Hypothesis Testing

$$H_0$$  

$$H_1$$  

$$\alpha$$  

None of these

$$H_0$$  

$$H_1$$  

$$\alpha$$  

None of these

$$H_0$$  

$$H_1$$  

$$\alpha$$  

None of these

$$H_1:\ \mu<k$$  

$$H_1:\ \mu\ne k$$  

$$H_0:\mu=k$$  

None of these

$$H_1:\ \mu<k$$  

$$H_1:\ \mu\ne k$$  

$$H_0:\mu=k$$  

None of these

Reject $$H_0$$  

Do not reject $$H_0$$  

Reject $$H_0$$  

Do not reject $$H_0$$  

$$z=\frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt[]{n}}}$$  

$$t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt[]{n}}}$$  

$$z=\frac{\overline{x}_1-\overline{x}_2}{\sqrt[]{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}$$  

None of these

$$z=\frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt[]{n}}}$$  

$$t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt[]{n}}}$$  

$$z=\frac{\overline{x}_1-\overline{x}_2}{\sqrt[]{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}$$  

None of these

$$z=\frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt[]{n}}}$$  

$$t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt[]{n}}}$$  

$$z=\frac{\overline{x}_1-\overline{x}_2}{\sqrt[]{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}$$  

None of these