Summary This chapter contains section titled: Introduction Two—Sample Z Test for Comparing Two Means Two—Sample t Test for Comparing Two Means with Equal Variances Two—Sample t Test for Comparing Two Means with Unequal Variances The Paired t Test Z Test for Comparing Two Binomial Proportions ...
Thenwedividethatsumbyn-1togetthesamplevariance. Whatarethedof&criticaltvalue? Sincewehave: ourverymessydofformulayields Sothedegreesoffreedomistheintegerpartof4.86or4. Fora5%two-tailedtest&4dof,thetvalueis2.7764. Sinceourt-value,1.748,isintheacceptanceregion,weaccept ...
这种情况被称为双样本 t 检验/ Two Sample t Test。选取检验统计量 T 为T=\frac{\bar{X}-\bar{Y}-\mu_0}{\sqrt{\frac{(m-1) S_X^2+(n-1) S_Y^2}{m+n-2}\left(\frac{1}{m}+\frac{1}{n}\right)}} \sim t_{m+n-2} \quad \mid \mu_1-\mu_2=\mu_0\\ ...
For Sample 2, make the corresponding entries as described above. Click on the Evaluate button to obtain the results. Click on the Print button to print the results. Click on the Plot button to display a graph showing the distribution with the test statistic and critical value(s). ...
Alternativehypothesis.Thealternativehypothesis,denotedbyH1orHa,isthehypothesisthatsampleobservationsareinfluencedbysomenon-randomcause.Example:H0:=0.5H1:≠0.5 TestofHypothesis • RELATIONSHIPBETWEENH0ANDHa:Thetwohypothesesareusuallylogicalcomplementsofeachother.Theynullifyeachother’sideas....
TwoSampleTestsofHypothesisGOALSWhenyouhavecompletedthischapter,youwillbeableto:ONEUnderstandthedifferencebetweendependentandindependentsamples.THREEConductatestofhypothesisaboutthedifferencebetweentwoindependentpopulationmeanswhenatleastonesamplehaslessthan30observations.TWOConductatestofhypothesisaboutthedifferencebetweentwo...
Summary This chapter contains section titled: Introduction Two—Sample Z Test for Comparing Two Means Two—Sample t Test for Comparing Two Means with Equal Variances Two—Sample t Test for Comparing Two Means with Unequal Variances The Paired t Test Z Test for Comparing Two Binomial Proportions Th...
Samplestakenfromtwodifferentpopulations,wheretheselectionprocessforonesampleisindependentoftheselectionprocessfortheothersample.populationswhereeither(1)theelementsampledisamemberofbothpopulationsor(2)theelementsampledinthesecondpopulationisselectedbecauseitissimilaronallothercharacteristics,or“matched,”tothe element...
Two-SampleTests TestProcedure ••••StatethehypothesesSetupthedecisionruleInsertthesamplestatisticsMakeadecisionbasedonthecriticalvaluesorusingp-valuesIfourdecisioniswrong,wecouldcommitatypeIortypeIIerror.LargersamplesareneededtoreducetypeIortypeIIerrors.• • 10-4 ComparingTwoProportions Testingfor...
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