Researchers at the University of Mississippi wanted to determine whether the reaction time (in seconds) to go/no go stimulus of males differed from that of females. The researchers randomly selected 20 females and 15 males males to participate in the study. The go/no go stimulus required the student to respond to a particular stimulus and not to respond to other stimuli. The results are as follows:

Female Students Male Students
0.588 0.652 0.442 0.293 0.375 0.256 0.427
0.34 0.636 0.391 0.367 0.654 0.563 0.405
0.377 0.646 0.403 0.377 0.374 0.465 0.402
0.38 0.403 0.617 0.434 0.373 0.488 0.337
0.443 0.481 0.613 0.274 0.224 0.477 0.655

a. Test whether there is a difference in the reaction times of males and females at the α = 0.05 level of significance.
b. Set up the null and alternative hypotheses.
i. H0 :
ii. H1 :
c. What is the sample evidence?
The statistics for Females: n1 = , x1¯ = , and s1 = .
The statistics for Males: n2 = , x2¯ = , and s2 = .