Tabell over normalfordelingen
(standardisert til forventning 0
og standardavvik 1)
Tabellen gir sannsynligheten P(Y <
y) der Y er standard
normalfordelt
Eksempel: P(Y < 0.23) =
0.5910
For negative tall kan du bruke: P(Y < - y) = 1 ? P(Y < y)
|
y |
0.00 |
0.01 |
0.02 |
0.03 |
0.04 |
0.05 |
0.06 |
0.07 |
0.08 |
0.09 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0.0 |
.5000 |
.5040 |
.5080 |
.5120 |
.5160 |
.5199 |
.5239 |
.5279 |
.5319 |
.5359 |
|
0.1 |
.5398 |
.5438 |
.5478 |
.5517 |
.5557 |
.5596 |
.5636 |
.5675 |
.5714 |
.5753 |
|
0.2 |
.5793 |
.5832 |
.5871 |
.5910 |
.5948 |
.5987 |
.6026 |
.6064 |
.6103 |
.6141 |
|
0.3 |
.6179 |
.6217 |
.6255 |
.6293 |
.6331 |
.6368 |
.6406 |
.6443 |
.6480 |
.6517 |
|
0.4 |
.6554 |
.6591 |
.6628 |
.6664 |
.6700 |
.6736 |
.6772 |
.6808 |
.6844 |
.6879 |
|
0.5 |
.6915 |
.6950 |
.6985 |
.7019 |
.7054 |
.7088 |
.7123 |
.7157 |
.7190 |
.7224 |
|
0.6 |
.7257 |
.7291 |
.7324 |
.7357 |
.7389 |
.7422 |
.7454 |
.7486 |
.7517 |
.7549 |
|
0.7 |
.7580 |
.7611 |
.7642 |
.7673 |
.7703 |
.7734 |
.7764 |
.7794 |
.7823 |
.7852 |
|
0.8 |
.7881 |
.7910 |
.7939 |
.7967 |
.7995 |
.8023 |
.8051 |
.8078 |
.8106 |
.8133 |
|
0.9 |
.8159 |
.8186 |
.8212 |
.8238 |
.8264 |
.8289 |
.8315 |
.8340 |
.8365 |
.8389 |
|
|
|
|
|
|
|
|
|
|
|
|
|
1.0 |
.8413 |
.8438 |
.8461 |
.8485 |
.8508 |
.8531 |
.8554 |
.8577 |
.8599 |
.8621 |
|
1.1 |
.8643 |
.8665 |
.8686 |
.8708 |
.8729 |
.8749 |
.8770 |
.8790 |
.8810 |
.8830 |
|
1.2 |
.8849 |
.8869 |
.8888 |
.8907 |
.8925 |
.8944 |
.8962 |
.8980 |
.8997 |
.9015 |
|
1.3 |
.9032 |
.9049 |
.9066 |
.9082 |
.9099 |
.9115 |
.9131 |
.9147 |
.9162 |
.9177 |
|
1.4 |
.9192 |
.9207 |
.9222 |
.9236 |
.9251 |
.9265 |
.9279 |
.9292 |
.9306 |
.9319 |
|
1.5 |
.9332 |
.9345 |
.9357 |
.9370 |
.9382 |
.9394 |
.9406 |
.9418 |
.9429 |
.9441 |
|
1.6 |
.9452 |
.9463 |
.9474 |
.9484 |
.9495 |
.9505 |
.9515 |
.9525 |
.9535 |
.9545 |
|
1.7 |
.9554 |
.9564 |
.9573 |
.9582 |
.9591 |
.9599 |
.9608 |
.9616 |
.9625 |
.9633 |
|
1.8 |
.9641 |
.9649 |
.9656 |
.9664 |
.9671 |
.9678 |
.9686 |
.9693 |
.9699 |
.9706 |
|
1.9 |
.9713 |
.9719 |
.9726 |
.9732 |
.9738 |
.9744 |
.9750 |
.9756 |
.9761 |
.9767 |
|
|
|
|
|
|
|
|
|
|
|
|
|
2.0 |
.9772 |
.9778 |
.9783 |
.9788 |
.9793 |
.9798 |
.9803 |
.9808 |
.9812 |
.9817 |
|
2.1 |
.9821 |
.9826 |
.9830 |
.9834 |
.9838 |
.9842 |
.9846 |
.9850 |
.9854 |
.9857 |
|
2.2 |
.9861 |
.9864 |
.9868 |
.9871 |
.9875 |
.9878 |
.9881 |
.9884 |
.9887 |
.9890 |
|
2.3 |
.9893 |
.9896 |
.9898 |
.9901 |
.9904 |
.9906 |
.9909 |
.9911 |
.9913 |
.9916 |
|
2.4 |
.9918 |
.9920 |
.9922 |
.9925 |
.9927 |
.9929 |
.9931 |
.9932 |
.9934 |
.9936 |
|
2.5 |
.9938 |
.9940 |
.9941 |
.9943 |
.9945 |
.9946 |
.9948 |
.9949 |
.9951 |
.9952 |
|
2.6 |
.9953 |
.9955 |
.9956 |
.9957 |
.9959 |
.9960 |
.9961 |
.9962 |
.9963 |
.9964 |
|
2.7 |
.9965 |
.9966 |
.9967 |
.9968 |
.9969 |
.9970 |
.9971 |
.9972 |
.9973 |
.9974 |
|
2.8 |
.9974 |
.9975 |
.9976 |
.9977 |
.9977 |
.9978 |
.9979 |
.9979 |
.9980 |
.9981 |
|
2.9 |
.9981 |
.9982 |
.9982 |
.9983 |
.9984 |
.9984 |
.9985 |
.9985 |
.9986 |
.9986 |
|
|
|
|
|
|
|
|
|
|
|
|
|
3.0 |
.9987 |
.9987 |
.9987 |
.9988 |
.9988 |
.9989 |
.9989 |
.9989 |
.9990 |
.9990 |
|
3.1 |
.9990 |
.9991 |
.9991 |
.9991 |
.9992 |
.9992 |
.9992 |
.9992 |
.9993 |
.9993 |
|
3.2 |
.9993 |
.9993 |
.9994 |
.9994 |
.9994 |
.9994 |
.9994 |
.9995 |
.9995 |
.9995 |
|
3.3 |
.9995 |
.9995 |
.9995 |
.9996 |
.9996 |
.9996 |
.9996 |
.9996 |
.9996 |
.9997 |
|
3.4 |
.9997 |
.9997 |
.9997 |
.9997 |
.9997 |
.9997 |
.9997 |
.9997 |
.9997 |
.9998 |
|
3.5 |
.9998 |
.9998 |
.9998 |
.9998 |
.9998 |
.9998 |
.9998 |
.9998 |
.9998 |
.9998 |
Tabell over kjikvadratfordelingen
Tabellen gir sannsynligheten P(Z >
z) der Z er kjikvadratfordelt og z er verdier i tabellen.
Eksempel: For kjikvadratfordelingen med 7 frihetsgrader has:
P(Z
> 14.07) = 0.05
|
|
Sannsynlighet for
? overstige angitt grense
|
|||
|
Frihetsgrader |
0.10 |
0.05 |
0.025 |
0.01 |
|
1 |
2.71 |
3.84 |
5.02 |
6.63 |
|
2 |
4.61 |
5.99 |
7.38 |
9.21 |
|
3 |
6.25 |
7.81 |
9.35 |
11.34 |
|
4 |
7.78 |
9.49 |
11.14 |
13.28 |
|
5 |
9.24 |
11.07 |
12.83 |
15.09 |
|
|
|
|
|
|
|
6 |
10.64 |
12.59 |
14.45 |
16.81 |
|
7 |
12.02 |
14.07 |
16.01 |
18.48 |
|
8 |
13.36 |
15.51 |
17.53 |
20.09 |
|
9 |
14.68 |
16.92 |
19.02 |
21.67 |
|
10 |
15.99 |
18.31 |
20.48 |
23.21 |
|
|
|
|
|
|
|
11 |
17.28 |
19.68 |
21.92 |
24.72 |
|
12 |
18.55 |
21.03 |
23.34 |
26.22 |
|
13 |
19.81 |
22.36 |
24.74 |
27.69 |
|
14 |
21.06 |
23.68 |
26.12 |
29.14 |
|
15 |
22.31 |
25.00 |
27.49 |
30.58 |
|
|
|
|
|
|
|
16 |
23.54 |
26.30 |
28.85 |
32.00 |
|
17 |
24.77 |
27.59 |
30.19 |
33.41 |
|
18 |
25.99 |
28.87 |
31.53 |
34.81 |
|
19 |
27.20 |
30.14 |
32.85 |
36.19 |
|
20 |
28.41 |
31.41 |
34.17 |
37.57 |
Tabell over Studentfordelingen
Tabellen gir sannsynligheten P(t >
t0) der t er
Studentfordelt
og t0 er et tall i
tabellen.
Eksempel: For Studentfordelingen med 7 frihetsgrader has:
P(t
> 1.895) = 0.05
|
|
Sannsynlighet for ? overstige angitt grense
|
|||||
|
Frihetsgrader |
0.25 |
0.10 |
0.05 |
0.025 |
0.01 |
0.005 |
|
1 |
1.000 |
3.078 |
6.314 |
12.706 |
31.821 |
63.657 |
|
2 |
0.816 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
|
3 |
0.765 |
1.638 |
2.353 |
3.182 |
4.541 |
5.841 |
|
4 |
0.741 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
|
|
|
|
|
|
|
|
|
5 |
0.727 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
|
6 |
0.718 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
|
7 |
0.711 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
|
8 |
0.706 |
1.397 |
1.860 |
2.306 |
2.896 |
3.355 |
|
9 |
0.703 |
1.383 |
1.833 |
2.262 |
2.821 |
3.250 |
|
|
|
|
|
|
|
|
|
10 |
0.700 |
1.372 |
1.812 |
2.228 |
2.764 |
3.169 |
|
11 |
0.697 |
1.363 |
1.796 |
2.201 |
2.718 |
3.106 |
|
12 |
0.695 |
1.356 |
1.782 |
2.179 |
2.681 |
3.055 |
|
13 |
0.694 |
1.350 |
1.771 |
2.160 |
2.650 |
3.012 |
|
14 |
0.692 |
1.345 |
1.761 |
2.145 |
2.624 |
2.977 |
|
|
|
|
|
|
|
|
|
15 |
0.691 |
1.341 |
1.753 |
2.131 |
2.602 |
2.947 |
|
16 |
0.690 |
1.337 |
1.746 |
2.120 |
2.583 |
2.921 |
|
17 |
0.689 |
1.333 |
1.740 |
2.110 |
2.567 |
2.898 |
|
18 |
0.688 |
1.330 |
1.734 |
2.101 |
2.552 |
2.878 |
|
19 |
0.688 |
1.328 |
1.729 |
2.093 |
2.539 |
2.861 |
|
|
|
|
|
|
|
|
|
20 |
0.687 |
1.325 |
1.725 |
2.086 |
2.528 |
2.845 |
|
21 |
0.686 |
1.323 |
1.721 |
2.080 |
2.518 |
2.831 |
|
22 |
0.686 |
1.321 |
1.717 |
2.074 |
2.508 |
2.819 |
|
23 |
0.685 |
1.319 |
1.714 |
2.069 |
2.500 |
2.807 |
|
24 |
0.685 |
1.318 |
1.711 |
2.064 |
2.492 |
2.797 |
|
|
|
|
|
|
|
|
|
25 |
0.684 |
1.316 |
1.708 |
2.06 |
2.485 |
2.787 |
|
26 |
0.684 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
|
27 |
0.684 |
1.314 |
1.703 |
2.052 |
2.473 |
2.771 |
|
28 |
0.683 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
|
29 |
0.683 |
1.311 |
1.699 |
2.045 |
2.462 |
2.756 |
|
|
|
|
|
|
|
|
|
30 |
0.683 |
1.310 |
1.697 |
2.042 |
2.457 |
2.750 |
|
40 |
0.681 |
1.303 |
1.684 |
2.021 |
2.423 |
2.704 |
|
60 |
0.679 |
1.296 |
1.671 |
2.000 |
2.390 |
2.660 |
|
120 |
0.677 |
1.289 |
1.658 |
1.980 |
2.358 |
2.617 |