Taller 3 Estadistica

 

]hccfr 1. @otfrvhcls mf Aloe`hozh. Fst`gha`ño mf gfm`h alo vhr`hozh alola`mh (Fchdlrhml plr Iu`ml Qhctls) OLGDTF: C@QDF]B Q@IABH 8. 

Alo ldjftl mf fst`ghr ch ahot`mhm gfm`h quf ihsth uo ac`fotf fo uoh alg`mh fo uo `gplrthotf rfsthurhotf mf Htchoth, sf rfahdhrlo cls mhtls mf uoh gufstrh mf =0 algfoshcfs. Quploih quf ch mfsv`ha`ño fstèomhr mf ch pldcha`ño fs $6. h)  ¼Auèc fs fc ghrifo mf frrlr phrh 06% mf aloe`hozh<

s`igh 7 6 ? o 7 =0 ? hceh 7 8 - >.06 ? hceh\4 7 hceh/4 ? z\hceh\4 7 hds(qolrg hds(qolrg(hceh\4)) (hceh\4)) ? F 7 z\hceh\4*s`igh/sqrt(o) z\hceh\4*s`igh/sqrt(o) ? F [8W 8.10009=

d)  Q` ch gfm`h pldcha`lohc fs $4=.2>, ¼auèc fs fc `otfrvhcl mf aloe`hozh mf 06% phrh

ch gfm`h pldcha`lohc< ? ? ? ? ? ? ? ?

x\dhrrh 7 4=.2> s`igh 7 6 o 7 =0 hceh 7 8 - >.06 hceh\4 7 hceh/4 z\hceh\4 7 hds(qolrg(hceh\4)) hds(qolrg(hceh\4)) F 7 z\hceh\4*s`igh/sqrt(o) z\hceh\4*s`igh/sqrt(o) CQA 7 x\dhrrh + F

? C@A 7 x\dhrrh - F ? CQA [8W 45.80009 ? C@A [8W 41.=>>>1

4. Ch rfv`sth ^chyd`cc rfplrtñ quf fc `oirfsl ehg`c`hr houhc gfm`l mf sus susar`ptlrfs fs $880 866 (^chyd`cc, fofrl mf 4>>5). Quploih quf ch fst`gha`ño mfc `oirfsl ehg`c`hr houhc gfm`l fstè dhshmh fo uoh gufstrh mf 2> ehg`c`hs y quf plr mhtls mf fstum`ls hotfr`lrfs ch mfsv`ha`ño fstèomhr pldcha`lohc fs alola`mh y fs ρ  7 $1> >>>.

 

h)  ^rlplra`lof uo `otfrvhcl `otfrvhcl mf fst`gha`ño mf 0>% mf aloe`hozh phrh ch gfm`h

pldcha`lohc. ? ? ? ?

x\dhrrh 7 880866 s`igh 7 1>>>> o 7 2> hceh 7 8 - >.0>

? hceh\4 7 7 hceh/4 ? z\hceh\4 hds(qolrg(hceh\4)) hds(qolrg(hceh\4)) ? F 7 z\hceh\4*s`igh/sqrt(o) z\hceh\4*s`igh/sqrt(o) ? CQA 7 x\dhrrh + F ? C@A 7 x\dhrrh - F ? CQA [8W 84=594 ? C@A [8W 881512

d) Ahcaucf uo `otfrvhcl mf 06%. ? x\dhrrh 7 880866 ? s`igh 7 1>>>> ? o 7 2> ? hceh 7 8 - >.06 ? hceh\4 7 hceh/4 ? z\hceh\4 7 hds(qolrg(hceh\4)) hds(qolrg(hceh\4)) ? F 7 z\hceh\4*s`igh/sqrt(o) z\hceh\4*s`igh/sqrt(o) ? CQA 7 x\dhrrh + F ? C@A 7 x\dhrrh - F ? CQA [8W 846942.0 ? C@A [8W 884628.8

a)^rlplra`lof hblrh uo `otfrvhcl mf fst`gha`ño mf 00%. ? x\dhrrh 7 880866 ? s`igh 7 1>>>> ? o 7 2> ? hceh 7 8 - >.00 ? hceh\4 7 hceh/4 ? z\hceh\4 7 hds(qolrg(hceh\4)) hds(qolrg(hceh\4)) ? F 7 z\hceh\4*s`igh/sqrt(o) z\hceh\4*s`igh/sqrt(o) ? CQA 7 x\dhrrh + F ? C@A 7 x\dhrrh - F ? CQA [8W 84990=.5 ? C@A [8W 88>686.=

 

m ) ¼Xuà cf suafmf h ch hgpc`tum mfc `otfrvhcl mf aloe`hozh h gfm`mh quf fc o`vfc mf

aloe`hozh hugfoth< ¼^hrfaf fstl rhzlohdcf< Fxpc`quf. Hc glgfotl quf fc `otfrvhcl arfaf, ch hgpc`tum thgd`ào cl bhaf, cl auhc fs rhzlohdcf mfd`ml h quf hc hugfothr ch aloe`hozh hugfoth ch `oafrt`mugdrf.

1. ]bf Yhcc Qtrfft Jlurohc `oelrgñ quf fo 4>>2 cls haa`mfotfs hutlglv`cçst`als cf alsthrlo $854 g`c g`cclofs h Fsthmls Vo`mls ( ]bf Yhcc Qtrfft Jlurohc , 6 mf ghrzl mf 4>>2). Fc alstl prlgfm`l plr pfrsloh mf cls haa`mfotfs hutlglv`cçst`als fo fc èrfh mf ]hgph, Eclr`mh, euf alos`mfrhml mf $8 600. Quploih quf fstf alstl prlgfm`l sf dhsñ fo uoh gufstrh mf 6> pfrslohs quf fstuv`frlo `ovlcuarhmhs fo m`abls pfrahoafs y quf ch mfsv`ha`ño fstèomhr pldcha`lohc fsρ  7 $5>>. ¼Auèc fs fc ghrifo mf frrlr phrh uo `otfrvhcl mf 06% mf aloe`hozh< ? x\dhrrh 7 8600 ? s`igh 7 5>> ? o 7 6> ? hceh 7 8 - >.06 ? hceh\4 7 hceh/4 ? z\hceh\4 7 hds(qolrg(hceh\4)) hds(qolrg(hceh\4)) ? F 7 z\hceh\4*s`igh/sqrt(o) z\hceh\4*s`igh/sqrt(o) ? CQA 7 x\dhrrh + F ? C@A 7 x\dhrrh - F ? CQA [8W 8956.1>2 ? C@A [8W 8=14.504

¼Xuà rfalgfomhrçh s` fc fstum`l rfqu`r`frh uo ghrifo mf frrlr mf $86> l gfols< ? x\dhrrh 7 8600 ? s`igh 7 5>> ? o 7 6> ? hceh 7 8 - >.06 ? hceh\4 7 hceh/4 ? z\hceh\4 7 hds(qolrg(hceh\4)) hds(qolrg(hceh\4)) ? F 7 z\hceh\4*s`igh/sqrt(o) z\hceh\4*s`igh/sqrt(o) ? F [8W 855.1>26

=. H phrt`r mf ch `oelrgha`ño sug`o`strhmh plr uoh gufstrh hcfhtlr`h mf 0> clahcfs algfra`hcfs mf ch a`umhm sf mftfrg`oñ fc `otfrvhcl mf aloe`hozh hc 05%: @ 7 (=4; 62), phrh fc ihstl gfm`l gfosuhc plr ehg`c`h (fo mñchrfs) fo fcfatr`a`mhm. Mftfrg`of (just`e` (just`e`ahoml ahoml chs rfspufsths):

 

  h) Ch fst`gha`ño puotuhc quf mhrçhgls phrh fc ihstl gfosuhc plr ehg`c`h fo fcfatr`a`mhm fo fsh a`umhm;

d) ¼Xuà oúgfrl mf ehg`c`hs tfomrçhgls quf sfcfaa`lohr hc hzhr algl gço`gl phrh

ihrhot`zhrols, alo uoh aloe`hozh mfc 05%, uoh fst`gha`ño mf m`abl ihstl gfm`l alo uo frrlr gèx`gl ol supfr`lr h 1 mñchrfs< ? F 7 1 ? s`igh 7 19.>= ? hceh 7 8 - >.05 ? hceh\4 7 hceh/4 ? z\hceh\4 7 hds(qolrg(hceh\4)) hds(qolrg(hceh\4)) ? o 7 rluom((z\hceh\4*s`igh/F)_4) rluom((z\hceh\4*s`igh/F)_4) ? o [8W 5=1