Section 4.4
Sampling Distribution Models
and the Central Limit Theorem
Transition from Data Analysis and
Probability to Statistics
Probability:
From population to
sample (deduction)
Statistics:
From
4.3 NORMAL PROBABILITY
DISTRIBUTIONS
The Most Important Probability
Distribution in Statistics
Normal Distributions
A random variable X with mean and
standard deviation is normally distributed if
its
4.2 (cont.) Expected Value of
a Discrete Random Variable
A measure of the middle of
the values of a random
variable
Probability
Center
.40
.35
.30
.25
.20
.15
Lousy
Good
OK
Great
.10
.05
-4
-2
0
2
4
6
Lecture Unit 3
Sample Surveys
Producing Valid Data
If you dont believe in random sampling,
the next time you have a blood test tell the
doctor to take it all.
The election of 1948
The Predictions
The
Binomial Random
Variables
Binomial Probability Distributions
Binomial Random
Variables
Through
2/25/2014 NC States freethrow percentage is 65.1% (315th out
351 in Div. 1).
If in the 2/26/2014 game wit
The
Poisson Probability
Models
Poisson experiment typically
models situations where rare
events occur over a fixed amount
of time or within a specified region
Examples
The number of cellphone calls p
Unit 4 Probability Basics
Laws of Probability
Odds and Probability
Probability Trees
Birthday Problem
What is the smallest number of
people you need in a group so that
the probability of 2 or more
Section 4.1 (cont.) Probability
Trees
A Graphical Method for
Complicated Probability
Problems
Example: Southwest Energy
A Southwest Energy Company pipeline has 3
safety shutoff valves in case the lin
ODDS AND PROBABILITIES
World Series Odds
From probability to odds
From odds to probability
From Probability to Odds
If event A has
probability P(A),
then the odds in
favor of A are P(A)
to 1-P(A). It
2.4 Describing Distributions
Numerically cont.
Describing Symmetric Data
1
Symmetric Data
Body temp. of 93 adults
2
Recall: 2 characteristics of a
data set to measure
center
measures where the middle
Lecture Unit 2
Graphical and Numerical
Summaries of Data
UNIT OBJECTIVES
At the conclusion of this unit you should be able to:
1) Construct graphs that appropriately describe data
2) Calculate and int
Lecture Unit 1
Stats Starts Here
Objectives: be able to
Identify the Who, What, Why, When, Where
and How associated with data
Identify different types of data variables
Statistics: An Overview
Eve
The Program
Push A:
Flat Bench
5 sets of 5 reps at 85% of your 1 rep max
Incline Dumbell Press
5 sets of 5 reps at 85% of your one rep max
Standing Military Press
5 sets of 5 reps at 85% of your one r