Axiom of Extensionality Let A and B denote any sets. If A and B denote the same set, we write A = B, and A = B iff for every x, (x A iff x B) Axiom of Separation Let D be a set and let (x) be a predic
Notes on Chapter 5 - Part 2 - Standard Scores and the Normal Curve
Notes on Chapter 5- Part 2
Standard Scores and the Normal Curve
Here is a rather long mini-lecture on the normal curve. I hope you fi
Notes on Chapter 6 - Correlation - Part 1 - Determining the Relationship Between Variables
Notes on Chapter 6:
Correlation - Part 1
Some comments on chapter 6.
Chapter 6 is about the concept of correl
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Notes on Chapter 8 - Part 1
Inferential Statistics
As I mentioned earlier in the course, the purpose of inferential statistics is to allow a
researcher to draw
Notes on Chapter 10 - Part 2 - Hypothesis Testing - Sample Problem
Notes on Chapter 10 - Part 2
One Sample z Test - Sample Problem
Here is Part 2 of my 'mini'-lecture on Chapter 10:
Lets use the examp
Notes on Chapter 5 - Part 3 - Answering Questions with the Normal Curve Table
Notes on Chapter 5 Part 3Answering Questions with the Normal Curve
Table
Part of Chapter 5 is about using the Normal Curve
Normal Curve Problem Tips 1
Tips on Solving Normal Curve Problems Use When Required to Find a Proportion or a Percent
I am going to give you some pointers about solving normal curve problems. As
I sai
Notes on Chapter 11- Part 2
Statistical Decisions and Errors
Some additional topics from Chapter 11.
Chapter 11 is a further discussion of the logic behind statistical hypothesis
tests. Basically, sta
Notes on Chapter 9 - Sampling Distribution of the Mean
Notes on Chapter 9
The Sampling Distribution of the Mean
Some thoughts on Chapter 9.
When we do research, we make our measurements on samples rat
Notes on Chapter 11-Part 1 - Directional Hypothesis Tests and Strong vs Weak Decisions
Notes on Chapter 11 - Part 1
Weak /Strong Decisions and
Directional/Non-Directional Tests
Chapter 11 is a continu
Notes on Chapter 8 - Part 2 - Probabilities
Notes on Chapter 8 - Part 2
Probabilities
In addition to introducing inferential statistics, Chapter 8 discusses the simple rules of
probability. These rule
Notes on Chapter 5 - Part 4 - Other Standard Scores
Notes on Chapter 5 - Part 4
Other Kinds of Standard Scores
In Chapter 5, we also revisit the topic of standard scores. Z-scores are simply one type
BHSC/PSYN/SOCL370DLA
Statistics for the Social and Behavioral Sciences
Spring 2016
Quiz 1
Name: Jennifer Hannigan
Date: Tuesday, February 16, 2016
Dr. M. Knopp Kelly
Part 1- Instructions: Please selec
Normal Curve Problem Tips 2
Tips on Solving Normal Curve Problems 2-
Use When Required to Find a Scores
This message provides some tips on solving Normal Curve problems in which
you are asked to find
CS313K: Logic, Sets and Functions, Spring 2013
Additional Problems
We use i, j, k, m, n as variables for nonnegative integers, and x, y as
variables for real numbers.
1. For each of these formulas det
CS313K: Logic, Sets and Functions, Spring 2013
Additional Problems
1. Recall that the absolute value and the sign of a real number x are dened
by the formulas
x,
if x 0,
|x| =
x, otherwise;
1, if x <
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 12, Due March 5
Recall that the sequence of Fibonacci numbers is dened by the equations
F0 = 0,
F1 = 1,
Fn+
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 8, Due February 19
1. Use induction to prove the formula
n
i=1
1
n
=
.
i(i + 1)
n+1
2. The sequence V1 , V2
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 10, Due February 26
1. Prove that for all integers n 10, 2n > n + 1000.
2. Prove that for all nonnegative i
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 6, Due February 5
1. In Homework Assignment 5 we dened the sequence C1 , C2 , . . . by the
formulas
3n, if
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 11, Due March 1
1. For any nonnegative integer n, let f (n) be the product of all odd numbers
from 1 to 2n
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 9, Due February 22
1. Use induction to prove the formula
n
i3 =
i=1
n2 (n + 1)2
4
for all nonnegative integ
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 7, Due February 15
The sequence S1 , S2 , S3 , . . . is dened by the formula
n
i2 .
Sn =
i=1
1. Rewrite the
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 2, Due January 22
In the following problems i, j, k are variables for nonnegative integers.
1. Represent th
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 3, Due January 25
1. Recall that harmonic numbers are dened by the formula
k
Hk =
i=1
1
.
i
Calculate H101
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 4, Due January 29
We use n as a variable for nonnegative integers, and x as a variable for real
numbers.
1.
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 1, Due January 17
In the following problems, x is a variable for real numbers.
1. Simplify each of these fo
Name:
Discussion section:
CS313K: Logic, Sets and Functions, Spring 2013
Homework Assignment 5, Due February 1
1. Function f is dened by the formulas
f (x) =
1 + x, if x 0,
1 x, otherwise.
(a) Rewrite
Notes on Chapter 6 - Part 2 - Correlation Sample Problem with Alternative Formulas
Chapter 6 - Part 2 Calculating the Pearson r A Sample Problem
In Chapter 6, the computational formulas presented in t
Notes on Chapter 12 - Estimating the Population Mean
Chapter 12 -
Estimation and Confidence Intervals
If you remember from my notes introducing inferential stuatistics, I suggested that
one of the pur