CHE220, Tutorial 3: Probability mass function, cumulative distribution function, mean and
variance of a discrete random variable, discrete uniform distribution
Problem 1: Marketing estimates that a ne
H.W. # 4 (Due Thursday, November 15, 2012)
(Note: submit only problems marked with a *)
1) * Suppose we have a random sample of size 2n from a population denoted by X, and
E(X) = u and V(X) = 2. Let
_
Treatment of Data
Outline:
1.
2.
3.
4.
5.
6.
Data Summary and Display
Random Sampling
Stem-and-Leaf Diagram
Box Plots
Time Sequence Plots
Probability Plots
1
1 Data Summary and Display
Definition
(1)
Curve Fitting
1
1 Empirical Models
Many problems in engineering and science involve
exploring the relationships between two or more
variables.
Regression analysis is a statistical technique that is
Topic 7: Statistical Intervals for
a Single Sample
a) Confidence Interval on the Mean of a Normal
Population.
b) Confidence Interval for Variance and Standard
Deviation
c) Confidence Interval for a Pr
CHE220, Tutorial 1: Set Operations, Counting, and Definition of Probability
1.
Represent the following sets by listing all their elements.
a)
cfw_ x : x is a positive integer, x 12
b)
cfw_ x : x is t
Workshop 4: Simple Linear Regression and Correlation
Instructions:
In this workshop you will apply regression analysis tools available in Excel to describe a
manufacturing process after a new manageme
CHE220, Workshop 3: Statistical Intervals for a Single Sample
I. Confidence Interval on Mean, Variance Unknown
When working with a data sample of a particular measurement taken from a population, you
Tutorial 7 - Hypothesis Testing
Solutions
Problem 1: The Naphtha reformer unit in a refinery produces an octane number of 90
under an existing (old) catalyst. A new catalyst has been developed and use
CHE220, Tutorial 5: Continuous Random Variables and Probability Distributions
1. The probability density function of the net weight in pounds of a packaged chemical
herbicide is f(x) = 2.0 for 49.75 <
CHE220, Tutorial 6: Point Estimation of Parameters, Statistical Intervals for a Single
Sample
Problem I: An engineer is analyzing the compressive strength of concrete. Compressive
strength is normally
H.W. # 1 (Due Thursday October 4, 2012)
(Submit only problems marked with a *)
Problem 1:
A digital scale is used that provides weights to the nearest gram.
(a) What is the sample space for this exper
CHEM 220 Quiz #1
1. (10 pts) You are asked in lab to prepare 500.0 mL of 1.00 N sulfuric acid solution. You are
only given an 80.0 wt% stock solution of sulfuric acid to use. How do you prepare the 1.
Theory
Oxidation-reduction reactions, or redox reactions, are volumetric analytical methods that
can analyze more species than other methods, such as acid-base or precipitation reactions. A
notable ap
PRELAB THEORY
The purpose of this lab is to use filtering techniques such as with filter funnels and filter flasks to
gravimetrically determine the unknown percentage amount of calcium. An unknown J s
CHE220, Tutorial 4: BINOMIAL & POISSON DISTRIBUTION
Problem 1: In inspecting 1450 welded joints produced by a certain type of welding machine,
168 defective joints were found. In welding five joints,
Testing for Goodness of Fit
The test is based on the chi-square distribution.
Assume there is a sample of size n from a population whose probability distribution is
unknown.
Let Oi be the observed fre
CHE220, Tutorial 2: Addition Rules, Conditional Probability, Total Probability,
Independence, Bayes Theorem
1. The analysis of shafts for a compressor is summarized by conformance to specifications.
r
H.W. 4 Solutions
1)
2n
Xi
2n
1 E X = 1 ( 2n ) =
i
E X 1 = E i =1 =
2n
2n i =1 2n
n
Xi
n
1
1
E X 2 = E i =1 = E X i = ( n ) = ,
n
n i =1 n
()
()
()
The variances are V X 1 =
X 1 and X 2 are u
H.W. 2 - Solutions
1.
The sum of the probabilities is 1 and all probabilities are greater than or equal to zero;
pmf: f(1) = 0.7, f(4) = 0.2, f(7) = 0.1
a) P(X 4) = 0.9
b) P(X > 7) = 0
c) P(X 5) = 0.9
HW 6 - Due on December 6, 2012
Problem 1:
An article in Concrete Research (Near Surface Characteristics of Concrete: Intrinsic
permeability, Vol. 41, 1989), presented data on compressive strength x an
HW 5 - Due Tuesday, November 27, 2012
1. The compressive strength of concrete is being tested by a civil engineer. He tests 12
specimens and obtains the following data.
2216
2225
2318
2237
2301
2255
2