Hypothesis Testing for a Single
Sample
1
Big Picture
Hypothesis testing provides a formal, well-recognized language
and structure for asking and answering questions about a complex
system or process
Helps us to state a decision point like drawing a line

ENME 392
Fall 2016
Written Homework #2 Discrete Distributions
DUE: Tuesday September 13, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.
Il

ENME 392 Statistics
Problem Solving Session
Chao Hu
huchaostu@gmail.com
+1-240-491-7219
4452 A.V.William Bldg
The University of Maryland
College Park, MD
ENME 392 Statistics
Problem 1: Single Sample Mean
Estimation
Description:
In an experiment to determi

ENME392 Statistics, Spring 2014
Written homework 1
Due in class on Tuesday Feb 11
1) You have a bag of 30 M&Ms, with 8 green, 7 yellow, 6 red, 5 blue and 4 black
M&Ms.
a. What is the probability of getting exactly 2 green, 2 yellow and 2 red
when picking

Overview
Material from Exam 1 is in play but not as major subjects in Exam 2
Subject areas:
Estimation & Sampling
CLT
Confidence Intervals
Single Samples
Two Samples
Hypothesis Testing
Single Samples
Two Samples
Means using same/different varianc

Hypothesis Testing
Reading/Video/Slide questions
1. What is a basic description hypothesis testing?
2. What is the null and alternate hypothesis?
a. What is critical about the alternate hypothesis?
b. Give an example of your own?
3. What are the steps for

Chi-Squared
1.
2.
3.
4.
What is goodness of fit? Give an example.
What is Chi-squared for homogeneity (independence?
How do you calculate the chi-squared for each?
What is the condition for accept/reject?
ANOVA
1. What is ANOVA? What are the requirements?

Regression Study Questions
1. What is a linear regression? What is the equation for it? How do you
determine the coefficients? What is noteworthy about the coefficients?
2. What is the standard error? Of what?
3. What is the correlation coefficient? Draw

ENME 392 Fall 2016
Written Homework #6 Hypothesis Testing II
DUE: Thurs October 27, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.
Illegib

Math 246
Sample Exam 2 - Time: 70 minutes
Dr. Ebrahimian
Your Exam 2 will approximately be of the same length as this sample exam. Do NOT ignore the material
not covered in this sample exam.
1a. Find the interval of definition of y 00 +
1
0
t2 10 y
+
3t1

ENME 392
Fall 2016
Written Homework #2 Discrete Distributions
DUE: Thursday September 13, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.
I

ENME 392 Fall 2016
Written Homework #5 Hypothesis Testing I
DUE: Tuesday October 18, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.
Illegi

ENME 392 Fall 2016
Written Homework #3 Continuous Distributions
DUE: Tuesday September 20, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.

ENME 392 Fall 2016
Homework #1
DUE: Thursday September 8, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.
Illegible scans will NOT be grade

Counting Techniques
1. Multiplication rule
2. Permutation rule
3. Combination rule
Sec 2-1.4 Counting Techniques
1
Probability
Addition Rule
Multiplication Rule
Conditional Probability
Independence & Mutually Exclusive
2
How many different ways can you p

ENME392 Statistics, Spring 2014
Written homework 2
Due in class on Tuesday Feb 18
1) A certain intersection has 3 traffic accidents/month, on average. What is the
probability in any given month that there are exactly 5 accidents?
Poisson distribution with

Probability
Understanding the basic principles behind
calculating and working with probabilities
1
Definitions
Events are sets of outcomes
Experiment is a process that generates data
Random Experiment is an experiment that, when repeated in the same
ma

Discrete Random Variables and
Discrete Probability Distributions
Understand how discrete probability distributions are
developed and how they are used/analyzed
1
Recap(itulation)
How to count
Sample spaces, Permutations, Combinations, Addition & Multipl

Statistical Inference Techniques
- Two samples (Parametric)
- Nonparametric testing
Reminder:
Exam 2 is Thursday November 6
Review and information about exam
Tues Nov 4
1
Overview
Other kinds of useful two-sample tests using chi-squared
Goodness of Fi

Analyze Phase
ANOVA
Six Sigma University of Maryland
1
Define
Six Sigma Tools and
Techniques
Measure
Six Sigma
Overview
Process
Mapping
Project Definition
Cause and
Effect
Diagrams
Introduction to
Minitab
Statistics for
Understanding
and Implementin

Continuous Random Variables and
Continuous Probability Distributions
Understand how continuous probability distributions
are developed and how they are used/analyzed
1
Recap(itulation)
How to count
Sample spaces, Permutations, Combinations, Addition & M

Joint Probability Distributions
Calculating and working with joint probabilities
and systems with more than one random
variable
1
Recap(itulation)
How to count
Sample spaces, Permutations, Combinations, Addition & Multiplication
Rules, Independence, Mut

ENME 392 Fall 2016
Written Homework #3 Continuous Distributions
DUE: Tuesday September 20, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.

Estimation,
Comparison of Means
Estimating the Difference of Two Means
Estimating the Difference of Means, Known Population Variance
If independent samples are taken from 2 populations with approximately normal
distributions and known variances, then to g

Analyze Phase
Chi-Squared Measure
Chi- Squared Test for
Homogeneity
Six Sigma University of Maryland
1
Learning Objectives
Familiarize with Chi-Squared Statistic
Understand applications of the statistic
Learn Chi-Squared Test for Homogeneity
Six Sigma

ENME 392 Fall 2016
Homework #1
DUE: Thursday September 8, 1159PM
Instructions:
Written assignments will be collected and graded ELECTRONICALLY via Canvas.
RULES:
Homework must be uploaded by 1159pm on the day it is due.
Illegible scans will NOT be grade

ENME392 Statistics, Spring 2014
Written homework 1
Due in class on Tuesday Feb 11
1) You have a bag of 30 M&Ms, with 8 green, 7 yellow, 6 red, 5 blue and 4 black
M&Ms.
a. What is the probability of getting exactly 2 green, 2 yellow and 2 red
when picking

CountingTechniques
1. Multiplicationrule
2. Permutationrule
3. Combinationrule
Sec21.4CountingTechniques
1
Probability
Addition Rule
Multiplication Rule
Conditional Probability
Independence & Mutually Exclusive
2
How many different ways can you pick 3 Ac

DOE Study questions.
1, What is DOE? What is the main output from DOE?
2. What is factorial design? How does it work?
3. What are the main effects? The interaction effects?
4. How do you determine which inputs effects are significant?
5. In a 2 level thre