Stat-Power Analysis

I’m studying for my Statistics class and don’t understand how to answer this. Can you help me study?

Using G*Power and the information provided, answer the following:

Problem 1:

To what extent does age, race, and gender predict the annual salary of bank presidents?

Conduct an a-priori analysis, a medium effect size, and alpha of .05 and a power of .80. What is the sample size you need to prevent a type II error? What is a type error, and how does an adequate sample prevent it? Show your work by providing your G*Power output.

Problem 2:

What is the difference in growth rate between publicly traded enterprises and privately held firms?

Using a post hoc analysis with a sample size of 100, a medium effect size, and an alpha of .01, what is the power of your study? Explain what the power value means. Show your work by providing your G*Power output.

Problem 3:

What is the difference in self-efficacy, burnout, and workload among hospital, university, and manufacturing administrators?

Conduct an a-priori analysis using a large effect size, an alpha of .05, and a power of .95. What is the total number of participants needed in your sample? How many participants do you need in each group? Why is it important to have an equal number of participants in each group? Show your work by providing your G*Power output.