Question: Malani wants to determine whether children whose preschool classroom has a window differ in their receptive vocabulary as compared to children whose classroom does not have a window. At the beginning of the school year, Malani randomly assigns 10 children at Rainbow Butterfly Preschool to one of two different classrooms: one classroom which has a window that looks out onto a grassy area or another classroom that has no windows. At the end of the school year, Malani measures children on their receptive vocabulary. In the following are two independent random samples (classroom with and without window) of paired values on the covariate (X; receptive vocabulary measured at beginning of school year) and the dependent variable essay score (Y; receptive vocabulary measured at the end of the school year). Conduct an ANOVA on Y, an ANCOVA on Y using X as a covariate, and compare the results (α = .05). Determine the unadjusted and adjusted means.
