EDPSY 490A, Winter 2022 Homework 7 Chapter 7 (Part II) (25 points) Due March l\"4:30pm Name: Homework Question 2 Imagine that you are planning a study on the effects of two instructional approaches, project vs. studio, on student learning in the intro chemistry class. Each group after the random assignment will receive their assigned intervention for ten weeks. At the end of the intervention, you plan to measure each group's achievement with a chemistry misconception test that has a population mean of 80 and a population variance of 160. You believe, based on prior literature, that the scores of the project intervention will be 9 points higher than scores of the studio intervention. Your initial plan is to use n=40 students in each of your intervention groups. a) You assume that the alternative is that there is a true difference between groups of 9 points, sketch a picture of what these two distributions look like (the null and the alternative) using (1:.05 (Z-taiied). Use the steps discussed in class: (i) draw the null distribution, (ii) label the upper limit and lower limit for your critical regions, (iii) draw the alternative distribution, and (iv) shade the area in the alternative distribution you consider as power. 1)) Examine your sketch in part #a. iv. What is your approximate power (this is the shaded area)? v. What is your approximate Type II error rate? vi. What is your Type I error rate? e) Imagine you changed your initial sample size to an increased sample size n=80 students for each group. Re-sketch the null and alternative to reect the new sample size. d) Examine your sketch in part #c. iv. What is your approximate power now (this is the shaded area)? v. What is your approximate Type II error rate now? vi. What is your Type I error rate now