Use software to conduct a split- plot design on the Memory data to test for mean differences in Score due to Major, Wordlist, Distracter, and the Wordlist*Distracter interaction. Be sure to include the whole-plot unit Student in the model and specify that Student is a random factor. Write out the four null and alternative hypotheses corresponding to this study. Create a probability plot or histogram of the residuals to determine if the residuals are consistent with data from a normal distribution. Use the appropriate p-values, main effects plots, and interaction plot in stating your conclusions for each hypothesis.