Homework Help is Here – Start Your Trial Now!
Math
Statistics
According to a study, brain weights of men in country A are normally distributed with mean 1.56 kg and standard deviation 0.12 kg. Apply the Complete parts (a) through (d). a. Complete the sentence "Approximately 68% of the men have brain weights between kg and kg." Approximately 68% of the men have brain weights between 1.44 kg and 1.68 kg. (Type integers or decimals. Do not round) b. Complete the sentence "Approximately 95% of the men have brain weights between kg and Approximately 95% of the men have brain weights between 1.32 kg and 1.8 kg. (Type integers or decimals. Do not round) c. Complete the sentence "Approximately 99.7% of the men have brain weights between kg and Approximately 99.7% of the men have brain weights between kg and kg. (Type integers or decimals. Do not round) kg." kg."

According to a study, brain weights of men in country A are normally distributed with mean 1.56 kg and standard deviation 0.12 kg. Apply the Complete parts (a) through (d). a. Complete the sentence "Approximately 68% of the men have brain weights between kg and kg." Approximately 68% of the men have brain weights between 1.44 kg and 1.68 kg. (Type integers or decimals. Do not round) b. Complete the sentence "Approximately 95% of the men have brain weights between kg and Approximately 95% of the men have brain weights between 1.32 kg and 1.8 kg. (Type integers or decimals. Do not round) c. Complete the sentence "Approximately 99.7% of the men have brain weights between kg and Approximately 99.7% of the men have brain weights between kg and kg. (Type integers or decimals. Do not round) kg." kg."

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
### Understanding Brain Weights Using the Empirical Rule According to a study, brain weights of men in country A are normally distributed with a mean of 1.56 kg and a standard deviation of 0.12 kg. By applying the empirical rule (also known as the 68-95-99.7 rule), we can complete the following sentences to better understand the distribution of brain weights. #### (a) Complete the sentence: "Approximately 68% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 68% of the men have brain weights between **1.44 kg** and **1.68 kg**. *(Type integers or decimals. Do not round)* #### (b) Complete the sentence: "Approximately 95% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 95% of the men have brain weights between **1.32 kg** and **1.8 kg**. *(Type integers or decimals. Do not round)* #### (c) Complete the sentence: "Approximately 99.7% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 99.7% of the men have brain weights between **1.2 kg** and **1.92 kg**. *(Type integers or decimals. Do not round)* --- ### Explanation of Graphs or Diagrams There are no visible graphs or diagrams within the image. The questions are based on textual completion using the given data and empirical rule context. If diagrams relevant to this topic were present, they might typically include a normal distribution curve illustrating the ranges (±1σ, ±2σ, ±3σ) around the mean.
Transcribed Image Text:### Understanding Brain Weights Using the Empirical Rule According to a study, brain weights of men in country A are normally distributed with a mean of 1.56 kg and a standard deviation of 0.12 kg. By applying the empirical rule (also known as the 68-95-99.7 rule), we can complete the following sentences to better understand the distribution of brain weights. #### (a) Complete the sentence: "Approximately 68% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 68% of the men have brain weights between **1.44 kg** and **1.68 kg**. *(Type integers or decimals. Do not round)* #### (b) Complete the sentence: "Approximately 95% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 95% of the men have brain weights between **1.32 kg** and **1.8 kg**. *(Type integers or decimals. Do not round)* #### (c) Complete the sentence: "Approximately 99.7% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 99.7% of the men have brain weights between **1.2 kg** and **1.92 kg**. *(Type integers or decimals. Do not round)* --- ### Explanation of Graphs or Diagrams There are no visible graphs or diagrams within the image. The questions are based on textual completion using the given data and empirical rule context. If diagrams relevant to this topic were present, they might typically include a normal distribution curve illustrating the ranges (±1σ, ±2σ, ±3σ) around the mean.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS