3. Eye contact effect. In a study of the effect of applicant's eye contact (Factor A) and personnel officer's gender (Factor B) on the personnel officer's assessment of likely job success of applicant, 10 male and 10 female personnel officers were shown a front view photograph of an applicant's face and were asked to give the person in the photograph a success rating on a scale of 0 (total failure) to 20 (outstanding success). Half of the officers in each gender group were chosen at random to receive a version of the photograph in which the applicant made eye contact with the camera lens. The other half received a version in which there was no eye contact. The data are saved in the file "eyecontact.txt", where the 1st column is for the success rating, the 2nd column is for presence/absence of eye contact (1-present; 2- absent), the 3rd column is for the personnel officer's gender (1- male, 2-female), and the last column is for the replicate index. a. Which ANOVA model should be used here? Obtain the fitted values for the ANOVA model. b. Obtain the residuals. Do they sum to zero for each treatment? c. Prepare the residuals vs. fitted values plot. What ANOVA model assumption(s) can be exam- ined based on this plot? What do you find? Explain. d. Prepare the residuals Normal Q-Q plot. What ANOVA model assumption(s) can be examined based on this plot? What do you find? Explain. 4. Eye contact effect (Contd). a. Prepare an interaction plot based on the estimated treatment means. Comment on the presence or absence of the eye-contact main effects, the gender main effects, and the eye contact/gender interaction effects. b. Derive the ANOVA table. Does anyone source account for most of the total variability in the success ratings in this study? c. Test whether or not interaction effects are present at level 0.1. State the null and alternative hypotheses, decision rule based on the critical value approach, and the conclusion. What is the p-value of this test? d. Test whether or not eye contact and gender main effects are present at level 0.1. State the null and alternative hypotheses, decision rule based on the critical value approach, and the conclusion, for each test. What is the p-value of each test? e. Do the results in parts (c) and (d) confirm your graphic analysis in part (a)