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Statistics 111
Homework 1
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, YOU M
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Midterm 1
This is a closed book exam.
You may use your calculator and a single page of notes.
The room is crowded. Please be careful to look only at you
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 3
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 3
You are allowed to discuss problems with other students, but the final answers must be
your own work.
For all problems that require calculation,
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 1
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Please Print):
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 3
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, YOU M
LAST NAME (Print): KEY
Statistics 111
Quiz 11
1. Assume that the number of eggs laid by a species of cockroach has Poisson distribution with unknown
parameter . Based on knowledge of other species, you think has a Gamma(10, 20) distribution.
Now you obser
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Statistics 111
Homework 4
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Print): KEY
Statistics 111
Quiz 15
1. You want to claim that women are more likely to major in statistics than are men.
In symbols, what is your alternative hypothesis? H0 : pw pm > 0
TA: You should accept any equivalent statement; e.g., pw > p
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Statistics 111
Quiz 18
1. Multiple regression on 18 students predicts nal grade (FG) from the hours spent studying the night
before the nal (NB), the hours spent studying the week before the nal (WB), and the number of
courses being
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Statistics 111
Quiz 16
1. Out of 100 random students, 30 are from NC, 40 are out-of-state, and 30 are international. Of the
NC students, 10 major in econ, 10 major in stats, and 10 major in art. Of the out-of-state students,
15 majo
NAME (Please Print): KEY
Statistics 111
Quiz 17
1. You do a regression analysis. The response variable is the average lifespan in a county, and the
explanatory variable is the average annual income in the county. The JMP output says the estimated
intercep
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Statistics 111
Homework 4
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, YOU M
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 3
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Print): KEY
Statistics 111
Quiz 9
1. Let X1 have mean 4 and variance 12. Let X2 have mean -3 and variance 2. Suppose the covariance
between them is -3.
What is the correlation between X1 and X2 ?
Corr(X, Y ) = Cov(X, Y )/
Var [X ]Var [Y ] = 3/
LAST NAME (Please Print):
FIRST NAME (Please Print): KEY
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 3
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 2
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Print): KEY
Statistics 111
Quiz 10
1. Let X1 , . . . , Xn be a random sample with density f (x) = c x(+1) for x > c with c > 0 and > 0.
Find the MLE of .
The likelihood function is
n
n
( +1)
c xi
f (x 1 , . . . , x n ; ) =
( +1)
= n cn
i=1
xi
i
LAST NAME (Print): KEY
Statistics 111
Quiz 8
0.09 1. Assume that the IQs of college students follow a Weibull distribution with mean 120 and standard
deviation 15. Find the approximate probability that a class of 16 has a mean IQ greater than 125.
By the
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FIRST NAME (Please Print):
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Statistics 111
Midterm 2
This is a closed book exam.
You may use your calculator and a single page of notes.
The room is crowded. Please be careful to look only at you
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 8
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Print): KEY
Statistics 111
Quiz 7
1. Suppose f (x, y ) = c for all (x, y ) such that x2 + y 2 3. The following questions can be answered
without calculation, just by using what Captain Queeg called geometric logic.
1/(3 ) What is the value of c
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
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Statistics 111
Homework 3
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 7
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
14.0 Hypothesis Testing
1
Answer Questions
Hypothesis Tests
Examples
14.1 Hypothesis Tests
A hypothesis test (signicance test) is a way to decide whether the data
strongly support one point of view or another.
There are many kinds of signicance tests,
13.0 Bootstrap Condence Intervals
Answer Questions
1
Some History
How the Bootstrap Works
Example
13.1 Some History
2
A lot of theoretical statistics has focused on developing methods for setting
condence intervals and testing hypotheses. A key tool f
20.0 Experimental Design
Answer Questions
1
Philosophy
One-Way ANOVA
Egg Sample
Multiple Comparisons
20.1 Philosophy
Experiments are often expensive and/or dangerous. One wants to use good
techniques that minimize costs and risks, while still learnin
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Statistics 103
Quiz 17
1. You fail statistics, unk out of Duke, and take a job as a carnie, guessing peoples weights. Their trick
is to have a pole or a tree behind the mark, with notches to show the marks height; they also have a
h
18.0 Multiple and Nonlinear Regression
1
Answer Questions
Multiple Regression
Nonlinear Regression
18.1 Multiple Regression
Recall the regression assumptions:
1. Each point (Xi , Yi ) in the scatterplot satises:
Yi = 0 + 1 Xi + i
2
where the i have a n
LAST NAME (Print): KEY
Statistics 111
Quiz 10
0.09 1. Assume that the IQs of college students follow a Weibull distribution with mean 120 and standard
deviation 15. What is the probability that a class of 16 has a mean IQ greater than 125?
Use the CLT. IP
LAST NAME (Please Print):
FIRST NAME (Please Print): KEY
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 3
You are allowed to discuss problems with other students, but the final answers must be
your own work.
For all problems that require calculation,
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 4
You are allowed to discuss problems with other students, but the final answers must be
your own work.
For all problems that require calculation,
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Homework 5
You are allowed to discuss problems with other students, but the final answers must be
your own work.
For all problems that require calculation,
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Midterm 3
This is a closed book exam.
You may use your calculator and a single page of notes.
The room is crowded. Please be careful to look only at you
LAST NAME (Please Print): KEY
FIRST NAME (Please Print):
HONOR PLEDGE (Please Sign):
Statistics 111
Midterm 4
This is a closed book exam.
You may use your calculator and a single page of notes.
The room is crowded. Please be careful to look only at you