Review #3: Chapters 8 and 9
1) A hypothesis test is performed to test H0: = 5 versus HA: < 5. The
resulting test statistic is found to be z = 1.99. What is the approximate pvalue for this test?
(a) 0.0233
(b) 0.0466
(c) 0.0606
(d) 0.0932
(e)
0.1212
2) A t
Review #2: Chapters 4 to 6
1) Over a 13-day period, the numbers of traffic accidents per day in a city
were recorded as the following: 1, 8, 2, 3, 2, 3, 4, 3, 7, 5, 5, 4, and 1. Of
the boxplots labelled below (labelled a, b, c, d, and e), which of the
fol
Civ E 251
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A system in which relatively low-skilled workers use specialized machinery to produce
high volumes of standardized goods describes _.
Select one:
a. Craft production
b. Lean production
c
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STA 302 / 1001 Summer 2013
Term Test
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May 29, 2013
LAST NAME : _tions_
STUDENT # :
FIRST NAME: _Solu_
_
STA 302
ENROLLED IN (tick one):
STA 1001
INSTRUCTIONS:
Time: 100 minutes
Do
Aids allowed: calculator and dictionary
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STA 302 / 1001 Summer 2014
Term Test #1
Solutions
_
LAST NAME : _
STUDENT # : _
ENROLLED IN (tick one):
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om
FIRST NAME: _
STA 302
STA 1001
INSTRUCTIONS:
Time: 90 minutes
Aids allowed: calculator
A t-distribution table is provided on the
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STA 302 / 1001 Fall 2014
Term Test Solutions
LAST NAME : _tions_
STUDENT # :
.c
om
FIRST NAME: _Solu_
_
ENROLLED IN (tick one):
STA 302
STA 1001
INSTRUCTIONS:
Time: 100 minutes
Aids allowed: calculator
D
A t-distribution table is provided
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STA 302/1001
Fall 2015
Midterm A
10/20/2015
Time Limit: 1h 40 min
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Last Name (Print):
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First Name:
Student Number:
Check one: STA302 STA1001
This exam contains 8 pages (including this cover page) and 3 problems. Check to see if any page
Some Statistics Background Needed for STA 302/1001
A.L. Gibbs
1
A Brief Review of the Distribution Theory for t-tests and Confidence Intervals
Some facts related to Normally distributed random variables:
1. Consider a random variable X whose distribution
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STA 302/1001
Summer 2015
Midterm
6/1/2015
Time Limit: 1h 50 min
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a
Last Name (Print):
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om
First Name:
Student Number:
Check one: STA302 STA1001
This exam contains 8 pages (including this cover page) and 3 problems. Check to see if any pages
Power and Sample Size
The power of a test of hypothesis with xed signicance level is the
probability that the test will reject the null hypothesis when the alterna>ve is
true.
In other words, power is the proba
Sampling Distributions
January 7, 2014
Random Sample
I.I.D. random variables: If X1 , . . . , Xn are the outcomes of a
series of random experiments which are identical and have nothing
to do with each other, then they are independent and identically
distr
Review
January 5, 2014
Methods of Distribution Functions and Transformations
How do we find the PDF of a random variable Y = v (X )?
Write the CDF of Y : FY (y ) = P(v (X ) y )
Invert the inequality
Differentiate the CDF to get the PDF of Y
If v(X) is
MIDTERM
Name (Last name ﬁrst)
Student ID 7%:
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Show all your work and answers in the space
provided, in ink. Pencils may be used, but
then your exams cannot be regraded if grading
issues arise.
1 2 3 4
17 18 15 10
Results
Total 1.[l7pts] Let
Method of Moments (MoM)
Scenario: Let X1 , X2 , . . . , Xn be a random sample from a
population with distribution fX (x; ), with = (1 , 2 , . . . , k ). We
would like to estimate
Idea: Use the mean observed data to estimate the expected value
of the dist
Hypothesis Testing
March 9, 2014
P-value
Coin tossing example: A coin is tossed 500 times. It lands heads
275 times. Find the p-value of the hypothesis test
H0 : p = 1/2 vs. Ha : p 6= 1/2
What is the chance of observing something like what we observed
if
Hypothesis Testing
March 17, 2014
Neyman-Pearson Lemma
Finding best tests (also called most powerful tests): Find a
rejection region (RR) such that
1. The probability of RR under H0 is less than some significant
level
2. The probability of RR under Ha is
Estimation (continued)
January 20, 2014
Consistency Result
Recall: An estimator n is consistent for if if converges in
P
probability to . Notation: n
Theorem An unbiased estimator n for is a consistent estimator
of if
lim V (n ) = 0
n
Proof: According to
Confidence Intervals for a Parameter
February 2, 2014
Confidence Intervals (CI)
Point estimators are not right( at least when the statistical model
is continuous). Why?
Can we find an interval which contains the parameter with some
certainty?
A confidence
WELL KNOWN DISTRIBUTIONS
DISCRETE DISTRIBUTIONS
Bernoulli(p)
Probability mass function:
(
fX (x) = Pr[X = x] =
Mean and Variance:
px (1 p)1x x = 0, 1; 0 p 1
0
elsewhere
E[X] = p
V ar[X] = p(1 p)
Moment Generating Function: MX (t) = (1 p) + pet
The Bernou
Estimation
January 13, 2014
Statistical Inference
The process of statistical inference is the opposite of the process
followed in the theory of probability
In the theory of probability, a probability model (a probability
distribution, that is) is given an
Sampling Distributions Continued
January 11, 2014
Normal Distribution
Recall
If X Normal(, 2 ) then
1
2
exp 2 (x ) I(,) (x)
fX (x; , ) =
2
2 2
E [X ] =
1
Var [X ] = 2
The MGF of X is
2t 2
MX (t) = exp t +
2
Normal Distribution
Result Let X1 , X2 , . . .
MARS 1F90 Seminar 4
Forum Questions Isotta Nogarola: Of the Equal or Unequal Sin of Adam and Eve
1. On p. 53, Isotta observes that, Eve lacked sense and constancy. What other negative qualities
does Isotta ascribe to Eve (and by implication to Renaissance
MARS 1F90 Seminar 4
Forum Questions Isotta Nogarola: Of the Equal or Unequal Sin of Adam and Eve
1. On p. 53, Isotta observes that, Eve lacked sense and constancy. What other negative qualities
does Isotta ascribe to Eve (and by implication to Renaissance
Adult education
in this course I will be working on
1.
2.
3.
4.
5.
6.
7.
8.
who are you as a learner ?
the are of reflective practise, values, motivation and attitude
critical and creative thinking
activate your memory, how memory works, focusing attentio
Personal Learning Profile
Zair Mohammad Alem
Student #:
ADED1P31
Foundations of Adult Education
Faculty of Education
Brock University
St. Catharine, Ontario
Date: 25/06/15
1
Personal Learning Profile
Before I started this course, I had no idea who I was a
THE
RENAISSANCE
READER
EDITED BY
Kenneth]. Atchity
ASSISTANT EDITOR, ROSEMARY McKENNA
=: HarperPerennial
A Division of HarperCollinsPublishers
Copyright acknowledgments appear on pages 367-370.
A hardcover edition of this book was published in 1996 by Har
1
MARS1F90
FallTerm2014:Lecture10(Outline)
TheBlackDeath&TheHundredYearsWar
1. Introduction
a. TheBlackDeathcomestoWesternEurope(1347)
b. Themortalityrate
c. OutbreaksofdiseaseinEuropebeforetheBlackDeath
i. Leprosy
1. Thecrusaders
2. Isolatingpersonswhowe
1
MARS 1F90
Fall 2014
Lecture 7 (outline)
Religious Life in the High Middle Ages
1. The papacy and the struggle for power
a. The Investiture Controversy
i. The conflict between Gregory VII and Henry IV
ii. What was the issue?
iii. Gregory excommunicates H