Binomial Distribution
Lecture #11
September 25, 2015
Scenario: Roll a die 3 times
Question: Probability of rolling exactly 1 two?
Problem: Many different ways of getting 1 two
Answer: S = Success
F =
Multiple Comparisons
Lecture #30
November 18, 2015
Scenario: Compare monthly rent for one
bedroom apartment in three Pennsylvania cities:
Pittsburgh, State College, Philadelphia.
Reminder: With ANOVA,
Sampling Distribution of the
Sample Mean
Lecture #16
October 12, 2015
Scenario: SAT scores follow normal dist. with
mean = 1488 and std. deviation = 205
Question: Would you be surprised if a single
pe
Introduction to Simple
Linear Regression
Lecture #33
November 30, 2015
Question: What are some different ways we can
explore the relationship between two interval
variables?
Answers:
Scatterplot
Graph
Assessing the Linear
Regression Model
Lecture #34
December 2, 2015
Regression Line: = 0 + 1
0 and 1 are statistics for the intercept and slope
Like all statistics, 0 and 1 are usually close to the
tr
Introduction to Hypothesis
Testing
Lecture #19
October 19, 2015
Have a population with an unknown parameter
(such as , 2 , or ) that we want to learn more
about.
For right now, assume is the unknown p
Confidence Intervals and
Sample Size
Lecture #18
October 16, 2015
Scenario: SAT is designed to have an average
score of 1500. Take a sample of 40 students and
find that their sample mean is 1520
Quest
Inference for the Difference
of Two Means
Lecture #26
November 4, 2015
Scenario: Compare means of typing speeds of
users of QWERTY and Dvorak keyboards. For 20
QWERTY users, = 62 wpm and = 10. For 8
D
Sampling Distribution of the
Sample Proportion
Lecture #17
October 14, 2015
Binomial Distribution: a discrete probability
distribution that calculates of the probability of
observing a certain number
Inference for a Population
Proportion
Lecture #24
October 30, 2015
Scenario: Take a survey to determine percentage
of people who are left-handed. Of 80 people
surveyed, 12 answered they are left-hande
Analysis of Variance
(ANOVA)
Lecture #29
November 16, 2015
Scenario: Compare monthly rent for one
bedroom apartment in three Pennsylvania cities:
Pittsburgh, State College, Philadelphia.
Question: Are
Chi-Squared Test for
Independence
Lecture #32
November 23, 2015
Scenario: Take a survey of 500 people. Record
gender and handedness. Organize data in a table.
Question: Are gender and handedness
indep
Multiple Linear Regression
Lecture #36
December 7, 2015
Recall: In simple linear regression, we use a
single predictor variable to perform inference
about a response variable.
In multiple linear regre
Exponential Distribution
Lecture #15
October 5, 2015
Scenario: Number of students who seek help
with statistics follows Poisson distribution with
mean 3 per hour
10:00
9:00
9:03
9:20
9:32
exponential
Matched Pairs Test
Lecture #28
November 9, 2015
Scenario: Shoe company wants to test a new
design for shoes. Recruit 12 sprinters to have
each run 100 meter dash in old running shoes
and then again in
Poisson Distribution
Lecture #14
October 2, 2015
Poisson Distribution: a discrete probability
distribution that calculates the probability of a
given number of events occurring in a given
time frame
a
Statistical Power
Lecture #21
October 23, 2015
Scenario: Reputable source claims the average
number of days of school missed each year is 9
with = 3. Principal thinks this mean is too low.
Hypotheses:
Additional Concepts in
Hypothesis Testing
Lecture #20
October 21, 2015
Scenario: Spending habits of college students
per semester on non-essential items. Assume
= 50 and use = .05.
Question: Use the
Chi-Squared Goodness of Fit
Test
Lecture #31
November 20, 2015
Scenario: Between CBS, ABC, and NBC, we think
CBS gets 40% of the market, ABC gets 25%, and
NBC gets 35%. Randomly sample 1000 people
and
Normal Distribution
(Continued)
Lecture #13
September 30, 2015
Probabilities for the standard normal
distribution can be found using the table.
Standard normal random variables are denoted
by and are
Inference for a Population
Variance
Lecture #23
October 28, 2015
Scenario: Oven temperatures should have a
standard deviation no larger than 2. You suspect
your oven is not heating properly. Preheat y
Prediction Intervals and
Confidence Intervals
Lecture #35
December 4, 2015
Standard Error of the Model: the standard
deviation of the error term, denoted
Sample standard error given by =
2
Large valu
Inference for the Difference
Between Two Proportions
Lecture #27
November 6, 2015
Scenario: 1000 Canadians and 1500 Americans
asked about violence on TV. 630 Canadians and
870 Americans think there is
Uniform Distribution and
Normal Distribution
Lecture #12
September 28, 2015
Continuous Random Variable: a random
variable that can take on any value (including
decimals) in some interval
Probability D
Inference for the Ratio of
Two Variances
Lecture #25
November 2, 2015
Scenario: Compare variances of typing speeds of
users of QWERTY and Dvorak keyboards. For 20
QWERTY users, = 62 wpm and = 10. For
Inference for a Population
Mean
Lecture #22
October 26, 2015
Scenario: Counselors concerned high school
students work too many hours at part time jobs.
Random sample of 18 students found = 23.2
hours.
1. what is the effect of policing intervention to the amount of violent crime relative to not
2.
3.
4.
5.
6.
7.
receiving the policing intervention on the blocks in large cities across the US. ()
thei
Stats Notes: 9/15/16
Five number summary
Min Q1 Q2 Q3 Max
Box and Whisker Plot
- Ordinal or Quantitative
- Not affected by outliers
- Multiple group boxplots
- IQR is used to identify outliers
o Used
Christopher Lindeman STAT1100
OXFORD ENCYCLOPEDIC ENGLISH DICTIONARY Third Edition
Hillman Library Call Number: HILL PE1625 O86 1996b
ISBN 0-19-860057-7
Stratified Sampling Plan
1.
2.
3.
4.
5.
6.
7.
O