STAT 2593
Fall 2009
Assignment 8
(Due in class on Friday, Nov. 20 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer
Common Errors Associated with
Data Information
sampling errors
coverage errors
response errors
non-response errors
processing errors
estimation errors
analysis errors
Exercises
Determine which of the following statements are
reliable. Using your kn
STAT 2593
Fall 2009
Assignment 4
(Due in class on Friday, Oct. 16 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer
2
V T o =n
st.dev T o = n
Proposition:letx1xnbearandomsamplefromanormaldistributionwithmean
andstd.dev .Thenforanyn(largeorsmall),barxisnormallydistributedwith
meannandstddev
.Similarly,Toisnormalwithmean n andst.dev n .
n
Thetimethatittakesarandomlys
STAT 2593
Fall 2009
Solutions to Assignment 1
(Due in class on Friday, Sept. 25 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a nu
STAT 2593
Fall 2009
Assignment 5
(Due in class on Friday, Oct. 23 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer
= E x 1 0.5 E x 2 0.5 E x 3
note: a 1=1 , a 2=0.5 , a3 =0.5
= 60 0.560 0.560
=0
2
2
2
v(y)= 1 v x 1 0.5 v x 2 0.5 v x 3
= v x 1 0.25 v x 2 0.25v x 3
22.5
st.dev(y)= 22.5=4.7434
10 0
50
P10y5 p
z
4.7434
4.7434
= P211z1.05
= P z1.05 P z2.11=0.8352
Mid
=
2
s 21 s22
m n
2
2
s12
s 22
m
n
m1 n1
March31st,2010
Section9.2:
Example:Thevoidvolumewithinatextilefactoryaffectscomfort,flammability,andinsulation
properties.Permeabilityofafactoryreferstotheaccessibilityofvoidspacetotheflowofairorliquid.
Thefol
2
x1,x2,xnfromapopulationwithmean andvariance
2
y1,y2,ynfrompopulationwithmean 2 andvariance 2 xandysamplesareindependent
Ho:
1=2
12=0
120 or
Ha: 120 or
120
x y 12 o
z=
21 22
m n
2
2
Assumingboth 1 and 2 areknown.
Example9.1:
m=20
n=25
x =29.8 ksi
y
Exactly1of2newspapers?
P AP B2P A B=0.600.8020.5=0.4
EquallyLikelyOutcomes:
Example:
Therouteusedbyacertainmotoristincommutingtoworkcontainstwointersectionswith
trafficsignals.
Theprobabilitythathemuststopatthefirstsignalis0.4.Theanalogousprobabilityf
P(6)=1/6
total=1,thereforepmf
January22,2010
CumulativedistributionFunction(CDF)
F(x)=P(X<=x)
Section3.3
Expectedvalueofx
E(x)=mean=
E(y)=E(20+3x+0.5x2)=E(20)+E(x)+0.5*E(x2)
varianceof x= 2
V x=F x 2 E x2
V a x =a 2 V x
January25th,2010
Section3.4Bino
Name_
Student Number_
Section_
Fall 2009
STAT 2593 MIDTERM
7:00-8:00pm, 28 October, 2009
INSTRUCTIONS
1. Time Allowed: 1 hour.
2. Answer all questions.
3. Make sure that your examination paper has 20 questions (one point each).
4. You may use calculator a
STAT 2593
Fall 2009
Assignment 7
(Due in class on Friday, Nov. 13 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer
STAT 2593
Fall 2009
Solutions to Assignment 4
(Due in class on Friday, Oct. 16 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a num
STAT 2593
Fall 2009
Solutions to Assignment 3
(Due in class on Friday, Oct. 9 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a nume
STAT 2593
Fall 2009
Solutions to Assignment 2
(Due in class on Friday, Oct. 2 2009)
Note: The following problems might be solved in quite a few different, but correct ways. It is
very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not merely a
nume
STAT 2593
Fall 2009
Assignment 2
(Due in class on Friday, Oct. 2 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer.
STAT 2593
Fall 2009
Assignment 7
(Due in class on Friday, Nov. 13 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer
STAT 2593
Fall 2009
Assignment 3
(Due in class on Friday, Oct. 9 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer.
STAT 2593
Fall 2009
Assignment 8
(Due in class on Friday, Nov. 20 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answer
Letxdenotethenumberofanimalsofaparticulartypecapturedinatrapdurinjga
giventimeperiod.SupposexhasPoissondistributionwithlambda=45.Whatisthe
probabilitythatinthesametimeperiodwewillcapture:
exactly5animals
e45 45 x
p x =
x!
e45 455
p x=5=
=0.1708
5!
atm
STAT 2593
Fall 2009
Assignment 1
(Due in class on Friday, Sept. 25 2009)
Note: The following problems might be solved in quite a few different, but correct ways.
It is very IMPORTANT that you WRITE DOWN YOUR ARGUMENTS as well, not
merely a numerical answe
fordiscretecase, =E x = x P x
forcontinuouscase: =E x = x f x dx
f(x)=3/2*(1x^2)for0<=x<=1,otherwise0
1
3
=E x = x f x dx= x 1 x 2 dx=3 /8
2
0
2
E x = x 2 f x dx
Example
3
1
E x 2 = 1 x 2 1x 2 dx=
2
5
whydoweneedE(x^2)?
2 =E x 2 E x2
standarddeviation
butinaspecialcase
P AB= P A P BA
P A B=P A P B
Thisspecialcaseis: P BA=P B AandBaremutuallyexclusive
Example:Considertossingafairsixsideddieonceanddefineevents.
S=cfw_1,2,3,4,5,6
A=cfw_2,4,6
B=cfw_1,2,3
C=cfw_1,2,3,4
P(A)=
P(B)=
P(C)=2/3
1
P A B=
z=
p po
p o 1 p o
n
=0.05
, p =samplepopulation=
x
n
Example:
RecentinformationsuggeststhatobesityisanincreasingprobleminAmericaamongallagegroups.
TheAP(associatedpress)reportedthat1276individualsinasampleof4115adultswerefoundtobe
obese.A1998surveybased