Appendix 7ZMes 755
эепаіх TABLE А-1 Areas under the Normal Curve
0 Z
Ües 2
.00
.00
.0000
.01
.0040
.02
.0080
.03
.0120
.04
.0160
.05
.0199
.06
.0239
.07
.0279
.08
.0319
.09
.0359
.10 2398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753
.20 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 1141
.30 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 ;1480 .1517
.40 .1554 .1591 .1628 .i664 .1700 .1736 .1772 .1808 .1844 .1879
.50 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 2224
.60 .2257 .2291 .2324 .2357 .2389 2422 .2454 .2486 .2517 .2549
.70 .2580 .2611 .2642 .2673 .2703 .2734 .2764 .2793 .2823 .2852
.80 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133
.90 .3159 .3186 .3212 .3238 .3264 .3289 .3315 .3340 .3335 .3389
1.00 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621
1.10 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830
1.20 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .4015
1.30 .4032 .4049 .4066 .4082 .4099 .4115 .4131 .4147 4162 .4177
1.40 .4192 .4207 ׳.4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319
1.50 4332 .4345 .4357 .4370 .4382 4204 .4406 .4418 .4429 .4441
1.60 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .4545
1.70 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633
1.80 .4641 .4649 .4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706
1.90 .4713 .4719 .4726 .4732 .4738 .4744 .4750 4706 .4761 .4767
2.00 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4812 .4817
2.10 .4821 .4826 .4830 .4834 .4838 4842 .4846 .4850 .4854 .4857
2.20 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .4890
2.30 .4893 .4896 .4898 .4901 .4904 .4906 .4909 .4911 .4913 .4916
2.40 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 .4934 .4936
2.50 .4938 .4940 .4941 .4943 .4945 .4946 .4948 .4949 .4951 .4952
2.60 .4953 .4955 .4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964
2.70 .4965 .4966 .4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974
2.80 .4974 .4975 .4976 .4977 .4977 .4978 .4979 .4979 .4980 .4981
2.90 .4981 .4982 .4982 .4983 .4984 .4984 .4985 .4985 .4986 .4986
3.00 .4987 .4987 .4987 .4988 .4988 .4989 .4989 .4989 .4990 .4990
3.10 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 .4993 .4993
3.20 .4993 .4993 .4994 .4994 .4994 .4994 .4994 .4995 .4995 .4995
3.30 .4995 .4995 .4995 .4996 .4996 .4996 .4996 .4996 .4996 .4997
3.40 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4998
3.50 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998
3.60 .4998 .4998 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999
3.70 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999
3.80 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999
Thevalues in the body of the table are the areas betweenthemean and the value ofZ. Example: If we want to Knd the area under the standard normal curve between Z = 0
and Z = 1.96, we find the Z = 1.90 row and .06 column (forZ = 1.90 + .06 = 1.96) and read .4750 at the intersection Forconvenience, this informationalso appears in
TableA-4.
Source: P Billingsley, D. J. Croft, D. V Huntsberger, and C. J. Watson, Statistical Inserencefor Management and Economics (Boston: Allyn & Bacon, 1986)•
Reprinted with permission.
754
, 756 Appendix. Tzbíes Appendix Tables 757
TABLE А-2 CumulativeBinomialProbabilities TABLEA-2 (continued)
^^^^^^^^^^^I n≈20
P
where × 13 ٣hf١ n∪ITihel 3 안皿" ո Ո ”"< .01 .05 .10 .20 3Q ап .50 .60 .70 .80 ап .95 .99
^^^^^^^^။^^^^^^^^؛I
0 0.8179 ^^^^แแ 0.0000 0.0000 0.0000 09000 0.0000 0.0000 0
0.0005 0.0000 0.0000 0.0000 0.0000 0.0000 เ
^^^^^^I
0.9S3Î ^^^เ^^^^^เ,
^^I
r .01 .05 .10 .20 .30 4η .50 .60 .70 .80 90 .95 99 2 0.9990 0.9245 0.6769 0.2061 0 00036 0.0002 0.0000 0.0000 0.0000 0.0000 ¿
^I
3 1.0000 ®แเแเ@； 0.0160 0.0013 0.0000 0.0000 0.0000 0,0000 3
0 ny5u| .7738 ل Ռ٩9Ո5 0 3277 3 1681 G∣J7∕8 ।٠Γ٦·٠. 0.(1102 0 0024 J1Q?3 3nwu ՈՍԸ0٠յ 0 0حل၊ د0 4 1Q000 ^BlIHBM 0.0510 0.0059 0.0003 0.0000 0.0000 09000 4
1 ؟لتح٠ذ।ن ი918٦ 4〃09 ن7ذ7أ 0 528ر C"23 0;875 01|8/0 ״ո3ո8 2.3067 0 0j0b CQU5; ԸՕՕնՕ ; 5 19000 g9g7 CO8E/ ا၊؛ی٠٠ل.ر Û 0.1256 0.0207 0.0016 0.0000 0.0000 80000 5
2 ^^^^י^^^^^יי^^י^יי^י။။^^י။1 2 6 1.0000 แ^^^แ^เ 0.2500 0.0577 0.0065 0.0003 0.0000 0.0000 6
ใ
3 ∙gQ) ٠ ١٠لיเלი г^99Ь 29933 0Э6Э2 0^30 08İH 0E632 34718 2ةغر׳/ 。ロボ与 1"D76 0 00Ủ 3 ใ 1.0000 1.0000 0.9996 0.9679 0 0.4159 0.1316 0.0210 0.0013 0.0000 S0000
4 1.0000 ٠ ：ססגי IWGJ ハ.9997 00976 09892 0.%88 C9222 0.83:9 0 6723 Ю。5 Û22&2 UQ49', 4 8 1.0000 ။แ။เ 0.5956 0.2517 0.0565 0.0051 0.0001 0.0000 8
9 1.0000 1.0000IIII^I 87553 0.4119 0.1275 0.0171 0Q006 0.0000 9
n=10 10 1.0000 는、冷」 ·丁川ノ □0 بزئ٦ 0.8725 0.2447 0.0480 0.0026 0.0000 0.0000 10
11 L0000 1.0000 1.0000 0.9999 0 0.9435 ?ل7ة： 0.4044 0.1133 0.0100 0.0001 0.0000 11
.60 .70 .80 .90 .95 99
12 1.0000 เแแ^เรเ 0.9790 0.8684 0.5841 022TI 0.Q321 0.0004 0.0000 12
.01 .05 .10 .20 .30 .40
13 1.0000 IIIIiIII 0.9935 69423 0.7500 0.3920 0.0867 0.0024 0.0000 13
0 (؛٩:٠ч4 35987 ين٠ر»ذ コエ/4 Uu282 u.906∣' 35(10 0ن00ا 0υυυυ م١1၊٩0) იიიიר ÙOÙOO 00209 5 14 1.0000 เ^แเ။ D.9984 0.9793 0.8744 0.5836 0.1958 0.0113 0.0000 Y
เ [1qq3∕ ၁ 4ท9 0736: 0 3758 0 2464 0 ا49و ?niu7 0 051/ C0001 3よ).し nN2n ٥0٥โเว ÛOOÛP 15 1.0000 ^เ^^แแ 0.9997 ^ع 0.9490 0.7625 :;『: 0Q432 0,0026 0.0000 15
2 ؛١ฯ»٩1ไ ∙)9B85 119798 067/8 。3828 0 1673 0 2347 30123 00016 ：إ.)نن၊ا nc1e:, כסכסג OÜÜOÜ
21;： 16 1.0000 แเ^แ^แ 1.0000 口:ど 0.8929 0.1330 09159 0.0000 16
3
4
10U: 1993:: U98〃
∙003i J9AQ9 09934
0879•
U9672
0&196
0849/
9 3823
0 6331
3 1719
0 3/70
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16 تW
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17 1.0000
18 1.0000
19 1.0000
HWI^Hj
IIIIII
။แแ
1.0000
1.0000
1.0000
版
1.0000
09995
1.0000
^I
09645 0.7939 0.3231
0.9308 0.6083
0.9885 0.8784
0.0755
0.2642
0.6415
0.0010
0.0169
0.1821
17
18
19
5 Igg 1 (။١υ:9999「 ا U9936 09377 68338 0 62٩o 0 3669 0016 0 12328 ن٠50ل ըიიი1 0 0d00 5
6 IIII ן00Ü0 U9991 09894 09457 98?81 0617/ O.351U Ul7n3 مث׳٠2م ס־ססס 0٠0Ūū 6 л：；25
7 IDJDJ 1U33T ฯ onoû 0 99Գ9 0 9964 3 9877 D9453 。8327 G6:72 D3222 2نت/ل U:'115 UÍJCT 7
8 1 เวกวด ฯ იი٥ი ٠ 00□□ 10033 09999 0 99Ri 0 98Q3 0gb3e ごゼ5コ7 06242 D26wq 0 0S61 00043 8 P
9 1(ku3 1 ၁ဿ 10333 1 U।JC٥ ٦ ԶԸ00 09999 0¤J9Ü 。9940 Ü9718 0 89∠6 06513 ;)4013 0つりヒ5 9 .01 .05 .10 .20 .30 .40 .70 .80 90 .95 .99
^
^ا
^^^^^^^^^^^^^^^^^^İ
0.7778 เ^^เ 0.0038 ။^แ^เ© ؛0.0000 0.0000
^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ I^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ l
0.0000
O
^
η:15
^^^^I
^
0.9742 C1 ∙ 0Q274 ^^เ^^แ 0.0000 09000 0.0000
^
P 0.9980 0.8729 0.5371 。.0982 ।။।।।® 0.0000 0.0000 0.0000
^
^I
s^^^H
^
0.2340 เแเ OQOOO
.01 .05 .10 .20 30 .4С .50 .60 .70 .80 .90 .95 .99 Г
^1 م0كدم ụ ^ЇЛ Ü.íiuij،
^
เ^^เ 0.4207 0Q905 0Q095 0805 0.0000 0.0000 0Q000
^
^
J¥6i ،١د6 ألΓ.2ub9 د.نG.0J47 0.0005 00000 。Այ u::iso nj)0C フ：力今ロ 0ว0เ)ง ၁ဿ٠١ ?٩5
0 о 1.0000 06167 ^^แแเ iil।। 0.0D00
^
ו
rjjiji 0ي29 ئ:(ი0იი 52∪0 0 63353 1571， %01 ؟Q.sw 0800 0833 ٠ر0?ال। Jgoa ။υnj(j 1 1.0000 0 9998ユナ匸卢 0.7800 เ^แแ 0.0003 0.0000 0.0000
^
フ
^
; 0. ∙ ∙ 30 ٠1?٠я 0 00 71رС0Ј7 □0303 0 0□⊂0 B3g NJJOJ :131F2 ن٥၁၁၁ 1.0000 I^^MI 0.8909 ∣an^^∣ ®เ^เแ 0.0000
^
S
١ ־٥ЈО٦ ن9ب،j t:&:*2 อ2٩69 ว๐9ว5 0 0:/6 nu019;*19 ٠5 0 0⊂01 ٠∣□ىاهلŪOCOU 3 3Q3j Jθ□C 0 3 (.။3 منk:NJ 0.0000
^
1Q000 ММШі 0.9532 0.6769 0.2735 0Q539
יי^^י
｝헤
^
4 J.U293 1)J∙127 【[か川 a:u:m じりリ如 Γ :j)Jf1 ? û٥q٦ 110592 17173: 0.5:55 8353 0 09873∕00∞ 4 1.0000 1.0000 0.9999 0.9827 ״ю； 0ذ، امn”w 0.0000
^
^
^ا
^
5 1 لنلحأ0ワサめ「9978 ٠١ 9 ل؟ي٠იი0ა C〃16 04C?2 0'5)9 “ロ门8 0 0:)V rs)g CCU36 0 0030 5 1.0000 เ^^แ เแ^^แ 0Q344 0.0018 0.0000
^
^
^แ^।^เ
^
6 1٠川：ハ IDSW fjg9Q7 ن٩я٠9 0o6b9 05038 9 3026 U;'95C 00'52 ن0٠ ينزUUkP ∪0∞0 QI'IW) 6 1.0000 ။। แแเ 0.0000
^
^
।แ®ต।
^
7 1—飞门 10000 ・，心矶，"9958 jq5C0 0∕⅛b9 ^.500C 1ئ١1 ذՈ”6Ո 0 0042 フ汇亡ロ OAOU 0 0∞υ 7 I^IiI 0.0000
^
1.0000 1Q000 1.0000
^
^
8 1U3Y; !003.; ;u1Qj 39Q92 U944X ؛9ر5 م：，3ヨ9力2 6964 ن.فأ٦1 001h* CW∣3 1)1:QJ ٥วว١ว 8 1.0000 แแ เ^^^^^เ
^I แแ 0.0000
^
^
י။၊י
^
9 حن י١: ا دل:م؛..∙ الئ08A91،Jgn 3 9999 U9953 ი.9٢ ；6 0 5968 ：2784 ل؛ن6ا، OJJOG ロこご" û٥ij0٠ 9 CS14∕ 0jqjB 0 005».
^
1Q000 0.9982 0.9656 0.7878 0.0000
^
^
10
^
10 1Qg] 1JOrø 13U) 10SQ 0 999 0 9907 0 قتRb S7827 ?4845 Jİ642 9U'27 门つシ応 ٠00Cù Ub%4 0:801 ٠73ىن 0.0000
^
1.0000 1.0000 1.0000 1.0000
Мй^٠ма။।〇^^^^жя।ш।^။।^т။и ；ワ父:り;:p57 ი^ף٦
^
^
11 11 1Q000 เแเ 1.0000 B/2ub ף3?٥ ו။□٦ს8 0 0000
^
^
フ 4K.∪ ■g:2 10320 1O11J ฯ. 1 ٩٠ ندC.9997 C9963 Û9729 08732 U6w1 0184• ?2362 1)(2G4
^
12 1QD00 IIII 1.0000 1.0000 0.9988 0.9784
^
U840; Q，：R” C1N 0.0000
Ч
^
^
13 :e*u 1；)：)g 1.C00;1 ١ 00။ი L38 1Q80 0.9995 0 9948 0.9647 门*ザ0 0 45 2 C.17!0 0 086 13 1Q000 แแ 1Q000 1.0000 0.9997 0.9927 0.1264 0ئ5 ننأПק2ċ> Q.0002
^
^
^
^
14 1.0000 1.0000 L0D00 1.0000 1.0000 1Q000 1.0000 0.9995 0.9953 0.9648 0.7941 0.5367 0.1399 14 1.0000 แ^แ 1.0000 L0000 0.9999 D.9980 。9706 0.8065 0.3833 0.0012
^
^
^
0.0072
^
1.0000 1.0000 1Q000 「0000 L0000 1.0000 0.9995 SKiH^KH
^
^
1.0000 ।။ 1.0000 1.0000 1.000。 0.9999 ©เ။1แเ 0.0341
^
^
^
0.1271
^
1Q000 1.0000 1.0000 L0000 1.0000 L0000 1.0000 ®แ^แแ
^
^
1.0000 1.0000 1.0000 1.0000 ?CUJC ：.5人用1り。じ0 O.3576
1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 L0000
■־.■־၊՜။ฯ ニメボ旧；竹； 0.7226
V
S0urce;P.Bi।lingsley,D.J.Cr0ft,D.VHuntsberger٠।dC,J.Wats0n,Si٠rfĵric٠/٠ence^rMige׳neni andEconomicsịSoston·. Allyn&Bacon,|986).
Reprintedwithpermission.
эепаіх TABLE А-1 Areas under the Normal Curve
0 Z
Ües 2
.00
.00
.0000
.01
.0040
.02
.0080
.03
.0120
.04
.0160
.05
.0199
.06
.0239
.07
.0279
.08
.0319
.09
.0359
.10 2398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753
.20 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 1141
.30 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 ;1480 .1517
.40 .1554 .1591 .1628 .i664 .1700 .1736 .1772 .1808 .1844 .1879
.50 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 2224
.60 .2257 .2291 .2324 .2357 .2389 2422 .2454 .2486 .2517 .2549
.70 .2580 .2611 .2642 .2673 .2703 .2734 .2764 .2793 .2823 .2852
.80 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133
.90 .3159 .3186 .3212 .3238 .3264 .3289 .3315 .3340 .3335 .3389
1.00 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621
1.10 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830
1.20 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .4015
1.30 .4032 .4049 .4066 .4082 .4099 .4115 .4131 .4147 4162 .4177
1.40 .4192 .4207 ׳.4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319
1.50 4332 .4345 .4357 .4370 .4382 4204 .4406 .4418 .4429 .4441
1.60 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .4545
1.70 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633
1.80 .4641 .4649 .4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706
1.90 .4713 .4719 .4726 .4732 .4738 .4744 .4750 4706 .4761 .4767
2.00 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4812 .4817
2.10 .4821 .4826 .4830 .4834 .4838 4842 .4846 .4850 .4854 .4857
2.20 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .4890
2.30 .4893 .4896 .4898 .4901 .4904 .4906 .4909 .4911 .4913 .4916
2.40 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 .4934 .4936
2.50 .4938 .4940 .4941 .4943 .4945 .4946 .4948 .4949 .4951 .4952
2.60 .4953 .4955 .4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964
2.70 .4965 .4966 .4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974
2.80 .4974 .4975 .4976 .4977 .4977 .4978 .4979 .4979 .4980 .4981
2.90 .4981 .4982 .4982 .4983 .4984 .4984 .4985 .4985 .4986 .4986
3.00 .4987 .4987 .4987 .4988 .4988 .4989 .4989 .4989 .4990 .4990
3.10 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 .4993 .4993
3.20 .4993 .4993 .4994 .4994 .4994 .4994 .4994 .4995 .4995 .4995
3.30 .4995 .4995 .4995 .4996 .4996 .4996 .4996 .4996 .4996 .4997
3.40 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4998
3.50 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998
3.60 .4998 .4998 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999
3.70 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999
3.80 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999
Thevalues in the body of the table are the areas betweenthemean and the value ofZ. Example: If we want to Knd the area under the standard normal curve between Z = 0
and Z = 1.96, we find the Z = 1.90 row and .06 column (forZ = 1.90 + .06 = 1.96) and read .4750 at the intersection Forconvenience, this informationalso appears in
TableA-4.
Source: P Billingsley, D. J. Croft, D. V Huntsberger, and C. J. Watson, Statistical Inserencefor Management and Economics (Boston: Allyn & Bacon, 1986)•
Reprinted with permission.
754
, 756 Appendix. Tzbíes Appendix Tables 757
TABLE А-2 CumulativeBinomialProbabilities TABLEA-2 (continued)
^^^^^^^^^^^I n≈20
P
where × 13 ٣hf١ n∪ITihel 3 안皿" ո Ո ”"< .01 .05 .10 .20 3Q ап .50 .60 .70 .80 ап .95 .99
^^^^^^^^။^^^^^^^^؛I
0 0.8179 ^^^^แแ 0.0000 0.0000 0.0000 09000 0.0000 0.0000 0
0.0005 0.0000 0.0000 0.0000 0.0000 0.0000 เ
^^^^^^I
0.9S3Î ^^^เ^^^^^เ,
^^I
r .01 .05 .10 .20 .30 4η .50 .60 .70 .80 90 .95 99 2 0.9990 0.9245 0.6769 0.2061 0 00036 0.0002 0.0000 0.0000 0.0000 0.0000 ¿
^I
3 1.0000 ®แเแเ@； 0.0160 0.0013 0.0000 0.0000 0.0000 0,0000 3
0 ny5u| .7738 ل Ռ٩9Ո5 0 3277 3 1681 G∣J7∕8 ।٠Γ٦·٠. 0.(1102 0 0024 J1Q?3 3nwu ՈՍԸ0٠յ 0 0حل၊ د0 4 1Q000 ^BlIHBM 0.0510 0.0059 0.0003 0.0000 0.0000 09000 4
1 ؟لتح٠ذ।ن ი918٦ 4〃09 ن7ذ7أ 0 528ر C"23 0;875 01|8/0 ״ո3ո8 2.3067 0 0j0b CQU5; ԸՕՕնՕ ; 5 19000 g9g7 CO8E/ ا၊؛ی٠٠ل.ر Û 0.1256 0.0207 0.0016 0.0000 0.0000 80000 5
2 ^^^^י^^^^^יי^^י^יי^י။။^^י။1 2 6 1.0000 แ^^^แ^เ 0.2500 0.0577 0.0065 0.0003 0.0000 0.0000 6
ใ
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