Tsu-2011 - ieeetsu

Svnelovnebis doniT gvaqvs Tu ara safuZveli davujeroT mkvlevars?
aageT 95%-iani ndobis intervali realuri saSualosaTvis.
amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H0 : E 200 , H1 : E 200 . radganac populaciis standartuli gadaxra
ucnobia da n 30, amitom unda gamoviyenoT T testi. am SemTxvevaSi
ormxrivi kriteriumis Sesabamisi kritikuli mniSvnelobebia:
tn
1, /2
t9,0.025 2.262 da tn 1, /2
t9,0.025 2.262 . kriteriumis mniSvneloba
iqneba:
x E
198.2 200 1.8
t 1.72 .
'
s / n 3.3/
10 1.0436
Sesabamisad, nulovani hipoTeza ar unda ukuvagdoT, anu ara
gvaqvs sakmarisi safuZveli uarvyoT mkvlevaris mosazreba, rom Roris
saSualo wonaa 200 funti.
avagoT 95%-iani ndobis intervali saSualosaTvis:
'
s
'
s
x t/2 E
x t/2
,
n
n
3.3 3.3
198.2 2.262 E 198.2 2.262 ,
10 10
195.8 E
200.6 .
rogorc vxedavT, 95%-iani ndobis intervali (anu ndobis intervali
mniSvnelovnebis doniT 0.05 ) saSualosaTvis E moicavs
saSualos hipoTetur mniSvnelobas E 200 .
amocanebi
1. Txilamurebis maRaziis menejeris mtkicebiT zamTris
Tveebis ganmavlobaSi misi maRaziis saSualo dRiuri brunva
Seadgens 1800 lars. SemTxveviT SerCeuli zamTris 10 dRis saSualo
dRiuri brunva aRmoCnda 1830 lari. populaciis standartuli
gadaxraa 200 lari. 0.05 mniSvnelovnebis doniT gvaqvs Tu ara
safuZveli uarvyoT menejeris mtkicebuleba? aageT 95%-iani ndobis
intervali saSualosaTvis. aris Tu ara ndobis intervalis
interpretacia TanxvedraSi hipoTezis Semowmebis SedegTan? igulisxmeT,
rom sidide ganawilebulia normalurad.
2. samgzavro avtobuss saSualod gadayavs 42 mgzavri. gasul
wlebSi populaciis standartuli gadaxra Seadgenda 8-s. mimdinare
wels SemTxveviT SerCeuli 10 avtobusis mgzavrTa saSualo
aRmoCnda 48. 0.1 mniSvnelovnebis doniT SegviZlia Tu ara
davaskvnaT, rom saSualo igivea? aageT 90%-iani ndobis intervali
saSualosaTvis. aris Tu ara ndobis intervalis interpretacia
TanxvedraSi hipoTezis Semowmebis SedegTan? igulisxmeT, rom
sidide ganawilebulia normalurad.
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