Question
SAT scores: Assume that in a given year the mean mathematics SAT score was572, and the standard deviation was127.A sample of 72 scores is chosen.
SAT scores:Assume that in a given year the mean mathematics SAT score was572, and the standard deviation was127.A sample of 72scores is chosen.
(a) What is the probability that the sample mean score is less than567? Round the answer to at least four decimal places.
(b) What is the probability that the sample mean score is between537and580? Round the answer to at least four decimal places.
(c) Find the60thpercentile of the sample mean. Round the answer to at least two decimal places.
(d) Would it be unusual if the sample mean were greater than580? Round the answer to at least four decimal places.
(e) Do you think it would be unusual for an individual to get a score greater than580? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.
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Probability, Random Variables, And Random Processes
Authors: Hwei P Hsu
3rd Edition
0071824774, 9780071824774
