Sarah wants to conduct an experiment to find answers if her peers in college who are computer students commute different distances to a school than her professors. She found in a recent survey that the everyday commuting distance of professors commutes averages thirteen miles with a population standard deviation of thirteen miles. Commuting distances are obtained for a sample of 120 commuters and the mean distance is found to be ten and a half miles.

Determine whether Sarah can say that the average commute for commuter students at her college is different than her professors.

1. Assuming this is a two-tailed test, find the null and alternative hypotheses using symbols.

2. What are the z-critical value, standard error, and z-score?

3. What decision should you make regarding the null hypothesis? Write an APA report of the results.

4. Explain Type I and Type II errors. What it would mean to make each of these errors in terms of the study.

5. Calculate the Cohen's d and the power based on the information given above.