C SESSION-1
PROBABILITY
DISTRIBUTIONS
7/25/16
1
The Normal Distribution
7/25/16
2
The Normal Distribution
Normal Distribution Basics
Properties of the Normal
Distribution
The Standard Normal Distribution
The Transformation of Normal
Random Variables
The I

1
Business Statistics
Sampling and Sampling Distributions
1
Indian Institute of Foreign Trade
Learning Objectives
In this session, you learn:
The concept of the sampling
Important terminology
The concept of probability and non-probability
sampling
Importa

Business Statistics
Sampling
Dr. Prabir K. Das
Indian Institute of Foreign Trade
1
Random Samples
A random sample of size n from a
population f(x) is a collection of n
independent random variables X1, X2,
, Xn each having the distribution f(x).
Probabili

Introduction to
Hypothesis Testing
Nonstatistical Hypothesis Testing
A criminal trial is an example of Hypothesis testing without
Statistics.
In a trial, a jury must decide between two hypotheses. The null
hypothesis is
H0: The defendant is innocent
The a

LEARNING OBJECTIVES
Learn the reasons for sampling
Develop
an understanding
sampling methods
about
different
Distinguish between probability & non probability
sampling
Discuss the relative advantages & disadvantages
of each sampling methods
1
SAMPLING

Discrete Distributions
&
Continuous Distributions
Dr. P K Das
Indian Institute of Foreign Trade
Learning Objectives
Distinguish between discrete random
variables and continuous random variables.
Know how to determine the mean and
variance of a discrete

Business Statistics
Inference About Comparing
Two Populations
Comparing Two Populations
Previously we looked at techniques to estimate and test
parameters for one population:
Population Mean
Population Proportion
We will still consider these parameters

BUSINESS STATISTICS
Graphical Representation of Data
Dr. Prabir K. Das
Indian Institute of Foreign Trade
COMMON STATISTICAL GRAPHS
Bar chart
Histogram - vertical bar chart of frequencies
Frequency Polygon - line graph of frequencies
Ogive - line graph of

Only for internal circulation among IIFT MBA students
Assignment
Business Statistics
MBA(IB) 2016-18
Case Study: Layton Tire and Rubber Company
Layton Tire and Rubber Company wishes to set a minimum mileage guarantee on its new
MX100 tire. Tests reveal th

Why nonparametric methods What test to use ? Rank Tests
Parametric and non-parametric statistical methods
for the life sciences - Session I
Liesbeth Bruckers
Geert Molenberghs
Interuniversity Institute for Biostatistics and statistical
Bioinformatics (I-B

SESSIONS 15 & 16
TIME SERIES
ANALYSIS
Time Series Analysis
Components of a Time Series
Multiplicative and Additive Models
Seasonality and Cyclical Behavior
Moving Averages as a Method for
Smoothing of a Series
Exponential Smoothing Methods
The Ratio-to-Mo

SESSION 3
DATA COLLECTION, ANALYSIS AND PRESENTATION
11/6/16
1
DESCRIPTIVE STATISTICS
Measures
of Central Tendency
Measures of Variability
Differentiate between sample and
population variance and standard
deviation.
Coefficient of Variation
Understand the

Case Study
IDENTIFYING INTERNATIONAL MARKETING
OPPORTUNITIES IN MEDICAL SERVICES
Question-1
Factors Contributing to Rise of International Markets for Medical Tourism
Lower Cost:
Most of the treatments in developing countries cost lower than
they cost in d

Close
Why Big Data and Where Did it Come From?
19 questions
Passed
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Failed
13.5/19 points earned (70%)
Quiz passed!
You haven't passed yet. You need at least 80% to pass.
Review the material and try again! You have 3 attempts every 8

BARBIE FACES THE
ISLAMIC DOLLS
Group-3
Aditya Sagar (6A)
Aishwarya Jain (8A)
Kaushal Mahajan (25A)
Ramneek Singh (41A)
Shreya Chhabra (49A)
Explore the secret of Barbies success that made it the dream toy for girls
across the world.
Young girls enjoyed p

INTERNATIONAL COMMERCIAL
TERMS
International Commercial Terms
History
Initially created in 1936 by the International Chamber of Commerce (ICC) and
have been periodically revised (Incoterms 2010 is the 8 th revision)
Incoterms are generally good for approx

Random Variable and
Expectation
Dr. Prabir K. Das
Indian Institute of Foreign Trade
Random Variable
A random variable X is a numerical (real) valued
function defined on a sample space, which maps
sample space on to the real line.
A number X (e), providi

Inference About A Population
Testing a single mean when population
standard deviation is not known
Inference About A Population
Population
Sample
Inference
Statistic
Parameter
We will develop techniques to estimate and test three
population parameters:
Po

Introduction to Estimation
Where we have been
Binomial, Poisson, normal, and exponential distributions
allow us to make probability statements about X (a member
of the population).
To do so we need the population parameters.
Binomial: p
Poisson:
Normal:

SESSION-5
Random Variables
Dr. Saswati
IIFT
Random Variables
Concept of random variable &
probability distribution of a
random variable
Discrete and continuous Random
Variables
Expected Values of Discrete
Random Variables
Variance, Standard Deviation &
Co

SESSION- 12
ANALYSIS OF
VARIANCE
29/8/2014
1
ANALYSIS OF VARIANCE
ANOVA basics
ANOVA one way classification
The Theory and Computations of
ANOVA
The ANOVA Table and Examples
The Hypothesis Test of Analysis of
Variance
LEARNING OBJECTIVES
After studying th

SESSION-4
CONFIDENCE INTERVAL
ESTIMATION
CONFIDENCE INTERVAL
ESTIMATION
Estimators and Their Properties
Confidence Interval for the Population
Mean When the Population Standard
Deviation is Known
Confidence Intervals for When is
Unknown - The t Distributi

SESSION-4
PROBABILITY
BASIC
Probability
Basic Definitions
Basic Rules for Probability
Conditional Probability
Independence of Events
Multiplication rule
The Law of Total Probability and
Bayes Theorem
OBJECTIVES
After this session, you should be able to:
D

C SESSION-2
SAMPLING
DISTRIBUTIONS
7/25/16
1
Sampling Distributions
Concept Of Sampling
Special sampling methods
Sampling Distributions
Sampling Distributions of Mean from Normal
Population
Sampling Distributions of Mean from Non
Normal Population- Centra

SESSION-8
HYPOTHESIS TESTING
(ONE SAMPLE TEST)
Hypothesis
Testing
Test of Mean of normal
distribution (Population
variance known)
Test of Mean of Normal
Distribution (Population
variance unknown)
Test of Population Proportion
Hypothesis Test of Population

SESSION-7
HYPOTHESIS TESTING
(ONE SAMPLE TEST)
Hypothesis
Testing
Concept of Hypothesis Testing
Null and alternative hypotheses
Type-I error & Type-II error
Critical value of test statistics
Regions of rejection and non-rejection
Significance level & powe

SESSIONS-5 & 6
CONFIDENCE
INTERVAL ESTIMATION
CONFIDENCE INTERVAL
ESTIMATION
Estimators and Their Properties
Confidence Interval for the Population
Mean When the Population Standard
Deviation is Known
Confidence Intervals for When is
Unknown - The t Distr

SESSION-9
HYPOTHESIS
TESTING
(TWO SAMPLE TEST)
Comparison of Two Populations
COMPARISON OF TWO POPULATIONS
Comparison of Means of two Independent
Population
Z Test for the Difference between two Means
Pooled-Variance t Test for the Difference
between two

SESSION 3
DATA COLLECTION, ANALYSIS AND PRESENTATION
7/25/16
1
DESCRIPTIVE STATISTICS
Measures
of Central Tendency
Measures of Variability
Differentiate between sample and
population variance and standard
deviation.
Coefficient of Variation
Understand the

SESSION 2
DATA COLLECTION, ANALYSIS AND PRESENTATION
7/25/16
1
DESCRIPTIVE STATISTICS
Meaning
& examples of Raw Data
Visualizing Categorical Data By
Using Graphical Displays
Bar Chart, Pie Chart, Pareto Chart
Construct a frequency distribution
Visualizing