34.13% 34.13% 13.59% 13.59% 2.15% 2.15% 0.13% 0.13% Use the figure to help you a

Question

34.13% 34.13% 13.59% 13.59% 2.15% 2.15% 0.13% 0.13% 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 subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The 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 tha these scores are normally distributed with the given mean and standard deviation. A score of 230 is four standard deviations below the mean, while a score of 298 is above the mean. This means that the percentage of male students with scores two standard deviations between 230 and 298 is above the mean. As a result, the percentage of male students with A score of 332 is scores below 332 is You can infer that 99.87% of the male students have scores above

Explanation / Answer

here as z score=(X-mean)/std deviation =(X-264)/34

a score of 230 is 1 std deviation below the mean ; while a score of 298 is 1 std deviation above the mean

this means that the % of male students with scores between 230 and 298 is 68.26

a score of 332 is 2 standard deviaiton above the mean. As a result the % of male students with scores below 332 is 97.85

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