one Word document for this assignment. You will create this Word document by cutting and pasting SPSS output into Word. Name the file in the following format: lastnamefirstinitialPSY7107-9.doc (example: smithbPSY7107-9.doc).Begin by downloading the following SPSS data setActivity 9.sav (found in Books and Resources for this Week)This week’s assignment consists of two parts. In the first part, you will utilize an existing dataset to compute a factorial ANOVA. All SPSS output should be pasted into your Word document. In the second part, you will be asked to create a hypothetical ANCOVA output table (for variables related to your area of interest). Part A. SPSS AssignmentThe “Activity 9.sav” file contains a dataset of a researcher interested in finding the best way to educate elementary age children in mathematics. In particular, she thinks that 5th grade girls do better in small class sizes while boys excel in larger classes. Through the school district, she has arranged a pilot program in which some classroom sizes are reduced prior to the state-wide mathematics competency assessment. In the dataset, you will find the following variables:Participant: unique identifierGender: Male (M) or Female (F)Classroom: Small (1) – no more than 10 childrenMedium (2) – between 11 and 19 childrenLarge (3) – 20 or more studentsScore – final score on the statewide competency assessment.Now do the following:Exploratory Data Analysis.Perform exploratory data analysis on all variables in the data set. Realizing that you have six groups, be sure that your exploratory analysis is broken down by group. When possible, include appropriate graphs to help illustrate the dataset.Give a one to two paragraph write up of the data once you have done this.Create an APA style table that presents descriptive statistics for the sample.Factorial ANOVA. Perform a factorial ANOVA using the “Activity 9.sav” data set.Is there a main effect of gender? If so, explain the effect. Use post hoc tests when necessary (or explain why they are not required in this specific case).Is there a main effect of classroom size? If so, explain the effect. Use post hoc tests when necessary (or explain why they are not required in this specific case).Is there an interaction between your two variables? If so, using post hoc tests, describe these differences.Is there support for the researcher’s hypothesis that girls would do better than boys in classrooms with fewer students? Explain your answer.Write up the results in APA style and interpret them. Be sure that you discuss both main effects and the presence/absence of an interaction between the two.Part B. Applying Analytical Strategies to an Area of Research InterestBriefly restate your research area of interest.Analysis of Covariance. Using your area of interest, identify one independent and two dependent variables, such that the dependent variables would likely be covariates. Now, assume you conducted an ANCOVA that shows both the first independent variable as well as the covariate significantly predicts the dependent variable. Create a mock ANCOVA output table (see SPSS Output 12.6 in your text for an example) that supports the relationship shown above. Report your mock finding APA style.You should now have the following file:lastnamefirstinitialPSY7107-9.doc (example: smithbPSY7107-9.doc)

Q­−2: [2+3+3 marks] Find integers and such that .Find the GCD and LCM for the numbers 2772 and 37800.Encrypt the message “I NEED HELP” by translating the letters into numbers, applying the encryption function ,and then translating the numbers back into letters. Q­−3: [4×2] Let and be the functions from to .Find .Is onto? Is g one-to-one? Explain you answer.Check whether exists. If it is so, define . Otherwise, provide a reason for not existence of .Check whether exists. If it is so, define . Otherwise, provide a reason for not existence of . Q­−4: [4+4 marks] Of 32 people who save paper or bottles (or both) for recycling, 30 save paper and 14 save bottles. Find the number of people whoStudents need to answer 8 out of 10 questions in biology exam.save bothsave only paper, andsave only bottles.Find the number of the ways a student can choose the 8 questions.In how many ways can a student choose 8 questions if the first three questions are mandatory?In how many ways can a student choose 8 questions if at least 4 of the first 5 questions must be answered? Q­−5: [2+3+3 marks] Consider an experiment of rolling two dice, and assume that each simple event in the sample space is as likely as any other find the probability that:A sum of 7 turns up;A sum of 7 or 11 turns up; A sum is greater than