2.6 证明式(2.42)var(hat(beta)_(0))=[(1)/(n)+((overline(x))^2)/(sum(x_(i)-overline{x))^2}]sigma^2成立。

(B) (hat {sigma )}^2=dfrac (1)(n)sum _(i=1)^n(({X)_(i)-overline (X))}^2.-|||-(C

30 总体Xsim N(mu,sigma^2)，x_(1),x_(2),...,x_(n)为其样本，overline(x)=(1)/(n)sum_(i=1)^n

12.设x_(1),x_(2),...,x_(n),x_(n+1)是来自N(mu,sigma^2)的样本，overline(x)_(n)=(1)/(n)sum_

设总体 X sim N(mu, sigma^2), X_(1), X_(2), ..., X_(n) 为来自总体X的简单随机样本，则 sum_(i=1)^n((

2.设X_(1),...,X_(n)是来自总体X的一个样本，且Xsim N(0,sigma^2)，overline(X)为样本均值，则(1)/(sigma)su

3.设n个随机变量X_(1),X_(2),...,X_(n)独立同分布，D(X_(1))=sigma^2，overline(X)=(1)/(n)sum_(i=1

设X_(1),X_(2),...,X_(n)是来自总体X的样本，则(1)/(n-1)sum_(i=1)^n(X_(i)-overline(X))^2是（）A.

设X_(1),X_(2)...,X_(n)是来自总体X的样本，则(1)/(n-1)sum_(i=1)^n(X_(i)-overline(X))^2为(）.A.

6.设总体Xsim N(mu,sigma^2)，X_(1),X_(2),...,X_(20)为其样本，S^2=(1)/(19)sum_(i=1)^20(X_(i

5、设X_(1),X_(2),...,X_(n)是正态总体N(mu,sigma^2)的一个样本，S^2=(1)/(n-1)sum_(i=1)^n(X_(i)-o