1. Suppose, hypothetically, that the rates of return of stocks in a certain category
have mean 3.2 and standard deviation 5.0. The units here are percents. Assume
that these rates of returns are approximately normally distributed.
(a) If you select one st
Based on a sample of 50 x-values having mean 35.36 and standard deviation 4.26,
(a)
test at the 0.05 level of significance the null hypothesis : = 34 versus
the alternative : 34.
(b)
find a 95% confidence interval for the population mean.'
(c)
determine i
MA200.2 Game Theory II, LSE
Problem Set 1
These questions will go over basic game-theoretic concepts and some applications. This
homework is due during class on week 4.
[1] In this problem (see Fudenberg-Tirole Ex. 1.1) you are asked to play with arbitrar
Chapter 4: Foundations for inference
OpenIntro Statistics, 3rd Edition
Slides developed by Mine C
etinkaya-Rundel of OpenIntro.
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Some images may be included under fair use guideline
Sampling
Distributions
An Overview of the Sampling Distributions of X and s 2
Ercan Karadas
New York University
[email protected]
Nov.12, 2015
Sampling
Distributions
Sampling Procedure
I
I
Sampling: selecting a sample of n objects at random from a
population.
Chapter 2: Probability
OpenIntro Statistics, 3rd Edition
Slides developed by Mine C
etinkaya-Rundel of OpenIntro.
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Some images may be included under fair use guidelines (educational
Chapter 3: Distributions of Random Variables
OpenIntro Statistics, 3rd Edition
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etinkaya-Rundel of OpenIntro.
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Some images may be included under fair use g
Chapter 1
1.
Some Hotels ask their guests to rate the hotels services as excellent, very good, good, and poor. This is an
example of the
a. Ordinal scale ordinal data is data in which the order or rank is meaningful.
2. Data obtained from a nominal scale
Chapter 7: Introduction to linear regression
OpenIntro Statistics, 3rd Edition
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etinkaya-Rundel of OpenIntro.
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Some images may be included under fair use g
52. Tomatoes.
a]
z=].22?
13
4%
T0
Z=v].?'5|
Tl
E=-l.'II5|
Tomato Weights
cfw_glam
Tomato Weights
cfw_grams
Accordmg to the
Normal model, the
standard deviation
of the weights of
Roma tomatoes now
being grmvnis 3.26
grams.
According to the
Inferences about Single Sample
Proportions and Means
Confidence Intervals
Estimating Proportions with Confidence
Thought Questions
1. A 95% confidence interval for the proportion of adults in
the U.S. who have diabetes extends from .07 to .11, or
7% to 11
Sampling Distribution Models
Central Limit Theorem
Thought Questions
1.
40% of large population disagree with new law.
In parts a and b, think about role of sample size.
a. If randomly sample 10 people, will exactly four
(40%) disagree with law? Surprised
Inferences about Single Sample Means
Hypothesis Testing
Hypotheses
Hypotheses are working models that we adopt temporarily.
Our starting hypothesis is called the null hypothesis.
The null hypothesis, that we denote by H0, specifies a
population model para
Recitation 9
Chapter 22
25. Gender gap A presidential candidate fears he has a problem with
women voters. His campaign staff plans to run a poll to assess the
situation. Theyll randomly sample 300 men and 300 women, asking if
they have a favorable impress
t]. CPMP and word problems.
Ha:ThenteanscoreotCPMPstudentsistbesanleastherneanscoreoi
traditionalstudents. (c=r or ,uCpT=D)
HA: The mean score of CPIVEP students is different from the mean score of
traditional students. [t is, or #6 ,J'T #0
Independent gr
Reasoning with Uncertainty
More about Hypothesis Testing
P-values, types of errors, power of a test
P-Values and Decisions
Your conclusion about any null hypothesis should be
accompanied by the P-value of the test.
If possible, it should also include a co
A Simple
Simulation
What is
Simulation?
The Main
Example
Simulation
Details
Results
A Simple Simulation Example using Excel
- A Preview of the Some of the Main Themes of the Course Ercan Karadas
New York University
[email protected]
September 22, 2015
A Simpl
Predictive analytics
Data mining
Census
Quantitative variable
Categorical variable
Observation
Descriptive statistics
Sample survey
Population
Data
The set of analytical techniques that use models
constructed from past data to predict the future or
assess
Midterm 2: Revision
Srijita Ghosh
April 3, 2015
Regression
Chapter 9,10
Chapter 9
Be careful about extrapolation, i.e estimating y for an extreme value
of x, dubious
Outliers: unusual point
leverage: x-value is far from mean
high residual
inuential:
HW#2 Solution
1.
(1) Ch5 Q20
(2) Ch6 Q16
(3) Ch6 Q44
(4) Ch7 Q40
(5) Ch8 Q40
(6) Ch8 Q42
2. (1)
According to the Normal model, we expect 68% of cars to get between 19 and 29 mpg,
95% of
HW#3 Solution
1. Ch9 Q12
2.
(a)
(b)
The linear model is not appropriate because the association is clearly curved in the
scatterplot. Also, the residuals plot shows a curved pattern, fur
On time
Not
Total
Moe
Day
90 90%
10 10%
100
Night
10 50%
10 50%
20
Total
100 83
20 17
120
On time
Not
Total
Jill
Day
19 95%
1 5%
20
Night
75 75%
25 25%
100
Total
94 78
26 22
120
Time variable is not independent
Time variable and punctuality highly depende
Ch. 4 - Discrete
Random
Variables and
Probability
Distributions
Leading
Example
Definitions
Leading
Example Again
Ch. 4 - Discrete Random Variables and Probability
Distributions
Binomial Model
Poisson Model
Linear Functions
of a Single r.v.
Joint
Distribu
Ch. 3 Counting and
Probability
Notes
Sample Space
Counting
Formulas
Basic Definitions
Ch. 3 - Basic Principles of Counting and Probability
Probability Rules
Conditional
Probability and
Independence
Review Example
Ercan Karadas
Bayes Theorem
New York Unive
41. Cereals.
a] He: There is no linear relationship between the number of calories and the
sodium content of cereals. (,6: = [1']
HA: There is a linear relationship between the number of calories and the sodium
content of cereals. (J31 #5 0')
nce these da
Chapter 18
13. Conclusions A catalog sales company promises to deliver orders placed on the Internet
within 3 days. Follow-up calls to a few randomly selected customers show that a 95%
confidence interval for the proportion of all orders that arrive on ti