Tsu-2011 - ieeetsu

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egioni I II III IV Tanaxmaa 87 62 56 93 13. iusticiis saministros ainteresebs srulwlovani mosaxleobis Sexeduleba nafic msajulTa institutis SemoRebis mimarT. Catarebuli gamokiTxvis qvemoTmoyvanili Sedegebis mixedviT, 0.1 mniSvnelovnebis doniT, SegviZlia Tu ara daaskvnaT, rom Sexeduleba dakavSirebulia adamianis sqesTan? sqesi eTanxmeba ar eTanxmeba gaurkvevelia mdedrobiTi 136 16 8 mamrobiTi 114 30 6 14. swrafi kvebis obieqtis menejerma gadawyvita gaarkvios Tu romel souss aniWeben momxmareblebi upiratesobas hamburgeris Wamisas. Catarebuli gamokiTxvis qvemoTmoyvanili Sedegebis mixedviT, 0.1 mniSvnelovnebis doniT, aris Tu ara momxmareblis sasurveli sousis saxeoba damokidebuli mis sqesze? sousi sqesi maionezi “ketCupi” mdogvi ----------------------------------------------------------------------------------------------- mdedrobiTi 25 14 8 mamrobiTi 15 18 10 15. gamokiTxul iqna 40 da 50 wlis investorebi fulis ganTavsebis gzebis Sesaxeb. miRebuli manacemebis mixedviT, 0.05 mniSvnelovnebis doniT, aris Tu ara kavSiri investoris asaksa da fulis ganTavsebis gzebs Soris? didi mcire saerTaSoriso fuladi saaqcio saaqcio saaqcio bazris fondi fondi fondi fondi obligacia ----------------------------------------------------------------------------------------------------------------------- 40 wlis 20 10 10 15 45 50 wlis 42 24 24 6 24 16. zoologiuri maRaziis mepatrones ainteresebs dakavSirebulia Tu ara arCeuli cxovelis saxeoba adamianis sqesTan. qvemoTmoyvanili monacemebis mixedviT, 0.1 mniSvnelovnebis doniT, SeamowmeT Sesabamisi hipoTeza. cxovelis saxeoba ---------------------------------------------------- ZaRli kata Citi mdedrobiTi 23 4 8 mamrobiTi 32 27 16 17. gamokiTxul iqna 3 maRaziis 200 – 200 momxmarebeli, romlebic sargebloben sakredito baraTebiT. maT dausves kiTxva “qondaT Tu ara 245
sakredito baraTiT sargeblobisas problemebi?” 0.01 mniSvnelovnebis doniT SeiZleba Tu ara davaskvnaT, rom proporciebi erTidaigivea? maRazia I MmaRazia II maRazia III diax 87 56 43 ara 113 144 157 jami 200 200 200 18. SemTxveviT SearCies kvira da daTvales qalaqis sam sxvadasxva avtosadgomze yovedRiurad gaCerebul avtomobilTa raodenoba. SeamowmeT hipoTeza imis Sesaxeb, rom 0.01 mniSvnelovnebis doniT ar aris gansxvaveba am avtosadgomebze gaCerebul avtomobilTa raodenobebs Soris. avtosadgomi I avtosadgomi II avtosadgomi III 203 319 89 162 321 126 190 271 115 219 194 92 188 342 106 209 423 100 212 199 94 19. mamakacis sami tipis fexsacmelis qvemoTmoyvanili fasebis mixedviT, 0.05 mniSvnelovnebis doniT, SegviZlia Tu ara davaskvnaT, rom fasebis saSualoebs Soris mniSvnelovani gansxvavebaa? oficialuri yoveldRiuri sportuli 110 80 64 95 100 66 95 135 70 265 90 92 59 80 70 50 20. firmis direqtors ainteresebs aris Tu ara gansxvaveba im droebis saSualoebs Soris, rac misi TanamSromlebis sam jgufs sWirdeba samsaxurSi misasvlelad. 0.05 mniSvnelovnebis doniT SeuZlia Tu ara firmis direqtors daaskvnas, rom saSualoebs Soris arsebiTi gansxvavebaa? 246
Page 1 and 2:
omar furTuxia albaToba da statistik
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statistikuri hipoTezis Semowmeba no
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. Tu P( ) aTobebi. P( A): P( ) A
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I. kursze, romelzec sami jgufia, jg
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magaliTi 4. vipovoT albaToba imisa,
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3 10! 8910 С 10 120. 3!7! 6 mag
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C 2 4 6 2 496 C32 0,012 . davaleb
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sa, rom: a). orive nomeri iqneba er
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Tu A ,..., 1 , A2 An xdomilebaTa sr
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1 1 1 1 1 . * * m m1 m 1 m1 sauke
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kamaTelze movida kenti qula, C -- o
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amocanis pirobebSi cxadia agreTve,
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is SemTxvevaSi ukanaskneli Sedegi S
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Sesabamisad, saZiebeli albaToba alb
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oba aris wina cdaze CaWris albaTobi
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22. ( A B) , P( A| B) 1/3, PA ( )
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42. albaToba imisa, rom oTx damouki
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5). P{ xk} F( xk 0) F( xk ) (Se
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E( | B) xiP( xi | B) . 1 cxadia,
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{ ggg,ggs,gsg,sgg,gss,sgs,ssg, sss}
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magaliTi 6. mocemulia SemTxveviTi s
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P{ 2} P{ 0} P{ 2} 0.1 0.4
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aqedan gamomdinare, korelaciis koef
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17. kompiuteri daprogramebulia 0-da
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37. samSeneblo kompanias sTavazoben
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Tavi IV diskretul ganawilebaTa gamo
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ualod drois mocemul intervalSi xidz
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9. universitetis studentTa 30%-is a
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27. martis TveSi Semosuli satelefon
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43. umaRlesi ligis fexburTis matCeb
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va arcerT kamaTelze, maSin is arafe
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2 2 2 () D x f x dx . asimet
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gavixsenoT, rom ( MA) . meore mxri
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x amoxsna. visargebloT formuliT: F(
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a). ipoveT c ; b). gamoTvaleT moda;
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Tavi VI normaluri ganawileba SemTxv
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magaliTi 4. vipovoT albaToba imisa,
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X -s Soris mdebare aris farTobi 0.5
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amitom 12 a 16a 0.407 da 0.900 .
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cali SuSis sawmendidan ramdenis sig
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obili 56 mili/sT siCqariT moZraobis
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52. uwyveti SemTxveviTi sididis ga
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Tavi VII albaTobis Teoriis zRvariTi
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Tu axla gavixsenebT, rom ( x) ( x)
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amoxsna. SemoviRoT xdomilebebi: A {
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n n 2(0.005 ) 1 0.95, anu ( 0.005 )
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18. detalebis 80% I xarisxisaa. ram
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s t a t i s t i k a Tavi I wertilov
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ucnobi parametris maqsimaluri dasaj
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magaliTi 2. cnobilia, rom garkveuli
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ndobis intervali mexuTe klaselebis
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tervalisaTvis, roca n 10 ; e). 95%
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Tavi II ndobis intervali bernulis s
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4. gamokiTxuli 1015 axalgazrdidan 1
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Tavi III ndobis intervali dispersii
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18.6 19.5 20.2 20.4 19.3 21 20.3 19
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26. 22 balaxis sakreWi manqanis mie
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Tavi IV 2 hipoTezaTa Semowmeba saSu
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xE 43260 42000 z 1.32 . / n 523
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2. CamoayalibeT ZiriTadi da alterna
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15. miuTiTeT unda ukuvagdoT Tu ara
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pasuxebi: 1. 2.58 ; 1.65; -2.58; -
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X E gamoiyene T , T.x. n 1 * ' S
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Seesabameba 0.025 -sa da 0.01 -
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mniSvnelovnebis doniT gvaqvs Tu ara
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gadawyvetileba: Tu T.V.C.R., maSin
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magaliTi 5. vipovoT P -mniSvneloba,
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8. plastikatis boTlSi moTavsebuli 1
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hipoTezis Semowmeba puasonis popula
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3. samSobiaro saxlis warsuli Canawe
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Tavi VIII ndobis intervali da hipoT
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3. uZravi qonebis agentis mtkicebiT
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finansur daxmarebas. imis gasarkvev
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pasuxebi: 1. H0 : E 1800 , H1 : E
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( xn y ) z / n / m a a ( x y )
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P{ T t | H0}, Tu H1 : a1 a2 0; P
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(sadac z aris N(0,1) -is zeda -kr
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amerika evropa 729 329 450 330 481
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TiToeuli jgufidan SemTxveviT SerCeu
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SeniSvna: saSualoTa Sesaxeb tolobis
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gadavideT saSualoebis Sesaxeb hipoT
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4. mkvlevaris SefasebiT studenti go
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Tavi XI oramokrefiani amocanebi pop
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'2 '2 '2 '2 TV . . s1 / s2 246.38
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5. sagadasaxado inspeqtoris mtkiceb
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15. qvemoT moyvanilia A da B tipis
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s n s n ' ' D D d n tn 1, /2 aD d
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s 1 1 1 1 [ d ( d ) ] [4890 (
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4. mkvlevars ainteresebs axali diet
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Tavi XIII oramokrefiani amocanebi b
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( 0.36 0.242, 0.36 0.242) , ( 0.60
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11. 200 gamokiTxuli mozardidan 50-s
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23. dedaqalaqis SemTxveviT SerCeuli
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Tavi XIV Tanxmobis kriteriumebi xi-
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nabiji 4. gadawyvetilebis miReba: r
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e 26.7 55.1 66.64 38.96 12.6 i (aq
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programebs. SemTxveviT SerCeul myid
Page 195 and 196: nabiji 2. SevadginoT niSanTa SeuRle
Page 197 and 198: 32 29 3235 32 24 e2,1 10.55 , e 8
Page 199 and 200: nebis doniT, aris Tu ara avtomobili
Page 201 and 202: hipoTeza imis Sesaxeb, rom arCeuli
Page 203 and 204: proporcia, romlebic institutSi dadi
Page 205 and 206: is Sesaxeb, rom im momxmareblebis p
Page 207 and 208: fatalur avariaTa ricxvi Tavi XVII d
Page 209 and 210: uaryofi Ti wrfi vi kavSi ri 400 300
Page 211 and 212: ' ' ' 2 x i y i y i yi yi ( yi yi)
Page 213 and 214: B trestis monacemebi 5. rac ufro ko
Page 215 and 216: anu y 2.29 x 49.9 . es gantoleba ko
Page 217 and 218: daskvna. korelaciis koeficientis mi
Page 219 and 220: 218 amocanebi 1. gamoTvaleT korelac
Page 221 and 222: gacdena, x 10 12 2 0 8 5 Sefaseba,
Page 223 and 224: Tavi XVIII regresia da korelacia 1.
Page 225 and 226: wrfiT (regression sum of squares).
Page 227 and 228: saxlis gayidvis fasi a). ormxrivi a
Page 229 and 230: 2 SSE 21995.88 S 168.91 . n2 13
Page 231 and 232: determinaciis koeficienti. davweroT
Page 233 and 234: 2 va damakmayofilebel Sedegs (deter
Page 235 and 236: x1 (b 1 ) 4.146 0.751 5.520 0.000 2
Page 237 and 238: spirmenis rangobrivi korelaciis koe
Page 239 and 240: Tavi XIX dispersiuli analizi (ANOVA
Page 241 and 242: Cven gvaqvs sakmarisi safuZveli dav
Page 243 and 244: fexburTi kalaTburTi xelburTi ------
Page 245: gazze benzinze eleqtronuli meqaniku
Page 249 and 250: pasuxebi: 1. H 0 : a 1 a 2 a 3 , H
Page 251 and 252: varianti # 2007.1.1 1. Ada B damouk
Page 253 and 254: ( XY , ) (0.5q.); cov(5 X, 4Y 7) (0
Page 255 and 256: danarTi (statistikuri cxrilebi) k
Page 257 and 258: 1 x N(0.1) -is ganawilebis funqcii
Page 259 and 260: t (stiudentis) ganawilebis zeda -k
Page 261 and 262: 2 (xi kvadrat) ganawilebis zeda -
Page 263 and 264: F( n, m ) (fiSeris) ganawilebis zed
Page 265 and 266: 14. studentma unda Caabaros 4 gamoc
Page 267 and 268: 44. saTamaSo kamaTels agoreben samj
Page 269 and 270: ). A -- pirveli agdebisas movida 1
Page 271 and 272: 81. msrolelis mier samiznis daziane
Page 273: literatura 1. g. mania. albaTobis T
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