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 6584 employees at the company and wants to conduct a systematic sample of size 70.
a. What is k?
b. Determine the individuals who will be administered the survey.

Answer 1

Answer:

a. k = 94

b. Every 94th individual.

Step-by-step explanation:

Systematic sampling is a type of probability sampling where a random sample is selected from a large population by first dividing the whole population into n groups and selecting every $\frac{N}{n}=k^{th}$ individual from each group.

The population size is: N = 6584.

The sample size is, n = 70

The number groups is, 70.

Each consisting of $\frac{6584}{70}=94.057\approx 94$ individuals.

(a)

The kth individual will be the 94th individual from each group.

Thus, k = 94.

(b)

The individuals who will be administered the survey are the 94th individual of all the 70 groups.