The distribution of sample means x̅_N − x̅_E, where x̅N represents the mean Mathematics score for a sample of 100 people for whom the native language is not English and x̅_E represents the mean Mathematics score for a sample of 100 people whose native language is English, is centered at 10 with a standard deviation of 17.41. 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, non-native English speakers or native English speakers?

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