You have just received your score in a mathematics aptitude test. Given your score was 82 and the mean score on the test was 73 with a standard deviation of 5. Assume that the test scores are normally distributed. a. Verify that the empirical rule holds that is, approximately, 68%, 95%, and 99% of the data lie within ± 10, ± 20, ± 30 units of the mean, respectively. b. How does your score compare with the distribution of all test scores? c.What is the probability that for the scores that would fall between 60 and 65?

You have just received your score in a mathematics aptitude test. Given your score was 82 and the mean score on the test was 73 with a standard deviation of 5. Assume that the test scores are normally distributed. a. Verify that the empirical rule holds that is, approximately, 68%, 95%, and 99% of the data lie within ± 10, ± 20, ± 30 units of the mean, respectively. b. How does your score compare with the distribution of all test scores? c.What is the probability that for the scores that would fall between 60 and 65?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

a. Verify that the empirical rule holds that is, approximately, 68%, 95%, and 99% of the data lie within ± 10, ± 20, ± 30 units of the mean, respectively.

b. How does your score compare with the distribution of all test scores?

c.What is the probability that for the scores that would fall between 60 and 65?

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