Question

A professor chooses a group of 5 distinct students from a class of 30 by putting everyone’s name on a slip of paper and pulling 5 of those slips at random out of a hat. (a) What sampling method was used here? (b) Was the sample likely to have been chosen with or without replacement?

Answer 1

(a) The Sampling method used is Simple Random Sampling.

Simple random sampling is a sampling technique in which each and every element in the population has an equal chance of being selected in the sample. Under simple random sampling the selection of items completely depends on chance.

Here, in this case each student has an equal chance of being selected.

(b) The sampling method is used without replacement.

As, the professor need to choose 5 distinct students from a class of 30. And the slip with the name of student who is selected must have removed out of hat containing 30 slips and then next sample will be drawn as if the slip will be replaced there is chance of same student getting selected twice.