Trabajo N°07 Unidad Ii Ejercicios de Prueba de Hipotesis de Medi A Poblacional

 

XRNBNGI K¶60 SKDHNH DD< CGCRJDJDIZ HC VRSCBN HC MDVIXCZDZ HC ECHD N VIBONJDIKNO CGCRJDJDI K¶>. K¶>. On hurnjdúk hc ons biebdoons hc >66 wntt quc anbrdjn ukn ceprcsn sd`uc ukn hdstrdbujdúk kireno jik ukn hcsvdnjdúk hc >26 mirns. Zu vdhn echdn cstî `nrnktdznhn hurnktc uk eåkdei hc =66 mirns. Zc csji`c no nznr ukn eucstrn hc 36 biebdoons hc uk oitc y, hcspuäs hc jiepribnrons, sc ibtdckc ukn vdhn echdn hc 036 mirns. mirns . n)7 Jik uk kdvco hc sd`kdadjnjdúk hc 6,6>. ¹Mnbrån quc rcjmnznr co oitc pir ki juepodr on `nrnktån9 >7 Ckukjdneis ons mdpútcsds kuon y notcrkntdvn7 M67 ³ ≣ =66 M>7 ³ ?=66  ?=66  27 Wikn hc njcptnjdúk ξ 5 6.6>< 6.6><

zξ 5 2.::  2.:: 

Hctcredkneis co dktcrvnoi hc jikadnkzn7

:7 Qcrdadjnjdúk. x 5 036 87 Hcjdsdúk Rcjmnzneis on mdpútcsds kuon M6. Jik uk kdvco hc sd`kdadjnjdúk hco >%. B)7 ¹Juîo cs on pribnbdodhnh hc jiectcr co crrir tdpi DD sd co tdcepi echdi hc vdhn hc ons biebdoons cs 046 mirns9 Xckceis quc pcksnr quc ck rcnodhnh on vcrhnhcrn echdn cs ο5046ο5046. Cktikjcs on hdstrdbujdúk hc on echdn encstrno cs7  x ¸ K 

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046   >26 ∗ 3 6

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Júei co crrir hc tdpi DD cs7 ki rcjmnznr on mdpútcsds kuon junkhi cstn cs anosn, on pribnbdodhnh hc jiectcr co crrir hc tdpi DD cs7 5 V (crrir tdpi

) 5 p  KI R MI ∭ MI CZ A  ¹

Vcri ‟ki rcjmnznr on mdpútcsds kuoi ‟scrdn quc co cstnhåstdji ki jnd`n ck zikn hc rcjmnzi Cs hcjdr quc  x¸ ; 016,81

 

Cktikjcs on pribnbdodhnh cs7

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 V W ;

016,81 −046

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 V W ;−>,08 5>− V ¹

CGCRJDJDI K¶2. K¶2. Zc snbc quc on echdn hco jiksuei hc ckcr`ån coäjtrdjn ck jdcrtn privdkjdn cs hc 02> lwm. Skn ceprcsn tcjkioú`djn hc on rc`dúk jrcc quc sus cepocnhis jiksueck eîs quc co priechdi privdkjdno. Rcji`c dkairenjdúk sibrc ois jiksueis hc 26 cepocnhis csji`dhis no nznr, y ibtdckc ois sd`udcktcs hntis7 0>6 0:2 138 016

008 103 030 0>=

=>8 033 0:1 008

01= 006 100 080

=2: 116 040 041

Zd on hdstrdbujdúk hco jiksuei ecksuno hc ckcr`ån coäjtrdjn cs kireno7 >. ¹Mny cvdhckjdns pnrn nadrenr quc co priechdi hco jiksuei hc ckcr`ån coäjtrdjn mi`nrcþi hc ois cepocnhis hc on ceprcsn cs supcrdir n on echdn hco jiksuei n kdvco privdkjdno9 Ssnr uk kdvco hc sd`kdadjnjdúk hco >6%. Vnsi >7 >7 Hcadkdr on vnrdnboc. On vnrdnboc cs7 ]7 jiksuei ecksuno hc ckcr`ån coäjtrdjn mi`nrcþn hc uk cepocnhi hc on ceprcsn tcjkioú`djn Znbceis quc on hdstrdbujdúk cs kireno. Vcri hcsjikijceis on echdn y co hcsvåi cstîkhnr.  ] K ¹

Vnsi 27 27 Vonktcnr ons mdpútcsds cstnhåstdjns On mdpútcsds kuon pistuon quc co priechdi hco jiksuei hc ois cepocnhis cs d`uno no privdkjdno7 5

 Mi 7 ο

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On mdpútcsds notcrkntdvn cs quc co priechdi hco jiksuei cs supcrdir no priechdi privdkjdno7  M > 7 ο ; 02>

  Vnsi :7 :7 Cstnbocjcr uk cstnhåstdji hc prucbn. Cstc pukti cs depirtnktc. Znbceis quc, sd on vnrdnboc ] cs kireno y sc jikijc co hcsvåi cstîkhnr pibonjdikno ϊϊ, cktikjcs co cstnhåstdji cs7  x − ο ❞

 K   (( 6,> )

∗ k Vcri sd on vnrdnboc ] cs kireno y ki sc jikijc co hcsvåi cstîkhnr pibonjdikno, cktikjcs sc oi cstden usnkhi co hcsvåi cstîkhnr encstrno Z. T co cstnhåstdji quc rcsuotn hc sustdtudr ϊ pir ZZ tdckc hdstrdbujdúk t hc Ztuhckt jik k‚> k‚> `rnhis  `rnhis hc odbcrtnh7  x − ο s −t k−> ~

∗ k Vnsi 87 87 Zcocjjdiknr uk kdvco hc sd`kdadjnjdúk Co kdvco cs hco >6%. Vnsi 37 37 Hctcredknr on zikn hc rcjmnzi y on rc`on hc hcjdsdúk Jiei on prucbn cs ukdontcrno hcrcjmn, rcjmnznrceis on mdpútcsds kuon sd sc ibscrvnk vnoircs ‟`rnkhcs― hco cstnhåstdji hc prucbn. ¹^uä sd`kdadjn ‟`rnkhcs―9 Jiei co kdvco hc sd`kdadjnjdúk cs hco >6%, co vnoir jråtdji hcshc co juno sc vnk n jiksdhcrnr ‟`rnkhcs― n ois vnoircs hco cstnhåstdji hc prucbn scrî nquco vnoir hc on vnrdnboc t hc suhck quc hcgn uk îrcn hc 6,> n su hcrcjmn. t>4,:200 QCKXSRN VIODKNR RNTJDKHN ACJMN HC CKXRC@N HC XRNBGI >0 HC IJXSBRC CZXNHDZXDJN NVODJNHN HC ON DKQCZXD@NJDIK- SKS ADODNO N@SNTXDN JIHD@I7 6662>06804