1. Dr. Magliggzi wants to know if Chicago workers commute different distances to work than the average US. citizen. According to a recent government survey, the daily commuting distance of US. workers averages 13 miles with a population standard deviation p_f 13 miles. Commuting distances are obtained for a sample of 120 workers from the Chicago area, and the mean distance is found to be 10.5 miles. Go through the 4 steps of a hypothesis test, using the information above, to determine whether Dr. Magligzzi can say that the average commute for Chicagoans is different than the national average. a. Assuming a two-tailed test, write the null and alternative hypotheses using symbols. b. What is the z-critical (cutoff) value? 6. Calculate the standard error and z-score. d. What decision should you make regarding the null hypothesis? Write an APA report of the results. 2. Explain Type | 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. 3. Calculate the Cohen's d (and indicate its size) and the power based on the information given in Question 1