Estimating the Total Family Dental Expenses for Employees: A 90% Confidence Interval Analysis

Statistical analysis of dental expenses.

Daniel Mitchell

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EstimatingtheTotalFamilyDentalExpensesforEmployees:A90%ConfidenceIntervalAnalysisThepersonneldepartmentofalargecorporationwantstoestimatethefamilydentalexpensesofitsemployeestodeterminethefeasibilityofprovidingadentalinsuranceplan.Thereareatotal0f2,931employeesatthecorporation.Asampleof17employeesareaskedabouttheirfamilydentalexpensesintheprecedingyearandreportanaverageofXbarequals$770.29withastandarddeviationofSequals$56.47Constructa90%confidenceintervalestimateofthetotalfamilydentalexpensesforallemployeesintheprecedingyear.Herethepopulationstandarddeviationisunknownandthesamplesizeissmallthusweneedtouseat-distribution.Thedf=samplesize-1=17-1=16Asweneeda90%confidenceintervalsothet-multiplieris=t(0.05,16)=1.746hencethe90%confidenceintervalforthemeanis,S56.4790%CIformean=(Samplemean+£(0.05,16)+5)=(770.29+1.746+29—(QTAAATARC704INN—Study

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