Note: Every normal distribution can be transformed into the Standard Normal Distribution (the distribution for z- scores). Which normal curve has the greatest mean? Which normal curve has the greatest standard deviation? (Remember that any probability distribution has two properties: all probabilities are between 0 and 1 and the sum of the probabilities is 1.) **Probabilities = Areas under the curve**Įx: Consider the normal distribution curves below. By using the normal distribution curve, we are treating the data as a continuous random variable that has its own continuous probability distribution. Why do we need to study this? Eventually we will use these probabilities and z-scores to make decisions. Now we will use these normal curves to find probabilities (areas) and z-scores for any data value. From Test 1 remember that normal curves have z-scores (for any data value) and areas under the curve (one way: Empirical Rule). In this section we will revisit histograms which can be estimated with normal (symmetric, bell-shaped) curves. Use z-scores to Calculate Area Under the Standard Normal Curve (using StatCrunch or Calculator) Section 5.1: Intro to Normal Distributions and the Standard Normal Distributions Objectives: Chapter 5: Normal Probability Distributions
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