ENGRD 2700, Spring `09
Prelim 2
Prelim 2 Solutions
Apr 9, 2009 Problem 1 (a) A right-skewed density function looks like this:
The right tail is longer, and the mass of the distribution is concentrated on the left of the figure. If an iid sample comes from
ENGRD 2700, Spring'09
Prelim 1 Solutions
Prelim 1 Solutions
Feb 19, 2009 Solution to Problem 1. Let us define the events D E := := The building gets an award for its design The building gets an award for environmental efficiency
We are given that P (D) P
Lest 4'"
Two 'Dwmn sc'onJ veil 1990 SAT Math and Verbal Scores for 51 States + DC.
550 1
o
C . . .
4! f .0
CU
2 0-. s".
2'500 . . 0
o '5:
U) . o . 0.:0 .
. . .9 .
450
0. °
400 450 500
SAT_Verb (a) ' (b)
(6)
Fig. 14.5 Scatter diagrams and their assoc
2.5 SUMMARY AND DISPLAY OF MULTIDIMENSIONAL DATA
2.5.1 2-Dimensional Data (X1 , Y1 ), (X2 , Y2 ), .(Xn , Yn )
eg X = height
Y = weight
X = SAT verbal Y = SAT math
Scatter plot. Plot Y versus X . Example: Devore p.448(7e), 470(8e)
(MINITAB: Graph Scatterpl
2.2 NUMERICAL SUMMARIES OF DATA FROM A SINGLE SAMPLE
Data X1 , X2 , ., Xn
a. Measures of location or center (Devore 7e, Sec.1.3)
Sample Mean
X=
1
n
n
Xi
center of gravity See Devore Fig. 1.14
i=1
Sample Median
X = middle X -value if n odd
half-way between
Chapter 1 INTRODUCTION
1.1 What is/are Statistics? Collection and analysis of data.
Statistics is ubiquitous.
1.2 Purposes: Descriptive versus Inferential Statistics
1.3 Populations, Samples and Variables
1.4 Statistics and Engineering
1
1.1 WHAT IS STATI
ENGRD 2700
Basic Engineering Probability
and Statistics
Lecture 17: More Condence
Intervals
Binomial proportions . . .
Prediction
Condence Intervals . . .
Title Page
David S. Matteson
School of Operations Research and Information Engineering
Rhodes Hall,
ENGRD 2700
Basic Engineering Probability
and Statistics
Lecture 16: Condence Intervals
David S. Matteson
Condence Intervals
Constructing
Normal means
Binomial
Title Page
School of Operations Research and Information Engineering
Rhodes Hall, Cornell Univer
ENGRD 2700 Basic Engineering Probability and Statistics Lecture 15: Point Estimation: Methods
David S. Matteson
School of Operations Research and Information Engineering Rhodes Hall, Cornell University Ithaca NY 14853 USA [email protected] March 23, 2009
ENGRD 2700 Basic Engineering Probability and Statistics Lecture 6: Independence; Random Variables and their Distributions
David S. Matteson
School of Operations Research and Information Engineering Rhodes Hall, Cornell University Ithaca NY 14853 USA
Indep
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