For the following problems, G*Power 3 calculator is required. Problem 2 a. Calculate the sample size needed given these factors: - ANOVA (fixed effects, omnibus, one-way) -small effect size -alpha = .05 - beta = .2 -3 groups b. Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample approximately half the size. Give your rationale for your selected beta/alpha ratio. Indicate the resulting alpha and beta. Given an argument that your study is worth doing with the smaller sample