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QuestionThetableshowshowallstudentstraveltoschoolAsanormalpracticesamplingfractionisconsideredtobenegligibleifitis(a)morethan5%(b)less than≤5%(c)Morethan%(d)noneSystematicsamplingisusedCreatedDate/10/AMCorbettmaths–Videos,worksheets,a-dayandmuchmorestrata,andthen drawingasampleindependentlyfromeachstratum,isknownasstratifiedsampling\text{totalpopulation}=++++=1,StepWemustapplytheformulashown aboveDefinitionIfthesampledrawnfromeachstratumisrandomone,theSamplingInstructionsUseblackinkorball-pointpenYearStudentsstudentsin totalareinyearwemultiply xbythesamplesizeRoundtothenearestwholenumberbecauseyoucannotCorbettmaths–Videos,worksheets,a-dayandmuch moreReviewrelatedarticles/videosoruseahintAnimportantobjectiveinanyestimationproblemistoobtainanestimatorofapopulationparameterwhichcan takecareofthesalientfeaturesofthepopulationThenumbersheshouldsamplefromthe–groupis\dfrac{\textcolor{blue}{}}{\textcolor{limegreen} {1,}}\times=StratifiedSampling.(1)(3)K©CorbettmathsOverStepFirst,weneedtoestablishhowmanypeoplewereattheconvention.KhanAcademyisa nonprofitwiththemissionofprovidingafree,world-classeducationforanyone,anywhereSoonecandivideallthestudentsintodifferentsubpopulationsorstrata suchasStudentsofclass1,andStratumStudentsofclass4,andStratumStudentsofclass7,AstratiiedsampleofisplannedYearstudentsIfthepopulationis homogeneouswithrespecttothecharacteristicunderstudy,thenthemethodofsimplerandomsamplingwillyieldahomogeneoussample,andAstratifiedrandom sampleisoneobtainedbydividingthepopulationelementsintomutuallyexclusive,non-overlappinggroupsofsampleunitscalledstrata,thenselectingasimple randomsamplefromwithineachstratum(stratumissingularforstrata)Addingupthenumbers,wegetQuestionAstratifiedsamplekeepsthesampleinthesame proportionsasthepopulationLearnforfreeaboutmath,art,computerprogramming,economics,physics,chemistry,biology,medicine,finance,history,and more.Question2Bernardidestotakeastratifiedsample.(a)Explainwhyitisappropriatetotakeastratifiedsample.Bernardtakesastratifiedsampleof(b) CalculatethenumberofeachagegroupthatBernardshouldchooseCalculatethenumberofvisitorstoeachcountrythatshouldbeselectedEverypotential sampleunitmustbeassignedtoonlyonestratumandnounitscanbeexcludedAstratifiedsampletakesasampleinproportiontothenumberinacategoryA schoolwantsastratifiedsampleofstudentsHowmanyfromyeardotheneed?AstherearealotmoreYearstudentsthanYearorstudents,astratifiedsample ensuresarepresentativesampleWorkoutIfpencilisusedfordiagrams/sketches/graphsitmustbedark(HBorB)FillintheboxesatthetopofthisStratified samplinginvolvessplittingthesampleframeintosmallergroupsorStrataandusingthesestratato‘weight’thesamplechosenaccordinglytorepresenttheoriginal StratifiedSamplingAnswersYearstudentsYearstudents