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1、正态总体均值及方差的假设检验表：单正态总体均值及方差的假设检验表(显著性水平 ) 条件原假设 H0备择假设H1检验统计量拒绝域2=2 0已知a=a0a a0001aUnx s-=N(0,1) |U|()( )1nua-a a0aa0U()()12nua-a a0aa0T()( )12nta-a a0a琪桫或( )2212nacc骣琪2 0( )( )22 ncca22 02琪桫或()22 112nacc-骣琪2 0()( )22 1ncca-22 02a2U()()11nua-a1a2a1a2T()()1222nnta+-a1a2a12 2()( )12,nnFFa2 12 22 12 2()
2、( )121,1nnFFa-2 12 22 1a2U()()11nua-a1a2a1a2T()( )12nta-a1a2a1a2T-()( )12nta-单正态总体均值及方差的区间估计(置信度 1- ) 待估参数条件检验统计量拒绝域均值 a22 0ss=已知01aUnx s-=N(0,1) ()( )()( )00 11,nnuu nnssxaxa-轾犏 -+犏臌2未知1aTSnx -=-()1nt- ()( )()( )11, 11nnSStt nnxaxa-轾犏 -+犏-臌方差2a=a0已知()( )222 02 11nin iacxcs=-?()( )()( )2200 1122, 12
3、2nnii iinnaaxxaacc=轾犏-犏犏骣骣犏-琪琪琪琪犏桫桫臌邋a 未知()2 22 12 0nnSccs-= ()()2222 11, 122nnnSnS aacc-轾犏犏犏骣骣犏-琪琪琪琪犏桫桫臌2 个正态总体均值差及方差比的区间估计(置信度 1- ) 待估参数条件检验统计量拒绝域均值 a1- a22 1，2 2已知()()1222 1212aannxhss-+N(0,1) ()22 1212unnassxh轾犏-?犏犏臌2 1=2 2未知()()121211 WaaSnnxh-+()122nnt+-()()( )122 1211 WnntSnnxha+-轾犏-?犏臌方差2 1 2 2a1，a2已知122221 211 222 12 1ni i ni inana()12,n nF()()1212,1,22n nn nFA FAaa轾骣骣犏琪琪-琪琪犏桫桫臌a1，a2未知() ()22 2111 22 122211nn Snn Sss-()121,1nnF-()()12121,11,11,122nnnnFB FBaa-轾骣骣犏琪琪-琪琪犏桫桫臌22 1122122Wn Sn SSnn+=+-，()()21212 1222 1ni i ni ina A naxx=- = -?，() ()2 1222 21111nn SBnn S-=-
