Module 11
Sampling Distribution
Chapter 6 Sections 6.4
Given the data is normally distributed
2
Sample taken from a Normal Distribution
Then, regardless of the sample size, , the sampling distribution
will follow the normal probability distribution.
3
1
S
Module 8
Discrete Probability Distributions
Chapter 5 Sections 5.1-5.3
Introduction
RANDOM VARIABLES
2
Statistical Experiments & Random Variables
Recall, a statistical experiment is any process by which
measurements are obtained for a given variable. That
Basic Probability Transcript
In this example, consider a coin tossed several times. Using this application we are able
to set the number of trials currently set at one and adjust the probability of heads
currently set to be 50%, or represent a fair coin.
Lesson 6
NYS COMMON CORE MATHEMATICS CURRICULUM
75
Lesson 6: Using Tree Diagrams to Represent a Sample Space
and to Calculate Probabilities
Student Outcomes
Given a description of a chance experiment that can be thought of as being performed in two or mor
Conditional Probability Transcript
In this presentation, we cover dependent and independent events. And probabilities that
use counting techniques such as combination. Two events are independent if the
probability that they both occur, the probability of
Module 9
Binomial Probability Distributions
Chapter 5 Sections 5.4-5.5
Binomial Probabilities
There are a fixed number of trials: n. These n trials
are independent and repeated under identical
conditions
Each trial has only two outcomes: True/False,
Suc
Discrete Distribution Transcript
In this presentation, we discuss the effects of adding a constant or multiplying by a
constant in expectation and variance. In this example, the original data set is five, three,
four, three, three, with expectations of 3.
Module 12
Normal Approximation to the Binomial
Chapter 6 Sections 6.6
Binomial Probabilities
P(r ) n Cr p r (1 p) n r
p P( S )
n number of trials
r number of successes
2
Mean & Standard Deviation
P(Success ) P( S ) p
P( x successes in n trials )
P( x) n
Binomial Probability Distributions Transcript
Consider the binomial distribution for three trials, where the probability of success is
50%. If you try three times, then you may succeed zero times, one time, two times, or
three times. The probability of th
Sampling Distribution Transcript
In this presentation, we discuss the normal distribution, its properties and computing
probabilities. The normal probability distribution is such that the mean is equal to the
median is equal to the mode. That is, no matte
m10_normal_dis
In this presentation we discussed a normal distribution its properties and computing probabilities. The
normal probability distribution is such that the mean is equal to the median is equal to the mode. That is
no matter how you look at the
Set Theory Transcript
In sets, the largest set is called the universe. In probability, this is referred to as the
sample space. Inside the universe, there are sets. If there only one set, we will call this set
A. These constitute the points in A.
If we ha
Module 7
Conditional Probability & Counting Techniques
Chapter 4 Sections 4.6-4.7
Conditional Probability
Let and be any two events from the
same sample space . We denote the
conditional probability of event , given
that event has occurred, denoted by
(|)
Stats Exam 2
Study online at quizlet.com/_18t6mh
1.
Alternative
hypothesis
Ha; statements about unknown parameter
2.
are results
SI if p-value
is small?
yes
3.
assumptions
for CI for
pop mean
original distribution is normal or n is greater
than or equal t
Module 1
Terminology & Sampling Techniques
Chapter 1 Sections 1.1-1.7
What is Statistics?
Statistics (as opposed to statistic) is the
science
of
gathering,
organizing,
analyzing, and interpreting numerical and
categorical information.
Statistics is the ar
Combinations and Permutations:
(Think of it as advanced counting)
With Combinations order does not matter (I want to form a group of 3 from 5 people how many ways
can I do this?) notice in this question it is not implied that the order in which I select t
COURSE SYLLABUS
STA 2023: Introduction to Statistics I
ONLINE
Department of Mathematics and Statistics
College of Arts & Sciences
University of South Florida
Course Coordinator:
Instructor:
Dr. Rebecca D. Wooten
Jason Burgess
Term:
[email protected]
Fall 20
Module 5
Basic Probability
Chapter 4 Sections 4.1-4.3
Introduction
SET NOTATION
2
Introduction to Symbolism
ENGLISH
LOGIC
SET THEORY
(Read)
p,q,r
P,Q,R
And
p q
P Q
Or
p q
P Q
Not
~p
P or P c or P
Implies
pq
PQ
3
1
Names of Symbols
SIGN
Statement
LOGIC
SIG
What is Statistics? Terminology and Sampling
Techniques Transcript
Before you is a map of chapter one in The Joy of Statistics.
What is statistics? Statistics is the science of gathering, organizing, analyzing, and
interpreting numerical and categorical i
Module 10
Normal Probability Distribution
Chapter 6 Sections 6.1-6.3
Probability Distribution
CONTINUOUS
2
Continuous Distributions
3
1
Continuous Random Variable
A random variable which can assume an
infinitely large number of values
associated with the
PROJECT 1: DICTIONARY
Create a dictionary of at least 50 terms from the Terminology List located on the next three
pages. There are 189 terms given on the list; many of which will be on the first tests as well as
commonly used throughout the semester. You
Module 6
Probabilities
Chapter 4 Sections 4.4-4.5
Property 1
Probability of the Complement
Property 1
If A is any event of the sample space S,
then
PA 1 P A
where denotes the complement of
event .
2
Property 2
Probability of the Empty Set
Property 2
If is
STA Notes Ch. 7Point Estimates and Confidence Intervals
Point Estimates
Sample mean,
x the point estimate for the population mean,
Sample variance, s2 the point estimate for the population variance, 2
Sample standard deviation, s the point estimate for t
STA Ch. 8 NotesHypothesis Testing
Hypothesis Testing
Five Interrelated Definitions of Hypothesis
1. A proposition put forward merely as a basis for reasoning or argument, without any
2.
3.
4.
5.
assumption for its truth
A subordinate term forming part of
CHAPTER 1
_ is the study of how to collect, organizes, analyze, and interpret numerical
information from data.
Type: Multiple Choice
Points Awarded: 1/1
Your Answer(s):
Statistics
Question 2:
A _ variable has a value or numerical measurement for which
ope
Question 1:
Given that the population mean is 132 and the population standard deviation is 26 on a continuous
normally distributed scale. Find a such that
P(x a) = 0.9904
Given probabilities as a percent accurate to two decimals rounding conventionally; t