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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
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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