1. John Theberge (noted wolf researcher in Algonquin Park) catches and
collars 67 wolves. He assumes that he has captured a random sample of
animals. For each of the animals he determines whether or not they are
coyote cross-breeds. He notices that 17 are
Lecture 23
th March 2015
4
When do we add or subtract from the value of
X?
ALWAYS draw a picture
Pr(a<X<b)
If X is binomial then the continuity correction
for X should be
Exercise 12.9: Forty percent of
postmenopausal women have low bond
density (osteope
Lecture
October 31, 2011
Chapter 5
Sampling Distribution ofY (contd)
Mean and Standard Deviation of
the Sample Mean
Suppose a population has parameters
given by the mean and the standard
deviation
The sample meanY is the statistic used
to estimate . Th
Lecture 2
th Jan 2015
7
Exercise 7.4: A health care provider wants to rate its
members satisfaction with physical therapy. A
questionnaire is mailed to 800 members of the health
plan selected at random from the list of members who
were prescribed physical
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Question 1 -Multiple choice (11110 = 10 marks, no marks will be deducted for wrong
answers). Circle the letter corresponding to the correct answer.
1. Based on the Venn Diagram below, what event is represented by the shaded in area?
a) (:4 n_B n _C)
e)
61HT c203, 'Fl
Tutorial 7951 a/ VB
Question 1 -Multiple choice (11110 = 10 marks, no marks will be deducted for wrong
answers). Circle the letter corresponding to the correct answer.
1. Based on the Venn Diagram below, which of the following statements ar
Instructions
1. Please note that there are questions on both sides of the
page
2. Answer the questions in the spaces provided
3. Only question pages will be marked
4. You may tear off the last page to use for rough work
5. Your final numeric answers must
Instructions
1. Please note that there are questions on both sides of the
page
2. Answer the questions in the spaces provided
3. Only question pages will be marked
4. You may tear off the last page to use for rough work
5. Your final numeric answers must
A few random facts about me
I once lived in South Africa
I have a twin brother and,
I like to bake
Im also pretty friendly so feel free to
come by my office hours even just to say
Hi
Welcome to W15
Lecture Times/Venue:
MWF 11:30 to 12:20, MC 2065
Lecture 7
th Jan 2015
19
Examining Relationships
Between Variables
Problem: Do people who attend a
diabetes control class manage their blood
glucose levels better than those that
received individual instruction?
What are a few things that we observe
whe
Lecture 10
th Jan 2015
26
Example: In a study of the relationship
between health risk and income, a large
group of people were asked a series of
questions. Some results are shown
below.
Low
Income
Medium
High
Total
Smoke
634
332
247
1213
Dont
smoke
Total
Lecture 11
th Jan 2015
28
Dice example contd:
Suppose we roll a die once and let
A=cfw_Roll an even number and
B=cfw_The number is greater than 3
Find Pr(A|B)
Example: What is the probability that a
randomly selected person smokes, if
that person has Low
Lecture 9
rd Jan 2015
23
Probability (Chapters 9 and
10)
Introduction to Probability:
We can define probability in 3 ways.
1.Subjective
2.Relative Frequency
3.Mathematical/ Classical
Subjective
Based on intuition, we guess what the probability
is.
Examp
Lecture 6
th Jan 2015
16
The Histogram (Chapter 1, pg 14)
Is another graphical technique that can be used to
represent data.
Used to describe the data (i.e shape, spread, centre,
outliers, etc)
A Histogram is an example of a Frequency distribution.
We bui
Lecture 5
th Jan 2015
14
Example 2.3.1: Weight Gain of Lambs: The
following data are the two-week weight gains (lb) of
six young lambs of the same breed that have been
raised on the same diet:
11, 13, 19, 2, 10, 1
Calculate the standard deviation.
Buffe
Lecture 4
th Jan 2014
12
Outliers
These are values that are more extreme than the
others in the data.
For example: 1, 5, 7, 1000
Outlier?
For example: -0.6, -10, -2.5, 0, 1, 0.6
Outlier?
Buffer Solution
9.1
4.1
8.1 7.8 7.0 6.8 5.4 5.4 4.1 3.8
Nanoparticle
Lecture 3
th Jan 2015
9
Describing Data (Chapter 2)
Types of Data
Quantitative (Numeric) Variable
Takes on a numeric value
Can be measured
Quantifies some aspect of an individual or thing.
Qualitative (Categorical) Variable
Takes on levels/ categories
Tutorial Test 1
This section will be covered by Odyssey
Instructions
Marking Scheme:
1. Please note that there are questions on both sides
of the page.
2. Answer the questions in the spaces provided.
3. Only question pages will be marked.
4. You may tear
Tutorial Test 1
This section will be covered by Odyssey
Instructions
Marking Scheme:
1. Please note that there are questions on both sides
of the page.
2. Answer the questions in the spaces provided.
3. Only question pages will be marked.
4. You may tear
Instructions
1. Please note that there are questions on both sides of the
page
2. Answer the questions in the spaces provided
3. Only question pages will be marked
4. You may tear off the last page to use for rough work
5. Your final numeric answers must
Chapter 14 &17 Part
I: Confidence
Intervals
Objectives
Introduction to inference
Uncertainty and confidence
Confidence intervals
Confidence interval for a Normal population mean (three cases)
Uncertainty and confidence
If you picked different samples from
Stat 202
Chapters 9 & 10
p. 1/21
Probability
Definition: A probability experiment or a Trial is a chance process that leads to
well-defined results called outcomes. (You know all possible outcomes before performing
the experiment.)
For eg: Tossing a coin,
Chapter 10: More examples
EXAMPLE 1. Probabilities of hearing impairment and blue eyes among Dalmatian
dogs.
HI = Dalmatian is hearing impaired
B = Dalmatian is blue eyed
Neither HI nor B
0.66
HI and not B
0.23
P(HI and B) = .05
P(HI) = .28
B and not HI
0
Stat 202
Lecture 1
p. 1/7
Descriptive and Inferential Statistics
Science of conducting studies to collect, organize, summarize, analyze, and
draw conclusions from data.
Statistics:
Table 1: Example of a data set (Sample data)
Name
Age (yrs.)
Gender
Weight
Chapter 20
Comparing two proportions
Objectives
Comparing two proportions
Comparing 2 independent samples
Confidence interval for 2 proportion
Large sample method
Plus four method
Test of statistical significance
Treatment and risk reduction
Comparing 2 i
Chapter 3: Correlation
Determining the relationship between variables.
Student
Hours of study (x)
Grade (y)
A
6
82
B
2
63
C
1
57
D
5
88
E
2
68
F
3
75
1. Are two variables x and y related?
2. If so, what is the strength of the relationship?
3. What type of
1. The average age of doctors in a certain hospital is 48.0 years old with
a standard deviation of 6.0 years. If 9 doctors are chosen at random
for a committee, find the probability that the mean age of those
doctors is between 46.5 and 51.2 years. Assume