Sample Term Test 1 A
1. Consider the following variables:
(i) Area code (Vancouver 604, Edmonton 780, Winnipeg 204, etc.)
(ii) Weight class of a professional boxer (lightweight, middleweight, heavyweight, etc.)
(iii) Office number of a Statistics professo
Sample Final A
Part A
1. The mean salary of the nine employees of a small business is $52,000 per year. One
employee, whose salary was $68,000, was fired. Two new employees, who will each be
paid a salary of $40,000, are hired. What is the new mean annual
PROBABILITY NOTES - PR2
RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS
Random variable ? : A random variable is a function on a sample space : . This function assigns a real number ? to each sample point : . Often a random variable is simply equal to the
PROBABILITY NOTES - PR4
JOINT, MARGINAL, AND CONDITIONAL DISTRIBUTIONS
Joint distribution of random variables ? and @ : A joint distribution of two random variables has a probability function or probability density function % & that is a function of two v
PROBABILITY NOTES - PR3
FREQUENTLY USED DISCRETE DISTRIBUTIONS
Uniform distribution on 5 points (where 5 is an integer): The probability function is % ~ 5 for % ~ 5 , and % ~ otherwise.
5 ! ! 5 ! c b c ,? ~ 5 , = ? ~ 5 , 4? ! ~ ~ 5 ! c for any real !. ~ 5
PROBABILITY NOTES - 1 SAMPLE SPACES AND EVENTS
Sample point and sample space: A sample point is the simple outcome of a random experiment. The sample space is the collection of all sample points related to a specified experiment. Mutually exclusive outcom
PROBLEM SET 8
1. Let ? and @ be continuous random variables having a bivariate normal distribution with means ? and @ , common variance , and correlation coefficient ?@ . Let -? and -@ be the cumulative distribution functions of ? and @ respectively. Dete
ACT245H1 S - PROBLEM SET 6
1. Let ? be a discrete random variable with probability function 7 ? ~ % ~ % for % ~ What is the probability that ? is even? A) B) C) D) E)
2. For a certain discrete random variable on the non-negative integers, the probability
ACT245H1 S - PROBLEM SET 5
1. A class contains 8 boys and 7 girls. The teacher selects 3 of the children at random and without replacement. Calculate the probability that number of boys selected exceeds the number of girls selected. A) B) B) B)
B)
PROBLEM SET 9
Loss Distributions and Insurance 1. An insurer models the claim random variable ? for a certain insurance policy as follows: % 7 ? ~ % The insurer wishes to summarize the claim amount distribution with the parameters: ~ probability a non-zer
Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday September 9 2014
9,
How to Summarize Data
(Chapter 2)
coverin
descrip
sta:s:
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Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday September 16 2014
16,
How to Test for Differences Between Groups
(Chapter 3)
4 Main Tasks of Statistics
To describe/summarize a set of data (data
reduction )
reduction)
To estimate how close
Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday September 23 2014
23,
The Special Case of Two Groups:
The t Test
(Chapter 4)
Outline
Learning objectives
L
i
bj ti
Testing for differences between groups revisited
Explaining observed study re
Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday October 7 2014
7,
What Does Not Significant Really Mean?
Not Significant
(Chapter 6)
Outline
Learning objectives
g
p
Taking it from the top
Biomedical studies & the roles of statistics
Study p
Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday September 30 2014
30,
How to Analyze Rates and Proportions
(Chapter 5)
Outline
use
d
wh
en
the
re
are
sm
all
nu
Learning objectives
Descriptive statistics for proportions
Confidence
Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday October 7 2014
7,
What Does Not Significant Really Mean?
Not Significant
(Chapter 6)
Outline
Learning objectives
g
p
Taking it from the top
Biomedical studies & the roles of statistics
Study p
Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday November 4 2014
4,
How to Test for Trends Chapter 8 Part II
8,
(pages 155-156, 173-177, 178-183)
(and concepts for pages 160-164 & 177-178)
Outline
Confidence interval for a regression line
Statistics Applied to Human Biology
(HMB325F)
Tuesday,
Tuesday October 28 2014
28,
How to Test for Trends Chapter 8 Part I
8,
(pages 143-155, 156-160, 164-173, 178-183)
Outline
Learning objectives Chapter Guide
A new study scenario
Regression lines
g
Guidance Re: Chapter 8 (How to Test for Trends)
Given the number of concepts addressed in Chapter 8, I'd like to summarize those portions that
you are expected to be able to do from this chapter (i.e., that will be relevant for the October 30th
and Novemb