LakeWobegonJuniorCollegeadmitsstudentsonlyiftheyscoreabove400onastandardized achievementtest.ApplicantsfromgroupAhaveameanof500andastandarddeviationof 100 onthistest,andapplicantsfromgroupBhaveameanof450andastandarddeviationof 100. Bothdistributionsareapproximatelynormal,andbothgroupshavethesamesize. (a) Findtheproportionnotadmittedforeachgroup. (b) Ofthestudentswhoarenotadmitted,whatproportionarefromgroupB? (c) Astatelegislatorproposesthatthecollegelowerthecutoffpointforadmissionto300, thinking thattheproportionofnot-admittedstudentswhoarefromgroupBwouldde- crease. Ifthispolicyisimplemented,determinetheeffectontheanswerto(b).
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LakeWobegonJuniorCollegeadmitsstudentsonlyiftheyscoreabove400onastandardized achievementtest.ApplicantsfromgroupAhaveameanof500andastandarddeviationof 100 onthistest,andapplicantsfromgroupBhaveameanof450andastandarddeviationof 100. Bothdistributionsareapproximatelynormal,andbothgroupshavethesamesize.
(a) Findtheproportionnotadmittedforeachgroup.
(b) Ofthestudentswhoarenotadmitted,whatproportionarefromgroupB?
(c) Astatelegislatorproposesthatthecollegelowerthecutoffpointforadmissionto300, thinking thattheproportionofnot-admittedstudentswhoarefromgroupBwouldde-
crease. Ifthispolicyisimplemented,determinetheeffectontheanswerto(b).
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