a) What type of experimental design is this? The design is a-Select- factorial experiment with What are the ex-Select- nits? O elementar O fourth-gra O genders 2X3 O school boa O standardiz 2 X 4 2X2 What are the fa elementary sch fourth-grade st 3 X 4 3X3 genders school boards standardized reading tests 4X4 ests endent variables) and levels of interest to the school board? (Enter 0 if the listed item is not a factor.) levels levels levels levels levels (b) Do the data indicate that the effect of gender on the average test score is different depending on the student's school? Test for an interaction using ∞ = 0.05. State the null and alternative hypotheses. O Ho: There are differences among the factor means. H: There are no differences among the factor means. O Ho: The factors of school and gender interact. H: The factors of school and gender do not interact. O Ho: The factors of school and gender do not interact. H: The factors of school and gender interact. O Ho: The factors of school and gender interact. H₂: There are differences among the factor means. O Ho: There are no differences among the factor means. H: There are differences among the factor means. replications. Find the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.)