Question
Q#1: Thewaiting timeforpatients atawalk-inhealthclinic followsanormal distributionwithameanof 15minutesandapopulationstandarddeviationof5minutes.Thequality-assurancedepartmentsampled50patientsandfoundthatthemeanwaitingtimewas14.25minutes. Atthe0.05significancelevel,decideifthesampledatasupporttheclaimthatthemeanwaitingtimeislessthan15minutes. Q#2: Afinancialplannerwantstocomparetheyieldofincomeandgrowthmutualfunds.Fiftythousanddollarsisinvestedineachofasampleof35incomeand40growthfunds.Themeanincreaseforatwoyear period for the income funds is $900. For the growth funds, the mean increase is
Q#1:Thewaiting timeforpatients atawalk-inhealthclinic followsanormal distributionwithameanof
15minutesandapopulationstandarddeviationof5minutes.Thequality-assurancedepartmentsampled50patientsandfoundthatthemeanwaitingtimewas14.25minutes.
Atthe0.05significancelevel,decideifthesampledatasupporttheclaimthatthemeanwaitingtimeislessthan15minutes.
Q#2:Afinancialplannerwantstocomparetheyieldofincomeandgrowthmutualfunds.Fiftythousanddollarsisinvestedineachofasampleof35incomeand40growthfunds.Themeanincreaseforatwoyear period for the income funds is $900. For the growth funds, the mean increase is $875. Incomefundshaveasamplestandarddeviationof$35;growthfundshaveasamplestandarddeviationof$45.Assumethatthepopulationstandarddeviationsareequal.
Atthe0.10significancelevel,isthereadifferenceinthemeanyieldsofthetwofunds?
Q#3:MarkHannaisvicepresidentforhumanresourcesforalargemanufacturingcompany.Inrecentyears, he has noticed an increase in absenteeism that he thinks is related to the general health of theemployees.Fouryearsago,inanattempttoimprovethesituation,hebeganafitnessprograminwhichemployeesexerciseduringtheirlunchhour.Toevaluatetheprogram,heselectedarandomsampleofeightparticipantsandfoundthenumberofdayseachwasabsentinthesixmonthsbeforetheexerciseprogrambeganandinthelastsixmonths.Belowaretheresults.
Atthe.05significancelevel,canheconcludethatthenumberofabsenceshasdeclined?
| Employee | Before | After |
| 1 | 6 | 4 |
| 2 | 5 | 1 |
| 3 | 7 | 1 |
| 4 | 6 | 3 |
| 5 | 4 | 3 |
| 6 | 3 | 5 |
| 7 | 5 | 2 |
| 8 | 6 | 7 |
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