问题 选择题

某单位有技工18人,技术员12人,工程师6人,现从这些人中抽取一个容量为n的样本.如果采用系统抽样和分层抽样的方法抽取,则都不用剔除个体;如果容量增加1个,则在采用系统抽样时,需在总体中剔除1人,由此推断样本容量n为_______.

答案

6

总体中的个体数为18+12+6=36,由题意n整除36,且n+1整除35,∴n=4或6.

又∵也可采用分层抽样,而三种人员之比是18∶12∶6=3∶2∶1,

∴6整除n,即n=6.

完形填空
完形填空。
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