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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 the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations (+30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30). 0.13% 2.15% -30 -20 34.13% 13.59% -10 0 H A score of 292 is is 34.13% +10 13.59% Use the figure to help you answer the following questions. +20 2.15% +30 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 US history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. 0.13% In 1994, the US history scores for male students had a mean of 259 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation. A score of 160 is ▾ below the mean, while a score of 358 is means that the percentage of male students with scores between 160 and 358 is You can infer that 97.72% of the male students have scores above above the mean. This above the mean. As a result, the percentage of male students with scores below 292

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 the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations (+30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30). 0.13% 2.15% -30 -20 34.13% 13.59% -10 0 H A score of 292 is is 34.13% +10 13.59% Use the figure to help you answer the following questions. +20 2.15% +30 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 US history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. 0.13% In 1994, the US history scores for male students had a mean of 259 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation. A score of 160 is ▾ below the mean, while a score of 358 is means that the percentage of male students with scores between 160 and 358 is You can infer that 97.72% of the male students have scores above above the mean. This above the mean. As a result, the percentage of male students with scores below 292

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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6. Area under the normal distribution 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 the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations (+30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30). 0.13% 2.15% -30 34.13% 13.59% -20 -10 A score of 292 is is 0 H 34.13% +10 13.59% Use the figure to help you answer the following questions. +20 2.15% +30 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 US history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. 0.13% In 1994, the US history scores for male students had a mean of 259 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation. A score of 160 is ▾ below the mean, while a score of 358 is means that the percentage of male students with scores between 160 and 358 is You can infer that 97.72% of the male students have scores above above the mean. This above the mean. As a result, the percentage of male students with scores below 292
Transcribed Image Text:6. Area under the normal distribution 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 the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations (+30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30). 0.13% 2.15% -30 34.13% 13.59% -20 -10 A score of 292 is is 0 H 34.13% +10 13.59% Use the figure to help you answer the following questions. +20 2.15% +30 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 US history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. 0.13% In 1994, the US history scores for male students had a mean of 259 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation. A score of 160 is ▾ below the mean, while a score of 358 is means that the percentage of male students with scores between 160 and 358 is You can infer that 97.72% of the male students have scores above above the mean. This above the mean. As a result, the percentage of male students with scores below 292
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