For a certain experiment, the available experimental units are eight rats, of which four are female (F1, F2, F3, F4) and four are male (M1, M2, M3, M4). There are to be four treatment groups, A, B, C, and D. If a randomized block design is used, with the experimental units blocked by gender, which of the following assignments of treatments is impossible?

a. A (F1, M1), B (F2, M2), C (F3, M3), D (F4, M4)

b. A (F1, M2), B (F2, M3), C (F3, M4), D (F4, M1)

c. A (F1, M1), B (F3, F2), C (F4, M1), D (M3, M4)

d. A (F4, M1), B (F2, M3), C (F3, M2), D (F1, M4)

e. A (F4, M1), B (F1, M4), C (F3, M2), D (F2, M3)

Question

Mathematics

Sydney

3 July, 20:08

For a certain experiment, the available experimental units are eight rats, of which four are female (F1, F2, F3, F4) and four are male (M1, M2, M3, M4). There are to be four treatment groups, A, B, C, and D. If a randomized block design is used, with the experimental units blocked by gender, which of the following assignments of treatments is impossible?

a. A (F1, M1), B (F2, M2), C (F3, M3), D (F4, M4)

b. A (F1, M2), B (F2, M3), C (F3, M4), D (F4, M1)

c. A (F1, M1), B (F3, F2), C (F4, M1), D (M3, M4)

d. A (F4, M1), B (F2, M3), C (F3, M2), D (F1, M4)

e. A (F4, M1), B (F1, M4), C (F3, M2), D (F2, M3)

+5

Answers (1)

Know the Answer?

Leia Garrett · Answer 1

c

Step-by-step explanation:

In the experimental design we are choosing a random rats from both sets either male and female.

each set contains 2 elements (A, B), where A is a Female i. e F1, F2, F3, F4

and B is a male i. e M1, M2, M3, M4.

none of the sets can have 2 male or 2 female.

Only option 'C' has sets which contains B (F3, F2) and D (M3, M4) which is impossible.

Hence c is the answer.