7
.007461
.011594
.017170
.024411
.033509
.110674
8
.001978 .003339
.005334 .008131
.011905
.051134
9
.000470
.000862
.001487 .002433 .003803
.021363
10
0.000376 0.000660 0.00II02
0.008132
II
.000292
.002340
12
.000915
ос
:
5.0
: 6.0 : 7.0
: 8.0 : 9.0 : 10.0
0
1.000000 1.000000 1.000000
1.000000 1.000000 1.000000
I
.993262 .997521 .999088 .999665
.999877 .999955
2
.959572 .932649 .922705 .996981
.998766
.999501
3
.875.348 .930031 .970364
.986246 .993768 .997231
4
.734974
.848796 .918235
.957620 .978774 .989664
5
.5535С7
.714943
.827008
.900368
.945036
.970747
6
..,840о9 .554320 .299292 .808764 .884309 .932914
7
.237817
.393697
.550289
.606626
.793219
.869859
Г-
.133372
.256020 .401286 .547039 .676103
.779779
с
.008094 .152763
.270909
.407453 .544347
.667180
Окончание табл.3
-х :
5.0 : 6.0
: 7.0
: 8.0
: 9.0
: 10.0
10
I.031828
1.033924
I.169504
1.283376
I.412592 1.542070
II
.013695
.042621
.098521
.184114
.294012
.416960
12
.005453
.020092
.053350
.111924
.196662
.303924
13
.002019
.008827
.027000
.063797
.124227
.208444
14
.000698
.003628
.012811
. .0-34181
.073851
.135536
15
.001400
.005717
.017257
.041466
.083459
16
.000509 .002407
.008231
.022036
.048740
17
.000958
.003718
.011106
.027042
18
.001594
.005320
.014278
19
.0006.50
.002426
.007187
20
.001056
.003454
,21
99
.000439
.001588
,21
99
.000700
Распределение Пирсона хи-квадрат
Таблица
4
Значения
£ =
е(<А,гС)
в
Р >£ } = 1- Л
П><!
0.99
0.98
! 0.95 ! 0.90
! 0.80
! 0.20
I
0.00016 0.00063 0.00393
0.0158 0.0642
1.642
2
0.0201 0.0404
0.103
0.2II
0.446
3.219
3
0.II5
0.185
0.352
0.584
1.005
4.642
4
0.297
0.429
1.064 1.649
5.989
5
0.554 0.752
1.145
1.610
7.289
6
0.872 I.I34
1.635
2.204
3.070
8.558
7
1.239 1.564
2.167
2.833
3.822
9.803
8 1.646
2.032
2.733
3.490
4.594
11.030
9
2.088 2.532
3.325
4.168
5.380
12.242
10
2.558
3.059 3.940
4.865
6.179
13.442
II
3.053 3.609 4.575
5.578
6.989
14.631
12
3.571
4.178
5.226
6.304 7.807
15.812
13
4.107
4.765
5.892
7.042
8.634
16.985
14
4.660 5.368
6.571
7.790 9.467
18.151
15
5.229
.
5.985
7.262 8.547
10.307
19.311
16 5.812 6.614
7.962
9.312
II.152
20.465
17
6.408
-
7.255
8.672
10.085
12.002
21.615
18 7.015
7.906
9.390 10.865 12.857
22.760
19
7.633
8.567
10.117
II.651
13.716 23.900
Продолжение табл.3
0.99
1
0.98 ! 0.95
0.90
! 0.80
! 0.20
20
8.260
9.237 10.851 12.443
14.578
25.038
21
8.897
9.915
II.5SI
13.240
15.445
26.171
22
9.542
10.600 12.338
14.041
16.314 27.301
23
10.196 11.293
13.091
14.848
17.187 28.429
24
10.856
11.292
13.848
15.659
18.062 29.553
25
11.524
12.697
14.611
16.473
18.940
30.675
26
12.198 13.409
15.379
17.292
19.820
31.795
27
12.879
14.125
16.151 18.114
20.703 31.912
28
13.565
14.847
16.928
18.939
21.588
34.027
29
14.256
15.574
17.708
19.768
22.475
35.139
30
14.953
16.306
18.493
20.599
23.364 36.250
Г**!
0.10 !
0.05 0.02 0.01 ! 0.
001
pjs*!
0.10
0.05 » 0.02
! 0.01 ! 0.001
I
2.706
3.841 5.412
6.635 10.827
7
12.017
14.067
16.
622
18.475 24.322
2
4.605
5.991
7.824
9.210
13.815
8
13.362
15.507
18.
168
20.090 26.125
3
6.251 7.815
9.837
II.341
16.
268 9
14.684
16.919
19. 679
21.666 27.877
4
7.779
9.488
i
11.668
13.277
18. 465 10
15.987
18.307
21.
161
23.209 29.588
5
9.236
11.070'
13.388
15.086
20.
517
II
17.275
19.675
22. 618
24.725 31.264
6
10.645
12.592 15.033 16.812
22.
457
12
18.549
21.026
24.
054
26.217 32.909