Homework 1 1. Let A = cfw_1, 2, 3, 4, a, b, c, B = cfw_1, 2, 5, 6, b, c, d, e, f , C = cfw_1, 2, a, d, g, h. (a) Is 1 A? Is cfw_1 A? Is cfw_1, 2 A? (b) Compute A B and A B. (c) Compute (A B) C and A (B C). Are they equal? (d) Show (A B) C = (A C) (B C) an
Statistical Methods (STAT 511)
Final, Spring 2011
3:20-5:20am, ME117
Saturday, May 7 2011
There are totally 36 points in the exam. The students with score higher than or equal to 33
points will receive 33 points. Please write down your name, student ID nu
Section 4.3: The Normal Distribution
1
Section 4.3 has the following concepts:
A probability density function P DF of a continuous random variable X has the property
P (X a) = F (a) =
a
f (x)dx,
where F (x) is the CDF of X .
If for < < and > 0
2
1
(x)
Statistical Methods (STAT 511)
Final, Spring 2011
3:20-5:20am, ME117
Saturday, May 7 2011
There are totally 36 points in the exam. The students with score higher than or equal to 33
points will receive 33 points. Please write down your name, student ID nu
Homework 1 1. Let A = cfw_1, 2, 3, 4, a, b, c, B = cfw_1, 2, 5, 6, b, c, d, e, f , C = cfw_1, 2, a, d, g, h. (a) Is 1 A? Is cfw_1 A? Is cfw_1, 2 A? (b) Compute A B and A B. (c) Compute (A B) C and A (B C). Are they equal? (d) Show (A B) C = (A C) (B C) an
Statistical Methods (STAT 511)
Midterm #1, Spring 2011
8:00-10:00pm, LWSN B155
Thursday, February 24, 2011
There are totally 27 points in the exam. The students with score higher than or equal to 25
points will receive 25 points. Please write down your na
Statistics 511-2
Final Examination
Monday, April 30, 2012
Name (please print) :_
Time: 2 hours
This exam is closed-book. You may not consult any notes or books during the exam.
Formula pages and distribution tables are provided. Calculators are permitted.
Name:
ANSWER
.
Statistics 511-2, Quiz 2
An electronics store has received a shipment of 20 table radios with connections for external
devices. Twelve of them have two connection slots, and the other eight have a single slot.
Suppose that six of the 20 rad
Homework 5 (15 pts + 1 Bonus)
due Oct. 7
(2 pts.) 4.6abcd (p.135). The actual tracking weight of a stereo cartridge that is set to track at 3 g
on a particular changer can be regarded as a continuous r.v. X with pdf
a) Sketch the graph of f(x).
1.2
1
0.8
Homework 7 (9 pts)
due Oct. 28
(1.5 pts.) 5.46 (p.218). The inside diameter of a randomly select piston ring is a random variable
with mean value 12 cm and standard deviation 0.04 cm.
a) If is the sample mean diameter for a random sample of n = 16 rings,
Homework 2 (15 pts)
due Sept. 2
(1.5 pts.) 1.48abc) If the observations were expressed in EU/g instead of EU/mg, what are the
resulting standard deviation and variance? Do not re-express the data. (p.39). Exercise 34
presented the following data on endoto
STAT 511
Fall 2011
STAT 511 Final Exam
Dec 15, 2011
Time: Two hours
Your Name (please print):
Section (please circle): section005 (1:30-2:45pm)
section008 (3:00-4:15pm)
Note:
Please write down your answers and all relevant calculations on the exam paper.
STAT 511-2 Midterm 2 Formula Sheet
n
Sample standard deviation (SD) s
Normal distribution Y ~ N(, )
y
P(Y y) P( Z z ), z
Exponential distribution pdf
,
E( )=
=, V( )=
=
and
yi y 2
i 1
n 1
n
y
i 1
2
i
ny 2
n 1
STAT 511-2
Final Exam
Formula Sheet
n
Sample mean y
y
i 1
n
i
y
n
n
Sample variance s 2
yi y 2
i 1
n 1
n
y
i 1
2
i
ny 2
n 1
n
Sample standard deviation (SD) s
Pk ,n
n!
,
(n k )!
yi y 2
i 1
n 1
n
n Pk ,n
n!
k k ! k !(n k )!
Binomial distribution
Name:
ANSWER
.
Date:_
Statistics 511-2, Quiz 5
(10)
th
In 1999, a geneticist studying human populations wished to examine heights of U.S. males during the 20
century. She discovered a paper written in 1902 which found that for a random sample of 75 adult
(10)
Statistics 511-2
Name:
Quiz 6
ANSWERS
In an experiment to study herbicide resistance in Arabidopsis, four different varieties of this plant were exposed
to the same herbicide while being grown in pots in a greenhouse. Several plants of each variety w
Statistics 511-2
Sample Questions for the Final Examination
Solutions
1. Short-answer questions. (2 points for each except otherwise indicated)
a) Name two measures of center or dispersion that tend to be resistant to an outlier,
which is extremely larger
Statistics 511-2
Sample Questions for the Final Examination
1. Short-answer questions. (2 points for each except otherwise indicated)
a) Name two measures of center or dispersion that tend to be resistant to an outlier,
which is extremely larger than the