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## AP®︎/College Statistics

### Course: AP®︎/College Statistics>Unit 9

Lesson 7: Sampling distributions for differences in sample means

# Shape of sampling distributions for differences in sample means

## Problem

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 parenthesis, x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, right parenthesis.
What do we know about the shape of the sampling distribution of x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, and why?