Based on what you observed from examining the data graphically, does it appear that the assumptions required to conduct t-tests are met? Do macroeconomics students at Vanderbilt score significantly higher on the Math SAT than the national average (which in the mid-1980s was around 470)? Do macroeconomics students at Vanderbilt score significantly higher on the Verbal SAT than the national average (which in the mid-1980s was around 425)? Report a 95 percent confidence interval for the true mean Math SAT score. Do 95 percent of students have Math SAT scores that fall within this interval? Explain your answer. Is there a statistically significant difference between the Verbal and Math scores of macroeconomics students at Vanderbilt? Is there a statistically significant difference between the performances of males and females on the Verbal SAT? Construct a 95 percent confidence interval for the difference. Does it include zero? Relate this to the conclusion of your test. Is there a statistically significant difference between the performances of males and females on the Math SAT? Construct a 95 percent confidence interval for the difference. Does it include zero? Relate this to the conclusion of your test. Is there a statistically significant difference between the freshman GPAs of males and females? Construct a 95 percent confidence interval for the difference. Does it include zero? Relate this to the conclusion of your test.