A company has offices in two different countries. Suppose that the average age (in years) of the employees at location A is 40.1 with a standard deviation of 5.5, and the average at location B is 36.7 with a standard deviation of 6.3.
Every month, the company takes separate random samples of 50 employees from each location for a survey. Each time, they look at the difference in the mean age sampled from each location (xA - xB).
What do we know about the shape of the sampling distribution of (xA - xB) and why?