Questão Q2421972 - 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 Após a cerimônia de posse dos novos servidores aprovados em um concurso para o TJDFT, os recém-nomeados precisam realizar um curso de capacitação especializado.Ao final do curso, os alunos avaliam o curso de forma negativa, se suas expectativas não tiverem sido atendidas, ou de forma positiva, caso contrário.Os dados estão representados na tabela a seguir.GêneroAvaliações do cursoTotalNegativaPositivaMasculino303060Feminino103040Total4060100Com o objetivo de concluir se as avaliações são ou não dependentes do gênero, realizou-se o teste do qui-quadrado.O valor do χ2 observado foi de 6,25.Utilizando-se um nível de 10% de confiança, é possível concluir que:

Gran Questões · Accepted Answer

rejeita-se a hipótese nula, ou seja, a avaliação depende do gênero, pois a estatística de teste é maior do que o valor crítico.

Gran Questões · Answer

não se pode rejeitar a hipótese nula, ou seja, a avaliação independe do gênero, pois a estatística de teste é maior do que o valor crítico;

Gran Questões · Answer

não se pode rejeitar a hipótese nula, ou seja, a avaliação depende do gênero, pois a estatística de teste é menor do que o valor crítico;

Gran Questões · Answer

não se pode rejeitar a hipótese nula, ou seja, a avaliação depende do gênero, pois a estatística de teste é maior do que o valor crítico;

Gran Questões · Answer

rejeita-se a hipótese nula, ou seja, a avaliação independe do gênero, pois a estatística de teste é menor do que o valor crítico;

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

Gênero	Avaliações do curso		Total
Gênero	Negativa	Positiva	Total
Masculino	30	30	60
Feminino	10	30	40
Total	40	60	100

Após a cerimônia de posse dos novos servidores aprovados em...