〔 부록 : 통계 분포표 〕
구 분 통계분포표 내용
SQC통계
분포표
<부표 1> 정규분포표 (1) / A-02
<부표 2> 정규분포표 (2) / A-03
<부표 3> 정규분포표 (3) / A-04
<부표 4> 정규분포표 (4) / A-04
<부표 5> t분포표 (1) / A-05
<부표 6> t분포표 (2) / A-06
<부표 7> χ 2분포표 / A-07
<부표 8> F분포표 (10%) / A-08
<부표 9> F분포표 (5%) / A-09
<부표 10> F분포표 (2.5%) / A-10
<부표 11> F분포표 (1%) / A-11
<부표 12> r 분포표 / A-12
<부표 13> 슈하트 관리도용 계수표 (1) / A-13
<부표 14> 슈하트 관리도용 계수표 (2) / A-13
<부표 15> 범위( R )을 사용하는 검정 보조표 / A-14
<부표 16> 누적이항분포표 / A-15
<부표 17> 누적포아송분포표 / A-17
<부표 18> 이항계수표 / A-19
신뢰성
분포표
<부표 19> 정규확률분포표 / A-20
<부표 20> 정규누적확률분포표 / A-21
<부표 21> 감마함수표 / A-22
<부표 22> MTBF(지수분포) 구간추정 계수표 (정시중단) / A-23
<부표 23> MTBF(지수분포) 구간추정 계수표 (정수중단) / A-24
실험계획
분포표
<부표 24> 오메가 변환표 / A-25
<부표 25> 데시벨(dB)표 / A-28
<부표 26> 자연대수표 / A-31
통계분포표 목차 / A-01
<부표 1> 정규분포표 (1)
표준화 정규분포표의 확률변수 U 가 u1−α 값
이상이 될 상측 한쪽확률 α 를 구하는 표
u *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9
0.0*
0.1*
0.2*
0.3*
0.4*
0.5*
0.6*
0.7*
0.8*
0.9*
1.0*
1.1*
1.2*
1.3*
1.4*
1.5*
1.6*
1.7*
1.8*
1.9*
2.0*
2.1*
2.2*
2.3*
2.4*
2.5*
2.6*
2.7*
2.8*
2.9*
3.0*
.5000
.4602
.4207
.3821
.3466
.3085
.2743
.2402
.2119
.1841
.1587
.1357
.1151
.0968
.0808
.0668
.0548
.0446
.0359
.0287
.0228
.0179
.0139
.0107
.0082
.0062
.0047
.0035
.0026
.0019
.0013
.4960
.4562
.4168
.3783
.3409
.3050
.2709
.2389
.2090
.1814
.1562
.1335
.1131
.0951
.0793
.0655
.0537
.0436
.0351
.0281
.0222
.0174
.0136
.0104
.0080
.0060
.0045
.0034
.0025
.0018
.0013
.4920
.4522
.4129
.3745
.3372
.3015
.2676
.2358
.2061
.1788
.1539
.1314
.1112
.0934
.0078
.0643
.0526
.0427
.0344
.0274
.0217
.0170
.0132
.0102
.0078
.0059
.0044
.0033
.0024
.0018
.0013
.4880
.4483
.4090
.3707
.3336
.2981
.2643
.2327
.2033
.1762
.1515
.1292
.1093
.0918
.0764
.0630
.0516
.0418
.0336
.0268
.0212
.0116
.0129
.0099
.0075
.0057
.0043
.0032
.0023
.0017
.0012
.4840
.4443
.4052
.3669
.3300
.2946
.2611
.2296
.2005
.1736
.1492
.1271
.1075
.0901
.0749
.0618
.0505
.0409
.0329
.0262
.0207
.0162
.0125
.0096
.0073
.0055
.0041
.0031
.0023
.0016
.0012
.4801
.4404
.4013
.3632
.3264
.2912
.2578
.2266
.1977
.1711
.1469
.1251
.1056
.0885
.0735
.0606
.0495
.0401
.0322
.0256
.0202
.0158
.0122
.0094
.0071
.0054
.0040
.0030
.0022
.0016
.0011
.4761
.4364
.3974
.3594
.3228
.2877
.2546
.2236
.1949
.1685
.1446
.1230
.1038
.0869
.0721
.0594
.0485
.0392
.0314
.0250
.0197
.0154
.0119
.0091
.0069
.0052
.0039
.0029
.0021
.0015
.0011
.4721
.4325
.3936
.3557
.3192
.2843
.2514
.2206
.1922
.1660
.1423
.1210
.1020
.0853
.0708
.0582
.0475
.0384
.0307
.0244
.0192
.0150
.0116
.0089
.0068
.0051
.0038
.0028
.0021
.0015
.0011
.4681
.4286
.3897
.3520
.3156
.2810
.2483
.2177
.1894
.1635
.1401
.1190
.1003
.0838
.0694
.0571
.0465
.0375
.0301
.0239
.0188
.0146
.0113
.0087
.0066
.0049
.0037
.0027
.0020
.0014
.0010
.4641
.4247
.3859
.3483
.3121
.2776
.2461
.2148
.1867
.1611
.1379
.1170
.0985
.0823
.0681
.0559
.0455
.0367
.0294
.0233
.0183
.0143
.0110
.0084
.0064
.0048
.0036
.0026
.0019
.0014
.0010
【주】 u =1.96에 대한 α 는 좌측의 수 1.9에서 우측으로 가서 위의 숫자 6에서 밑으로
내려온 곳에 있는 수를 읽어 α =0.0250을 얻을 수 있다.
A-02 / 부록-부표
0
f u( )
u1−α
α1−α
U
<부표 2> 정규분포표 (2)
표준화 정규분포표의 확률변수 U 가 uα값
이하가 될 확률 α 를 구하는 표
u *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9
0.0*
0.1*
0.2*
0.3*
0.4*
0.5*
0.6*
0.7*
0.8*
0.9*
1.0*
1.1*
1.2*
1.3*
1.4*
1.5*
1.6*
1.7*
1.8*
1.9*
2.0*
2.1*
2.2*
2.3*
2.4*
2.5*
2.6*
2.7*
2.8*
2.9*
3.0*
3.1*
3.2*
3.3*
3.4*
.5000
.5398
.5793
.6179
.6554
.6915
.7257
.7580
.7881
.8159
.8413
.8643
.8849
.9032
.9192
.9332
.9452
.9554
.9641
.9713
.9772
.9821
.9861
.9893
.9918
.9938
.9953
.9965
.9974
.9981
.9987
.9990
.9993
.9995
.9997
.5040
.5438
.5832
.6217
.6591
.6950
.7291
.7611
.7910
.8186
.8438
.8665
.8869
.9049
.9207
.9345
.9463
.9564
.9649
.9719
.9778
.9826
.9864
.9896
.9920
.9940
.9955
.9966
.9975
.9982
.9987
.9991
.9993
.9995
.9997
.5080
.5478
.5871
.6255
.6628
.6985
.7324
.7642
.7939
.8212
.8461
.8686
.8888
.9066
.9222
.9357
.9474
.9573
.9636
.9726
.9783
.9830
.9868
.9898
.9922
.9941
.9956
.9967
.9976
.9982
.9987
.9991
.9994
.9995
.9997
.5120
.5517
.5910
.6293
.6664
.7019
.7357
.7673
.7967
.8238
.8485
.8708
.8907
.9082
.9236
.9370
.9484
.9582
.9664
.9732
.9788
.9834
.9871
.9901
.9925
.9943
.9957
.9968
.9977
.9983
.9988
.9991
.9994
.9996
.9997
.5160
.5557
.5948
.6331
.6700
.7054
.7389
.7704
.7995
.8264
.8508
.8729
.8925
.9099
.9251
.9382
.9495
.9591
.9671
.9738
.9793
.9838
.9875
.9904
.9927
.9945
.9959
.9969
.9977
.9984
.9988
.9992
.9994
.9996
.9997
.5199
.5596
.5987
.6368
.6736
.7088
.7422
.7734
.8023
.8289
.8531
.8749
.8944
.9115
.9265
.9394
.9505
.9599
.9678
.9744
.9798
.9842
.9878
.9906
.9929
.9946
.9960
.9970
.9978
.9984
.9989
.9992
.9994
.9996
.9997
.5239
.5636
.6026
.6406
.6772
.7123
.7454
.7764
.8051
.8315
.8554
.8770
.8962
.9131
.9279
.9406
.9515
.9608
.9686
.9750
.9803
.9846
.9881
.9909
.9931
.9948
.9961
.9971
.9979
.9985
.9989
.9992
.9994
.9996
.9997
.5279
.5675
.6044
.6443
.6808
.7157
.7486
.7794
.8078
.8340
.8577
.8790
.8980
.9147
.9292
.9418
.9525
.9616
.9693
.9756
.9808
.9850
.9884
.9911
.9932
.9949
.9962
.9972
.9979
.9985
.9989
.9992
.9995
.9996
.9997
.5319
.5714
.6103
.6480
.6844
.7190
.7517
.7823
.8106
.8365
.8599
.8810
.8997
.9162
.9306
.9429
.9535
.9625
.9699
.9761
.9812
.9854
.9887
.9913
.9934
.9951
.9963
.9973
.9980
.9986
.9990
.9993
.9995
.9996
.9997
.5359
.5753
.6141
.6517
.6879
.7224
.7549
.7852
.8133
.8389
.8621
.8830
.9015
.9177
.9319
.9441
.9545
.9633
.9706
.9767
.9817
.9857
.9890
.9916
.9936
.9952
.9964
.9974
.9981
.9986
.9990
.9993
.9995
.9997
.9998
【주】 u =1.96에 대한 α 는 좌측의 수 1.9에서 우측으로 가서 위의 숫자 6에서 밑으로 내려
온 곳에 있는 수를 읽어 빗금면적의 확률 α =0.9750을 얻을 수 있다.
SQC 통계분포표 / A-03
0
f u( )
uα
α
U
<부표 3> 정규분포표 (3)
α 에서 상측 분위점 u1−α 를
구하는 표
α *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9
0.000*
0.0*
0.1*
0.2*
0.3*
0.4*
∞
∞
1.282
0.842
0.524
0.253
3.090
2.326
1.227
0.806
0.496
0.228
2.878
2.054
1.175
0.772
0.468
0.202
2.748
1.881
1.126
0.739
0.440
0.176
2.652
1.751
1.080
0.706
0.412
0.151
2.576
1.645
1.036
0.674
0.385
0.126
2.512
1.555
0.994
0.643
0.358
0.100
2.457
1.476
0.954
0.613
0.332
0.075
2.409
1.405
0.915
0.583
0.305
0.050
2.366
1.341
0.878
0.553
0.279
0.025
비고 : z를 Kε으로, P Z z( )≥ 를 ε 으로 나타내기도 함.
<부표 4> 정규분포표 (4)
u α α 2 u α α 2
1
2
3
0.6745
1.2816
0.3173
0.0455
0.0027
0.50
0.20
0.15866
0.02275
0.00135
0.25
0.10
1.6449
1.9600
2.3263
2.5758
3.0902
0.10
0.05
0.02
0.01
0.002
0.05
0.025
0.010
0.005
0.001
A-04 / 부록-부표
f u( )
u1−α0
α
한쪽·양쪽 확률 겸용표
U
U
f u( )
0
1− α
u− u
α 2α 2
<부표 5> t 분포표 (1)
자유도 ν와 양쪽확률 α 에서tα ν/ ( )2 와 t1 2−α ν/ ( )를 구하는 표
αν 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.001
αν
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
40
60
120
∞
1.000
0.816
0.765
0.741
0.727
0.718
0.711
0.706
0.703
0.700
0.697
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.687
0.686
0.686
0.685
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.681
0.679
0.677
0.674
1.376
1.061
0.978
0.941
0.920
0.906
0.896
0.889
0.883
0.879
0.876
0.873
0.870
0.868
0.866
0.865
0.863
0.862
0.861
0.860
0.859
0.858
0.858
0.857
0.856
0.856
0.855
0.855
0.854
0.854
0.851
0.848
0.845
0.842
1.963
1.386
1.250
1.190
1.156
1.134
1.119
1.108
1.100
1.093
1.088
1.083
1.079
1.076
1.074
1.071
1.069
1.067
1.066
1.064
1.063
1.061
1.060
1.059
1.058
1.058
1.057
1.056
1.055
1.055
1.050
1.046
1.041
1.036
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
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
1.303
1.296
1.289
1.282
6.314
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
1.684
1.671
1.658
1.645
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
2.021
2.000
1.980
1.960
31.281
6.965
4.541
3.747
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
2.423
2.390
2.358
2.326
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
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
2.704
2.660
2.617
2.576
636.619
31.598
12.941
8.610
6.859
5.959
5.405
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.767
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.551
3.460
3.373
3.291
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
40
60
120
∞
【주】ν = 10 , 양쪽확률 α =0.05에 대한 t 의 값은 + = +t0 025 10 2 228. ( ) . , − = −t0 025 10 2 228. ( ) . 이다.
이는 자유도 10의 t 분포에 따르는 확률변수가 2.228이상의 절대치를 가지고 출현하는 확률이
5%라는 것을 가리킨다.
SQC 통계분포표 / A-05
0
α 21 − α
α 2
f t( )
t( )νtα ν/ ( )2
= − −t1 2α ν/ ( )t1 2−α ν/ ( )
<부표 6> t 분포표 (2)
자유도 ν와 상측 한쪽확률 α에서t1−α ν( )를 구하는 표
ν0.75 0.80 0.85 0.90 0.95 0.975 0.99 0.995 0.9995
ν
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
40
60
120
∞
1.000
0.816
0.765
0.741
0.727
0.718
0.711
0.706
0.703
0.700
0.697
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.687
0.686
0.686
0.685
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.681
0.679
0.677
0.674
1.376
1.061
0.978
0.941
0.920
0.906
0.896
0.889
0.883
0.879
0.876
0.873
0.870
0.868
0.866
0.865
0.863
0.862
0.861
0.860
0.859
0.858
0.858
0.857
0.856
0.856
0.855
0.855
0.854
0.854
0.851
0.848
0.845
0.842
1.963
1.386
1.250
1.190
1.156
1.134
1.119
1.108
1.100
1.093
1.088
1.083
1.079
1.076
1.074
1.071
1.069
1.067
1.066
1.064
1.063
1.061
1.060
1.059
1.058
1.058
1.057
1.056
1.055
1.055
1.050
1.046
1.041
1.036
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
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
1.303
1.296
1.289
1.282
6.314
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
1.684
1.671
1.658
1.645
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
2.021
2.000
1.980
1.960
31.281
6.965
4.541
3.747
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
2.423
2.390
2.358
2.326
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
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
2.704
2.660
2.617
2.576
636.619
31.598
12.941
8.610
6.859
5.959
5.405
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.767
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.551
3.460
3.373
3.291
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
40
60
120
∞
【주】ν = 10 , 상측 한쪽확률 α =0.05에 대한 t 의 값은 t t t1 1 0 05 0 9510 10 2 228− −= = =α ν( ) ( ) ( ) .. . 이다.
이는 자유도 10의 t 분포에 따르는 확률변수가 2.228이하의 절대치를 가지고 출현하는 확률이
97.5%라는 것을 가리킨다..
A-06 / 부록-부표
1−α
f t( )
t( )νt1−α ν( )
0
α
1−α
1 − α
<부표 7> χ2분포표
자유도 ν와 하측확률 α에서
χ να2 ( )를 구하는 표
α0.005 0.010 0.025 0.050 0.100 0.250 0.500 0.750 0.900 0.950 0.975 0.990 0.995
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
40
50
60
70
80
90
100
0.044
0.01
0.07
0.21
0.41
0.68
0.99
1.34
1.74
2.16
2.60
3.07
3.57
4.07
4.60
5.14
5.70
6.26
6.84
7.43
8.03
8.64
9.26
9.89
10.52
11.46
11.81
12.46
13.12
13.79
20.7
28.0
35.5
43.3
51.2
59.2
67.3
0.032
0.02
0.12
0.30
0.55
0.87
1.24
1.65
2.09
2.56
3.05
3.57
4.11
4.66
5.23
5.81
6.41
7.01
7.63
8.26
8.90
9.54
10.20
10.86
11.52
12.20
12.88
13.56
14.26
14.95
22.2
29.7
37.5
45.4
53.5
61.8
70.1
0.021
0.05
0.22
0.48
0.83
1.24
1.69
2.18
2.70
3.25
3.82
4.40
5.01
5.63
6.26
6.91
7.56
8.23
8.91
9.59
10.28
10.98
11.69
12.40
13.12
13.84
14.57
15.31
16.05
16.79
24.4
32.4
40.5
48.8
57.2
65.6
74.2
0.023
0.10
0.35
0.71
1.15
1.64
2.17
2.73
3.33
3.94
4.57
5.23
5.89
6.57
7.26
7.96
8.67
9.39
10.12
10.85
11.59
12.34
13.09
13.85
14.61
15.38
16.15
16.93
17.71
18.49
26.5
34.8
43.2
51.7
60.4
69.1
77.9
0.02
0.21
0.58
1.06
1.61
2.20
2.83
3.49
4.17
4.87
5.58
6.30
7.04
7.79
8.55
9.31
10.09
10.86
11.65
12.44
13.24
14.04
14.85
15.66
14.67
17.29
18.11
18.94
19.77
20.6
29.1
37.7
46.5
55.3
64.3
73.3
82.4
0.10
0.58
1.21
1.92
2.67
3.45
4.25
5.07
5.90
6.74
7.58
8.44
9.30
10.17
11.04
11.91
12.79
13.68
14.56
15.45
16.34
17.24
18.14
19.04
19.94
20.8
21.7
22.7
23.6
24.5
33.7
42.9
52.3
61.7
71.1
80.6
90.1
0.46
1.39
2.37
3.36
4.35
5.35
6.35
7.34
8.34
9.34
10.34
11.34
12.34
13.34
14.34
15.34
16.34
17.34
18.34
19.34
20.3
21.3
22.3
23.3
24.3
25.3
26.3
27.3
28.3
29.3
39.3
49.3
59.3
69.3
79.3
89.3
99.3
1.32
2.77
4.11
5.39
6.63
7.84
9.04
10.22
11.39
12.55
13.70
14.85
15.98
17.12
18.25
19.37
20.5
21.6
22.7
23.8
24.9
26.0
27.1
28.2
29.3
30.4
31.5
32.6
33.7
34.8
45.6
56.3
67.0
77.6
88.1
98.6
109.1
2.71
4.61
6.25
7.78
9.24
10.64
12.02
13.36
14.68
15.99
17.28
18.55
19.81
21.1
22.3
23.5
24.8
26.0
27.2
28.4
29.6
30.8
32.0
33.2
34.4
35.6
36.7
37.9
39.1
40.3
51.8
63.2
74.4
85.5
96.6
107.6
118.5
3.84
5.99
7.81
9.49
11.07
12.59
14.07
15.51
16.92
18.31
19.68
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
55.8
67.5
79.1
90.5
101.9
113.1
124.3
5.02
7.38
9.35
11.14
12.83
14.45
16.01
17.54
19.02
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
59.3
71.4
83.3
95.0
106.6
118.1
129.6
6.63
9.21
11.34
13.28
15.09
16.81
18.48
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
40.3
41.6
43.0
44.3
45.6
47.0
48.3
49.6
50.9
63.7
76.2
88.4
100.4
112.3
124.1
135.8
7.88
10.60
12.84
14.86
16.75
18.55
20.3
22.0
23.6
25.2
26.8
28.3
29.8
31.3
32.8
34.3
35.7
37.2
38.6
40.0
41.4
42.8
44.2
45.6
46.9
48.3
49.6
51.0
52.3
53.7
66.8
79.5
92.0
104.2
116.3
128.3
140.2
SQC 통계분포표 / A-07
자유도
f ( )χ 2
α
0χ να
2 ( )
ν
χ ν2( )
ν
<부표 8> F 분포표 (상측확률 10%)
자유도 ν ν1 2, 에서 상측확률 α =0.10(10%)에 대한F0 90 1 2. ( , )ν ν 값을 구하는 표
1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞
12345
39.98.535.544.544.06
49.59.005.464.323.78
53.69.165.394.193.62
55.89.245.344.113.52
57.29.295.314.053.45
58.29.335.284.013.40
58.99.355.273.983.37
59.49.375.253.953.34
59.99.385.243.943.32
60.29.395.233.923.30
60.79.415.223.903.27
61.29.425.203.873.24
61.79.445.183.843.21
62.39.465.173.823.17
62.59.475.163.803.16
62.89.475.153.793.14
63.19.485.143.783.12
63.39.495.133.763.10
678910
3.783.593.463.363.28
3.463.263.113.012.92
3.293.072.922.812.73
3.182.962.812.692.61
3.112.882.732.612.52
3.052.832.662.552.46
3.012.782.622.512.41
2.982.752.592.472.38
2.962.722.562.442.35
2.942.702.542.422.32
2.902.672.502.382.28
2.872.632.462.342.24
2.842.592.422.302.20
2.802.562.382.252.16
2.782.542.362.232.13
2.762.512.342.212.11
2.742.492.322.182.08
2.722.472.292.162.06
1112131415
3.233.133.143.103.07
2.862.812.762.732.70
2.662.612.562.522.49
2.542.482.432.392.36
2.452.392.352.312.27
2.392.332.282.242.21
2.342.282.232.192.16
2.302.242.202.152.12
2.272.212.162.122.09
2.252.192.142.102.06
2.212.152.102.052.02
2.172.102.052.011.97
2.122.062.011.961.92
2.082.011.961.911.87
2.051.991.931.891.85
2.031.961.901.861.82
2.001.931.881.831.79
1.971.901.851.801.76
1617181920
3.053.033.012.992.97
2.672.642.622.612.59
2.462.442.422.402.38
2.332.312.292.272.25
2.242.222.202.182.16
2.182.152.132.112.09
2.132.102.082.062.04
2.092.062.042.022.00
2.062.032.001.981.96
2.032.001.981.961.94
1.991.961.931.911.89
1.941.911.891.861.84
1.891.861.841.811.79
1.841.811.781.761.74
1.811.781.751.731.71
1.781.751.721.701.68
1.751.721.691.671.64
1.721.671.661.631.61
2122232425
2.962.952.942.932.92
2.572.562.552.542.53
2.362.352.342.332.32
2.232.222.212.19.18
2.142.132.112.102.09
2.082.062.052.042.02
2.022.011.991.981.97
1.981.971.951.941.93
1.951.931.921.911.89
1.921.901.891.881.87
1.881.861.841.831.82
1.831.811.801.781.77
1.781.761.741.731.72
1.721.701.691.671.66
1.691.671.661.641.63
1.661.641.621.611.59
1.621.601.591.571.56
1.591.571.551.531.52
2627282930
2.912.902.892.892.88
2.522.512.502.502.49
2.312.302.292.282.28
2.172.172.162.152.14
2.082.072.062.062.05
2.012.002.001.991.98
1.961.951.941.931.93
1.921.911.901.891.88
1.881.871.871.861.85
1.861.851.841.831.82
1.811.801.791.781.77
1.761.751.741.731.72
1.711.701.691.681.67
1.651.641.631.621.61
1.611.601.591.581.57
1.581.571.561.551.54
1.541.531.521.511.50
1.501.491.481.471.46
4060120∞
2.842.792.752.71
2.442.392.352.30
2.332.182.132.08
2.092.041.991.94
2.001.951.901.85
1.931.871.821.77
1.871.821.771.72
1.831.771.721.67
1.791.741.681.63
1.761.711.651.60
1.711.661.601.55
1.661.601.541.49
1.611.541.481.42
1.541.481.411.34
1.511.441.371.30
1.461.401.321.24
1.421.351.261.17
1.381.291.191.00
【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 10%의 점은 F0 90 5 10 2 52. ( , ) .= , 하측확률 10%의 점은 F F0 10 0 905 10 1 10 5 1 330 0 30. .( , ) / ( , ) / . .= = =
0
f F( )
F( , )ν ν1 2F1 1 2−α ν ν( , )
α
ν1ν2
A-08/부록-부표
<부표 9> F 분포표 (상측확률 5%)
자유도 ν ν1 2, 에서 상측확률 α =0.05(5%)에 대한
F0 95 1 2. ( , )ν ν 값을 구하는 표
1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞
12345
16118.510.17.716.61
20019.09.556.945.79
21619.29.286.595.41
22519.29.126.395.19
23019.39.016.265.05
23419.38.946.164.95
23719.48.896.094.88
23919.48.856.044.82
24119.48.816.004.77
24219.48.795.964.74
24419.48.745.914.68
24619.48.705.864.62
24819.48.665.804.56
25019.58.625.754.50
25119.58.595.724.46
25219.58.575.694.43
25319.58.555.664.40
25419.58.535.634.36
678910
5.995.595.325.124.96
5.144.744.464.264.10
4.764.354.073.863.71
4.534.123.843.633.48
4.393.973.693.483.33
4.283.873.583.373.22
4.213.793.503.293.14
4.153.733.443.233.07
4.103.683.393.183.02
4.063.643.353.142.98
4.003.573.283.072.91
3.943.513.223.012.84
3.873.443.152.942.77
3.813.383.082.862.70
3.773.343.042.832.66
3.743.303.012.792.62
3.703.272.972.752.58
3.673.232.932.712.54
1112131415
4.844.754.674.604.54
3.983.893.813.743.68
3.593.493.413.343.29
3.363.263.183.113.06
3.203.113.032.962.90
3.093.002.922.852.79
3.012.912.832.762.71
2.952.852.772.702.64
2.902.802.712.652.59
2.852.752.672.602.54
2.792.692.602.532.48
2.722.622.532.462.40
2.652.542.462.392.33
2.572.472.382.312.25
2.532.432.342.272.20
2.492.382.302.222.16
2.452.342.252.182.11
2.402.302.212.132.07
1617181920
4.494.454.414.384.35
3.633.593.553.523.49
3.243.203.163.133.10
3.012.962.932.902.87
2.852.812.772.742.71
2.742.702.662.632.60
2.662.612.582.542.51
2.592.552.512.482.45
2.542.492.462.422.39
2.492.452.412.382.35
2.422.382.342.312.28
2.352.312.272.232.20
2.282.232.192.162.12
2.192.152.112.072.04
2.152.102.062.031.99
2.112.062.021.981.95
2.062.011.971.931.90
2.011.961.921.881.84
2122232425
4.324.304.284.264.24
3.473.443.423.403.39
3.073.053.033.012.99
2.842.822.802.792.76
2.682.662.642.622.60
2.572.552.532.512.49
2.492.462.442.422.40
2.422.402.372.362.34
2.372.342.322.302.28
2.322.302.272.252.24
2.252.232.202.182.16
2.182.152.132.112.09
2.102.072.052.032.01
2.011.981.961.941.92
1.961.941.911.891.87
1.921.891.861.841.82
1.871.841.811.791.77
1.811.781.761.731.71
2627282930
4.234.214.204.184.17
3.373.353.343.333.32
2.982.962.952.932.92
2.742.732.712.702.69
2.592.572.562.552.53
2.472.462.452.432.42
2.392.372.362.352.33
2.322.312.292.282.27
2.272.252.242.222.21
2.222.202.192.182.16
2.152.132.122.102.09
2.072.062.042.032.01
1.991.971.961.941.93
1.901.881.871.851.84
1.851.841.821.811.79
1.801.791.771.751.74
1.751.731.711.701.68
1.691.671.651.641.62
4060120∞
4.084.003.923.84
3.233.153.073.00
2.842.762.682.60
2.612.532.452.37
2.452.372.292.21
2.342.252.182.10
2.252.172.092.01
2.182.102.021.94
2.122.041.961.88
2.081.991.911.83
2.001.921.831.75
1.921.841.751.67
1.841.751.661.57
1.741.651.551.46
1.691.591.501.39
1.641.531.431.32
1.581.471.351.22
1.511.391.251.00
【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 5%의 점은 F0 95 5 10 3 33. ( , ) .= , 하측확률 5%의 점은 F F0 95 0 955 10 1 10 5 1 4 74 0 21. .( , ) / ( , ) / . .= = =
SQC통계분포표/A-09
0
f F( )
F( , )ν ν1 2F1 1 2−α ν ν( , )
α
ν1ν2
<부표 10> F 분포표 (상측확률 2.5%)
자유도 ν ν1 2, 에서 상측확률 α =0.025(2.5%)에 대한
F0 95 1 2. ( , )ν ν 값을 구하는 표
1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞
12345
64838.517.412.210.0
80039.016.010.68.43
86439.215.49.987.76
90039.215.19.607.39
92239.314.99.367.15
93739.414.69.076.85
94839.414.69.076.85
95739.414.58.986.76
96339.414.58.906.68
96939.414.48.846.62
97739.414.38.756.52
98539.414.38.666.43
99339.414.28.566.33
100139.514.18.466.23
100639.514.08.416.18
101039.514.08.366.12
101439.513.98.316.07
101839.513.98.266.02
678910
8.818.077.577.216.94
7.266.546.065.715.46
6.605.895.425.084.83
6.235.625.054.724.47
5.995.294.824.484.24
5.704.994.534.203.95
5.704.994.534.203.95
5.604.904.434.103.85
5.524.824.364.033.78
5.464.764.303.963.72
5.374.674.203.873.62
5.274.574.103.773.52
5.174.474.003.673.42
5.074.363.893.563.31
5.014.313.843.513.26
4.964.253.783.453.20
4.904.203.733.393.14
4.854.143.673.333.08
1112131415
6.726.556.416.306.20
5.265.104.974.864.76
4.634.474.354.244.15
4.284.124.003.893.80
4.043.893.773.663.58
3.763.613.483.383.29
3.763.613.483.383.29
3.663.513.393.293.20
3.593.443.313.213.12
3.533.373.253.153.06
3.433.283.153.052.96
3.333.183.052.952.86
3.233.072.952.842.76
3.122.962.842.732.64
3.062.912.782.672.58
3.002.852.722.612.52
2.942.792.662.552.46
2.882.722.602.492.40
1617181920
6.126.045.985.925.87
4.694.624.564.514.46
4.084.013.953.903.86
3.733.663.613.563.51
3.503.443.383.333.29
3.223.163.103.053.01
3.223.163.103.053.01
3.123.063.012.962.91
3.052.982.932.882.84
2.992.922.872.822.77
2.892.822.772.722.68
2.792.722.672.622.57
2.682.622.562.512.46
2.572.502.442.392.35
2.512.442.382.332.29
2.452.382.322.272.22
2.382.322.262.202.16
2.322.252.192.132.09
2122232425
5.835.795.755.725.69
4.424.384.354.324.29
3.823.783.753.723.69
3.483.443.413.383.35
3.253.223.183.153.13
2.972.932.902.872.85
2.972.932.902.872.85
2.872.842.812.782.75
2.802.762.732.702.68
2.732.702.672.642.61
2.642.602.572.542.51
2.532.502.472.442.41
2.422.392.362.332.30
2.312.272.242.212.18
2.252.212.182.152.12
2.182.142.112.082.05
2.112.082.042.011.98
2.042.001.971.941.91
2627282930
5.665.635.615.595.57
4.274.244.224.204.18
3.673.653.633.613.59
3.333.313.293.273.25
3.103.083.063.043.03
2.822.802.782.762.75
2.822.802.782.762.75
2.732.712.692.672.65
2.652.632.612.592.57
2.592.572.552.532.51
2.492.472.452.432.41
2.392.362.342.322.31
2.282.252.232.212.20
2.162.132.112.092.07
2.092.072.052.032.01
2.032.001.981.961.94
1.951.931.911.891.87
1.881.851.831.811.79
4060120∞
5.425.295.155.02
4.053.933.803.69
3.463.343.233.12
3.133.012.892.79
2.902.792.672.57
2.622.512.392.29
2.622.512.392.29
2.532.412.302.19
2.452.332.222.11
2.392.272.162.05
2.292.172.051.94
2.182.061.941.83
2.071.941.821.71
1.941.821.691.57
1.881.741.611.48
1.801.671.531.39
1.721.581.431.27
1.641.481.311.00
【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 2.5%의 점은 F0 975 5 10 4 24. ( , ) .= , 하측확률 2.5%의 점은 F F0 025 0 9755 10 1 10 5 1 662 015. .( , ) / ( , ) / . .= = =
0
f F( )
F( , )ν ν1 2F1 1 2−α ν ν( , )
α
A-10/부록-부표
ν1ν2
<부표 11> F 분포표 (상측확률 1%)
자유도 ν ν1 2, 에서 상측확률 α =0.01(1%)에 대한F0 99 1 2. ( , )ν ν 값을 구하는 표
1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞
12345
4,05298.534.121.216.3
5,00099.030.818.013.3
5,40399.229.516.712.1
5,62599.228.716.011.4
5,76499.328.215.511.0
5,85999.327.915.210.7
5,92899.427.715.010.5
5,98299.427.514.810.3
6,02299.427.314.710.2
6,05699.427.214.510.1
610699.427.114.49.89
615799.426.914.29.72
620999.426.714.09.55
626199.526.513.89.38
628799.526.413.79.29
631399.526.313.79.20
633999.526.213.69.11
636699.526.113.59.02
678910
13.712.211.310.610.0
10.99.558.658.027.56
9.788.457.596.996.55
9.157.857.016.425.99
8.757.466.636.065.64
8.477.196.375.805.39
8.266.996.185.615.20
8.106.846.035.475.06
7.986.725.915.354.94
7.876.625.815.264.85
7.726.475.675.114.71
7.566.315.524.964.56
7.406.165.364.814.41
7.235.995.204.654.25
7.145.915.124.574.17
7.065.825.034.484.08
6.975.744.954.404.00
6.885.654.864.313.91
1112131415
9.659.339.078.868.68
7.216.936.706.516.36
6.225.955.745.565.42
5.675.415.215.044.89
5.325.064.864.704.56
5.074.824.624.464.32
4.894.644.444.284.14
4.744.504.304.144.00
4.634.394.194.033.89
4.544.304.103.943.80
4.404.163.963.803.67
4.254.013.823.663.52
4.103.863.663.513.37
3.943.703.513.353.21
3.863.623.433.273.13
3.783.543.343.183.05
3.693.453.253.092.96
3.603.363.173.002.87
1617181920
8.538.408.298.188.10
6.236.116.015.935.85
5.295.185.095.014.94
4.774.674.584.504.43
4.444.344.254.174.10
4.204.104.013.943.87
4.033.933.843.773.70
3.893.793.713.633.56
3.783.683.603.523.46
3.693.593.513.433.37
3.553.463.373.303.23
3.413.313.233.153.09
3.263.163.083.002.94
3.103.002.922.842.78
3.022.922.842.762.69
2.932.832.752.672.61
2.842.752.662.582.52
2.752.652.572.492.42
2122232425
8.027.957.887.827.77
5.785.725.665.615.57
4.874.824.764.724.68
4.374.314.264.224.18
4.043.993.943.903.86
3.813.763.713.673.63
3.643.593.543.503.46
3.513.453.413.363.32
3.403.353.303.263.22
3.313.263.213.173.13
3.173.123.073.032.99
3.032.982.932.892.85
2.882.832.782.742.70
2.722.672.622.582.54
2.642.582.542.492.45
2.552.502.452.402.36
2.462.402.352.312.27
2.362.312.262.212.17
2627282930
7.727.687.647.607.56
5.535.495.455.425.39
4.644.604.574.544.51
4.144.114.074.044.02
3.823.783.753.733.70
3.593.563.533.503.47
3.423.393.363.333.30
3.233.263.233.203.17
3.183.153.123.093.07
3.093.063.033.002.98
2.962.932.902.872.84
2.822.782.752.732.70
2.662.632.602.572.55
2.502.472.442.412.39
2.422.382.352.332.30
2.332.292.262.232.21
2.232.202.172.142.11
2.132.102.062.032.01
4060120∞
7.317.086.856.63
5.184.984.794.61
4.314.133.953.79
3.833.653.483.32
3.513.343.173.02
3.293.122.962.80
3.122.952.792.64
2.992.822.662.51
2.892.722.562.41
2.802.632.472.32
2.662.502.342.18
2.522.352.192.04
2.372.202.031.88
2.202.031.861.70
2.111.941.761.59
2.021.841.661.47
1.921.731.531.32
1.801.601.381.00
【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 1%의 점은 F0 99 5 10 5 64. ( , ) .= , 하측확률 1%의 점은 F F0 01 0 995 10 1 10 5 1 101 0 01. .( , ) / ( , ) / . .= = =
0
f F( )
F( , )ν ν1 2F1 1 2−α ν ν( , )
α
SQC통계분포표/A-11
ν1ν2
<부표 12> r 분포표
αν 0.10 0.05 0.02 0.01
10
11
12
13
14
0.4793
0.4762
0.4575
0.4409
0.4259
0.5760
0.5529
0.5324
0.5139
0.4973
0.6581
0.6339
0.6120
0.5923
0.5742
0.7079
0.6835
0.6614
0.6411
0.6226
15
16
17
18
19
0.4124
0.4000
0.3887
0.3783
0.3687
0.4821
0.4683
0.4555
0.4438
0.4329
0.5577
0.5425
0.5285
0.5155
0.5034
0.6055
0.5897
0.5751
0.5614
0.5847
20
25
30
35
40
0.3598
0.3233
0.2960
0.2746
0.2573
0.4227
0.3089
0.3494
0.3246
0.3034
0.4921
0.4451
0.4093
0.3810
0.3578
0.5368
0.4869
0.4487
0.4182
0.3932
50
60
70
80
90
100
0.2306
0.2108
0.1.954
0.1829
0.1726
0.1638
0.2732
0.2500
0.2319
0.2172
0.2050
0.1946
0.3218
0.2948
0.2737
0.2565
0.2422
0.2301
0.3541
0.3248
0.3017
0.2830
0.2673
0.2540
근사식1 645
1.ν +
1 9601
.ν +
2 3262
.ν +
2 5763
.ν +
A-12 / 부록-부표
(자유도 ν에서 r 분포의양측확률 α 인 점의 값)
-1 +10− r r
α2
1− αα2
<부표 13> 슈하트 관리도용 계수표 (1)
<부표 14> 슈하트 관리도용 계수표 (2)
SQC 통계분포표 / A-13
<부표 15> 범위( R )을 사용하는 검정 보조표(보통체는 ν , 고딕체는 c를 나타낸다)
kn 1 2 3 4 5 10 15 20 25 30 k > 5
21.0
1.41
1.9
1.28
2.8
1.23
3.7
1.21
4.6
1.19
9.0
1.16
13.4
1.15
17.8
1.14
22.2
1.14
26.5
1.14
0 8 7 6 0 2 5. .k +
1.128 0.32 k+
32.0
1.91
3.8
1.81
5.7
1.77
7.5
1.75
9.3
1.74
18.4
1.72
27.5
1.71
36.6
1.70
45.6
1.70
54.7
1.70
1 185 0 25. .k +
1.693 0.23 k+
42.9
2.24
5.7
2.15
8.4
2.12
11.2
2.11
13.9
2.10
27.6
2.08
41.3
2.07
55.0
2.06
68.7
2.06
82.4
2.06
2 738 0 25. .k +
2.059 0.19 k+
53.8
2.48
7.5
2.40
11.1
2.38
14.7
2.37
18.4
2.36
36.5
2.34
54.6
2.33
72.7
2.83
90.8
2.33
108.9
2.33
3 623 0 25. .k +
2.326 0.16 k+
64.7
2.67
9.2
2.60
13.6
2.58
18.1
2.57
22.6
2.56
44.9
2.55
67.2
2.54
89.6
2.54
111.9
2.54
134.2
2.54
4 466 0 25. .k +
2.534 0.14 k+
75.5
2.83
10.8
2.77
16.0
2.75
21.3
2.74
26.6
2.73
52.9
2.72
79.3
2.71
105.6
2.71
131.9
2.71
158.3
2.71
5 267 0 25. .k +
2.704 0.13 k+
86.3
2.96
12.3
2.91
18.3
2.89
24.4
2.88
30.4
2.87
60.6
2.86
90.7
2.85
120.9
2.85
151.0
2.85
181.2
2.85
6 0 3 1 0 2 5. .k +
2.847 0.12 k+
97.0
3.08
13.8
3.02
20.5
3.01
27.3
3.00
34.0
2.99
67.8
2.98
101.6
2.98
135.3
2.98
169.2
2.97
203.0
2.97
6 7 5 9 0 2 5. .k +
2.970 0.11 k+
107.7
3.18
15.1
3.13
22.6
3.11
30.1
3.10
37.5
3.10
74.8
3.09
112.0
3.08
149.3
3.08
186.6
3.08
223.8
3.08
7 45 3 0 2 5. .k +
3.078 0.10 k+
A-14/부록-부표
<부표 16> 누적이항분포표
시료수 cp
0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70 080 0.90 0.95
n =10
1
0.950
1.000
0.900
1.000
0.800
1.000
0.700
1.000
0.600
1.000
0.500
1.000
0.400
1.000
0.300
1.000
0.200
1.000
0.100
1.000
0.150
1.000
n = 20
1
2
0.902
0.997
1.000
0.810
0.990
1.000
0.640
0.960
1.000
0.490
0.910
1.000
0.360
0.840
1.000
0.250
0.750
1.000
0.160
0.640
1.000
0.090
0.510
1.000
0.040
0.360
1.000
0.010
0.190
1.000
0.002
0.097
1.000
n = 3
0
1
2
3
0.857
0.993
1.000
1.000
0.729
0.972
0.999
1.000
0.512
0.896
0.992
1.000
0.343
0.784
0.973
1.000
0.216
0.648
0.936
1.000
0.125
0.500
0.875
1.000
0.064
0.352
0.784
1.000
0.027
0.216
0.657
1.000
0.008
0.104
0.488
1.000
0.001
0.028
0.271
1.000
0.000
0.007
0.143
1.000
n = 4
0
1
2
3
4
0.815
0.986
1.000
1.000
1.000
0.656
0.948
0.996
1.000
1.000
0.410
0.810
0.973
0.998
1.000
0.240
0.652
0.916
0.992
1.000
0.130
0.475
0.821
0.974
1.000
0.063
0.313
0.688
0.938
1.000
0.026
0.179
0.525
0.870
1.000
0.008
0.084
0.348
0.760
1.000
0.002
0.027
0.181
0.590
1.000
0.000
0.004
0.052
0.344
1.000
0.000
0.000
0.014
0.185
1.000
n = 5
0
1
2
3
4
5
0.774
0.977
0.999
1.000
1.000
1.000
0.590
0.919
0.991
1.000
1.000
1.000
0.328
0.737
0.942
0.993
1.000
1.000
0.168
0.528
0.837
0.969
0.998
1.000
0.078
0.337
0.683
0.913
0.990
1.000
0.031
0.188
0.500
0.813
0.969
1.000
0.010
0.087
0.317
0.663
0.922
1.000
0.002
0.031
0.163
0.472
0.832
1.000
0.000
0.007
0.058
0.263
0.672
1.000
0.000
0.000
0.009
0.081
0.410
1.000
0.000
0.000
0.001
0.023
0.226
1.000
n = 6
0
1
2
3
4
5
6
0.735
0.967
0.998
1.000
1.000
1.000
1.000
0.531
0.886
0.984
0.999
1.000
1.000
1.000
0.262
0.655
0.901
0.983
0.998
1.000
1.000
0.118
0.420
0.744
0.930
0.989
0.999
1.000
0.047
0.233
0.544
0.821
0.959
0.996
1.000
0.016
0.109
0.344
0.656
0.891
0.984
1.000
0.004
0.041
0.179
0.456
0.767
0.953
1.000
0.001
0.011
0.070
0.256
0.580
0.882
1.000
0.000
0.000
0.017
0.099
0.345
0.738
1.000
0.000
0.000
0.001
0.016
0.114
0.469
1.000
0.000
0.000
0.000
0.002
0.033
0.265
1.000
n=7
0
1
2
3
4
5
5
7
0.698
0.956
0.996
1.000
1.000
1.000
1.000
1.000
0.478
0.850
0.974
0.997
1.000
1.000
1.000
1.000
0.210
0.577
0.852
0.967
0.995
1.000
1.000
1.000
0.082
0.329
0.647
0.874
0.971
0.996
1.000
1.000
0.028
0.159
0.420
0.710
0.904
0.981
0.998
1.000
0.008
0.063
0.227
0.500
0.773
0.938
0.992
1.000
0.002
0.019
0.096
0.290
0.580
0.841
0.972
1.000
0.000
0.004
0.029
0.126
0.353
0.671
0.918
1.000
0.000
0.000
0.005
0.033
0.148
0.423
0.790
1.000
0.000
0.000
0.000
0.003
0.026
0.150
0.522
1.000
0.000
0.000
0.000
0.000
0.004
0.044
0.302
1.000
SQC 통계분포표 / A-15
xn
P X c p p p xx n x
x
c
x
c
[ ] ( ) ( )≤ = − =−
==∑∑ 1
00
<부표 16>의 계속
시료수 cp
0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70 080 0.90 0.95
n =8
0
1
2
3
4
5
6
7
8
0.663
0.943
0.994
1.000
1.000
1.000
1.000
1.000
1.000
0.430
0.813
0.962
0.995
0.995
0.995
1.000
1.000
1.000
0.168
0.503
9.797
0.944
0.990
0.999
1.000
1.000
1.000
0.058
0.255
0.552
0.806
0.942
0.989
0.999
1.000
1.000
0.017
0.103
0.315
0.594
0.826
0.950
0.991
0.999
1.000
0.004
0.035
0.145
0.363
0.637
0.855
0.965
0.996
1.000
0.001
0.009
0.050
0.174
0.406
0.685
0.894
0.983
1.000
0.000
0.001
0.001
0.058
0.194
0.448
0.745
0.942
1.000
0.000
0.000
0.001
0.010
0.056
0.203
0.497
0.832
1.000
0.000
0.000
0.000
0.000
0.005
0.038
0.187
0.570
1.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.337
1.000
n = 9
0
1
2
3
4
5
6
7
8
9
0.630
0.929
0.992
0.999
1.000
1.000
1.000
1.000
1.000
1.000
0.387
0.775
0.947
0.992
0.999
1.000
1.000
1.000
1.000
1.000
0.134
0.436
0.738
0.914
0.980
0.997
1.000
1.000
1.000
1.000
0.040
0.196
0.463
0.730
0.901
0.975
0.996
1.000
1.000
1.000
0.010
0.071
0.232
0.483
0.733
0.901
0.975
0.996
1.000
1.000
0.002
0.020
0.090
0.254
0.500
0.746
0.910
0.980
0.998
1.000
0.000
0.004
0.025
0.099
0.267
0.517
0.768
0.929
0.990
1.000
0.000
0.000
0.004
0.025
0.099
0.270
0.537
0.804
0.960
1.000
0.000
0.000
0.000
0.003
0.020
0.086
0.262
0.564
0.866
1.000
0.000
0.000
0.000
0.000
0.001
0.008
0.053
0.225
0.613
1.000
0.000
0.000
0.000
0.000
0.000
0.001
0.008
0.071
0.370
1.000
n =10
0
1
2
3
4
5
6
7
8
9
10
0.599
0.914
0.988
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.349
0.736
0.930
0.987
0.998
1.000
1.000
1.000
1.000
1.000
1.000
0.107
0.376
0.678
0.879
0.967
0.994
0.999
1.000
1.000
1.000
1.000
0.028
0.149
0.383
0.650
0.850
0.953
0.989
0.998
1.000
1.000
1.000
0.006
0.146
0.167
0.382
0.633
0.834
0.945
0.998
0.998
1.000
1.000
0.001
0.011
0.055
0.172
0.377
0.623
0.828
0.945
0.989
0.999
1.000
0.000
0.002
0.012
0.055
0.166
0.367
0.613
0.833
0.954
0.994
1.000
0.000
0.000
0.002
0.011
0.047
0.150
0.350
0.617
0.851
0.972
1.000
0.000
0.000
0.000
0.001
0.006
0.033
0.121
0.322
0.624
0.893
1.000
0.000
0.000
0.000
0.000
0.000
0.002
0.013
0.070
0.264
0.651
1.000
0.000
0.000
0.000
0.000
0.000
0.000
0.001
0.012
0.086
0.401
1.000
n = 11
0
1
2
3
4
5
6
7
8
9
10
11
0.569
0.898
0.985
0.998
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.314
0.697
0.910
0.981
0.997
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.086
0.322
0.617
0.839
0.950
0.988
0.998
1.000
1.000
1.000
1.000
1.000
0.020
0.113
0.313
0.570
0.790
0.922
0.978
0.996
0.999
1.000
1.000
1.000
0.004
0.030
0.119
0.290
0.533
0.753
0.901
0.971
0.994
0.999
1.000
1.000
0.000
0.006
0.033
0.113
0.274
0.500
0.726
0.887
0.967
0.994
1.000
1.000
0.000
0.001
0.006
0.029
0.099
0.247
0.467
0.704
0.881
0.970
0.996
1.000
0.000
0.000
0.001
0.004
0.022
0.078
0.210
0.430
0.687
0.887
0.980
1.000
0.000
0.000
0.000
0.000
0.002
0.012
0.050
0.161
0.383
0.678
0.914
1.000
0.000
0.000
0.000
0.000
0.000
0.000
0.003
0.019
0.090
0.303
0.686
1.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.002
0.015
0.102
0.431
1.000
A-16 / 부록-부표
<부표 17> 누적포아송분포표
P X c e mx
m x
x
c[ ]
!≤ =
−
=∑
0
cm
0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00
0
1
2
3
4
5
6
7
0.905
0.995
1.000
1.000
1.000
1.000
1.000
1.000
0.819
0.982
0.999
1.000
1.000
1.000
1.000
1.000
0.741
0.963
0.996
1.000
1.000
1.000
1.000
1.000
0.670
0.938
0.992
0.999
1.000
1.000
1.000
1.000
0.607
0.910
0.986
0.998
1.000
1.000
1.000
1.000
0.549
0.878
0.977
0.997
1.000
1.000
1.000
1.000
0.497
0.844
0.966
0.994
0.999
1.000
1.000
1.000
0.449
0.809
0.953
0.991
0.999
1.000
1.000
1.000
0.407
0.772
0.937
0.987
0.998
1.000
1.000
1.000
0.368
0.736
0.920
0.981
0.996
0.999
1.000
1.000
cm
1.11 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00
0
1
2
3
4
5
6
7
8
9
0.333
0.699
0.900
0.974
0.995
0.999
1.000
1.000
1.000
1.000
0.301
0.663
0.879
0.966
0.992
0.998
1.000
1.000
1.000
1.000
0.273
0.627
0.857
0.957
0.989
0.998
1.000
1.000
1.000
1.000
0.247
0.592
0.833
0.946
0.986
0.997
0.999
1.000
1.000
1.000
0.223
0.558
0.809
0.934
0.981
0.996
0.999
1.000
1.000
1.000
0.202
0.525
0.783
0.921
0.976
0.994
0.999
1.000
1.000
1.000
0.183
0.493
0.757
0.907
0.970
0.992
0.998
1.000
1.000
1.000
0.165
0.463
0.731
0.891
0.964
0.990
0.997
0.999
1.000
1.000
0.150
0.434
0.704
0.875
0.956
0.987
0.997
0.999
1.000
1.000
0.135
0.406
0.677
0.857
0.947
0.983
0.995
0.999
1.000
1.000
cm
2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00
0
1
2
3
4
5
6
7
8
9
10
11
12
0.122
0.380
0.650
0.839
0.938
0.980
0.994
0.999
1.000
1.000
1.000
1.000
1.000
0.111
0.355
0.623
0.819
0.928
0.975
0.993
0.998
1.000
1.000
1.000
1.000
1.000
0.100
0.331
0.596
0.799
0.916
0.970
0.991
0.997
0.999
1.000
1.000
1.000
1.000
0.091
0.308
0.570
0.779
0.904
0.964
0.988
0.997
0.999
1.000
1.000
1.000
1.000
0.082
0.287
0.544
0.758
0.891
0.958
0.986
0.996
0.999
1.000
1.000
1.000
1.000
0.074
0.267
0.518
0.736
0.877
0.951
0.983
0.995
0.999
1.000
1.000
1.000
1.000
0.067
0.249
0.494
0.714
0.863
0.943
0.979
0.993
0.998
0.999
1.000
1.000
1.000
0.061
0.231
0.469
0.692
0.848
0.935
0.976
0.992
0.998
0.999
1.000
1.000
1.000
0.055
0.215
0.446
0.670
0.832
0.926
0.971
0.990
0.997
0.999
1.000
1.000
1.000
0.050
0.199
0.423
0.647
0.815
0.916
0.966
0.988
0.996
0.999
1.000
1.000
1.000
SQC 통계분포표 / A-17
<부표 17>의 계속
cm
3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
0.045
0.185
0.401
0.625
0.798
0.906
0.961
0.986
0.995
0.999
1.000
1.000
1.000
1.000
1.000
0.041
0.071
0.380
0.603
0.781
0.895
0.955
0.983
0.994
0.998
1.000
1.000
1.000
1.000
1.000
0.037
0.159
0.359
0.580
0.763
0.883
0.949
0.980
0.993
0.998
0.999
1.000
1.000
1.000
1.000
0.033
0.147
0.340
0.558
0.744
0.871
0.942
0.977
0.992
0.997
0.999
1.000
1.000
1.000
1.000
0.030
0.136
0.321
0.537
0.725
0.858
0.935
0.973
0.990
0.997
0.999
1.000
1.000
1.000
1.000
0.027
0.126
0.303
0.515
0.706
0.844
0.927
0.969
0.988
0.996
0.999
1.000
1.000
1.000
1.000
0.025
0.116
0.285
0.494
0.687
0.830
0.918
0.965
0.986
0.995
0.998
1.000
1.000
1.000
1.000
0.022
0.107
0.269
0.473
0.668
0.816
0.909
0.960
0.984
0.994
0.998
0.999
1.000
1.000
1.000
0.020
0.099
0.253
0.453
0.648
0.801
0.899
0.955
0.981
0.993
0.998
0.999
1.000
1.000
1.000
0.018
0.092
0.238
0.433
0.629
0.785
0.899
0.944
0.979
0.992
0.997
0.999
1.000
1.000
1.000
cm
4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00 8.50 9.00
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0.011
0.061
0.174
0.342
0.532
0.703
0.831
0.913
0.960
0.983
0.993
0.998
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.007
0.040
0.125
0.265
0.440
0.616
0.762
0.867
0.932
0.968
0.986
0.995
0.998
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.004
0.027
0.088
0.202
0.358
0.529
0.686
0.809
0.894
0.946
0.975
0.989
0.996
0.998
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.002
0.017
0.062
0.151
0.285
0.446
0.606
0.744
0.847
0.916
0.957
0.980
0.991
0.996
0.999
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.002
0.011
0.043
0.112
0.224
0.369
0.527
0.673
0.792
0.877
0.933
0.966
0.984
0.993
0.997
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.001
0.007
0.030
0.082
0.173
0.301
0.450
0.599
0.729
0.830
0.901
0.947
0.973
0.987
0.994
0.998
0.999
1.000
1.000
1.000
1.000
1.000
1.000
0.001
0.005
0.020
0.059
0.132
0.241
0.378
0.525
0.662
0.776
0.862
0.921
0.957
0.978
0.990
0.995
0.998
0.999
1.000
1.000
1.000
1.000
1.000
0.000
0.003
0.014
0.042
0.100
0.191
0.313
0.453
0.593
0.717
0.816
0.888
0.936
0.966
0.983
0.992
0.996
0.998
0.999
1.000
1.000
1.000
1.000
0.000
0.002
0.009
0.030
0.074
0.150
0.256
0.386
0.523
0.653
0.763
0.849
0.909
0.949
0.973
0.986
0.993
0.997
0.999
0.999
1.000
1.000
1.000
0.000
0.001
0.006
0.021
0.055
0.116
0.207
0.324
0.456
0.857
0.706
0.803
0.876
0.926
0.959
0.978
0.989
0.995
0.998
0.999
1.000
1.000
1.000
A-18 / 부록-부표
<부표 18> 이항계수표
rn
n rC nr n r
= =−
!!( )!
1 2 3 4 5 6 7 8 9 10
0
1
2
3
4
5
1
1
1
2
1
1
3
3
1
1
4
6
4
1
1
5
10
10
5
1
1
6
15
20
15
6
1
7
21
35
35
21
1
8
28
56
70
56
1
9
36
84
126
126
1
10
45
120
210
252
6
7
8
9
10
1 7
1
28
8
1
84
36
9
1
210
120
45
10
1
nr
11 12 13 14 15 16 17 18 19 20
0
1
2
3
4
5
6
7
8
9
10
1
11
55
165
330
462
462
330
165
55
11
1
12
66
220
495
792
924
792
495
220
66
1
13
78
286
715
1287
1716
1716
1287
715
286
1
14
91
364
1001
2002
3003
3432
3003
2002
1001
1
15
105
455
1365
3003
5005
6435
6435
5005
3003
1
16
120
560
1820
4368
8008
11440
12870
11440
8008
1
17
136
680
2380
6188
12376
19448
24310
24310
19448
1
18
153
816
3060
8568
18564
31824
43758
48620
43758
1
19
171
969
3876
11628
27132
50388
75582
92378
92378
1
20
190
1140
4845
15504
38760
77520
125970
167960
184756
11
12
13
14
15
16
17
18
19
20
1 12
1
78
13
1
364
91
14
1
1365
455
105
15
1
4368
1820
560
120
16
1
12376
6188
2380
680
136
17
1
31824
18564
8568
3060
816
153
18
1
75582
50388
27132
11628
3876
969
171
19
1
167960
125970
77520
38760
15504
4845
1140
190
20
1
SQC 통계분포표 / A-19
nr
<부표 19> 정규확률분포표
z *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9
0.0*0.1*0.2*0.3*0.4*
.3989
.3970
.3910
.3914
.3683
.3989
.3965
.3902
.3802
.3668
.3989
.3961
.3894
.3970
.3653
.3988
.3956
.3885
.3778
.3637
.3986
.3951
.3876
.3765
.3605
.3984
.3945
.3867
.3752
.3605
.3982
.3939
.3857
.3739
.3589
.3980
.3932
.3847
.3725
.3572
.3977
.3925
.3836
.3712
.3555
.3973
.3918
.3825
.3697
.3538
0.5*0.6*0.7*0.8*0.9*
.3521
.3332
.3123
.2879
.2661
.3503
.3312
.3101
.2874
.2637
.3485
.3292
.3079
.2850
.2613
.3467
.3271
.3056
.2827
.2589
.3448
.3251
.3034
.2803
.2565
.3429
.3230
.3011
.2780
.2541
.3410
.3209
.2989
.2756
.2516
.3391
.3187
.2966
.2732
.2492
.3372
.3166
.2943
.2709
.2468
.3352
.3144
.2920
.2685
.2444
1.0*1.1*1.2*1.3*1.4*
.2420
.2179
.1942
.1714
.1497
.2396
.2155
.1919
.1691
.1476
.2371
.2131
.1895
.1669
.1456
.2347
.2107
.1872
.1647
.1435
.2323
.2083
.1849
.1626
.1415
.2299
.2059
.1826
.1604
.1394
.2275
.2036
.1804
.1582
.1374
.2251
.2012
.1781
.1561
.1354
.2227
.1989
.1753
.1539
.1334
.2203
.1965
.1736
.1518
.1315
1.5*1.6*1.7*1.8*1.9*
.1295
.1109.09405.07895.06562
.1276
.1092.09246.07754.06438
.1257
.1074.09089.07614.06316
.1238
.1057.08933.07477.06195
.1219
.1040.08780.07341.06077
.1200
.1023.08628.07206.05959
.1182
.1006.08478.07074.05844
.1163.09893.08329.06943.05730
.1146.09728.08183.06814.05618
.1127.09566.08038.06687.05508
2.0*2.1*2.2*2.3*2.4*
.05399
.04398
.03547
.02833
.02239
.05292
.04307
.03470
.02768
.02186
.05186
.04217
.03394
.02705
.02134
.05082
.04128
.03319
.02643
.02083
.04980
.04041
.03246
.02582
.02033
.04879
.03955
.03174
.02522
.01984
.04780
.03871
.03103
.02763
.01936
.04682
.03788
.03034
.02406
.01888
.04586
.03706
.02965
.02349
.01842
.04491
.03626
.02898
.02294
.01797
2.5*2.6*2.7*2.8*2.9*
.01753
.01358
.01042.027915.025953
.01709
.01323
.01014.027697.025782
.01667
.01289
.09871.027483.025616
.01625
.01256.029606.027274.025454
.01585
.01223.029347.027071.025296
.01545
.01191.029094.026873.025143
.01506
.01160.028846.026679.024993
.01468
.01130.028605.026491.024847
.01431
.01100.028370.026307.024705
.01394
.01071.028140.026127.024567
3.0*3.1*3.2*3.3*3.4*
.024432
.023267
.022384
.021723
.021232
.024301
.023167
.022309
.021667
.021191
.024173
.023070
.022236
.021612
.021151
.024049
.022975
.022165
.021560
.021112
.023928
.022884
.022096
.021508
.021075
.023810
.022794
.022029
.021459
.021038
.023695
.022707
.021964
.021411
.021003
.023854
.022623
.021901
.021364
.029689
.023475
.022541
.021840
.021319
.029358
.023370
.022461
.021780
.021275
.029037
3.5*3.6*3.7*3.8*3.9*
.038727
.036119
.034248
.032919
.031987
.038426
.035902
.034093
.032810
.031910
.038135
.035693
.033944
.032705
.031837
.037853
.035490
.033800
.032604
.031766
.037581
.035294
.033661
.032506
.031698
.037317
.035105
.033526
.032411
.031633
.037061
.034921
.033396
.032320
.031569
.036814
.034744
.033721
.032232
.031508
.036575
.034573
.033149
.032147
.031449
.036343
.034408
.033032
.032065
.031393
4.0*4.1*4.2*4.3*4.4*
.031338
.048926
.045894
.043854
.042494
.031286
.048567
.045652
.043691
.042387
.031235
.048222
.045418
.043535
.042284
.031186
.047890
.045194
.043386
.042185
.031140
.047570
.044979
.043242
.042090
.031094
.047263
.044772
.043104
.041999
.031051
.046967
.044573
.042972
.041912
.031009
.046683
.044382
.042845
.041829
.049687
.046410
.044199
.042723
.041749
.049299
.046147
.044023
.042606
.041672
4.5*4.6*4.7*4.8*4.9*
.041598
.041014.06370.03961.02439
.041628
.059684
.056077
.053775
.052322
.041461
.059248
.055797
.053598
.052211
.041393
.058850
.055530
.053428
.052105
.041334
.058430
.055374
.053267
.052003
.041275
.058047
.055030
.053112
.051907
.041218
.057681
.054796
.052965
.051811
.041164
.057331
.054573
.052824
.051727
.041112
.056996
.054360
.052690
.051643
.041062
.056676
.054156
.052561
.051563
【주】 z = 05. 일 때 φ ( ) .z = 0 3521 이며, z = −5 일 때도 식에서 z2 은 (+)값이므로
φ ( . ) .z = − =0 5 0 3521 로 구한다.
A-20 / 부록-부표
− ⋅12
2zf t z( ) ( ) exp= =φπ
12
<부표 20> 정규누적확률분포표
z Φ ( )z z Φ ( )z z Φ ( )z z Φ ( )z z Φ ( )z z Φ ( )z
.00
.01
.02
.03
.04
.50000
.50339
.50798
.51197
.51595
.60
.61
.62
.63
.64
.72575
.72907
.73237
.73565
.73891
1.201.211.221.231.24
.88493
.88686
.88877
.89065
.89251
1.801.811.821.831.84
.96047
.96485
.96562
.96638
.96762
2.402.412.422.432.44
.99180
.99202
.99224
.99245
.99266
3.003.013.023.033.04
.99865
.99869
.99874
.99878
.99882
.05
.06
.07
.08
.09
.51994
.52392
.52790
.53188
.53586
.65
.66
.67
.68
.69
.74215
.74537
.74857
.75175
.75490
1.251.261.271.281.29
.89435
.89617
.89795
.89973
.90147
1.851.861.871.881.89
.96784
.96856
.96926
.96995
.97062
2.452.462.472.482.49
.99286
.99305
.99324
.99343
.99361
3.053.063.073.083.09
.99886
.99889
.99893
.99896
.99900
.10
.11
.12
.13
.14
.53983
.54380
.54776
.55172
.55567
.70
.71
.72
.73
.74
.75804
.76115
.76424
.76731
.77035
1.301.311.321.331.34
.90320
.90490
.90658
.90824
.90988
1.901.911.921.931.94
.97128
.97193
.97257
.97320
.97381
2.502.512.522.532.54
.99379
.99396
.99413
.99430
.99446
3.103.113.123.133.14
.99903
.99906
.99910
.99913
.99916
.15
.16
.17
.18
.19
.55962
.56356
.56750
.57142
.57535
.75
.76
.77
.78
.79
.77337
.77637
.77935
.78230
.78524
1.351.361.371.381.39
.91149
.91308
.91466
.91621
.91774
1.951.961.971.981.99
.97441
.97500
.97558
.97615
.97670
2.552.562.572.582.59
.99461
.99477
.99492
.99506
.99520
3.153.163.173.183.19
.99918
.99921
.99924
.99926
.99929
.20
.21
.22
.23
.24
.57926
.58317
.58706
.59095
.59483
.80
.81
.82
.83
.84
.78814
.79103
.79389
.79673
.79955
1.401.411.421.431.44
.91924
.92073
.92220
.92364
.92507
2.002.012.022.032.04
.97725
.97778
.97831
.97882
.97932
2.602.612.622.632.64
.99534
.99557
.99560
.99573
.99585
3.203.213.223.233.24
.99931
.99934
.99936
.99938
.99940
.25
.26
.27
.28
.29
.59871
.60257
.60642
.61026
.61409
.85
.86
.87
.88
.89
.80234
.80511
.80785
.81057
.81327
1.451.461.471.481.49
.92647
.92785
.92922
.93056
.93189
2.052.062.072.082.09
.97982
.98030
.98077
.98124
.98169
2.652.662.672.682.69
.99598
.99609
.99621
.99632
.99643
3.253.263.293.283.29
.99942
.99944
.99946
.99948
.99950
.30
.31
.32
.33
.34
.61791
.62172
.62552
.62930
.63307
.90
.91
.92
.93
.94
.81594
.81858
.82121
.82381
.82639
1.501.511.521.531.54
.93319
.93448
.93574
.93699
.93822
2.102.112.122.132.14
.98214
.98257
.98300
.98341
.98382
2.702.712.722.732.74
.99653
.99664
.99674
.99683
.99693
3.303.313.323.333.34
.99952
.99953
.99955
.99957
.99958
.35
.36
.37
.38
.39
.63683
.64058
.64431
.64803
.65173
.95
.96
.97
.98
.99
.82894
.83147
.83398
.83646
.83891
1.551.561.571.581.59
.93943
.94062
.94179
.94295
.94408
2.152.162.172.182.19
.98422
.98461
.98500
.98537
.98574
2.752.762.772.782.79
.99702
.99711
.99720
.99728
.99736
3.353.363.373.383.39
.99960
.99961
.99962
.99964
.99965
.40
.41
.41
.43
.44
.65542
.65910
.66276
.66640
.67003
1.001.011.021.031.04
.84134
.84375
.84614
.84850
.85083
1.601.611.621.631.64
.94520
.94630
.94738
.94845
.94950
2.202.212.222.232.24
.98610
.98645
.98679
.98713
.98745
2.802.812.822.832.84
.99744
.99752
.99760
.99767
.99774
3.403.413.423.433.44
.99966
.99968
.99969
.99970
.99971
.45
.46
.47
.48
.49
.67364
.67724
.68082
.68439
.68793
1.051.061.071.081.09
.85314
.85543
.85769
.85993
.86214
1.651.661.671.681.69
.95053
.95154
.95254
.95352
.95449
2.252.262.272.282.29
.98778
.93809
.98840
.98870
.98899
2.852.862.872.882.89
.99781
.99788
.99795
.99801
.99807
3.453.463.473.483.49
.99972
.99973
.99974
.99975
.99976
.50
.51
.52
.52
.54
.69146
.69497
.69847
.70194
.70540
1.101.111.121.131.14
.86433
.86650
.86864
.87076
.87286
1.701.711.721.731.74
.95543
.95637
.95728
.95818
.95907
2.302.312.322.332.34
.98928
.98956
.98983
.99010
.99036
2.902.912.922.932.94
.99813
.99819
.99825
.99831
.99836
3.50 .99977
.55
.56
.57
.58
.59
.70884
.71226
.71566
.71904
.72240
1.151.161.171.181.19
.87493
.87698
.87900
.88100
.88298
1.751.761.771.781.79
.95994
.96080
.96164
.96246
.96327
2.352.362.372.382.39
.99061
.99086
.99111
.99134
.99158
2.952.962.972.982.99
.99841
.99846
.99851
.99856
.99861
【주】Φ ( )z 는 −∞에서 z까지 적분한 값이므로 z = 05. 일 때 Φ ( . ) .0 5 0 69146= 이고,
z = −0 5. 일 때 Φ( . ) . .− = − =05 1 0 69146 0 30854이다
신뢰성 분포표 / A-21
z
− ∞
z
− ∞F t z z dt z dt t( ) ( ) exp ( )= = ⋅ − = =
−Φ Φ 1
212
2
πφ μ
σ
<부표 21> 감마함수표
0
∞Γ( ) )x t e dt xx t= ⋅ >− − (1 0
A-22 / 부록-부표
<부표 22> MTBF(지수분포) 구간추정 계수표 (정시중단)
고장수
r60% 80% 90% 95%
상 하 상 하 상 하 상 하
1
2
3
4
5
4.481
2.426
1.945
1.742
1.618
0.334
0.467
0.544
0.595
0.632
9.491
3.761
2.722
2.293
2.055
0.257
0.376
0.449
0.500
0.539
19.496
5.630
3.669
2.928
2.538
0.211
0.318
0.387
0.437
0.476
39.498
8.262
4.849
3.670
3.080
0.179
0.277
0.342
0.391
0.429
6
7
8
9
10
1.537
1.479
1.435
1.400
1.372
0.661
0.684
0.703
0.719
0.733
1.904
1.797
1.718
1.657
1.607
0.570
0.595
0.616
0.634
0.649
2.296
2.131
2.010
1.917
1.843
0.507
0.532
0.554
0.573
0.590
2.725
2.487
2.316
2.187
2.085
0.459
0.485
0.508
0.527
0.544
11
12
13
14
15
1.349
1.329
1.312
1.297
1.284
0.744
0.755
0.764
0.772
0.780
1.567
1.533
1.504
1.478
1.456
0.663
0.675
0.686
0.696
0.704
1.783
1.733
1.691
1.654
1.622
0.604
0.617
0.629
0.640
0.649
2.003
1.935
1.878
1.829
1.787
0.559
0.572
0.585
0.596
0.606
16
17
18
19
20
1.272
1.262
1.253
1.244
1.237
0.787
0.793
0.799
0.804
0.809
1.437
1.419
1.404
1.390
1.377
0.713
0.720
0.727
0.734
0.740
1.594
1.569
1.547
1.527
1.509
0.658
0.667
0.674
0.682
0.688
1.750
1.717
1.687
1.661
1.637
0.616
0.625
0.633
0.640
0.647
21
22
23
24
25
1.230
1.223
1.217
1.211
1.206
0.813
0.818
0.822
0.825
0.829
1.365
1.354
1.344
1.355
1.327
0.745
0.750
0.755
0.760
0.764
1.492
1.477
1.463
1.450
1.438
0.694
0.700
0.706
0.711
0.716
1.615
1.596
1.578
1.561
1.545
0.654
0.660
0.666
0.672
0.677
26
27
28
29
30
1.201
1.197
1.193
1.189
1.185
0.832
0.835
0.838
0.841
0.844
1.319
1.311
1.304
1.298
1.291
0.768
0.772
0.776
0.780
0.783
1.427
1.417
1.407
1.398
1.389
0.721
0.725
0.729
0.733
0.737
1.531
1.517
1.505
1.493
1.482
0.682
0.687
0.692
0.696
0.700
40
50
60
70
80
90
100
1.156
1.137
1.124
1.113
1.105
1.098
1.093
0.865
0.879
0.839
0.898
0.904
0.910
0.915
1.245
1.214
1.193
1.176
1.163
1.153
1.144
0.810
0.829
0.843
0.854
0.863
0.870
0.877
1.325
1.283
1.254
1.232
1.214
1.200
1.189
0.768
0.790
0.807
0.820
0.830
0.839
0.847
1.400
1.347
1.370
1.283
1.261
1.244
1.229
0.734
0.759
0.777
0.791
0.803
0.814
0.822
신뢰성 분포표 / A-23
<부표 23> MTBF(지수분포) 구간추정 계수표 (정수중단)
고장수r
60% 80% 90% 95%
상 하 상 하 상 하 상 하
1
2
3
4
5
4.481
2.426
1.945
1.742
1.618
0.621
0.668
0.701
0.725
0.744
9.491
3.761
2.722
2.293
2.055
0.434
0.514
0.564
0.599
0.626
19.496
5.630
3.669
2.928
2.538
0.334
0.422
0.477
0.516
0.546
39.498
8.262
4.849
3.670
3.080
0.271
0.359
0.415
0.456
0.488
6
7
8
9
10
1.537
1.479
1.435
1.400
1.372
0.759
0.771
0.782
0.791
0.799
1.904
1.797
1.718
1.657
1.607
0.647
0.665
0.680
0.693
0.704
2.296
2.131
2.010
1.917
1.843
0.571
0.591
0.608
0.623
0.637
2.725
2.487
2.316
2.187
2.085
0.514
0.536
0.555
0.571
0.585
11
12
13
14
15
1.349
1.329
1.312
1.297
1.284
0.806
0.812
0.818
0.823
0.828
1.567
1.533
1.504
1.478
1.456
0.714
0.723
0.731
0.738
0.745
1.783
1.733
1.691
1.654
1.622
0.649
0.659
0.669
0.677
0.685
2.003
1.935
1.878
1.829
1.787
0.598
0.610
0.620
0.630
0.639
16
17
18
19
20
1.272
1.262
1.253
1.244
1.237
0.832
0.836
0.840
0.843
0.846
1.437
1.419
1.404
1.390
1.377
0.751
0.757
0.763
0.767
0.772
1.594
1.569
1.547
1.527
1.509
0.693
0.700
0.706
0.712
0.717
1.750
1.717
1.687
1.661
1.637
0.647
0.654
0.661
0.668
0.674
21
22
23
24
25
1.230
1.223
1.217
1.211
1.206
0.849
0.852
0.855
0.857
0.860
1.365
1.354
1.344
1.355
1.327
0.776
0.781
0.784
0.788
0.792
1.492
1.477
1.463
1.450
1.438
0.723
0.728
0.732
0.737
0.741
1.615
1.596
1.578
1.561
1.545
0.680
0.685
0.691
0.695
0.700
26
27
28
29
30
1.201
1.197
1.193
1.189
1.185
0.862
0.864
0.866
0.868
0.870
1.319
1.311
1.304
1.298
1.291
0.795
0.798
0.801
0.804
0.806
1.427
1.417
1.407
1.398
1.389
0.745
0.748
0.752
0.755
0.759
1.531
1.517
1.505
1.493
1.482
0.705
0.709
0.713
0.717
0.720
40
50
60
70
80
90
100
1.156
1.137
1.124
1.113
1.105
1.098
1.093
0.885
0.896
0.904
0.910
0.915
0.920
0.923
1.245
1.214
1.193
1.176
1.163
1.153
1.144
0.828
0.844
0.856
0.865
0.873
0.879
0.885
1.325
1.283
1.254
1.232
1.214
1.200
1.189
0.785
0.804
0.819
0.830
0.840
0.848
0.855
1.400
1.347
1.370
1.283
1.261
1.244
1.229
0.750
0.772
0.785
0.802
0.813
0.822
0.830
A-24 / 부록-부표
<부표 24> 오메가 변환표 (1)
p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB
0.00.10.20.30.4
00*
-29.995-26.980-25.215-23.961
5.55.65.75.85.9
-12.350-12.267-12.185-12.105-12.026
11.011.111.211.311.4
-9.079-9.035-8.991-8.947-8.904
16.516.616.716.816.9
-7.041-7.010-6.978-6.947-6.916
22.022.122.222.322.4
-5.496-5.470-5.445-5.420-5.395
27.527.627.727.827.9
-4.209-4.187-4.166-4.144-4.122
0.50.60.70.80.9
-22.988-22.191-21.518-20.933-20.417
6.06.16.26.36.4
-11.949-11.872-11.797-11.723-11.650
11.511.611.711.811.9
-8.861-8.819-8.777-8.735-8.693
17.017.117.217.317.4
-6.885-6.855-6.824-6.794-6.763
22.522.622.722.822.9
-5.370-5.345-5.321-5.296-5.271
28.028.128.228.328.4
-4.101-4.079-4.058-4.036-4.015
1.01.11.21.31.4
-19.955-19.537-19.155-18.803-18.476
6.56.66.76.86.9
-11.578-11.507-11.437-11.368-11.300
12.012.112.212.312.4
-8.652-8.611-8.570-8.530-8.490
17.517.617.717.817.9
-6.733-6.703-6.673-6.644-6.614
23.023.123.223.323.4
-5.427-5.222-5.198-5.173-5.149
28.528.628.728.828.9
-3.994-3.972-3.951-3.930-3.909
1.51.61.71.81.9
-18.172-17.888-17.620-17.367-17.128
7.07.17.27.37.4
-11.233-11.167-11.101-11.037-10.973
12.512.612.712.812.9
-8.450-8.410-8.371-8.332-8.293
18.018.118.218.318.4
-6.584-6.555-6.526-6.497-6.468
23.523.623.723.823.9
-5.125-5.101-5.077-5.053-5.029
29.029.129.229.329.4
-3.888-3.867-3.846-3.825-3.804
2.02.12.22.32.4
-16.901-16.685-16.748-16.281-16.091
7.57.67.77.87.9
-10.910-10.848-10.786-10.725-10.655
13.013.113.213.313.4
-8.255-8.216-8.178-8.141-8.103
18.518.618.718.818.9
-6.439-6.410-6.381-6.353-6.325
24.024.124.224.324.4
-5.005-4.981-4.958-4.934-4.910
29.529.629.729.829.9
-3.787-3.762-3.741-3.720-3.699
2.52.62.72.82.9
-15.910-15.735-15.566-15.404-15.247
8.08.18.28.38.4
-10.606-10.547-10.489-10.432-10.375
13.513.613.713.813.9
-8.066-8.029-7.992-7.955-7.919
19.019.119.219.319.4
-6.296-6.268-6.240-6.212-6.184
24.524.624.724.824.9
-4.887-4.863-4.840-4.817-4.793
30.030.130.230.330.4
-3.679-3.658-3.537-3.617-3.596
3.03.13.23.33.4
-15.096-14.949-14.806-14.688-14.534
8.58.68.78.88.9
-10.319-10.263-10.209-10.154-10.100
14.014.114.214.314.4
-7.883-7.847-7.811-7.775-7.740
19.519.619.719.819.9
-6.157-6.129-6.101-6.074-6.047
25.025.125.225.325.4
-4.770-4.747-4.724-4.701-4.678
30.530.630.730.830.9
-3.576-3.555-3.535-3.515-3.494
3.53.63.73.83.9
-14.404-14.277-14.153-14.033-13.916
9.09.19.29.39.4
-10.047-9.994-9.942-9.890-9.839
14.514.614.714.814.9
-7.705-7.670-7.635-7.601-7.566
20.020.120.220.320.4
-6.020-5.993-5.996-5.939-5.912
25.525.625.725.825.9
-4.655-4.632-4.610-4.587-4.564
31.031.131.231.331.4
-3.474-3.454-3.433-3.413-3.393
4.04.14.24.34.4
-13.801-13.689-13.580-12.473-12.369
9.59.69.79.89.9
-9.788-9.738-9.688-9.639-9.570
15.015.115.215.315.4
-7.532-7.498-7.465-7.431-7.397
20.520.620.720.820.9
-5.885-5.859-5.832-5.806-5.779
26.026.126.226.326.4
-4.542-4.519-4.497-4.474-4.452
31.531.631.731.831.9
-3.373-3.353-3.333-3.313-3.293
4.54.64.74.84.8
-13.267-13.167-13.069-12.973-12.879
10.010.110.210.310.4
-9.541-9.493-9.446-9.399-9.352
15.515.615.715.815.9
-7.364-7.331-7.298-7.266-7.233
21.021.121.221.321.4
-5.753-5.727-5.701-5.675-5.649
26.526.626.726.826.9
-4.429-4.407-4.385-4.363-4.341
32.032.132.232.332.4
-3.273-3.253-3.233-3.213-3.193
5.05.15.25.35.4
-12.787-12.696-12.607-12.520-12.434
10.510.610.710.810.9
-9.305-9.259-9.214-9.168-9.124
16.016.116.216.316.4
-7.201-7.168-7.136-7.104-7.073
21.521.621.721.821.9
-5.623-5.598-5.572-5.547-5.521
27.027.127.227.327.4
-4.319-4.297-4.275-4.253-4.231
32.532.632.732.832.9
-3.173-3.153-3.134-3.114-3.094
실험계획 분포표 (다구찌 품질공학) / A-25
dB = − −⎛⎝⎜
⎞⎠⎟10 1 1log
p
오메가 변환표 (2)
p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB
33.033.133.233.333.4
-3.075-3.055-3.055-3.016-2.996
39.039.139.239.339.4
-1.943-1.923-1.905-1.887-1.869
45.045.145.245.345.4
-0.871-0.853-0.835-0.818-0.800
51.051.151.251.351.4
0.1740.1910.2090.2260.243
57.057.157.257.357.4
1.2241.2421.2601.2771.295
63.063.163.263.363.4
2.3112.3302.3492.3672.386
33.533.633.733.833.9
-2.977-2.957-2.938-2.918-2.899
39.539.639.739.839.9
-1.851-1.832-1.814-1.796-1.778
45.545.645.745.845.9
-0.783-0.765-0.748-0.730-0.713
51.551.651.751.851.9
0.2610.2780.2950.3130.330
57.557.657.757.857.9
1.3131.3311.3481.3661.384
63.563.663.763.863.9
2.4052.4242.4422.4612.480
34.034.134.234.334.4
-2.880-2.860-2.841-2.822-2.802
40.040.140.240.340.4
-1.760-1.742-1.724-1.706-1.688
46.046.146.246.346.4
-0.695-0.678-0.660-0.643-0.625
52.052.152.252.352.4
0.3480.3650.3820.4000.417
58.058.158.258.358.4
1.4021.4201.4371.4551.473
64.064.164.264.364.4
2.4902.5182.5372.5552.574
34.534.634.734.834.9
-2.783-2.764-2.745-2.726-2.707
40.540.640.740.840.9
-1.670-1.652-1.634-1.616-1.598
46.546.646.746.846.9
-0.608-0.591-0.573-0.556-0.538
52.552.652.752.852.9
0.4350.4520.4690.4870.504
58.558.658.758.858.9
1.4911.5091.5271.5451.563
64.564.664.764.864.9
2.5932.6122.6312.6502.669
35.035.135.235.335.4
-2.687-2.668-2.649-2.630-2.611
41.041.141.241.341.4
-1.580-1.562-1.544-1.526-1.508
47.047.147.247.347.4
-0.521-0.503-0.486-0.468-0.451
53.053.153.253.353.4
0.5220.5390.5570.5740.592
59.059.159.259.359.4
1.5811.5991.6171.6351.653
65.065.165.265.365.4
2.6882.7082.7272.7462.765
35.535.635.735.835.9
-2.592-2.573-2.554-2.536-2.517
41.541.641.741.841.9
-1.490-1.472-1.454-1.436-1.419
47.547.647.747.847.9
-0.434-0.416-0.399-0.381-0.364
53.553.653.753.853.9
0.6090.6260.6440.6610.679
59.559.659.759.859.9
1.6711.6891.7071.7251.743
65.565.665.765.865.9
2.7842.8032.8232.8422.861
36.036.136.236.336.4
-2.498-2.479-2.460-2.441-2.423
42.042.142.242.342.4
-1.401-1.383-1.365-1.347-1.330
48.048.148.248.348.4
-0.347-0.329-0.312-0.294-0.277
54.054.154.254.354.4
0.6960.7140.7310.7490.766
60.060.160.260.360.4
1.7611.7791.7971.8151.833
66.066.166.266.366.4
2.8812.9002.9192.9392.968
36.536.636.736.836.9
-2.404-2.385-2.366-2.348-2.329
42.542.642.742.842.9
-1.312-1.294-1.276-1.259-1.241
48.548.648.748.848.9
-0.260-0.242-0.225-0.208-0.190
54.554.654.754.854.9
0.7840.8010.8190.8360.854
60.560.660.760.860.9
1.8521.8701.8881.9061.924
66.566.666.766.866.9
2.9782.9973.0173.0363.056
37.037.137.237.337.4
-2.310-2.292-2.273-2.255-2.236
43.043.143.243.343.4
-1.223-1.205-1.188-1.170-1.152
49.049.149.249.349.4
-0.173-0.155-0.138-0.121-0.103
550551552553554
0.8720.8890.9070.9240.942
61.061.161.261.361.4
1.9431.9611.9791.9972.016
67.067.167.267.367.4
3.0763.0953.1153.1353.154
37.537.637.737.837.9
-2.217-2.199-2.180-2.162-2.144
43.543.643.743.843.9
-1.135-1.117-1.099-1.082-1.064
49.549.649.749.849.9
-0.086-0.068-0.051-0.034-0.016
555556557558559
0.9590.9770.9951.0121.030
61.561.661.761.861.9
2.0342.0522.0712.0892.108
67.567.667.767.867.9
3.1743.1943.2143.2343.254
38.038.138.228.338.4
-2.125-2.107-2.088-2.070-2.051
44.044.144.244.344.4
-1.046-1.029-1.011-0.994-0.976
50.050.150.250.350.4
0.0000.0170.0350.0520.069
560561562563564
1.0471.0651.0831.1001.118
62.062.162.262.362.4
2.1262.1452.1632.1812.200
68.068.168.268.368.4
3.2743.2943.3143.3343.354
38.538.638.738.838.9
-2.033-2.015-1.996-1.978-1.960
44.544.644.744.844.9
-0.958-0.941-0.923-0.906-0.888
50.550.650.750.850.9
0.0870.1040.1220.1390.156
565566567568569
1.1361.1531.1711.1891.206
62.562.662.762.862.9
2.2182.2372.2562.2742.293
68.568.668.768.868.9
3.3743.3943.4143.4343.455
A-26 / 부록-부표
dB = − −⎛⎝⎜
⎞⎠⎟10 1 1log
p
오메가 변환표 (3)
p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB
69.069.169.269.369.4
3.4753.4953.5163.5363.556
74.574.674.774.874.9
4.6564.6794.7024.7254.748
80.080.180.280.380.4
6.0216.0486.0756.1026.130
85.585.685.785.885.9
7.7067.7417.7767.8127.848
91.091.191.291.391.4
10.04810.11110.15510.21010.264
96.596.696.796.896.9
14.40514.53514.66914.80714.950
69.569.669.769.869.9
3.5773.5973.6183.6383.659
75.075.175.275.375.4
4.7714.7944.8184.8414.864
80.580.680.780.880.9
6.1586.1856.2136.2416.269
86.086.186.286.386.4
7.8847.9207.9567.9938.030
91.591.691.791.891.9
10.32010.37610.43310.49010.548
97.097.197.297.397.4
15.09715.24815.40515.56715.736
70.070.170.270.370.4
3.6803.7003.7213.7423.763
75.575.675.775.875.9
4.8884.9114.9354.9594.982
81.081.181.281.381.4
6.2976.3266.3546.3826.411
86.586.686.786.886.9
8.0678.1048.1428.1798.217
92.092.192.292.392.4
10.60710.66610.72610.78710.849
97.597.697.797.897.9
15.91116.09216.28216.47916.686
70.570.670.770.870.9
3.7843.8053.8263.8473.868
76.076.176.276.376.4
5.0065.0305.0545.0785.102
81.581.681.781.881.9
6.4406.4696.4986.5276.556
87.087.187.287.387.4
8.2568.2948.3338.3728.411
92.592.692.792.892.9
10.91110.97411.03811.10211.168
98.098.198.298.398.4
16.90217.12917.36817.62117.889
71.071.171.271.371.4
3.8893.9103.9313.9523.973
76.576.676.776.876.9
5.1265.1505.1745.1995.223
82.082.182.282.382.4
6.5856.6156.6456.6746.704
87.587.687.787.887.9
8.4518.4918.5318.5718.612
93.093.193.293.393.4
11.23411.30111.36911.43811.508
98.598.698.798.898.9
18.17318.47718.80419.15619.538
71.571.671.771.871.9
3.9954.0164.0374.0594.080
77.077.177.277.377.4
5.2485.2725.2975.3225.346
82.582.682.782.882.9
6.7346.7646.7956.8256.856
88.088.188.288.388.4
8.6538.6948.7368.7788.820
93.593.693.793.893.9
11.57911.65111.72411.79811.873
99.099.199.299.399.4
19.95620.41820.93421.51922.192
72.072.172.272.372.4
4.1024.1234.1454.1674.188
77.577.677.777.877.9
5.3715.3965.4215.4465.471
83.083.183.283.383.4
6.8866.9176.9486.9797.011
88.588.688.788.888.9
8.8628.9058.9488.9929.036
94.094.194.294.394.4
11.95012.02712.10612.18612.268
99.599.699.799.899.9
22.98923.96225.21626.98129.996
72.572.672.772.872.9
4.2104.2324.2544.2764.298
78.078.178.278.378.4
5.4975.5225.5485.5735.599
83.583.683.783.883.9
7.0427.0747.1057.1377.169
89.089.189.289.389.4
9.0809.1259.1699.2159.260
94.594.694.794.894.9
12.35112.43512.52112.60812.697
100.0 ∞*.
73.073.173.273.373.4
4.3204.3424.3644.3864.408
78.578.678.778.878.9
5.6245.6505.6765.7025.728
84.084.184.284.384.4
7.2027.2347.2677.2997.332
89.589.689.789.889.9
9.3069.3539.4009.4479.494
95.095.195.295.395.4
12.78812.88012.97412.07012.188
73.573.673.773.873.9
4.4304.4534.4754.4984.520
79.079.179.279.379.4
5.7545.7805.8075.8335.860
84.584.684.784.884.9
7.3657.3987.4327.4667.499
90.090.190.290.390.4
9.5429.5919.6409.6899.739
95.595.695.795.895.9
13.26813.37013.47413.58113.690
74.074.174.274.374.4
4.5434.5654.5884.6114.633
79.579.679.779.879.9
5.8865.9135.9405.9675.994
85.085.185.285.385.4
7.5337.5677.6027.6367.671
90.590.690.790.890.9
9.7899.8409.8919.9439.995
96.096.196.296.396.4
13.80213.91714.03414.15414.278
실험계획 분포표 (다구찌 품질공학) / A-27
dB = − −⎛⎝⎜
⎞⎠⎟10 1 1log
p
<부표 25> 데시벨(dB)표 (1)
η dB η dB η dB η dB η dB η dB
1.00
1.01
1.02
1.03
1.04
0.00
0.04
0.09
0.13
0.17
1.50
1.51
1.52
1.53
1.54
1.76
1.79
1.81
1.85
1.88
2.00
2.01
2.02
2.03
2.04
3.01
3.03
3.05
3.08
3.10
2.50
2.51
2.52
2.53
2.54
3.98
4.00
4.01
4.03
4.05
3.00
3.01
3.02
3.03
3.04
4.77
4.79
4.80
4.81
4.83
3.50
3.51
3.52
3.53
3.54
5.44
5.45
5.47
5.48
5.49
1.05
1.06
1.07
1.08
1.09
0.21
0.25
0.29
0.33
0.37
1.55
1.56
1.67
1.58
1.59
1.90
1.93
1.96
1.99
2.01
2.05
2.06
2.07
2.08
2.09
3.12
3.14
3.16
3.18
3.20
2.55
2.56
2.57
2.58
2.59
4.06
4.08
4.10
4.12
4.13
3.05
3.06
3.07
3.08
3.09
4.84
4.86
4.87
4.89
4.90
3.55
3.56
3.57
3.58
3.59
5.50
5.51
5.53
5.54
5.55
1.10
1.11
1.12
1.13
1.14
0.41
0.45
0.49
0.53
0.57
1.60
1.61
1.62
1.63
1.64
2.04
2.07
2.10
2.12
2.15
2.10
2.11
2.12
2.13
2.14
3.22
3.24
3.26
3.28
3.30
2.60
2.61
2.62
2.63
2.64
4.15
4.17
4.18
4.20
4.22
3.10
3.11
3.12
3.13
3.14
4.91
4.93
4.94
4.96
4.97
3.60
3.61
3.62
3.63
3.64
5.56
5.58
5.59
5.60
5.61
1.15
1.16
1.17
1.18
1.19
0.61
0.64
0.68
0.72
0.76
1.65
1.66
1.67
1.68
1.69
2.18
2.20
2.23
2.25
2.28
2.15
2.16
2.17
2.18
2.19
3.32
3.34
3.36
3.38
3.40
2.65
2.66
2.67
2.68
2.69
4.23
4.25
4.27
4.28
4.30
3.15
3.16
3.17
3.18
3.19
4.98
5.00
5.01
5.02
5.04
3.65
3.66
3.67
3.68
3.69
5.62
5.64
5.65
5.66
5.67
1.20
1.21
1.22
1.23
1.24
0.79
0.83
0.86
0.90
0.93
1.70
1.71
1.72
1.73
1.74
2.30
2.33
2.36
2.38
2.40
2.20
2.21
2.22
2.23
2.24
3.42
3.44
3.46
3.48
3.50
2.70
2.71
2.72
2.73
2.74
4.31
4.33
4.35
4.36
4.38
3.20
3.21
3.22
3.23
3.24
5.05
5.07
5.08
5.09
5.11
3.70
3.71
3.72
3.73
3.74
5.68
5.69
5.71
5.72
5.73
1.25
1.26
1.27
1.28
1.29
0.97
1.00
1.04
1.07
1.11
1.75
1.76
1.77
1.78
1.79
2.43
2.46
2.48
2.50
2.53
2.25
2.26
2.27
2.28
2.29
3.52
3.54
3.56
3.58
3.60
2.75
2.76
2.77
2.78
2.79
4.39
4.41
4.42
4.44
4.46
3.25
3.26
3.27
3.28
3.29
5.12
5.13
5.14
5.16
5.17
3.75
3.76
3.77
3.78
3.79
5.74
5.75
5.76
5.77
5.79
1.30
1.31
1.32
1.33
1.34
1.14
1.17
1.21
1.24
1.27
1.80
1.81
1.82
1.83
1.84
2.55
2.58
2.60
2.62
2.65
2.30
2.31
2.32
2.33
2.34
3.62
3.64
3.66
3.67
3.69
2.80
2.81
2.82
2.83
2.84
4.47
4.49
4.50
4.52
4.53
3.30
3.31
3.32
3.33
3.34
5.18
5.20
5.21
5.22
5.24
3.80
3.81
3.82
3.83
3.84
5.80
5.81
5.82
5.83
5.84
1.35
1.36
1.37
1.38
1.39
1.30
1.34
1.37
1.40
1.43
1.85
1.86
1.87
1.88
1.89
2.67
2.70
2.72
2.74
2.76
2.35
2.36
2.37
2.38
2.39
3.71
3.73
3.75
3.77
3.78
2.85
2.86
2.87
2.88
2.89
4.55
4.56
4.58
4.59
4.61
3.35
3.36
3.37
3.38
3.39
5.25
5.26
5.28
5.29
5.30
3.85
3.86
3.87
3.88
3.89
5.85
5.87
5.88
5.89
5.90
1.40
1.41
1.42
1.43
1.44
1.46
1.49
1.52
1.55
1.58
1.90
1.91
1.92
1.93
1.94
2.79
2.81
2.83
2.86
2.88
2.40
2.40
2.42
2.43
2.44
3.80
3.82
3.84
3.86
3.87
2.90
2.91
2.92
2.93
2.94
4.62
4.64
4.65
4.67
4.68
3.40
3.41
3.42
3.43
3.44
5.32
5.33
5.34
5.35
5.37
3.90
3.91
3.92
3.93
3.94
5.91
5.92
5.93
5.94
5.96
1.45
1.46
1.47
1.48
1.49
1.61
1.64
1.67
1.70
1.73
1.95
1.96
1.97
1.98
1.99
2.90
2.92
2.94
2.97
2.99
2.45
2.46
2.47
2.48
2.49
3.89
3.91
3.93
3.94
3.96
2.95
2.96
2.97
2.98
2.99
4.70
4.71
4.73
4.74
4.76
3.45
3.46
3.47
3.48
3.49
5.38
5.39
5.40
5.42
5.43
3.95
3.96
3.97
3.98
3.99
5.97
5.98
5.99
6.00
6.01
A-28 / 부록-부표
dB = 10logη
데시벨(dB)표 (2)
η dB η dB η dB η dB η dB η dB
4.00
4.01
4.02
4.03
4.04
6.02
6.03
5.04
6.05
6.06
4.50
4.51
4.52
4.53
4.54
6.53
6.54
6.55
6.56
6.57
5.00
5.01
5.02
5.03
5.04
6.99
7.00
7.01
7.02
7.02
5.50
5.51
5.52
5.53
5.54
7.40
7.41
7.42
7.43
7.44
6.00
6.01
6.02
6.03
6.04
7.78
7.79
7.80
7.80
7.81
6.50
6.51
6.52
6.53
6.54
8.13
8.14
8.14
8.15
8.16
4.05
4.06
4.07
4.08
4.09
6.07
6.09
6.10
6.11
6.12
4.55
4.56
4.67
4.58
4.59
6.58
6.59
6.60
6.61
6.62
5.05
5.06
5.07
5.08
5.09
7.03
7.04
7.05
7.06
7.07
5.55
5.56
5.57
5.58
5.59
7.44
7.45
7.46
7.47
7.47
6.05
6.06
6.07
6.08
6.09
7.82
7.83
7.83
7.84
7.85
6.55
6.56
6.57
6.58
6.59
8.16
8.17
8.18
8.18
8.19
4.10
4.11
4.12
4.13
4.14
6.13
6.14
6.15
6.16
6.17
4.60
4.61
4.62
4.63
4.64
6.63
6.64
6.65
6.66
6.67
5.10
5.11
5.12
5.13
5.14
7.08
7.08
7.09
7.10
7.11
5.60
5.61
5.62
5.63
5.64
7.48
7.49
7.50
7.50
7.51
6.10
6.11
6.12
6.13
6.14
7.85
7.86
7.87
7.87
7.88
6.60
6.61
6.62
6.63
6.64
8.19
8.20
8.21
8.21
8.22
4.15
4.16
4.17
4.18
4.19
6.18
6.19
6.20
6.21
6.22
4.65
4.66
4.67
4.68
4.69
6.68
6.68
6.69
6.70
6.71
5.15
5.16
5.17
5.18
5.19
7.12
7.12
7.13
7.14
7.15
5.65
5.66
5.67
5.68
5.69
7.52
7.53
7.54
7.54
7.55
6.15
6.16
6.17
6.18
6.19
7.89
7.90
7.90
7.91
7.92
6.65
6.66
6.67
6.68
6.69
8.23
8.23
8.24
8.25
8.25
4.20
4.21
2.2
4.23
4.24
6.23
6.24
6.25
6.26
6.27
4.70
4.71
4.72
4.73
4.74
6.72
6.73
6.74
6.75
6.76
5.20
5.21
5.22
5.23
5.24
7.16
7.17
7.18
7.18
7.19
5.70
5.71
5.72
5.73
5.74
7.56
7.57
7.57
7.58
7.59
6.20
6.21
6.22
6.23
6.24
7.92
7.93
7.94
7.94
7.95
6.70
6.71
6.72
6.73
6.74
8.26
8.27
8.27
8.28
8.29
4.25
4.26
4.27
4.28
4.29
6.28
6.29
6.30
6.31
6.32
4.75
4.76
4.77
4.78
4.79
6.77
6.78
6.78
6.79
6.80
5.25
5.26
5.27
5.28
5.29
7.20
7.21
7.22
7.23
7.23
5.75
5.76
5.77
5.78
5.79
7.60
7.60
7.61
7.62
7.63
6.25
6.26
6.27
6.28
6.29
7.96
7.97
7.97
7.98
7.99
6.75
6.76
6.77
6.78
6.79
8.29
8.30
8.31
8.31
8.32
4.30
4.31
4.32
4.33
4.34
6.33
6.34
6.35
6.36
6.37
4.80
4.81
4.82
4.83
4.84
6.81
6.82
6.83
6.84
6.85
5.30
5.31
5.32
5.33
5.34
7.24
7.25
7.26
7.27
7.28
5.80
5.81
5.82
5.83
5.84
7.63
7.64
7.65
7.66
7.66
6.30
6.31
6.32
6.33
6.34
7.99
8.00
8.01
8.01
8.02
6.80
6.81
6.82
6.83
6.84
8.32
8.33
8.34
8.34
8.35
4.35
4.36
4.37
4.38
4.39
6.38
6.39
6.40
6.41
6.42
4.85
4.86
4.87
4.88
4.89
6.86
6.87
6.88
6.88
6.89
5.35
5.36
5.37
5.38
5.39
7.28
7.29
7.30
7.31
7.32
5.85
5.86
5.87
5.88
5.89
7.67
7.68
7.69
7.69
7.70
6.35
6.36
6.37
6.38
6.39
8.03
8.04
8.04
8.05
8.06
6.85
6.86
6.87
6.88
6.89
8.36
8.36
8.37
8.37
8.38
4.40
4.41
4.42
4.43
4.44
6.43
6.44
6.45
6.46
6.47
4.90
4.91
4.92
4.93
4.94
6.90
6.91
6.92
6.93
6.94
5.40
5.40
5.42
5.43
5.44
7.32
7.33
7.34
7.35
7.36
5.90
5.91
5.92
5.93
5.94
7.71
7.72
7.72
7.73
7.74
6.40
6.41
6.42
6.43
6.44
8.06
8.07
8.08
8.08
9.09
6.90
6.91
6.92
6.93
6.94
8.39
8.39
8.40
8.41
8.41
4.45
4.46
4.47
4.48
4.49
6.48
6.49
6.50
6.51
6.52
4.95
4.96
4.97
4.98
4.99
6.95
6.95
6.96
6.97
6.98
5.45
5.46
5.47
5.48
5.49
7.36
7.37
7.38
7.39
7.40
5.95
5.96
5.97
598
5.99
7.75
7.75
7.76
7.77
7.77
6.45
6.46
6.47
6.48
6.49
8.10
8.10
8.11
8.12
8.12
6.95
6.96
6.97
6.98
6.99
8.42
8.43
8.43
8.44
8.44
실험계획 분포표 (다구찌 품질공학) / A-29
dB = 10logη
데시벨(dB)표 (3)
η dB η dB η dB η dB η dB η dB
7.00
7.01
7.02
7.03
7.04
8.45
8.46
8.46
8.47
8.48
7.50
7.51
7.52
7.53
7.54
8.75
8.76
8.76
8.77
8.77
8.00
8.01
8.02
8.03
8.04
9.03
9.04
9.04
9.05
9.05
8.50
8.51
8.52
8.53
8.54
9.29
9.30
9.30
9.31
9.31
9.00
9.01
9.02
9.03
9.04
9.54
9.55
9.55
9.56
9.56
9.50
9.51
9.52
9.53
9.54
9.78
9.79
9.79
9.80
9.80
7.05
7.06
7.07
7.08
7.09
8.48
8.49
8.49
8.50
8.51
7.55
7.56
7.67
7.58
7.59
8.78
8.79
8.79
8.80
8.80
8.05
8.06
8.07
8.08
8.09
9.06
9.06
9.07
9.07
9.08
8.55
8.56
8.57
8.58
8.59
9.32
9.32
9.33
9.33
9.34
9.05
9.06
9.07
9.08
9.09
9.57
9.57
9.58
9.58
9.59
9.55
9.56
9.57
9.58
9.59
9.80
9.81
9.81
9.82
9.82
7.10
7.11
7.12
7.13
7.14
8.51
8.52
8.53
8.53
8.54
7.60
7.61
7.62
7.63
7.64
8.81
8.81
8.82
8.83
8.83
8.10
8.11
8.12
8.13
8.14
9.08
9.09
9.10
9.10
9.11
8.60
8.61
8.62
8.63
8.64
9.34
9.35
9.35
9.36
9.36
9.10
9.11
9.12
9.13
9.14
9.59
9.60
9.60
9.61
9.61
9.60
9.61
9.62
9.63
9.64
9.82
9.83
9.83
9.84
9.84
7.15
7.16
7.17
7.18
7.19
8.54
8.55
8.56
8.56
8.57
7.65
7.66
7.67
7.68
7.69
8.84
8.84
8.85
8.85
8.86
8.15
8.16
8.17
8.18
8.19
9.11
9.12
9.12
9.13
9.13
8.65
8.66
8.67
8.68
8.69
9.37
9.37
9.38
9.38
9.39
9.15
9.16
9.17
9.18
9.19
9.61
9.62
9.62
9.63
9.63
9.65
9.66
9.67
9.68
9.69
9.84
9.85
9.85
9.86
9.86
7.20
7.21
7.22
7.23
7.24
8.57
8.58
8.59
8.59
8.60
7.70
7.71
7.72
7.73
7.74
8.86
8.87
8.88
8.88
8.89
8.20
8.21
8.22
8.23
8.24
9.14
9.14
9.15
9.15
9.16
8.70
8.71
8.72
8.73
8.74
9.39
9.40
9.40
9.41
9.41
9.20
9.21
9.22
9.23
9.24
9.64
9.64
9.65
9.65
9.66
9.70
9.71
9.72
9.73
9.74
9.87
9.87
9.88
9.88
9.89
7.25
7.26
7.27
7.28
7.29
8.60
8.61
8.62
8.62
8.63
7.75
7.76
7.77
7.78
7.79
8.89
8.90
8.90
8.91
8.92
8.25
8.26
8.27
8.28
8.29
9.16
9.17
9.18
9.18
9.19
8.75
8.76
8.77
8.78
8.79
9.42
9.42
9.43
9.43
9.44
9.25
9.26
9.27
9.28
9.29
9.66
9.67
9.67
9.68
9.68
9.75
9.76
9.77
9.78
9.79
9.89
9.89
9.90
9.90
9.91
7.30
7.31
7.32
7.33
7.34
8.63
8.64
8.64
8.65
8.66
7.80
7.81
7.82
7.83
7.84
8.92
8.93
8.93
8.94
8.94
8.30
8.31
8.32
8.33
8.34
9.19
9.20
9.20
9.21
9.21
8.80
8.81
8.82
8.83
8.84
9.44
9.45
9.45
9.46
9.46
9.30
9.31
9.32
9.33
9.34
9.68
9.69
9.69
9.70
9.70
9.80
9.81
9.82
9.83
9.84
9.91
9.92
9.92
9.93
9.93
7.35
7.36
7.37
7.38
7.39
8.66
8.67
8.68
8.68
8.69
7.85
7.86
7.87
7.88
7.89
8.95
8.95
8.96
8.97
8.97
8.35
8.36
8.37
8.38
8.39
9.22
9.22
9.23
9.23
9.24
8.85
8.86
8.87
8.88
8.89
9.47
9.47
9.48
9.48
9.49
9.35
9.36
9.37
9.38
9.39
9.71
9.71
9.72
9.72
9.72
9.85
9.86
9.87
9.88
9.89
9.93
9.94
9.94
9.95
9.95
7.40
7.41
7.42
7.43
7.44
8.69
8.70
8.70
8.71
8.72
7.90
7.91
7.92
7.93
7.94
8.98
8.98
8.99
8.99
9.00
8.40
8.40
8.42
8.43
8.44
9.24
9.25
9.25
9.26
9.26
8.90
8.91
8.92
8.93
8.94
9.49
9.50
9.50
9.51
9.51
9.40
9.41
9.42
9.43
9.44
9.73
9.74
9.74
9.74
9.75
9.90
9.91
9.92
9.93
9.94
9.96
9.96
9.96
9.97
9.97
7.45
7.46
7.47
7.48
7.49
8.72
8.73
8.73
8.74
8.74
7.95
7.96
7.97
7.98
7.99
9.00
9.01
9.01
9.02
9.02
8.45
8.46
8.47
8.48
8.49
9.27
9.27
9.28
9.28
9.29
8.95
8.96
8.97
8.98
8.99
9.52
9.52
9.53
9.53
9.54
9.45
9.46
9.47
9.48
9.49
9.75
9.76
9.76
9.77
9.77
9.95
9.96
9.97
9.98
9.99
10.00
9.98
9.98
9.99
9.99
9.99
10.00
A-30 / 부록-부표
dB = 10logη
<부표 26> 자연대수표
x − log e x x − log e x x − log e x x − log e x x − log e x
0.01
0.02
0.03
0.04
0.05
4.60517
3.91202
3.50656
3.21888
2.99573
0.51
0.52
0.53
0.54
0.55
0.67334
0.65393
0.63488
0.61619
0.59784
1.01
1.02
1.03
1.04
1.05
0.00995
0.01980
0.02956
0.03922
0.04879
1.51
1.52
1.53
1.54
1.55
0.41211
0.41871
0.42527
0.43178
0.43825
2.01
2.02
2.03
2.04
2.05
0.69813
0.70310
0.70804
0.71295
0.71784
0.06
0.07
0.08
0.09
0.10
2.81341
2.65926
2.52573
2.40795
2.30529
0.56
0.57
0.58
0.59
0.60
0.57982
0.56212
0.54473
0.52763
0.51083
1.06
1.07
1.08
1.09
1.10
0.05827
0.06766
0.07696
0.08618
0.09531
1.56
1.57
1.58
1.59
1.60
0.44469
0.45108
0.45742
0.46373
0.47000
2.06
2.07
2.08
2.09
2.10
0.72271
0.72755
0.73237
0.73716
0.74194
0.11
0.12
0.13
0.14
0.15
2.20727
2.12026
2.04022
1.96611
1.89712
0.61
0.62
0.63
0.64
0.65
0.49430
0.47804
0.46204
0.44629
0.43078
1.11
1.12
1.13
1.14
1.15
0.10436
0.11333
0.12222
0.13103
0.13976
1.61
1.62
1.63
1.64
1.65
0.47623
0.48243
0.48858
0.49470
0.50078
2.11
2.12
1.23
2.14
2.15
0.74669
0.75142
0.75612
0.76081
0.76547
0.16
0.17
0.18
0.19
0.20
1.83258
1.77196
1.71480
1.66073
1.60944
0.66
0.67
0.68
0.69
0.70
0.41552
0.40048
0.38566
0.37106
0.35667
1.16
1.17
1.18
1.19
1.20
0.14842
0.15700
0.16551
0.17395
0.18232
1.66
1.67
1.68
1.69
1.70
0.50682
0.51282
0.51879
0.52473
0.53063
2.16
2.17
2.18
2.19
2.20
0.77011
0.77473
0.77932
0.78390
0.78846
0.21
0.22
0.23
0.24
0.25
1.56065
1.51413
1.46968
1.42712
1.38629
0.71
0.72
0.73
0.74
0.75
0.34249
0.32850
0.31471
0.30111
0.28768
1.21
1.22
1.23
1.24
1.25
0.19062
0.19885
0.20701
0.21511
0.22314
1.71
1.72
1.73
1.74
1.75
0.53649
0.54232
0.54812
0.55389
0.55962
2.21
2.22
2.23
2.24
2.25
0.79299
0.79751
0.80200
0.80647
0.81093
0.26
0.27
0.28
0.29
0.30
1.34707
1.30933
1.27297
1.23787
1.20393
0.76
0.77
0.78
0.79
0.80
0.27444
0.26136
0.24846
0.23572
0.22314
1.26
1.27
1.28
1.29
1.30
0.23111
0.23902
0.24686
0.25464
0.26236
1.76
1.77
1.78
1.79
1.80
0.56531
0.57098
0.57661
0.58222
0.58779
2.26
2.27
2.28
2.29
2.30
0.81536
0.81978
0.82418
0.82855
0.83291
0.31
0.32
0.33
0.34
0.35
1.17118
1.13943
1.10866
1.07881
1.04982
0.81
0.82
0.83
0.84
0.85
0.21072
0.19845
0.18633
017435
0.16252
1.31
1.32
1.33
1.34
1.35
0.27003
0.27763
0.28518
0.29267
0.30010
1.81
1.82
1.83
1.84
1.85
0.59333
0.59884
0.60432
0.60977
0.61519
2.31
2.32
2.33
2.34
2.35
0.83725
0.84157
0.84587
0.85015
0.85442
0.36
0.37
0.38
0.39
0.40
1.02165
0.99425
0.96758
0.94161
0.91629
0.86
0.87
0.88
0.89
0.90
0.15082
0.13926
0.12783
0.11653
0.10536
1.36
1.37
1.38
1.39
1.40
0.30748
0.31481
0.32208
0.32930
0.33647
1.86
1.87
1.88
1.89
1.90
0.62058
0.62594
0.63127
0.63658
0.64185
2.36
2.37
2.38
2.39
2.40
0.85866
0.86289
0.86710
0.87129
0.87547
0.41
0.42
0.43
0.44
0.45
0.89160
0.86750
0.84397
0.82098
0.79851
0.91
0.92
0.93
0.94
0.95
0.09431
0.08338
0.07257
0.06188
0.05129
1.41
1.42
1.43
1.44
1.45
0.34359
0.35066
0.35767
0.36464
0.37156
1.91
1.92
1.93
1.94
1.95
0.64710
0.65233
0.65752
0.66269
0.66783
2.41
2.42
2.43
2.44
2.45
0.87963
0.88377
0.88789
0.89200
0.89609
0.46
0.47
0.48
0.49
0.50
0.77653
0.75502
0.73397
0.71335
0.69315
0.96
0.97
0.98
0.99
1.00
0.04082
0.03046
0.02020
0.01005
0.00000
1.46
1.47
1.48
1.49
1.50
0.37844
0.38526
0.39204
0.39878
0.40547
1.96
1.97
1.98
1.99
2.00
0.67294
0.67803
0.68310
0.68813
0.69315
2.46
2.47
2.48
2.49
2.50
0.90016
0.90422
0.90826
0.91228
0.91629
실험계획 분포표 (다구찌 품질공학) / A-31