Homework Help is Here – Start Your Trial Now!
Math
Statistics
In a reading test for eight-year-old children, it is found that a reading score X is normally distributed with mean 5.0 and standard deviation 2.0. (i) What proportion of children would you expect to score between 4.5 and 6.0? (ii) There are about 700 000 eight-year-olds in the country. How many would you expect to have a reading score of more than twice the mean? (iii) Why might educationalists refer to the reading score X as a 'score out of 10?

In a reading test for eight-year-old children, it is found that a reading score X is normally distributed with mean 5.0 and standard deviation 2.0. (i) What proportion of children would you expect to score between 4.5 and 6.0? (ii) There are about 700 000 eight-year-olds in the country. How many would you expect to have a reading score of more than twice the mean? (iii) Why might educationalists refer to the reading score X as a 'score out of 10?

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
In a reading test for eight-year-old children, it is found that a reading score X is normally distributed with mean 5.0 and standard deviation 2.0. (i) What proportion of children would you expect to score between 4.5 and 6.0? (ii) There are about 700 000 eight-year-olds in the country. How many would you expect to have a reading score of more than twice the mean? (iii) Why might educationalists refer to the reading score X as a ´score out of 10? The reading score is often reported, after scaling, as a value Y which is normally distributed, with mean 100 and standard deviation 15. Values of Y are usually given to the nearest integer. (iv) Find the probability that a randomly chosen eight-year-old gets a score, after scaling, of 103. (v) What range of Y scores would you expect to be attained by the best 20% of readers?
Transcribed Image Text:In a reading test for eight-year-old children, it is found that a reading score X is normally distributed with mean 5.0 and standard deviation 2.0. (i) What proportion of children would you expect to score between 4.5 and 6.0? (ii) There are about 700 000 eight-year-olds in the country. How many would you expect to have a reading score of more than twice the mean? (iii) Why might educationalists refer to the reading score X as a ´score out of 10? The reading score is often reported, after scaling, as a value Y which is normally distributed, with mean 100 and standard deviation 15. Values of Y are usually given to the nearest integer. (iv) Find the probability that a randomly chosen eight-year-old gets a score, after scaling, of 103. (v) What range of Y scores would you expect to be attained by the best 20% of readers?
Expert Solution
steps

Step by step

Solved in 3 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