11. A 14-year-old boy is 66 in, tall. His 6-vear-old brother is 47 in. tall. The following table gives the means and standard deviations for the heights of 6- and 14-year-old boys. Assume that the heights of boys at a particular age are normally distributed. Age Mean Standard deviation 6. 45.8 in. 1.4 14 64.3 in. 2.8 a. Which boy is taller for his age? b. If there are 11 other boys in the 6-year-old's class at school, how many of them would you expect to be taller than he is?

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
Topic Video
Question
11 a and b pleaseee help
30.6 Examining Distributions
759
disrnouted. Think of real-world situations that would yield data with these distributions.
10. Draw a picture of a symmetric distribution that has different values for the median and
mode.
11. A 14-year-old boy is 66 in, tall. His 6-year-old brother is 47 in. tall. The following
table gives the means and standard deviations for the heights of 6- and 14-year-old
boys. Assume that the heights of boys at a particular age are normally distributed.
Age
Mean
Standard deviation
6.
45.8 in.
1.4
14
64.3 in.
2.8
a. Which boy is taller for his age?
b. If there are 11 other boys in the 6-year-old's class at school, how many of them
would you expect to be taller than he is?
12. Antonio's height is 1 standard deviation below the mean for boys his age. If the
heights of boys are normally distributed, at what percentile is Antonio's height? (What
percent of the boys his age are as short or shorter than Antonio?)
Transcribed Image Text:30.6 Examining Distributions 759 disrnouted. Think of real-world situations that would yield data with these distributions. 10. Draw a picture of a symmetric distribution that has different values for the median and mode. 11. A 14-year-old boy is 66 in, tall. His 6-year-old brother is 47 in. tall. The following table gives the means and standard deviations for the heights of 6- and 14-year-old boys. Assume that the heights of boys at a particular age are normally distributed. Age Mean Standard deviation 6. 45.8 in. 1.4 14 64.3 in. 2.8 a. Which boy is taller for his age? b. If there are 11 other boys in the 6-year-old's class at school, how many of them would you expect to be taller than he is? 12. Antonio's height is 1 standard deviation below the mean for boys his age. If the heights of boys are normally distributed, at what percentile is Antonio's height? (What percent of the boys his age are as short or shorter than Antonio?)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
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