If a systematic random sample is to be selected of size 100 from a population with 5,000 items, the first item selected from the ordered population will be:
A) randomly selected between 1 and 100.
B) randomly selected between 1 and 50.
C) any randomly selected value between 1 and 5,000.
D) item 50.

Question

Quizplus · Accepted Answer

In systematic sampling, the first item is selected at random within the first interval, which is determined by dividing the population size by the sample size (5000/100 = 50). Therefore, the first item must be randomly selected between 1 and 50.

If a Systematic Random Sample Is to Be Selected of Size