Tsu-2011 - ieeetsu

magaliTi 4. mkvlevars surs Seamowmos hipoTeza, rom maSvelebis sa-
Sualo asaki 24 welze metia. man SemTxveviT SearCia 36 maSveli da daadgina,
rom maTi saSualo asaki iyo 24.7 weli, xolo Sesworebuli standartuli
gadaxra 2 weli. gvaqvs Tu ara sakmarisi safuZveli hipoTezis
misaRebad 0.05 mniSvnelovnebis doniT? ipoveT P -mniSvneloba.
amoxsna. H 0
: E 24 , H1 : E 24 . kriteriumis mniSvneloba iqneba:
24.7 24 z 2.1 .
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gamovTvaloT P -mniSvneloba: P1 ( z) 10.9821 0.0179 . vinaidan
P , amitom H
0
unda ukuvagdoT, anu sakmarisi safuZveli arsebobs imisa,
rom maSvelis saSualo asaki metia 24 welze.
SevniSnavT, rom Tu 0.01 , maSin ar gveqneboda H0
-is uaryofis safuZveli.
magaliTi 5. meteorologis azriT qalaqSi qaris saSualo siCqarea
8km/sT. SemTxveviT SerCeuli 32 dRis monacemebiT qaris saSualo siCqare
aRmoCnda 8.2 km/sT, xolo Sesworebuli standartuli gadaxra ki 0.6km/sT.
0.05 mniSvnelovnebis doniT gvaqvs Tu ara safuZveli ar daveTanxmoT
meteorologs? gamoiyeneT P -mniSvnelobis meTodi.
amoxsna. H 0
: E 8, H1 : E 8. gamovTvaloT kriteriumis mniSvneloba:
8.2 8
z 1.89 .
0.6/ 32
vipovoT P -mniSvneloba: P 2 [1 (| z|)] 2 (1 0.9706) 0.0294 . vinaidan,
P , amitom H
0
ar unda uarvyoT, anu ara gvaqvs sakmarisi safuZveli
rom ar gaviziaroT meteorologis azri.
magaliTi 6. dakvirvebebis ra minimaluri raodenobaa saWiro imisaTvis,
rom miRweul iqna 0.05-is toli mniSvnelovnebis done da 0.9-is toli
simZlavre N( ,49) normaluri populaciis saSualos Sesaxeb ZiriTadi
H0 : E 8 hipoTezis Semowmebisas H 1
: E 11 alternativis winaaRmdeg.
2
amoxsna. am SemTxvevaSi 0.05 ; 10.9 0.1 ; a 0
8 ; a 1
11;
49 .
normaluri ganawilebis cxrilidan vpoulobT, rom z 1.64 da z 1.29 .
amitom Sesabamisi formulis ZaliT n 48.
amocanebi
1. isargebleT standartuli normaluri ganawilebis cxriliT da
ipoveT kritikuli mniSvneloba (an mniSvnelobebi) roca: a). 0.01 , krit.
ormxrivia; b). 0.05 , krit. marj. calmxrivia; g). 0.05 , krit. marc. calmxrivia;
d). 0.1, krit. marc. calmxrivia; e). 0.05 , krit. ormxrivia;
v). 0.04 , krit. marj. calmxrivia; z). 0.01 , krit. marc. calmxrivia;
T). 0.1, krit. ormxrivia; i). 0.02 , krit. marj. calmxrivia; k).
0.02 , krit. ormxrivia.
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