2. Consider the reaction time experiment described in Exercise 4 of Chapter 4.

a. [3pts] Write down the two-way complete model for the experiment. Remember to explain each term

in the model.

b. [3pts] Find the sums of squares that are accounted for by the factors and their interactions, i.e., ssA,

ssB and ssAB.

c.[5pts] Generate an interaction plot. Do you see an obvious interaction between the two factors? Carry

out a formal hypothesis testing for the interaction.

d. [3pts] Test the hypothesis that different elapsed times have the same effects on the reaction time.

e.[3pts] Find a 95% confidence interval for the difference between the average reaction time from the

auditory cue and the average reaction time from the visual cue [Hint: this is to compare the two main

effects of factor cue].

f.[3pts] Find an appropriate confidence interval for the difference between auditory cue and the visual

cue, when the elapse time is 5 seconds.