Final answer:
The contrasts of interest in this problem are comparing the effects of auditory and visual cues and different elapsed times on reaction time. Hypothesis tests can be conducted to determine if there are significant differences. The overall significance can be evaluated using the familywise error rate.
Step-by-step explanation:
The contrasts of interest in this problem are comparing the effects of auditory and visual cues, as well as different elapsed times between cue and stimulus, on the reaction time of the human subject. The four contrasts T1 - T4, T2 – T5, T3 – T6, and (T1 + T2 + T3)/3 – (T4 + T5 + T6)/3 represent specific comparisons between these treatment combinations.
To formulate hypotheses for each contrast, we can assume that there is no difference in reaction time between the treatments being compared. We can then conduct hypothesis tests at an individual level with a significance level of 0.05 to determine if there is enough evidence to reject these null hypotheses.
The overall significance of these four tests can be determined by considering the probabilities of all null hypotheses being true and not obtaining any false positives. This probability is known as the familywise error rate and is typically controlled using methods such as the Bonferroni correction.