At a Local College, 65 Female Students Were Randomly Selected $\alpha = 0.01$

Essay

At a local college, 65 female students were randomly selected and it was found that their mean monthly income
was $616 with a population standard deviation of $121.50. Seventy-five male students were also randomly
selected and their mean monthly income was found to be $658 with a population standard deviation of $168.70.
Test the claim that male students have a higher monthly income than female students. Use $\alpha = 0.01$