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_(i=1)^nx_(i),s_(n)^2=(1)/(n-1)sum_(i=1)^n(x_(i)-overline(x)_(n))^2，试求常数c使得t_(c)=c(x_(n+1)-overline(x)_(n))/(s)服从t分布，并指出分布的自由度.

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

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

1.6 总体X-N(mu,sigma^2)，x_(1),x_(2),...,x_(n)为其样本，bar(x)=(1)/(n)sum_(i=1)^nx_(i)，s

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)为总体X的简单样本，则样本均值overline(X)=(1)/(n)sum_(i=1)^nX_(i).A. 对B.

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.

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((

4.设X_(1),X_(2)...,X_(n)是来自正态总体N(mu,sigma^2)的样本，试求样本方差S^2=(1)/(n-1)sum_(i=1)^n(X_

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