Answer:
The sampling method used is called **systematic sampling**. Systematic sampling is a probability sampling method in which every kth element in a population is selected, where k is a constant. In this case, the personnel manager randomly selected every 10th name after selecting the first name. This ensures that all population members have an equal chance of being selected.
The individuals included in the sample are:
1. John Smith
2. Mary Jones
3. David Brown
4. Susan Williams
5. Michael Green
6. Sarah White
7. Peter Black
8. Jane Blue
9. Robert Red
10. Emily Yellow
11. William Green
12. Susan White
13. David Black
14. Mary Red
15. John Yellow
16. Emily Blue
17. Robert Green
18. Susan White
19. David Black
20. Mary Red
21. John Yellow
22. Emily Blue
23. Robert Green
24. Susan White
25. David Black
26. Mary Red
27. John Yellow
28. Emily Blue
29. Robert Green
30. Susan White
The personnel manager could have used a different sampling method, such as simple random sampling or stratified sampling. Simple random sampling involves randomly selecting elements from a population without regard for any other factors. Stratified sampling involves dividing the population into groups called strata and randomly selecting elements from each stratum.
The personnel manager used systematic sampling because it was simple and efficient. It is also a relatively unbiased sampling method as long as the list of names is randomly ordered.