A. You are evaluating an after-school program designed to increase the normalized math scores of students who were in the control group of the original Balsakhi program. How many individuals would you need in each group in order to measure an effect size of a fifteenth of a standard deviation? Calculate your answer assuming power of 80%, an alpha of 0.05, and even numbers of students in the treatment and control groups. Base your calculations on an individual randomization that does not take baseline covariates into account. If using Stata, use the "sampsi" command If using R, use the twomeans command available as part of the exercise materials.Hint: Normalized math scores are given by the variable "post_mathnorm" in the Balsakhi dataset. B. You have the funds to administer 6800 math tests after the intervention. Given the implications that this has for your sample size, what is the smallest effect size that you can expect to measure? Please approximate upto three decimal places (e.g. 0.321). Hint: You can back out the effect size using the formula above. C. Given the costs associated with the program, it would only be considered worthwhile if it succeeds in increasing the normalized math scores of students from the Balsakhi control group by a tenth of a standard deviation. Based on your answer to 1.B., is it worthwhile to conduct the evaluation based on your ability to measure outcomes using post-intervention tests