Question

Consider the students in your statistics class as the population and suppose they are seated in four rows of 10 students each. To select a sample, toss a coin. If it comes up heads, you use the 20 students sitting in the first two rows as your sample. If it comes up tails, you use the 20 students sitting in the last two rows as your sample.

A) is it possible to include students sitting in row 3 with students sitting in row 2 in your sample? (Pick one)
O Yes, it is possible with this described method of selection.
O No, it is not possible with this described method of selection.
O Sometimes it is possible with this described method of selections.

Answer 1

No, it is not possible with this described method of selection.

Explanation:

According to the method described in the question, you can not pick row2 and row3 at the same time.

Because the coin comes either heads or tails. In case of heads row1 and row2 is selected, in case of tails row 3 and row 4 is selected.

To include students from row2 and row3 in the sample, the coin has to come up heads and tails at the same flip which is impossible.