In 2005 Larry Summers, then president of Harvard University received an avalanche of criticism for his attempt to explain why in mathematics there are more male professors than female professors. His suggested that there were innate differences that might permanently thwart the search for a more perfect gender balance. In an attempt to refute Dr Summers’ hypothesis several researchers conducted large-scale mathematics tests of male and female students. Suppose the results were recorded.

Conduct whatever tests you deem necessary to draw conclusions from these data.