设某车间生产的零件长度X~U(α,σ(上标2))(单位:mm),现从生产出的一批零件中随机抽取25件,测得零件长度的平均值x=1970,标准差S=100,如果σ(上标2)未知,在显著性水平α=0.05下,能否认为该车间生产的零件的平均长度是2020 mm?(附t(上标0.025)(24)=2,064)
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