Mathematical Notation
Math 113 - Introduction to Applied Statistics
Use Word or WordPerfect to recreate the following documents. Each article is worth 10
points and should be emailed to the instructor
Introduction to Probability
Sample Spaces
A sample space is the set of all possible outcomes. However, some sample spaces are
better than others.
Consider the experiment of flipping two coins. It is p
Regression
The idea behind regression is that when there is significant linear correlation, you can
use a line to estimate the value of the dependent variable for certain values of the
independent var
Definitions
Statistics
Collection of methods for planning experiments, obtaining data, and then
organizing, summarizing, presenting, analyzing, interpreting, and drawing
conclusions.
Variable
Characte
Name Detective
Project Owners: Jacquelyn Spence, Angela Thunder
Project Company: Finding Unusual But Amazing Results Detective Co.
One College Park Rm. 137
Decatur, IL 62521
(555) 555-5555 ext. 555
In
Name Discrimination?
Jacquelyn Spence, Angela Thunder
Observed Results
In class, we collected data from Math 113 about who they would like to have as their team
member. Your team then looked for suspi
Skittles Mass: WildBerry
J Spence, A Thunder, J Damery
Skittles claims that there are 61.5 grams in each bag. From a statistical perspective, we are
interested in the average of a group of bags, rathe
J Spence, A Thunder, J Damery
Subway Ridership
Data
Variable N Mean StDev Minimum Maximum Skewness Kurtosis
rides
63 12589 1147 10390 15150
0.27
-0.72
Histogram
The histogram shows that the data is co
Keys to the Future
An Explanation of
Factors of College Readiness
J Spence, A Thunder, C Jackson, J Damery
MATH 113-01
December 12, 2016
Abstract
This report explores the correlation between a high sc
David Kolb published a learning styles model in 1984. It can function either as a four stage cycle
of learning or a set of distinct learning styles. The distinct learning styles are organized on a
gra
Road Conditions
J Spence, A Thunder, J Damery
Data Dictionary
Response Variable
Our response variable is Roads, which is the percentage of roads in the state that were in good
or very good condition a
Probability Rules
"OR" or Unions
Mutually Exclusive Events
Two events are mutually exclusive if they cannot occur at the same time. Another
word that means mutually exclusive is disjoint.
If two event
Probability Distributions
Probability Functions
A probability function is a function which assigns probabilities to the values of a
random variable.
All the probabilities must be between 0 and 1 inclu
Introduction
Population vs Sample
The population includes all objects of interest whereas the sample is only a portion of
the population. Parameters are associated with populations and statistics with
Conditional Probability
Conditional Probability
Recall that the probability of an event occurring given that another event has already
occurred is called a conditional probability.
The probability tha
Frequency Distributions & Graphs
Definitions
Raw Data
Data collected in original form.
Frequency
The number of times a certain value or class of values occurs.
Frequency Distribution (Table)
The organ
Central Limit Theorem
Sampling Distribution of the Sample Means
Instead of working with individual scores, statisticians often work with means. What
happens is that several samples are taken, the mean
Counting Techniques
Fundamental Theorems
Every branch of mathematics has its fundamental theorem or theorems.
Fundamental Theorem of Arithmetic
Every integer greater than one is either prime or can be
Graphing Assignments
Math 113 - Introduction to Applied Statistics
You may work with one other person on each of these graphing assignments. You do not
have to work with anyone else, but you may find
Correlation
Sum of Squares
We introduced a notation earlier in the course called the sum of squares. This notation
was the SS notation, and will make these formulas much easier to work with.
Notice th
Importance of the Normal Distribution
Parametric Hypothesis Testing
All parametric hypothesis testing that we're going to perform requires normality in
some sense.
Population Mean
Either the populatio
Binomial Probabilities
Binomial Experiment
A binomial experiment is an experiment which satisfies these four conditions
A fixed number of trials
Each trial is independent of the others
There are only
Normal Distributions
Any Normal Distribution
Bell-shaped
Symmetric about mean
Continuous
Never touches the x-axis
Total area under curve is 1.00
Approximately 68% lies within 1 standard deviation of t
Normal Approximation to Binomial
Recall that according to the Central Limit Theorem, the sample mean of any
distribution will become approximately normal if the sample size is sufficiently large.
It t