Chapter 4, Problem R4.9RE

(a)

To determine

To describe an experiment using a completely randomized design to learn the effect on difficulty on estimated time.

Explanation of Solution

Given: thirty students.

There are two treatments: easy maze and difficult maze.

Let us assign a unique number between $1\text{ and }30$ to each student.

Use slips of paper, a random digit table or calculator to select 15 unique integers between $1\text{ and }30$ . The corresponding $15$ students are then assigned to the easy maze.

The remaining $15$ students are assigned to hard maze.

We will then compare the estimates of the time worked among the two treatment groups.

(b)

To determine

To describe a matched pairs experimental design using the same thirty subjects.

Explanation of Solution

Given: thirty students.

There are two treatments: easy maze and difficult maze.

Let us use two slips of paper, write “A” on one slip and “B” on other slip.

Put the slips face down on a table and shuffle them. Let each student randomly select one of the two slips and be sure to return and shuffle the slips around after each drawing. The students who selected the slip containing “A” will first execute the easy maze and then execute the difficult maze.

The students who selected the slip containing “B” will first execute the difficult maze and then execute the easy maze.

We will then compare the estimate of the time worked among the easy maze and the difficult maze.

(c)

To determine

To find out which design would be more likely to detect the difference in the effects of the treatments and explain.

Answer to Problem R4.9RE

Matched pair design.

Explanation of Solution

Matched pairs would be more likely to detect the difference in the effects of the treatments because with one subject helps reduce the differences in the experiment.and this method is very effective in this case. And give the unbiased result of the survey.