FC Question 1 Properties of the normal curve and the empirical rule The National
ID: 3218356 • Letter: F
Question
FC Question 1
Properties of the normal curve and the empirical rule 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 2003, the mathematics scores for male students had a mean of 278 with a standard deviation of 37. 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 two ends of the curve approach the horizontal axis but never touch it. The curve is bell-shaped with a single peak over 204. The curve is bell-shaped, with a single peak over 278. The curve is symmetrical about a vertical line through 352. The curve is symmetrical about a vertical line through 278. The normal curve representing the distribution of the scores has inflection points above and The value 167 is below the mean, and the value 389 is above the mean. Therefore, the percentage of male students with scores between 167 and 389 is approximately. The value 315 is above the mean. Therefore, the percentage of male students with scores below 315 is approximately. You can infer that approximately 97.5% of the male students have scores above .Explanation / Answer
correct option are
the two ends of curve approach the horiz.....
.... single peak over 278
symmetric about ...through 278
inflection points are 278-37 =241 and 278+37=315
value 167 is 3 std deviation below.............389 is 3 std deviation above.........
approximately 99.73%
value 315 is 1 std deivation above the mean......is approximately 84.13
97.5 % of student...........above 278-2*37=204
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