One side of the brain is dominant over the other. A psychologist wishes to determine whether the reaction time for voluntary movement is more rapid for the hand controlled by the dominant side of the brain. Fifteen random subjects are given five instructions for each hand in random order and the difference in total reaction time for each hand is recorded for each subject.
a. Give the most logical null and alternative hypotheses.
b. What is the test statistic?
c. Give the degrees of freedom and the critical value at a = 0.05.