Considerthesamplebelow,whichhasbeensampledfromanormaldistribution.

13.6,13.2,11.1,14.4,16.7,10.8

Let n denote thesample size,let denotethe samplemean, letSE denote thestandard error,and let denote thetruepopulationmean.Supposeyouweretestingthehypothesis

Assumea5%levelofsignificance.

H₀:=14versusH₁: 14.

1. Statethevalueofn,anddetermine andSE.
2. Usingat-distribution,calculatea95%confidenceintervalfor.UseRtofindtheappropriatevalueoft_n1,p.
3. Basedonyouranswerto(b),stateanappropriateconclusion,withjustification.
4. Calculatetheteststatisticneededtoperformat-testforthehypothesesabove.
5. UseRtocalculatethep-valueforthet-test.Youmustclearlyindicatetheprobabilitydistribution(s)used.(f)Basedonyouranswerto(e),stateanappropriateconclusion,withjustification.