7.2 Confidence Interval about a Proportion
7.2 Confidence Interval about a Proportion
What we know
Number of successes
Number of observations
Sample Proportion
Confidence Level
Note: If the problem gives sample proportion
then find using:
Example
Find
Student Study Guide
Statistics Test # 3
Spring 2011
1. The test is open-books and open-notes. You can bring and use any printed or
written material.
2. You can bring and use a calculator, or a computer, or an iPad, or a cell phone with
calculating abiliti
1.
2.
3.
4.
5.
6.
Student Study Guide
Statistics Final Exam
Spring 2011
The test is open-books and open-notes. You can bring and use any printed or
written material.
You can bring and use a calculator, or a computer, or an iPad, or a cell phone with
calcu
Lecture 1:
Chapter 1
C C Moxley
UAB Mathematics
27 August 15
1.2 Basic Concepts
1.2 Basic Concepts
Denition (Population)
A population is the entire collection of all measurements/data
that are under consideration.
1.2 Basic Concepts
Denition (Population)
Lecture 5:
Chapter 5
C C Moxley
UAB Mathematics
24 September 15
5.1 Dierences Between Statistics and Probability
In Chapters 2 and 3, we collected sample data and summarized
the data to approximate certain probabilities/chances that certain
outcomes would
Lecture 2:
Chapter 2
C C Moxley
UAB Mathematics
3 September 15
2.2 Frequency Distributions
Denition (Frequency Distribution)
Frequency distributions show how data are distributed among
categories (classes) by listing the frequencies (i.e. the number of
in
Lecture 6:
Chapter 6
C C Moxley
UAB Mathematics
1 October 15
6.1 Continuous Probability Distributions
Last week, we discussed the binomial probability distribution, which
was discrete.
6.1 Continuous Probability Distributions
Last week, we discussed the b
Lecture 4:
Chapter 4
C C Moxley
UAB Mathematics
17 September 15
4.2 Basic Concepts of Probability
Procedure
Event
Simple Event
Sample Space
4.2 Basic Concepts of Probability
Procedure
rolling a die
Event
6 or 2
Simple Event
6
Sample Space
cfw_1, 2, 3, 4,
Lecture 3:
Chapter 3
C C Moxley
UAB Mathematics
10 September 15
3.2 Measurements of Center
Statistics involves describing data sets and inferring things about
them. The rst step in understanding a set of data is often to nd
its center.
3.2 Measurements of
Lecture 11:
Chapter 11
C C Moxley
UAB Mathematics
5 November 15
11.1 Analyzing Categorical Data
So far, we have used statistical methods to analyze population parameters - but we knew what types of random variables we were
dealing with.
11.1 Analyzing Cat
Lecture 9:
Chapter 9
C C Moxley
UAB Mathematics
22 October 15
9.1 Testing Claims About Two Populations
In this chapter we will extend our inferential statistical methods
to testing claims about two populations parameters. We will test
claims like the foll
Lecture 10:
Chapter 10
C C Moxley
UAB Mathematics
29 October 15
10.1 Pairing Data
In Chapter 9, we talked about pairing data in a natural way. In
this Chapter, we will essentially be discussing whether these natural parings are useful or not.
10.1 Pairing
Lecture 12:
Chapter 12
C C Moxley
UAB Mathematics
12 November 15
12.1 ANOVA (Analysis of Variance) Tests
In Chapter 9, we tested to see if two population means were equal.
12.1 ANOVA (Analysis of Variance) Tests
In Chapter 9, we tested to see if two popul
Lecture 7:
Chapter 7
C C Moxley
UAB Mathematics
8 October15
7.1 Inferential Statistics
We have previously used descriptive statistics to summarize data in
a sample. We will now extend these statistics using inferential methods to make generalizations abou
Student Study Guide
Statistics Test # 2
Spring 2011
1. The test is open-books and open-notes. You can bring and use any printed or
written material.
2. You can bring and use a calculator, or a computer, or an iPad, or a cell phone with
calculating abiliti
Student Study Guide
Statistics Test # 1
Spring 2011
1. The test is open-books and open-notes. You can bring and use any printed or
written material.
2. You can bring and use a calculator, or a computer, or an iPad, or a cell phone with
calculating abiliti
Keys to Version A of Final Exam in MA 180/418, Fall 2010
Q1: d
Q2: c
Q3: c
Q4: d
Q5: d
Q6: b
Q7: b
Q8: c
Q9: a
Q10: b
Q11: (a) = 3.24 and = 1.68.
(b) 3.24 2 1.68 = 0.12 and 3.24 + 2 1.68 = 6.60.
(c) unusual values: 7, 8, 9.
Q12: (a) 0.04.
(b) 0.08.
(c) 0.
7.3 Confidence Interval about a Mean ( known)
7.3 Confidence Interval about a mean ( known)
What we know
Sample mean
Population standard deviation
Sample size
Confidence Level
Example
Find the 90% confidence interval for a sample of size 42 and
mean 38.4,
7.4 Confidence Interval about a Mean ( unknown)
7.4 Confidence Interval about a mean ( unknown)
What we know
Sample mean
Sample standard deviation
Sample size
Confidence Level
Example
Find the 90% confidence interval for a sample of size 42, mean
38.4, an
7.5 Confidence Interval about a Variance
7.5 Confidence Interval about a Variance
What we know
Sample variance
Note: Must use variance
(i.e. standardard deviation squared)
Sample size
Confidence Level
Example
Find the 95% confidence interval about the sta
8.3 Testing a claim about a Proportion
8.3 Testing a claim about a Proportion
What we know
Number of successes
Number of observations
Sample Proportion
Claimed Proportion
Note: If the problem gives sample proportion
then find using:
Significance Level
8.4 Testing a claim about a Mean ( known)
8.4 Testing a claim about a Mean ( known)
What we know
Sample mean
Sample size
Population standard deviation
Assumed mean
Significance level
Example
Use a 0.1 significance level to test the claim that a population
Notation
Section 8.3
Testing a claim about a Proportion
Objective
For a population with proportion p, use a
sample (with a sample proportion) to test
a claim about the proportion.
Testing a proportion uses the standard
normal distribution (z-distribution)
Notation
Section 8.4
Testing a claim about a mean
( known)
Objective
For a population with mean (with known),
use a sample (with a sample mean) to test a
claim about the mean.
Testing a mean (when known) uses the
standard normal distribution (z-distributi
Notation
Section 8.6
Testing a claim about a
standard deviation
Objective
For a population with standard deviation , use
a sample too test a claim about the standard
deviation.
Tests of a standard deviation use the
c2-distribution
1
2
Notation
Requirement
Chapter 8
Section 8.2
Basics of Hypothesis Testing
Hypothesis Testing
8.2 Basics of Hypothesis Testing
Objective
8.3 Testing about a Proportion p
For a population parameter (p, , ) we wish
to test whether a predicted value is close to
the actual value (ba