Test Three
Confidence Intervals and Hypothesis Testing
1. Identify the following critical values:
A. z 2 for a confidence level of 99%
B. t 2 for n = 15 and a confidence level of 95%
2. A NAPA Auto Parts supplier wants information about how long car owner
Emily Fliegel
MTH 145 Chapter 1.1/1.2 Notes
Table of Contents
Disclaimer.1
(1.1/1.2) Systems of Linear Equations/Row Reductions and Echelon Forms.2
Basics of Linear Equations and Systems.2
Matrices.6
Finding Solutions for Linear Systems.7
Answers to Pract
Emily Fliegel
Math 145 Chapter 1.7 Notes
1.7 Linear Independance
Introduction
A set of vectors is set of in Rn is linearly independent if the vector x1a1 + +
xnan = 0 has only the trivial solution. If it has a nontrivial solution, it is linearly
dependent
Emily Fliegel
Math 145 Ch 1.7 2.3 Notes [Type here]
Linear independence
One column independent if not the 0 vector
Two columns independent if not multiples of each other
Three columns Independent if one vector is a linear combination of others,
or if x1v
Emily Fliegel
Chapter 1.5 Notes
1.5 Solution Sets of Linear Systems
Homogenous Linear Systems
A linear system is homogenous if the answer to each linear equation is 0,
thus Ax = 0, where b is the 0 vector. Homogenous equations always have one
solution, th
Emily Fliegel
Chapter 1.4 Notes
1.4 The Matrix Equation
The product of an m x n matrix A and a vector v, denoted as Ax, is a linear
combination of the columns of A and the corresponding entries in x as
weights, in the form:
x1
x2
xn
a 1 a2 an
= x1a1 + x2a
Jennifer Alvarez
171008288
Carroll, Rory. Comandante: Hugo Chavezs Venezuela: Penguin Books, 2013
Rory Carroll is a journalist working for The Guardian who has reported from various
countries including: the Balkans, Afghanistan, Iraq and Latin America. Hi
List of abbreviations and standard notation used in statistics
Data sampling & sorting
ni (absolute) frequency (frequency count)
f i relative frequency
N i cumulative (absolute) frequency
Fi cumulative relative frequency
n number of observations or sample
I. ONESAMPLE TESTS:
MEAN
Z test for a Mean (section 7.2)
is known and the population is normal OR for any population when
is known and n 30.
T test for a Mean (section 7.3)
is not known and the population is normal OR for any population
wh
Section 7.2 Z Test for a Mean
is known and the population is normal OR for any population when
is known and n 30.
Sample Problem: GIVEN SAMPLE STATISTICS
*A survey claims that the average cost of a hotel room in Atlanta is $69.21. To test
the claim,
Emily Fliegel
Math 145 Chapter 1.3 Notes [Type here]
Table of Contents
Disclaimer.1
1.3 Vector Equations.2
Vectors in R2/Geometric Descriptions of R2.2
Vectors in RN.4
Algebraic Properties of Rn.5
Linear Combinations.5
Geometric Description of Span cfw_v
Emily Fliegel
MTH 145 Chapter 1.1/1.2 Notes
Table of Contents
Disclaimer.1
(1.1/1.2) Systems of Linear Equations/Row Reductions and Echelon Forms.2
Basics of Linear Equations and Systems.2
Matrices.6
Finding Solutions for Linear Systems.7
Answers to Pract
Package Title: Practice Questions
Course Title: IS 4e
Chapter Number: 4
Question Type: Multiple Choice
1) Precisely targeted attacks, usually in the form of personal messages from a known social contact, are referred
to as:
a) Spam.
b) Malware.
c) Spear p
Linear Algebra And It's
Applications Chapter 1 (1.11.7)
9/18/16
Chapter 1.1 Systems of Linear Equations
Linear Equation Basics
Linear Equations  An equation written in the form a1x1 + a2x2 + . + anxn = b, where b and all coefficients
a1 an are real numb
Math 145 Lesson 1 Lecture and
Textbook Notes
9/6/16
Chapter 1.1  Systems of Linear Equations
A linear equation is an equation written in the form a1x1 + a2x2 + + anxn = b.
Ex. 3x1  5x2 = 2 and 2x1 + x2 + x3 = 26.
Ex. 4x1  5x2 = x1x2 is NOT a linear eq
If I Were Studying For a Test
On Chapter 4, These Are the Things I Would
Be Sure To Know
1. Find the mean, range, standard deviation and variance for the sample data:
21
20
18
14
16
17
3
?
4
0.15
21
16
21
17
Mean =
Range=
Standard Deviation =
Variance =
2
Descriptive Statistics
Frequency Tables
Visual Displays
Measures of Center
1
Overview
Descriptive Statistics
summarize or describe the important
characteristics of a known set of
population
data
Inferential Statistics
use sample data to make inferences
If I were studying for a test
on Chapter 5, these are the things
I would be sure to know
1. Assume that a distribution has a mean of 0 and a standard
deviation of 1. What is the probability that z is:
a. Between 0 and 2.33 (.4901)
b. Greater than 2.05
(.
Overview
This chapter will deal with the construction of
probability distributions
by combining the methods of Chapter 2 with
the those of Chapter 4.
Probability Distributions will describe what will
probably happen instead of what actually did
happen.
1
Probability Distributions
Requirements for P(x) to be a probability distribution:
P( x) 1
0 P ( x) 1
Formulas:
Calculator:
x ' s in list L1
P ( x ) ' s in L2
xgP ( x)
nd
2 Quit
STAT
CALC
1var stat
L1 , L2
2 x 2 gP( x) 2
x gP( x)
2
2
Mean
Standard Dev
Hypothesis Testing General information
In statistical sense, a hypothesis is a conjecture or statement about a population, which may or may not be
true.
In this section we are going to discuss how we can use sample observation to test some bodys claim.
We
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Statistics I on the TI83 by Carla A. Monticelli
TI83 Plus Menu Tree
[STAT]
[2nd] [LIST]
_
_
EDIT
1:Edit
2:SortA(
3:SortD(
4:ClrList
5:SetUpEditor
CALC
1:1Var Stats
2:2Var Stats
3:MedMed
4:LinReg(ax+b)
5:QuadReg
6:CubicReg
7:QuartReg
8:LinReg(a+bx)
Statistics II Project
Chapter 8 10
Name_
Please put your phone number in the body of the email.
Show all work as done on the Sample Project.
(I will call if I have trouble downloading it.)
Please also use the Sample Calculator Solutions as a guide.
In o
Statistics II Sample Project
Chapter 8 10
Name_
Dr. C. Monticelli
1. a) The table below shows the weights of seven subjects before and after following a
particular diet for two months. Using a .01 level of significance, test the claim that the
diet is ef
Practice Final Exam on Chapter 8 11.
MTH112 OL
Dr. Monticelli
Be sure to study the Practice Midterm/Sample Project as I will take 8 similar
problems from that document. You should also study your homework
prob
MTH 112 Elements of Statistics II Online HW SHEET
Dr. Monticelli
Review Statistics I by going through the TI83/84 in Statistics I Handout *

Please use SAMPLE CALCULATOR SOLUTIONS *(Ch 7 10) as a guide
16 Question Extra Credit Quiz
1) Please answer the following questions 1 16 with the correct short
answer. You will receive 1/2 point extra credit for each correct answer
for a max of 8 points extra credit.
2) All