Chapter 4.2, Problem 63E

(a)

To determine

To describe how you would randomly assign the subjects to the treatments using slips of paper.

Explanation of Solution

In this study, the researchers studied about the effects of the survivor guilt on the employees when their co-workers are layoff from the company.

Thus, it is given there are $120$ students. Give each student a unique number from $1\text{ to }120$ .

We have to randomly assign the subjects to the treatment using slips of paper. This can be done as;

Firstly, make $120$ slips of paper, write each slip with numbers from $1\text{ to }120$ . Pick a random slip and assign the number you obtain to treatment $1$ . Repeat unit $40$ (unique) students have been selected for treatment $1$ .

Do the same to select $40$ (unique) students for treatment $2$ (who were not in the group for treatment $1$ )

The remaining $40$ students will be selected for treatment $3$ .

(b)

To determine

To describe how you would randomly assign the subjects to the treatments using technology.

Explanation of Solution

In this study, the researchers studied about the effects of the survivor guilt on the employees when their co-workers are layoff from the company.

Thus, it is given there are $120$ students. Give each student a unique number from $1\text{ to }120$ .

We have to randomly assign the subjects to the treatment using technology. This can be done as;

For this, use Excel to generate $40$ random number from $1\text{ to }120$ assign them to treatment $1$ . Use function =RANDBETWEEN( $1,120$ ).

Ignore the repetitions. Do the same to select $40$ (unique) students for treatment $2$ (who were not in the group for treatment $1$ ). The remaining $40$ students will be selected for treatment $3$ .

(c)

To determine

To describe how you would randomly assign the subjects to the treatments using Table D.

Explanation of Solution

In this study, the researchers studied about the effects of the survivor guilt on the employees when their co-workers are layoff from the company.

Thus, it is given there are $120$ students. Give each student a unique number from $1\text{ to }120$ .

We have to randomly assign the subjects to the treatment using Table D. This can be done as;

Firstly, choose a row from table D. Select a first $3$ digit number. if the number is between $001$ and $120$ , then select the corresponding student from treatment $1$ else move on to next $3$ -digit number. Repeat unit $40$ (unique) students have been selected for treatment $1$ .

Do the same to select $40$ (unique) students for treatment $2$ (who were not in the group for treatment $1$ )

The remaining $40$ students will be selected for treatment $3$ .