Could you help me on my homework questions? Please include explanations so I can better understand.

Data Set

6. What main effects were identified in the two-way ANOVA?

7. Was the interaction of the two factors statistically significant?

8. What can be concluded about the effects of different types of test preparation on composite SAT scores on the basis of these data?

Results ANOVA ANOVA - Composite SAT Cases Sum of Squares df Mean Square F P Training 160998.750 80499.375 4.444 0.025 Math 294759.006 ANN 147379.503 8.135 0.002 Training * Math 72168.088 18042.022 0.996 0.432 Residuals 380428.333 21 18115.635 Note. Type Ill Sum of Squares Descriptives Descriptives - Composite SAT Training Math Mean SD N A 1065.000 35.355 1000.000 135.499 1310.000 56.569 B 1185.000 106.066 1206.000 147.750 WAWQUINNON WN- WN- W N 1380.000 113.578 C 1136.667 162.891 1337.500 144.539 1473.333 148.436ANOVA ANOVA - Composite SAT Cases Sum of Squares dif Mean Square F P Training 317286.667 N 158643.333 5.592 0.009 Residuals 766050.000 27 28372.222 Note. Type Ill Sum of Squares Descriptives Descriptives - Composite SAT Training Mean SD N 1075.000 163.520 1254.000 146.454 1318.000 192.169 10 Post Hoc Tests Standard Post Hoc Comparisons - Training Mean Difference SE t Ptukey A -179.000 75.329 -2.376 0.062 -243.000 75.329 -3.226 0.009 B -64.000 75.329 -0.850 0.676 Note. P-value adjusted for comparing a family of 3