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29% tory Bookmarks Window Help ?quiz action takeQuiz&quiz;,probGuid-QNAPCOA8010100000031161dc oodo0&ctxeduncan-00138ckem;,1519086889584 AAAG the area under the normal curve contained The following figure shows the normal distribution with the proportion of within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, dep remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater tha distribution is symmetrical, 0.13% of the area under the standard normal distribution less than the mean (u) minus three standard deviations (-30). icts the n the mean (H) plus three standard deviations (+30). Also, because the normal is located below z-score values 34.13% 34.13% 13.59% 13.59% 2.15% 2.15% 0.13% 0.13% -3 -20-10 Use 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 mairn NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. In 1994, the U.S. 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 above the mean. This means that the percentage of male students with scores between 160 and 358 is

Explanation / Answer

A score of 160 is three standard deviation below, while a score of 358 is three standard deviation above the mean. This means that the percentage of male students with scores between 160 and 358 is 99.74%

A score of 292 is one standard deviation above the mean. as a result percentage of students below 292 is 84.13%

You can infer that 97.72% of the male students have scores above 2 standard deviation.

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