Treat the full Memory data set as if it had a completely randomized factorial design ( incorrectly assume the data were collected from 48 subjects who each took one test).
a. Write out the three null and alternative hypotheses that will be tested, using symbols and words.
b. Analyze the Memory data using an ANOVA that includes the terms Wordlist, Distracter, and Wordlist*Distracter.
c. Create individual value plots or side- by-side boxplots of the data. Do we have reason to question the equal variance assumption? Create a probability plot or histogram of the residuals to determine if the residuals are consistent with data from a normal distribution. What do you conclude?
d. Provide a p-value corresponding to each of the three hypothesis tests. Create main effects plots and an interaction plot and state your conclusions.