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(1)全校學生智商平均值是Xbar=100,標準差偏差值為S=5,且為常態分布。若某
位學生的智商為108。求其智商在中間的95%範圍為何?題目應該修改為: P(X>=108)=?; P(92<X<108)=?
Z=(108-100)/5=8/5=1.6
查雙尾表:
P(0<Z<1.6)=0.4452=44.52%
P(-1.6<Z<1.6)
=P(92<X<108)
=2*44.52%
=89.04%...........ans
P(Z>=1.6)
=P(X>=108)
=0.5-0.4452
=5.48%............ans
(2)國人平均膽固醇值為Xbar=210mg/dl,標準差為S=10mg/dl,且為常態分布。求出其膽固醇值在中間的95%範圍為何?
查雙尾表: Z(95%)=1.96
Mu=210+-1.96*10
=190.4~229.6(mg/dl)........ans
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