I+.05 method: for kth %ile. Returns item place in array of ordered set. K as integer. N+1 method: . K in decimal form. For interpolators (e.g. 3.5), ipart + fpart(larger-smaller). Sample mean is just average Sample variance PDFs: P(a<x<b) =
1) F(x)

Random Variables and Probability Distributions
CHAPTER 3
Facts
s
Let P(A) be the probability of any event,
A, happening
0 < P(A) < 1.0
1-P(A) is the probability that event A does
not happen
s
The sum of the probabilities of all
possible outcomes must =

Chapter 1
The Role of Statistics in Engineering
Probability vs. Statistics
Probability is about CHANCE
1/3 of this course is pure probability
Statistics are about DATA that estimate CHANCE
2/3 of this course is statistics
You will have to learn some

How to Compute = P(Type II Error)
= P(fail to reject H0 when H0 is false)
1. Draw the pdf of x using 0 . Over this pdf draw the shifted pdf of x if the
true population mean is true
2. Determine the values of x that cause you to fail to reject H0
z
If H1

Chapter 1
The Role of Statistics in
Engineering
Probability vs. Statistics
Probability is about CHANCE
1/3 of this course is pure probability
Statistics are about DATA that estimate
CHANCE
2/3 of this course is statistics
You will have to learn some thing

E(Y|x)=Y|x=0+1x Simple Linear Regression Model: Y=0+1x+ Assumes random, independent, mean 0, constant variance Method of Least Squares: Yi=0+1xi+i, i=1, 2, , n where:
Y|x0=y0=0+1x0, x0is some specified value VY|x0=21n+x0-x2Sxx
se(Y|x0)=sqrt(V[Y|x0]

Design of Engineering
Experiments
Chapter 7
7.1-7.3 only
Introductory Experiment
Gender:
Energy/Caffeine Drink:
Resting Pulse:
M or F
Y or N
bpm value
Need volunteers who
are male or female
who have or have not had a(n) energy/caffeine drink in the last

n
Regression
Chapter6
SimpleLinearRegression
Model
Y = 0 + 1 x +
Weuseleastsquaresestimatorsof0and1andcalledthem
0 , 1
2
WhatistheDowJones
IndustrialAverage(DJIA)?
n
n
n
n
n
Astockmarketindex
Comprisedofthestockof30
companies
Ascaledmeasureoftheaveragep

Decision Making for Two
Samples
Chapter 5
True Story
In the 1980s, the Hughes Aircraft Co. (HAC) bought cryogenic
coolers for their Bradley Fighting Vehicle night vision assemblies
from two different vendors:
Hughes Aircraft Co. (HAC) Santa Barbara (in-h

Decision Making for a Single
Sample
Chapter 4
Ch. 3 Review Points
1. T he s ample mean of n i tems, X , i s a normally distributed
random variable for n 2 i f X i s normally distributed.
2. E(X) = E(X) =
V(X)
2
3 .V(X) = 2 and V(X) =
=
n
n
X-
4. Z =
n
2

Chapter 2
Data Summary and Presentation
Section 2.3 only
Histograms
Sometimes called a frequency distribution chart
Show us data variability
Can indicate what probability distribution our
data follow
Discrete Data: Binomial, Poisson, Discrete Uniform

Design of Engineering
Experiments
Chapter 7
7.1-7.3 only
Introductory Experiment
Gender:
M or F
Energy/Caffeine Drink: Y or N
Resting Pulse:
bpm value
Need volunteers who
are male or female
who have or have not had a(n) energy/caffeine drink in the last

Statistical Process Control
Chapter 8
What is Quality?
How do we measure quality?
2
Quality Improvement Means.
Quality improvement means:
Reducing variability in products and processes
Almost every company has either a quality control
department or ind

Statistical Process Control
Chapter 8
What is Quality?
How do we measure quality?
Quality improvement means:
Reducing variability in products and processes
Waste reduction
2
Quality Words
Zero defects
Six Sigma
TQM
Total Quality Management
SQC
Sta

Design of Engineering
Experiments
Chapter 7
7.1-7.3 only
Experiment
Gender:
M or F
Energy/Caffeine Drink: Y or N
Resting Pulse:
bpm value
Need volunteers who
are male or female
who have or have not had a(n) energy/caffeine drink in the last hour
Take yo

Decision Making for a Single
Sample
Chapter 4
Statistical Inference
Statistical Inference helps us determine
information (like mean, variance) about a
population based upon data taken from a
sample of size n of that population
2
Parameter Estimation
The

IEE 380 Online Spring 2015 Team Project
Introduction
Most of IEE 380 has been spent reading problems from the text and applying the
methods and techniques of the class. Data are provided for you in the problems,
but as working engineers and computer scien

Decision Making for Two
Samples
Chapter 5
True Story
In the 1980s, the Hughes Aircraft Co. (HAC) bought cryogenic
coolers for their Bradley Fighting Vehicle night vision assemblies
from two different vendors:
Hughes Aircraft Co. (HAC) Santa Barbara (in-h

Chapter 1
The Role of Statistics in
Engineering
Probability vs. Statistics
Probability is about CHANCE
1/3 of this course is pure probability
Statistics are about DATA that estimate
CHANCE
2/3 of this course is statistics
You will have to learn some thing

IEE 380 Online Team Project
Introduction
Most of IEE 380 has been spent reading problems from the text and applying the
methods and techniques of the class. Data are provided for you in the problems,
but as working engineers and computer scientists, you w

Random Variables and Probability Distributions
CHAPTER 3
Facts
Let P(A) be the probability of any event,
A, happening
0 < P(A) < 1.0
1-P(A) is the probability that event A does
not happen
The sum of the probabilities of all
possible outcomes must = 1.0

Decision Making for a Single
Sample
Chapter 4
Ch. 3 Review Points
1. The sample mean of n items, X , is a normally distribute d
random variable for n 2 if X is normally distribute d.
2. E(X) E(X)
2
V(X)
3. V(X) 2 and V(X)
n
n
X-
4. Z
n
2
Statistical In

Regression
CHAPTER 6
Simple Linear Regression
Model
Y 0 1 x
We use least squares estimators of 0 and
1 and called them
0 , 1
2
What is the Dow Jones Industrial
Average (DJIA)?
A stock market index
Comprised of the stock of 30
companies
A scaled measure o

Chapter 2
Data Summary and
Presentation
Sections 2.1 and 2.3
only
Equations you will be using
soon
N
Population mean
xi
=
i =1 N
n
Sample mean
Population standard
deviation
Sample standard
deviation
xi
x=
i =1 n
=
N
i =1
s=
s
i =1
( xi ) 2
N
( xi x ) 2
n

Chapter 1
The Role of Statistics in
Engineering
Probability vs. Statistics
Probability is about CHANCE
1/3 of this course is pure probability
Statistics are about DATA that estimate
CHANCE
2/3 of this course is statistics
You will have to learn some thing

God I hate stats. In a factorial experiment, each possible combinations of the levels of the factors in each replicate of the experiment is investigated. An experiment with two factors (A, B) is represented by a flat sheet in 3-D surface plot. Factor

I+.05 method:
(i-0.5)n*100=k for kth %ile. Returns item place
in array of ordered set. K as integer. N+1 method:
kn+1= i. K in decimal form.
For interpolators (e.g. 3.5), ipart + fpart(larger-smaller). Sample mean is just average Sample variance

I+.05 method: for kth %ile. Returns item place in array of ordered set. K as integer. N+1 method: . K in decimal form. For interpolators (e.g. 3.5), ipart + fpart(larger-smaller). Sample mean is just average Sample variance PDFs: P(a<x<b) =
1) 2)
CD