Chapter 4.2, Problem 87E

(a)

To determine

To identify any flaws you see in the proposed design for this experiment.

Explanation of Solution

In the question, a group of students want to conduct an experiment to determine whether Brand A or Brand B deodorant last longer. Thus, the flaws we see in the proposed design is as since all of one group got a certain type of deodorant and the other group got the other type, and it has been established that male and female bodies respond differently to deodorants, we do not know which type of deodorant is more effective. We also do not know how much each person sweats, their diet/health, and level of activity throughout the day which may influence the effectiveness of deodorant.

(b)

To determine

To describe how you would design the experiment and explain how your design addresses each of the problems you identified in part (a).

Answer to Problem 87E

A matched pair design is used.

Explanation of Solution

In the question, a group of students want to conduct an experiment to determine whether Brand A or Brand B deodorant last longer. Thus, the design for this experiment which can be best fitted is a matched pair design experiment, a type of randomized block design. And performing the experiment as a matched pairs experiment would help to identify the effect of the deodorant. Each person sweats a different amount and has a different lifestyle so it would be more effective to compare the deodorants using the same person.