Statistics 431 Midterm Exam
July 17, 2014
Instructor: Anru Zhang
Notes up to one side of letter sized paper is allowed. An ordinary calculator is also allowed.
Books, other notes, and computers are not allowed. Turn o all cell phones.
The time allowed
Stat 431 Midterm Exam Solution, Spring 2012
March 20, 2012
Problem 1.
(1) Denote the average reading of the monitor by .
We test H0 : = 118 vs H1 : = 118.
The test statistic is T =
.403.
X 0
,
S/ n
and the observed test statistic is t =
x118
6.2/ 25
=
118
Statistics 431 Practical Final Exam
Cuto values possibly of use (notation consistent with the textbook):
z0.05 = 1.645, z0.025 = 1.960,
t0.05,35 = 1.689, t0.025,35 = 2.030,
1
t0.05,32 = 1.694, t0.025,32 = 2.037.
Problem 1. The production manager of an oce
Sample Mean
Sample
Covariance
Sample SD
Quality of Point Estimator
One Sided CIs:
P(L ) 1
P( U) 1 -
Sample
Correlation
-1 r 1
P-value: the probability under H0 of obtaining a test statistic as
least as extreme as current observed value. Always 0 p-value
Summer 2014
Stat 431
Homework 1 (50 points total)
Due: 07/11(Friday) 11:00am before class
1. (Inclusion-exclusion principle)
Suppose A1 , A2 , A3 are three events, the inclusion-exclusion principle for three events is
given as follows,
P (A1 A2 A3 ) = P (
Statistics 431 Midterm Exam
Section 001/002
March 14, 2012
Instructor: Zongming Ma
Notes up to four sides of letter sized paper are allowed. An ordinary calculator is also allowed.
Books, other notes, and computers are not allowed. Turn o all cell phone
Statistics 431 Practice Midterm Exam
Cuto values possibly of use (notation consistent with the textbook):
z0.05 = 1.64,
z0.025 = 1.96.
1
Problem 1.
1. Problem 1 Homework 2:
(a) Which one will be probably be larger mean or median?
(b) Will the sample skewn
Statistics 431 PRACTICE Midterm
Section 001/002
Notes up to two sides of letter sized paper are allowed. An ordinary calculator is also allowed.
Books, other notes, and computers are not allowed. Turn o all cell phones.
The time allowed is two hours.
Statistics 431 Final Exam
Section 001/002
May 10, 2011
Instructor: Zongming Ma
Notes up to four sides of letter sized paper are allowed. An ordinary calculator is also allowed.
Books, other notes, and computers are not allowed. Turn o all cell phones.
Final Exam Solution Spring 2012
Stat 431, Section 001/002
Total Points = 100
S SE/(n 2), so the MLE
1. (1) (5 points) Note that in the simple regression the RMSE is
of 2 is SSE/n = 56.542 56/58 = 3086.538
(2) (5 points) (b). The F test for testing H0 : N
Spring 2013
Stat 431
Homework 2
Due on Friday, February 15 at 5 pm.
Please turn in a hardcopy either in class or use the STAT 431 box in Statistics Department (400
JMHH). For problems involving computation with R, please only report results. Do not turn i
Statistics 431 Midterm Exam
Section 001/002
March 19, 2014
Instructor: Nathan Stein
Notes up to four sides of letter sized paper are allowed. An ordinary calculator is also allowed.
Books, other notes, and computers are not allowed. Turn o all cell phon
Spring 2012
Stat 431
Homework 1 (100 points)
Due on Fri, Sept 19 at 5 pm.
Please turn in a hardcopy either in class or use the STAT 431 box in Statistics Department (400
JMHH). For problems involving computation with R, please only report results. Do not
Spring 2013
Stat 431
Homework 1
Due on Friday, February 1 at 5 pm.
Please turn in a hardcopy either in class or use the STAT 431 box in Statistics Department (400
JMHH). For problems involving computation with R, please only report results. Do not turn in
Summer 2014
Stat 431
Homework 4 solution
Due: 08/04(Monday) 11:00am before class
For the problems involving computation in R, please report results and attach the R source
code.
1. (R practice problem) The time between eruptions of Old Faithful geyser in
Spring 2013
Stat 431
Homework 1 (110 points)
Due on Friday, February 1 at 5 pm.
Please turn in a hardcopy either in class or use the STAT 431 box in Statistics Department (400
JMHH). For problems involving computation with R, please only report results. D
Stat 430 Quiz 8
Name:
1. Give a clear statement of the Markov inequality.
1
2. A random variable has a moment generating function of 4 23t + 1 33t +
3
5 t
12 e .
What is its PMF?
3. A soccer team has three designated players who take turns striking penalt
Introduction
To date we have considered only a continuous response (Y ) variable. Now we address
the case where Y is a categorical response variable. The technique we will employ is
called logistic regression. We restrict attention to dichotomous response
Summer 2014
Stat 431
Quiz 1 (50 points total)
07/11(Friday) 11:00am - 11:30am
1. (25 points) There are imbalanced numbers of women and men in quite a few numbers of
Asian countries, such as China and India. Moreover, these countries happen to have the
his
Summer 2014
Stat 431
Homework 1 (50 points total)
Due: 07/11(Friday) 11:00am before class
1. (Inclusion-exclusion principle)
Suppose A1 , A2 , A3 are three events, the inclusion-exclusion principle for three events is
given as follows,
P (A1 A2 A3 ) = P (
Statistics 431 Final Exam
Section 001/002
May 1, 2013
Instructor: Zongming Ma
Notes up to four sides of letter sized paper are allowed. An ordinary calculator is also allowed.
Books, other notes, and computers are not allowed. Turn o all cell phones.
T
Summer 2014
Stat 431
Homework 4
Due: 08/04(Monday) 11:00am before class
For the problems involving computation in R, please report results and attach the R source
code.
1. (R practice problem) The time between eruptions of Old Faithful geyser in Yellowsto
Statistics 431 Final Exam
Section 001/002
May 4, 2012
Instructor: Zongming Ma
Notes up to four sides of letter sized paper are allowed. An ordinary calculator is also allowed.
Books, other notes, and computers are not allowed. Turn o all cell phones.
T
Stat 430 HW 5
1. Let X be a random variable with PDF
fX (x) =
c(sin2 (x) + log(x)
0
if 1 < x 2
otherwise
(a) Find c
(b) Find the CDF FX (x)
(c) Find E(X) and V ar(X)
Solution
(a)
2
2
1 c(sin (x) + log(x)dx = 1
2
c[ x + xlog(x) 1 sin(2x) ]
2
4
1
=1
c 0.768
STAT 431 Midterm Review Spring 2013
TA: Tengyuan Liang, WHP 17
1. Statistical Inference and Hypothesis Testing
1.1 Point Estimation and Confidence Interval
1.2 Hypothesis Testing
Sampling Distribution:
Point Estimation:
Sample Mean and Sample Variance T
Spring 2013
Stat 431
Homework 1 (100 points)
1. (16 points) In an experiment, a monkey is oered a full set of 54 poker cards, and the rst
card the monkey picks is recorded. Assume that the monkey is not trained and thus picks
each of the 54 cards with equ
price,"Price ($1,000)",BLDSQFT,LOTSQFT,BEDRMS,CONSTYR,garsqft,baths,Year of Sale,bldgAGE149000,149,1403,0,3,1961,0,1,2003,42131500,131.5,1224,7119,3,1961,0,2,2003,42123500,123.5,935,7622,3,1959,0,1,2003,44151900,151.9,1243,8819,3,1956,0,2,2003,47222500,22