A study of visual and auditory reaction time is conducted for a group of college basketball players. Visual reaction time is measured by the time needed to respond to a light signal, and auditory...

Is there evidence that the visual reaction time tends to beslower than the auditory reaction time?

(a) Which test, two-sample ?t or paired ?t, should be used? Explain briefly the reason of your choice and any assumptions needed for the test.

(b) Carry out the appropriate test. State the appropriate null and alternative hypotheses, cite the test statistic value or the P-value of your test and state your conclusion. Use ?=0.05

Extracted text: A study of visual and auditory reaction time is conducted for a group of college basketball players. Visual reaction time is measured by the time needed to respond to a light signal, and auditory reaction time is measured by the time needed to respond to the sound of an electric switch. Six subjects were measured with time recorded to the nearest millisecond: Subject Visual Auditory 1 161 157 2 203 207 3 235 198 4 176 161 5 201 234 188 197 Is there evidence that the visual reaction time tends to be slower than the auditory reaction time?