Tomas Kovarik: Statistics1: Part1 (Descriptive)
PART 1
DESCRIPTIVE STATISTICS
Summary:
Statistics
Descriptive
Inferential
Data
Quantitative (Discrete or Continuous)
Qualitative (Categorical)
Sampling
Population vs Random Sample
Population (Parameters)
Sam
Dr. Tomas Kovarik: LectureNotes3 (Basic Probability)
BASIC PROBABILITY
Summary:
Statistical
Activity resulting in uncertain outcomes
Experiment
Sample Space S
The set of all outcomes of an experiment
Event E
Any subset of a sample space
Combining Events
a
Dr. Kovarik: Lecture notes 7 (Chi Square Procedures)
1
CATEGORICAL DATA ANALYSIS, GOODNESS OF FIT, INDEPENDENCE AND
HOMOGENEITY TESTS
Goodness of Fit Test:
Observed
Expected
The
The squared
Frequency O
Frequency E
difference
difference
E n f n p
OE
O1
E1
1
Problem Set 5
1) The following data came from a normal distribution
2,6,4,7,6,4,2,7,9,2,4,7,2,10, 15,13,Construct a 95% confidence interval for the population
mean
2) Researcher wants to investigate if the mean annual income of people in New Jersey is
m
Dr.K. Problem Set5: Normal Variables
NORMAL VARIABLES, SAMPLING DISTRIBUTIONS
1) Suppose that a Population has normal distribution with mean 100 and standard
deviation 12. This means X N (100,12)
a) Draw the normal curve for the population
b) Find the Fir
Josie Novak
November 16, 2015
Proof Practice
Problem 15
Theorem 1. If x and y are two integers whose product is even, then at least
one of the two must be even.
Proof. We will prove this by contradiction. Let x and y be integers whose
product is even and
Josie Novak
November 16, 2015
Practice Problems
Problem 1
Theorem 1. For a positive integer n,
1
1
1
n
1
+
+
+ . +
=
.
12 23 34
n(n + 1)
n+1
Proof. We will prove this by way of induction.
Base Case
Notice that when n = 1,
1
2
= 12 .
Induction Hypothesis:
November 21, 2010
Childhood Obesity and Education
INTRODUCTION
Over the last decade, the obesity epidemic has become a mainstream topic of concern. Compounded by
other factors such as the increase in consumption of high fat foods and the elimination of ph
05 November 2010
Proposal for a Study on Education Rates and Obesity
Motivation
Two topics have been plaguing the media recently: obesity and education. We would like to see how the
two are related. Obesity has become a growing problem with many negative
Math 107 B
13 October 2010
Education Rates and Obesity
Two topics have been plaguing the media recently: obesity and education. We
would like to see how the two are related. Obesity has become a growing problem with
many negative side effects. The health
Purpose
The purpose of this study is to discover the relationship between obesity amongst
children and education rates. Our study will ideally provide new insight to the correlation
of these two factors. This study was designed to inform as to whether or
Math 107 B
1 December 2010
Culture Points (Talk)
This Monday I attended a Math Society Epsilon Talk which was given by a
professor, the name of whom I do not recall. The subject of said talk was interesting
numbers and sums. He began by explaining how the
Math 107 B
6 December 2010
Culture Points (Article)
An article on Yahoo! News listed the most and least brainiest cities in America.
Among the top were Boulder, Colo., home of the University of Colorado; Ann Arbor,
Mich., home of the University of Michiga