Question

If systematic selection is used with a starting point of 10, a population size of 100, and a necessary sample size of 20, the first three items selected for examination would be___.

Answer 1

In systematic sampling with a population size of 100 and a sample size of 20 starting at 10, the first three items selected would be the 10th, 15th, and 20th items.

Step-by-step explanation:

The student is asking about systematic sampling, which is a type of probability sampling where elements from the population are selected at regular intervals. In this case, with a starting point of 10 in a population of 100 and a sample size of 20 needed, we need to calculate the sampling interval. This is done by dividing the population size by the sample size.

The interval (k) would be 100/20 = 5. Starting from 10, the first three items selected would be the 10th, 15th, and 20th participants.

The first three items selected for examination in systematic selection would be the 10th, 15th, and 20th items.