Formula Sheet for MACT 210
n
i=1
Sample variance= S 2 =
2
Pooled variance= Sp =
(
x2
i
n1
2
n
x
i=1 i
n
)
.
2
2
(n1 1)S1 +(n2 1)S2
.
n1 +n2 2
CI for the dierence between two proportions=(p1 p2 ) Z/2
p1 (1p1 )
n1
+
p2 (1p2 )
.
n2
Required values of z

Chapter 9- Part 2
Testing The Difference Between
Two Population Parameters
Rasha El Kholy
Statistics for Business
Chapter 9
0
Steps for Hypothesis Testing for 1-2
Step 1: State the null and the alternative hypotheses (One of the
following cases)
Two-taile

Chapter 11
Analysis Of Variance
One-way ANOVA
Rasha El Kholy
Statistics for Business
Chapter 11
0
What is ANalysis Of VAriance (ANOVA)
It is a procedure used when comparing more than two
means.
While the t test is used to compare two means in two
popula

MACT 2222- Spring 2014
Revision sheet 1
1. Choose the right answer
1. The set of measurements collected for a particular element is (are) called
A. Variables
B. Observations
C. Samples
D. None of these alternatives is correct.
2. The summaries of data, wh

MACT 210: Revision sheet
1. Choose the right answer
i. The set of measurements collected for a particular element is cfw_are called
A. v'ariables
E. Observations
(3. Samples
D. None of these alternatives is correct.
Sole.
2. The summaries ofdata, vvhich m

Solutions for a selected set of questions of revision 3
1. Choose the right answer
1.The coefficient of determination
a.
cannot be negative
b.
is the square root of the coefficient of correlation
c.
is the same as the coefficient of correlation
d.
can be

Formula Sheet
Median = L +
n
cfp
2
fmed
W where
L = the lower limit of the median class interval
cfp = cumulative frequency up to but not including
the frequency of the median class
fmed = the frequency of the median class
W
= width of the median class i

Chapter 9
Estimation
Confidence Interval
(Inference from two samples)
Rasha El Kholy
Statistics for Business
Chapter 9
0
Outline
1.
Confidence Intervals for the
Difference of Two Means
2.
Confidence Intervals For The
Difference of Two Proportions
Rasha El

Assignment 4
1. The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is
selected.
a.
What is the probability that the sample mean will be larger than 1224?
b.
What is the probability that the sample mean will be le

Statistics for Business
Chapter 1:Introduction to Statistics
Class 1
Dr. Noha Youssef
American University in Cairo
Dr. Noha Youssef (AUC)
Chapter 1
1 / 11
Outline
1
What is Statistics?
2
Data Collection
3
Concepts in Statistics
4
Levels of Data Measuremen

Chapter 2
Descriptive Statistics
Part 1
Rasha El Kholy
Statistics for Business
Chapter 2
0
Outline
1.
Measures of Central Tendency:
Mean
Weighted Mean
Trimmed Mean
Median
Mode
Geometric Mean
2.
Conclusions
Rasha El Kholy
Statistics for Business
Chapter 2

Chapter 1
Introduction to Statistics
Class 4
Rasha El Kholy
Statistics for Business
Chapter 1
0
Outline
1.
Graphic Presentations of quantitative
data:
Histogram
Scatter Plot
Time Series
2.
Exercises on Chapter 2
Rasha El Kholy
Statistics for Business
Chap

Chapter 2
Descriptive Statistics
Part 2
Rasha El Kholy
Statistics for Business
Chapter 2
0
Outline
1.
Measures of Variation:
Range
Variance and Standard Deviation
2.
Coefficient of Variation
3.
Conclusions
Rasha El Kholy
Statistics for Business
Chapter 2

Chapter 1
Introduction to Statistics
Class 2
Rasha El Kholy
Statistics for Business
Chapter 1
0
Outline
1.
Sampling Methods
2.
Frequency Distribution
3.
Graphic Presentations of a Frequency
Distribution:
Bar Chart
Pie Chart
4.
Conclusions
Rasha El Kholy
S

Chapter 2
Descriptive Statistics
Part 3
Rasha El Kholy
Statistics for Business
Chapter 2
0
Outline
1.
Measures of Location:
Z-Score
Percentiles
2.
Measures of Shape: Skewness
3.
Exploratory Data Analysis
Outliers
Box Plot
Rasha El Kholy
Statistics for

Chapter 5
Continuous Random Variables
Part 2
Rasha El Kholy
Statistics for Business
Chapter 5
0
Outline
1.
Finding Values of Z given
Probabilities
2.
The Inverse Transformation
Rasha El Kholy
Statistics for Business
Chapter 5
1
Normal Distribution (contd)

Chapter 5
Continuous Random Variables
Part 1
Rasha El Kholy
Statistics for Business
Chapter 5
0
Outline
1.
Random Variable
2.
Normal Distribution
Standard Normal Table
2.
Example
Rasha El Kholy
Statistics for Business
Chapter 5
1
Random Variable
A random

Chapter 6
Sampling Distribution
Rasha El Kholy
Statistics for Business
Chapter 6
0
Outline
1.
Sampling
2.
Sampling Distribution of the
Sample mean
3.
Central Limit Theorem
4.
Sampling Distribution of the
Sample Proportion.
Rasha El Kholy
Statistics for Bu

Assignment 7
1. Below you are given a partial computer output based on a sample of 21 observations,
relating an independent variable (x) and a dependent variable (y).
Predictor
Coefficient
Standard Error
Constant
30.139
1.181
X
-0.252
0.022
Analysis of Va