{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture_10,_Chap_7,_Sec_1,_2

# Lecture_10,_Chap_7,_Sec_1,_2 - Chapter 7 The Normal...

This preview shows pages 1–10. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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 Click to edit Master subtitle style Chapter 7 Section 1 Properties of the Normal Distribution

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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 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 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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Sullivan – Statistics : Informed Decisions Using Data – 2nd Edition – Chapter 7 Section 1 – Slide 8 of 51 Properties of the Normal Distribution There are normal curves for each combination of μ and σ The curves look different, but the same too Different values of μ shift the curve left and right Different values of σ shift the curve up and down
Sullivan – Statistics : Informed Decisions Using Data – 2nd Edition – Chapter 7 Section 1 – Slide 9 of 51

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 51

Lecture_10,_Chap_7,_Sec_1,_2 - Chapter 7 The Normal...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online