Sarah wants to conduct an experiment to find answers to how much her peers commute. She found that the commuting distance of commuter students average thirteen miles with a population standard deviation of thirteen miles. 120 commuter students and the mean distance is 10.5 miles. Find the following: Assuming it is a two-tailed test, write the null and alternative hypotheses using symbols. What is the z-critical value? Find the standard error and z-score.

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

Explain Type I and Type II errors in general and then explain what it would mean to make each of these errors in terms of the study in Question 1.

Calculate the Cohen’s d (and indicate its size) and the power based on the information given in Question 1.