Question

A new medicine is said to help improve sleep. Eight subjects are picked at random and given the medicine. The means

hours slept for each person were recorded before starting the medication and after.

Short answer

The test is for paired or matching samples.

Step-by-step solution

Given information

Eight people were chosen at random and given drugs to help them sleep better. The average sleep hours for each person are recorded before and after they get drugs.

To identify the most appropriate hypothesis test for the supplied data.

Assuming a mean difference in sleeping hours before and after drug administration as $\mu$

The null and alternative hypotheses are stated as follows:

$$\begin{gathered} {\mathrm{H}}_0:\mu =0 \\ {\mathrm{H}}_{\mathrm{a}}:\mu \ne 0 \end{gathered}$$

This shows that this hypothesis test is for matching or paired test.