11. A psychologist compares the mean amount of time of REM sleep for subjects under three conditions. She uses three groups of subjects, with four subjects in each group. Table 12.31 shows a SAS printout for the analysis.

a) Report and interpret all steps of the ANOVA F test.

b) Explain how to obtain the plus and minus part of 13.96 for the 95% Bonferroni confi- dence intervals.

c) Set up dummy vanables for a regression model so that an F test for the regression pd- rameters is equivalent to the ANOVA test. Express the null hypothesis both in terms of population means and regression parameters

d) Report the prediction equation obtained in fitting this regression equation