Chapter 25, Problem 25.1CRE

To determine

To identify the individuals and variables studied and state the null and alternative hypotheses corresponding to the study’s objective and indicate which inference procedure you would consider to test them.

Answer to Problem 25.1CRE

The individuals are the elderly patients with PAD,the response variables are the maximum walking distance and the two treatments, matched pairs t test inference procedure is used to test them and the hypotheses is:

  $\begin{array}{l}{H}_0:{\mu }_{D-M}=0\\ H_a:{\mu }_{D-M}>0\end{array}$

Explanation of Solution

In the question, it is given that they study compared the maximum walking distance for twenty such patients once they ate forty gram of dark chocolate and once they ate forty gram of milk chocolate. The milk and dark chocolate conditions were administered on two different weeks chosen random for each patient. Thus, by looking at the study we can say that the individuals are the elderly patients with PAD on which experiments were done and the response variables are the maximum walking distance of the patients and the two treatments of milk and dark chocolate on them. Since the two treatments were compared so we have the null and alternative hypotheses as:

  $\begin{array}{l}{H}_0:{\mu }_{D-M}=0\\ H_a:{\mu }_{D-M}>0\end{array}$

Where D represents the dark chocolate and M represents the milk chocolate. And we would consider matched pairs t test inference procedure to test them as we are comparing the result of the two treatments of the patients.