Prueba de Hipótesis Entre Dos Medias Con Muestras Pequeñas.i 2022

 

Lmdhrmthr`h Mcmlbàs`gh Ghkpifhr =.N? 1 N= 1 4.-

ẅ(k`c)

s(k`c)

=0.444 =2.=:2 ¹M  ; ¹G ¹M  ≯ ¹G

9.29: 9.??:

c (`cf`v) 0 0

Tig`ictikicti, uc mcmlbàs`gh pirf`÷ kís rmp`f mp`fi iz q qu ui il il h htr trh h mcm mcmllbàs` bàs`gh gh y, g f`jiricg`m s`bc`gmvm ictri lhs fhs p pr` pr`kir kir mcmlbà mcmlbàs`g s`gh h m 0 `cf`v` `cf`v`fuh fuhss uc ucm mv ghkpiticg`m. _mrm gmfm kif`gmkicth

Zmr`mczm ghcauctm

(c= -=)s=4 + (c4 - =)s44

W4p ;

ν; ?.=? tg ; =.26:

@cf`v`fuh

c= + c4 - 4 4

=

4

4

W4p ; (0 -=)(9.29:)  + (0 - =)(9.??:) 0+0-4 W4p ; 40.?024

Mcmlbàs`gh Ghkpifhr Wp ; 9.706

6.-

=:.9 =4

M.T

49.9 4?.9

M.M

∑(▎(( =)/=+= /4O )) Ưẅ= - ẅ4 ;

Wp *

∑(=/0+=/0) Ưẅ= - ẅ4 ;

9.706

Ưẅ= - ẅ4 ;

9.706

?.?9

?.62=

tg ; -=.26:

Ưẅ= - ẅ4 ; 4.967 7.-

t; t ; ?. ?.>? >?> >

?.69

?.69

?

tg ; t ; ?. ?.>?> >?>

(ẅ= - ẅ4) - (¹= - ¹4)N?

Ưẅ= - ẅ4 

9.-

Ghcglus`÷c1 si mgiptm lm n`p÷tis`s n`p÷tis`s culm ikp kph hp prrhkif hkif`h `h ic k`c k`cu uths ths q qu ui lis lis t

 

 

mrti mrti fi sus victms victms mcti mcti uc cuivh cuivh ghkpi ghkpifhr fhr.. Il ghkpi ghkpifhr fhr mcucg` mcucg`mdm mdm qui su kmrgm kmrgm ictrm ictrm ml thrric thrricti ti smcb smcb hkh risultmfh, ml`v`m il fhlhr kís prhcth. Il lmdhrmthr`h qui jmdr`gm il pr`kir mcmlbàs`gh fisim prhdmr qui hfugths hfug ths y, phr ghcs`bu`i ghcs`bu`icti, cti, qui lm mrkmg` mrkmg`÷c ÷c f fi i su ghkpi ghkpifhr fhr is jmlsm. jmlsm. Ghkh pruidm pruidm pril`k` pril`k`cmr, cmr, si suk`c suk`c iz ml fëm furmcti furmcti 7 sikmcms. Ic lms s`bu`ictis 7 sikmcms, si prhphrg`hc÷ m lhs k`skhs suaiths il prhfugth f si rib`str÷ il ikph prhkif`h ic k`cuths qui lis thk÷ ml`v`mr il fhlhr1

7

6 47 49

=6.9 =:.9

9 4> 46

:

2

>

0

ẅ

s

=? ==.9

4=.9 =2

=>.9 =9

=9.9 =0.4444 9. 9.29:?6 =7 =2.=::2 9.??:

M.T M uc c`vil ν ; ?.=?, ¸ix`sti mlbucm f`jiricg`m s`bc`gmvm f`jiricg`m s`bc`gmvm ic il ikph qui thk÷ m lhs kif`gmkicths ml`v`mr il fhlhr8 ?.?9 b.l ; c= + c4 - 4 b.l b.l ; =: =.26:

?

 

=

 

4 tg

 

, ym qui il vmlhr fi t gmi ic írim fi mgiptmg`÷c5 hsim qui ch nmy f`jiricg`m, ic il hkh ml`v`mr il fhlhr, ghc mkdhs mcmlbàs`ghs .

 

 

uëcih ghc h ix`sti `str÷ il lm

 

Kàthfh fi Gmpmg. ẅ( ẅ(vi vict ctms ms $/f $/fëm ëm)) s( s(vi vict ctms ms $ $/f /fëm ëm)) Hr`b`cml(=) :>> 74.:7 Cuivh (4) 2?: 46.>6 N? 1 ¹=  ; ¹4 =.N= 1 ¹=  < ¹4 4.-

(c= -=)s=4 + (c4 - =)s44

W4p ;

c (ik (ikpl pl)) ν ; ?. ?.?9 ?9 =: == tg ; =. =.2?> ¹4  ; ¹= ¹4  3 ¹= Zmr`mczm ghcauctm

Ycm hrbmc`zmg`÷c pi pirs rshc hcml ml fi vi vict ctm m victms f`mr`ms prh == ikplimfhs gmp fi fisv sv`m `mg` g`÷c ÷c istí istícf cf victms mukictm g mukictm g

c= + c4 - 4 W4p ;

(=: -=)(74.:7)4 + (== - =)(46.>6) 4 =: + == - 4

W4p ; >>9.:6?6

Fisv`mg`÷c ist. Ghcauctm Wp ; 40.2:?

6.-

M.T

∑(( =)/=+= /4 )  

Ưẅ= - ẅ4 ;

Wp *

Ưẅ= - ẅ4 ;

40.2:?

∑(=/=:+=/= =)

Ưẅ= - ẅ4 ;

40.2:?

?.704

Ưẅ= - ẅ4 ; ==.:9: 7.-

t;

?.69

tg ; -=.2?> t;

(ẅ= - ẅ4) - (¹= - ¹4)N?

Ưẅ= - ẅ4  t ; -=.966 -=.966

?.?9

si mg mgi 9.- Ghcglus`÷c1 si il prhkif`h fi vi

 

  i gràf`th y sibur siburhs hs nm fismrrhllmfh uc cuivh kàt kàthfh hfh fi mltm tigchlhbëm tigchlhbëm pmrm gmpmg`tmr gmpmg`tmr ml cuivh s. Lm ghkpmýëm hdtuvh ucm kuistrm fi =: ikplimfhs gmpmg`tmfhs fi lm kmcirm hr`b`cml y icghctr÷ if`h fi $:>> ghc fisv`mg`÷c istícfmr fi lm kuistrm fi $74.:7. $ 74.:7. Vmkd`àc thkmrhc ucm kuistrm fi mg`tmfhs ghc il kàthfh cuivh y icghctrmrhc uc prhkif`h fi victms f`mr`ms fi $2?: ghc mr fi lm kuistrm fi $46.>6. _mrm ν ; ?.?9, ¸_uifi lm ghkpmýëm ghcglu ghcglu`r `r qui il prhkif`h f`mr f`mr`h `h fi c il cuivh plmc8

M.M

b.l ; c= + c4 - 4 b. b.ll ; 49 ? -=.966

 

ptm lm n`p÷tis`s culm, ym qui il vmlhr fi t gmi ic írim fi mgiptmg`÷c, phr lh tmcth, ctms f`mr`ms is `buml ghc mkdhs kàthfhs fi gmpmg`tmg`÷c.

 

=.4.-

Kmrgm fi muth D M N? 1 N= 1

ẅ(kpb)

s(kpb)

74.= 42.4

6.7? 7.>?

c ((mu muth ths) s) ν ; ?. ?.?= ?= 0 =4 tg ; 4.970

Ycm hrbmc`zmg`÷c ig`icg`m ic il gh jmdr mdr`gmc `gmcti tiss f` f`s sct ct jui 7.> kpb. Lhs 0 _mrm ν ; ?.?=, ¸si

¹D  ; ¹M ¹D  3 ¹M

W4p ;

Zmr`mczm ghcauctm

(c= -=)s=4 + (c4 - =)s44 c= + c4 - 4

W4p ;

(0 -=)(6.7)4 + (=4 - =)(7.>) 4 0 + =4 - 4

W4p ; =:.=697

Fisv`mg`÷c ist. Ghcauctm Wp ; 6.?=>

6.-

M

9.-

Ghcglus`÷c1 ssi i rig k`llmai prhkif`h

∑(( =)/=+= /4 )  

Ưẅ= - ẅ4 ;

Wp *

Ưẅ= - ẅ4 ;

6.?=>

∑(=/0+=/=4 )

Ưẅ= - ẅ4 ;

6.?=>

?.66=

Ưẅ= - ẅ4 ; =.224 7.-

t;

(ẅ= - ẅ4) - (¹= - ¹4)N?

Ưẅ= - ẅ4  t ; 4.2: 4.2:: :

 

  i `cvisbmg`÷c fi kirgmfhs kirgmfhs siligg`hcm vmr`hs vmr`hs khfilhs fi fi muthk÷v`lis gmfm mýh y ivmlñm su sukh fi ghkdusdli. Isti mýh, ic il mcíl`s`s fi fhs khfilhs sudghkpmgths s`k`lmris fi fhs hs, il k`llmai prhkif`h fi =4 muths fi lm kmrgm M jui 42.4 k`llms phr bml÷c, y lm fisv`mg`÷c istícfmr muths fi lm kmrgm D qui si prhdmrhc prhkif`mrhc 74.= kpb ghc fisv`mg`÷c istícfmr fi 6.7 kpb. puifi ghcglu`r qui lm kmrgm M fm uc k`llmai prhkif`h kichr qui lm kmrgm D D8 8

.M

M.T

?.60

?.?= b.l ; c= + c4 - 4 b. b.ll ; =0

?

tg ; 4.970? t ; 4.2: 4.2:: :

 

nmzm lm n`p÷tis`s culm, ym qui il vmlhr fi t gmi ic írim fi rignmzh, phr lh tmcth, il i lm kmrgm fi muth D5 is kmyhr ml k`llmai prhkif`h fi lm kmrgm M .