Question

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 4924 employees at the company and wants to conduct a systematic sample of size 60.a. What is K?b. Determine the individuals who will be administered the survey. Randomly select a number from 1 to k. Suppose that we randomly select 11. Starting with the first individual selected, the individuals in the survey will be

Answer 1

Given that:

- The department has an alphabetical list of all 4924 employees at the company.

- The department wants to conduct a systematic sample of size 60.

a. Knowing that the size of the systematic sample is 60, and knowing the total number of employees, you can determine that:

`k=(4924)/(60)\approx82`

b. Since you randomly select this number from 1 to "k":

`11`

You have to select every 82th person (given by the value of "k"). You need to start with person number 11 and end with the person number:

`(82)(60-1)=4838`

Then, you can create this systematic sample:

Hence, the answers are:

a.

`k\approx82`

b.