Total SAT scores of high school seniors in a past year had population mean = 1026 and
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Question:
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.)
Related Book For
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
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