Tsu-2011 - ieeetsu

More documents

Recommendations

Info

Tavi VI hipoTezaTa Semowmeba dispersiisaTvis statistikuri hipoTezis Semowmeba normaluri ganawilebis dispersiis Sesaxeb: 2 hipoTeza: H0: D 0 mniSvnelovnebis done: n 2 ( Xi E ) i1 2 ( n), Tu Ecnobilia ; 2 kriteriumis statistika: 0 2 ' ( n 1) S 2 ( n1), Tu Eucnobia . 2 0 n 2 ( xi E ) i1 , Tu E cnobilia ; 2 kriteriumis mniSvneloba T.V.= 0 ' ( n 1) s 2 2 , Tu E ucnobia . 0 alternativa kritikuli are C.R. ( H0 -is uaryofis are) 2 2 [ n, , ), Tu Ecnobilia ; H1: D 0 2 [ n 1, , ), Tu Eucnobia, 2 2 (0, n,1 ], Tu Ecnobilia ; H1: D 0 2 (0, n 1,1 ], Tu Eucnobia, 2 2 2 (0, n,1 /2 ] [ n, /2, ), Tu E cnobilia ; H1: D 0 2 2 (0, n 1,1 /2] [ n 1, /2, ), Tu E ucnobia (sadac 2 n, aris 2 () n ganawilebis zeda -kritikuli wertili anu kritikuli mniSvneloba C.V.). alternativa P - mniSvneloba: 2 2 P{ ( n) T. V.}, Tu Ecnobilia ; H1: D 0 P 2 P{ ( n 1) T. V.}, Tu Eucnobia, 2 2 P{ ( n) T. V.}, Tu Ecnobilia ; H1: D 0 P 2 P{ ( n 1) T. V.}, Tu Eucnobia, 2 2 2 2 min( P{ ( n) T. V.},min( P{ ( n) T. V.}), TuE cnobilia; H1: D P 0 2 2 2 min( P{ ( n 1) T. V.},min( P{ ( n 1) T. V.}), TuE ucnobia. 129
gadawyvetileba: Tu T.V.C.R., maSin H 0 hipoTezas ukuvagdebT, winaaRmdeg SemTxvevaSi amis safuZveli ara gvaqvs. P - mniSvnelobis meTodi: Tu P , maSin H 0 hipoTezas ukuvagdebT, winaaRmdeg SemTxvevaSi amis safuZveli ara gvaqvs. magaliTebis amoxsnis nimuSebi: magaliTi 1. profesors surs gaarkvios, qulebis cvalebadoba Tavis jgufSi, sadac 23 studentia, aris Tu ara naklebi, vidre populaciis dispersia 225 . profesoris jgufSi qulebis Sesworebuli dispersiaa 198. 0.05 mniSvnelovnebis doniT gvaqvs Tu ara sakmarisi safuZveli vamtkicoT, rom profesoris jgufSi qulebis cvalebadoba naklebia populaciis dispersiaze? CaTvaleT, rom qulebi normaluradaa ganawilebuli. amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi: H0 : D 225 , H1 : D 225 . vipovoT kritikuli mniSvneloba: vinaidan kriteriumi marcxena calmxrivia, 1 0.95 da Tavisuflebis xarisxia n1 22, amitom xi kvadrat ganawilebis zeda kritikuli wertilebis 2 2 cxrilidan vpoulobT, rom n 1,1 22,0.95 12.338 . maSasadame, kritikuli area CR . . (0,12.338] . gamovTvaloT kriteriumis mniSvneloba: ( n1) s 2 0 130 ' 2 (231) 198 TV . . 19.36 . 225 vinaidan, kriteriumis mniSvneloba ar vardeba kritikul areSi, amitom nulovan hipoTezas vRebulobT, anu ar arsebobs sakmarisi safuZveli imisaTvis, rom profesoris jgufSi qulebis cvalebadoba naklebia populaciis dispersiaze. magaliTi 2. saavadamyofos administratori darwmunebulia, rom standartuli gadaxra im pacientebis ricxvis, romlebic ambulatoriulad mkurnaloben dReSi 8-ze metia. pacientebis ricxvi CavTvaloT, rom ganawilebulia normalurad. 0.1 mniSvnelovnebis doniT SeiZleba Tu ara gaviziaroT administratoris mosazreba, Tu 15 SemTxveviT SerCeuli dRis monacemebia: 25 30 5 15 18 42 16 9 10 12 12 38 8 14 27 amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi: H0 : D 64 , H1 : D 64 . ramdenadac kriteriumis marjvena calmxrivia, 0.1 da Tavisuflebis xarisxia n1 14 , amitom kritikuli mniSvneloba 2 iqneba: n 1, 21.0641 . gamovTvaloT Sesworebuli standartuli gadaxra, gvaqvs: 1 1 1 s ( x x) ( x x ) 11.2 n n n ' 2 2 i i j n1 i1 n1 i1 n j1 .
Page 1 and 2:
omar furTuxia albaToba da statistik
Page 3 and 4:
statistikuri hipoTezis Semowmeba no
Page 5 and 6:
. Tu P( ) aTobebi. P( A): P( ) A
Page 7 and 8:
I. kursze, romelzec sami jgufia, jg
Page 9 and 10:
magaliTi 4. vipovoT albaToba imisa,
Page 11 and 12:
3 10! 8910 С 10 120. 3!7! 6 mag
Page 13 and 14:
C 2 4 6 2 496 C32 0,012 . davaleb
Page 15 and 16:
sa, rom: a). orive nomeri iqneba er
Page 17 and 18:
Tu A ,..., 1 , A2 An xdomilebaTa sr
Page 19 and 20:
1 1 1 1 1 . * * m m1 m 1 m1 sauke
Page 21 and 22:
kamaTelze movida kenti qula, C -- o
Page 23 and 24:
amocanis pirobebSi cxadia agreTve,
Page 25 and 26:
is SemTxvevaSi ukanaskneli Sedegi S
Page 27 and 28:
Sesabamisad, saZiebeli albaToba alb
Page 29 and 30:
oba aris wina cdaze CaWris albaTobi
Page 31 and 32:
22. ( A B) , P( A| B) 1/3, PA ( )
Page 33 and 34:
42. albaToba imisa, rom oTx damouki
Page 35 and 36:
5). P{ xk} F( xk 0) F( xk ) (Se
Page 37 and 38:
E( | B) xiP( xi | B) . 1 cxadia,
Page 39 and 40:
{ ggg,ggs,gsg,sgg,gss,sgs,ssg, sss}
Page 41 and 42:
magaliTi 6. mocemulia SemTxveviTi s
Page 43 and 44:
P{ 2} P{ 0} P{ 2} 0.1 0.4
Page 45 and 46:
aqedan gamomdinare, korelaciis koef
Page 47 and 48:
17. kompiuteri daprogramebulia 0-da
Page 49 and 50:
37. samSeneblo kompanias sTavazoben
Page 51 and 52:
Tavi IV diskretul ganawilebaTa gamo
Page 53 and 54:
ualod drois mocemul intervalSi xidz
Page 55 and 56:
9. universitetis studentTa 30%-is a
Page 57 and 58:
27. martis TveSi Semosuli satelefon
Page 59 and 60:
43. umaRlesi ligis fexburTis matCeb
Page 61 and 62:
va arcerT kamaTelze, maSin is arafe
Page 63 and 64:
2 2 2 () D x f x dx . asimet
Page 65 and 66:
gavixsenoT, rom ( MA) . meore mxri
Page 67 and 68:
x amoxsna. visargebloT formuliT: F(
Page 69 and 70:
a). ipoveT c ; b). gamoTvaleT moda;
Page 71 and 72:
Tavi VI normaluri ganawileba SemTxv
Page 73 and 74:
magaliTi 4. vipovoT albaToba imisa,
Page 75 and 76:
X -s Soris mdebare aris farTobi 0.5
Page 77 and 78:
amitom 12 a 16a 0.407 da 0.900 .
Page 79 and 80: cali SuSis sawmendidan ramdenis sig
Page 81 and 82: obili 56 mili/sT siCqariT moZraobis
Page 83 and 84: 52. uwyveti SemTxveviTi sididis ga
Page 85 and 86: Tavi VII albaTobis Teoriis zRvariTi
Page 87 and 88: Tu axla gavixsenebT, rom ( x) ( x)
Page 89 and 90: amoxsna. SemoviRoT xdomilebebi: A {
Page 91 and 92: n n 2(0.005 ) 1 0.95, anu ( 0.005 )
Page 93 and 94: 18. detalebis 80% I xarisxisaa. ram
Page 95 and 96: s t a t i s t i k a Tavi I wertilov
Page 97 and 98: ucnobi parametris maqsimaluri dasaj
Page 99 and 100: magaliTi 2. cnobilia, rom garkveuli
Page 101 and 102: ndobis intervali mexuTe klaselebis
Page 103 and 104: tervalisaTvis, roca n 10 ; e). 95%
Page 105 and 106: Tavi II ndobis intervali bernulis s
Page 107 and 108: 4. gamokiTxuli 1015 axalgazrdidan 1
Page 109 and 110: Tavi III ndobis intervali dispersii
Page 111 and 112: 18.6 19.5 20.2 20.4 19.3 21 20.3 19
Page 113 and 114: 26. 22 balaxis sakreWi manqanis mie
Page 115 and 116: Tavi IV 2 hipoTezaTa Semowmeba saSu
Page 117 and 118: xE 43260 42000 z 1.32 . / n 523
Page 119 and 120: 2. CamoayalibeT ZiriTadi da alterna
Page 121 and 122: 15. miuTiTeT unda ukuvagdoT Tu ara
Page 123 and 124: pasuxebi: 1. 2.58 ; 1.65; -2.58; -
Page 125 and 126: X E gamoiyene T , T.x. n 1 * ' S
Page 127 and 128: Seesabameba 0.025 -sa da 0.01 -
Page 129: mniSvnelovnebis doniT gvaqvs Tu ara
Page 133 and 134: magaliTi 5. vipovoT P -mniSvneloba,
Page 135 and 136: 8. plastikatis boTlSi moTavsebuli 1
Page 137 and 138: hipoTezis Semowmeba puasonis popula
Page 139 and 140: 3. samSobiaro saxlis warsuli Canawe
Page 141 and 142: Tavi VIII ndobis intervali da hipoT
Page 143 and 144: 3. uZravi qonebis agentis mtkicebiT
Page 145 and 146: finansur daxmarebas. imis gasarkvev
Page 147 and 148: pasuxebi: 1. H0 : E 1800 , H1 : E
Page 149 and 150: ( xn y ) z / n / m a a ( x y )
Page 151 and 152: P{ T t | H0}, Tu H1 : a1 a2 0; P
Page 153 and 154: (sadac z aris N(0,1) -is zeda -kr
Page 155 and 156: amerika evropa 729 329 450 330 481
Page 157 and 158: TiToeuli jgufidan SemTxveviT SerCeu
Page 159 and 160: SeniSvna: saSualoTa Sesaxeb tolobis
Page 161 and 162: gadavideT saSualoebis Sesaxeb hipoT
Page 163 and 164: 4. mkvlevaris SefasebiT studenti go
Page 165 and 166: Tavi XI oramokrefiani amocanebi pop
Page 167 and 168: '2 '2 '2 '2 TV . . s1 / s2 246.38
Page 169 and 170: 5. sagadasaxado inspeqtoris mtkiceb
Page 171 and 172: 15. qvemoT moyvanilia A da B tipis
Page 173 and 174: s n s n ' ' D D d n tn 1, /2 aD d
Page 175 and 176: s 1 1 1 1 [ d ( d ) ] [4890 (
Page 177 and 178: 4. mkvlevars ainteresebs axali diet
Page 179 and 180: Tavi XIII oramokrefiani amocanebi b
Page 181 and 182:
( 0.36 0.242, 0.36 0.242) , ( 0.60
Page 183 and 184:
11. 200 gamokiTxuli mozardidan 50-s
Page 185 and 186:
23. dedaqalaqis SemTxveviT SerCeuli
Page 187 and 188:
Tavi XIV Tanxmobis kriteriumebi xi-
Page 189 and 190:
nabiji 4. gadawyvetilebis miReba: r
Page 191 and 192:
e 26.7 55.1 66.64 38.96 12.6 i (aq
Page 193 and 194:
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 and 246:
gazze benzinze eleqtronuli meqaniku
Page 247 and 248:
sakredito baraTiT sargeblobisas pro
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
show all

Tsu-2011 - ieeetsu

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?