An government official believes that the average annual income of men and women are the same in the United States. The official knows the population standard deviation of income for men and women. The...

An government official believes that the average annual income of men and women are the same in the United States. The official knows the population standard deviation of income for men and women. The following information outlines the information for each sample.

Men                          Women

N₁=75                        N₂=20

X₂=$52,004              X₂=$42,238

SD=$4,000                SD=$5000

Test the official's claim at .05 level