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116问答网 > 环境保护条例，在排放的工业废水中，某有害物质不得超过0.5‰，假定有害物质含量X服从正态分布．现在取5

环境保护条例，在排放的工业废水中，某有害物质不得超过0.5‰，假定有害物质含量X服从正态分布．现在取5

2025-04-07 03:44:36

推荐回答（1个）

回答1：

①提出待检假设：H_O：a≤0.5（‰），H₁：a＞0.5（‰），
②构造统计量：T＝

X

?0.5

s/

5

，则在假设的前提下T服从自由度为4的t分布
③对给定的α=0，05，确定t_1-α（4）=t_0.95（4）=2.132，使得
P（|T|≤t_0.95（4））=0.95
④根据已有的观测值，计算

x

=0.5184，s=0.018
t=

x

?0.5

s

5

=2.2857＞t_0.95（4），
这说明小概率事件发生了
所以，拒绝H₀，说明有害物质含量超过了规定．

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