The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one,two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under thecurve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than themean (u) plus three standard deviations ( +30). Also, because the normal distribution is symmetrical, 0.13% of the area under thestandard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30).34.13%34.13%13.59%13.59%2.15%2.15%0.13%+300.13%-30-20-10+1020Use the figure to help you answer the following questions:The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects:mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments areconducted annually on samples of students from grades 4, 8, and 12.In 2000, the science scores for female students had a mean of 146 with a standard deviation of 35. Assume that these scores arenormally distributed with the given mean and standard deviation.A score of 41 isstandard deviations below the mean, while a score of 251 isstandarddeviations above the mean. This means that the percentage of female students with scores between 41 and 251 isA score of 181 isabove the mean. As a result, the percentage of female students withScores below 181 isYou can infer that 97.72% of the female students have scores above

According to the empirical rule, approximately 99.7% of the observations fall within 3 standard…

The following figure shows the normal distribution with the proportion of the area under the normal curve contained w two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area un curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than mean (u) plus three standard deviations ( +30). Also, because the normal distribution is symmetrical, 0.13% of the area u standard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30 34.13% 34.13% 13.59% 13.59% 2.15% 2.15% 0.13% 0.13%

The following figure shows the normal distribution with the proportion of the area under the normal curve contained w two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area un curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than mean (u) plus three standard deviations ( +30). Also, because the normal distribution is symmetrical, 0.13% of the area u standard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30 34.13% 34.13% 13.59% 13.59% 2.15% 2.15% 0.13% 0.13%

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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The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
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