Heights of men on a baseball team have a bell-shaped distribution with a mean of 171 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 166 cm and 176 cm b. 156 cm and 186 cm a. % of the men are between 166 cm and 176 cm. (Round to one decimal place as needed.) b. % of the men are between 156 cm and 186 cm. (Round to one decimal place 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%
Heights of men on a baseball team have a bell-shaped distribution with a mean of 171 cm and a standard deviation of 5 cm. Using the empirical rule, what is the
approximate percentage of the men between the following values?
a. 166 cm and 176 cm
b. 156 cm and 186 cm
a.
|% of the men are between 166 cm and 176 cm.
(Round to one decimal place as needed.)
b. % of the men are between 156 cm and 186 cm.
(Round to one decimal place as needed.)
Transcribed Image Text:Heights of men on a baseball team have a bell-shaped distribution with a mean of 171 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 166 cm and 176 cm b. 156 cm and 186 cm a. |% of the men are between 166 cm and 176 cm. (Round to one decimal place as needed.) b. % of the men are between 156 cm and 186 cm. (Round to one decimal place as needed.)
Expert Solution
Step 1-Writing given data

Given that 

Heights of men on basket ball have bell shaped distribution.

Mean (μ) = 171 cm

Standard deviation (σ) = 5 cm

 

We know that 

Empirical rule : 

68% data lies between one standard deviation away from the mean.

95% data lies between two standard deviation away from the mean.

99.7% data lies between three standard deviation away from the mean.

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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