6.65 Suppose that a student's verbal score X from next year's Graduate Record Exam can be...
Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal distribution with mean score 151 and standard deviation 7 points, while the quantitative portion of the exam has scores following the normal distribution with mean 153 and standard deviation 7.67. Use this information to answer the following: (Please round to two decimal places) a) Find the score of a student who scored in the 80th percentile on the Quantitative Reasoning section of the exam....
Scores on the verbal Graduate Record Exam (GRE) have a mean of 453 and a standard deviation of 122. Scores on the quantitative GRE have a mean of 651 and a standard deviation of 157. A perfect score on either exam is 800. Assuming the scores are normally distributed, what percentage of students score 800 on the quantitative exam? The percentage of students that score 800 on the quantitative exam is approximately _% (Round to the nearest percent as needed.)...
(13 points) Scores on the GRE. A college senior who took the Graduate Record Examination exam scored 620 on the Verbal Reasoning section and 750 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section was 467 with a standard deviation of 109, and the mean score for the Quantitative Reasoning was 441 with a standard deviation of 155. Suppose that both distributions are nearly normal. Round calculated answers to 4 decimal places unless directed otherwise. 1. Write...
1. Suppose the proportion of the population in favor of a new law is 0.60. (a) Suppose you take a sample of size n = 500. What is the probability that your sample proportion is 0.55 or lower? (b) Suppose that you take a sample of size n = 400 and find the sample proportion ˆp = 0.70. How many standard deviations is ˆp from the mean of the distribution of all sample proportions? 2. A college senior who took...
A qualifying exam for a postgraduate course has a maths section and a verbal section. Students reeive a score of 1, 2, or 3 on each section. Define X as a student's score on the maths section and Y as a student's score on the verbal section. Test scores vary according to the following bivariate probability distribution. 1 0.33 0.15 0.16 x 2 0.04 0.06 0.10 3 0.05 0.10 0.01 x-1.52 and 1.85 0x = 0.7547 ,and Oy 0.8170 The...
Example 3 The scores on a midterm exam follow a normal distribution with an average of 80.4% and a standard deviation of 10.9%. Let X represent the score of a given student on this midterm exam. 1. What is the probability that a randomly selected student scores above a 90%? 2. What is the probability that a randomly selected student scores between 80% and 90%? 3. What is the 60th percentile score for this midterm exam?
6. (12 pts, 2 pts each) 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) Indicate the percentage or score called for by the problem. (b) Select the appropriate distribution curve (from below) that relates to the problem 1410 00 Curve C 100 60 1000 Curve 140 0 Curves Page 3...
Suppose that scores on a statistics exam are normally distributed with a mean of 77 and a standard deviation of 4. Find the probability of a student scoring less than 80 on the exam using the following steps. (a) What region of the normal distribution are you looking to find the area of? (to the left of a zscore, to the right of a z-score, between two z-scores, or to the left of one z-score and to the right of...
The national average SAT score (for verbal and math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. Round the final answer to four decimal places and intermediate z-value calculations to two decimal places Source: New York Times Almanac. Part 1 out of 2 If a random sample of 245 scores was selected, find the probability that the sample mean is greater than 1041. Assume that the sample is...
1. Suppose the scores for high school seniors on the verbal portion of the SAT test have a population mean of 509 and a population standard deviation of 112. a. List the population and the variable. b. What do you know about the population distribution of SAT scores for high school seniors? (i.e. shape, center, spread) c. Suppose we randomly select 56 high school seniors from this population. What would you expect the shape, mean and standard deviation of the...