Таблицы математической статистики

Таблицы математической статистики

Таблица 1. Равномерно распределенные случайные числа

10	09	73	25	33	76	52	01	35	86	34	67	35	48	76
37	54	20	48	05	64	69	47	42	96	24	80	52	40	37
08	42	26	89	53	19	64	50	93	03	23	20	90	25	60
99	01	90	25	29	09	37	67	07	15	38	31	13	11	65
12	80	79	99	70	80	15	73	61	47	64	03	23	66	53
80	95	90	91	17	39	29	27	49	45	66	06	57	47	17
20	63	61	04	02	00	82	29	16	65	31	06	01	08	05
15	95	33	47	64	35	08	03	36	06	85	26	97	76	02
88	67	67	43	97	04	43	62	76	59	63	57	33	21	35
96	95	11	68	77	12	17	17	68	33	73	79	64	57	53
34	07	27	68	50	36	69	73	61	70	65	81	33	98	85
45	57	18	24	06	35	30	34	26	14	86	79	90	74	39
02	05	16	56	92	68	66	57	48	18	73	05	38	52	47
05	32	54	70	48	90	55	35	75	48	28	46	82	87	09
03	53	96	47	78	35	80	83	42	82	60	93	52	03	44
11	19	92	91	70	98	52	01	77	67	14	90	56	86	07
23	40	30	97	32	11	80	50	54	31	39	80	82	77	32
18	62	38	85	79	83	45	29	96	34	06	28	89	80	83
83	49	12	56	24	86	68	54	02	00	86	50	75	84	01
35	27	38	84	35	99	59	46	73	48	87	51	76	49	69
22	10	94	05	58	60	97	09	34	33	50	50	07	39	98
50	72	56	82	48	29	40	52	42	01	52	77	56	78	61
13	74	67	00	78	18	47	54	06	10	68	71	17	78	17
36	76	66	73	51	90	36	47	64	93	29	60	91	10	62
91	82	60	89	28	93	78	56	13	68	23	47	83	41	13
65	48	11	76	74	17	46	85	09	50	58	04	77	69	74
80	12	43	56	35	17	72	70	80	15	45	31	82	23	74
74	35	09	98	17	77	40	27	72	14	43	23	60	02	10
69	91	62	68	03	66	25	22	91	48	36	93	68	72	03
09	89	32	05	05	14	22	56	85	14	46	42	75	67	88

Таблица 2. Значения квантилей распределения Стьюдента

Число степеней	Доверительные вероятности
свободы	0.9	0.95	0.98	0.99	0.999
1	6.31375	12.7062	31.821	63.655898	636.578
2	2.91999	4.30266	6.96455	9.9249883	31.5998
3	2.35336	3.18245	4.54071	5.8408477	12.9244
4	2.13185	2.77645	3.74694	4.6040805	8.61008
5	2.01505	2.57058	3.36493	4.0321174	6.8685
6	1.94318	2.44691	3.14267	3.7074278	5.95872
7	1.89458	2.36462	2.99795	3.499481	5.40807
8	1.85955	2.30601	2.89647	3.3553806	5.04137
9	1.83311	2.26216	2.82143	3.2498428	4.78089
10	1.81246	2.22814	2.76377	3.1692616	4.58676
11	1.79588	2.20099	2.71808	3.1058153	4.43688
12	1.78229	2.17881	2.68099	3.054538	4.31784
13	1.77093	2.16037	2.6503	3.0122828	4.22093
14	1.76131	2.14479	2.62449	2.9768489	4.14031
15	1.75305	2.13145	2.60248	2.9467265	4.07279
16	1.74588	2.1199	2.58349	2.9207877	4.01487
17	1.73961	2.10982	2.56694	2.8982322	3.96511
18	1.73406	2.10092	2.55238	2.8784416	3.92174
19	1.72913	2.09302	2.53948	2.8609429	3.88332
20	1.72472	2.08596	2.52798	2.845336	3.84956
21	1.72074	2.07961	2.51765	2.8313661	3.8193
22	1.71714	2.07388	2.50832	2.8187605	3.79223
23	1.71387	2.06865	2.49987	2.8073373	3.76764
24	1.71088	2.0639	2.49216	2.7969509	3.74537
25	1.70814	2.05954	2.4851	2.7874376	3.72514
26	1.70562	2.05553	2.47863	2.7787246	3.70666
27	1.70329	2.05183	2.47266	2.7706847	3.68949
28	1.70113	2.04841	2.46714	2.7632632	3.67392
29	1.69913	2.04523	2.46202	2.7563874	3.65952
30	1.69726	2.04227	2.45726	2.7499846	3.64598
60	1.67065	2.0003	2.39012	2.660272	3.46015
120	1.65765	1.97993	2.35783	2.6174166	3.37342

Таблица 3. Значения нормальной стандартной функции распределения

х	Ф(х)	X	Ф(х)	X	Ф(х)	X	Ф(х)
0	0.5	0.3	0.6179	0.6	0.7257	0.9	0.8159
0.01	0.504	0.31	0.6217	0.61	0.7291	0.91	0.8186
0.02	0.508	0.32	0.6255	0.62	0.7324	0.92	0.8212
0.03	0.512	0.33	0.6293	0.63	0.7357	0.93	0.8238
0.04	0.516	0.34	0.6331	0.64	0.7389	0.94	0.8264
0.05	0.5199	0.35	0.6368	0.65	0.7422	0.95	0.8289
0.06	0.5239	0.36	0.6406	0.66	0.7454	0.96	0.8315
0.07	0.5279	0.37	0.6443	0.67	0.7486	0.97	0.834
0.08	0.5319	0.38	0.648	0.68	0.7517	0.98	0.8365
0.09	0.5359	0.39	0.6517	0.69	0.7549	0.99	0.8389
0.1	0.5398	0.4	0.6554	0.7	0.758	1	0.8413
0.11	0.5438	0.41	0.6591	0.71	0.7611	1.01	0.8438
0.12	0.5478	0.42	0.6628	0.72	0.7642	1.02	0.8461
0.13	0.5517	0.43	0.6664	0.73	0.7673	1.03	0.8485
0.14	0.5557	0.44	0.67	0.74	0.7704	1.04	0.8508
0.15	0.5596	0.45	0.6736	0.75	0.7734	1.05	0.8531
0.16	0.5636	0.46	0.6772	0.76	0.7764	1.06	0.8554
0.17	0.5675	0.47	0.6808	0.77	0.7794	1.07	0.8577
0.18	0.5714	0.48	0.6844	0.78	0.7823	1.08	0.8599
0.19	0.5753	0.49	0.6879	0.79	0.7852	1.09	0.8621
0.2	0.5793	0.5	0.6915	0.8	0.7881	1.1	0.8643
0.21	0.5832	0.51	0.695	0.81	0.791	1.11	0.8665
0.22	0.5871	0.52	0.6985	0.82	0.7939	1.12	0.8686
0.23	0.591	0.53	0.7019	0.83	0.7967	1.13	0.8708
0.24	0.5948	0.54	0.7054	0.84	0.7995	1.14	0.8729
0.25	0.5987	0.55	0.7088	0.85	0.8023	1.15	0.8749
0.26	0.6026	0.56	0.7123	0.86	0.8051	1.16	0.877
0.27	0.6064	0.57	0.7157	0.87	0.8078	1.17	0.879
0.28	0.6103	0.58	0.719	0.88	0.8106	1.18	0.881
0.29	0.6141	0.59	0.7224	0.89	0.8133	1.19	0.883

Продолжение таблицы 3

х	Ф(х)	X	Ф(х)	X	Ф(х)	X	Ф(х)
1.2	0.8849	1.5	0.9332	1.8	0.9641	2.1	0.9821
1.21	0.8869	1.51	0.9345	1.81	0.9649	2.11	0.9826
1.22	0.8888	1.52	0.9357	1.82	0.9656	2.12	0.983
1.23	0.8907	1.53	0.937	1.83	0.9664	2.13	0.9834
1.24	0.8925	1.54	0.9382	1.84	0.9671	2.14	0.9838
1.25	0.8944	1.55	0.9394	1.85	0.9678	2.15	.0.9842
1.26	0.8962	1.56	0.9406	1.86	0.9686	2.16	0.9846
1.27	0.898	1.57	0.9418	1.87	0.9693	2.17	0.985
1.28	0.8997	1.58	0.9429	1.88	0.9699	2.18	0.9854
1.29	0.9015	1.59	0.9441	1.89	0.9706	2.19	0.9857
1.3	0.9032	1.6	0.9452	1.9	0.9713	2.2	0.9861
1.31	0.9049	1.61	0.9463	1.91	0.9719	2.21	0.9864
1.32	0.9066	1.62	0.9474	1.92	0.9726	2.22	0.9868
1.33	0.9082	1.63	0.9484	1.93	0.9732	2.23	0.9871
1.34	0.9099	1.64	0.9495	1.94	0.9738	2.24	0.9875
1.35	0.9115	1.65	0.9505	1.95	0.9744	2.25	0.9878
1.36	0.9131	1.66	0.9515	1.96	0.975	2.26	0.9881
1.37	0.9147	1.67	0.9525	1.97	0.9756	2.27	0.9884
1.38	0.9162	1.68	0.9535	1.98	0.9761	2.28	0.9887
1.39	0.9177	1.69	0.9545	1.99	0.9767	2.29	0.989
1.4	0.9192	1.7	0.9554	2	0.9772	2.3	0.9893
1.41	0.9207	1.71	0.9564	2.01	0.9778	2.31	0.9896
1.42	0.9222	1.72	0.9573	2.02	0.9783	2.32	0.9898
1.43	0.9236	1.73	0.9582	2.03	0.9788	2.33	0.9901
1.44	0.9251	1.74	0.9591	2.04	0.9793	2.34	0.9904
1.45	0.9265	1.75	0.9599	2.05	0.9798	2.35	0.9906
1.46	0.9279	1.76	0.9608	2.06	0.9803	2.36	0.9909
1.47	0.9292	1.77	0.9616	2.07	0.9808	2.37	0.9911
1.48	0.9306	1.78	0.9625	2.08	0.9812	2.38	0.9913
1.49	0.9319	1.79	0.9633	2.09	0.9817	2.39	0.9916

Окончание таблицы 3

х	Ф(х)	X	Ф(х)	X	Ф(х)	X	Ф(х)
2.4	0.9918	2.7	0.9965	3	0.9987	3.3	0.9995
2.41	0.992	2.71	0.9966	3.01	0.9987	3.31	0.9995
2.42	0.9922	2.72	0.9967	3.02	0.9987	3.32	0.9995
2.43	0.9925	2.73	0.9968	3.03	0.9988	3.33	0.9996
2.44	0.9927	2.74	0.9969	3.04	0.9988	3.34	0.9996
2.45	0.9929	2.75	0.997	3.05	0.9989	3.35	0.9996
2.46	0.9931	2.76	0.9971	3.06	0.9989	3.36	0.9996
2.47	0.9932	2.77	0.9972	3.07	0.9989	3.37	0.9996
2.48	0.9934	2.78	0.9973	3.08	0.999	3.38	0.9996
2.49	0.9936	2.79	0.9974	3.09	0.999	3.39	0.9997
2.5	0.9938	2.8	0.9974	3.1	0.999	3.4	0.9997
2.51	0.994	2.81	0.9975	3.11	0.9991	3.41	0.9997
2.52	0.9941	2.82	0.9976	3.12	0.9991	3.42	0.9997
2.53	0.9943	2.83	0.9977	3.13	0.9991	3.43	0.9997
2.54	0.9945	2.84	0.9977	3.14	0.9992	3.44	0.9997
2.55	0.9946	2.85	0.9978	3.15	0.9992	3.45	0.9997
2.56	0.9948	2.86	0.9979	3.16	0.9992	3.46	0.9997
2.57	0.9949	2.87	0.9979	3.17	0.9992	3.47	0.9997
2.58	0.9951	2.88	0.998	3.18	0.9993	3.48	0.9997
2.59	0.9952	2.89	0.9981	3.19	0.9993	3.49	0.9998
2.6	0.9953	2.9	0.9981	3.2	0.9993	3.5	0.9998
2.61	0.9955	2.91	0.9982	3.21	0.9993	3.6	0.9998
2.62	0.9956	2.92	0.9982	3.22	0.9994	3.7	0.9998
2.63	0.9957	2.93	0.9983	3.23	0.9994	3.8	0.9999
2.64	0.9959	2.94	0.9984	3.24	0.9994	3.9	1
2.65	0.996	2.95	0.9984	3.25	0.9994	4	1
' 2.66	0.9961	2.96	0.9985	3.26	0.9994
2.67	0.9962	2.97	0.9985	3.27	0.9995
2.68	0.9963	2.98	0.9986	3.28	0.9995
2.69	0.9964	2.99	0.9986	3.29	0.9995

Таблица4. Значения квантилей распределения Пирсона

Число степеней			Уровень значимости
свободы					0.025
	0.001	0.005		0.01			0.05	0.1
1	10.827	7.879		6.635	5.024		3.841	2.706
2	13.815	10.6		9.21	7.378		5.991	4.605
3	16.266	12.84		11.34	9.348		7.815	6.251
4	18.466	14.86		13.28	11.14		9.488	7.779
5	20.515	16.75		15.09	12.83		11.07	9.236
6	22.457	18.55		16.81	14.45		12.59	10.64
7	24.321	20.28		18.48	16.01		14.07	12.02
8	26.124	21.95		20.09	17.53		15.51	13.36
9	27.877	23.59		21.67	19.02		16.92	14.68
10	29.588	25.19		23.21	20.48		18.31	15.99
11	31.264	26.76		24.73	21.92		19.68	17.28
12	32.909	28.3		26.22	23.34		21.03	18.55
13	34.527	29.82		27.69	24.74		22.36	19.81
14	36.124	31.32		29.14	26.12		23.68	21.06
15	37.698	32.8		30.58	27.49		25	22.31
16	39.252	34.27		32	28.85		26.3	23.54
17	40.791	35.72		33.41	30.19		27.59	24.77
18	42.312	37.16		34.81	31.53		28.87	25.99
19	43.819	38.58		36.19	32.85		30.14	27.2
20	45.314	40		37.57	34.17		31.41	28.41
21	46.796	41.4		38.93	35.48		32.67	29.62
22	48.268	42.8		40.29	36.78		33.92	30.81
23	49.728	44.18		41.64	38.08		35.17	32.01
24	51.179	45.56		42.98	39.36		36.42	33.2
25	52.619	46.93		44.31	40.65		37.65	34.38
26	54.051	48.29		45.64	41.92		38.89	35.56
27	55.475	49.65		46.96	43.19		40.11	36.74
28	56.892	50.99		48.28	44.46		41.34	37.92
29	58.301	52.34		49.59	45.72		42.56	39.09
30	59.702	53.67		50.89	46.98		43.77	40.26