Dr. M. Dettling
Summer 2011
Exam Applied Statistical Regression
Approved:
Tables:
Note:
Any written material, calculator (without communication facility).
Attached.
All tests have to be done at the 5%-level.
If the question concerns the significance of a

Section 3-2
3-14.
f X (0) = P ( X = 0) = 1/ 6 + 1/ 6 = 1/ 3
f X (1.5) = P ( X = 1.5) = 1/ 3
f X (2) = 1/ 6
f X (3) = 1/ 6
a) P(X = 2) = 1/6
b) P(0.6 < X < 2.7) = P(X = 1.5) +P(X = 2) = 1/3 + 1/6 = 1/2
c) P(X > 3) = 0
d) P (0 X < 2) = P ( X = 0) + P ( X =

Applied Statistics and Probability for Engineers, 5th edition
18 January 2010
CHAPTER 5
Section 5-1
5-1.
First, f(x,y) 0. Let R denote the range of (X,Y).
Then,
f ( x, y ) =
1
4
+ 18 + 14 + 14 + 18 = 1
R
a) P(X < 2.5, Y < 3) = f(1.5,2)+f(1,1) = 1/8+1/4=3

Applied Statistics and Probability for Engineers, 5th edition
February 23, 2010
0.8
0.7
0.6
0.5
y
0.4
0.3
0.2
0.1
0
-50
0
50
100
x
b) y = 0.32999 + 0.00416(85) = 0.6836
c) y = 0.32999 + 0.00416(90) = 0.7044
d) 1 = 0.00416
11-3
a)
Regression Analysis: Rati

Applied Statistics and Probability for Engineers, 5th edition
d)
e)
2-20.
a)
2-3
15 January 2010
Applied Statistics and Probability for Engineers, 5th edition
b)
c)
d)
e)
2-4
15 January 2010
Applied Statistics and Probability for Engineers, 5th edition
15

Applied Statistics and Probability for Engineers, 5th edition
06 February 2010
&+$37(5
Section 6-1
6-1.
6-2.
6-3.
6-4.
6-5.
6-6.
6-7.
No, usually not. For example if the sample is cfw_2, 3 the mean is 2.5 which is not an observation in the
sample.
No, it

By Kaizen Team
Applied Statistics and Probability for Engineers, 5th edition
15 January 2010
8
3x 2 x3
3(8 x x 2 )
27 27
dx =
d) P( X > 6) =
= (3 2) = 0.1563
256
16 32
64 256 6
6
8
x
3u 2 u 3
3x 2 x3
3(8u u 2 )
du =
=
e) P( X < x) =
0 = 0

Applied Statistics and Probability for Engineers, 5th edition
10 February 2010
CHAPTER 7
Section 7-2
7-1.
The proportion of arrivals for chest pain is 8 among 103 total arrivals. The proportion = 8/103.
7-2.
The proportion is 10/80 =1/8.
7-3.
P(2.560 X 2.

Applied Statistics and Probability for Engineers, 5th edition
March 15, 2010
CHAPTER 10
Section 10-2
10-1 a) 1) The parameter of interest is the difference in means 1 2 . Note that 0 = 0.
2) H0 : 1 2 = 0 or 1 = 2
3) H1 : 1 2 0 or 1 2
4) The test statistic

Applied Statistics and Probability for Engineers, 5th edition
February 22, 2010
MODEL 1
y = 132 + 2 x
160
140
120
100
80
60
40
20
0
y
y = 108 + 2 x
0
2
4
6
8
10
x
MODEL 2
y = 119 + 17.5 x
350
300
250
200
y 150
y = 101 + 5.5 x
100
50
0
0
2
4
6
8
10
12
x
Th

Applied Statistics and Probability for Engineers, 5th edition
March 23, 2010
CHAPTER 14
Section 14-3
a) 1. H 0 : 1 = 2 = 0
14-1
H1 : at least one i 0
2. H 0 : 1 = 2 = 3 = 0
H1 : at least one j 0
b) Analysis of Variance for current
Source
DF
SS
MS
F
P
glas

Applied Statistics and Probability for Engineers, 5th edition
March 23, 2010
One-way ANOVA: DC, DC-MK, MC
Source
DF
SS
MS
F
P
93.58
0.000
Factor
2
1952.6
976.3
Error
33
344.3
10.4
Total
35
2296.9
S = 3.230
R-Sq = 85.01%
R-Sq(adj) = 84.10%
Because the P-va

Applied Statistics and Probability for Engineers, 5th edition
d) 99% CI for ,
10 February 2010
n = 25, = 25 x = 1000, z = 2.58
x z / n x + z / n
1000 2.58(25 / 25) 1000 + 2.58(25 / 25)
987.1 1012.9
e) When n is larger, the CI is narrower. The higher the c

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DEPARTMENT OF MATHEMATICS
UNIVERSITY OF MARYLAND
GRADUATE WRITTEN EXAMINATION
AUGUST 2011
Applied Statistics (PhiDi Version)
Instructions to the Student
a Answer any six questions Each will be graded fr om O to 10‘.
by Use a different booklet for each que

Question Paper Code : 13649 _
M.E./M.Tech‘. DEGREE EXAMINATION, NOVEMBERJDECEMBER 2014.
First Semester
Computer Science and Engineering
MA 7155 — APPLIED PROBABILITY AND STATISTICS
(Common to ME. Industrial Engineering, M.E. Software Engineering,
ME. Comp

Yarmouk University
Hijjawi Faculty for Engineering Technology
Department of Industrial Engineering
i)
A study was carried out to relate sales revenue y (in thousands of dollars) to advertising
expenditure x (also' in thousands 0 ‘dollars) for natural food

Answers to a 2008 Applied Statistics Comprehensive Exam Question
From the University of Toronto PhD Comprehensive Exam in Applied Statistics, 2008.
Written by Radford Neal.
Note: All the data in this question is fictitious, produced by a simulation progra

Suppose X and Y are
jointly
distributed rancloni variables with joint density
function
f
c(x+y
)
2
0
:Ox,y1
: otherwise
(a) Compute c so that f(x, y) is a valid joint density function.
[1
3)
(b) Compute the probability that X + Y> .5.
I
1
2
+-t4)
?(hi
ci

Exam 3 Version 1 - PHYS/ENVS 3070 Spring 2009
11/18/09 6:26 PM
Exam 3 Version 1 - PHYS/ENVS 3070 Spring 2009
Problem 1 (12 pts total; 3 pts each part): Circle the most correct answer.
Part 1) Of all the world's nuclear power plants, how many use fusion re

1. Suppose X and Y are jointly distributed random variables with joint density
function
(
c(x + y 2 ) : 0 x, y 1
f (x, y) =
0
: otherwise
(a) Compute c so that f (x, y) is a valid joint density function.
(b) Compute the probability that X + Y > .5.
(c) Co

Name _
Spring 2015
Applied Statistics Comprehensive Examination
Statistical Methods I & II
Calculators are permitted on this part of the examination.
When you are asked to construct confidence intervals, always interpret the intervals in
terms of the prob

EXAMINATIONS OF THE ROYAL STATISTICAL SOCIETY
HIGHER CERTIFICATE IN STATISTICS, 2014
MODULE 4 : Linear models
Time allowed: One and a half hours
Candidates should answer THREE questions.
Each question carries 20 marks.
The number of marks allotted for eac

THE ROYAL STATISTICAL SOCIETY
2010 EXAMINATIONS SOLUTIONS
ORDINARY CERTIFICATE
PAPER II
The Society provides these solutions to assist candidates preparing for the
examinations in future years and for the information of any other persons using the
examina

EXAMINATIONS OF THE ROYAL STATISTICAL SOCIETY
HIGHER CERTIFICATE IN STATISTICS, 2010
MODULE 4 : Linear models
Time allowed: One and a half hours
Candidates should answer THREE questions.
Each question carries 20 marks.
The number of marks allotted for eac

THE ROYAL STATISTICAL SOCIETY
2010 EXAMINATIONS SOLUTIONS
HIGHER CERTIFICATE
MODULE 4
LINEAR MODELS
The Society provides these solutions to assist candidates preparing for the
examinations in future years and for the information of any other persons using

EXAMINATIONS OF THE ROYAL STATISTICAL SOCIETY
HIGHER CERTIFICATE IN STATISTICS, 2015
MODULE 2 : Probability models
Time allowed: One and a half hours
Candidates should answer THREE questions.
Each question carries 20 marks.
The number of marks allotted fo