Answer
P-value $\gtα$. Do not reject the null hypothesis.
There is not enough evidence to conclude that the reaction times are different.
Work Step by Step
$H_0: M_{Female}=M_{Male}$ versus $H_1: M_{Female}\ne M_{Male}$
In MINITAB, enter the Female Students values in C1 and the Male Students values in C2.
Select Stat -> Nonparametrics -> Mann-Whitney
In "First Sample" enter C1 and in "Second Sample" enter C2. In "Confidence Level" enter 99. In "Alternative" select not equal.
Click OK.
P-value $=0.472\gtα=0.01$