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

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 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. Which of the following is a property of the normal curve representing the distribution of the scores? Check all that apply The curve is shaped with a single peak over 193 The two ends of the curve approach the horizontal axis but never touch it. The curve is symmetrical about a vertical line through 259 The curve is symmetrical about a vertical line through 325. The curve is shaped with a single peak over 259 The normal curve representing the distribution of the scores has inflection points above and 160 226 193 below the mean, and the value 325 is 259 The value 193 is

Explanation / Answer

The two ends of the curve approach horizontal axis, but never touches it

The curve is symmetrical about a vertical line through 259

The curve is bell shaped with, a single peak ove 259

....inflection points above 226 and 292.

The value 193 is 2 standard deviations below the mean and the value 325 is 2 standard deviations above mean.

Scores between 193 and 325 is approximately 95%.

The value 358 is 3 standard deviations above mean. Percentage of male students with score below 358 is approximately 99.87%.

84% of the male students have scores above 226

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