A car dealership wants to determine if their sales staff is discriminating again

Question

A car dealership wants to determine if their sales staff is discriminating against their female customers. The owner sends in husband and wife pairs shopping for a car who are purchasing the car jointly. The owner sends the wife to one salesperson, and the husband to the same staff member on a different day with the same financial information and vehicle of interest. The owner collects the day and compares the price and financing offers made to each couple. Is the data the owner collected dependent or independent?

Explanation / Answer

The data which owner has collected is dependent because the units in one sample will affect the probability of selection of units in other sample i.e. the couple only need to be sampled.

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