Shoe size data, collected at the beginning of the semester, can be separated according to gender. Let the WCU female population be represented by mu subscript F, and the WCU male population be represented by mu subscript M. The mean, standard deviation and sample size for both male and female shoe size date is shown in the table below:

d ' X t, E. \\ HI 1.0 _\\ 00 _\\ 4' EH Assuming female and male shoe sizes are measured the same way, is there convincing evidence to suggest that the average shoe size of all WCU female students is less than the average shoe size of all WCU male students? Calculate a test statisic for a two sample ttest