Chapter 4.2, Problem 75E

(a)

To determine

To explain the statement clearly.

Explanation of Solution

In this study, a nutrition experimenter intends to compare the weight gain of newly weaned male rats fed Diet A with that of rats fed Diet B.

In this case, if all rats from litter $1$ were fed Diet A and if these rats gained more weight, we would not know if this was because of the diet or because of genetics and initial health. The statement mean this from the above question given.

(b)

To determine

To describe how to randomly assign the rats to treatment using a randomized block design with litters as blocks.

Explanation of Solution

In this study, a nutrition experimenter intends to compare the weight gain of newly weaned male rats fed Diet A with that of rats fed Diet B.

Use a randomized block design with the litters as blocks. For each of the litters randomly assign half of the rats to receive Diet A and the other half to receive Diet B. This will allow researchers to account for the differences in weight gain caused by the differences in genetics and initial health.

(c)

To determine

To use technology or Table D to carry out the random assignment.

Explanation of Solution

In this study, a nutrition experimenter intends to compare the weight gain of newly weaned male rats fed Diet A with that of rats fed Diet B.

Now, we will use table D for the assignment to carry out.

Thus, it is given there are ten rats from litter $1$ and ten rats from litter $2$ .

Now, we will form blocks of size ten based on how overweight the rats are:

Block $1$ : Litter $1$ with ten rats.

Block $2$ : Litter $2$ with ten rats.

Every rat in each block should receive a treatment. Thus, we will select a unique two-digit number for each rat from $1\text{ to 20}$ . Then randomly assign the rats for the randomized block treatment.

Thus, if the number is between $1\text{ to 20}$ , then the rat is assigned to the Block $1$ with Litter $1$ and then first ten rats will be assigned to Block $1$ and the remaining rats will be assigned to Block $2$ with Litter $2$ with ten rats.