Lab 1: Separation of an Unknown Mixture
Reading
Zubrick: Chapters 10 (Drying Agents), 15 (Extraction and Washing), 19 (Clamps and
Clamping), and 22 (Rotary Evaporator). Appendix 4 (about pre-lab and lab report), 6
(about rotovap) of this manual.
Summary
I
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 15
M4
ALGEBRA II
Lesson 15: Sampling Variability in the Sample Proportion
Student Outcomes
Students understand the term sampling variability in the context of estimating a population proportion.
Students under
10/31/16
Clicker Question #1
The p-value is
A. the probability that the null hypothesis is true.
B. the probability that the null hypothesis is false.
C. the probability that the test statistic had the observed
result or more extreme if the null hypothesi
12/5/16
Announcements
FINAL EXAM
Lecture Homework 10 is due at 4PM on Tuesday, 12/6
Submit Lab Practice 11 on Blackboard by
Friday, 12/9
Final Exam on Monday, 12/12 at 6:30PM
The Final Exam is cumulative and consists of 45 multiple
choice questions
N
Lab 10: Inference for Categorical Data
Overview
In this lab we do analysis of categorical variables. This includes tests of a single proportion, tests comparing two proportions, and the chi-squared test of association. We also examine the chi-squared dist
10/25/16
Clicker Question #1
H 0: p = 0.5 vs. Ha: p 0.5
131/282 (46.5%) voted yes, z = -1.19, p-value = 0.23
Hypothesis Testing about
a Single Mean
Do you think a 95% CI for p would contain p0 = 0.5?
A. The 95% CI for p would contain 0.5.
Wednesday, 10/26
QTM 100
Final Exam Review
Analyzing the Association Between Categorical Variables
The chi-squared test can be used
for two categorical variables
when categorical variables have > 2 categories
when it isnt clear which variable is the response and which
11/27/16
Clicker Question #1
Consider a hypothesis test about a quantitative variable, such as
": = " vs ': "
Increased variability in the quantitative variable would result in
_ p-values.
A. larger
B. smaller
C. equivalent
D. different, but canno
9/18/16
Clicker Question #1
An advertisement for a new treatment for psoriasis states
that the drug has a 40% chance of being effective.
How would you interpret a patient undergoing
treatment experiencing symptom
improvement?
A. Certain to happen
B. Likel
Lab 9: Inference for Quantitative Data
Overview
In this lab we do analysis of quantitative variables. We perform analysis of dependent, or paired data,
with the paired t-test. We perform analysis comparing a quantitative response in two independent groups
11/14/16
Overview
Inference for Categorical Data
continued
Monday, 11/14
Chi-squared (2) test of
association/independence
Strength of the association
Alternatives
QTM 100 Survey Data
Major Classification
Humanities
Double
Major?
QTM 100 survey data fr
11/16/16
Clicker Question #1
University officials note that 71 out of 105 male faculty members are
tenured, compared to 63 out of 77 female faculty members. A researcher
wants to estimate the difference in the proportion of male and female
faculty members
11/29/16
Clicker Question #1
What is your best guess of the
correlation between x and y?
A. -2
B. -1
C. -0.7
D. 0
E. 0.7
F. 1
G. 2
Overview
Residuals
Sums of squares
Regression models
Assumptions for Linear Regression
Predicting y
More on Linear Regressio
QTM 100: Midterm Exam 1
Name:
Section: 10AM or 4PM
TA:
Midterm Exam 1 Cover Page
Midterm Exam 1 Cover Page
Instructions:
Circle your section, write your name, and write your TAs name on this cover page.
Write your name, student ID number, and the exam v
1. Explore inferential results when we repeatedly sample from height_m.
(a) Examine the population distribution of height m.
Describe the shape of the population distribution.
The data and observations are basically unimodal and bell-shaped with a normal
Lab 3: Summarizing and Visualizing Data
Overview
In this lab we begin working with different types of variables. We obtain numeric summaries of quantitative and categorical variables, and we also do so by groups. We produce basic graphs for quantitative a
1-sided or 2-sided Ha ?
Data
Hypothesis test about a mean
CI vs Test
HW
1-sided or 2-sided Ha ?
Data
Hypothesis test about a mean
CI vs Test
HW
Clicker
z=
p p0
p p0
=q
sep0
p0 (1p0 )
Lecture 15: More on Hypothesis Testing
n
Holding p0 and p fixed, what wo
QTM100: Introduction to Statistical Inference
Fall 2016
Jeremy Jacobson
Contact Information
Office
E-Mail
Institute for Quantitative Theory and Methods (Modern Languages), 403
[email protected]
Course Format
The class consists of two weekly lect
Review
Data
Steps 1-4
Step 5
Step 6
Step 7
HW
Review
Data
Steps 1-4
Step 5
Step 6
Step 7
HW
Clicker
In 2000, research indicated that the proportion of Americans who
were vegetarian was 0.15. A recent random sample of 1500
Americans shows that the proporti
CI vs Test
p-values
Testing Considerations
HW
CI vs Test
p-values
Testing Considerations
HW
Clicker
Suppose I performed a hypothesis test at the = 0.01 level of
significance about the average GPA of Emory students as follows:
H0 : = 3.55 vs Ha : 6= 3.55.
Exam Content
Practice
Exam Content
Practice
Clicker
Suppose that 80% of Americans prefer milk chocolate to dark
chocolate. Is the sampling distribution of the sample
proportion that prefers milk chocolate approximately normally
distributed for samples of
Gillian Hecht
03/25/16
10 AM QTM 100 Lab
Lab 8 Practice
1.
a. The population distribution is unimodal and normal. The true population
mean is 1.69. The true population standard deviation is 0.10.
b. Sampling distribution assumptions are satisfied because
Gillian Hecht
03/18/16
QTM 10 AM Lab
Lab 7 Practice
Questions
1. All course evaluations for the same professors were deleted from the data set
2.
a. 94 different professors are in the dataset
b. The mean average beauty rating is 4.59 and the standard devi
Lab Section: QTM 100-LE11
Lab Practice 7
2)a. There are 18 variables and 94 professors in the no_dups dataset that was a modified version
of the CourseEvals data set.
b. The mean of the average beauty rating of the professors in no_dups is 4.59 with a sta
Olivia Morgan
Group Members: Madison Mainman and Sydney Portigal
Lab Practice 2
1. What are the variable (column) names in this data set?
a. The variables I observed were years, boys, and girls
b. #code shows the variables in the dataset
names(present)
2.
Olivia Morgan
Group Members: Madison Mainman and Sydney Portigal
Lab Practice 3
1. How many observations are there?
There are 276 observations and 7 variables.
#this code shows the variables and observations in the data set (data frame)
str(ADNI)
2. What
#*
*
#QTM 100 Lab 1: Introduction to R and RStudio
#*
*
#-#R can be used as a calculator
#-2+2
#-#R can be used to generate numbers
#-1:20
#-#R can be used to create and work with objects
#-x<-c(2,3,5,7)
x*x
#-#R can be used to create plots
#-
Lab Practice 6
QTM 100- LE11
1. The data has an unusual feature where there is missing data, marked NA, for some of the
observations. There is a probably presence of a nonresponse bias because we can infer that missing data could be
due to participants ch
Lab practice 8
1a. It is a bell shaped that is approximately normal. The population mean is 1.687. The standard
deviation is 0.10.
1b. The assumptions are satisfied for valid inference because the samples were randomly
selected, are independent of each ot