L6-ss - The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
5/17/11 Lecture 6 1 STOR 155 Introductory Statistics Lecture 6: The Normal Distributions (II) The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL
Background image of page 1

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

View Full DocumentRight Arrow Icon
5/17/11 Lecture 6 2 Review • Density curves • Normal distributions and normal curves • The 68-95-99.7 rule for normal distributions • Standardizing observations • The standard normal distribution
Background image of page 2
5/17/11 Lecture 6 3 Topics • The standard normal table • Normal distribution calculation • Normal quantile plot
Background image of page 3

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

View Full DocumentRight Arrow Icon
5/17/11 Lecture 6 4 The standard normal distribution The standard normal distribution is the normal dist. with mean 0 and standard deviation 1 , denoted as N(0,1) . N(0,1) can be treated as a benchmark. Any normal distribution can be related to N(0,1) by a linear transformation. Z: N(0,1) What is the distribution for X=a+bZ ? Answer: N(a, |b|) (Be careful with the sign of b , more later.)
Background image of page 4
5/17/11 Lecture 6 5 Table A: The Standard Normal Table Table A is a table of areas under the standard normal density curve. The table entry for each value z is the area under the curve to the left of z .
Background image of page 5

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

View Full DocumentRight Arrow Icon
5/17/11 Lecture 6 6 Table A : The Standard Normal Table Table A can be used to find the proportion of observations of a variable which fall to the left of a specific value z if the variable follows a normal distribution.
Background image of page 6
5/17/11 Lecture 6 7
Background image of page 7

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

View Full DocumentRight Arrow Icon
5/17/11 Lecture 6 8 Example • If Z has a standard normal distribution, determine the value z for which the area under the normal curve between 0 and z is 0.4192.
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 27

L6-ss - The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online