1. Fueleconomy.gov, the official US government source for fuel economy information, allows
users to share gas mileage information on their vehicles. The histogram below shows the
distribution of gas mileage in miles per gallon (MPG) from 14 users who driv
Probability Models and Inference for the Social Sciences
cfw_ECON, ILRST, STSCI 3110
Fall 2014
Instructor
Martin T. Wells <mtw1@cornell.edu>, 1190 Comstock Hall
TAs
Daniel Gilbert deg257@cornell.edu
Sarah Tan
ht395@cornell.edu
Lecture
Labs
MW 01:25PM - 02
8/31/2014
Course Web Pages
Probability Models and Inference for the
Social Sciences
cfw_ECON, ILRST, STSCI 3110
Fall 2014
Syllabus,
general administrative information (e.g.,
book, various course policies, and so on); lecture
notes; homework assignments;
Hypothesis Testing
Read: Chapter 8
Example: Hazardous Waste Remediation
DOE policy mandates remediation of
a tank if the average radioactivity
exceeds 100 rems.
Old Question:
Obtain a 95% CI for the mean tank
radioactivity level (in rems).
New Question:
D
STATISTICS 428
SOLUTIONS FOR HOMEWORK 2
Section 6.2:
21. a. E(X)=
(1+
1
) and E(X2)=var(X)+[E(X)]2=
are the solution to X
estimators and
1
n
Xi
X
2 (1+ 2 ). Thus
2
2
2
(1+
), so the moment
1
),
, so once has been determined
1
)
(1
(1+
1
1
) is evaluate
Confidence
Intervals
Read: Chapter 7
Now our goal is to use information from the sample
and our knowledge of sampling distributions to
establish:
a confidence interval, a range of plausible values for
a (population) parameter, based on the information
obt
1. Write the null and alternative hypotheses in words and then symbols for each of the
following situations.
(a) New York is known as the city that never sleeps". A random sample of 25 New Yorkers were
asked how much sleep they get per night. Do these dat
NAME: SOLUTION to Midterm II_ STAT 427 Prof. Goel Midterm II Spring, 2007 MWF 9:30 - 10.20
Problem 1. [10 points] A gas station has two islands: Island #1 has six pumps, and Island #2 has four pumps. Let the random variables X and Y denote: X = number of
1. Average income varies from one region of the country to another, and it often reflects both
lifestyles and regional living expenses. Suppose a new graduate is considering a job in two
locations, Cleveland, OH and Sacramento, CA, and he wants to see whe
Engineering 323 Brown
Beautiful HW #13 Problem 5-12
Page 1 of 6
5.12 Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y:
xe x (1+ y ) f ( x, y ) = 0
x 0 and y 0 otherwise
a. What is the probability that the l
STATISTICAL REVIEW
Homework Set 4 Solution
Question 1:
Let \ denote the proportion of allotted time that a randomly selected student
spends working on a certain aptitude test. Suppose the pdf of \ is
) "B)
0 Bl)
!
!B"
otherwise
where ) ". A random sample
Chapter 6 Homework Solutions
Problem 6.6
Consider the accompanying observations on stream ow (1000s of acre-feet)
recorded at a station in Colorado for the period April 1 August 31 over a
31-year span (from an article in the 1974 volume of Water Resources
22.
The accompanying data describe flexural strength (Mpa) for concrete beams of a certain type was
introduced in Example 1.2.
9.2
6.9
8.6
8.8
a.
b.
c.
9.7
8.2
7.8
8.7
8.8
8.3
7.5
12.6
10.7
7.3
8.0
12.3
8.4
9.1
7.3
12.8
8.7
7.8
8.9
11.7
10.7
8.0
10.0
Calc
Estimation
Read: Chapter 6
POINT ESTIMATION
Properties of estimators
Finite sample size
Asymptotic properties
Construction methods
Method of moments
Maximum likelihood estimation
2
STATISTICAL INFERENCE
Parameter Space ( ): The set of all possible
values
STAT 2507
Solution Assignment # 3
Due: July 22, 2013, prior to the start of class
Summer 2013
Total mark=100
1. Standardization procedure: Generate and store in column c4 10,000 values from
the normal distribution with = 6.5 and = 3 as follows:
random 100