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Statistics 5.3

# Statistics 5.3 - 5-3 Applications of Normal Distributions...

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5-3 Applications of Normal Distributions Objectives : Students will be able to: Solve Normal Distribution application problems. Recall that the Standard Normal Distribution has a mean of 0 and standard deviation 1. Also recall The Empirical Rule . About % of the area is between z = -1 and z = 1 (or within 1 standard deviation). About % of the area is between z = -2 and z = 2 (or within 2 standard deviations). About % of the area is between z = -3 and z = 3 (or within 3 standard deviations). Draw a diagram of The Empirical Rule here (p. 78 in the textbook may be helpful): Use this information to find the following probabilities (do not use table A-2). (1 Pz < ) ) ) 5 ) (2 < (3 < Now use table A-2 to find the probabilities. What observation(s) can be made? Find the following probabilities using table A-2 or your TI-8x: ( 1.645) < . 5 7 >− (1.96 2.33) << Introduction to Statistics 1 5-3 Applications of Normal Distributions

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Nonstandard Normal Distributions Non-standard normal distributions have mean 0 μ and standard deviation 1 σ . Since
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Statistics 5.3 - 5-3 Applications of Normal Distributions...

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