Please give some help with this problem.

Problem 3. [10 points] A researcher comes to you and says that he wants to check the effect of teaching style {A : strict vs. lenient), the teacher's gender (13 = male vs. female), the age of the students (C = [i or 15), as well as their interaction terms, on students' scores in some standardized test. It: collect the data the researcher has to be present in the class, and he can only attend four classes. You suggest to use a fractional design. a. [2] Using I=ABC as the dening relation, the treatments in the principal fraction are a, b, c, ahc. In this design, aliasing occurs. Explain what it means for two effects to be aliased. b. [1] What is the resolution of this design? c. [3] Write out the alias structure for this design. (1. [2] Write the formula of how to calculate the total effect of A. e. [2] You are given the sums of squares for each total effect. Which effects are likely to be signicant? Why? Total eHect Sum of squares [A] 317325125 [B] 9.4520125 [C] 4.1328625