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 z-score, will affect the resulting probabilities. Use the tool to complete the following table. Z 0.15 0.60 1.20 1.40 Body 0.5596 0.8849 0.9192 Tail 0.4404 0.1151 0.0808 Mean = 0.0 Standard Deviation = 1.0 Body Standard Norm Distribution Mean to z 0.0596 0.3849 0.4192 0 Z Z 1.65 2.25 2.30 2.90 Tail Body 0.9505 0.9878 .5000 0.9981 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.) .5000 Tail 0.0495 0.0122 -3.00 -2.50 -2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 0.000 0.0019 1.50 Mean to z 0.4505 0.4878 0.4981 2.00 2.50 3.00 Z
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 z-score, will affect the resulting probabilities. Use the tool to complete the following table. Z 0.15 0.60 1.20 1.40 Body 0.5596 0.8849 0.9192 Tail 0.4404 0.1151 0.0808 Mean = 0.0 Standard Deviation = 1.0 Body Standard Norm Distribution Mean to z 0.0596 0.3849 0.4192 0 Z Z 1.65 2.25 2.30 2.90 Tail Body 0.9505 0.9878 .5000 0.9981 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.) .5000 Tail 0.0495 0.0122 -3.00 -2.50 -2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 0.000 0.0019 1.50 Mean to z 0.4505 0.4878 0.4981 2.00 2.50 3.00 Z
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 8Q
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Transcribed Image Text:8. Introducing the Distributions tool
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 z-score, will affect the
resulting probabilities.
Use the tool to complete the following table.
Z
0.15
0.60
1.20
1.40
Body
0.5596
0.8849
0.9192
Tail
0.4404
0.1151
0.0808
Mean = 0.0
Standard Deviation = 1.0
Body
Standard Normal Distribution
Mean to z
0.0596
0.3849
0.4192
0
Z
Z
1.65
2.25
2.30
2.90
Tail
Body
0.9505
0.9878
.5000
0.9981
Tail
0.0495
0.0122
0.0019
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.
5000
Mean to z
(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.)
0.4505
0.4878
0.4981
-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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