Homework Help is Here – Start Your Trial Now!
Math
Statistics
3.3 GRE Scores, Part I. Sophia took the Graduate Record Examination (GRE) and scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. a) Write down the short-hand for these two normal distributions. Verbal Reasoning: N(µ = Quantitative Reasoning: N(µ =| b) What are Sophia's z-scores on both the Verbal Reasoning section and the Quantitative Reasoning section? What do these z-scores tell you? Round your z-scores to 2 decimal places. She scored standard deviations above the mean on the Verbal Reasoning section and standard deviations above the mean on the Quantitative Reasoning section. c) Relative to others, which section did she do better on? d) Find her percentile scores for the two exams. Round to the nearest whole percent. Verbal Reasoning: Quantitative Reasoning: e) What percent of the test takers did better than her on the Verbal Reasoning section? Round to the nearest whole percent. What percent of the test takers did better than her on the Quantitative Reasoning section? Round to the nearest whole percent.

3.3 GRE Scores, Part I. Sophia took the Graduate Record Examination (GRE) and scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. a) Write down the short-hand for these two normal distributions. Verbal Reasoning: N(µ = Quantitative Reasoning: N(µ =| b) What are Sophia's z-scores on both the Verbal Reasoning section and the Quantitative Reasoning section? What do these z-scores tell you? Round your z-scores to 2 decimal places. She scored standard deviations above the mean on the Verbal Reasoning section and standard deviations above the mean on the Quantitative Reasoning section. c) Relative to others, which section did she do better on? d) Find her percentile scores for the two exams. Round to the nearest whole percent. Verbal Reasoning: Quantitative Reasoning: e) What percent of the test takers did better than her on the Verbal Reasoning section? Round to the nearest whole percent. What percent of the test takers did better than her on the Quantitative Reasoning section? Round to the nearest whole percent.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
3.3 GRE Scores, Part I. Sophia took the Graduate Record Examination (GRE) and scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. a) Write down the short-hand for these two normal distributions. Verbal Reasoning: N(µ = Quantitative Reasoning: N(u = b) What are Sophia's z-scores on both the Verbal Reasoning section and the Quantitative Reasoning section? What do these z-scores tell you? Round your z-scores to 2 decimal places. She scored standard deviations above the mean on the Verbal Reasoning section and standard deviations above the mean on the Quantitative Reasoning section. c) Relative to others, which section did she do better on? d) Find her percentile scores for the two exams. Round to the nearest whole percent. Verbal Reasoning: Quantitative Reasoning: e) What percent of the test takers did better than her on the Verbal Reasoning section? Round to the nearest whole percent. What percent of the test takers did better than her on the Quantitative Reasoning section? Round to the nearest whole percent.
Transcribed Image Text:3.3 GRE Scores, Part I. Sophia took the Graduate Record Examination (GRE) and scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. a) Write down the short-hand for these two normal distributions. Verbal Reasoning: N(µ = Quantitative Reasoning: N(u = b) What are Sophia's z-scores on both the Verbal Reasoning section and the Quantitative Reasoning section? What do these z-scores tell you? Round your z-scores to 2 decimal places. She scored standard deviations above the mean on the Verbal Reasoning section and standard deviations above the mean on the Quantitative Reasoning section. c) Relative to others, which section did she do better on? d) Find her percentile scores for the two exams. Round to the nearest whole percent. Verbal Reasoning: Quantitative Reasoning: e) What percent of the test takers did better than her on the Verbal Reasoning section? Round to the nearest whole percent. What percent of the test takers did better than her on the Quantitative Reasoning section? Round to the nearest whole percent.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS