R Functions Values

(5) A 1989 study investigated the effect of heredity and environment on intelligence. From the adoptive register in France, researchers selected samples of adopted children whose biological parents (BP) and adoptive parents (AP) came from either the very highest or the very lowest socioeconomic status (SES) categories (based on years of education and occupation). The 38 selected children were given intelligence quotient (IQ) tests. Summary statistics for the IQ of the children are SES of AP SES of BP Sample size Mean St. dev. High High 10 119.6 12.25 High Low 10 103.6 12.71 Low High 8 107.5 11.94 Low Low 10 92.4 15.41 a) What are the experimental units and the response variable? (b) What are the factors and their levels? (c) The following is an incomplete ANOVA table. Determine the missing values which are labeled as A, B, C, D, E, and F in the table. Source df SS MS F-stat p-value Adoptive A 1277.388 1277.388 F 0.011 Biological B 2275.788 2275.788 13.024 0.001 Adoptive:Biolgical C E 1.906 0.011 0.917 Error 34 5941.2 174.741 Total D 9496.282 (d) At 5% significance level, do the data provide sufficient evidence to conclude that the SES of biological and adoptive parents interact in their effect on the intelligence of the children? (e) At 5% significance level, do the data provide sufficient evidence to conclude that there is a difference in mean IQ score between children with high SES biological parents and children with low SES biological parents? (f) At 5% significance level, do the data provide sufficient evidence to conclude that there is a difference in mean IQ score between children with high SES adoptive parents and children with low SES adoptive parents