国外大学统计学基础习题求助

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The filling machine used by a dairy company tofill 1kg containers of yoghurt produces output which follows a normal distribution with mean 1030g (slightly more than1kg) and standard deviation 20g.

Supposuppose that the company canchange either the mean or the standard deviation of the filling amount (but notboth).  If they require the probabilityof underfilling a container (i.e. contents less than 1000g) to equal 0.05, find

            (i)    the smallest value of the mean; and

            (ii)   the largest value of the standard deviation

            that satisfies thisrequirement (in each case to the nearest gram).

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关键词：统计学基础 习题求助 国外大学 统计学 distribution 统计 统计学 大学

1032.8 for mean; 13.2387 for the standard deviation. Just fix one, then find the solution to the equation.

suzhzh 发表于 2015-4-22 11:16
1032.8 for mean; 13.2387 for the standard deviation. Just fix one, then find the solution to the equ ...

是通过P（X<1000)=0.05得出Z值 然后通过Z=(1000-mean)/std 固定一个计算另外一个？ 如果是的话我的结果是smallest mean=967.1 biggest std=18.24 能问下您的Z值是多少吗？

5% quantile=-1.644854

suzhzh 发表于 2015-4-24 09:42
5% quantile=-1.644854

为什么是负的。。。求再帮忙解释一下。。。谢谢！！