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Unformatted text preview: Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Introduction Slide 1 of 51 Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Introduction Slide 1 of 51 Click to edit Master subtitle style Chapter 7 The Normal Probability Distribution Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Introduction Slide 2 of 51 Overview In this chapter, we introduce continuous distributions which deals with continuous random variables Continuous random variables may assume any value within an interval on the number line not just discrete values The fundamental distribution underlying most of inferential statistics is the normal distribution Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Section 1 Slide 3 of 51 Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Section 1 Slide 3 of 51 Click to edit Master subtitle style Chapter 7 Section 1 Properties of the Normal Distribution Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Section 1 Slide 4 of 51 Properties of the Normal Distribution Learning objectives Understand the uniform probability distribution Graph a normal curve State the properties of a normal curve Understand the role of area in the normal density function Understand the relation between a normal random variable and a standard normal random variable 2 3 4 5 1 Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Section 1 Slide 5 of 51 Properties of the Normal Distribution The normal curve has a very specific bell shaped distribution The normal curve looks like Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Section 1 Slide 6 of 51 Properties of the Normal Distribution A normally distributed random variable, or a variable with a normal probability distribution , is a random variable that has a relative frequency histogram in the shape of a normal curve A normally distributed random variable, or a variable with a normal probability distribution , is a random variable that has a relative frequency histogram in the shape of a normal curve This curve is also called the normal density curve (a particular probability density function) Sullivan Statistics : Informed Decisions Using Data 2nd Edition Chapter 7 Section 1 Slide 7 of 51 Properties of the Normal Distribution A probability density function is an equation used to specify and compute probabilities of a continuous random variable A probability density function is an equation used to specify and compute probabilities of a continuous random variable This equation must have two properties The total area under the graph of the equation is equal to 1 (the total probability is 1) The equation is always greater than or equal to zero (probabilities are always greater than or equal to zero) Sullivan...
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 Spring '08
 sims
 Statistics, Probability

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