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Final

ADM 2704Cheat sheet exam final.docx

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Department
Administration
Course
ADM2704
Professor
All Professors
Semester
Spring

Description
Test sur deux moyennesX1XSoit X et X deux variables alatoires indpendantes de moyenne m et m et de 1212212 XE221X2variance s et s respectivement La statistiqueestutilise 12X22SS121X122pour comparer lesprance mathmatiquedes deuxnn12populationsVar22 12Cas 1 Populations normales et etconnues1H UU00 12H UU0H UU0H UU01 121 121 12X2Condition du testdeux chantillons alatoire indepndants de 1X212grande taille3afixEXX1X21222N0112221XSS212 4nn12nn12VarZ1H UU00 12H UU0H UU0H UU001 121 121 12125La rgle de dcisionBilatralH 12Condition du test2 chantillons alatoires indpendants populations normales et sigma2et sigma212Rejeter H si 03afixXX22ss121X1Xz2 212122N01nn1222124 nn ou si 12Xz22ss125 La rgle de dcision i H uu01 121Xz2122Rejeter H si 0nn12X226121Xz 2122nn12Cas 3Si on prlve indpendamment des chantillons alatoires de petites tailles n etou n 30 de populations normales de variances inconnues mais 12 2supposes galess on obtientXX221X212121Xzou si 2122Enn12X22ne pas diviser a2 pour unilatralen1Sn1S1111221X6Rsultats empiriquesutiliser z2 nn2nn12127ConclusionVarCas 2Si on prlve indpendamment des chantillons alatoires de tailles n et 1n suffisamment grandes alors grce au thorme central limite la diffrence 2X11H UU00 12H UU0H UU0H UU01 121 121 12suit approximativement une loi normale avec X22Conditions du testdeux chantillions alatoires indpendants sigma 22 et sigmainconnues et n et n petits12123afixN130etn230
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