15.55 Response Times An experiment was conducted to compare the response times for two different stimuli. To remove natural person-to- person variability in the responses, both stimuli were presented to each of nine subjects, thus permitting an analysis of the differences between stimuli within each person. The table lists the response times (in seconds):

a. Use the sign test to determine whether sufficient evidence exists to indicate a difference in the mean response times for the two stimuli. Use a rejection region for which a 0.05.

b. Test the hypothesis of no difference in mean response times using Student's t test.

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Subject Stimulus 1 Stimulus 2 1 9.4 10.3 23 2 7.8 8.9 5.6 4.1 4. 12.1 14.7 5 6.9 8.7 6 4.2 7.1 7 8.8 11.3 8 7.7 5.2 9 6.4 7.8