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
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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]
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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
Statistics 11 Project Name tags 5 it 1 1
Chapter 8 —10 Please put your phone number in the b y of ' e e ail.
Show all work as done on the Sample Project. (I will call if 1 have trouble downloading it.)
Please also use the Sample Calculator Solutions as
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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
problems from Chapters 8 10 to be fully prepared.
idiom
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 of the answers to questions 1 16
Section 7.2 Z Test for a Mean
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, a researcher selects a sample of 30 hotel rooms and find
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Orientation Letter
Elem of Stats II MTH 112OL5 Summer 2015 online
The class officially starts & the site will be up and running on 5/26/15 7/6/15
Professor: Dr. Monticelli
Office Hours: Tuesdays 8 9 am via emai
2015Testing Summary MTH 112OL5
For each unit, please do the HW from the book as listed on the HW SHEET
using my SAMPLE CALCULATOR SOLUTIONS as a guide and check your
answers with my HW ANSWERS.
There will be one Major Project downloadable from
Dates
Week
May 26June1 Week 1:
June 18
2015 Course Schedule MTH112OL5
Mon June 1 at 12 noon deadline for the 10 point extra credit and
deadline to request a proctor if you live more than 25 miles from C
1
Hypothesis Testing
Def.
The null hypothesis (denoted by H0) is a statement that the value of a population parameter
(such as proportion, mean, or standard deviation) is equal to some claimed value. This is the statement
that is under investigation or be
Camden County College
MTH111 Final Exam Sample Questions
1. The collection, organization, summarization, and presentation of data is called:
a. Inferential statistics
c. Sampling
b. A Population
d. Descriptive statistics
For problem #2 and #3 Identify as
1.
INTRODUCTION to STATISTICS
REVIEW CHAPTERS 7 and 9 Solutions
A refrigerator manufacturer claims that the mean life of its refrigerators is about 15 years. You
are asked to test this claim. How would you write the null hypothesis if:
(a) you represent t