Question

A random number generator is used to select a student from the alphabetical listing of all undergraduate students in the false semester, starting with that student, every fifth of students chosen until seventy five students are included in the sample which sampling method was used to obtain this sample

Answer 1

Answer:The sampling method used to obtain this sample is known as systematic sampling.

In systematic sampling, the selection of items for the sample is done by using a fixed interval. In this case, every fifth student is chosen from the alphabetical listing of all undergraduate students.

Here's how the sampling process works:

1. The students are listed alphabetically.

2. The random number generator is used to select a starting point, which corresponds to a specific student on the list.

3. Starting from that student, every fifth student is chosen until a total of seventy-five students are included in the sample.

For example, if the random number generator selects the student at position 3, then the sample would include the students at positions 3, 8, 13, 18, and so on, until a total of seventy-five students are included.

Systematic sampling is a useful method when the population has some sort of order or structure, like an alphabetical listing, and you want to ensure that the sample is representative of the population.

Explanation: