作业帮概率习题：统计量与抽样分布章节
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/07/17 17:48:28
概率习题：统计量与抽样分布章节
设总体X~N(μ,σ^2),已知样本容量n=24,样本方差s^2=12.5227,求总体标准差σ大于3的概率.
设总体X~N(μ,σ^2),已知样本容量n=24,样本方差s^2=12.5227,求总体标准差σ大于3的概率.
Because (n-1)s^2/σ^2 ~ X^2(n-1), where X^2(n-1) is chi-squre distribution with n-1 degree of freedom.
Let X^2(n-1) = (n-1)s^2/σ^2 => X^2(23) = 288.0221/σ^2 => if σ>3 then X^2(23)3) = p(X^2(23)
Let X^2(n-1) = (n-1)s^2/σ^2 => X^2(23) = 288.0221/σ^2 => if σ>3 then X^2(23)3) = p(X^2(23)