SAT High School

A personnel manager wanted to study the opinion of workers about the recently leadership style of his company. He selected 30 workers from the alphabetical master list of 300 workers by taking every 10th name after selecting the first randomly. What is the sampling method used?​ why ? List all individuals included in the sample ?

Answers

Answer 1

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.

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