Statistics Investigative Task 4 SAT Performance In this Task you will investigate four questions about students' SAT scores at one high school. 1. What is the mean SAT-Math score at this high school? 2. How do these students' SAT Math scores stack up against the rest of the state? 3. Is there a significant difference between Verbal and Math scores for these students? 4. Nationally males tend to have higher Math scores than females. Is that true at this high school, too? You have a copy of data from the SAT Score Roster sent to the high school by the College Board. It shows gender, Verbal scores, and Math scores, for 303 students in a recent graduating class. NOTE: You will not use all of these data, just a sample of 20 - 30 students. o Draw a sample of these students, carefully explaining your procedure. o Use your sample to create a 95% confidence interval for the mean SAT-I Math score at this high school. o Based on your confidence interval, compare the performance of these students with the statewide mean Math score of 503. o Determine whether your sample provides statistical evidence that Verbal and Math scores differ for students at this high school. o Determine whether your sample provides statistical evidence that males have higher Math scores than females at this school. o Prepare a written report that includes complete demonstrations of the statistical procedures you use and your conclusions (in context, of course)