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Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class mu

Posted: Mon Jul 11, 2022 11:25 am
by answerhappygod
Thanks to an initiative to recruit top students, anadministrator at a college claims that this year's entering classmust have a greater mean IQ score than that of entering classesfrom previous years. The administrator tests a randomsample of
11
of this year's entering students and finds thattheir mean IQ score is
114
, with a standard deviation of
9
. The college records indicate that the mean IQ score forentering students from previous years is
113
.
Is there enough evidence to conclude, at the
0.10
level of significance, that the populationmean IQ score,
μ
, of this year's class is greater than that of previousyears? To answer, assume that the IQ scores of this year's enteringclass are approximately normally distributed.