8. The heights of male adults are normally distributed with mean 1.7 m and standard deviation 0.2 m. In a population of 400 male adults, how many would you expect to have a height between 1.4 m and 1.6 m? Jse the following Standard Normal Distribution curve: 19.1% 19.1% 15.0% 15.0% 9.2% 9.2% 0.1% 0.5% 0.5% 0.1% 4.4% 4.4% 1.7% 1.7% -3 -2.5 -2 -1.5 -1 -0.5 ó 0.5 1 1.5 2 2.5 3.

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
icon
Concept explainers
Question
100%
**Question 8:**

The heights of male adults are normally distributed with a mean of 1.7 m and a standard deviation of 0.2 m. In a population of 400 male adults, how many would you expect to have a height between 1.4 m and 1.6 m?

Use the following Standard Normal Distribution curve:

**Graph Explanation:**

The graph is a standard normal distribution curve, which is symmetrically shaped like a bell. It has a mean of 0 and is divided into sections that represent the percentage of data within each standard deviation from the mean. 

- The x-axis represents the number of standard deviations from the mean, ranging from -3 to 3.
- The y-axis represents the probability density.

From left to right, the sections of the curve indicate the following percentages of the population:

- From -3 to -2.5: 0.1%
- From -2.5 to -2: 0.5%
- From -2 to -1.5: 1.7%
- From -1.5 to -1: 4.4%
- From -1 to -0.5: 9.2%
- From -0.5 to 0: 15.0%
- From 0 to 0.5: 19.1%
- From 0.5 to 1: 19.1%
- From 1 to 1.5: 15.0%
- From 1.5 to 2: 9.2%
- From 2 to 2.5: 4.4%
- From 2.5 to 3: 1.7%
- Beyond 3: 0.1%

These percentages represent the proportion of the population expected to fall within each range of standard deviations.
Transcribed Image Text:**Question 8:** The heights of male adults are normally distributed with a mean of 1.7 m and a standard deviation of 0.2 m. In a population of 400 male adults, how many would you expect to have a height between 1.4 m and 1.6 m? Use the following Standard Normal Distribution curve: **Graph Explanation:** The graph is a standard normal distribution curve, which is symmetrically shaped like a bell. It has a mean of 0 and is divided into sections that represent the percentage of data within each standard deviation from the mean. - The x-axis represents the number of standard deviations from the mean, ranging from -3 to 3. - The y-axis represents the probability density. From left to right, the sections of the curve indicate the following percentages of the population: - From -3 to -2.5: 0.1% - From -2.5 to -2: 0.5% - From -2 to -1.5: 1.7% - From -1.5 to -1: 4.4% - From -1 to -0.5: 9.2% - From -0.5 to 0: 15.0% - From 0 to 0.5: 19.1% - From 0.5 to 1: 19.1% - From 1 to 1.5: 15.0% - From 1.5 to 2: 9.2% - From 2 to 2.5: 4.4% - From 2.5 to 3: 1.7% - Beyond 3: 0.1% These percentages represent the proportion of the population expected to fall within each range of standard deviations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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