University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
157
Lecture 20:
CHAPTER 8: TESTING STATISTICAL
HYPOTHESES
Tests Concerning Hypotheses About Means Contd (Section
8.2, page 363)
Last lecture, I introduced the Paired Data T test:
For paired data, the relevant formulas:
n
d
d
i
i 1
n
,
sd
2
n
di
n
2
d
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
99
Lecture 14:
CHAPTER 5: PROBABILITY AND SAMPLING
DISTRIBUTIONS
Describing Sampling Distributions Contd (Section 5.6,
page 233)
Recall from our last lecture:
THE CENTRAL LIMIT THEOREM
Given a large random sample of size n from a population with mean and
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
54
Lecture 9:
CHAPTER 3: BIVARIATE AND MULTIVARIATE
DATA AND DISTRIBUTIONS
Scatter Plots (Section 3.1, page 102)
BIVARIATE DATA
All the data sets we have encountered up to now deal with measurements of one
variable on each of several individuals:
In many
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
65
Lecture 10:
CHAPTER 3: BIVARIATE AND MULTIVARIATE
DATA AND DISTRIBUTIONS
Fitting a Line to Bivariate Data Contd (Section 3.3,
page 117)
FITTING A STRAIGHT LINE
Recall from last class:
The equation of the least squares line L is given by
y a bx ;
where
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
82
Lecture 12:
CHAPTER 5: PROBABILITY AND SAMPLING
DISTRIBUTIONS
Conditional Probability and Independence (Section 5.3,
page 208)
CONDITIONAL PROBABILITY
The term conditional probability comes from the fact that sometimes, the
probability that A occurs de
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
92
Lecture 13:
CHAPTER 5: PROBABILITY AND SAMPLING
DISTRIBUTIONS
Random Variables Contd (Section 5.4, page 215)
Recall from last lecture:
A numerical characteristic whose value depends on the outcome of a chance
experiment is called a random variable. A r
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
22
Lecture 4:
The Normal Distribution (Section 1.4, page 36)
Definition
A continuous variable x is said to have a normal distribution with parameters
and , where and 0 , if the density function of x is
f ( x)
2
1
e ( x )
2
( 2 2 )
for
x
THE STANDARD
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
15
Lecture 3:
Describing Distributions Contd (Section 1.3, page 28)
Continuous Distributions Contd
In our last lecture, I introduced density functions of continuous variables. We
were able to
1.) verify a valid density function
2.) Find the proportion of
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
28
Lecture 5:
Several Useful Discrete Distributions (Section 1.6, page 50)
THE BINOMIAL DISTRIBUTION
Suppose that items or entities of some sort come in batches of size n.
We let (or p) denote the proportion of all items in the population or
process that
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
108
Lecture 15:
MIDTERM REVIEW
1. A research scientist reports that mice will live an average of 40 months when their
diets are sharply restricted and then enriched with vitamins and proteins. Assuming that
the lifetimes of 20 such mice are normally distr
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
Assignment 4
Exercise 1 (5 marks)
If a fair coin is tossed 50 times, use the normal curve to
approximate the probability that the average number of
heads is between 24 and 25 inclusive.
Exercise 2 (6 marks)
Suppose that a machine filling miniboxes of rai
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
Assignment 3
Exercise 1 (17 Marks)
An analysis is performed to investigate the relationship between
cardiovascular exercise and percent body fat. The summary statistics for 20
men and 30 women are:
Variable
# hrs cardio exercise
Men
Mean SD
4.7
2.2
20.1
3
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
1
Assignment 2
Exercise 1 (13 marks)
Pea plants contain two genes for seed color, each of which may
be Y (for yellow seeds) or G (for green seeds). Plants that contain
one of each type of gene are called heterozygous. According to
the Mendelian theory of
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
1
Assignment 1
Exercise 1 (8 marks)
Charity is a big business in the United States. The Web site
charitynavigator.com gives information on roughly 5500 charitable
organizations, and there are many smaller charities that fly below the
navigators radar scre
University of Ontario Institute of Technology (UOIT)
Statistics for Bioscience
STAT 2020

Fall 2015
STAT 2020U
MIDTERM: November 4, 2015
Section 002(A)
First Name
Last Name
Student Number
Signature of Student
Instructions:
Use a pen to fill in the front page. All midterm answers should be
written in ink. No whiteout is allowed. If a midterm is written