劉同學(xué)
2024-07-22 21:10A 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.為啥A不對(duì)，大樣本不是可以看成正態(tài)嗎，為什么b對(duì)c不對(duì)
所屬：CFA Level I > 數(shù)量+金融計(jì)算器前導(dǎo) 視頻位置 相關(guān)試題
來(lái)源： 視頻位置 相關(guān)試題
1個(gè)回答
葛王璐助教
2024-08-14 21:25
該回答已被題主采納
同學(xué)你好，本題是針對(duì)樣本均值的考察，
A選項(xiàng)：根據(jù)中心極限定理，當(dāng)樣本容量較大時(shí)，樣本均值的抽樣分布近似正態(tài)分布，而population是non-normal的，所以不是same distribution；
B選項(xiàng)：樣本均值作為一個(gè)隨機(jī)變量服從正態(tài)分布，其均值近似等于總體均值μ，表述正確；
C選項(xiàng)：樣本均值的standard deviation = 總體標(biāo)準(zhǔn)差σ/根號(hào)n
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