n= 50 Mean, u = 4 = 1570/50 = 31.4 ΣΧ Standard deviation, o= = 20.41 Using empirical rule, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean. => 68% of data falls between + o = 31.4 + 20.41 = (10.99, 51.81) => 95% of the data falls between e + 2 * o = 31.4 + 2*20.41 = (-9.42, 72.22} => 99.7% of the data falls between e + 3 * o = 31.4 + 3*20.41 = (-29.83, 92.63) JESTIONS: 1. How does answers in 68%, 95%, and 99.7% of data compare, respectively? 2. How does it support the conclusion you reached in question 1? Explain thoroughly.

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
n= 50
Mean, =
ΣΧ
= 1570/50 = 31.4
Standard deviation, o =
= 20.41
Using empirical rule, 68% of the data falls within one standard deviation, 95% within two standard deviations,
and 99.7% within three standard deviations from the mean.
=> 68% of data falls between e + o = 31.4 + 20.41 = (10.99, 51.81)
=> 95% of the data falls between e ± 2 * o = 31.4 + 2*20.41 = (-9.42, 72.22)
=> 99.7% of the data falls between + 3 * o = 31.4 +3*20.41 = (-29.83, 92.63)
QUESTIONS:
1. How does answers in 68%, 95%, and 99.7% of data compare, respectively?
2. How does it support the conclusion you reached in question 1? Explain thoroughly.
Transcribed Image Text:n= 50 Mean, = ΣΧ = 1570/50 = 31.4 Standard deviation, o = = 20.41 Using empirical rule, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean. => 68% of data falls between e + o = 31.4 + 20.41 = (10.99, 51.81) => 95% of the data falls between e ± 2 * o = 31.4 + 2*20.41 = (-9.42, 72.22) => 99.7% of the data falls between + 3 * o = 31.4 +3*20.41 = (-29.83, 92.63) QUESTIONS: 1. How does answers in 68%, 95%, and 99.7% of data compare, respectively? 2. How does it support the conclusion you reached in question 1? Explain thoroughly.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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