The total SAT scores of high school seniors in current years have mean= 1030 and standard deviation= 213. The distribution of SAT scores is roughly Normal. Provide your answers as whole numbers.
(a) Ramon scored 1124. If scores have the Normal distribution, what percentile of distribution is this? (That is, what percent of scores are lower than Ramon's?) %
(b) Now suggest the mean of the scores of 50 randomly selected students. If = 1124, what percentile of the sampling distribution of is this? %
Which of your calculations, (a) or (b), is less accurate because SAT scores do not have an exactly Normal distribution?