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The National Assessment of Educational Progress (NAEP) is a nationwide assessmen

ID: 3218007 • Letter: T

Question

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. 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. Which of the following is a property of the normal curve representing the distribution of the scores? Check all that apply. The curve is bell-shaped, with a single peak over 264. The two ends of the curve approach the horizontal axis but never touch it. The curve is symmetrical about a vertical line through 264. The curve is bell-shaped, with a single peak over 196. The curve is symmetrical about a vertical line through 332. The normal curve representing the distribution of the scores has inflection points above _____and _____. The value 196 is_____ below the mean, and the value 332 is _____ above the mean. Therefore, the percentage of male students with scores between 196 and 332 is approximately _____. The value 366 is_____ above the mean. Therefore, the percentage of male students with scores below 366 is approximately _____. You can infer that approximately 84% of the male students have scores above_____.

Explanation / Answer

top 3 options are correctvalue 196 is 2 standard deviation below and 332 2 standard deviaiton above

therefore %...95.45%

value 366 is 3 std deviaiton above ,, therefore % ..99.87%

84% of the male students has score above 264-34=230

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