Tsu-2011 - ieeetsu

sixSire alubali marwyvi forToxali feixo yurZeni
dakvirvebuli, o i
32 28 16 14 10
mosalodneli, e i
20 20 20 20 20
nabiji 1. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H
0
: momxmareblebisaTvis mniSvneloba ara aqvs gemos.
H
1
: momxmareblebisaTvis mniSvneloba aqvs gemos.
nabiji 2. vipovoT kritikuli mniSvneloba. aq Tavisuflebis xarisxia
5 – 1 = 4, 0.05 . Sesabamisad, xi-kvadrat ganawilebis cxrilidan
2 2
vpoulobT, rom CV . . n
1, 4,0.05
9.488 ..
nabiji 3. gamovTvaloT kriteriumis mniSvneloba:
2 2 2 2
2 ( oi
ei) (32 20) (28 20) (16 20)
...
e 20 20 20
i
i
2 2
(14 20) (10 20)
18 .
20 20
nabiji 4. gadawyvetilebis miReba: vinaidan 18 > 9.488, amitom nulovani
hipoTeza unda ukuvagdoT, anu Cven gvaqvs sakmarisi safuZveli raTa CavTvaloT,
rom momxmareblebisaTvis mniSvneloba aqvs limonaTis gemos.
magaliTi 2. statistikis departamentis monacemebiT, im adamianebidan
vinc erTxel dakarga samuSao, 38% Soulobs axal samuSaos, 32% xdeba
naxevraddasaqmebuli, 23% muSaobs kontraqtis gareSe da 7% iwyebs sakuTar
bizness. imis gasarkvevad, es procentebi aris Tu ara mdgradi, gamoki-
Txul iqna A kompaniidan daTxovnili 300 adamiani da aRmoCnda, rom 122
iSova axali samuSao, 85 naxevraddasaqmebulia, 76 muSaobs kontraqtis gareSe
da 17 adamianma daiwyo sakuTari biznesi. 0.1 mniSvnelovnebis doniT
SeamowmeT hipoTeza procentebis mdgradobis Sesaxeb. isargebleT rogorc
Cveulebrivi, ise P -mniSvnelobis meTodiT.misargebleT
amoxsna.
nabiji 1. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H
0
: meored dasaqmebul adamianTa ganawileba Semdegia: 38% muSaobs
axal samsaxurSi, 32% -- naxevraddasaqmebulia, 23% muSaobs kontraqtis
gareSe da 7% daiwyo sakuTari biznesi.
H
1
: ganawileba ar aris iseTi rogorc nulovan hipoTezaSia.
nabiji 2. vipovoT kritikuli mniSvneloba. am SemTxvevaSi Tavisuflebis
xarisxi df . . 41 3, 0.1. amitom, xi-kvadrat ganawilebis cxrilidan
vpoulobT, rom CV . . n
1, 3,0.1
6.251 ..
2 2
nabiji 3. gamovTvaloT kriteriumis mniSvneloba. mosalodnel sixSireTa
mniSvnelobebi gamoiTvleba Semdegnairad:
e1 300 0.38 114 , e 2
300 0.32 96 , e 3
300 0.23 69 , e 4
300 0.07 21 .
Sesabamisad,
2 2 2 2 2
2 ( oi
ei) (122 114) (85 96) (76 69) (17 21)
... 3.2939 .
e 114 86 69 21
i
i
187