《数理统计》测验卷(一)答案

1、数理统计测验卷,X , ,XEX 1 DX 2 0（iX，C12ii 0 2 X 1| 1 X 1| 1A.P2B.D.iii1i1 2 X | 1 X 1| 1 C.P2iii1i12设是 p AAnn 0lim PpBn nn010C.A.B. 2N(, ),X , ,XX12n1A.nnX2B.(X )2C.X D.(X ) 22Aniii1i111nX ,X , ,XX (X X)42 是12nnii1 DX ,X , ,XX X 12n1nX D(X) Cnii111A.0C.D.33n14X 8,X , ,XX N(2, )XX i6X212i1N(A.tB.t 2Dn(X X)2

2、iX N(, ),X , ,XY X2i1 X 12n2YA2( )2 n N( , )(, ) (n D.NA.2C.2n1 nX N( , )， , , , ( )2X XXYX2 12ni2i1( )n2(n C.t(nD.t(n)B.A.2B11 nnX N( , )， , , ,( )X X 2 ，XX ，S22X XX12nnninii1i1n1(X )C则YSnN(t(nD.t n( )(n 2B.C.A.1X N(0, )，n , , ,X X22XXX i12nni11nX X 2 ()2S2nBnii111Xnnn(X X)A.B.C.D. (XX 2)X22Sn2iiii

3、1i1i1n X22X2X2N(,X , ,XX3n(n X12n21( )n2(n F(nF(D.A.2C.C(X ,X , ,X ) Y ,Y , ,Y )12两种水稻的亩产量分别为X 与Y ，、X 、12n12nE(X)D(X) EY) ，DY) 2 ， 2，Y1122 X Y 。C D. 且2B.C.且A.22222222121121121CB , , ,X X B2X X12n1n2XX ini111 n1nn(X X)(X)X2iD. X2C.2nnniii1i1i111nn,X , X( )X X 2 X X XX ，Si212nnnnii1i1(X )则E2 Dn1nB.S 2

4、nC.S2D.X2Xn 1nnii1( X N 199xxs2 nii1192 (x x) 0.982A9ii1A.31.06) 是 的 ED,XN(2 X12 D2A. X341231253 XX XX XX XB.D.34444512121212(X ,X , ,X )DX 20设 EX ，2X12nC1n1n 11n 1111nnnnA.XXC.XD.Xniiiii1i1i1i2k eX k k （ 0 21设总体 PDXk!1nX ,X , ,XXX 12nnii1 X 是E(X)C.X 是E(X)X D(X)B. 是 2D.X 是X N( X ,X ,XD1232 X31141116

5、51311 XX X XX XX X XB.C.3246331212313123 且X N 的2 ( , )A2ssC.(X )D.(X(X t )0.025(Xt )0.025uu )0.0250.025nnnn ( , )X N2X ,X , ,X X 212n1nX X0.95Dnii1( X u, X u)(X u,X u)D.C.0.950.950.050.05nnnn( X u, X u)(X u,X u)nnnn ( , )X N2C D.有 X N X ,X , ,X ( , )2212n1n记 XX i(x)N( 0.975，ni1 0.95B( 1.96, 1.96)(X

6、0.975,X )XXB.A.C.nnnn( 0.90, 0.90 )X(X 1.28,X 1.28 )Xnnnn ( , )NX ,X , ,X X 2212n1nXX (X u,X u) n0.05n0.05nii1A.0.95B.0.900.9750.05B ( , ) ( , )X N , , ,Y N212221221212,X , ,XY ,Y , ,YX,YX X与12112n2111112nnnn(X X)SY Y)12X ，YiY ，Si212 ，222 1nnn1n 1ii22i1i1i1i12B11S2122SS2122,A.( n nSfff(n n f0.05120.

7、951211S2122SS2,B.1( n n(n n fS20.0251220.975121111S2122SS2122S2122SS2122,C.D.(n ,n )f (n ,n )f (n ,n )f (n ,n )SS0.05120.95120.025120.97512N( , ) 500 X2 A CBN(, ),X , ,XX212nX0 。CtS n B. 2 2 2200 D. C.2200 ，若用t X N( , )对2H ：01：H00 B t t t t (n (n t t (n t t (n C.D.11122100cm1.6cm，cmt 平 At t B. t t C. t t t t A.2222 X100