Questão Q2422282 - Estatística

Question

Tabelas para consultaTabela da distribuição t-studentGrau de liberdadeÁrea da cauda superior0,10,050,0250,010,00513,0786,31412,70631,82163,65721,8862,924,3036,9659,92531,6382,3533,1824,5415,84141,5332,1322,7763,7474,60451,4762,0152,5713,3654,03261,441,9432,4473,1433,70771,4151,8952,3652,9983,49981,3971,862,3062,8963,35591,3831,8332,2622,8213,25101,3721,8122,2282,7643,169111,3631,7962,2012,7183,106121,3561,7822,1792,6813,055131,351,7712,162,653,012141,3451,7612,1452,6242,977151,3411,7532,1312,6022,947161,3371,7462,122,5832,921171,3331,742,112,5672,898181,331,7342,1012,5522,878191,3281,7292,0932,5392,861201,3251,7252,0862,5282,845211,3231,7212,082,5182,831221,3211,7172,0742,5082,819231,3191,7142,0692,52,807241,3181,7112,0642,4922,797251,3161,7082,062,4852,787261,3151,7062,0562,4792,779271,3141,7032,0522,4732,771281,3131,7012,0482,4672,763291,3111,6992,0452,4622,756301,311,6972,0422,4572,75401,3031,6842,0212,4232,7041201,2891,6581,982,3582,6172001,2861,6531,9722,3452,601Tabela da distribuição Qui-quadrado	Probabilidade (Xn2​≥x)Grau de liberdadeÁrea na cauda superior0,250,10,050,0250,010,0050,00250,0010,000511,322,713,845,026,637,889,1410,8312,1222,774,615,997,389,2110,611,9813,8215,234,116,257,819,3511,3412,8414,3216,2717,7345,397,789,4911,1413,2814,8616,4218,472056,639,2411,0712,8315,0916,7518,3920,5222,1167,8410,6412,5914,4516,8118,5520,2522,4624,179,0412,0214,0716,0118,4820,2822,0424,3226,02810,2213,3615,5117,5320,0921,9523,7726,1227,87911,3914,6816,9219,0221,6723,5925,4627,8829,671012,5515,9918,3120,4823,2125,1927,1129,5931,421113,717,2819,6821,9224,7226,7628,7331,2633,141214,8518,5521,0323,3426,2228,330,3232,9134,821315,9819,8122,3624,7427,6929,8231,8834,5336,481417,1221,0623,6826,1229,1431,3233,4336,1238,111518,2522,312527,4930,5832,834,9537,739,721619,3723,5426,328,853234,2736,4639,2541,311720,4924,7727,5930,1933,4135,7237,9540,7942,881821,625,9928,8731,5334,8137,1639,4242,3144,431922,7227,230,1432,8536,1938,5840,8843,8245,972023,8328,4131,4134,1737,574042,3445,3147,52124,9329,6232,6735,4838,9341,443,7846,849,012226,0430,8133,9236,7840,2942,845,248,2750,512327,1432,0135,1738,0841,6444,1846,6249,73522428,2433,236,4239,3642,9845,5648,0351,1853,482529,3434,3837,6540,6544,3146,9349,4452,6254,952630,4335,5638,8941,9245,6448,2950,8354,0556,412731,5336,7440,1143,1946,9649,6452,2255,4857,862832,6237,9241,3444,4648,2850,9953,5956,8959,32933,7139,0942,5645,7249,5952,3454,9758,360,733034,840,2643,7746,9850,8953,6756,3359,762,163540,2246,0649,853,257,3460,2763,0866,6269,24045,6251,8155,7659,3463,6966,7769,773,476,094550,9857,5161,6665,4169,9673,1776,2280,0882,885056,3363,1767,571,4276,1579,4982,6686,6689,56100109,14118,5124,34129,56135,81140,17144,29149,45153,17Tabela da distribuição Normal padrãoProbabilidade da distribuição normal padrão acumulada na cauda superior - Prob(Z>Z0)Z0Segunda decimal de Z0.00,010,020,030,040,050,060,070,080,090,000,50,4960,4920,4880,4840,48010,47610,47210,46810,46410,100,46020,45620,45220,44830,44430,44040,43640,43250,42860,42470,200,42070,41680,41290,4090,40520,40130,39740,39360,38970,38590,300,38210,37830,37450,37070,36690,36320,35940,35570,3520,34830,400,34460,34090,33720,33360,330,32640,32280,31920,31560,31210,500,30850,3050,30150,29810,29460,29120,28770,28430,2810,27760,600,27430,27090,26760,26430,26110,25780,25460,25140,24830,24510,700,2420,23890,23580,23270,22960,22660,22360,22060,21770,21480,800,21190,2090,20610,20330,20050,19770,19490,19220,18940,18670,900,18410,18140,17880,17620,17360,17110,16850,1660,16350,16111,000,15870,15620,15390,15150,14920,14690,14460,14230,14010,13791,100,13570,13350,13140,12920,12710,12510,1230,1210,1190,1171,200,11510,11310,11120,10930,10750,10560,10380,1020,10030,09851,300,09680,09510,09340,09180,09010,08850,08690,08530,08380,08231,400,08080,07930,07780,07640,07490,07350,07210,07080,06940,06811,500,06680,06550,06430,0630,06180,06060,05940,05820,05710,05591,600,05480,05370,05260,05160,05050,04950,04850,04750,04650,04551,700,04460,04360,04270,04180,04090,04010,03920,03840,03750,03671,800,03590,03510,03440,03360,03290,03220,03140,03070,03010,02941,900,02870,02810,02740,02680,02620,02560,0250,02440,02390,02332,000,02280,02220,02170,02120,02070,02020,01970,01920,01880,01832,100,01790,01740,0170,01660,01620,01580,01540,0150,01460,01432,200,01390,01360,01320,01290,01250,01220,01190,01160,01130,0112,300,01070,01040,01020,00990,00960,00940,00910,00890,00870,00842,400,00820,0080,00780,00750,00730,00710,00690,00680,00660,00642,500,00620,0060,00590,00570,00550,00540,00520,00510,00490,00482,600,00470,00450,00440,00430,00410,0040,00390,00380,00370,00362,700,00350,00340,00330,00320,00310,0030,00290,00280,00270,00262,800,00260,00250,00240,00230,00230,00220,00210,00210,0020,00192,900,00190,00180,00180,00170,00160,00160,00150,00150,00140,00143,000,00130,00130,00130,00120,00120,00110,00110,00110,0010,0013,100,0010,00090,00090,00090,00080,00080,00080,00080,00070,00073,200,00070,00070,00060,00060,00060,00060,00060,00050,00050,00053,300,00050,00050,00050,00040,00040,00040,00040,00040,00040,00033,400,00030,00030,00030,00030,00030,00030,00030,00030,00030,00023,500,00020,00020,00020,00020,00020,00020,00020,00020,00020,00023,600,00020,00020,00010,00010,00010,00010,00010,00010,00010,00013,700,00010,00010,00010,00010,00010,00010,00010,00010,00010,00013,800,00010,00010,00010,00010,00010,00010,00010,00010,00010,00013,900,00000,00000,00000,00000,00000,00000,00000,00000,00000,00004,000,00000,00000,00000,00000,00000,00000,00000,00000,00000,0000 Com o objetivo de testar se um treinamento virtual melhoraria o desempenho de uma determinada tarefa, 5 indivíduos foram submetidos ao treinamento virtual e comparados com outros 5 indivíduos que não tiveram esse treinamento.Os indivíduos foram submetidos a uma mesma tarefa repetidas vezes, e seus desempenhos foram mensurados.Posteriormente, os indivíduos foram ordenados conforme mostra a tabela abaixo.A Posição 1 indica a melhor performance e 10, a pior. O Grupo “T” indica que o indivíduo teve treinamento, e “NT”, que não teve treinamento.Posição1 ____ 2 ____ 3 ____ 4 _____ 5GrupoT ____ T ____ T ____ NT ____ TPosição6 ____ 7 ___ 8 ____ 9 ____ 10GrupoNT ___ NT ___ T ___ NT ___ NTUtilizou-se a Linguagem R para efetuar vários testes.Entretanto, o resultado para o teste de hipóteses mais adequado é:

Gran Questões · Accepted Answer

Wilcoxon rank sum exact test data: não_treinados and treinados W = 21, p-value = 0.9722 alternative hypothesis: true location shift is less than 0

Gran Questões · Answer

Paired t-test data: não_treinados and treinados t = 2.493, df = 4, p-value = 0.9664 alternative hypothesis: true difference in means is less than 0

Gran Questões · Answer

Wilcoxon signed rank exact test data: treinados V = 15, p-value = 0.0625 alternative hypothesis: true location is not equal to 0

Gran Questões · Answer

Wilcoxon signed rank exact test data: (não_treinados - treinados) V = 14, p-value = 0.0625 alternative hypothesis: true location is greater than 0

Gran Questões · Answer

Wilcoxon rank sum exact test data: não_treinados and treinados W = 21, p-value = 0.09524 alternative hypothesis: true location shift is not equal to 0

Probabilidade da distribuição normal padrão acumulada na cauda superior - Prob(Z>Z₀)
Z₀	Segunda decimal de Z0
.	0	0,01	0,02	0,03	0,04	0,05	0,06	0,07	0,08	0,09
0,00	0,5	0,496	0,492	0,488	0,484	0,4801	0,4761	0,4721	0,4681	0,4641
0,10	0,4602	0,4562	0,4522	0,4483	0,4443	0,4404	0,4364	0,4325	0,4286	0,4247
0,20	0,4207	0,4168	0,4129	0,409	0,4052	0,4013	0,3974	0,3936	0,3897	0,3859
0,30	0,3821	0,3783	0,3745	0,3707	0,3669	0,3632	0,3594	0,3557	0,352	0,3483
0,40	0,3446	0,3409	0,3372	0,3336	0,33	0,3264	0,3228	0,3192	0,3156	0,3121
0,50	0,3085	0,305	0,3015	0,2981	0,2946	0,2912	0,2877	0,2843	0,281	0,2776
0,60	0,2743	0,2709	0,2676	0,2643	0,2611	0,2578	0,2546	0,2514	0,2483	0,2451
0,70	0,242	0,2389	0,2358	0,2327	0,2296	0,2266	0,2236	0,2206	0,2177	0,2148
0,80	0,2119	0,209	0,2061	0,2033	0,2005	0,1977	0,1949	0,1922	0,1894	0,1867
0,90	0,1841	0,1814	0,1788	0,1762	0,1736	0,1711	0,1685	0,166	0,1635	0,1611
1,00	0,1587	0,1562	0,1539	0,1515	0,1492	0,1469	0,1446	0,1423	0,1401	0,1379
1,10	0,1357	0,1335	0,1314	0,1292	0,1271	0,1251	0,123	0,121	0,119	0,117
1,20	0,1151	0,1131	0,1112	0,1093	0,1075	0,1056	0,1038	0,102	0,1003	0,0985
1,30	0,0968	0,0951	0,0934	0,0918	0,0901	0,0885	0,0869	0,0853	0,0838	0,0823
1,40	0,0808	0,0793	0,0778	0,0764	0,0749	0,0735	0,0721	0,0708	0,0694	0,0681
1,50	0,0668	0,0655	0,0643	0,063	0,0618	0,0606	0,0594	0,0582	0,0571	0,0559
1,60	0,0548	0,0537	0,0526	0,0516	0,0505	0,0495	0,0485	0,0475	0,0465	0,0455
1,70	0,0446	0,0436	0,0427	0,0418	0,0409	0,0401	0,0392	0,0384	0,0375	0,0367
1,80	0,0359	0,0351	0,0344	0,0336	0,0329	0,0322	0,0314	0,0307	0,0301	0,0294
1,90	0,0287	0,0281	0,0274	0,0268	0,0262	0,0256	0,025	0,0244	0,0239	0,0233
2,00	0,0228	0,0222	0,0217	0,0212	0,0207	0,0202	0,0197	0,0192	0,0188	0,0183
2,10	0,0179	0,0174	0,017	0,0166	0,0162	0,0158	0,0154	0,015	0,0146	0,0143
2,20	0,0139	0,0136	0,0132	0,0129	0,0125	0,0122	0,0119	0,0116	0,0113	0,011
2,30	0,0107	0,0104	0,0102	0,0099	0,0096	0,0094	0,0091	0,0089	0,0087	0,0084
2,40	0,0082	0,008	0,0078	0,0075	0,0073	0,0071	0,0069	0,0068	0,0066	0,0064
2,50	0,0062	0,006	0,0059	0,0057	0,0055	0,0054	0,0052	0,0051	0,0049	0,0048
2,60	0,0047	0,0045	0,0044	0,0043	0,0041	0,004	0,0039	0,0038	0,0037	0,0036
2,70	0,0035	0,0034	0,0033	0,0032	0,0031	0,003	0,0029	0,0028	0,0027	0,0026
2,80	0,0026	0,0025	0,0024	0,0023	0,0023	0,0022	0,0021	0,0021	0,002	0,0019
2,90	0,0019	0,0018	0,0018	0,0017	0,0016	0,0016	0,0015	0,0015	0,0014	0,0014
3,00	0,0013	0,0013	0,0013	0,0012	0,0012	0,0011	0,0011	0,0011	0,001	0,001
3,10	0,001	0,0009	0,0009	0,0009	0,0008	0,0008	0,0008	0,0008	0,0007	0,0007
3,20	0,0007	0,0007	0,0006	0,0006	0,0006	0,0006	0,0006	0,0005	0,0005	0,0005
3,30	0,0005	0,0005	0,0005	0,0004	0,0004	0,0004	0,0004	0,0004	0,0004	0,0003
3,40	0,0003	0,0003	0,0003	0,0003	0,0003	0,0003	0,0003	0,0003	0,0003	0,0002
3,50	0,0002	0,0002	0,0002	0,0002	0,0002	0,0002	0,0002	0,0002	0,0002	0,0002
3,60	0,0002	0,0002	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001
3,70	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001
3,80	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001	0,0001
3,90	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000
4,00	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000	0,0000

Grau de liberdade	Área da cauda superior
Grau de liberdade	0,1	0,05	0,025	0,01	0,005
1	3,078	6,314	12,706	31,821	63,657
2	1,886	2,92	4,303	6,965	9,925
3	1,638	2,353	3,182	4,541	5,841
4	1,533	2,132	2,776	3,747	4,604
5	1,476	2,015	2,571	3,365	4,032
6	1,44	1,943	2,447	3,143	3,707
7	1,415	1,895	2,365	2,998	3,499
8	1,397	1,86	2,306	2,896	3,355
9	1,383	1,833	2,262	2,821	3,25
10	1,372	1,812	2,228	2,764	3,169
11	1,363	1,796	2,201	2,718	3,106
12	1,356	1,782	2,179	2,681	3,055
13	1,35	1,771	2,16	2,65	3,012
14	1,345	1,761	2,145	2,624	2,977
15	1,341	1,753	2,131	2,602	2,947
16	1,337	1,746	2,12	2,583	2,921
17	1,333	1,74	2,11	2,567	2,898
18	1,33	1,734	2,101	2,552	2,878
19	1,328	1,729	2,093	2,539	2,861
20	1,325	1,725	2,086	2,528	2,845
21	1,323	1,721	2,08	2,518	2,831
22	1,321	1,717	2,074	2,508	2,819
23	1,319	1,714	2,069	2,5	2,807
24	1,318	1,711	2,064	2,492	2,797
25	1,316	1,708	2,06	2,485	2,787
26	1,315	1,706	2,056	2,479	2,779
27	1,314	1,703	2,052	2,473	2,771
28	1,313	1,701	2,048	2,467	2,763
29	1,311	1,699	2,045	2,462	2,756
30	1,31	1,697	2,042	2,457	2,75
40	1,303	1,684	2,021	2,423	2,704
120	1,289	1,658	1,98	2,358	2,617
200	1,286	1,653	1,972	2,345	2,601

Grau de liberdade	Área na cauda superior
Grau de liberdade	0,25	0,1	0,05	0,025	0,01	0,005	0,0025	0,001	0,0005
1	1,32	2,71	3,84	5,02	6,63	7,88	9,14	10,83	12,12
2	2,77	4,61	5,99	7,38	9,21	10,6	11,98	13,82	15,2
3	4,11	6,25	7,81	9,35	11,34	12,84	14,32	16,27	17,73
4	5,39	7,78	9,49	11,14	13,28	14,86	16,42	18,47	20
5	6,63	9,24	11,07	12,83	15,09	16,75	18,39	20,52	22,11
6	7,84	10,64	12,59	14,45	16,81	18,55	20,25	22,46	24,1
7	9,04	12,02	14,07	16,01	18,48	20,28	22,04	24,32	26,02
8	10,22	13,36	15,51	17,53	20,09	21,95	23,77	26,12	27,87
9	11,39	14,68	16,92	19,02	21,67	23,59	25,46	27,88	29,67
10	12,55	15,99	18,31	20,48	23,21	25,19	27,11	29,59	31,42
11	13,7	17,28	19,68	21,92	24,72	26,76	28,73	31,26	33,14
12	14,85	18,55	21,03	23,34	26,22	28,3	30,32	32,91	34,82
13	15,98	19,81	22,36	24,74	27,69	29,82	31,88	34,53	36,48
14	17,12	21,06	23,68	26,12	29,14	31,32	33,43	36,12	38,11
15	18,25	22,31	25	27,49	30,58	32,8	34,95	37,7	39,72
16	19,37	23,54	26,3	28,85	32	34,27	36,46	39,25	41,31
17	20,49	24,77	27,59	30,19	33,41	35,72	37,95	40,79	42,88
18	21,6	25,99	28,87	31,53	34,81	37,16	39,42	42,31	44,43
19	22,72	27,2	30,14	32,85	36,19	38,58	40,88	43,82	45,97
20	23,83	28,41	31,41	34,17	37,57	40	42,34	45,31	47,5
21	24,93	29,62	32,67	35,48	38,93	41,4	43,78	46,8	49,01
22	26,04	30,81	33,92	36,78	40,29	42,8	45,2	48,27	50,51
23	27,14	32,01	35,17	38,08	41,64	44,18	46,62	49,73	52
24	28,24	33,2	36,42	39,36	42,98	45,56	48,03	51,18	53,48
25	29,34	34,38	37,65	40,65	44,31	46,93	49,44	52,62	54,95
26	30,43	35,56	38,89	41,92	45,64	48,29	50,83	54,05	56,41
27	31,53	36,74	40,11	43,19	46,96	49,64	52,22	55,48	57,86
28	32,62	37,92	41,34	44,46	48,28	50,99	53,59	56,89	59,3
29	33,71	39,09	42,56	45,72	49,59	52,34	54,97	58,3	60,73
30	34,8	40,26	43,77	46,98	50,89	53,67	56,33	59,7	62,16
35	40,22	46,06	49,8	53,2	57,34	60,27	63,08	66,62	69,2
40	45,62	51,81	55,76	59,34	63,69	66,77	69,7	73,4	76,09
45	50,98	57,51	61,66	65,41	69,96	73,17	76,22	80,08	82,88
50	56,33	63,17	67,5	71,42	76,15	79,49	82,66	86,66	89,56
100	109,14	118,5	124,34	129,56	135,81	140,17	144,29	149,45	153,17

Posição	1 ____ 2 ____ 3 ____ 4 _____ 5
Grupo	T ____ T ____ T ____ NT ____ T

Posição	6 ____ 7 ___ 8 ____ 9 ____ 10
Grupo	NT ___ NT ___ T ___ NT ___ NT

Com o objetivo de testar se um treinamento virtual...