Question

Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the $1\%$significance level.

State the null and alternative hypotheses.

Short answer

The null and alternative hypotheses are$$\begin{gathered} H_0:{\mu }_{\text{after}}-{\mu }_{\text{before}}\ge 0 \\ {H}_1:{\mu }_{\text{after}}-{\mu }_{\text{before}}<0 \end{gathered}$$

Step-by-step solution

Given information

The table is

State the null and alternative hypotheses.

Before taking medication, the average blood pressure was above zero before taking medication, the average blood pressure was below zero are the null and alternative hypotheses.

$$\begin{gathered} H_0:{\mu }_{\text{after}}-{\mu }_{\text{before}}\ge 0 \\ {H}_1:{\mu }_{\text{after}}-{\mu }_{\text{before}}<0 \end{gathered}$$