Exercise2.4 A start-upcompanyrecruitsnewemployeesamonggraduates.Hiringrequirements include passinganIQtestwithascorelargerthan120.Withinapopulationofgraduates,IQis normally distributedwithanunknownmean and astandarddeviationof5.Accordingtothe companypolicy,candidatesdonotobtainthescoresoftheirtests,butonlynotificationofwhether theyhavepasseditornot.Only10candidatesamong100successfullypassedthetest. 1. Find theMLEof . 2.
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Exercise2.4 A start-upcompanyrecruitsnewemployeesamonggraduates.Hiringrequirements include passinganIQtestwithascorelargerthan120.Withinapopulationofgraduates,IQis normally distributedwithanunknownmean μ and astandarddeviationof5.Accordingtothe companypolicy,candidatesdonotobtainthescoresoftheirtests,butonlynotificationofwhether theyhavepasseditornot.Only10candidatesamong100successfullypassedthetest.
1. Find theMLEof μ.
2. The companywasdisappointedbythelownumberofnewemployeesitmanagedtorecruitand decided inthefuturethattheywouldreducetherequiredIQscoreto115.FindtheMLEofthe chance forarandomlychosengraduatetobehiredbythecompanyafterpassingthetest.
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Statistical Theory A Concise Introduction Texts In Statistical Science
ISBN: 9781032007458
2nd Edition
Authors: Felix Abramovich, Ya'acov Ritov
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