A sample of size 25 is selected at random from a finite population.If the finite population correction factor is 0.63,then the population size is:

A) 25
B) 66
C) 41
D) None of these choices.

The finite population correction factor (FPC) is given as:

FPC = sqrt((N-n)/(N-1))

where n is the sample size and N is the population size.

Substituting the given values, we get:

0.63 = sqrt((N-25)/(N-1))

Squaring both sides, we get:

0.3969 = (N-25)/(N-1)

Multiplying both sides by (N-1), we get:

0.3969N - 0.3969 = N - 25

Simplifying and rearranging, we get:

0.6031N = 24.6031

N = 40.79 (rounded to two decimal places)

Therefore, the population size is 41 (closest integer to 40.79).

Hence, the answer is C)41.