Researchers at the University of Mississippi wanted to learn the reaction times of students to different stimuli. In the following data, the reaction times for subjects were measured after they received a simple stimulus and a goo-go stimulus. The simple stimulus was an auditory cue, and the time from when the cue was given to when the student reacted was measured. The goo-go stimulus required the student to respond to a particular stimulus and not respond to other stimuli. Again, the reaction time was measured. The following data were obtained:

The researchers used Minitab to test whether the simple stimulus had a lower reaction time than the goo-go stimulus. The results of the analysis are as follows:

(a) State the null and alternative hypotheses.
(b) Is the median reaction time for the goo-go stimulus higher than the median reaction time for the simple stimulus? Use the α = 0.05 level of significance. Why?