题目
设总体Xsim N(mu,sigma^2)，其中sigma^2已知，待检验假设为mathrm(H)_0: mu=mu_0 rightarrow mathrm(H)_1: mu neq mu_0，则在显著性水平alpha之下，mathrm(H)_0的拒绝域为 ____.A. (overline(X)-mu_0)/(sigma/sqrt(n)) > z_(alpha)B. (overline(X)-mu_0)/(sigma/sqrt(n)) > z_(alpha/2)C. |(overline(X)-mu_0)/(sigma/sqrt(n))| > z_(alpha)D. |(overline(X)-mu_0)/(sigma/sqrt(n))| > z_(alpha/2)
设总体$X\sim N(\mu,\sigma^2)$，其中$\sigma^2$已知，待检验假设为$\mathrm{H}_0: \mu=\mu_0 \leftrightarrow \mathrm{H}_1: \mu \neq \mu_0$，则在显著性水平$\alpha$之下，$\mathrm{H}_0$的拒绝域为 ____.
A. $\frac{\overline{X}-\mu_0}{\sigma/\sqrt{n}} > z_{\alpha}$
B. $\frac{\overline{X}-\mu_0}{\sigma/\sqrt{n}} > z_{\alpha/2}$
C. $\left|\frac{\overline{X}-\mu_0}{\sigma/\sqrt{n}}\right| > z_{\alpha}$
D. $\left|\frac{\overline{X}-\mu_0}{\sigma/\sqrt{n}}\right| > z_{\alpha/2}$
题目解答
答案
D. $\left|\frac{\overline{X}-\mu_0}{\sigma/\sqrt{n}}\right| > z_{\alpha/2}$