1. Calculate the sample size needed given these factors:one-tailed t-test with two independent groups of equal sizesmall effect size (see Piasta, S.B., & Justice, L.M., 2010)alpha =.05beta = .2Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample half the size. Indicate the resulting alpha and beta. Present an argument that your study is worth doing with the smaller sample.2. Calculate the sample size needed given these factors:ANOVA (fixed effects, omnibus, one-way)small effect sizealpha =.05beta = .23 groupsAssume 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. Give an argument that your study is worth doing with the smaller sample.3. In a few sentences, describe two designs that can address your research question. The designs must involve two different statistical analyses. For each design, specify and justify each of the four factors and calculate the estimated sample size youll need. Give reasons for any parameters you need to specify for G*Power.Include peer-reviewed journal articles as needed to support your responses to Part I.Note: please provide 5 resources1. Calculate the sample size needed given these factors:2. Calculate the sample size needed given these factors:3. In a few sentences, describe two designs that can address your research question. The designs must involve two different statistical analyses. For each design, specify and justify each of the four factors and calculate the estimated sample size youll need. Give reasons for any parameters you need to specify for G*Power.Include peer-reviewed journal articles as needed to support your responses to Part I.Note: please provide 5 resources