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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,
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 are conducted annually on samples of students from grades 4, 8, and 12. Suppose in 2001, the geography scores for male students had a mean of 264 with a standard deviation of 34. Assume that these scores are normally distributed with the given mean and standard deviation. The normal curve representing this distribution of the scores is bell-shaped, with a single peak over (196, 332, 264, or 34). The value 162 is ( 3 standard deviations, 2 standard deviation, 1 standard deviation or 4 standard deviation) below the mean, and the value 366 is (3 standard deviations, 2 standard deviation, 1 standard deviation or 4 standard deviation) above the mean. The area under the curve between 162 and 366 is approximately (95.44 %, 68.26 %, 50.00 % or 99.72 %). Similarly, 95.44% of the male students scored between (162, 230, 264, or 196) and ( 162, 332, 298, or 366)
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