关于两总体均值之差区间估计的一点注记  

A Little Annotation about Interval Estimation of the Mean Difference of Two Populations

作　　者：潘玉荣[1] 贾朝勇[1] PAN Yu-rong JIA Chao-yong(Department of Mathematics and Physics, Bengbu University, Bengbu 233030, Chin)

机构地区：[1]蚌埠学院数学与物理系,安徽蚌埠233000

出　　处：《佳木斯大学学报（自然科学版）》2016年第5期851-853,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：安徽省省级教学研究项目(2015jyxm386);安徽省高等学校自然科学研究重点项目(KJ2016A453);安徽省高等学校优秀青年教师人才科研资助项目(2012SQRL215);安徽省质量工程项目(2014zy141);蚌埠学院教研项目(2013jyxm04)

摘　　要：根据实际问题中两总体方差往往是未知的情况,若要对独立小样本情形下两总体均值之差进行区间估计,需先对两总体的方差是否相等进行检验,然后根据检验结果,确定合适的统计量,进而得到两总体均值之差的置信区间。最后,通过实例验证上述检验是很必要的。According to the practical problems, the variance of two populations is often unknown, if we want to estimate the confidence interval of the mean difference under the independent small samples from two populations, we should test whether the variance of two population is equal or not first, and according to the test results we can determine the appropriate statistics, and then to estimate the confidence intervals of the mean difference of two populations, Finally, it is necessary to verify the above test by the example.

关 键 词：独立小样本 两总体 区间估计 置信区间 

分 类 号：O212[理学—概率论与数理统计]