Statistics for Business
STAT130
Unit 6: Comparing Population
Means
Chapter 10
Statistical Inferences Based on
Two independent Samples
Comparing Two Means
Suppose we have two independent populations
with means 1 and 2, respectively.
We are
interested in ma
Statistics for Business
STAT130
Unit 2: Probability and Random
Variables
Chapter 4
Probability
Basic Concepts
Experiment
Sample space (S)
A process of observation whose outcome is not
known in advance with certainty.
e.g. Single throw of a 6-sided die.
Se
Statistics for Business
STAT130
Unit 7: Test of Proportions and
Chi-square Tests
Section 10.4
Comparing Two Population
Proportions
Comparing Two Population
Select a random sample of size n1 from a
population, and let p1 denote the proportion of
units in t
Statistics for Business
STAT130
Unit 1: Introduction and
Descriptive Statistics
Chapter 1
An Introduction to Business
Statistics
Applications in Business and Economics
Accounting
Production
Public accounting firms use statistical sampling
procedures when
Statistics for Business
STAT130
Unit 2: Probability and Random
Variables
Chapter 4
Probability
Basic Concepts
Experiment
Sample space (S)
A process of observation whose outcome is not
known in advance with certainty.
e.g. Single throw of a 6-sided die.
Se
Statistics for Business
STAT130
Unit 7: Test of Proportions and
Chi-square Tests
Section 10.4
Comparing Two Population
Proportions
Comparing Two Population
Select a random sample of size n1 from a
population, and let p1 denote the proportion of
units in t
Unit 5
Mean vs value
A new billing system for a department store will be cost- effective only if the mean monthly
account is more than $170. A sample of 400 monthly accounts has a mean of $178. If the
accounts are approximately normally distributed with s
Statistics for Business
STAT130
Unit 8: Correlation and
Regression Analysis
Chapter 13
Simple Linear Regression
Analysis
Introduction
In addition to hypothesis testing and confidence
intervals,
inferential
statistics
involves
determining whether a relatio
Statistics for Business
STAT130
Unit 5: Hypothesis Testing of a
Single Population Mean or
Proportion
Introduction
There are two common
statistical inference:
1)
of
formal
Confidence intervals:
2)
types
They are appropriate when our goal is to estimate a
p
Statistics for Business
STAT130
Unit 6: Comparing Population
Means
Chapter 10
Statistical Inferences Based on
Two Samples
Comparing Two Means
Suppose we have two independent populations
with means 1 and 2, respectively.
We are
interested in making statist
Statistics for Business
STAT130
Unit 4: Confidence Intervals
Introduction
A parameter is a numerical characteristic of a
population, which is usually unknown. So, we try
to get an approximate value for this parameter,
or estimate it.
There are two types o
Statistics for Business
STAT130
Unit 2: Probability and Random
Variables
Chapter 4
Probability
Basic Concepts
Experiment
Sample space (S)
A process of observation whose outcome is not
known in advance with certainty.
e.g. Single throw of a 6-sided die.
Se
Statistics for
Business
STAT130
Unit 8: Correlation and
Regression Analysis
Chapter 13
Simple Linear Regression
Analysis
Introduction
In addition to hypothesis testing and confidence
intervals,
inferential
statistics
involves
determining whether a relatio
Statistics for Business
STAT130
Unit 6: Comparing Population
Means
Chapter 10
Statistical Inferences Based on
Two Samples
Comparing Two Means
Suppose we have two independent populations
with means 1 and 2, respectively.
We are
interested in making statist
Statistics for Business
STAT130
Unit 7: Test of Proportions and
Chi-square Tests
Section 10.4
Comparing Two Population
Proportions
Comparing Two Population
Select a random sample of size n1 from a
population, and let p1 denote the proportion of
units in t
Statistics for Business
STAT130
Unit 1: Introduction and
Descriptive Statistics
Chapter 1
An Introduction to Business
Statistics
What is statistics
Statistics may be defined as the art of
science that deals with collecting,
analyzing, presenting, and inte
United Arab Emirates University
College of Sciences
Department of Mathematical Sciences
EXAM 1
Calculus II for Engineering
MATH 1120 SECTION 4 CRN 23510
11:00 12:50 on Monday & Wednesday
Exam Date: Wednesday, September 24, 2008
ID No:
200
Name:
Score:
/80
In[1]:=
Needs " VectorFieldPlots`"
In[2]:=
A
GradientFieldPlot Sin x y ,
B
ContourPlot
x,
1, 1 ,
y,
1, 1
Out[2]=
In[3]:=
Sin x y
.1, Sin x y
0, Sin x y
1.0
0.5
Out[3]=
0.0
0.5
1.0
1.0
0.5
0.0
0.5
1.0
.1 , x, 1, 1 ,
y, 1, 1
2
Untitled-1
In[4]:=
Out[4]=
Sho
Cross Product
Consider the two vectors
and
then the cross product is given by the formula,
The notation for the determinant is as follows,
Here is the way to do that formula.
where,
Another idea
We multiply along each diagonal and add those that move from
Dot Product
Given the two vectors
the dot product is,
and
The dot product is also called an inner product
.
Example Compute the dot product for each of the following.
(a)
(b)
Solution
(a)
(b)
Here are some properties of the dot product.
Properties
If
then
United Arab Emirates University
College of Sciences
Department of Mathematical Sciences
MIDTERM EXAMINATION
Calculus II for Engineering
Exam Date: Monday, March 29, 2009
ID No:
200
Name:
Score:
/40
Instructions:
1. Read the questions carefully before you
Vectors
A vector is a line segment running from point A (tail) to point B (head).
Each vector has a magnitude (also referred to as length) and a direction.
Direction of a Vector
This is the direction of the line which contains the vector or any line which
Calculus II for Engineering
FIRST EXAMINATION
Fall, 2008
1. (Total 10) For a = 〈 1, 2 〉, b = 〈 5, −6 〉, c = i − 4j − 3k and d = i − 3j + 4k, compute
(1.1) (5 points) a + b and b − 2a
United Arab Emirates University
College of Sciences
Department of Mathem
Calculus II for Engineering
MIDTERM EXAMINATION
Fall, 2008
Section I. Multiple Choice Problems (Total 20 Points, 2 Points Each)
(No partial credits for this section)
1. (2 points) Find a vector with magnitude 4 in the same direction as the vector from the
(This project worth 10% of the total marks of the course. Please work in group and
submit a group report of up to 9 pages).
Project:
A maker of fabric for clothing is setting up a new line to finish the raw fabric. He is
interested to investigate the effe
TwoWayAnalysisofVariance
A twofactorfactorialdesign comparesthemeanresponse
for a levels offactor Aandeach of b levelsoffactorB.A
treatmentisacombinationofaleveloffactorAandalevel
offactorB
1
Factor A
1
2
.
.
.
a
yijk=
Factor B
2
3
b
responseforthe
kthexp
STAT220
EngineeringStatistics
Unit10:
AnalysisofVariance
ExperimentalDesign
Up until now, we have considered only two ways of
collectingandcomparingdata:
Usingindependentrandomsamples
Usingpaired(ormatched)samples
Oftendataiscollectedastheresultofanexperi
STAT220
EngineeringStatistics
Unit8:
StatisticalInferenceforTwo
Samples
ComparingTwoVariances
For the comparison of two variances or standard
deviationsofnormalpopulations,anFtestisused.
Thesamplingdistributionofthevariancesiscalledthe F
distribution.
Cha