Assume that two very large companies (A and B) each pick random samples of their employees. Company A had 5000 employees. Company B has 15,000 employees. In both surveys, company will record number of sick days taken by each and every sampled employee.
If each firm randomly selects 3% of its employees, which of the following is true regarding the sampling distributions of sample means?
A. The standard deviation of sampling distribution of sample mean will be smaller for larger company (Company B) because a larger sample is being chosen.
B. The sampling distributions of sample means will have regarding the same standard deviation since in both cases we're choosing 3% of the employees.
C. The smaller company (Company A) will have sampling distribution with smaller standard deviation.
D. None of the above