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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,
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statistics 111
Quiz 5
0.75 1. In order to graduate, Aguinaldo must pass nal exams in two of three classes. His probability of
passing the econ exam is 0.9; his probability of passing the statistics exam is 0.5; his probability of
pa
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Statistics 111
Quiz 4
1. Consider a standard deck of cards. Report all answers to two correct non-zero decimal places.
1/8 What is the probability of getting three red cards, when drawing with replacement?
(1/2)3 = 1/8
0.12 What is
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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, Y
LAST NAME (Please Print):
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, 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 (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
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
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
NAME (Please Print): KEY
Statistics 110
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 MUST ATTACH SEPARATE PAGES,
NEATLY WRITTEN, THAT SHOW YOU
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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
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 (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 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
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 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
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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/
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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 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):
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 (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
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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 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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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 (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
FIRST NAME (Please Print): KEY
LAST 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
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 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
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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
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