The distribution of sample means x̅_m − x̅_f, where x̅_m represents the mean Critical Reading score for a sample of 50 males and x̅_f represents the mean Critical Reading score for a sample of 50 females, is centered at 5 with a standard deviation of 22.5. Give notation and define the quantity we are estimating with these sample differences. In the population of all students taking the test, who scored higher on average, males or females?

involve scores from the high school graduating class of 2010 on theSAT(Scholastic Aptitude Test).