Total SAT scores of high school seniors in a past

Total SAT scores of high school seniors in a past year had population mean = 1026 and standard deviation sigma = 209. The distribution of SAT scores is roughly normal.

a) Julie scored 1110. If scores have a Normal distribution, what percentile of the distribution is this?

b) Now consider the sample mean x-bar of 80 randomly chosen students. If x-bar = 1110, what Z-score is this? What percentile of the sampling distribution of x-bar is this?

c) Which of your calculations, (a) or (b), is less accurate because SAT scores do not have an exactly Normal distribution? (Explain/show how you obtain your answer.) (6 pts.)