Statistic in Social Science
posted by Rhea .
The verbal part of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation of 100. Use the normal distribution to answer the following questions:
a. If you wanted to select only student at or above the 90th percentile, what verbal GRE score would you use as a cutoff score?
b. What verbal GRE score corresponds to a percentile rank of 15%? What verbal GRE score corresponds to a percentile rank of 55%?
c. What's the percentile rank of a GRE score of 628? What's the percentile rank of a GRE score of 350?
d. If you randomly selected 1,500 students who had taken the verbal GRE, how many would you expect to score lower than 250? How many would you expect to score higher than 750?

Z = (scoremean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability(.90, .15, etc.) and related Z score. Insert into above equation and solve for score.
For last two (c & d) solve for Z and use the same table. 
4. The verbal part of the Graduate Record Exam (GRE) has a ƒÝ of 500 and ƒã = 100. Use the normal distribution to answer the following questions:
a. If you wanted to select only students at or above the 90th percentile, what verbal GRE score would you use as a cutoff score?
b. What verbal GRE score corresponds to a percentile rank of 15%? What verbal GRE score corresponds to a percentile rank of 55%?
c. What¡¦s the percentile rank of a GRE score of 628? What¡¦s the percentile rank of a GRE score of 350?
d. If you randomly selected 1,500 students who had taken the verbal GRE, how many would you expect to score lower than 250? How many would you expect to score higher than 750?
Respond to this Question
Similar Questions

Math (Statistic)
Considered the sampling distribution of a sample mean obtained by random sampling from an infinite population. This population has a distribution that is highly skewed toward the larger values. a) How is the mean of the sampling distribution … 
MATH
Which of the following normal distributions has the smallest spread? 
math
Statistics: Analyze student exam scores Students were given an exam with 300 multiple choice questions. The distribution of the scores were normal and the mean was 195 with a standard deviation of 30. you may find it helpful to draw … 
statistic of behavioral science
for each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer. A score of x=56, on an exam with the mean =50 and the standard deviation of 4; or a score of x=60 on an exam … 
statistic
The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: 
statistics
The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. What percentage score above 1300? 
Foundations of Measurement
Approximately 400,000 students took the GRE in 2009. Observed mean for the Verbal score was 540 with a standard deviation of 80, and the observed mean quantitative score was 500 with a standard deviation of 100. Assuming distribution … 
statistics
The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. Which portion of the bell curve relates to … 
Statistics
4. The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: (a) … 
Statistics
4. The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: (a) …