PHỤ LỤC 2.GIÁ TRỊ TỚI HẠN PHÂN PHỐI STUDENT
P
Z
t
n
;
Z
~ t
n
Example:
t
19
2,5395;
t
25
2,0595
0,01 0,025
0.005
0.01
0.02
0.025
0.03
0.04
0.05
0.06
0.07
0.075
0.08
0.09
0.1
0.15
0.2
63.6567
31.8205
15.8945
12.7062
10.5789
7.9158
6.3138
5.2422
4.4737
4.1653
3.8947
3.4420
3.0777
1.9626
1.3764
9.9248
6.9646
4.8487
4.3027
3.8964
3.3198
2.9200
2.6202
2.3834
2.2819
2.1894
2.0261
1.8856
1.3862
1.0607
5.8409
4.5407
3.4819
3.1824
2.9505
2.6054
2.3534
2.1562
1.9950
1.9243
1.8589
1.7413
1.6377
1.2498
0.9785
4.6041
3.7469
2.9985
2.7764
2.6008
2.3329
2.1318
1.9712
1.8375
1.7782
1.7229
1.6226
1.5332
1.1896
0.9410
4.0321
3.3649
2.7565
2.5706
2.4216
2.1910
2.0150
1.8727
1.7529
1.6994
1.6493
1.5579
1.4759
1.1558
0.9195
3.7074
3.1427
2.6122
2.4469
2.3133
2.1043
1.9432
1.8117
1.7002
1.6502
1.6033
1.5172
1.4398
1.1342
0.9057
3.4995
2.9980
2.5168
2.3646
2.2409
2.0460
1.8946
1.7702
1.6643
1.6166
1.5718
1.4894
1.4149
1.1192
0.8960
3.3554
2.8965
2.4490
2.3060
2.1892
2.0042
1.8595
1.7402
1.6383
1.5922
1.5489
1.4691
1.3968
1.1081
0.8889
3.2498
2.8214
2.3984
2.2622
2.1504
1.9727
1.8331
1.7176
1.6185
1.5737
1.5315
1.4537
1.3830
1.0997
0.8834
3.1693
2.7638
2.3593
2.2281
2.1202
1.9481
1.8125
1.6998
1.6031
1.5592
1.5179
1.4416
1.3722
1.0931
0.8791
3.1058
2.7181
2.3281
2.2010
2.0961
1.9284
1.7959
1.6856
1.5906
1.5476
1.5069
1.4318
1.3634
1.0877
0.8755
3.0545
2.6810
2.3027
2.1788
2.0764
1.9123
1.7823
1.6739
1.5804
1.5380
1.4979
1.4237
1.3562
1.0832
0.8726
3.0123
2.6503
2.2816
2.1604
2.0600
1.8989
1.7709
1.6641
1.5718
1.5299
1.4903
1.4170
1.3502
1.0795
0.8702
2.9768
2.6245
2.2638
2.1448
2.0462
1.8875
1.7613
1.6558
1.5646
1.5231
1.4839
1.4113
1.3450
1.0763
0.8681
2.9467
2.6025
2.2485
2.1314
2.0343
1.8777
1.7531
1.6487
1.5583
1.5172
1.4784
1.4063
1.3406
1.0735
0.8662
2.9208
2.5835
2.2354
2.1199
2.0240
1.8693
1.7459
1.6425
1.5529
1.5121
1.4736
1.4021
1.3368
1.0711
0.8647
2.8982
2.5669
2.2238
2.1098
2.0150
1.8619
1.7396
1.6370
1.5482
1.5077
1.4694
1.3983
1.3334
1.0690
0.8633
2.8784
2.5524
2.2137
2.1009
2.0071
1.8553
1.7341
1.6322
1.5439
1.5037
1.4656
1.3950
1.3304
1.0672
0.8620
2.8609
2.5395
2.2047
2.0930
2.0000
1.8495
1.7291
1.6280
1.5402
1.5002
1.4623
1.3920
1.3277
1.0655
0.8610
2.8453
2.5280
2.1967
2.0860
1.9937
1.8443
1.7247
1.6242
1.5369
1.4970
1.4593
1.3894
1.3253
1.0640
0.8600
2.8314
2.5176
2.1894
2.0796
1.9880
1.8397
1.7207
1.6207
1.5338
1.4942
1.4567
1.3870
1.3232
1.0627
0.8591
2.8188
2.5083
2.1829
2.0739
1.9829
1.8354
1.7171
1.6176
1.5311
1.4916
1.4542
1.3848
1.3212
1.0614
0.8583
2.8073
2.4999
2.1770
2.0687
1.9782
1.8316
1.7139
1.6148
1.5286
1.4893
1.4520
1.3828
1.3195
1.0603
0.8575
2.7969
2.4922
2.1715
2.0639
1.9740
1.8281
1.7109
1.6122
1.5263
1.4871
1.4500
1.3810
1.3178
1.0593
0.8569
2.7874
2.4851
2.1666
2.0595
1.9701
1.8248
1.7081
1.6098
1.5242
1.4852
1.4482
1.3794
1.3163
1.0584
0.8562
2.7787
2.4786
2.1620
2.0555
1.9665
1.8219
1.7056
1.6076
1.5223
1.4834
1.4464
1.3778
1.3150
1.0575
0.8557
2.7707
2.4727
2.1578
2.0518
1.9632
1.8191
1.7033
1.6056
1.5205
1.4817
1.4449
1.3764
1.3137
1.0567
0.8551
2.7633
2.4671
2.1539
2.0484
1.9601
1.8166
1.7011
1.6037
1.5189
1.4801
1.4434
1.3751
1.3125
1.0560
0.8546
2.7564
2.4620
2.1503
2.0452
1.9573
1.8142
1.6991
1.6020
1.5174
1.4787
1.4421
1.3739
1.3114
1.0553
0.8542
2.7500
2.4573
2.1470
2.0423
1.9546
1.8120
1.6973
1.6004
1.5159
1.4774
1.4408
1.3728
1.3104
1.0547
0.8538
2.7440
2.4528
2.1438
2.0395
1.9522
1.8100
1.6955
1.5988
1.5146
1.4761
1.4396
1.3717
1.3095
1.0541
0.8534
2.7385
2.4487
2.1409
2.0369
1.9499
1.8081
1.6939
1.5974
1.5134
1.4749
1.4385
1.3707
1.3086
1.0535
0.8530
2.7333
2.4448
2.1382
2.0345
1.9477
1.8063
1.6924
1.5961
1.5122
1.4738
1.4375
1.3698
1.3077
1.0530
0.8526
2.7284
2.4411
2.1356
2.0322
1.9457
1.8046
1.6909
1.5949
1.5111
1.4728
1.4365
1.3689
1.3070
1.0525
0.8523
2.7238
2.4377
2.1332
2.0301
1.9438
1.8030
1.6896
1.5937
1.5101
1.4718
1.4356
1.3681
1.3062
1.0520
0.8520
2.7195
2.4345
2.1309
2.0281
1.9419
1.8015
1.6883
1.5926
1.5091
1.4709
1.4347
1.3673
1.3055
1.0516
0.8517
2.7154
2.4314
2.1287
2.0262
1.9402
1.8001
1.6871
1.5915
1.5082
1.4701
1.4339
1.3666
1.3049
1.0512
0.8514
2.7116
2.4286
2.1267
2.0244
1.9386
1.7988
1.6860
1.5905
1.5073
1.4692
1.4331
1.3659
1.3042
1.0508
0.8512
2.7079
2.4258
2.1247
2.0227
1.9371
1.7975
1.6849
1.5896
1.5065
1.4685
1.4324
1.3652
1.3036
1.0504
0.8509
2.7045
2.4233
2.1229
2.0211
1.9357
1.7963
1.6839
1.5887
1.5057
1.4677
1.4317
1.3646
1.3031
1.0500
0.8507
2.6778
2.4033
2.1087
2.0086
1.9244
1.7870
1.6759
1.5818
1.4996
1.4620
1.4263
1.3598
1.2987
1.0473
0.8489
2.6603
2.3901
2.0994
2.0003
1.9170
1.7808
1.6706
1.5772
1.4956
1.4582
1.4227
1.3566
1.2958
1.0455
0.8477
2.6479
2.3808
2.0927
1.9944
1.9118
1.7765
1.6669
1.5740
1.4927
1.4555
1.4202
1.3543
1.2938
1.0442
0.8468
2.6387
2.3739
2.0878
1.9901
1.9078
1.7732
1.6641
1.5716
1.4906
1.4535
1.4183
1.3526
1.2922
1.0432
0.8461
2.6316
2.3685
2.0839
1.9867
1.9048
1.7707
1.6620
1.5697
1.4889
1.4519
1.4168
1.3513
1.2910
1.0424
0.8456
2.6259
2.3642
2.0809
1.9840
1.9024
1.7687
1.6602
1.5682
1.4876
1.4507
1.4156
1.3502
1.2901
1.0418
0.8452
2.6329
2.3695
2.0846
1.9873
1.9053
1.7711
1.6624
1.5700
1.4892
1.4522
1.4170
1.3515
1.2912
1.0426
0.8457
0
t
n

Preview text:

PHỤ LỤC 2.GIÁ TRỊ TỚI HẠN PHÂN PHỐI STUDENT P
Z tn    ;
Z ~ t n
Example: t19  2,5395; t25  2,0595 n 0,01 0,025 0 t   n/α 0.005 0.01 0.02 0.025 0.03 0.04 0.05 0.06 0.07 0.075 0.08 0.09 0.1 0.15 0.2 1
63.6567 31.8205 15.8945 12.7062 10.5789 7.9158 6.3138 5.2422 4.4737 4.1653 3.8947 3.4420 3.0777 1.9626 1.3764 2 9.9248 6.9646 4.8487 4.3027
3.8964 3.3198 2.9200 2.6202 2.3834 2.2819 2.1894 2.0261 1.8856 1.3862 1.0607 3 5.8409 4.5407 3.4819 3.1824
2.9505 2.6054 2.3534 2.1562 1.9950 1.9243 1.8589 1.7413 1.6377 1.2498 0.9785 4 4.6041 3.7469 2.9985 2.7764
2.6008 2.3329 2.1318 1.9712 1.8375 1.7782 1.7229 1.6226 1.5332 1.1896 0.9410 5
4.0321 3.3649 2.7565 2.5706 2.4216 2.1910 2.0150 1.8727 1.7529 1.6994 1.6493 1.5579 1.4759 1.1558 0.9195 6 3.7074 3.1427 2.6122 2.4469
2.3133 2.1043 1.9432 1.8117 1.7002 1.6502 1.6033 1.5172 1.4398 1.1342 0.9057 7 3.4995 2.9980 2.5168 2.3646
2.2409 2.0460 1.8946 1.7702 1.6643 1.6166 1.5718 1.4894 1.4149 1.1192 0.8960 8 3.3554 2.8965 2.4490 2.3060
2.1892 2.0042 1.8595 1.7402 1.6383 1.5922 1.5489 1.4691 1.3968 1.1081 0.8889 9 3.2498 2.8214 2.3984 2.2622
2.1504 1.9727 1.8331 1.7176 1.6185 1.5737 1.5315 1.4537 1.3830 1.0997 0.8834 10
3.1693 2.7638 2.3593 2.2281 2.1202 1.9481 1.8125 1.6998 1.6031 1.5592 1.5179 1.4416 1.3722 1.0931 0.8791 11 3.1058 2.7181 2.3281 2.2010
2.0961 1.9284 1.7959 1.6856 1.5906 1.5476 1.5069 1.4318 1.3634 1.0877 0.8755 12 3.0545 2.6810 2.3027 2.1788
2.0764 1.9123 1.7823 1.6739 1.5804 1.5380 1.4979 1.4237 1.3562 1.0832 0.8726 13 3.0123 2.6503 2.2816 2.1604
2.0600 1.8989 1.7709 1.6641 1.5718 1.5299 1.4903 1.4170 1.3502 1.0795 0.8702 14 2.9768 2.6245 2.2638 2.1448
2.0462 1.8875 1.7613 1.6558 1.5646 1.5231 1.4839 1.4113 1.3450 1.0763 0.8681 15
2.9467 2.6025 2.2485 2.1314 2.0343 1.8777 1.7531 1.6487 1.5583 1.5172 1.4784 1.4063 1.3406 1.0735 0.8662 16 2.9208 2.5835 2.2354 2.1199
2.0240 1.8693 1.7459 1.6425 1.5529 1.5121 1.4736 1.4021 1.3368 1.0711 0.8647 17 2.8982 2.5669 2.2238 2.1098
2.0150 1.8619 1.7396 1.6370 1.5482 1.5077 1.4694 1.3983 1.3334 1.0690 0.8633 18 2.8784 2.5524 2.2137 2.1009
2.0071 1.8553 1.7341 1.6322 1.5439 1.5037 1.4656 1.3950 1.3304 1.0672 0.8620 19 2.8609 2.5395 2.2047 2.0930
2.0000 1.8495 1.7291 1.6280 1.5402 1.5002 1.4623 1.3920 1.3277 1.0655 0.8610 20
2.8453 2.5280 2.1967 2.0860 1.9937 1.8443 1.7247 1.6242 1.5369 1.4970 1.4593 1.3894 1.3253 1.0640 0.8600 21 2.8314 2.5176 2.1894 2.0796
1.9880 1.8397 1.7207 1.6207 1.5338 1.4942 1.4567 1.3870 1.3232 1.0627 0.8591 22 2.8188 2.5083 2.1829 2.0739
1.9829 1.8354 1.7171 1.6176 1.5311 1.4916 1.4542 1.3848 1.3212 1.0614 0.8583 23 2.8073 2.4999 2.1770 2.0687
1.9782 1.8316 1.7139 1.6148 1.5286 1.4893 1.4520 1.3828 1.3195 1.0603 0.8575 24 2.7969 2.4922 2.1715 2.0639
1.9740 1.8281 1.7109 1.6122 1.5263 1.4871 1.4500 1.3810 1.3178 1.0593 0.8569 25
2.7874 2.4851 2.1666 2.0595 1.9701 1.8248 1.7081 1.6098 1.5242 1.4852 1.4482 1.3794 1.3163 1.0584 0.8562 26 2.7787 2.4786 2.1620 2.0555
1.9665 1.8219 1.7056 1.6076 1.5223 1.4834 1.4464 1.3778 1.3150 1.0575 0.8557 27 2.7707 2.4727 2.1578 2.0518
1.9632 1.8191 1.7033 1.6056 1.5205 1.4817 1.4449 1.3764 1.3137 1.0567 0.8551 28 2.7633 2.4671 2.1539 2.0484
1.9601 1.8166 1.7011 1.6037 1.5189 1.4801 1.4434 1.3751 1.3125 1.0560 0.8546 29 2.7564 2.4620 2.1503 2.0452
1.9573 1.8142 1.6991 1.6020 1.5174 1.4787 1.4421 1.3739 1.3114 1.0553 0.8542 30
2.7500 2.4573 2.1470 2.0423 1.9546 1.8120 1.6973 1.6004 1.5159 1.4774 1.4408 1.3728 1.3104 1.0547 0.8538 31 2.7440 2.4528 2.1438 2.0395
1.9522 1.8100 1.6955 1.5988 1.5146 1.4761 1.4396 1.3717 1.3095 1.0541 0.8534 32 2.7385 2.4487 2.1409 2.0369
1.9499 1.8081 1.6939 1.5974 1.5134 1.4749 1.4385 1.3707 1.3086 1.0535 0.8530 33 2.7333 2.4448 2.1382 2.0345
1.9477 1.8063 1.6924 1.5961 1.5122 1.4738 1.4375 1.3698 1.3077 1.0530 0.8526 34 2.7284 2.4411 2.1356 2.0322
1.9457 1.8046 1.6909 1.5949 1.5111 1.4728 1.4365 1.3689 1.3070 1.0525 0.8523 35
2.7238 2.4377 2.1332 2.0301 1.9438 1.8030 1.6896 1.5937 1.5101 1.4718 1.4356 1.3681 1.3062 1.0520 0.8520 36 2.7195 2.4345 2.1309 2.0281
1.9419 1.8015 1.6883 1.5926 1.5091 1.4709 1.4347 1.3673 1.3055 1.0516 0.8517 37 2.7154 2.4314 2.1287 2.0262
1.9402 1.8001 1.6871 1.5915 1.5082 1.4701 1.4339 1.3666 1.3049 1.0512 0.8514 38 2.7116 2.4286 2.1267 2.0244
1.9386 1.7988 1.6860 1.5905 1.5073 1.4692 1.4331 1.3659 1.3042 1.0508 0.8512 39 2.7079 2.4258 2.1247 2.0227
1.9371 1.7975 1.6849 1.5896 1.5065 1.4685 1.4324 1.3652 1.3036 1.0504 0.8509 40
2.7045 2.4233 2.1229 2.0211 1.9357 1.7963 1.6839 1.5887 1.5057 1.4677 1.4317 1.3646 1.3031 1.0500 0.8507 50 2.6778 2.4033 2.1087 2.0086
1.9244 1.7870 1.6759 1.5818 1.4996 1.4620 1.4263 1.3598 1.2987 1.0473 0.8489 60 2.6603 2.3901 2.0994 2.0003
1.9170 1.7808 1.6706 1.5772 1.4956 1.4582 1.4227 1.3566 1.2958 1.0455 0.8477 70 2.6479 2.3808 2.0927 1.9944
1.9118 1.7765 1.6669 1.5740 1.4927 1.4555 1.4202 1.3543 1.2938 1.0442 0.8468 80 2.6387 2.3739 2.0878 1.9901
1.9078 1.7732 1.6641 1.5716 1.4906 1.4535 1.4183 1.3526 1.2922 1.0432 0.8461 90 2.6316 2.3685 2.0839 1.9867
1.9048 1.7707 1.6620 1.5697 1.4889 1.4519 1.4168 1.3513 1.2910 1.0424 0.8456 100 2.6259 2.3642 2.0809 1.9840
1.9024 1.7687 1.6602 1.5682 1.4876 1.4507 1.4156 1.3502 1.2901 1.0418 0.8452 88
2.6329 2.3695 2.0846 1.9873 1.9053 1.7711 1.6624 1.5700 1.4892 1.4522 1.4170 1.3515 1.2912 1.0426 0.8457
Document Outline

  •  2, 5395;
  •  2, 0595