Focus Points
Compute the probability of standardized
events.
Find a z score from a given normal probability
(inverse normal).
Use the inverse normal to solve guarantee
problems.
3
Normal Distribution Areas
4
Normal Distribution Areas
In many applied situa
Focus Points
Given and , convert raw data to z scores.
Given and , convert z scores to raw data.
Graph the standard normal distribution, and find
areas under the standard normal curve.
3
z Scores and Raw Scores
4
z Scores and Raw Scores
Normal distributio
Graphs of Normal Probability Distributions
One of the most important examples of a continuous
probability distribution is the normal distribution.
This distribution was studied by the French mathematician
Abraham de Moivre (16671754) and later by the Germ
Introduction
For instance, if we want to do a study about the people who
have climbed Mt. Everest, then the individuals in the study
are all people who have actually made it to the summit.
1
Introduction
One variable might be the height of such individual
How to describe the distribution:
- Frequency/Relative frequency of data/Percentile
- Measures of central tendency
(Where is the middle of the data?)
- Measures of dispersion
(How dispersed is data?)
Frequency Tables
2
Definition: For each possible value
Measures of Variation
An average is an attempt to summarize a set of data using
just one number. As some of our examples have shown, an
average taken by itself may not always be very meaningful.
We need a statistical cross-reference that measures the
spre
Focus Points
Review such commonly used terms as random
sample, relative frequency, parameter, statistic,
and sampling distribution.
From raw data, construct a relative frequency
distribution for values and compare the result
to a theoretical sampling dist
Focus Points
Compute mean, median, and mode from raw
data.
Interpret what mean, median, and mode tell you.
Explain how mean, median, and mode can be
affected by extreme data values.
What is a trimmed mean? How do you compute
it?
Compute a weighted average
Percentiles and Box-and-Whisker Plots
Weve seen measures of central tendency and spread for a
set of data. The arithmetic mean x and the standard
deviation s will be very useful in later work.
However, because they each utilize every data value, they
can
Binomial Experiment
4
Focus Points
List the defining features of a binomial
experiment.
Compute binomial probabilities using the
formula P (r) = Cn,r prqn r
Use the binomial table to find P (r).
Use the binomial probability distribution to solve
real-worl
Graphing a Binomial Distribution
4
Focus Points
Make histograms for binomial distributions.
Compute and for a binomial distribution.
Compute the minimum number of trials n
needed to achieve a given probability of success
P (r).
3
Graphing a Binomial Distr
Antidumping: The Third
Rail of Trade Policy
N. Gregory Mankiw and Phillip L. Swagel
not fair
It did not take long for the newest class of U.S. senators to pledge
its allegiance to one of the few trade policies that politicians of both
parties overwhelming
Chapter 5
What Macroeconomics tries to explain
Economists-and society at large-agree on three important macroeconomic goals:
1.)economic growth
2.) full employment
3.) and stable prices
economic growth- the increase in our own production of goods and serv
Bernardo Ponte
Macro Notes
12/10/15
Chapter 14:
Demand for money is how much money people would like to hold, given the constraints that
they face
Wealth constraint is at any point in time, total wealth is fixed
A households quantity of money demanded
Prof. Joe Reimer
January 2014
Education 163b - Creativity and Caring: Educating for Mindful Engagement
Introduction
Creativity and caring are two significant human capacities that are not often thought of as
related. Creativity is often associated with a
Nationalism in the New World
IGS 10a
Chandler Rosenberger
Sebastabol, CA the world
encircled
United Nations
Opening ceremonies, London Olympics, 2012
Nationalism still a force today
http:/www.youtube.com/watch?v=reDdmPhkn
Henry VIII: First Nationalist
Mon
Universalisms and Imperialism
Chandler Rosenberger
IGS 10a
Universalism of Medieval
Christendom
Queen Isabella and King Ferdinand
Los Reyes Catolicos
Battle of Lepanto, 1571
Islamic Universalism of Ottoman
Empire
Globalizations of Christendom and
Islam we
Colonialism and Nationalism
in Asia and Africa
IGS 10a
Chandler Rosenberger
Empires legacy in global trade
Common language makes states 42
percent more likely to trade with one
another
Common currency makes states 114
percent more likely to trade
Former m
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 9
Due at the start of class, Tuesday, November 26
Please put the name of your assigned teaching assistant on your answer sheet.
1. Brandeistan is a country with no foreign trad
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 7
Due at the start of class, Tuesday, November 5
Please put the name of your assigned teaching assistant on your answer sheet.
1. Is the following statement True or False? With
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 3
Due at the start of class, Tuesday, October 1
Please put the name of your assigned teaching assistant on your answer sheet.
1. Hall and Lieberman, page 118, question 12.
2. H
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 6
Due at the start of class, Tuesday, October 29
Please put the name of your assigned teaching assistant on your answer sheet.
1. Which of the variables listed below are stock
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 5
Due at the start of class, Tuesday, October 22
Please put the name of your assigned teaching assistant on your answer sheet.
1. Consider the following annual data on U.S. GDP
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 4
Due at the start of class, Tuesday, October 8
Please put the name of your assigned teaching assistant on your answer sheet.
1. Just the Facts On September 6, the Bureau of La
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 2
Due at the start of class, Friday, September 20
Please answer all three questions. Please put the name of your assigned teaching assistant on
your answer sheet.
1. Technologi
Economics 20a
Introduction to Macroeconomics
Fall 2013
George Hall
Problem Set 1
Due at the start of class, Tuesday, September 10
Please put the name of your assigned teaching assistant on your answer sheet.
1. The renowned English economist and professor
The Price Level and Ination
1. Introduction
2. Index Numbers
3. The Consumer Price Index (CPI)
4. Computing the CPI
5. Computing the Ination Rate
6. Adjusting for Ination
7. Nominal and Real Interest Rates
8. Problems in Measuring Ination
9. CPI vs. the G
Supply and Demand
1. What is a Market?
2. The Demand Curve
Movement along the demand curve versus shifts in the demand
curve
3. The Supply Curve
Movement along the supply curve versus shifts in the supply
curve
4. Equilibrium of Supply and Demand
5. Lets
Measuring the Macroeconomy: GDP
1. Dening GDP
2. The Three Approaches to GDP
3. Real vs. Nominal GDP
4. What GDP does not measure
The Latest Numbers
On August 29, 2013, the Bureau of Economic Analysis announced
Current-dollar GDP the market value of the n