Survey Sampling
HW10 -Chapter 14
Problem 14.1
25+37 = 62, 25+15 = 40
n = 40*62/25 = 99.2
N = 99.2*3575/525 = 676
The estimated number of abnormalities among the 3575 workers is 676.
Problem 14.2
So the screening test is bad, which means that the probabili
Stat 515: Regression
Homework 1.
Due Thursday, October 6
Instructions: Problems are from the text Applied Linear Regression Models, Fourth Edition,
by Kutner, Nachtsheim, and Neter. Data can be found on the accompanying CD that is in the
back of the book.
Stat 530, Mathematical Statistics, HW #12
Fall 2012
Due: Wednesday, Dec. 5
1. 3.4.11
This is called truncated Normal. For E ( X ) xf ( x)dx , use integration by
substitution with u x 2 .
2. 3.4.28
Use Theorem 3.4.2 (p.174) for this and the following quest
Stat 530, Mathematical Statistics, HW 12
Fall 2012
Due: Wednesday, Nov. 28
1. 3.2.3
2. 3.2.5
After you determine the lower bound, use software to find the probability.
3. 3.2.10
Hint: Find a, such that P(X > a) < 0.01 (why?).
4. 3.3.6
Note that Xi, i=1,2,
Stat 530, Mathematical Statistics, HW 10
Due: Wednesday, Nov. 14
1. 3.1.6
Consider the compliment event to simplify the computation.
2. 3.1.18
3. 3.1.23
4. 3.1.27
(This problem is not available in the 6th edition.)
This is the end of HW 10.
Fall 2012
Stat 530, Mathematical Statistics, HW 8
Fall 2012
Due: Wednesday, Oct. 31.
1. Read textbook p.104~107: Theorem 2.4.1, Example 2.4.2 and Example 2.4.3.
2. 2.4.2
3. 2.4.3
Take the conditional means as known results, as weve worked on in class (see
notes).
J
Stat 530, Mathematical Statistics, HW 9
Fall 2012
Due: Wednesday, Nov. 7
1. 2.6.1(skip c, d)
Note that the marginal pdfs (hence, the cdfs) of X, Y, Z are identical. (Why?)
2. 2.6.3
3. 2.7.1
First, find the joint pdf of X1, X2, and X3. Next, use Jacobian t
Stat 530, Mathematical Statistics, HW #1
Fall 2012
Due: Wednesday, Sept. 5
From textbook, p.8
1. 1.2.2
2. 1.2.4
Hint: To prove two sets A=B, show that: x A x B , and x B x A .
3. 1.2.8
4. 1.2.11
5. 1.2.12
Just C1 and C2. Extra credit for C3.
From textbook