Refer to the chance (winter 2001) examination of sat scores of students who pay a private tutor to them improve their results. on the sat-mathematics test, these students had a mean change in score of 19 points, with a standard deviation of 65 points. in a random sample of 100 students who pay a private tutor to them improve their results. (a) what shape would you expect the sampling distribution of the sample mean for the sample of 100 students? any shape not symmetric bell-shape no pattern