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Analyzing Shift Performance: The Impact of Variability on t-Test Significance

An assignment analyzing shift performance using t-test significance, focusing on variability in business data.

Amelia Ward
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AnalyzingShiftPerformance:TheImpactofVariabilityont-TestSignificancet-TestsImagineashiftmanageratamanufacturingplantisgatheringdataonthenumberofunitsworkersassembleduringtwodifferentshiftsover10differentdays.Ifthenumberofunitsassembledbyeachshiftvariesgreatlyfromdaytoday,whatimpactwillthathaveonthelikelihoodofasignificantdifferencebetweenthetwoshifts?Explainandsupportyourresponse.Asashiftmanagerthatgathersdataonthenumberofunitsthatworkersassembleduringtwodifferentshiftsovertendaysyoushouldwanttoknowtheresultsofeachdayandwhetherornottheyvaryonadailybasis.Iftheydovarythenthatisalsoimportantaswell.Ifthereisagreatdivideinhowmanyunitsarebeingbuiltbetweenthetwoshiftsitmaypointoftothemanagerthatthereisinfactasignificantdifferenceintheproductionbetweenthetwoshifts.Inourreadingthisweekitsays“Whenthereismorethanonegroupinvolved,whetherthegroupsarerelatedisrelevanttothekindofanalysisthatcanbeperformed.Inthistest,"independent"meansthatthetwosamplesinvolveseparategroupsofpeople;thosewhoaremembersofonegroupcannotalsobemembersoftheother”(Tanner,2013).Weseebythisstatementthatdependingonhowthetwogroupsarerelatedwemustfigureoutexactlywhatanalysiscanbeperformed.Inthiscaseweknowthatthetwogroupsareindeedonseparateshifts.Ifwehadnumberswecouldfigureoutjustexactlywhatthedifferenceisonadailybasisandwhetherornotitissignificantornot.Thebiggertheratioindifferencethatwewouldseemeansthemoreandmoresignificantlydifferentthetwoshiftswouldbe.

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Subject
Statistics

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