设来自正态总体X~N(μ,1.5(来学网))的样本值:49.7,50.6,51.8,52.4,48.8,51.1,51.2,51.0,51.5。则μ的置信度为0.95的置信区间为( )。
  • A.
    (来学网)[49.92,51.88]
  • B.
    (来学网)[49.7,51.88]
  • C.
    (来学网)[50.6,51.88]
  • D.
    (来学网)[49.92,51.1]
正确答案:
A
答案解析:
已知方差:a=1.5
∴置信区间为:
这里1-a=0.95 ∴a=0.05 ∴
n=9,σ=1.5,=50.9,查表知
∴置信区间为:[49.92,51.88]