Chapter 12.5, Problem 1LC

To determine

To find: The survey of tenth student who enters the cafeteria.

Answer to Problem 1LC

The surveys on every tenth students who enter the cafeteria are systematic.

Explanation of Solution

Given information:

There are ten students.

Calculation:

Consider the expression

The survey is done in every tenth student who enters the cafeteria.

So, the survey is conducted into fixed number of student, therefore we use the definition of systematic sampling method;

Systematic Sampling method: In this method select any number $k$ at random, and then survey every $k^{th}$ person in the sample.

Put the value $k=10$ , then by the definition of systematic sampling method, the survey of every tenth students who enter the cafeteria is systematic.

Therefore, the surveys on every tenth students who enter the cafeteria are systematic.