刘同学2024-07-22 21:10:22
刘同学A population has a non-normal distribution with mean µ and variance σ2. The sampling distribution of the sample mean computed from samples of large size from that population will have:A.the same distribution as the population distribution.B.its mean approximately equal to the population mean.C.its variance approximately equal to the population variance.为啥A不对，大样本不是可以看成正态吗，为什么b对c不对
回答（1）
葛王璐2024-08-14 21:25:22
葛王璐同学你好，本题是针对样本均值的考察，
A选项：根据中心极限定理，当样本容量较大时，样本均值的抽样分布近似正态分布，而population是non-normal的，所以不是same distribution；
B选项：样本均值作为一个随机变量服从正态分布，其均值近似等于总体均值μ，表述正确；
C选项：样本均值的standard deviation = 总体标准差σ/根号n
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