Body Tail Mean to z Body Tail Mean to z 0.25 0.5987 0.4013 0.0987 1.55 0.9394 0.0606 0.4394 0.75 2.15 0.9842 0.0158 0.4842 1.10 0.8643 0.1357 0.3643 2.65 1.30 0.9032 0.0968 0.4032 2.80 0.9974 0.0026 0.4974
Body Tail Mean to z Body Tail Mean to z 0.25 0.5987 0.4013 0.0987 1.55 0.9394 0.0606 0.4394 0.75 2.15 0.9842 0.0158 0.4842 1.10 0.8643 0.1357 0.3643 2.65 1.30 0.9032 0.0968 0.4032 2.80 0.9974 0.0026 0.4974
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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Transcribed Image Text:Many Aplia problems use the following Distributions tool. You can use this tool to retrieve the information that you would get from a distributions table.
The advantage of the tool is that it allows you to see in two dimensions how changing parameters, such as the 2-score, will affect the resulting
probabilities.
Use the tool to complete the following table.
Body
Tail
Body
Tail
Mean to z
Body
Tail
Mean to z
0.25
0.5987
0.4013
0.0987
1.55
0.9394
0.0606
0.4394
0.75
2.15
0.9842
0.0158
0.4842
1.10
0.8643
0.1357
0.3643
2.65
1.30
0.9032
0.0968
0.4032
2.80
0.9974
0.0026
0.4974
To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis. The areas under the standard normal
curve to the left and right of the vertical line are displayed in blue and orange, respectively.
(Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore,
the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) - 0.5.)
Standard Normal Distribution
Meen00
Stenderd Devatent0
5000
S000
-3.00 -2.50-2.00 -1.50
-1.00 -0.50 0.00
0.50
1.00 1.50
2.00 2.50 3.00
0.000
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