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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.

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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 zscore, will affect the resulting probabilities. Use the tool to complete the following table. 2 Body Tail Mean to z 2 Body Tail Mean to z 0.10 0.5398 0.4602 0.0398 1.80 0.9641 0.0359 0.4641 0.65 v v v 2.20 0.9861 0.0139 0.4861 1.25 0.8944 0.1056 0.3944 2.55 V V V 1.60 0.9452 0.0548 0.4452 2.95 0.9984 0.0016 0.4984 To nd the probability of a zscore, 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.) (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 Distributlon Mean = 0.0 Standard Deviation = 1.0 -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 2

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