Mathematics 312
HW01-Math231 Review
Due: 09/05 by 4:00pm
Fall, 2013
1. Which of the following description about P-value is/are CORRECT?
(a) It is the probability for the null hypothesis bing true.
(b) The signicance level is the maximum of P-values for th
Math312 Fall 2013
HW02 Solution and Grading Guideline
A1 (30 points 1 point each)
1. T
2. F. If Y~Bin(n,p), Y can assume 0, 1, , n, which are (n+1) possible values in total.
3. T
4. F. A counter example will be the mean for Bin(1, 0.5), where the mean (ex
Two samples problem
Hypothesis Testing on = .
, where are the corresponding sample sizes.
Reject if
100(1-)% Confidence Interval for
Matched-Pair sample problem
Paired random sample
For testing = .
Let , , =
Assumming are assymptotically normal,
, whre
Si
MATH/STAT 312
HW02
A.1 True/False, Write down the reason if the statement is false.
Fall 2013
A.2
B.1 True/False, Write down the reason if the statement is false.
B.2
MATH312
Spring 2013
Name:
Please circle the corresponding academic status!
Undergraduate
Graduate
Test I Feb. 18
Note :
1. You are allowed to use calculator and one page (single-sided) of formula sheet.
2. Please number extra pages if applicable.
Item
Poi
MATH 312 (Due: 10/01)
HW04
A.1 True/False, Write down the reason if the statement is false.
A.2 6.4.2
Fall 2013
B.1 True/False, Write down the reason if the statement is false.
B.2 Show all our works
1. 7.4.6
2. 7.5.4
MATH 312
HW03
A. True/False, Write down the reason if the statement is false.
Fall 2013
B.
5.1.9 (1) Perform manual calculation, (2) use appropriate SAS procedure to conduct the same
analysis and compare those results.)
5.2.4 (manual calculation only)
5.3
MATH/STAT 312 (Due: 11/04)
HW06
A.1 True/False, Write down the reason if the statement is false.
Fall 2013
A.2
1. (undergraduate student)Assume that X and Y are jointly distributed with E X
,E Y
, Var X
, Var Y
, Cov X, Y
. Furthermore, let Y
X
X,
.
what
MATH312
Fall 2013
Test I Solution Key
A (20%) Short Answer Problem. Circle the answer for True/False problem
1. (F) Given that 400 measurements of sound speed (MPH) taken in a certain lab yield the 95% C.I. for
mean sound speed, (765, 775), the probabilit
MATH/STAT 312
HW05
A.1 True/False, Write down the reason if the statement is false.
Fall 2013
8.1:
8.2:
8.3:
False, t distribution is appropriate for small sample sizes from Normal population with
unknown variance which is estimated by s2.
True.
False, un
MATH/STAT 312
HW06
Spring 2013
A.1 True/False, Write down the reason if the statement is false.
9.1:
9.2:
9.3:
9.4:
9.5:
True, it is the definition of LSE.
False, LSE line always passes through ( , ).
True, it is the interpretation of regression coefficie
MATH/STAT 312
HW07
Fall 2013
A.1 True/False, Write down the reason if the statement you think is false.
Page 313, questions: 2,3,5,6,7,8,9,10,11,12,13,15,16,17
A.2
1. 10.1.3
2. 10.2.2
3. 10.2.4
4. 10.2.7 (Use the printout of applying SAS GLM procedure to
Mathematics 312
HW01-Math231 Review
Due: 09/05 by 4:00pm
Fall, 2013
1. Which of the following description about P-value is/are CORRECT?
(a) It is the probability for the null hypothesis bing true.
(b) The signicance level is the maximum of P-values for th
MATH 312 Sheet
Wei Zhang
wez311@lehigh.edu
Chapter 10
: number of groups; : number of observations within each group; = = : total number of observations.
Additive Model (Test whether the differences in the sample averages are significant):
= + +
Assumpt