Parameter fixed, unknown number that describes the population
Statistic known value calculated from a sample/a statistic is often used to estimate a parameter
Variability different samples from the same population may yield different values of the sample
MONTGOMERY COLLEGE
Business, Science, Math and Applied Technologies Division
Germantown Campus
MA 116 Elements of Statistics
Course Syllabus
I. INSTRUCTOR INFORMATION
Name:
Dr. Munther Alraban
Telephone Number:
240-567-1972
E-Mail Address:
Munther.alraban
Montgomery College
Business, Science, Mathematics and Technology Division
MA116 Final Exam Review Sheet
Summer II 2011
Prof. Munther Alraban
Name: _
Use the following to answer questions 1-3.
In a certain town 60% of the households own mutual funds, 40% o
Chapter 20
Comparing Two Proportions
BPS - 5th Ed.
Chapter 20
1
Two-Sample 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
number of succ
Chapter 18
Two-Sample Problems
BPS - 5th Ed.
Chapter 18
1
Two-Sample 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 17
Inference about a Population Mean
BPS - 5th Ed.
Chapter 17
1
Conditions for Inference
about a Mean
x
x
x
Data are from a SRS of size n.
Population has a Normal distribution
with mean and standard deviation .
Both and are usually unknown.
we us
Chapter 16
From Exploration to Inference:
Part II Review
BPS - 5th Ed.
Chapter 16
1
From Exploration to Inference
BPS - 5th Ed.
Chapter 16
2
From Exploration to Inference
BPS - 5th Ed.
Chapter 16
3
From Exploration to Inference
BPS - 5th Ed.
Chapter 16
4
Chapter 15
Thinking about Inference
BPS - 5th Ed.
Chapter 15
1
z Procedures
x
If we know the standard deviation of the population,
a confidence interval for the mean is:
xz
x
n
To test a hypothesis H0: = 0 we use the one-sample
x 0
z statistic:
z=
n
x
The
Chapter 14
Introduction to Inference
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 - 5th
Chapter 13
Binomial Distributions
BPS - 5th Ed.
Chapter 13
1
Binomial Setting
x Fixed
number n of observations
x The n observations are independent
x Each observation falls into one of just
two categories
may be labeled success and failure
x The
probabil
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.
Two events that are not disjoint, and
the event cfw_A and B consisting of
the
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 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 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 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 6
Two-Way 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 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 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 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 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 1
Picturing Distributions with
Graphs
BPS - 5th Ed.
Chapter 1
1
Statistics
Statistics is a science that involves the extraction of
information from numerical data obtained during an
experiment or from a sample. It involves the design
of the experi
Answers for the review sheet:
1- C
2- A
3- B
4- B
5- C
6- D
7- D
8- C
9- A
10- B
11- B
12- B
13- C
14- C
15- D
16- A
17- B
18- B
19- B
20- A
21- D
22- B
23- B
24- A
25- B
26- C
27- C
28- A
29- D
30- A
31- C
32- B
33- C
34- D
35- C
36- B
37- D
38- B
39- C