题目
设 X_1, X_2, ..., X_n 为来自总体 X sim N(mu, 9) 的样本, overline(X) 为样本均值.对于检验假设 H_0: mu = mu_0; H_1: mu neq mu_0, 则采用的检验统计量应为()A. (overline(X) - mu_0)/(3/(n-1))B. (overline(X) - mu_0)/(3/n)C. (overline(X) - mu_0)/(3/sqrt(n))D. (overline(X) - mu_0)/(3/sqrt(n-1))
设 $X_1, X_2, \cdots, X_n$ 为来自总体 $X \sim N(\mu, 9)$ 的样本, $\overline{X}$ 为样本均值.对于检验假设 $H_0: \mu = \mu_0$; $H_1: \mu \neq \mu_0$, 则采用的检验统计量应为()
A. $\frac{\overline{X} - \mu_0}{3/(n-1)}$
B. $\frac{\overline{X} - \mu_0}{3/n}$
C. $\frac{\overline{X} - \mu_0}{3/\sqrt{n}}$
D. $\frac{\overline{X} - \mu_0}{3/\sqrt{n-1}}$
题目解答
答案
C. $\frac{\overline{X} - \mu_0}{3/\sqrt{n}}$