The total SAT scores of high school seniors in current years have mean=1033 and standard deviation= 218. The distribution of the SAT scores is roughly Normal. Provide your answers as whole numbers.
(a) Ramon scored 1060. If scores have Normal distribution, what percentile of distribution is this? (That is, what percent of scores are lower than Ramon's?)_____ %
(b) Now suggest the mean xbar of the scores of 60 randomly select students. If xbar = 1060, what percentile of the sampling distribution of xbar is this? _____ %
Which of your calculations, (a) or (b), is less accurate because SAT scores do not have an exactly Normal distribution?