Multiple choice Questions (sample) Circle the boldface correct answer.
1) The sampling distribution of a statistic is:
A) The probability that we obtain the statistic in repeated random samples.
B) The mechanism that determines whether randomization was e
Chapter 22
Two Categorical Variables:
The ChiSquare Test
BPS  5th Ed.
Chapter 22
1
Relationships: Categorical Variables
x
Chapter 20: compare proportions of
successes for two groups
– “Group” is explanatory variable (2 levels)
– “Success or Failure” is
Condence Intervals
This is the rst chapter of the second part of this course. This second part is devoted
to Statistical Inference.
Statistical Inference is the part of statistics related to drawing conclusions about a
population from the observation of a
F2011 Practice Midterm 3 Practice Midterm Answer sheet
Answers
1) An SRS of 100 flights of a large airline, say Airline 1 showed that 64 were on time. An
SRS of 100 flights of another airline, say Airline 2 showed that 80 were on time. Let p1 and
p2 be th
Fall 2011 Practice Midterm 3
\hat P means P hat (sample proportion random variable before the sample is chosen), \hat p
means p hat (observed sample proportion), /x is x bar (observed sample mean)
Ill add a few questions on chapter 22 and the answers duri
M316 ELEMENTARY STATISTICS Fall 2011 Unique 55055
First Midterm Wednesday September 21st 2011
NAME .

Are authorized: calculators (2 variablestatistics with users manual), tables and
formulas
No other document (book, hand written notes, etc ) is authoriz
M316 ELEMENTARY STATISTICS
Second Midterm
Unique number 55055
October 19th 2010
NAME .
 Answer questions and problems in the order you prefer.
 Are authorized: 2 variables statistic calculators, Tables and Formulas.
 No other document (book, hand writt
Notes on Chapter 11.
In this chapter we consider a (very) large population P, on which we study a quantitative variable.
To have an example in mind, you may think of the population of all female College
students in the USA (you may think of the male stude
Chapter 14 & 15
1 Confidence Intervals
BPS  5th Ed.
Chapter 14
1
Statistical Inference
x Provides
methods for drawing
conclusions about a population from
sample data
Confidence Intervals
y What
is the population mean?
Tests of Significance
y Is
BPS 
Chapters 14 & 15
2 Tests of Hypotheses
BPS  5th Ed.
Chapter 15
1
Reasoning of Tests of Significance
x What
would happen if we repeated
the sample or experiment many
times?
x How likely would it be to see the
results we saw if the claim of the test
were
Multiple choice Questions (sample) Answers.
1) The sampling distribution of a statistic is:
A) The probability that we obtain the statistic in repeated random samples.
B) The mechanism that determines whether randomization was effective.
C) The distributi
Practice Midterm 3. A few questions on chapter 22.
8.)A study was performed to examine the personal goals of children in grades 4, 5, and 6. A
random sample of students was selected for each of the grades 4, 5, and 6 from schools in
Georgia. The students
Outliers and Influential Points
Erik Johnson
AP Statistics
5/25/04
erik.PPT
Definitions
Outlier: A value in a set of data that does not fit with the
rest of the data
Influential point: A point in a data set that has leverage on
the regression coefficien
Chapter 20
Comparing Two Proportions
BPS  5th Ed.
Chapter 20
1
TwoSample Problems
The goal of inference is to compare the
responses to two treatments or to
compare the characteristics of two
populations.
x We have a separate sample from each
treatment o
Chapter 19
Inference about a Population Proportion
BPS  5th Ed.
Chapter 19
1
Proportions
The proportion of a population that has
some outcome (success) is p.
x The proportion of successes in a sample
is measured by the sample proportion:
x
p=
number of s
Chapter 18
TwoSample Problems
BPS  5th Ed.
Chapter 18
1
TwoSample Problems
The goal of inference is to compare the
responses to two treatments or to
compare the characteristics of two
populations.
x We have a separate sample from each
treatment or each
Chapter 2
Describing Distributions
with Numbers
BPS  5th Ed.
Chapter 2
1
Numerical Summaries
x
Center of the data
mean
median
x
Variation
range
quartiles (interquartile range)
variance
standard deviation
BPS  5th Ed.
Chapter 2
2
Mean or Average
Tr
Chapter 3
The Normal Distributions
BPS  5th Ed.
Chapter 3
1
Density Curves
Example: here is a
histogram of vocabulary
scores of 947 seventh
graders.
The smooth curve
drawn over the
histogram is a
mathematical model for
the distribution.
BPS  5th Ed.
Cha
Chapter 4
Scatterplots and Correlation
BPS  5th Ed.
Chapter 4
1
Explanatory and Response
Variables
x
Interested in studying the relationship
between two variables by measuring
both variables on the same individuals.
a response variable measures an outco
Chapter 5
Regression
BPS  5th Ed.
Chapter 5
1
Linear Regression
x Objective:
To quantify the linear
relationship between an explanatory
variable (x) and response variable (y).
x We
can then predict the average
response for all subjects with a given
value
Chapter 5
Regression
BPS  5th Ed.
Chapter 5
1
Linear Regression
x Objective:
To quantify the linear
relationship between an explanatory
variable (x) and response variable (y).
x We
can then predict the average
response for all subjects with a given
value
Chapter 6
TwoWay Tables
BPS  5th Ed.
Chapter 6
1
Categorical Variables
x In
this chapter we will study the
relationship between two categorical
variables (variables whose values fall in
groups or categories).
x To
analyze categorical data, use the
count
Chapter 8
Producing Data: Sampling
BPS  5th Ed.
Chapter 8
1
Population and Sample
x
x
x
Researchers often want to answer questions
about some large group of individuals (this group
is called the population)
Often the researchers cannot measure (or
survey
Chapter 9
Producing Data: Experiments
BPS  5th Ed.
Chapter 9
1
How Data are Obtained
x
Observational Study
Observes individuals and measures variables of
interest but does not attempt to influence the
responses
Describes some group or situation
Sample
Chapter 10
Introducing Probability
BPS  5th Ed.
Chapter 10
1
Idea of Probability
Probability is the science of chance
behavior
x Chance behavior is unpredictable in the
short run but has a regular and
predictable pattern in the long run
x
this is why we
Chapter 11
Sampling Distributions
BPS  5th Ed.
Chapter 11
1
Sampling Terminology
x
Parameter
fixed, unknown number that describes the population
x
Statistic
known value calculated from a sample
a statistic is often used to estimate a parameter
x
Varia
Chapter 12
General Rules of Probability
BPS  5th Ed.
Chapter 12
1
Probability Rules from Chapter 10
BPS  5th Ed.
Chapter 12
2
Venn Diagrams
Two disjoint events:
BPS  5th Ed.
Chapter 12
Two events that are not disjoint,
and the event cfw_A and B consist