Note: Show your work. Round to 2 decimal places. An experiment was carried out on a group of 5th graders examining 3 Incentive Conditions: (1) Verbal praise; (2) Monetary reward; (3) No specific incentive. There were also 2 types of problems: (1) Simple; (2) Complex. Five 5th graders were randomly assigned to each of the 6 combinations of incentive condition and problem complexity. The mean numbers of problems correctly solved in 20 minutes for each of the conditions are given below. Please interpret the results. Incentive (I) Complexity (C) Simple Complex 1) Verbal Monetary None 14 16 12 12 12 15 12 14 13 15 10 11 15 13 14 9 10 10 11 6 5 12 8 9 13 7 7 9 10 7 State the null hypothesis and the alternative hypothesis. 2) Calculate the Sum of Squares (SS) for (a) factors A, B, and A x B variation, (b) withingroups variation, and (c) the total variation (Note: make sure to use the right notation) 3) Determine the degrees of freedom (df) for (a) factors A, B, and A x B variation, (b) within-groups variation, and (c) the total variation. (Note: make sure to use the right notation) 4) Calculate the Mean Square (MS) for (a) factors A, B, and A x B variation, (b) withingroups variation 5) Calculate the F statistic 6) Construct an ANOVA source table to accommodate the sources and figures from questions 2-5 7) Report the critical value for the F statistic 8) Make a statistical decision 9) Make a post-hoc test with the Tukey's HSD (if needed) and report the results 10) Provide an interpretation for the results