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 4247 employees at the company and wants to conduct a systematic sample of size 40.

Required:
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 19. Starting with the first individual selected, the individuals in the survey will be: _________

Answer 1

a). 106

b). See Explanation

Explanation:

According to the Question,

Given, The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 4247 employees at the company and wants to conduct a systematic sample of size 40.

a). Thus, the Required Value of K is 4247/40 = 106.175 ≈ 106

b). The individuals who will be administered the survey. Randomly select a number from 1 to k. Suppose that we randomly select 19. Starting with the first individual selected, the individuals in the survey will be

1. 19
2. (19+106) = 125
3. (125+106) = 231
4. 337
5. 443
6. 549
7. 655
8. 761
9. 867
10. 973
11. 1079
12. 1185
13. 1291
14. 1397
15. 1503
16. 1609
17. 1715
18. 1821
19. 1927
20. 2033
21. 2139
22. 2245
23. 2351
24. 2457
25. 2563
26. 2669
27. 2775
28. 2881
29. 2987
30. 3093
31. 3199
32. 3305
33. 3411
34. 3517
35. 3623
36. 3729
37. 3835
38. 3941
39. 4047
40. 4153