Continuing on the theme of high school teacher salaries and gender differences, suppose the years of experience is divided into three groups - G1( 20 years) and the average high school teacher salaries for male and female teachers are reported in a standardized way shown below 20 years Exp Male Teachers - 0.16 0.25 0.33 Female Teachers - 0.25 0.20 0.30 So, for instance, a male teacher with more than 20 years experience, on average, earns a salary that is 0.33 standard deviations higher than the average salary of all high school teachers, whereas a female teacher with less than 10 years experience will earn 0.25 standard deviations less than the average. 1. Write down (i) the main effects model and (ii) the interaction model for the standardized salary as a function of experience group and gender. Please define the variables. 2. What are the beta estimates for the interaction model? 3. How would you test the hypothesis that standardized salaries for males and females are same across the different experience groups? Please explain your reasoning Continuing on the theme of high school teacher salaries and gender differences, suppose the years of experience is divided into three groups - G1( 20 years) and the average high school teacher salaries for male and female teachers are reported in a standardized way shown below 20 years Exp Male Teachers - 0.16 0.25 0.33 Female Teachers - 0.25 0.20 0.30 So, for instance, a male teacher with more than 20 years experience, on average, earns a salary that is 0.33 standard deviations higher than the average salary of all high school teachers, whereas a female teacher with less than 10 years experience will earn 0.25 standard deviations less than the average. 1. Write down (i) the main effects model and (ii) the interaction model for the standardized salary as a function of experience group and gender. Please define the variables. 2. What are the beta estimates for the interaction model? 3. How would you test the hypothesis that standardized salaries for males and females are same across the different experience groups? Please explain your reasoning