假设检验方法分析及应用

222Vol．22No．220122JOURNALOFCHANGCHUNUNIVERSITYFeb．20122011－01－12200910SSXT1311962-、。aba．b．130118。。。O213A1009－3907201202－0188－051《》《》。“”、。。“Testofstatisticalsignificance”。。。、、、。。。。、。12ctrit3obs4。。22．113750150。100780．“”。α=0．0511。H0M=M0=750H1M≠M0=7502α=0．05x－=780。α2=0．025α=0．051－α=0．95Ft=1－α=0．95±tα2=±t0025=±1．96－1．961．96－#－1．96∪1．96+#3t=x－－M0σ槡/n=780－750150/槡100=3015=2。4。t=2H0H1。750750。21。H0MM0=750H1MM0=7502α=0．05x－=780。α=0．051－α=0．95Ft=1－2α=0．90tα=t0025=1．651．65+#－#1．65。3t=x－－M0σ槡/n=780－750150/槡100=3015=2。4。t=2H0H1750。31。H0M!M0=750H1MM0=7502α=0．05x－=780。α=0．051－α=0．95Ft=1－2α=0．90tα=t0025=1．65－#1．651．65+#。3t=x－－M0σ槡/n=780－750150/槡100=3015=2。4。t=2H0H1750。2．22。α=0．059812、xyx2y2xy219971．26201．4438440074419982．08604．0739600172019993．18009．61640000248020003．8110014．441210000418020015．0115025．01322500575020026．1132037．21742400805220037．2135051．841822500972020048．0165064．025600001280036．48800207．5410421400454462．2．1b=n∑xy－∑x∑yn∑x2－∑x2=8×45446－36．4×88008×207．54－36．42=128．9599a=y－－bx－=88008－128．9599×36．48=513．2323r=n∑xy－∑x∑yn∑x2－∑x2n∑y2－∑y2槡=8×45446－36．4×88008×207．54－36．428×10421400－88002槡=0．9697。y^=313．2323+128．9599xr=0．9697。2．2．2Fxyy^y^－y－2y－y^219971．2620667．98418186637．672302．481519982．0860771．1521108140．947893．949319993．1800913．0079936966．01212770．80620003．811001003．27999354．77399354．773920015．011501158．03183367．689864．50981120026．113201299．887739955．089404．5050120037．213501441．7436116788．678416．884520048．016501544．9155197946．243034．742836．488008799．9988697157．0944242．65311。H0β=0H1β≠0。2α=0．05f1=1f2=n－2=8－2=6α=0．051－α=0．95FF0．0516=5．9905．995．99+#。3F=∑y^－y¨/f1∑y－y^/n－21=697157．09/144242．653/6=94．54547。091224。F=5．99H0H1。21。H0β0H1β0。2α=0．05f1=1f2=n－2=8－2=6α=0．101－2α=0．90FF0．10516=3．783．78+#03．78。3F=∑y^－y¨/f1∑y－y^/n－21=697157．09/144242．653/6=94．54547。4。F=5．99H0H1。31。H0β!0H1β0。2α=0．05f1=1f2=n－2=8－2=6α=0．101－2α=0．90FF0．10516=3．7803．783．78+#3F=∑y^－y¨/f1∑y－y^/n－21=697157．09/144242．653/6=94．54547。4。F=3．78H0H1。2．2．311。H0β=0H1β≠0。2α=0．05f1=1f2=n－2=8－2=6α=0．051－α=0．95ttα2=t0．025=2．4469－2．44692．4469－#－2．4469∪+2．4469+#。3Sy=∑y－y^2n槡－2=44242．653槡6=85．87Sb=S2y∑x－x－槡2=85．87241．槡92=13．26277T=bS=128．959913．26277=9．723454。T=9．72345H0H1。21。1912H0β0H1β0。2α=0．05f1=1f2=n－2=8－2=6α=0．101－2α=0．90t±tα2=±t0．025=±3．783．78+#－#3．783Sy=∑y－y^2n槡－2=44242．653槡6=85．87Sb=S2y∑x－x－槡2=85．87241．槡92=13．26277T=bS=128．959913．26277=9．723454。T=9．72345H0H1。31。H0β!0H1β0。2α=0．05f1=1f2=n－2=8－2=6α=0．101－2α=0．90t±tα2=±t0．025=±3．78－#3．783．78+#3Sy=∑y－y^2n槡－2=44242．653槡6=85．87Sb=S2y∑x－x－槡2=85．87241．槡92=13．26277T=bS=128．959913．26277=9．72345。4。T=9．72345H0H1。31。2。3。4。5IH0IIH0I。6。7。、、。196291229．WCBAEB/OL．2011－11－04．http//．cba．gov．cn/cbastats/wcba/teamplayer．aspx．AnalysisonCharacteristicsofAthletes’AgeYearsforPlayingBasketballandPhysiqueinWCBAduring2011－2012MatchSeasonFENGQi-mingPhysicalEducationDepartmentSichuanUniversityofArtsandScienceDazhou635000ChinaAbstractThedatastatisticanalysisonplayers’ageyearsforplayingbasketballandphysiqueinWCBAduring2011－2012matchseasonismadebythemethodsofliteratureconsultationandmathematicalstatistics．Theresultsshowthattheiraverageageis22．70yearsoldaverageyearsforplayingbasketballis3．29yearsaverageheightis1．85metersaverageweightis73．63kgsandaverageQueteletindexis397．37．Therearenosignificantdifferencesamongguardsforwardsandcenters’yearsforplayingbasketballP＞0．05whiletherearesignificantdifferencesintheiragesP＜0．05．TheiraverageheightweightandQueteletindexarequitedif-ferentP＜0．01．KeywordsWCBAbasketballplayerageyearsforplayingbasketballphysique1921．M．2002．2．M．2005．3．M．1998．4．M．2009．5．M．2006．AnalysisandApplicationofHypothesisTestingMethodMAFeng-mingaWANGZhong-liba．ManagementSchoolb．SchoolofSurveyingandProspectingEngineeringJilinInstituteofArchitectureandCivilEngineeringChangchun130118ChinaAbstractHypothesistestingisanimportantmethodinstatisticsalsoitisanimportantpartofstatisticalinference．Thetypesandmethodsofhypothesistestingaresometimesdifficulttodetermine．Theconnotationofsignificancelevelbecomesthekeypointinteach-ing．Thispapermakesastepanalysisshowingthatnomatterwhattypeofhypothesistestinginapplicationtheconclusionshouldbeconsistentandtheprocedureofsolvingstepsmakestheproblemeasiertobeaccepted．Keywordshypothesistestingstatisticsanalysisapplication69122