Chapter 9 Review Homework: AR Due to the COVID-19 pandemic, many colleges are offering different types of courses: Face to Face, Hybrid, Synchronous Online, and Asynchronous Online. Researchers were...

Please show all work

Extracted text: Chapter 9 Review Homework: AR Due to the COVID-19 pandemic, many colleges are offering different types of courses: Face to Face, Hybrid, Synchronous Online, and Asynchronous Online. Researchers were interested in determining if there is a difference in the overall course average for a Freshmen level College Algebra course for these different types of courses. It is believed that a student's overall success in previous courses could be a determining factor in how well they perform in the different types of courses, thus the students were blocked based on GPA. The data is listed below. GPA Course 3.50 e Above 3.49 - 3.00 2.99 - 2.50 2.49 - 2.00 1.99 e Below Face to Face 79.1 93 85.8 85.5 86 83.7 76.7 88.8 86.6 91.8 Hybrid Synchronous 85.2 Online 76.5 76.1 78.9 82.9 82.7 76.1 82.8 79.5 76.1 80.4 74 71.9 83 79.5 73.3 78.9 80.6 82.4 79.3 Asynchronous 73.5 Online 69.3 81.5 74.5 84.1 89.9 82.4 70.4 79.9 79.5 a. At the 5% significance level is there a difference in the overall average grade for the different types of courses? b. At the 5% significance level, does a student's GPA affect the outcome? 2. To determine if there is a difference in the average score per game in basketball for Division 1, Division 2, and Division 3 schools a random sample of ten basketball games per division was obtained. The table below gives the scores for the ten games per division. At the 10% significance, is there a difference in the average score for the three different divisions. DI scores 57 58 62 64 59 63 56 63 58 63 D2 scores 55 57 51 56 49 56 61 55 50 54 D3 scores 50 58 51 55 49 50 55 51 52 47 Section 2: Basic Properties and Definitions: Testing More Than Two Population Means: ANOVA 253