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)

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.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

read more on -

step-by-step explanation: