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Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end. 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.

Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end. 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end. 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. Find the median and the mode, and compare it with the given mean value. b. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the u ± 10, p ± 20, p± 30. c. 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. d. 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 40 and 45?
Transcribed Image Text:Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. Explicitly write your solution and state & highlight your final answer at the end. 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. Find the median and the mode, and compare it with the given mean value. b. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the u ± 10, p ± 20, p± 30. c. 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. d. 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 40 and 45?
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