GRINNELL MAT 209 - Hypothesis Tests

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Reject Ho ifReject Ho ifH1:   oH1:  < oH1:  > oNormal,  known orLarge n (use s)Reject Ho ifNormal,  unknownReject Ho ifH1: 1 -  2  0 H1: 1 -  2 < 0 H1: 1 -  2 > 0Normal and(1, 2) known or Large n (use s2)Reject Ho ifNormal and(1, 2) unknown Reject Ho ifNormal and1 = 2 unknown Reject Ho ifH1: d  0 H1: d < 0 H1: d > 0Paired TestReject Ho ifH1:    oH1:  <  oH1:  >  oReject Ho ifor H1: 1   2H1: 12 <  22 H1: 12 /  22 > 1Equality of 2 variancesReject Ho ifAlso switch s1, s2 and n1, n2H1: p  poH1: p < poH1: p > poDichotomous distribution Reject Ho ifH1: p1 - p 2  0 H1: p1 - p 2 < 0 H1: p1 - p 2 > 0Dichotomous distribution znXo2/ znXo/ znXo/tnsXno12/ tnsXno1/ tnsXno1/znnXX2022212121 znnXX222121210 znnXX222121210tnnXXnnps22121212110 tnnXXnnps2212121110 tnnXXnnps2212121110 tnsdnd1/0 2121)1(2nosn Fssnn 12,112212 2121)1(2nosn Fssnn 11,121222znppppooo2)1(ˆznppnpppp2ˆˆˆˆ0ˆˆ21)1()1(21 znppppooo)1(ˆ znppppooo)1(ˆ znppnpppp21)1()1(21ˆˆˆˆ0ˆˆ znppnpppp21)1()1(21ˆˆˆˆ0ˆˆFssnn 11,1212222212221)1(2nosnX21222)1(2nosnX tnsdnd1/0tnsdnd12/0dftnsnsXX2022212121 dftnsnsXX222121210 dftnsnsXX222121210Reject Ho if* in the above alternative hypotheses, 0 can be replaced by any real


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GRINNELL MAT 209 - Hypothesis Tests

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