The National Assessment of Education Progress (NAEP) conducts a natio wide Asses
ID: 3356225 • Letter: T
Question
The National Assessment of Education Progress (NAEP) conducts a natio wide Assessment of students proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics,economics, geography, and U.S. history.The main NAEP assements are conducted annually on samples of students from 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 are properties of the normally curve representing the distribution of the scores? Click all that apply.The curve is curve is symmetrical about a vertical line through 325.One half of the total area under the curve is below 259.The curve is bell shaped, with a single peak over 259.A quarter of the total area under the curve is above 259.The two ends of the curve approach the horizontal axis but never touch it. One tenth of the total area under the curve is below 259.The value 160 is ....below the mean, and the value 358 is.....above the mean.Therefore, ....of the male students have scores between 160 and 358.
Explanation / Answer
Solution:-
= 259, = 33
The following are properties of the normally curve representing the distribution of the scores:-
1) One half of the total area under the curve is below 259.
2) The curve is bell shaped, with a single peak over 259.
3) The two ends of the curve approach the horizontal axis but never touch it
The value 160 is 3 standard deviation below the mean, and the value 358 is 3 standard deviation above the mean.Therefore, 99.73% of the male students have scores between 160 and 358.
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