EDPSY 490A, Winter 2022 Homework 6 Chapter 6 (Part II) & Chapter 7 (20 pts) Due Feb 22 4:30pm Name: Homework Question 5 Finally, we are interested in testing the effectiveness of yoga in the swimming pool, as compared to the regular yoga studio, on individual's performance scores. We randomly assigned individuals to these two programs. At the end of this year, all individuals were evaluated by external raters for their performance related to their yoga routines. We need to conduct a 2- group test of independence to test whether there is a significant difference on their performance due to the location (Swimming pool or Regular studio). Here are their scores. Swimming Pool: X1 = {14, 11, 8, 6, 9, 4, 10, 5, 11, 9} Regu ar Studio: X2 = {6, 7, 3, 5, 4, 5, 8, 11, 8, 9} a) Identify the independent variable (IV) and dependent variable (DV). IV: DV: b) State the null and alternative hypotheses (in symbols). Null: Alternative: c) To start your calculations for the test statistic, calculate the sample: (i) size, (ii) mean, (iii) sum of squared deviations, (iv) degrees of freedom, and (v) variance. Use subscripts to help you keep your calculations organized (e.g., use X1 for the mean of the Swimming group and )(2 for the mean of the Regular group). GROUP 1 {Swimming GROUP 2 (Regular) EdPsy49O Winter 22 HWG, p. 7 EDPSY 490A, Winter 2022 Homework 6 Chapter 6 (Part II) & Chapter 7 (20 pts) Due Feb 22 4:30pm Name: Homework Question 5, Continued d) Now calculate the estimated pooled variance below. e) Calculate estimated standard error of the difference between means. f) Now calculate your test statistic. g) State your decision about whether the two methods of instruction differed signicantly. Use your obtained tValue compared with the critical tValue in your answer. h) Given your decision, what are the two possibilities that exist? EdPsy490 Winter 22 HWG, p. 8