A company has offices in two different countries. Employee salaries at both locations are strongly skewed toward the higher salaries.
Every month, the company takes separate random samples of \[60\] employees from each location for a survey. Each time, they look at the difference in the mean salary sampled from each location \[\left( \bar{x}_\text{A} - \bar{x}_\text{B} \right)\].
What do we know about the shape of the sampling distribution of \[\bar{x}_\text{A} - \bar{x}_\text{B}\], and why?
Choose 1 answer:
Choose 1 answer:
(Choice A)
It's exactly normal, because both populations are normally distributed.
A
It's exactly normal, because both populations are normally distributed.
(Choice B)
It's approximately normal, because both sample sizes are at least \[30\].
B
It's approximately normal, because both sample sizes are at least \[30\].
(Choice C)
It's skewed, because the populations are skewed, and both sample sizes are at least \[30\].
C
It's skewed, because the populations are skewed, and both sample sizes are at least \[30\].
(Choice D)
The shape cannot be determined since we don't know the shape of either population distribution.
D
The shape cannot be determined since we don't know the shape of either population distribution.