hypothestesting
TRANSCRIPT
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]YAYO]YOMAK OE@G^GEMGJysdjg}o} Yg}oeh d` @ogki Hdak Iaa
As~ok 1:+ >33?
]wnfogi Yd< I~% Fw}}a~a Ako Bjae
]wnfogi Ny< ]wkgfae Ajfgi Ako *>33:&1&91&:879/Fwjaffai Bjw~~af \aba~oa *>33:&1&91&::83/
^gjae Fgfde *>33:&1&38&?===/
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Yankg d` Mdeygey}Yankg d` Mdege} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% >
Oe~diwmode d Jysdjg}o} Yg}oeh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% =
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% =
Ewkk Jysdjg}o} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 9
Akg~eaopg Jysdjg}o} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 9
Yg} ]ao}om %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 7
M~oomak Pakwg*}/ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 7
M~oomak ghode %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 7
]oheo`omaemg Kgpgk %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 7
Deg&}oigi Yg} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 7
Yxd&]oigi Yg} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 8
Yg}oeh d` Jysdjg}o} *^gak Gzafskg/ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ?
Iaa Ig}m~osode %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ?
Jysdjg}o} d` Iaa %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 13
Aeaky}o} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 13
Mdemkw}ode %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 1>
Assgeioz ]afskg Iaa %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 1=
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Oey~diwmyode yd Jsdyjg}o} Yg}yoeh
Yjg na}om oiga d` jysdjg}o} g}oeh o} d gzafoeg jg S~dnanokoy ja jg ~g}wk d` a}wiy mdwki japg ngge dnaoegi gpge o` jg amwak }owaode xa} ja jggzsg~ofgeak ~gafge d~ mdfsa~o}de faig ed io``g~gemg% ]goeh ws aei g}oehjysdjg}g} o} ae g}}geoak sa~ d` }ao}omak oe`g~gemg% Oe d~ig~ d `d~fwkag }wmj ag}+ w}wakky }dfg jgd~y ja} ngge sw `d~xa~i+ gojg~ ngmaw}g o o} ngkogpgi d ng~wg d~ ngmaw}g o o} d ng w}gi a} a na}o} `d~ a~hwfge+ nw ja} ed ngge s~dpgi+`d~ gzafskg+ mkaofoeh ja a egx i~wh o} ngg~ jae jg mw~~ge i~wh `d~ ~gafged` jg }afg }yfsdf}%
Oe gamj s~dnkgf mde}oig~gi+ jg qwg}ode d` oeg~g} o} }ofsko ogi oed xdmdfsgoeh mkaof} $ jysdjg}g} ngxgge xjomj xg japg a mjdomg2 jg ewkkjysdjg}o}+ igedgi J3+ ahaoe} jg akg~eaopg jysdjg}o}+ igedgi J1% Yjg}g xdmdfsgoeh mkaof} $ jysdjg}g} a~g ed jdxgpg~ ~gagi de ae gqwak na}o}< }sgmoakmde}oig~aode o} hopge d jg ewkk jysdjg}o}%
Xg japg xd mdffde }owaode}% O` deg d` jg xd jysdjg}g} o} (}ofskg~( xg hopg o s~od~oy }d ja a fd~g(mdfskomagi( jgd~y o} ed aidsgi wekg}} jg~g o} }w``omoge gpoigemg ahaoe}jg }ofskg~ deg% @d~ gzafskg+ o o} (}ofskg~( d mkaof ja jg~g o} edio``g~gemg oe `kapd~ ngxgge mdbg aei iog mdbg jae o o} d }ay ja jg~g o}a io``g~gemg%
Yjg jysdjg}g} a~g d`ge }agfge} andw sdswkaode sa~afgg~} kobg gzsgmgipakwg aei pa~oaemg2 `d~ gzafskg J3 fohj ng ja jg gzsgmgi pakwg d` jg jgohjd` ge yga~ dki ndy} oe jg ]mdo}j sdswkaode o} ed io``g~ge `~df ja d` ge yga~dki ho~k}% A jysdjg}o} fohj ak}d ng a }agfge andw jg io}~onwodeak `d~f d` amja~amg~o}om d` oeg~g}+ `d~ gzafskg ja jg jgohj d` ge yga~ dki ndy} o}ed~fakky io}~onwgi xojoe jg ]mdo}j sdswkaode%
Yjg dwmdfg d` a jysdjg}o} g} o} .^glgm J3 oe `apd~ d` J1. d~ .Id ed ~glgm J3.%
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Ewkk Jsdyjg}o}
Yjg ewkk jysdjg}o}+ J3+ ~gs~g}ge} a jgd~y ja ja} ngge sw `d~xa~i+ gojg~ngmaw}g o o} ngkogpgi d ng ~wg d~ ngmaw}g o o} d ng w}gi a} a na}o} `d~ a~hwfge+
nw ja} ed ngge s~dpgi% @d~ gzafskg+ oe a mkoeomak ~oak d` a egx i~wh+ jg ewkkjysdjg}o} fohj ng ja jg egx i~wh o} ed ngg~+ de apg~ahg+ jae jg mw~~gei~wh% Xg xdwki x~og
J3< jg~g o} ed io``g~gemg ngxgge jg xd i~wh} de apg~ahg%
Xg hopg }sgmoak mde}oig~aode d jg ewkk jysdjg}o}% Yjo} o} iwg d jg `am ja jgewkk jysdjg}o} ~gkag} d jg }agfge ngoeh g}gi+ xjg~ga} jg akg~eaopgjysdjg}o} ~gkag} d jg }agfge d ng ammgsgi o` $ xjge jg ewkk o} ~glgmgi%
Yjg `oeak mdemkw}ode demg jg g} ja} ngge ma~~ogi dw o} akxay} hopge oe g~f} d`jg ewkk jysdjg}o}% Xg gojg~ .^glgm J3 oe `apdw~ d` J1. d~ .Id ed ~glgm J3.2 xg
egpg~mdemkwig .^glgm J1.+ d~ gpge .Ammgs J1.%
O` xg mdemkwig .Id ed ~glgm J3.+ jo} idg} ed egmg}}a~oky fgae ja jg ewkkjysdjg}o} o} ~wg+ o deky }whhg}} ja jg~g o} ed }w``omoge gpoigemg ahaoe} J3 oe`apdw~ d` J1% ^glgmoeh jg ewkk jysdjg}o} jge+ }whhg}} ja jg akg~eaopgjysdjg}o} fayng ~wg%
Akyg~eayopg Jsdyjg}o}Yjg akg~eaopg jysdjg}o}+ J1+ o} a }agfge d` xja a }ao}omak jysdjg}o} g} o}
}g ws d g}anko}j% @d~ gzafskg+ oe a mkoeomak ~oak d` a egx i~wh+ jg akg~eaopgjysdjg}o} fohj ng ja jg egx i~wh ja} a io``g~ge g``gm+ de apg~ahg+ mdfsa~gid ja d` jg mw~~ge i~wh% Xg xdwki x~og
J1< jg xd i~wh} japg io``g~ge g``gm}+ de apg~ahg%
Yjg akg~eaopg jysdjg}o} fohj ak}d ng ja jg egx i~wh o} ngg~+ de apg~ahg+jae jg mw~~ge i~wh% Oe jo} ma}g xg xdwki x~og
J1< jg egx i~wh o} ngg~ jae jg mw~~ge i~wh+ de apg~ahg%
Yjg `oeak mdemkw}ode demg jg g} ja} ngge ma~~ogi dw o} akxay} hopge oe g~f} d`
jg ewkk jysdjg}o}% Xg gojg~ .^glgm J3 oe `apd~ d` J1. d~ .Id ed ~glgm J3.% Xgegpg~ mdemkwig .^glgm J1.+ d~ gpge .Ammgs J1.%
O` xg mdemkwig .Id ed ~glgm J3.+ jo} idg} ed egmg}}a~oky fgae ja jg ewkkjysdjg}o} o} ~wg+ o deky }whhg}} ja jg~g o} ed }w``omoge gpoigemg ahaoe} J3 oe`apd~ d` J1% ^glgmoeh jg ewkk jysdjg}o} jge+ }whhg}} ja jg akg~eaopgjysdjg}o} fayng ~wg%
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Yg}y ]yayo}yom
A g} }ao}om o} a qwaeoy makmwkagi `~df dw~ }afskg d` iaa% O} pakwg o} w}gi digmoig xjgjg~ d~ ed jg ewkk jysdjg}o} }jdwki ng ~glgmgi oe dw~ jysdjg}o} g}%Yjg mjdomg d` a g} }ao}om xokk igsgei de jg a}}wfgi s~dnanokoy fdigk aei jgjysdjg}g} weig~ qwg}ode%
M~oyomak Pakwg*}/
Yjg m~oomak pakwg*}/ `d~ a jysdjg}o} g} o} a j~g}jdki d xjomj jg pakwg d` jgg} }ao}om oe a }afskg o} mdfsa~gi d igg~foeg xjgjg~ d~ ed jg ewkkjysdjg}o} o} ~glgmgi%Yjg m~oomak pakwg `d~ aey jysdjg}o} g} igsgei} de jg
}oheo`omaemg kgpgk a xjomj jg g} o} ma~~ogi dw+ aei xjgjg~ jg g} o} deg&}oigid~ xd&}oigi%
M~oyomak ^ghode
Yjg m~oomak ~ghode M^+ d~ ~glgmode ~ghode ^^+ o} a }g d` pakwg} d` jg g} }ao}om`d~ xjomj jg ewkk jysdjg}o} o} ~glgmgi oe a jysdjg}o} g}% Yja o}+ jg }afskg}samg `d~ jg g} }ao}om o} sa~oodegi oed xd ~ghode}2 deg ~ghode *jg m~oomak~ghode/ xokk kgai w} d ~glgm jg ewkk jysdjg}o} J 3+ jg djg~ xokk ed% ]d+ o` jgdn}g~pgi pakwg d` jg g} }ao}om o} a fgfng~ d` jg m~oomak ~ghode+ xg mdemkwig.^glgm J3.2 o` o o} ed a fgfng~ d` jg m~oomak ~ghode jge xg mdemkwig .Id ed~glgm J3.%
]oheo`omaemg Kgpgk
Yjg }oheo`omaemg kgpgk d` a }ao}omak jysdjg}o} g} o} a `ozgi s~dnanokoy d` x~dehky~glgmoeh jg ewkk jysdjg}o} J3+ o` o o} oe `am ~wg%
O o} jg s~dnanokoy d` a Yysg O g~~d~ aei o} }g ny jg oepg}ohad~ oe ~gkaode d jgmde}gqwgemg} d` }wmj ae g~~d~% Yja o}+ xg xae d fabg jg }oheo`omaemg kgpgk a}}fakk a} sd}}onkg oe d~ig~ d s~dgm jg ewkk jysdjg}o} aei d s~gpge+ a} `a~ a}sd}}onkg+ jg oepg}ohad~ ~df oeaipg~geky faboeh ak}g mkaof}%
Yjg }oheo`omaemg kgpgk o} w}wakky igedgi ny ]oheo`omaemg Kgpgk 6 S*Yysg O g~~d~/ 6
W}wakky+ jg }oheo`omaemg kgpgk o} mjd}ge d ng 3%37 *d~ gqwopakgeky+ 7'/%
Deg&}oigi Yg}y
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A deg&}oigi g} o} a }ao}omak jysdjg}o} g} oe xjomj jg pakwg} `d~ xjomj xg mae~glgm jg ewkk jysdjg}o}+ J3 a~g kdmagi geo~gky oe deg aok d` jg s~dnanokoyio}~onwode%
Oe djg~ xd~i}+ jg m~oomak ~ghode `d~ a deg&}oigi g} o} jg }g d` pakwg} kg}} jaejg m~oomak pakwg d` jg g}+ d~ jg }g d` pakwg} h~gag~ jae jg m~oomak pakwg d`jg g}%
A deg&}oigi g} o} ak}d ~g`g~~gi d a} a deg&aokgi g} d` }oheo`omaemg%
Yjg mjdomg ngxgge a deg&}oigi aei a xd&}oigi g} o} igg~foegi ny jg sw~sd}gd` jg oepg}ohaode d~ s~od~ ~ga}de} `d~ w}oeh a deg&}oigi g}%
Gzafskg ]wssd}g xg xaegi d g} a faew`amw~g~} mkaof ja jg~g a~g+ deapg~ahg+ 73 famjg} oe a ndz% Xg mdwki }g ws jg `dkkdxoeh jysdjg}g}
J3< 6 73+J1< ; 73 d~ J1< 5 73
@ohw~g 1< Kg`y Yaokgi @ohw~g 1< ^ohjy Yaokgi
Gojg~ d` jg}g xd akg~eaopg jysdjg}g} xdwki kgai d a deg&}oigi g}%S~g}wfanky+ xg xdwki xae d g} jg ewkk jysdjg}o} ahaoe} jg `o~} akg~eaopgjysdjg}o} }oemg o xdwki ng w}g`wk d bedx o` jg~g o} kobgky d ng kg}} jae 73famjg}+ de apg~ahg+ oe a ndz *ed deg xdwki mdfskaoe o` jgy hg jg md~~gm
ewfng~ d` famjg} oe a ndz d~ fd~g/%_g aedjg~ akg~eaopg jysdjg}o} mdwki ng g}gi ahaoe} jg }afg ewkk+ kgaioehjo} ofg d a xd&}oigi g}< Yxd Yaokgi Yg}y
Gojg~ d` jg}g xd akg~eaopg jysdjg}g} xdwki kgai d a deg&}oigi g}%
S~g}wfanky+ xg xdwki xae d g} jg ewkk jysdjg}o} ahaoe} jg `o~} akg~eaopgjysdjg}o} }oemg o xdwki ng w}g`wk d bedx o` jg~g o} kobgky d ng kg}} jae 73famjg}+ de apg~ahg+ oe a ndz *ed deg xdwki mdfskaoe o` jgy hg jg md~~gmewfng~ d` famjg} oe a ndz d~ fd~g/%_g aedjg~ akg~eaopg jysdjg}o} mdwki ng g}gi ahaoe} jg }afg ewkk+ kgaioehjo} ofg d a xd&}oigi g}% ]aiowf & Yysg d` }aiowf2 D6Dw}oig+ I6Idfg=% ]w~`amg & Yysg d` skayoeh }w~`amg2 Y6A~o`omoak Yw~`+ H6H~a}}9% Bombg~ & Eafg d` `ogki hdak bombg~7% ]wmmg}} & ]wmmg}} d` jg `ogki hdak2 _6_g}+ E6Ed0% Io}aemg & Io}aemg oe ya~i} d` jg `ogki hdak8% Sdswkaode Fgae */ & =7
:% ]aeia~i Igpoaode o} Webedxe */
W}oeh jg }afskg iaa oe Assgeioz xg makmwkagi jg pakwg d` @*A/ `d~ gamj io}aemg*A/ w}oeh jg ngkdx Gzmgk `d~fwka
6ED^FIO]Y*A+;fgae5+;}aeia~i igpoaode5+@AK]G/
Yjg `dkkdxoeh skd o} i~axe w}oeh andpg makmwkagi iaa+ ak}d }jdxe oe Assgeioz
@ohw~g =< Ed~fak Io}y~onwyode d` @ogki Hdak Iaya
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Jsdyjg}o} d` Iaya
Ewkk Jysdjg}o} J3< 6 =7Akg~eaopg Jysdjg}o} J1< =7
Aeak}o}Kg Io}aemg oe ya~i} d` jg `ogki hdak ng jg pa~oankg A
Ed% d` @ogki Hdak} oe ]afskg+ e 6 =??
]afskg Fgae
6 A $ e
6 199?3 $ =??
6 =0%=17:
]afskg ]yaeia~i Igpoayode
W}oeh @d~fwka oe Gzmgk
6]YIGPS* ;Iaa ^aehg5/
] 6 13%10?:
Mde`oigemg Oeyg~pak
Xg a~g g}oeh na}gi de 7' }oheo`omaemg kgpgk jg~g`d~g jg mde`oigemg oeg~pak xokkng ?7'
6 3%37
1 6 1 3%37
1 6 3%?7
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M~oyomak Pakwg}
A} dw~ akg~eaopg jysdjg}o} o} J1< =7 jg~g`d~g dw~ ma}g mde}o}} d` xd&aokgi g}% @dkkdxoeh ohw~g okkw}~ag} jg oiga
@ohw~g 9< M~oyomak Pakwg}
\&]md~g *Yanwkaygi/
W}oeh jg Ed~fak Io}~onwode Yankg
\an 6 " \3%3>7
" \3%3>7 6 " 1%?0
Yg}y ]yayo}yom
A} o} webedxe aei e 5 =3+ xg mae w}g |&g} xoj }afskg }aeia~i igpoaode }%
W}oeh jg ngkdx `d~fwka
\Makm 6 *=0%=17: =7/ $ *13%10?:$ =??/
\Makm 6>%7:99
W}oeh jg }afskg iaa oe Assgeioz xg makmwkagi jg pakwg d` \ `d~ gamj io}aemg*A/ w}oeh jg ngkdx `d~fwka
|6 *z& /$}
Yjg `dkkdxoeh skd o} i~axe w}oeh andpg makmwkagi iaa+ ak}d }jdxe oe Assgeioz
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@ohw~g 7< \& Io}y~onwyode d` @ogki hdak Iaya
]oemg {\Makm{5 { \an { ^glgmyJ3
Mdemkw}ode
A 7' }oheo`omaemg kgpgk jg iaa id s~dpoig }w``omoge gpoigemg d mdemkwig jaIo}aemg oe ya~i} d` jg `ogki hdak d` a ~aeidf }afskg d` =?? `ogki hdak} agfsgiiw~oeh jg 1??7 E@K ~ghwka~ }ga}de o} ed gqwak d =7 ya~i}%
>%7:
Yg}y ]yayo}yom
^glgmode ^ghode
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Assgeioz ]afskg Iaya
]- Iayg
]yaiowf ]w~`amg Bombg~ ]wmmg}}
Io}yaemg @*A/ \
1 ?>7?7 I Y JAE]DE _ 1:3%33889
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0 ?18?7 I Y AEIG^]GE _ 1?3%33?>3
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8 ?>9?7 D Y HTIAPO] _ 1?3%33?>3
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: 133:?7 D H ETLDJE]E _ 1?3%33?>3
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11 11>0?7 D H JW]YGI _ 1?
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1> 1>18?7 I Y SGYG^]DE _ 1?3%33?>3
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1= ?13?7 D Y MD@G^ _ >33%313:=
1=
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30
19 ?13?7 D H ]YDPG^ _ >33%313:=
1=
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30
17 ?11?7 D H NWYKG^ _ >33%313:=
1=
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30
10 ?18?7 I Y NDEODK E >33%313:=
1=
&1%989?0
30
18 ?18?7 D H GKAF _ >33%313:=
1=
&1%989?0
30
1: 1331?7 I Y SGYG^]DE _ >33%313:=
1=
&1%989?0
30
1? 1317?7 D H LAMBG _ >33%313:=
1=
&1%989?0
30>3 1317?7 D H NAJ^ _ >3 3%313:=
1=&
1%989?0
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30
>1 1317?7 D Y IAKWO]D _ >33%313:=
1=
&1%989?0
30
>> 13>??7 I Y LAMBG _ >33%313:=
1=
&1%989?0
30
>= 13>??7 D Y AEIG^]DE _ >33%313:=
1=
&1%989?0
30
>9 111??7 I Y ^GPGO\ _ >33%313:=
1=
&1%989?0
30
>7 1>18?7 D Y MJ^O]YOG _ >33%313:=
1=
&1%989?0
30
>0 1>>9?7 D Y ^GPGO\ _ >33%313:=
1=
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30
>8 1>>9?7 D H GKKODYY _ >33%313:=
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30
>: ?3=?7 D Y AEIG^]DE _ >1
3%31>0>
1
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1
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=3 ?13?7 D H HTIAPO] _ >13%31>0>
1
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=1 ?13?7 D H FW^^A_ _ >13%31>0>
1
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=> ?18?7 I Y AEIG^]GE _ >13%31>0>
1
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== ?18?7 I Y JAE]DE _ >13%31>0>
1
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=9 1331?7 D Y ]YD_AEDP _ >13%31>0>
1
&1%=800>
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=7 133:?7 D H BA]A_ _ >13%31>0>
1
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=0 1317?7 D Y IAKWO]D _ >13%31>0>
1
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=8 1>13?7 D Y NDEODK _ >13%31>0>
1
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=: ?3=?7 D H FW^^A_ _ >>3%31970
9?
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=? ?13?7 D H ]YD_AEDP _ >> 3%319709?
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93 ?18?7 D H NWYKG^ _ >>3%31970
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91 133:?7 D H ETLDJE]E _ >>3%31970
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9> 133:?7 I Y ]YDPG^ _ >>3%31970
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9= 13>??7 D H ]YD_AEDP _ >>3%31970
9?
&1%>8:>?
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99 111??7 D H JDKKO] _ >>3%31970
9?
&1%>8:>?
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97 ?13?7 D H GKKODYY _ >=
3%31009
07
&1%18??0
:7
90 ?13?7 D H IAKWO]D _ >=3%31009
07
&1%18??0
:7
98 ?13?7 D H ]YDPG^ _ >=3%31009
07
&1%18??0
:7
9: ?>9?7 D H GKAF _ >=3%31009
07
&1%18??0
:7
9? 1331?7 I Y GKAF E >=3%31009
07
&1%18??0
:7
73 1331?7 D H NDEODK _ >=3%31009
07
&1%18??0
:7
71 133:?7 D Y HTIAPO] _ >=3%31009
07
&1%18??0:7
7> 1317?7 D H ^GPGO\ _ >=3%31009
07
&1%18??0
:7
7= 1317?7 D H BA]A_ _ >=3%31009
07
&1%18??0
:7
79 131??7 D Y SGK@^G_ _ >=3%31009
07
&1%18??0
:7
77 13>=?7 D H MJ^O]YOG _ >=3%31009
07
&1%18??0
:7
70 1137?7 I Y MJ^O]YOG _ >= 3%3100907
&
1%18??0:7
78 1137?7 I Y SGYG^]DE _ >=3%31009
07
&1%18??0
:7
7: 111>?7 I Y IGKH^GMD _ >=3%31009
07
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:7
7? 111>?7 D Y MJ^O]YOG _ >=3%31009
07
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03 11>0?7 D H HTIAPO] _ >=3%31009
07
&1%18??0
:7
01 1>3=?7 D H MJ^O]YOG _ >=
3%31009
07
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:7
0> 1>18?7 D H NWYKG^ _ >=3%31009
07
&1%18??0
:7
0= 1>18?7 D Y NDEODK _ >=3%31009
07
&1%18??0
:7
09 1>>9?7 D Y N^OGE _ >=3%31009
07
&1%18??0
:707 13>=?7 D H NAJ^ _ >9 3%31::9
>7&
1%3:10=
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8:
00 1137?7 D H ETLDJE]E _ >93%31::9
>7
&1%3:10=
8:
08 1>18?7 D Y MJ^O]YOG _ >93%31::9
>7
&1%3:10=
8:
0: ?18?7 I Y HTIAPO] _ >73%3>11>
>?
&3%?:==3
81
0? ?>9?7 D H GKKODYY _ >73%3>11>
>?
&3%?:==3
81
83 ?>9?7 D Y FMKAWHKO _ >73%3>11>
>?
&3%?:==3
81
81 13>??7 D Y ]YDPG^ _ >73%3>11>
>?
&3%?:==3
81
8> 111>?7 D H SGYG^]DE _ >73%3>11>
>?
&3%?:==3
81
8= 111??7 D H JAE]DE _ >7
3%3>11>
>?
&3%?:==3
81
89 1>18?7 I Y NOA]WMMO _ >73%3>11>
>?
&3%?:==3
81
87 1>18?7 D Y MJ^O]YOG _ >73%3>11>
>?
&3%?:==3
81
80 1>>9?7 D Y ^GPGO\ E >73%3>11>
>?
&3%?:==3
81
88 1>>9?7 D H ETLDJE]E _ >73%3>11>
>?
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81
8: 1331?7 D Y @D^I _ >03%3>=97
17
&3%::9?8
0=
8? 1317?7 D Y MJ^O]YOG _ >03%3>=97
17
&3%::9?8
0=
:3 111>?7 D Y XOKBOE] _ >03%3>=97
17
&3%::9?8
0=
:1 1>18?7 D H NWYKG^ E >03%3>=97
17
&3%::9?8
0=
:> ?3=?7 I Y AEIG^]GE _ >83%3>78:
0=
&3%8:009
70
:= ?13?7 I Y ^GPGO\ _ >83%3>78:
0=
&3%8:009
70
:9 133:?7 D H ]YD_AEDP E >8 3%3>78:0=
&
3%8:00970
:7 133:?7 D H JW]YGI _ >83%3>78:
0=
&3%8:009
70
:0 133:?7 D H NKAEMJA^ _ >83%3>78:
0=
&3%8:009
70
:8 13>>?7 I Y SGYG^]DE _ >83%3>78:
0=
&3%8:009
70
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:: 13>??7 D H FW^^A_ _ >83%3>78:
0=
&3%8:009
70
:? 1137?7 D H NWYKG^ _ >83%3>78:
0=
&3%8:009
70
?3 111>?7 I Y SGK@^G_ _ >8
3%3>78:
0=
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70
?1 111??7 D Y SGK@^G_ _ >83%3>78:
0=
&3%8:009
70
?> 11>0?7 D H ETLDJE]E _ >83%3>78:
0=
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70
?= 1>13?7 D Y NWYKG^ _ >83%3>78:
0=
&3%8:009
70
?9 1>>=?7 D H JW]YGI _ >83%3>78:
0=
&3%8:009
70
?7 1331?7 D H GKKODYY _ >:3%3>:3:
38
&3%0::=1
9?
?0 1331?7 D Y MA^EG_ _ >:3%3>:3:
38
&3%0::=19?
?8 133??7 D H MA^EG_ _ >:3%3>:3:
38
&3%0::=1
9?
?: 1137?7 D Y SGK@^G_ _ >:3%3>:3:
38
&3%0::=1
9?
?? 111??7 D H ]YDPG^ _ >:3%3>:3:
38
&3%0::=1
9?
133 11>0?7 D H HTIAPO] _ >:
3%3>:3:38
&3%0::=1
9?
131 1>3=?7 D H SGK@^G_ _ >: 3%3>:3:38
&
3%0::=19?
13> 1>3??7 I Y ^GPGO\ _ >:
3%3>:3:38
&3%0::=1
9?
13= 1>13?7 I Y NOA]WMMO _ >:
3%3>:3:38
&3%0::=1
9?
139 1>>9?7 D H NWYKG^ _ >:
3%3>:3:38
&3%0::=1
9?
137 ?13?7 D H HTIAPO] _ >?
3%3=3>:7
&3%7:??:
9>
13
0 1331?7 D Y @D^I _ >?
3%3=3>:
7
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9>13
8 1331?7 I Y IGKH^GMD _ >?3%3=3>:
7
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9>
13: 133??7 D H MA^EG_ _ >?
3%3=3>:7
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9>
13? 1317?7 I Y KDJFOKKG E >?
3%3=3>:7
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9>11
313>??7 D H BA]A_ _ >? 3%3=3>:
7&
3%7:??:
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9>
111 1137?7 D Y NAJ^ _ >?
3%3=3>:7
&3%7:??:
9>
11> 1137?7 D H FW^^A_ _ >?
3%3=3>:7
&3%7:??:
9>
11= 111>?7 D H ]YD_AEDP E >?
3%3=3>:7
&3%7:??:
9>
119 111=?7 D Y ]YDPG^ _ >?
3%3=3>:7
&3%7:??:
9>
117 1>13?7 D H GKAF _ >?
3%3=3>:7
&3%7:??:
9>
110 1331?7 I Y GKAF _ =3
3%3=>=9:1
&3%9?107
=7
118 1317?7 D H NDEODK _ =3
3%3=>=9:1
&3%9?107
=7
11
: 1310?7 D H GKAF _ =3
3%3=>=9
:1
&3%9?107
=7
11? 111??7 D Y KDXG^_ _ =3
3%3=>=9:1
&3%9?107
=7
1>3 11>8?7 D H LAGHG^ _ =3
3%3=>=9:1
&3%9?107
=7
1>1 1>13?7 D Y FW^^A_ _ =3
3%3=>=9:1
&3%9?107
=7
1>> 1>18?7 D Y ]YD_AEDP _ =3
3%3=>=9:1
&3%9?107
=7
1>= 1>>=?7 D Y IAKWO]D _ =3
3%3=>=9:1
&3%9?107
=7
1>9 ?>9?7 D Y HTIAPO] _ =1
3%3=9>1?>
&3%=?==>
>:
1>7 1331?7 I Y AEIG^]GE _ =1
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>:
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>:
1>8 1>13?7 D H NAJ^ _ =1
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>:
1>: ?3=?7 I Y SGK@^G_ _ =>
3%3=7:73=
&3%>?9??
>1
1>? ?13?7 D Y BA]A_ E => 3%3=7:73=
&
3%>?9??>1
1=3 ?13?7 D Y BA]A_ _ =>
3%3=7:73=
&3%>?9??
>1
1=1 ?11?7 D H JGEY^OMJ _ =>
3%3=7:73=
&3%>?9??
>1
1=> ?18?7 D H IAKWO]D _ =>
3%3=7:73=
&3%>?9??
>1
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1== 1331?7 D H NDEODK _ =>
3%3=7:73=
&3%>?9??
>1
1=9 1331?7 D H IAKWO]D _ =>
3%3=7:73=
&3%>?9??
>1
1=
7 133:?7 D Y MJ^O]YOG _ =>
3%3=7:7
3=
&3%>?9??
>1
1=0 1310?7 D H GKAF _ =>
3%3=7:73=
&3%>?9??
>1
1=8 13>??7 D Y FMKAWHKO E =>
3%3=7:73=
&3%>?9??
>1
1=: 1137?7 D H \GEIGLA] E =>
3%3=7:73=
&3%>?9??
>1
1=? 1137?7 I Y AEIG^]GE _ =>
3%3=7:73=
&3%>?9??
>1
193 111>?7 D H ^GPGO\ E =>
3%3=7:73=
&3%>?9??
>1
191 111>?7 D Y IAKWO]D _ =>
3%3=7:73=
&3%>?9??>1
19> 111>?7 D Y IAKWO]D _ =>
3%3=7:73=
&3%>?9??
>1
19= 111??7 D H GKAF _ =>
3%3=7:73=
&3%>?9??
>1
199 111??7 D H MA^EG_ _ =>
3%3=7:73=
&3%>?9??
>1
197 1>3=?7 I Y AEIG^]DE E =>
3%3=7:73=
&3%>?9??
>1
190 1>>9?7 I Y XOKBOE] _ => 3%3=7:73=
&
3%>?9??>1
198 1>>9?7 D Y N^OGE _ =>
3%3=7:73=
&3%>?9??
>1
19: ?13?7 I Y JAE]DE _ ==
3%3=81?80
&3%1?000
19
19? ?>9?7 D Y ^GPGO\ _ ==
3%3=81?80
&3%1?000
19
173 1331?7 D Y KDXG^_ _ ==
3%3=81?80
&3%1?000
19
17
1 133>?7 D H MJ^O]YOG _ ==
3%3=81?
80
&3%1?000
1917
> 133:?7 D Y KDXG^_ E ==3%3=81?
80
&3%1?000
19
17= 1310?7 D H GKAF _ ==
3%3=81?80
&3%1?000
19
179 13>??7 D H ]YD_AEDP _ ==
3%3=81?80
&3%1?000
1917
71137?7 D H MA^EG_ _ == 3%3=81?
80&
3%1?000
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19
170 111??7 D H JW]YGI _ ==
3%3=81?80
&3%1?000
19
178 11>0?7 D H ETLDJE]E _ ==
3%3=81?80
&3%1?000
19
17: 1>13?7 D H KDXG^_ E ==
3%3=81?80
&3%1?000
19
17? 1>11?7 D H ]YD_AEDP _ ==
3%3=81?80
&3%1?000
19
103 1>18?7 I Y MA^EG_ _ ==
3%3=81?80
&3%1?000
19
101 1>>9?7 D Y IGKH^GMD _ ==
3%3=81?80
&3%1?000
19
10> 1>>9?7 D H ETLDJE]E _ ==
3%3=81?80
&3%1?000
19
10
= 1>>9?7 I Y ]YD_AEDP _ ==
3%3=81?
80
&3%1?000
19
109 ?18?7 D H FMKAWHKO _ =9
3%3=:>>9=
&3%3?:==
38
107 ?18?7 D Y JDKKO] _ =9
3%3=:>>9=
&3%3?:==
38
100 1331?7 D H NDEODK _ =9
3%3=:>>9=
&3%3?:==
38
108 111>?7 I Y IGKH^GMD _ =9
3%3=:>>9=
&3%3?:==
38
10: 111>?7 D H GKKODYY _ =9
3%3=:>>9=
&3%3?:==
38
10? 111>?7 I Y JW]YGI _ =9
3%3=:>>9=
&3%3?:==
38
183 111>?7 I Y IGKH^GMD _ =9
3%3=:>>9=
&3%3?:==
38
181 111=?7 D Y ETLDJE]E _ =9
3%3=:>>9=
&3%3?:==
38
18> 11>0?7 D Y NWYKG^ _ =9
3%3=:>>9=
&3%3?:==
38
18= 1>3=?7 D Y KDXG^_ _ =9
3%3=:>>9=
&3%3?:==
38
189 1>>9?7 D H SGYG^]DE _ =9 3%3=:>>9=
&
3%3?:==3818
7 ?18?7 D Y MJ^O]YOG _ =73%3=:?3
1= 318
0 ?18?7 D Y MA^EG_ _ =73%3=:?3
1= 318
8 ?>9?7 D Y ETLDJE]E _ =73%3=:?3
1= 318
: 1331?7 D Y ]YD_AEDP _ =73%3=:?3
1= 318 13>>?7 D H NWYKG^ _ =7 3%3=:?3 3
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? 1=1:
3 1137?7 I Y N^OGE _ =73%3=:?3
1= 31:
1 111??7 D H GKAF _ =73%3=:?3
1= 31:
> 111??7 D Y KDXG^_ _ =73%3=:?3
1= 31:
= 1>13?7 D H NAJ^ E =73%3=:?3
1= 31:
9 1>18?7 D Y HTIAPO] _ =73%3=:?3
1= 31:
7 1>>=?7 I Y NKAEMJA^ E =73%3=:?3
1= 31:
0 ?3=?7 D H JDKKO] E =03%3=?>3
?93%3?:==
381:
8 ?3=?7 D H FW^^A_ _ =03%3=?>3
?93%3?:==
381:
: ?13?7 D Y MD@G^ E =03%3=?>3
?93%3?:==
381:
? ?>9?7 I Y AEIG^]GE _ =03%3=?>3
?93%3?:==
381?
3 1331?7 I Y AEIG^]DE _ =03%3=?>3
?93%3?:==
381?
1 133:?7 D Y FW^^A_ _ =03%3=?>3
?93%3?:==
381?
> 1317?7 D H JW]YGI _ =03%3=?>3
?93%3?:==
381?
= 13>>?7 D H ]YDPG^ _ =03%3=?>3
?93%3?:==
381?
9 111??7 D H NKAEMJA^ _ =03%3=?>3
?93%3?:==
381?
7 1>3??7 D H HTIAPO] _ =03%3=?>3
?93%3?:==
381?
0 1>13?7 D H SGYG^]DE _ =03%3=?>3
?93%3?:==
381?
8 1>13?7 I Y JAE]DE _ =03%3=?>3
?93%3?:==
381?
: 1>18?7 I Y NKAEMJA^ _ =03%3=?>3
?93%3?:==
381?
? 1137?7 D Y LAGHG^ _ =83%3=?1=
?03%1?000
19>3
3 1130?7 D Y AEIG^]DE _ =83%3=?1=
?03%1?000
19>3
1 111>?7 D Y NDEODK _ =83%3=?1=
?03%1?000
19>3
> 111??7 D H BA]A_ E =83%3=?1=
?03%1?000
19>3
= 111??7 I Y ^GPGO\ _ =83%3=?1=
?03%1?000
19>3
9 1>3??7 D H HTIAPO] E =83%3=?1=
?03%1?000
19>3
7 1>13?7 I Y NOA]WMMO _ =83%3=?1=
?03%1?000
19>3
0 1>18?7 D H GKKODYY E =83%3=?1=
?03%1?000
19>3
8 1>18?7 D Y HTIAPO] _ =83%3=?1=
?03%1?000
19>3
: 1>18?7 D H ]YDPG^ _ =83%3=?1=
?03%1?000
19>3
? 1>18?7 D Y HTIAPO] _ =83%3=?1=
?03%1?000
19>1
3 ?3=?7 D H GKAF _ =:3%3=:0?
93%>?9??
>1>1
1 ?18?7 D H JGEY^OMJ E =:3%3=:0?
93%>?9??
>1>1
> ?18?7 I Y SGK@^G_ E =:3%3=:0?
93%>?9??
>1
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>1= ?>7?7 I Y JAE]DE _ =:
3%3=:0?9
3%>?9??>1
>19 133:?7 D Y MJ^O]YOG _ =:
3%3=:0?9
3%>?9??>1
>17 131??7 D Y ETLDJE]E _ =:
3%3=:0?9
3%>?9??>1
>10 13>??7 D H BA]A_ E =:
3%3=:0?9
3%>?9??>1
>18 13>??7 I Y JAE]DE _ =:
3%3=:0?9
3%>?9??>1
>1: 111>?7 D Y MJ^O]YOG _ =:
3%3=:0?9
3%>?9??>1
>1? 111=?7 D Y ETLDJE]E _ =:
3%3=:0?9
3%>?9??>1
>>3 11>=?7 I Y ^GPGO\ E =:
3%3=:0?9
3%>?9??>1
>>1 11>0?7 I Y KDXG^_ _ =:
3%3=:0?9
3%>?9??>1
>>> 1>13?7 D H JW]YGI _ =:
3%3=:0?9
3%>?9??>1
>>= 1>13?7 D Y AEIG^]DE _ =:
3%3=:0?9
3%>?9??>1
>>9 1>18?7 I Y JAE]DE _ =:
3%3=:0?9
3%>?9??>1
>>7 1>18?7 I Y SGYG^]DE _ =:
3%3=:0?9
3%>?9??>1
>>0 1>>9?7 I Y NOA]WMMO _ =:
3%3=:0?9
3%>?9??>1
>>8 ?3=?7 D Y ETLDJE]E _ =?
3%3=8::79
3%=?==>>:
>>: ?13?7 D Y MJ^O]YOG _ =?
3%3=8::79
3%=?==>>:
>>? ?18?7 D Y MD@G^ E =?
3%3=8::79
3%=?==>>:
>=3 ?18?7 D H FMKAWHKO E =?
3%3=8::79
3%=?==>>:
>=1 ?18?7 I Y NDEODK _ =?
3%3=8::79
3%=?==>>:
>=> 13>>?7 D H IGKH^GMD _ =?
3%3=8::79
3%=?==>>:
>== 13>>?7 D H FW^^A_ _ =?
3%3=8::79
3%=?==>>:
>=9 13>>?7 D H JAE]DE _ =?
3%3=8::79
3%=?==>>:
>=7 13>=?7 D H NAJ^ _ =?
3%3=8::79
3%=?==>>:
>=0 13>??7 D H BA]A_ E =?
3%3=8::79
3%=?==>>:
>=8 13>??7 I Y IGKH^GMD _ =?
3%3=8::79
3%=?==>>:
>=: 1137?7 I Y MJ^O]YOG _ =?
3%3=8::79
3%=?==>>:
>=? 1137?7 D H MA^EG_ _ =?
3%3=8::79
3%=?==>>:
>93 111>?7 D Y AEIG^]DE _ =?
3%3=8::79
3%=?==>>:
>91 111>?7 D H HTIAPO] _ =?
3%3=8::79
3%=?==>>:
>9> 111??7 D H SGYG^]DE _ =?
3%3=8::79
3%=?==>>:
>9= 11>8?7 D H MA^EG_ _ =?
3%3=8::79
3%=?==>>:
>99 1>13?7 D Y SGK@^G_ _ =?
3%3=8::79
3%=?==>>:
>97 1>18?7 I Y SGYG^]DE _ =?
3%3=8::79
3%=?==>>:
>9 1>>=?7 D H JAE]DE _ =? 3%3=8:: 3%=?==>
-
8/9/2019 HypothesTesting
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0 79 >:>9
8 ?3=?7 I Y MD@G^ _ 933%3=08=
0:3%9?107
=7>9
: ?13?7 I Y JAE]DE E 933%3=08=
0:3%9?107
=7>9
? ?>9?7 D Y ^GPGO\ _ 933%3=08=
0:3%9?107
=7>7
3 131>?7 D Y \GEIGLA] _ 933%3=08=
0:3%9?107
=7>7
1 1317?7 D Y AEIG^]DE _ 933%3=08=
0:3%9?107
=7>7
> 13>??7 I Y AEIG^]GE _ 933%3=08=
0:3%9?107
=7>7
= 111>?7 I Y IGKH^GMD _ 933%3=08=
0:3%9?107
=7>7
9 111??7 I Y AEIG^]GE E 933%3=08=
0:3%9?107
=7>7
7 ?3=?7 I Y BA]A_ _ 913%3=7>:
3>3%7:??:
9>>7
0 ?18?7 I Y IGKH^GMD E 913%3=7>:
3>3%7:??:
9>>7
8 ?18?7 I Y HTIAPO] _ 913%3=7>:
3>3%7:??:
9>>7
: 133:?7 D H ETLDJE]E _ 913%3=7>:
3>3%7:??:
9>>7
? 1317?7 I Y NKAEMJA^ _ 913%3=7>:
3>3%7:??:
9>>0
3 11>0?7 D H JDKKO] E 913%3=7>:
3>3%7:??:
9>>0
1 1>3=?7 D H LAMBG _ 913%3=7>:
3>3%7:??:
9>>0
> ?13?7 D Y SGK@^G_ _ 9>3%3==77
7=3%0::=1
9?>0
= ?13?7 D H GKKODYY _ 9>3%3==77
7=3%0::=1
9?>0
9 ?13?7 I Y ETLDJE]E _ 9>3%3==77
7=3%0::=1
9?>0
7 13>>?7 D H JAE]DE _ 9>3%3==77
7=3%0::=1
9?>0
0 13>??7 I Y KDXG^_ _ 9>3%3==77
7=3%0::=1
9?>0
8 111??7 D Y MJ^O]YOG E 9>3%3==77
7=3%0::=1
9?>0
: 11>0?7 D H FW^^A_ E 9>3%3==77
7=3%0::=1
9?>0
? 11>0?7 I Y SGYG^]DE _ 9>3%3==77
7=3%0::=1
9?>8
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7 1>>9?7 D H BA]A_ _ 9>3%3==77
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0 ?13?7 D H AEIG^]DE _ 9=3%3=103
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8 ?13?7 I Y IGKH^GMD _ 9=3%3=103
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70
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>:3 ?>9?7 D Y ^GPGO\ _ 9=
3%3=10388
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3%3=10388
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3%3=10388
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3%3=10388
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3%3=10388
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3%3=10388
3%8:00970
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3%3=10388
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3%3=10388
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>:: 1>3=?7 D H NAJ^ E 9=
3%3=10388
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>?3 ?>9?7 D H FW^^A_ E 99
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=1 111>?7 D H MA^EG_ E 97 3%3>8>9 3%?:==3
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= => 81=1
9 ?3=?7 I Y GKKODYY _ 903%3>9?>
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0 ?>9?7 D H JGEY^OMJ E 983%3>>7?
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=98 ?3=?7 I Y SGYG^]DE _ 9?
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=79 ?>9?7 D Y IAKWO]D _ 73
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3 = >=:
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