Section 9.
INTERVAL ESTIMATION OF POPULATION
MEAN: SIGMA UNKNOWN
Confidence Intervals for One
Population Mean when 0 is unknown
- Standardized version of sample mean is
i - u
z =
o/J
has the standard normal distribution.
° What if, as is usual in practice
Chapter 6
Sections 6.1-6.3
Section 6.1: Types of Random Variables
Random variables a variable that assumes numerical values associated with the random outcomes of
an experiment, where one (and only one) numerical value is assigned to each sample point.
Ex
Chapter 9: Estimating Means and Proportions: Single Samples
CI of Proportions
Section 9.1: Identifying and Estimating a Target Parameter
Target Parameter
The UNKNOWN population parameter:
p
Point Estimate
The Single Statistic from our sample data that is
Chapter 7: Continuous Random Variables
Continuous Probability Distribution
Recall what a Histogram for Bell-Shaped Continuous Random Variable Looks Like
When you smooth the curve the function that forms is represented by f(x). (This function is the
prob
WORKSHEET 1: Chapter 3 Graphical Displays
NAME: _
SECTION:_
Worksheets are to be completed as individual work.
On my honor, I have neither given nor received inappropriate or unauthorized information during the
completion of this worksheet.
Students Signa
Section 10.8: Test of Hypothesis about Population Variance (St. Dev.)
Test of Hypothesis about Population Variance (OR Standard Deviation)
Most inferences are about population mean or population proportion however, it is sometimes
of interest to perform
08/25/2015
Jan 29, 2015
Chapter One
(Hawkes LearningSystem HLS)
Dr. Gary Fellers
Managers often conduct controlled
experiments. In these cases, input conditions will be
varied between two or more groups and the numerical
outputs contrasted. For example, w
Sections 5.5 & 5.6 Probability Rules: Independence, Multiplication Rule, and Conditional Probability
Conditional Probability The probability of an event B given information about another event A.
Read as Probability of B given A
P( B | A)
P( B | A)
P( A
Chapter 6
Sections 6.1-6.3
Section 6.1: Types of Random Variables
Random variables a variable that assumes numerical values associated with the random outcomes of
an experiment, where one (and only one) numerical value is assigned to each sample point.
Ex
Chapter 1 Vocabulary
1. Statistics The science of gathering, describing, and analyzing data.
2. Population The particular group of interest. That is, all persons or things being studied.
3. Data Information, in particular, information collected for a stud
WORKSHEET 2: Chapter 4 Descriptive Statistics
NAME: _
SECTION:_
Worksheets are to be completed as individual work.
On my honor, I have neither given nor received inappropriate or unauthorized information during the
completion of this worksheet.
Students S
STAT 3090 Formula Sheet 2 Hawkes
Discrete Probability Distributions:
2 = E ( x )2
Binomial Distribution:
=
2
2
P( x) 2
Poisson Distribution:
n
= p x (1 p ) n x
P( x)
x
n
n!
=
x x!(n x)!
= np
( x P( x) )
= ( x ) P( x) = x
= E ( x)
=
P( x) =
x e
A
For each of the following give the probability statement (ie, P( ) = ) and the correct value to4
decimal places. Show work where appropriate for full credit.
1./<Nhich of the following numbers could not possibly be probabilities? Justify your answer.
/
Chapter 6
Sections 6.5 & 6.6
Section 6.5: Binomial Distribution
Characteristics of a Binomial Experiment
1. There are only two outcomes in each trial of the experiment (success and failure)
2. The experiment consists of n identical trials.
3. The probabil
Chapter 6
Sections 6.5 & 6.6
Section 6.5: Binomial Distribution
Characteristics of a Binomial Experiment
1. There are only two outcomes in each trial of the experiment (success and failure)
2. The experiment consists of n identical trials.
3. The probabil
Chapter 8
Section 8.3
Sampling Distribution
x
p
The Sampling Distribution of a sample statistic ( , m , ^ ) calculated from a sample of n
measurements is the probability distribution of the statistic.
Sampling Distribution of Sample Mean
Population Mean o
Sections 7.3b and 7.3c The Normal Distribution
Finding Probability for Normal Random Variables ( not 0 and/or not 1)
Now that we know how to find probabilities of standard normal random variables we need to know
how to find probabilities of a normal rando
Chapter 2: Data, Reality, and Problem Solving
Section 2.1-2.4: The Reality of Conducting a Study
It is not easy to just go out and collect data.
Ethical concerns
Practical concerns
Prior to beginning a research study:
Approval from an Institutional Rev
Chapter 10 Hypothesis Testing Overview
The Elements of a Test of Hypothesis: HATS
Hypothesis
Assumptions
Test
Summary
HYPOTHESIS
A statistical hypothesis is a statement about the numerical value of a population parameter.
Null Hypothesis:
The null hyp
3.3 And 3.4 Pie Charts, Bar Charts, and Frequency Distributions
Purpose of Graphs
Convey information immediately
Can have more impact than text, lists, or tables
Persuasive
Often bring out hidden relationships and general trends
Can be more attractiv
Chapter 6 STAT 3090 Fall 2016
Discrete Random Variables
Chapter 6 Objectives:
Identify and define the random variable of an experiment
Identify the possible values of a random variable
Identify a random variable as discrete or continuous
Recognize the pro
Name:_
Chapters 6 - 8 Daily Activity 2
Group Members Present: _, _, _
1. A friend of yours is always late. Let X represent the time from when you are supposed to
meet your friend until he shows up. He could be anywhere from 2 to 32 minutes late, each
inte
Names (team): Section 1:25 2:30
Regression Practice Problems:
Heres the deal. We/you (in pairs) will work through each of these problems.
One of you will use Excel and one will use MiniTab. The interpretation will be the
same; you will not be able to turn
CHAPTER 4:
SECTION 4.7 PROPORTIONS
DEFINITION
A proportion measures the fraction of a
group that possesses some
characteristic.
FORMULAS
Sample Proportion
x
p
n
x number of observation that possess the characteristic
n = number of observations in the sam
Chapter Three
Organizing, Displaying and
Interpreting Data
Section 3.3: Displaying Qualitative Data Graphically: Pie Charts and Bar
Graphs
Graphs are often a better way of displaying data and seeing trends than just in a data set.
A good graph will includ