A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 51.0, with a standard deviation of 10.6 . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (a) According to Chebyshev's theorem, at least _%? (36%56%75%84%89%) of the scores lie between 29.8 and 72.2 . (b) According to Chebyshev's theorem, at least 56% of the scores lie between _? and _? . (Round your answer to 1 decimal place.)
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 51.0, with a standard deviation of 10.6 . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (a) According to Chebyshev's theorem, at least _%? (36%56%75%84%89%) of the scores lie between 29.8 and 72.2 . (b) According to Chebyshev's theorem, at least 56% of the scores lie between _? and _? . (Round your answer to 1 decimal place.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of
. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.
20 to 80. In a recent year, the national mean score for the writing section was
51.0, with a standard deviation of 10.6
|
(a) According to Chebyshev's theorem, at least _%? (36%56%75%84%89%) of the scores lie between
29.8
72.2
(b) According to Chebyshev's theorem, at least
56%
|
Expert Solution
Step 1
Given Data:
Let X represent the random variable
Mean =51
Standard deviation (s)=10.6
X~ Normal (51, )
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman