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CMBUkTI 6 bMENgEckRbU)ab sßitiBaNiC¢kmµ eroberog nigbeRgonedaysa®sþacarü Tug Eg:t Tel:  017 865 064   E-mail:  [email_address] Website:  www.nget99.blogspot.com
bMENgEckénKMrUtagkmµécdnü  ,[object Object]
bMENgEckénKMrUtagkmµécdnü  ,[object Object]
bMENgEckénKMrUtagkmµécdnü
[object Object],[object Object],1-kareRCIserIsKMrUtagRbU)ab  (Selecting the Probability Sample)   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
KMrUtagécdnüsamBaØ nig  KMrUtagécdnüCaRbBn½   ,[object Object],[object Object],[object Object],[object Object],dMeNIrkar³  dMbUgKNna  k  =   EpñkKt;én  N / n  .  cMeBaH ]sSah_kmµ  Nitra   eyIgKYeRCIserIsbBa¢Ikmµkr ral;TI 16  (845/52) .  KMrUtagécdnüsamBaØ RtUveRbIkñúgkareRCIserIs ykeQµaHdMbUg ¬BIkñúgcMenamelxerogTI1eTATI16¦ bnÞab;mk cUreRCIsykeQµaHrral;TI16 BIbBa¢IbnþbnÞab;  rhUt KMrUtagén kmµkrcMnYn 52 nak;   RtUv)aneRCIserIs. ,[object Object],[object Object],[object Object],]TahrN_³  ]sSah_kmµ  Nitra  mankmµkrsrub cMnYn  845 nak;. KMrUtagénkmµkrcMnYn 52nak;  RtUveKeRCIserIsecjBIsakl sßitienaH.  cUrGñkGFib,ayBITegVIenHedIm,I)anKMrUtagmYy edayeRbI viFIsa®sþ KMrUtagécdnüsamBaØ .   dMeNIrkar³  eKsresreQµaHrbs;kmµkrnImYy² dak;elIRkdas ehIydak;kñúgRbGb;mYy. bnÞab;mkRkLúk[esµIsac; dMbUgeRCIsykRkdasmYysnøwkBIkñúgRbGb; edayminemIl. rUceKbnþdMeNIrkarenHrhUt KMrUtagénkmµkrcMnYn 52 nak;   RtUv)aneRCIserIs. ]TahrN_³  ]sSah_kmµ  Nitra  mankmµkrsrub cMnYn  845 nak;. KMrUtagénkmµkrcMnYn52nak; RtUveKeRCIserIsecjBIsakl sßitienaH.  cUrGñkGFib,ayBITegVIenHedIm,I)anKMrUtagmYy edayeRbI viFIsa®sþ KMrUtagécdnüCaRbBn .
KMrUtagécdnüBIRKb;Rkum  (Stratified Random Sampling) ,[object Object],]TahrN_³  ]bmafaeyIgcg;sikSaBIkarcMNayelIkar pSBVpSayBaNiC¢kmµ cMeBaHRkumh‘unFM²cMnYn 352  kñúgshrdæGaemrik edIm,IkMNt;faetIRkumh‘unEdl mancMNUlRTBüx<s; )ancMNayelIkarpSayBaNiC¢kmµkñú karlk;nImYy² eRcInCagRkumh‘unEdlmancMNUlTab rI»nPaBEdrrWeT. cUreRCIserIsKMrUtagRkumh‘unTMhM50tamviFIsaRsþ  SRS . edIm,I[R)akdfaKMrUtagKWCatMNagd¾RtwmRtUvrbs;Rkum h‘unTaMg 352/   Rkumh‘unTaMgGs;RtUveKEckCaRkum tamPaKryéncMNUlRTBü ehIyKMrUtagEdl smamaRtnwgTMhMeFobénRkumRtUveKeRCIserIs edayécdnü.
KMrUtagécdnüBI;RkumécdnümYycMnYn  (Cluster Sampling) ,[object Object],]TahrN_³  ]bmafaeyIgcg;kMNt;BITsSn³rbs;GñktaMglMenA kñúg  Oregon  sþIGMBIeKalneya)aykarBarbrisßan shBn½ nigrdæ.  cUrGñkGFib,ayBITegVI edIm,I)anKMrUtagmYy edayeRbI viFIsa®sþ  KMrUtagécdnüBIRkumécdnümYycMnYn . Cluster sampling  GacRtUv)aneKeRbIedayEckrdæCaÉkta tUc² ¬tamtMbn; rI extþ¦ rYceKeRCIstMbn;edayécdnü--]TahrN_ ykbYntMbn;--bnÞab;mkykKMrUtagénGñktaMg lMenA BIkñúgtMbn;nImYy² kñúgcMeNamtMbn;TaMgenH ehIy smÖasBYkeK.  cMNaM³   dMeNIrkarEbbenHCabnSMénkareFVIKMrUtagkmµBI RkumécdnümYycMnYn nigkareFVIKMrUtagkmµécdnügay.
2-bMENgEckKMrUtagkmµénmFümKMrUtag  ( Sampling distribution for the sample means ) ,[object Object],]TahrN_³  Rkumh‘un]sSahkmµmYymanbuKÁlikEpñkplitTaMg Gs; 7nak;  ¬cat;TukfaCasaklsßiti¦. cMNUlRbcaMem:agrbs; buKÁliknImYy² RtUveK[kñúgtaragxageRkam. 1> cUrKNnamFümsaklsßiti. 2> cUrrkbMENgEckRbU)abénmFümKMrUtag cMeBaHKMrUtag TMhM2 . 3> cUrKNnamFüménbMENgEck. 4> etIeKGacGegáteXIjya:gdUecþcsþIGMBIsaklsßiti nig bMENgEckKMrUtagkmµ. 2> edIm,IQandl;bMENgKMrUtagénmFüm/ eyIgRtUveRCIserIsKMrUtag TMhM2Edl  GacmanTaMgGs;   edaymindak;vij ecjBIsaklsßiti bnÞab;mkcUrKNna mFüménKMrUtagnImYy². manKMrUtagEdlGacmanTaMGs; 21 . 1> mFümKsaklsßiti KwesµI  $7.71   EdlrktamrUbmnþ³ 3> cMNYl RbcaMem:ag buKÁlik buKÁlik cMNYl RbcaMem:ag KMrUtag KMrUtag buKÁlik cMNYlRbcaMem:ag buKÁlik cMNYlRbcaMem:ag
2-bMENgEckKMrUtagkmµénmFümKMrUtag ¬RTwsþIbT¦
2-bMENgEckKMrUtagkmµénmFümKMrUtag ¬]TahrN_¦ KNna mFüménsaklsßiti dMeNaHRsay
dMeNaHRsay ¬t¦
x- krNIKMrUtagécdnüsamBaØ GaRs½y eyIg)an ³   eK)an taragbMENgEckKMrUtagénmFüm nigFatusMxan;² dUcxageRkam ³ dMeNaHRsay ¬t¦
dMeNaHRsay ¬t¦
2-bMENgEckKMrUtagkmµénmFümKMrUtag ¬]TahrN_¦ dMeNaHRsay
dMeNaHRsay ¬t¦
3>bMENgEckKMrUtagkmµénsmamaRt  ¬ Sampling distribution of the proportion ¦
3>bMENgEckKMrUtagkmµénsmamaRt ¬t¦
dMeNaHRsay eKman  p=60%=0.60  CasmamaRténGñke)aHeqñat[KNbkS  A  rbs;saklsßiti nig p s   CasmamaRtGñke)aHeqñat[KNbkS  A  rbs;KMrUtagécdnü. eK)an³
3>bMENgEckKMrUtagkmµénsmamaRt ¬]TahN_¦ dMeNaHRsay k>   krNIminGaRs½y  ¬eRCIsedaydak;eTAvij¦ CMhanTI1³  rksmamaRténTMnijxUckñúgsaklsßiti nigKMlatKMrUénbMENgEckeTVFa nig rk  z  EdlRtUvKµanwg  p s = 10.5/15   ¬ X+  0. 5  KWCaktþaEktRmUvPaBCab;BIeTVFamkn½rma:l;¦ CMhanTI2³  kMNt;épÞcab;BI  p s = 10.5/15   eLIg. eKman smamaRténTMnijxUckñúgsaklsßiti  p=50/100=0.50   cMNaM³  kareFVIkMENPaBCab;cMeBaHEtKMrUécdnümanTMhMtUc.
3>bMENgEckKMrUtagkmµénsmamaRt ¬]TahN_¦ dMeNaHRsay k>   krNIGaRs½y  ¬eRCIsedaymindak;eTAvij¦ eKman smamaRténTMnijxUckñúgsaklsßiti  p=50/100=0.50
4> témø)a:n;sµanCacMNuc nigcenøaHTukcitþ  ¬ Point estimates and Confidence intervals ¦   témø)a:n;sµan  CacMNucCatémøEdlKNna)an BIB½t’manKMrUtag nig RtUv)aneKeRbIedIm,IeFVICa témø)a:n;sµan)a:ra:Em:Rténsaklsßiti.   cenøaHTukcitþ  CacenøaHEdlKNna)anBIB½t’manKMrUtagedIm,I [)a:ra:Em:Rténsaklsßiti sßitenAkñúgcenøaHenH Rtg;RbU)abCak;lak;mYy. RbU)abCak;lak;EdleKR)ab;enH ehAfakRmitTukcitþ ¬ Level of confidence ¦ . cenøaHenHehAfa témø)a:n;sµanCacenøaH . eK)an³
4> karbkRsaytémø)a:n;sµan  ¬ Interval Estimates- Interpretation ¦   cMeBaHcenøaHTukcitþ  95%  manRbEhlCa  95%   éncenøaHTaMgLayEdlRtUv)ansg; nwgpÞúk)a:ra:Em:tEdl RtUv)a:n;sµan. ehIy  95%  énmFümKMrUtagsRmab;TMhMKMrUtagCak;lak;mYy nwgsßitenAkñúgKmøatKMrUén saklsßitiEdlRtUveFVIetsþ. sMNakén   mFümsaklsßiti KMrUtag ! TMhM 256 pÞúkmFümsaklsßiti KMrUtag @ TMhM 256 pÞúkmFümsaklsßiti KMrUtag # TMhM 256 pÞúkmFümsaklsßiti KMrUtag $ TMhM 256 pÞúkmFümsaklsßiti KMrUtag % TMhM 256  minpÞúk mFümsaklsßiti KMrUtag 6 TMhM 256 pÞúkmFümsaklsßiti
rebobKNnatémø  Z  edaysÁl;cenøaHTukcitþ   ¬  How to Obtain z value for a Given Confidence Level   ¦   cenøaHTukcitþ  95%  KWCaEpñkkNþal  95%  éntémøGegát. dUecñH enAsl;  5%  RtUvEckCaBIresµIKñarvagcugTaMgsgxag. tamtarag   Appendix B.1.
cenøaHTukcitþsRmab;mFümsaklsßitikñúgkrNI sÁal; cenøaHTukcitþsRmab;mFümsaklsßiti  edaysÁal;  KW³ cenøaHTukcitþsRmab;mFümsaklsßiti  edaysÁal;  KW³ ebI   n/N < 0.05 RtUveRbI   (*)  eRBaH  (*)  mFümKMrUtag KmøatKMrUsaklsßiti témø  Z  cMeBaHcenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag  (>30) TMhMsaklsßiti minsÁal; mFümKMrUtag KmøatKMrUsaklsßiti témø  Z  cMeBaHcenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag  (>30) TMhMsaklsßiti sÁal;
]TahrN_³  eKeRCIserIsKMrUécdnücMnYn 64)av BIkñúgsaklsßiti)avsIum:g;EdlmFümsaklsßiti  minsÁal; ehIymanKmøatKMrU  KILÚRkam bnÞab;BIføwgrYceKdwgfaTMgn;mFüm  edayykcenøaHTukcitþesµI  95%  cUrkMnt;cenøaHeCOCak;TMgn;sIum:g;énsaklsßiti ebIKMrUtagécdnüCa KMrUécdnüsamBaØminGaRs½y .  dMeNaHRsay cenøaHTukcitþsRmab;mFümsaklsßitiKW³ cenøaHTukcitþsRmab; mFümsaklsßiti kñúgkrNI sÁal;  ¬]TahrN_¦
]TahrN_³  eKeRCIserIsKMrUécdnücMnYn 64)av BIkñúgsaklsßiti)avsIum:g;EdlmFümsaklsßiti  minsÁal; ehIymanKmøatKMrU  KILÚRkam bnÞab;BIføwgrYceKdwgfaTMgn;mFüm  edayykcenøaHTukcitþesµI  99%  cUrkMnt;cenøaHeCOCak;TMgn;sIum:g;énsaklsßiti ebIKMrUtagécdnüCaKMrUécdnüeRCIseday mindak;eTAvijBIsaklsßitiTMhM  N=1000 )av.  dMeNaHRsay cenøaHTukcitþsRmab;mFümsaklsßitiKW³ cenøaHTukcitþsRmab; mFümsaklsßiti kñúgkrNI sÁal;  ¬]TahrN_¦
krNI minsÁal; KmøatKMrUsaklsßiti  =>  bMENgEck  t enAkñúgsßanPaBeFVIKMrUtag CaFmµta eKminsÁal;KmøatKMrUsaklsßiti  ( σ ) . lkçN³énbMENgEck  t ³ 1>¦ vaCa bMENgEckCab;  dUcbMENgEck  Z  Edr 2>¦   vaman ragCaCYYg   nig sIuemRTI   dUcbMENgEck  Z  Edr 3>¦   minEmnCabMENgEck  t  EtmYyenaHeT   EtvaCa RKYsar énbMENgEck   t .   bMENgEck  t  TaMgGs;man  mFüm = 0  b:uEnþmanKmøatKMrUERbRbYlGaRs½ynwgTMhMénKMrUtag/   n 4>¦   bMENgEck  t  manlkçN³lat nig TabenARtg;cMNuckNþalCag bMENgEcknr½ma:l;   EteTaHCaya:gNa bMENgEck  t  xitCitbMENg Ecknr½ma:l;. etIsÁal;KmøatKMrU saklsßitirWeT? snµt;Camunfa saklsßitieKarBtamc,ab;nr½ma:l; cUreRbIbMENgEck  Z  cUreRbIbMENgEck  t
cenøaHTukcitþsRmab;mFümsaklsßitikñúgkrNI minsÁal; cenøaHTukcitþsRmab;mFümsaklsßiti  eRCIsdak;eTAvij KW³ cenøaHTukcitþsRmab;mFümsaklsßiti  eRCIsmindak;eTAvij KW³ ebI   n/N < 0.05 RtUveRbI    (**)  eRBaH  finite population  correction factor (**) mFümKMrUtag KmøatKMrUénKMrUtag témø  cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag  (<30) TMhMsaklsßiti minsÁal; KmøatKMrUénsaklsßiti minsÁal; mFümKMrUtag KmøatKMrUénKMrUtag témø  cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag  (<30) TMhMsaklsßiti sÁal; KmøatKMrUénsaklsßiti minsÁal;
cenøaHeCOCak;sRmab;  ¬]TahrN_edayeRbIbMENgEck  t ¦ ]TahrN_³  eragcRksMbkkg;mYycg;eFVIkarGegátBIGayukal RkLasMbkkg;rbs;xøÜn. KMrUtagTMhM  !0sMbkkg; RtUv)aneRbIkñúgkar ebIkbrcMgay  %0/000ma:y  )anbgðan[dwgfamFümKMrUtagesµI  0>#@ Gij  énRkLakg;enAsl; edaymanKmøatKMrUesµI  0>0( Gij .  1>¦ cUrsg;cenøaHTukcitþ  (% %  sRmab;témøCamFümsaklsßiti. 2>¦ etIvasmehtuplEdrrWeTcMeBaHeragcRkkñúgkarsnñidæanfa bnÞab;BI  %0/000 ma:y  brimaNmFümsaklsßitiénRkLakg;Edl enAsl; KwesµI  0>30 Gij ? 2>¦ snñidæan³ eragcRkGacR)akdd¾smehtuplfaCeRmARkLa EdlenAsl;CamFümKWenAcenøaHBI 0>@%^ eTA 0>#*$ Gij.
cenøaHeCOCak;sRmab;  edaymanktþaEktRmUvsaklsßitikMNt;  ¬]TahrN_¦ mFümsaklsßitiTMngCaFMCag  $432  b:unEnþ tUcCag  $468 .  mFümsaklsßitiGacesµI  $445  b:uEnþ minesµI  $425 eT eRBaH  $445  sßitenAkñúgcenøaHTukcitþ cMENk  $425  minenAkñúgcenøaHenHeT. ]TahrN_³  manRKYsarcMnYn  @%0  enAkñúg  Scandia,  Pennsylvania . KMrUtagécdnüTMhM  40  énRKYsar TaMgenH)an[dwgfa karbricakcUlkñúgRBHviha RbcaMqñaMKWesµI  $450   nigKmøatKMrUénKMrUtagenHKW  $75 . etImFümsaklsßitiGacesµI  $445   rW   $425  EdrrWeT? etImFümsaklsßitiesµInwgb:unµan? rktémø)a:n;sµan  90%  sRmab; mFümsaklsßiti. tambRmab;³ N  = 250 n  = 40 s  = $75 eday  dUecñHRtUveRbI ktþaEktRmUvsaklsþitikMNt;. eKminsÁal; KmøatKMrUsaklsßiti dUecñHeKRtUveRbI bMENgEck  t   ¬rW GaceRbIbMENgEck  Z  eRBaH  n>30 .
cenøaHTukcitþsRmab;smamaRtsaklsßitikñúgkrNI sÁal; cenøaHTukcitþsRmab; smamaRtsaklsßit i  eRCIsdak;eTAvij KW³ cenøaHTukcitþsRmab; smamaRtsaklsßiti  eRCIsmindak;eTAvij KW³ finite population  correction factor ebI   n/N < 0.05 RtUveRbI    (***)  eRBaH  (***)  smamaRtKMrUtag témø  cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag  (>30) TMhMsaklsßiti minsÁal; KmøatKMrUénsaklsßiti sÁal; smamaRtKMrUtag témø  cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag  (>30) TMhMsaklsßiti sÁal; KmøatKMrUénsaklsßiti sÁal;
cenøaHTukcitþsRmab;smamaRtsaklsßiti ¬]TahrN_¦ ]TahrN_³  shKmtMNag[  BBA  kMBugBicarNa elIsMeNIrbBa¢ÚlKñaCamYy  Teamsters Union . eyagtamc,ab;shKm  BBA  ya:gehacNas;  3/4  énsmaCikPaBshKm RtUvEtyl;RBmcMeBaH kardak; bBa©ÚlKña. KMrUtagécdnüénsmaCik  BBA  bc©úb,nñcMnYn  @/000nak;  )an[dwgfa  !/^00nak;  manKeRmage)aH eqñatKaMRTsMeNIrbBa©ÚlKñaenH.  cUrKNnasmamaRtsaklsßiti. cUrsg;cenøaHTukcitþ  95%  sRmab;smamaRtsaklsßiti. edayEp¥kelIkarseRmccitþrbs;Gñk elIB½t¾mankñúg KMrUtag etIGñkGacsnñidæanfasmamaRtcaM)ac;énsmaCik  BBA  eBjcitþcMeBaHkarbBa©ÚlKñaEdrrWeT? ehtuGVI?  dMeNaHRsay snñidæan³   sMeNIrdak;bBa©ÚlKñanwgTMngCaGnum½t)an eRBaHenøaH)a:n;sµanpÞúktémøFMCag  75%  énsmaCikPaB.
cenøaHTukcitþsRmab;smamaRtsaklsßiti ¬]TahrN_¦ ]TahrN_³  shRKasplitkg;LanmYyplitkg;LanCaeRcIn. edIm,IBinitüemIlPaBsViténkg;LangTaMgenaH eKeRCIs edayécdnünUvkg;LancMnYn  n=50  CaKMrUtagécdnü. eKGegáteXIjfamankg;Lan  10%  mineqøIytbnwg sMNUmBr. cUrkMNt;cenøaHTukcitþ sRmab;smamaRt  p  énkg;LanTaMgGs;EdlplitmintamsMNUmBr eday ykkMritTukcitþ  95%  ebI³ k>  KMrUtagCaKMrUtagminGaRs½y. x>  KMrUécdnüCaKMrUécdnüeRCIsmindak;eTAvij nigLanEdlplitTaMgGs;mancMnYn  400 kg ;.  dMeNaHRsay
kareRCIserIsTMhMKMrUtagd¾smRsb manktþa 3ya:gEdlkMNt;TMhMKMrUtag EdlKµanktþa NamYymanTMnak;TMngedaypÞal; cMeBaHTMhM saklsßitieT. 1.)  kMritTukcitþEdlcg;)an 2.)  kMritel¥ógEdlGñkRsavRCavnwgTTYyk)an 3.)  karERbRbYlkñúgsaklsßitiEdlkMBugRtUvsikSa dMeNaHRsay Edl ³ TMhMKMrUtag Catémønr½ma:l;KMrUEdlRtUvKñanwgkMrit TukcitþEdlcg;)an KmøatKMrUsaklsßiti kMhusEdlGacGnuBaØat[manFMbMput ]TahrN_³ nisSitenAkñúgrdæ)alsaFarNcg;kMNt;brimaN mFümEdl smaCik énRkumRbwkSaRkugkñúg TIRkugFM²  rkcMNUl)ankñúgmYyEx BIkareFVICa smaCik. kMhuskñúg kar)a:n;sµanmFümKWRtUv tUcCag  $100  edaymancenøaHTukcitþ  95% . nisSitenaH)anrkeXIjfar)aykarN_eday naykdæankargarEdl)an)a:n;sµanBIKmøatKMrUKW RtUvesµI  $1,000 . etIeKRtUvkareRCIserIsTMhM KMrUtagEdlRtUvkarb:unµan?
kareRCIserIsTMhMKMrUtagedIm,I)a:n;sµansmamaRtsaklsßiiti dMeNaHRsay Edl ³ TMhMKMrUtag Catémønr½ma:l;KMrUEdlRtUvKñanwgkMrit TukcitþEdlcg;)an KmøatKMrUsaklsßiti kMhusEdlGacGnuBaØat[manFMbMput ]TahrN_³ cMNaM³  ebIKµanB½t¾manGMBIRbU)abénPaB eCaKC½y eyIgyk  p = 0.5 . køib  American Kennel Club   cg;)a:n;sµansmamaRt énekµgEdlmanEqáCastVciBa©wm.RbsinebIkøwbenHcg;  )an kar)a:n;sµan EdlRtUvCamYy  3 %  énsmamaRt saklsßiti etIBYkeKRtUvTak;TgsmÖasn_ekµg²cMnYn b:unµannak;? snµt;cenøaHTukcitþesµI  95%   ehIykøwbenH  )an)a:n;sµanfa  30% énekµg²manEqáCastVciBa©wm. karsikSamYyRtUvkar)a:n;sµanBIsmamaRténTIRkug EdlmanGñkcak;sMramÉkCn. GñkGegátcg;)an  kRmitkMhus RtUvCamYy  0.10  énsmamaRtsakl sßiti nigkRmitTukcitþKWesµI  90  PaKry ehIyKµan kar)a:n;sµanNamYysþIGMBIsmamaRtsaklsßitieT. etIeKRtUvakarTMhMKMrUtagb:unµan? ]TahrN_³
cb;edaybribUN_ GrKuNcMeBaHkarykcitþTukdak;¡ rrr<sss

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Chapter06

  • 1. CMBUkTI 6 bMENgEckRbU)ab sßitiBaNiC¢kmµ eroberog nigbeRgonedaysa®sþacarü Tug Eg:t Tel: 017 865 064 E-mail: [email_address] Website: www.nget99.blogspot.com
  • 2.
  • 3.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 13. x- krNIKMrUtagécdnüsamBaØ GaRs½y eyIg)an ³ eK)an taragbMENgEckKMrUtagénmFüm nigFatusMxan;² dUcxageRkam ³ dMeNaHRsay ¬t¦
  • 17. 3>bMENgEckKMrUtagkmµénsmamaRt ¬ Sampling distribution of the proportion ¦
  • 19. dMeNaHRsay eKman p=60%=0.60 CasmamaRténGñke)aHeqñat[KNbkS A rbs;saklsßiti nig p s CasmamaRtGñke)aHeqñat[KNbkS A rbs;KMrUtagécdnü. eK)an³
  • 20. 3>bMENgEckKMrUtagkmµénsmamaRt ¬]TahN_¦ dMeNaHRsay k> krNIminGaRs½y ¬eRCIsedaydak;eTAvij¦ CMhanTI1³ rksmamaRténTMnijxUckñúgsaklsßiti nigKMlatKMrUénbMENgEckeTVFa nig rk z EdlRtUvKµanwg p s = 10.5/15 ¬ X+ 0. 5 KWCaktþaEktRmUvPaBCab;BIeTVFamkn½rma:l;¦ CMhanTI2³ kMNt;épÞcab;BI p s = 10.5/15 eLIg. eKman smamaRténTMnijxUckñúgsaklsßiti p=50/100=0.50 cMNaM³ kareFVIkMENPaBCab;cMeBaHEtKMrUécdnümanTMhMtUc.
  • 21. 3>bMENgEckKMrUtagkmµénsmamaRt ¬]TahN_¦ dMeNaHRsay k> krNIGaRs½y ¬eRCIsedaymindak;eTAvij¦ eKman smamaRténTMnijxUckñúgsaklsßiti p=50/100=0.50
  • 22. 4> témø)a:n;sµanCacMNuc nigcenøaHTukcitþ ¬ Point estimates and Confidence intervals ¦ témø)a:n;sµan CacMNucCatémøEdlKNna)an BIB½t’manKMrUtag nig RtUv)aneKeRbIedIm,IeFVICa témø)a:n;sµan)a:ra:Em:Rténsaklsßiti. cenøaHTukcitþ CacenøaHEdlKNna)anBIB½t’manKMrUtagedIm,I [)a:ra:Em:Rténsaklsßiti sßitenAkñúgcenøaHenH Rtg;RbU)abCak;lak;mYy. RbU)abCak;lak;EdleKR)ab;enH ehAfakRmitTukcitþ ¬ Level of confidence ¦ . cenøaHenHehAfa témø)a:n;sµanCacenøaH . eK)an³
  • 23. 4> karbkRsaytémø)a:n;sµan ¬ Interval Estimates- Interpretation ¦ cMeBaHcenøaHTukcitþ 95% manRbEhlCa 95% éncenøaHTaMgLayEdlRtUv)ansg; nwgpÞúk)a:ra:Em:tEdl RtUv)a:n;sµan. ehIy 95% énmFümKMrUtagsRmab;TMhMKMrUtagCak;lak;mYy nwgsßitenAkñúgKmøatKMrUén saklsßitiEdlRtUveFVIetsþ. sMNakén mFümsaklsßiti KMrUtag ! TMhM 256 pÞúkmFümsaklsßiti KMrUtag @ TMhM 256 pÞúkmFümsaklsßiti KMrUtag # TMhM 256 pÞúkmFümsaklsßiti KMrUtag $ TMhM 256 pÞúkmFümsaklsßiti KMrUtag % TMhM 256 minpÞúk mFümsaklsßiti KMrUtag 6 TMhM 256 pÞúkmFümsaklsßiti
  • 24. rebobKNnatémø Z edaysÁl;cenøaHTukcitþ ¬ How to Obtain z value for a Given Confidence Level ¦ cenøaHTukcitþ 95% KWCaEpñkkNþal 95% éntémøGegát. dUecñH enAsl; 5% RtUvEckCaBIresµIKñarvagcugTaMgsgxag. tamtarag Appendix B.1.
  • 25. cenøaHTukcitþsRmab;mFümsaklsßitikñúgkrNI sÁal; cenøaHTukcitþsRmab;mFümsaklsßiti edaysÁal; KW³ cenøaHTukcitþsRmab;mFümsaklsßiti edaysÁal; KW³ ebI n/N < 0.05 RtUveRbI (*) eRBaH (*) mFümKMrUtag KmøatKMrUsaklsßiti témø Z cMeBaHcenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag (>30) TMhMsaklsßiti minsÁal; mFümKMrUtag KmøatKMrUsaklsßiti témø Z cMeBaHcenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag (>30) TMhMsaklsßiti sÁal;
  • 26. ]TahrN_³ eKeRCIserIsKMrUécdnücMnYn 64)av BIkñúgsaklsßiti)avsIum:g;EdlmFümsaklsßiti minsÁal; ehIymanKmøatKMrU KILÚRkam bnÞab;BIføwgrYceKdwgfaTMgn;mFüm edayykcenøaHTukcitþesµI 95% cUrkMnt;cenøaHeCOCak;TMgn;sIum:g;énsaklsßiti ebIKMrUtagécdnüCa KMrUécdnüsamBaØminGaRs½y . dMeNaHRsay cenøaHTukcitþsRmab;mFümsaklsßitiKW³ cenøaHTukcitþsRmab; mFümsaklsßiti kñúgkrNI sÁal; ¬]TahrN_¦
  • 27. ]TahrN_³ eKeRCIserIsKMrUécdnücMnYn 64)av BIkñúgsaklsßiti)avsIum:g;EdlmFümsaklsßiti minsÁal; ehIymanKmøatKMrU KILÚRkam bnÞab;BIføwgrYceKdwgfaTMgn;mFüm edayykcenøaHTukcitþesµI 99% cUrkMnt;cenøaHeCOCak;TMgn;sIum:g;énsaklsßiti ebIKMrUtagécdnüCaKMrUécdnüeRCIseday mindak;eTAvijBIsaklsßitiTMhM N=1000 )av. dMeNaHRsay cenøaHTukcitþsRmab;mFümsaklsßitiKW³ cenøaHTukcitþsRmab; mFümsaklsßiti kñúgkrNI sÁal; ¬]TahrN_¦
  • 28. krNI minsÁal; KmøatKMrUsaklsßiti => bMENgEck t enAkñúgsßanPaBeFVIKMrUtag CaFmµta eKminsÁal;KmøatKMrUsaklsßiti ( σ ) . lkçN³énbMENgEck t ³ 1>¦ vaCa bMENgEckCab; dUcbMENgEck Z Edr 2>¦ vaman ragCaCYYg nig sIuemRTI dUcbMENgEck Z Edr 3>¦ minEmnCabMENgEck t EtmYyenaHeT EtvaCa RKYsar énbMENgEck t . bMENgEck t TaMgGs;man mFüm = 0 b:uEnþmanKmøatKMrUERbRbYlGaRs½ynwgTMhMénKMrUtag/ n 4>¦ bMENgEck t manlkçN³lat nig TabenARtg;cMNuckNþalCag bMENgEcknr½ma:l; EteTaHCaya:gNa bMENgEck t xitCitbMENg Ecknr½ma:l;. etIsÁal;KmøatKMrU saklsßitirWeT? snµt;Camunfa saklsßitieKarBtamc,ab;nr½ma:l; cUreRbIbMENgEck Z cUreRbIbMENgEck t
  • 29. cenøaHTukcitþsRmab;mFümsaklsßitikñúgkrNI minsÁal; cenøaHTukcitþsRmab;mFümsaklsßiti eRCIsdak;eTAvij KW³ cenøaHTukcitþsRmab;mFümsaklsßiti eRCIsmindak;eTAvij KW³ ebI n/N < 0.05 RtUveRbI (**) eRBaH finite population correction factor (**) mFümKMrUtag KmøatKMrUénKMrUtag témø cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag (<30) TMhMsaklsßiti minsÁal; KmøatKMrUénsaklsßiti minsÁal; mFümKMrUtag KmøatKMrUénKMrUtag témø cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag (<30) TMhMsaklsßiti sÁal; KmøatKMrUénsaklsßiti minsÁal;
  • 30. cenøaHeCOCak;sRmab; ¬]TahrN_edayeRbIbMENgEck t ¦ ]TahrN_³ eragcRksMbkkg;mYycg;eFVIkarGegátBIGayukal RkLasMbkkg;rbs;xøÜn. KMrUtagTMhM !0sMbkkg; RtUv)aneRbIkñúgkar ebIkbrcMgay %0/000ma:y )anbgðan[dwgfamFümKMrUtagesµI 0>#@ Gij énRkLakg;enAsl; edaymanKmøatKMrUesµI 0>0( Gij . 1>¦ cUrsg;cenøaHTukcitþ (% % sRmab;témøCamFümsaklsßiti. 2>¦ etIvasmehtuplEdrrWeTcMeBaHeragcRkkñúgkarsnñidæanfa bnÞab;BI %0/000 ma:y brimaNmFümsaklsßitiénRkLakg;Edl enAsl; KwesµI 0>30 Gij ? 2>¦ snñidæan³ eragcRkGacR)akdd¾smehtuplfaCeRmARkLa EdlenAsl;CamFümKWenAcenøaHBI 0>@%^ eTA 0>#*$ Gij.
  • 31. cenøaHeCOCak;sRmab; edaymanktþaEktRmUvsaklsßitikMNt; ¬]TahrN_¦ mFümsaklsßitiTMngCaFMCag $432 b:unEnþ tUcCag $468 . mFümsaklsßitiGacesµI $445 b:uEnþ minesµI $425 eT eRBaH $445 sßitenAkñúgcenøaHTukcitþ cMENk $425 minenAkñúgcenøaHenHeT. ]TahrN_³ manRKYsarcMnYn @%0 enAkñúg Scandia, Pennsylvania . KMrUtagécdnüTMhM 40 énRKYsar TaMgenH)an[dwgfa karbricakcUlkñúgRBHviha RbcaMqñaMKWesµI $450 nigKmøatKMrUénKMrUtagenHKW $75 . etImFümsaklsßitiGacesµI $445 rW $425 EdrrWeT? etImFümsaklsßitiesµInwgb:unµan? rktémø)a:n;sµan 90% sRmab; mFümsaklsßiti. tambRmab;³ N = 250 n = 40 s = $75 eday dUecñHRtUveRbI ktþaEktRmUvsaklsþitikMNt;. eKminsÁal; KmøatKMrUsaklsßiti dUecñHeKRtUveRbI bMENgEck t ¬rW GaceRbIbMENgEck Z eRBaH n>30 .
  • 32. cenøaHTukcitþsRmab;smamaRtsaklsßitikñúgkrNI sÁal; cenøaHTukcitþsRmab; smamaRtsaklsßit i eRCIsdak;eTAvij KW³ cenøaHTukcitþsRmab; smamaRtsaklsßiti eRCIsmindak;eTAvij KW³ finite population correction factor ebI n/N < 0.05 RtUveRbI (***) eRBaH (***) smamaRtKMrUtag témø cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag (>30) TMhMsaklsßiti minsÁal; KmøatKMrUénsaklsßiti sÁal; smamaRtKMrUtag témø cMeBaH cenøaHTukcitþCak;lak;NamYy cMnYntémøGegátsrubkñúgKMrUtag (>30) TMhMsaklsßiti sÁal; KmøatKMrUénsaklsßiti sÁal;
  • 33. cenøaHTukcitþsRmab;smamaRtsaklsßiti ¬]TahrN_¦ ]TahrN_³ shKmtMNag[ BBA kMBugBicarNa elIsMeNIrbBa¢ÚlKñaCamYy Teamsters Union . eyagtamc,ab;shKm BBA ya:gehacNas; 3/4 énsmaCikPaBshKm RtUvEtyl;RBmcMeBaH kardak; bBa©ÚlKña. KMrUtagécdnüénsmaCik BBA bc©úb,nñcMnYn @/000nak; )an[dwgfa !/^00nak; manKeRmage)aH eqñatKaMRTsMeNIrbBa©ÚlKñaenH. cUrKNnasmamaRtsaklsßiti. cUrsg;cenøaHTukcitþ 95% sRmab;smamaRtsaklsßiti. edayEp¥kelIkarseRmccitþrbs;Gñk elIB½t¾mankñúg KMrUtag etIGñkGacsnñidæanfasmamaRtcaM)ac;énsmaCik BBA eBjcitþcMeBaHkarbBa©ÚlKñaEdrrWeT? ehtuGVI? dMeNaHRsay snñidæan³ sMeNIrdak;bBa©ÚlKñanwgTMngCaGnum½t)an eRBaHenøaH)a:n;sµanpÞúktémøFMCag 75% énsmaCikPaB.
  • 34. cenøaHTukcitþsRmab;smamaRtsaklsßiti ¬]TahrN_¦ ]TahrN_³ shRKasplitkg;LanmYyplitkg;LanCaeRcIn. edIm,IBinitüemIlPaBsViténkg;LangTaMgenaH eKeRCIs edayécdnünUvkg;LancMnYn n=50 CaKMrUtagécdnü. eKGegáteXIjfamankg;Lan 10% mineqøIytbnwg sMNUmBr. cUrkMNt;cenøaHTukcitþ sRmab;smamaRt p énkg;LanTaMgGs;EdlplitmintamsMNUmBr eday ykkMritTukcitþ 95% ebI³ k> KMrUtagCaKMrUtagminGaRs½y. x> KMrUécdnüCaKMrUécdnüeRCIsmindak;eTAvij nigLanEdlplitTaMgGs;mancMnYn 400 kg ;. dMeNaHRsay
  • 35. kareRCIserIsTMhMKMrUtagd¾smRsb manktþa 3ya:gEdlkMNt;TMhMKMrUtag EdlKµanktþa NamYymanTMnak;TMngedaypÞal; cMeBaHTMhM saklsßitieT. 1.) kMritTukcitþEdlcg;)an 2.) kMritel¥ógEdlGñkRsavRCavnwgTTYyk)an 3.) karERbRbYlkñúgsaklsßitiEdlkMBugRtUvsikSa dMeNaHRsay Edl ³ TMhMKMrUtag Catémønr½ma:l;KMrUEdlRtUvKñanwgkMrit TukcitþEdlcg;)an KmøatKMrUsaklsßiti kMhusEdlGacGnuBaØat[manFMbMput ]TahrN_³ nisSitenAkñúgrdæ)alsaFarNcg;kMNt;brimaN mFümEdl smaCik énRkumRbwkSaRkugkñúg TIRkugFM² rkcMNUl)ankñúgmYyEx BIkareFVICa smaCik. kMhuskñúg kar)a:n;sµanmFümKWRtUv tUcCag $100 edaymancenøaHTukcitþ 95% . nisSitenaH)anrkeXIjfar)aykarN_eday naykdæankargarEdl)an)a:n;sµanBIKmøatKMrUKW RtUvesµI $1,000 . etIeKRtUvkareRCIserIsTMhM KMrUtagEdlRtUvkarb:unµan?
  • 36. kareRCIserIsTMhMKMrUtagedIm,I)a:n;sµansmamaRtsaklsßiiti dMeNaHRsay Edl ³ TMhMKMrUtag Catémønr½ma:l;KMrUEdlRtUvKñanwgkMrit TukcitþEdlcg;)an KmøatKMrUsaklsßiti kMhusEdlGacGnuBaØat[manFMbMput ]TahrN_³ cMNaM³ ebIKµanB½t¾manGMBIRbU)abénPaB eCaKC½y eyIgyk p = 0.5 . køib American Kennel Club cg;)a:n;sµansmamaRt énekµgEdlmanEqáCastVciBa©wm.RbsinebIkøwbenHcg; )an kar)a:n;sµan EdlRtUvCamYy 3 % énsmamaRt saklsßiti etIBYkeKRtUvTak;TgsmÖasn_ekµg²cMnYn b:unµannak;? snµt;cenøaHTukcitþesµI 95% ehIykøwbenH )an)a:n;sµanfa 30% énekµg²manEqáCastVciBa©wm. karsikSamYyRtUvkar)a:n;sµanBIsmamaRténTIRkug EdlmanGñkcak;sMramÉkCn. GñkGegátcg;)an kRmitkMhus RtUvCamYy 0.10 énsmamaRtsakl sßiti nigkRmitTukcitþKWesµI 90 PaKry ehIyKµan kar)a:n;sµanNamYysþIGMBIsmamaRtsaklsßitieT. etIeKRtUvakarTMhMKMrUtagb:unµan? ]TahrN_³