A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Complete parts (a) through (c). 99.7% of data are within 3 standard deviations of the mean (u- 3ơ to p + 30) 95% within 2 standard deviations 68% within 1 standard deviation 34% 34% 0.15% 2.35% 2.35% 0.15% 13.5% 13.5% u- 30 - 20 u+ 20 u+ 30 (a) What percentage of standardized test scores is between 173 and 887? % (Round to the nearest tenth as needed.) (b) What percentage of standardized test scores is less than 173 or greater than 887? % (Round to the nearest tenth as needed.) (c) What percentage of standardized test scores is greater than 768? % (Round to the nearest tenth as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Complete parts (a) through (c).
99.7% of data are within
3 standard deviations of
the mean (u - 3ơ to µ + 3ơ)
95% within
2 standard deviations
-68% within
1 standard
deviation
34%
34%
0.15%
2.35%
2.35%
0.15%
13.5%
13.5%
3ơ
L- 20
u+ 20
u+ 30
(a) What percentage of standardized test scores is between 173 and 887?
% (Round to the nearest tenth as needed.)
(b) What percentage of standardized test scores is less than 173 or greater than 887?
% (Round to the nearest tenth as needed.)
(c) What percentage of standardized test scores is greater than 768?
% (Round to the nearest tenth as needed.)
Transcribed Image Text:A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Complete parts (a) through (c). 99.7% of data are within 3 standard deviations of the mean (u - 3ơ to µ + 3ơ) 95% within 2 standard deviations -68% within 1 standard deviation 34% 34% 0.15% 2.35% 2.35% 0.15% 13.5% 13.5% 3ơ L- 20 u+ 20 u+ 30 (a) What percentage of standardized test scores is between 173 and 887? % (Round to the nearest tenth as needed.) (b) What percentage of standardized test scores is less than 173 or greater than 887? % (Round to the nearest tenth as needed.) (c) What percentage of standardized test scores is greater than 768? % (Round to the nearest tenth as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
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