数学试题讲解

中国科学技术大学 2019 级本科新生入学考试中, 某学院两个班级的英语科目各档成绩(从低到高)人数如下表所示:

我们能否认为这两个班级的英语水平大致相当? 显著性水平设为

α = 0.05

.

附录:

\begin{aligned} Φ (1.645) = 0.95, Φ (1.96) = 0.975 \\ t_{15} (0.025) = 2.131, t_{15} (0.05) = 1.753, t_{16} (0.025) = 2.12, t_{16} (0.05) = 1.746 \\ χ_{5}^{2} (0.95) = 1.145, χ_{5}^{2} (0.05) = 11.071, χ_{15}^{2} (0.975) = 6.262, χ_{15}^{2} (0.025) = 27.488 . \end{aligned}