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?
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
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11 a and b pleaseee help
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?)
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