any 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 Body Tail Mean to z 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 Mean = 0.0 Standard Deviation = 1.0 -3.00-2.50-2.00-1.50-1.00-0.500.000.501.001.502.002.503.00z.5000.50000.000 Grade It Now Save & Continue
any 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 Body Tail Mean to z 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 Mean = 0.0 Standard Deviation = 1.0 -3.00-2.50-2.00-1.50-1.00-0.500.000.501.001.502.002.503.00z.5000.50000.000 Grade It Now Save & Continue
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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Question
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 | Body | Tail | 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
Mean = 0.0
Standard Deviation = 1.0
-3.00-2.50-2.00-1.50-1.00-0.500.000.501.001.502.002.503.00z.5000.50000.000
Grade It Now
Save & Continue
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