Statistics
Prof. Giuseppe Arbia
NYU  Spring 2012
V31.0018  006
nd
2 homework
nd
Thursday February, 2 2012
Answer each of the questions. Read the questions carefully and keep your answers brief and to the point. PLEASE WRITE
NEATLY.
Please leave your hom
Statistics
Prof. Giuseppe Arbia
NYU  Spring 2012
V31.0018  006
d
3rd homework
th
Thursday February, 9 2012
Answer each of the questions. Read the questions carefully and keep your answers brief and to the
point. PLEASE WRITE NEATLY.
Please leave your ho
Statistics
Prof. Giuseppe Arbia
4th homework
th
Thursday February, 16 2012
NYU  Spring 2012
V31.0018  006
Answer each of the questions. Read the questions carefully and keep your answers brief and to the
point. PLEASE WRITE NEATLY.
Please leave your hom
Statistics
Prof. Giuseppe Arbia
th
NYU  Spring 2012
V31.0018 001  006
5 homework
rd
Thursday February, 23 2012
Answer each of the questions. Read the questions carefully and keep your answers brief and to the
point. PLEASE WRITE NEATLY. Please leave you
Statistics
Prof. Giuseppe Arbia
th
NYU  Spring 2012
V31.0018 001 V31.0018  006
6 homework
st
Thursday March 1 2012
Answer each of the questions. Read the questions carefully and keep your answers brief and to the
point. PLEASE WRITE NEATLY.
Please leav
Statistics
Prof. Giuseppe Arbia
7th homework
th
MONDAY March 5 2012
NYU  Spring 2012
V31.0018 001/ V31.0018 006
Answer each of the questions. Read the questions carefully and keep your answers brief and to the
point.
NOTICE THAT YOU DO NOT HAVE TO HAND T
Statistics
Prof. Giuseppe Arbia
NYU  Spring 2012
V31.0018 001/ V31.0018 006
th
8 homework
nd
Thursday March 22 2012
Answer each of the questions. Read the questions carefully and keep your answers brief and to the
point. PLEASE WRITE NEATLY.
Please leave
Statistics
Prof Giuseppe Arbia
NYU  Spring 2012
V31 0018 001/ V31 0018 006
th
9 homework
th
Thursday March 29 2012
Answer each of the questions Read the questions carefully and keep your answers brief and to the
point PLEASE WRITE NEATLY
Please leave you
Statistics
Prof Giuseppe Arbia
10th homework
th
Thursday April 5 2012
NYU  Spring 2012
V31 0018 001/ V31 0018 006
Answer each of the questions Read the questions carefully and keep your answers brief and to the
point PLEASE WRITE NEATLY
Please leave your
Statistics V3100018.001006
Solutions to homework 7
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
Ques%on1Abreweryhasabeerdispensingmachinethatpoursbeerinto
thecompanys12ouncebo8les.Thedistribu<onoftheamountofbeer
actuallydispens
Solutions to Problem Set 5
February 28, 2012
Problem 1
a.
There are 24 possible outcomes. (writing down all of them are time consuming and are omitted here.)
b.
easy
c.
P (A) = 2 ( 1 )4 = 0.125
2
P (B ) = (4) ( 1 )4 = 0.25
1
2
P (C ) = 1 P (C c ) = 1 (4)
Solutions to Problem Set 6
March 5, 2012
Problem 1
a.
E (X ) = N 1 xi p(xi ) = 9.
i=
b.
V (X ) = E (X 2 ) (E (X )2 ) = 104.7 81 = 23.7
Problem 2
In such experiment there are (2=615) possible pairs. Because we draw simultaneously and later on we only care
Statistics V3100018.006
UNIT 4 Variability and shape
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
Analytical instruments
A convenient way of summarizing in few
parameters the characteristics of a frequency
distribution.
2
Three
Statistics V3100018.001
UNIT 5 Bivariate statistics: tables,
graphs, analytical measures
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
Bivariate statistics (two
variables at a time)
We distinguish:


When both are scale (quanti
Statistics V3100018.001V3100018.006
UNIT 6 Bivariate analytical tools:
regression
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
The correlation coefficient indicates the
presence of a certain degree of linear
dependence
(that is
Statistics V3100018.006
UNIT 7 Probability
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
Statistical inference
POPULATION
Universal
Deduction
Induction
Particular
Sample
2
The problem of statistical inference
So far we have consi
Statistics V3100018.00118.006
UNIT 8 Discrete random variables
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
This week:
Usual schedule.
Homework 6 posted on thurdays, due back on
Tuesday
Next week:
Homework 7 will be posted on Mon
Statistics V3100018.001
UNIT 9 Continuous random variables
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
In the discrete random variables all the
characteristics are contained in the probability
function f(x) for each value x of
Statistics V3100018.001
UNIT 10 Sampling and sampling
distributions
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
STATISTICAL INFERENCE
The second part of the course is
entirely devoted to introducing
statistical inferential proc
Statistics V3100018.001
UNIT 11 Interval estimation
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
In statistical inference we
distinguish 3 problems
1. Point estimation (unit 10)
2. Confidence intervals (this unit)
3. Hypothesis
Statistics
Prof. Giuseppe Arbia
NYU  Spring 2012
V31.0018  006
st
1 homework
th
Thursday January, 26 2012
Answer each of the questions. Read the questions carefully and keep your answers brief and to the
point. PLEASE WRITE NEATLY.
Please leave your hom
Statistics V3100018.001
UNIT 3 Analytical synthesis
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
1
Analytical tools
A convenient way to summarize in
few parameters the main features
of frequency distributions
2
A frequency distrib
Statistics V3100018.001
UNIT 2 Tables and Charts
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
Population and
sample
25/01/12
2
A deductive exercise to start
Suppose that we have an urn that contains 6 balls each
numbered progressi
Statistics
Statistics V3100018.006
UNIT 1
Giuseppe Arbia, Catholic University of the Sacred Hearth,
Roma, Italy
04/05/12
1
Introductory remarks
Why are you here?
To learn the statistical method
04/05/12
2
Introductory remarks
Centers on the 2002 Oakland A