13.59% 13.59% 2.15% 2.15% 0.13% 0.13% -30 -20 -10 +10 +20 +30 μ 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 nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and US 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. A score of 204 is two standard deviations below the mean, while a score of 352 is two standard deviations means that the percentage of male students with scores between 204 and 352 is 95.44% above the mean. This A score of 389 is three standard deviations 99.74% above the mean. As a result, the percentage of male students with scores below 389 is You can infer that 84.13% of the male students have scores above 167 1. Area under the normal distribution The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (µ) plus three standard deviations (+30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (μ) minus three standard deviations (-30). 34.13% 34.13% 13.59% 2.15% 0.13% -30 -20 -10 0 H +10 13.59% 2.15% 0.13% +20 +30 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 nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and US history. The main NAEP assessments are conducted annually on samples of students

Ciccarelli: Psychology_5 (5th Edition)
5th Edition
ISBN:9780134477961
Author:Saundra K. Ciccarelli, J. Noland White
Publisher:Saundra K. Ciccarelli, J. Noland White
Chapter1: The Science Of Psychology
Section: Chapter Questions
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PLs help me solve the following question, explain and pls pls make sure its correct 10000%%% thank you !!

13.59%
13.59%
2.15%
2.15%
0.13%
0.13%
-30
-20
-10
+10
+20
+30
μ
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 nine subjects: mathematics, reading,
writing, science, the arts, civics, economics, geography, and US 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.
A score of 204 is two standard deviations below the mean, while a score of 352 is two standard deviations
means that the percentage of male students with scores between 204 and 352 is 95.44%
above the mean. This
A score of 389 is three standard deviations
99.74%
above the mean. As a result, the percentage of male students with scores below 389 is
You can infer that 84.13% of the male students have scores above 167
Transcribed Image Text:13.59% 13.59% 2.15% 2.15% 0.13% 0.13% -30 -20 -10 +10 +20 +30 μ 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 nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and US 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. A score of 204 is two standard deviations below the mean, while a score of 352 is two standard deviations means that the percentage of male students with scores between 204 and 352 is 95.44% above the mean. This A score of 389 is three standard deviations 99.74% above the mean. As a result, the percentage of male students with scores below 389 is You can infer that 84.13% of the male students have scores above 167
1. Area under the normal distribution
The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three
standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area
under the standard normal distribution is located above z-score values greater than the mean (µ) plus three standard deviations (+30). Also, because
the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean
(μ) minus three standard deviations (-30).
34.13%
34.13%
13.59%
2.15%
0.13%
-30
-20
-10
0
H
+10
13.59%
2.15%
0.13%
+20
+30
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 nine subjects: mathematics, reading,
writing, science, the arts, civics, economics, geography, and US history. The main NAEP assessments are conducted annually on samples of students
Transcribed Image Text:1. Area under the normal distribution The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (µ) plus three standard deviations (+30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (μ) minus three standard deviations (-30). 34.13% 34.13% 13.59% 2.15% 0.13% -30 -20 -10 0 H +10 13.59% 2.15% 0.13% +20 +30 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 nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and US history. The main NAEP assessments are conducted annually on samples of students
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