Tsu-2011 - ieeetsu

X
E
gamoiyene T , T.x. n 1
*
'
S / n
* populacia unda iyos daaxloebiT normalurad ganawilebuli.
magaliTebis amoxsnis nimuSebi:
magaliTi 1. jandacvis ministris mtkicebiT eqimis saSualo wliuri
Semosavali Seadgens 24000 lars. SemTxveviT SerCeuli 10 eqimis wliuri
Semosavlis saSualo aRmoCnda 23450 lari, xolo Sesworebuli
standartuli gadaxra ki 400 lari. gvaqvs Tu ara sakmarisi safuZveli
ministris mtkicebis uarsayofad 0.05 mniSvnelovnebis doniT?
amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
'
H0 : E 24000 , H1 : E 24000 . pirobis Tanaxmad, gvaqvs: x 23450 , s 400 ,
n 10 . stiudentis ganawilebis cxrilidan, 0.05 -isa da Tavisuflebis
n1 9 xarisxisaTvis, vpoulobT saWiro kritikul mniSvnelobebs:
tn
1, /2
2.262 da tn 1, /2
2.262 . kriteriumis mniSvneloba ki iqneba:
xE
23450 24000
t 4.35 .
'
s / n 400/ 10
vinaidan, 4.35 2.262 , amitom nulovani hipoTeza unda ukuvagdoT,
anu Cven gvaqvs sakmarisi safuZveli ministris mtkicebis uarsayofad.
magaliTi 2. ganaTlebis ministris mtkicebiT saTadarigo maswavleblis
saSualo xelfasi dReSi naklebia 60 larze. gvaqvs Tu ara sakmarisi
safuZveli ministris mtkicebis misaRebad 0.1 mniSvnelovnebis doniT,
Tu SemTxveviT SerCeul 8 skolaSi dafiqsirda Semdegi monacemebi: 60 56
60 55 70 55 60 55.
amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H0 : E 60 , H1 : E 60 . SerCevis moculobaa n 8. stiudentis ganawilebis
cxrilidan, 0.1-isa da Tavisuflebis n1 7 xarisxisaTvis, vpoulobT
saWiro kritikul mniSvnelobas: tn
1, 1.415 . kriteriumis mniSvnelobis
gamosaTvlelad, winaswar gamovTvaloT SerCeviTi saSualo da
n
1
Sesworebuli standartuli gadaxra: x
xi
58.88
da
1
s ( x x) 5.08 . amitom:
'
n
2
i
n1
i1
124
n i 1
xE
58.88 60
t 0.624 .
'
s / n 5.08/ 8
vinaidan, kriteriumis mniSvneloba ar vardeba kritikul areSi,
nulovani hipoTeza ar unda ukuvagdoT, anu Cven ar gvaqvs sakmarisi
safuZveli ministris mtkicebis dasadastureblad.
magaliTi 3. vipovoT P -mniSvneloba, Tu kriteriumis mniSvneloba
stiudentis ganawilebisaTvis (T kriteriumis statistikis t kriteriumis