Question

Suppose the size of a population is N=5500, and the sample size desired is n=12. What value of k should be used to obtain a systematic sample from this population?

A. 458
B. 464
C. 458.33
D. 464.33

Answer 1

To obtain a systematic sample from a population of size 5500 with a desired sample size of 12, the value of k should be approximately 458.33.

Step-by-step explanation:

In a systematic sample, every kth member of the population is selected. To find the value of k, we divide the population size (N) by the desired sample size in Systematic sample (n). In this case, N = 5500 and n = 12.

k = N/n = 5500/12 ≈ 458.33.

Therefore, the value of k that should be used to obtain a systematic sample is 458.33.