Student's t-distribution
Definition: If X1, X2, . , Xn is a random sample from an normal distribution with mean
and
X
has a t-distribution with parameter
standard deviation , then the random variable T
S n
known as "degrees of freedom" df = n - 1.
n
Here
Summary: Confidence Intervals for an Unknown Population Mean
1. Sampling from a Normal Distribution with Unknown Variance:
t-Confidence Interval
Assumption: X1, X2, , . , Xn is a random sample from an normal distribution with
unknown mean
and standard dev
Page 5
4.
(a)
Stars originate as large bodies of slowly rotating gas. Due to gravity these regions
of gas slowly decrease in size. What happens to the angular velocity of the star as
it shrinks? Explain.
There is no external torque acting on the cloud so
4.
(a)
page 5
Explain why equipotential surfaces are always perpendicular to electric field lines
The potential energy of a charge is constant along an equipotential surface. This
means that no work is done to move a charge along such a surface and so the
PHYSICS 1BB3
DAY CLASS
Dr. D.W. Taylor
Duration of Examination: 2 hours
McMaster University Examination
December 2003
NOTE:THIS EXAMINATION PAPER INCLUDES 14 PAGES (INCLUDING 1 BLANK PAGE)
AND 13 QUESTIONS. YOU ARE RESPONSIBLE FOR ENSURING THAT YOUR
COPY
PHYSICS 1BB3
DAY CLASS
J. Postma, Dr. D.W. Taylor
Duration of Examination: 2 hours
McMaster University Examination
April 2004
NOTE:THIS EXAMINATION PAPER INCLUDES 16 PAGES (INCLUDING 2 BLANK PAGES)
AND 13 QUESTIONS. YOU ARE RESPONSIBLE FOR ENSURING THAT Y
PHYSICS 1BB3
DAY CLASS
Dr. D.W. Taylor
Duration of Examination: 2 hours
McMaster University Examination
April 2005
NOTE:THIS EXAMINATION PAPER INCLUDES 15 PAGES (INCLUDING 2 BLANK PAGES)
AND 13 QUESTIONS. YOU ARE RESPONSIBLE FOR ENSURING THAT YOUR
COPY OF
PHYSICS 1BB3
TEST 2
March 17, 2005
SOLUTION
NAME:
NUMBER:
There are 5 questions and 6 pages in this test.
DO ALL QUESTIONS
TOTAL MARKS 50
You may find the following useful.
k = 8.99 109 N @ m2 /C2
,
,
,
Magnitude of electronic charge: e = 1.6010-19 C
1
-3
page 5
5.
a)
A professor swings a rubber stopper in a horizontal circle on the end of a string in
front of his class. He tells Brenda, in the first row, that he is going to let the string go
when the stopper is directly in front of her face. Should Brenda
PHYSICS 1BB3
DAY CLASS
Dr. D.W. Taylor
Duration of Examination: 2 hours
McMaster University Examination
December 2004
NOTE:THIS EXAMINATION PAPER INCLUDES 15 PAGES (INCLUDING 2 BLANK PAGES)
AND 13 QUESTIONS. YOU ARE RESPONSIBLE FOR ENSURING THAT YOUR
COPY