Noah vUsing the empirical rule to identify values and percentages of a.EspañolThe height of an 8th grader is modeled using the normal distribution shown below.The mean of the distribution is 70.9 in and the standard deviation is 1.6 in.In the figure, V is a number along the axis and is under the highest part of the curve.And, U and W are numbers along the axis that are each the same distance away from V.Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the valuesof U, V, and W.Percentage of total area shaded:(Choose one) V666870V72 W7476Height (in inches)2021U =]w = 1ereeurse Project-..ExplanationCheckO 2021 McGraw-Hil Education. AlI Rights Reserved. Terms of Use I Privacy Accessibility21 Financial Goole leee po 20 in teétv17&89%3D456delete{}RYP%3DFJKretu?VM+ II.. ..

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Noah v
Using the empirical rule to identify values and percentages of a.
Español
The height of an 8th grader is modeled using the normal distribution shown below.
The mean of the distribution is 70.9 in and the standard deviation is 1.6 in.
In the figure, V is a number along the axis and is under the highest part of the curve.
And, U and W are numbers along the axis that are each the same distance away from V.
Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values
of U, V, and W.
Percentage of total area shaded:(Choose one) V
66
68
70
V
72 W
74
76
Height (in inches)
2021
U =]
w = 1
eree
urse Project-..
Explanation
Check
O 2021 McGraw-Hil Education. AlI Rights Reserved. Terms of Use I Privacy Accessibility
21 Financial Goole leee po 20 in te
étv
17
&
8
9
%3D
4
5
6
delete
{
}
R
Y
P
%3D
F
J
K
retu
?
V
M
+ II
.. ..

Expert Solution

Step 1

Empirical Rule :

It is also called as the three-sigma rule or 68-95-99.7 rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.

In particular, the empirical rule predicts that :

68% of observations falls within the first standard deviation (µ ± σ)

95% within the first two standard deviations (µ ± 2σ)

99.7% within the first three standard deviations (µ ± 3σ).

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