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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.
4.
bMENgEckénKMrUtagkmµécdnü
5.
6.
7.
8.
9.
10.
2-bMENgEckKMrUtagkmµénmFümKMrUtag ¬RTwsþIbT¦
11.
2-bMENgEckKMrUtagkmµénmFümKMrUtag ¬]TahrN_¦ KNna
mFüménsaklsßiti dMeNaHRsay
12.
dMeNaHRsay ¬t¦
13.
x- krNIKMrUtagécdnüsamBaØ GaRs½y
eyIg)an ³ eK)an taragbMENgEckKMrUtagénmFüm nigFatusMxan;² dUcxageRkam ³ dMeNaHRsay ¬t¦
14.
dMeNaHRsay ¬t¦
15.
2-bMENgEckKMrUtagkmµénmFümKMrUtag ¬]TahrN_¦ dMeNaHRsay
16.
dMeNaHRsay ¬t¦
17.
3>bMENgEckKMrUtagkmµénsmamaRt ¬
Sampling distribution of the proportion ¦
18.
3>bMENgEckKMrUtagkmµénsmamaRt ¬t¦
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
37.
cb;edaybribUN_ GrKuNcMeBaHkarykcitþTukdak;¡ rrr<sss
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