CHEE 231
Formula Sheet
Mean
Population mean
Sample mean
n
x1 + x2 +. + xn i=1 xi
x=
=
n
n
x
E(x) = =
N
Variance
Population variance
Sample variance
V (x) = E(x )2 ) = 2 =
Covariance
(x )
N
n
i=1 (xi x)2
s =
n 1
2
2
Standard deviation
1
(ai a)(bi b)
n 1 i=

Data Analysis and Design of Experiments, CHEE 231
Assignment 11
December 4, 2015
Problem 1
Generate the following fractional designs:
a. Half fraction 25-1 with generator I=ABCDE
b. Quarter fraction 26-2 with generators I=ABCE and I=BCDF
Problem 2
Two cat

Data Analysis and Design of Experiment, CHEE 231
Assignment 4
October 2, 2015
Propagation of Error
Problem 1
A small orange juice company has two factories. Factory A produces on average 500 L/day with
a standard deviation of 30L/day. Factory B produces o

Data Analysis and Design of Experiments, CHEE 231
Assignment 3
September 25, 2015
Problem 1
A company makes pool balls. They measure their entire production and realize their balls follow a
normal distribution. Given a normal distribution with a mean of 1

Data Analysis and Design of Experiments, CHEE 231
Assignment 2
September 18, 2015
Probability density function
Problem 1
A probability density function has been graphed of the mass of a rock found on a certain
road.
Probability
0.30
0.25
0.20
0.15
0.10
0.

CHEE 231 Assignment 10
Problem 1
An engineer suspects that the surface finish of metal parts is influenced by the type of paint used
and the drying time. She selects two drying times-20 and 30 minutes-and uses two types of paint.
Three parts are tested wi

Data Analysis and Design of Experiments
CHEE231 (3 credits)
Fall 2016
Department of Chemical Engineering
McGill University
Instructor : Prof. Pierre-Luc Girard-Lauriault
M.H. Wong Building, room 4150
Tel. 514-398-4006
email : pierre-luc.girard-lauriault@

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Decision Making for Two samples (Ch

CHEE 231 Simulation 1: Simple Linear Regression
November 13, 2012
To be completed within 1.5 weeks of the above date
Linear regression is an important part of experimental science, in that it allows for
the dev

1
CHEE231 Data Analysis
Assignment 7
1.1
Question 1
A company is trying to analyze the performance of its same-size chain stores located on
the east and west side of the town. 8 stores were randomly selected from the east end and
10 from the west. The fol

Data Analysis and Design of Experiments, CHEE 231
Assignment 5
October 7, 2015
Problem 1
The yield of a chemical process is found to be normally distributed with =3. The past 5 days of
plant operation have resulted in the following percent yields: 91.6, 8

Data Analysis and Design of Experiments, CHEE 231
Assignment 6
October 23, 2015
T-test validity
1.
Sampling design is highly important for the validity of statistical tests. Consider the
following sampling design: The Great Lakes is an important resource

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

Course Outline
1. Sta's'cs in Engineering (Chapter 1)
2. Data Summary and Presenta'on (Chapter 2)
3. Random Variables and Probability Distribu'ons (Chapter 3)
4. Decision Making for a Single Sample (Chapter 4)
5. Deci

CHEE 231
Formula Sheet
Mean
Population mean
E(x) = =
Fall 2014
Sample mean
x
N
n
x1 + x2 +. + xn i=1 xi
x=
=
n
n
Variance
Population variance
Sample variance
V (x) = E(x )2 ) = 2 =
s2 =
(x )2
N
n
i=1
(xi x)
n 1
Standard deviation
2
= 2
s = s2
,
Quantile

CHEE 231: Data Analysis and Design of Experiments Test 2
Proofs: Welcome to PLG Hell
Hypothesis Testing Errors: Find n for Certain , and
Note: is the value in the z distribution that has probability
above it. = ( )
If > 0, the true mean is higher than t

Data Analysis and Design of Experiments, CHEE 231
Assignment 10
November 27, 2015
Problem 1
An engineer suspects that the surface finish of metal parts is influenced by the type of paint used
and the drying time. She selects two drying times-20 and 30 min

Data Analysis and Design of Experiment, CHEE231
Assignment 9
Nov 13, 2015
Problem 2
Researchers collected income, age and hours worked per week for a random sample of employees at a
large company. The researchers have proposed two models for the data:
(1)

Data Analysis and Experimental Design, CHEE231
Assignment 8
November 6, 2015
One factor linear regression
Problem 1
Assume that the independent variable (constant) xi and the dependent variable (random variable)
Yi has the relationship Yi 0 x1 ei , where

Data Analysis and Design of Experiments, CHEE 231
Assignment 7
October 23, 2015
Problem 1
A social science researcher wants to test the reaction time of five year old students, and see if
there is any difference between male and female students. The stude