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 2708 employees at the company and wants to conduct a systematic sample of size 30.A) What is k?B) Determine the indviduals who will be administered the survey.

Answer 1

A) 90

B) The individuals in the survey will be 11, 101, 191,...., 2621.

Explanation:

Tenemos lo siguiente a partir del enuciado:

A) let, a consider a department has an alphabetical list of all 2708 employees at company and wants to conduct a systematic sample. Substitute the value as:

k = N/n

reemplanzado nos queda:

k = 2708/30 = 90.26

Lo que quiere decir que el valor de k es de aproximadamente 90 B) Randomly select the number between I and 90, Suppose the randomly selected sumber is 11. The individuals in the survey will be; need to find 30th team, hence by using the airthmetic perogression nth term formula:

30th term = 11+ (30 - 1) *90

30th term = 2621

The individuals in the survey will be 11, 101, 191,...., 2621.

The random sample is obtained