Xuwenxiao Zhou
Zhihan Lin
Professor Greco
QM222 H1
04/06/2016
Data Analysis
I. Introduction
Along with the development of civilization, an increasing number of people have become aware
of the importance of gender equality. Many companies have worked on ge
Movie Name
Studio
Opening Gross
Opening Theaters
Lifetime Gross
Lifetime Theaters
Year
Month
Day
Budget
Metascore
MPAA Rating[1]
Sex & Nudity[2]
Violence & Gore[3]
Profanity[4]
Name of the movie
The Distributor / Studio of the Movie
The total gross revenu
QM222 Project: Wage Setting and Discrimination
Summer 2017
QM222 Project: Salary and Discrimination
This project has two parts. Part A is due on Monday June 12 th. Part B is due on Friday June 23rd.
http:/www.nytimes.com/2014/11/15/business/keepingavigi
Int/Dom
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I
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MAIN
BASE SALARY CONCENTRATION
$85,000 FE
$85,000 FE
$85,000 FE
$85,000 FE
$85,000 FE
$85,000 FE
$85,000 FE/ACC
$85,000 FE/ACC
$85,000 FE/ACC
$80,000 FE
$80,000
EC507 PS2 Solution
1 a)False.
A contradicting example:
Let A=cfw_1, B=cfw_1 and C=cfw_1, then
However,
and
and
.
1
.
b) False.
:
A contradicting example:
Let A=cfw_1,2, B=cfw_1,2,3 and C=cfw_0,1, then
However,
and
.
, thus
2. a) P(A B)=P(A)+P(B)P(A B).
S
EC507 PS 7 Solution
1.(10) Since
By Markov Inequality
, we can use Markov Inequality.
and let
,
We get
2.(20) a. By Chebyshevs inequality
P(53.1<X<108.3)=1P(X80.7 27.6) 19.22/27.62=0.889
b.
c. By Chebyshevs inequality
we need
d. i.
ii. we need
3.(5)
EC507 PS6 Solution
1. (15)
(a)
(b)
Since they are independent for ij it is satisfied
Thus one can find that
Also note that for i=1,2,3
Therefore
(c) It is the same as finding the mean of
2. (10)
(a)Let X, Y, and Z denote the number of times the three men
EC507 A1: Statistics for Economists
Spring 2016
Problem Set 9 Solutions
1. (20)
a)
S2=
58.75
b) Because the R.V are normal, a 98% CI is (
)
c) Recall that
A 98% CI for the variance is
(
) where
Therefore the CI is (
, 176.65
d) you need it for part b) and
Hypothesis Testing Solution PS10
1. H0:
H1:
n=15
a)
=P(
=P(
= P(
=1P(
=10.9015=0.0985
b)

=p(
=P(
= P(
=0.3897
c)

=p(
=P(
= P(
=0.7019
d) For
0.01=p(X
= p(
=p(
)
Hence
In a similar way, if
e) When
RR:
For p=0.7
, find k from

=p(
=P(
= P(
=0.80
When
EC507 PS4 Solution
1. (a) We have 5 men and 5 women who are ranked according to their scores on an exam, where no
two scores are alike and all 10! possible rankings are equally likely. Let X denote the highest
ranking achieved by a woman. Clearly, since 6
EC507 A1: Statistics for Economists
Fall 2014
Problem Set 8 Solution
1. [10']
a. All the estimators are unbiased.
b. is relatively more efficient since it uses more information than any other unbiased estimators.
2.[10']
a. Write likelihood function
. So
EC 507 PS3 Solution
1. The files are removed with replacement, thus, there is 3/5 probability to draw a red
file and 2/5 probability to draw a blue file. The first draw is independent from the
second draw.
(a) P(A) = P(red & red) + P(blue & blue) =
P(B) =
QM222 Modeling Business Decisions Spring 2016
BOSTON UNIVERSITY SCHOOL OF MANAGEMENT
QM222: Modeling Business Decisions
Spring 2016 Section H1
Rosalia Greco
Email: [email protected]
Office 652
Office Hrs: Wednesdays 11:00am12:00
QM 222 Schedule: Rosalia Greco
Date
Wednesday, January 20
Friday, January 22
Monday, January 25
Wednesday, January 27
Friday, January 29
Monday, February 1
Wednesday, February 3
Friday, February 5
Monday, February 8
Wednesday, February 10
Friday, February
1. (Hypothetical) A random sample of 1000 daily newspapers found that on average, each
edition contained 3.01 local crime stories per day, with a standard deviation of 2.65.
Answer the following questions assuming that the distribution of crime stories in