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# Enero10Test(2) - EXAMEN DE ESTADÍSTICA INDUSTRIAL(ING...

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Unformatted text preview: EXAMEN DE ESTADÍSTICA INDUSTRIAL (ING. INDUSTRIAL) ENERO 2010 - MODELO 1  ! !" " # a) !"   ! ! \$! %&' ( b) ! c) )% ' d) 1.2.3.4.5.6.7.8.- Series Fiabilidad TEST: SERIES TEMPORALES: *+ ! !' -' . '. "' !(" , \$ , / / / / 2# " #! 3  # 85  ! !! ;  -' ! 9\$ ' ! !! "' ! 5\$ !# !"! #! %0' , 0+ 1 !' >+  , 3 !4 5!  6 "!" !7  " !5 !9 ## 5" # 9 \$ 5 !: ! ! !! ! ! 6! !- # "!" # 5\$ <5 "2 ! <5 "2 != " ! ; #  \$! = " 5 ! \$   " 5 5 !  ! !# "! " ? = 5! ! #! \$ (  ! ARIMA Model Summary Parameter Estimate Stnd. Error t P-value ---------------------------------------------------------------------------AR(1) -0,289272 0,0671272 -4,30931 0,000026 AR(2) 0,353596 0,0670836 5,27097 0,000000 Constant -0,0230747 ---------------------------------------------------------------------------- ! ( " # 5" # !' ! ! ( " # 5" # -' ! '  \$! 25  " #! \$! " 5 " ! 5(6 # @  3 4 ! 6 ! "' ! 4 5! ( " \$ -# \$" #! !-#!  3! ! )! 9 # 5" # B + 1 2# " #! 3 !4 5!  6 "!" !7 !' ! !  !# ! !" " \$ " \$ 9 \$ " " !C ! E! - " # !C 3 -'  \$   = ## " \$ " \$  9 #! \$ " #! " !;  #! \$! !# !  ! ' !G " %*' !  !# "8 ! 9 #! G " "' !6 ) " 4 !"! ! 5\$ !# ! !68 " G 5! ( ; #! " !3  " # 5" # \$ \$  ! !" !" \$! ! ! !  !# ! ! )!"! " 4 5! " ! 6! (  < F %*' 3 #! = \$  " 5 ! #! ;G FIABILIDAD: H+ # !4 5! 9 # 5\$ " 6 "! " !" 9 !' ! ! ! " 4!## " # 5\$ -' ! ! ! " 4!## " # 5\$ ' ! ! ! " 4!## " # 5\$ "'  ! ! " 4!## I+ 1 !' 2# " #! 3 !4 5!  #! ! ! " 4!## ! 5 #!"! " " 4!## ! -' #! ! ! " 4!## ! 5 #!"! " " 4!## 3! 6! ' #! ! ! " 4!## " 5\$ ! 5 #!"! ! #@ ! ! "' ! ! " 4!## 3 ! " !\$ J+ # < !' -' ' "' 5\$  " = ! ! " 5 5 != 9 6!# ! 6 "!" !7 5\$ = 5\$  " ! \$ "!" " =  =  !-# \$! ! !!  !! ! ! " 4!## 5\$ 5\$ " 6 "! " 5\$ 3 5" # K\$ !#  6 "! 5 " ! " HLL ! C!#! #! !4 5! ( falsa ! 4 !- # "!" " # 5\$ = \$ " " 0B < ! L MH> # 5\$ !  ! ! " 4!## ! ! ! " 4!## ! 5 #!"! " # 5\$ !  t/500 # \$ "  !  ! ! " 5 5 ! N + 1 2# " #! 3 !4 5!  6 "!" !7 !' ! 4 !- # "!" " 5! =  5\$ "\$ " " - "! = 5!; ! #! 4 !- # "!" " !#9 !" 5\$ -' ! 4 !- # "!" " 5! =  5\$ "\$ " " - "! = 5  9 #! ! ! " 4!## " !#9 !" 5\$ ' ! 4 !- # "!" " 5! = " 5\$ "\$ " = " #! 4 !- # "!" " 5\$ "' ! 4 !- # "!" " 5! = " 5\$ "\$ " = 4 !- # "!" " 5\$ "8 !5 "8 !5 # \$ " # \$ "   " #! EXAMEN DE ESTADÍSTICA INDUSTRIAL (ING. INDUSTRIAL) ENERO 2010 - MODELO 2  ! !" " # a) !"   ! ! \$! %&' ( b) ! c) )% ' d) 1.2.3.4.5.6.7.8.- Series Fiabilidad TEST: SERIES TEMPORALES: *+ 1 a) b) c) d) 2# " #! 3 ! !!  # 85  ! !! ;  ! 9\$ ! 5\$ !# !4 5!  6 "!" !7 ! <5 "2 != " ! ; #  " !5 !9 ## 5" # 9 \$ 5 !: ! ! !! ! ! 6! !- # "!" # 5\$ <5 "2  \$! = " 5 ! \$   " 5 5 !  ! ! 2.- Dada la siguiente salida de STATGRAPHICS, marca la opción correcta: ARIMA Model Summary Parameter Estimate Stnd. Error t P-value ---------------------------------------------------------------------------AR(1) -0,289272 0,0671272 -4,30931 0,000026 AR(2) 0,353596 0,0670836 5,27097 0,000000 Constant -0,0230747 ---------------------------------------------------------------------------- ! ( " # 5" # !' ! -' ! 4 5! ( " \$ -# \$" ! ( " # 5" # '! "'  \$! 25  " #! \$! #! !-#!  3! ! " 5 " ! 5(6 # @  3.- La ecuación de un proceso AR(2) es: / / a) b) , , )! 9 # 5" # 3 4 ! 6 ! !" !" \$! ! c) . d) . , , / / B + 1 2# " #! 3 !4 5!  6 "!" !7 !' ! !  !# ! !" " \$ " \$ 9 \$ " " !C ! E! - " # !C 3 -'  \$   = ## " \$ " \$  9 #! \$ " #! " !;  #! \$! !# !  ! ' !6 ) " 4 !"! ! 5\$ !# ! !68 " G 5! ( ; #! " !3  " # 5" # \$ \$  "' ! G " %*' !  !# "8 ! 9 #! G " ! !  !# ! ! )!"! " 4 5! " ! 6! (  < F ;G =\$ %*' " 5 ! #! 3 #! FIABILIDAD: H+ 1 !' 2# " #! 3 !4 5!  #! ! ! " 4!## " 5\$ ! 5 #!"! ! #@ ! ! -' #! ! ! " 4!## ! 5 #!"! " " 4!## ! ' #! ! ! " 4!## ! 5 #!"! " " 4!## 3! 6! "' ! ! " 4!## 3 ! " !\$ I+ # !4 5! 9 # 5\$ " 6 "! " 9 6!# !" 9 !' ! ! ! " 4!## " # 5\$ -' ! ! ! " 4!## " # 5\$ ' ! ! ! " 4!## " # 5\$ "'  ! ! " 4!## 6 "!" !7 !=  5\$ = 5\$ " \$ "!" " 5\$  ! ! " 4!## = !-# \$! ! =  ! !!  5\$ ! " 5 5 != ! " J + 1 2# " #! 3 !4 5!  6 "!" !7 !' ! 4 !- # "!" " 5! =  5\$ "\$ " " - "! = 5!; ! #! 4 !- # "!" " !#9 !" 5\$ -' ! 4 !- # "!" " 5! =  5\$ "\$ " " - "! = 5  9 #! ! ! " 4!## " !#9 !" 5\$ ' ! 4 !- # "!" " 5! = " 5\$ "\$ " = 4 !- # "!" " 5\$ "' ! 4 !- # "!" " 5! = " 5\$ "\$ " = " #! 4 !- # "!" " 5\$ N+ # < !' -' ' "' !! "8 !5 "8 !5 # \$ " # \$ "  " #!  5\$ " 6 "! " 5\$ 3 5" # K\$ !#  6 "! 5 " ! " HLL ! C!#! #! !4 5! ( falsa ! 4 !- # "!" " # 5\$ = \$ " " 0B < ! L MH> # \$ "  !  ! ! " 5 5 ! ! ! ! " 4!## ! 5 #!"! " # 5\$ !  t/500 # 5\$ !  ! ! " 4!## ...
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