Binomial Random
Variables
Binomial Probability Distributions
Binomial Random
Variables
Through
2/24/2011 NC States freethrow percentage is 69.6% (146th out
345 in Div. 1).
If in the 2/26/2011 game with GaTech,
NCSU shoots 11 free-throws, what is the
proba
Chapters 8, 9, 10
Least Squares Regression
Line
Fitting a Line to Bivariate
Data
Suppose there is a relationship between two
numerical variables.
Data: (x1, y1), (x2, y2), , (xn, yn)
Let x be the amount spent on advertising and y
be the amount of sales fo
Chapter 4
Displaying and Summarizing
Quantitative Data
CHAPTER OBJECTIVES
At the conclusion of this chapter you should be able to:
1) Construct graphs that appropriately describe
quantitative data
2) Calculate and interpret numerical summaries of
quanti
ST 305
PRACTICE PROBLEMS FOR EXAM 1
Reiland
Topics covered on Exam 1: Chapters 1-10 in text.
This material is covered in webassign homework assignments 1 through 4 and worksheets 1-15.
Exam information: materials allowed: calculator (no laptops), one 3 x
Chapter 18
Sampling Distribution Models
and the Central Limit Theorem
Transition from Data Analysis and
Probability to Statistics
Probability:
From population to
sample (deduction)
Statistics:
From sample to the
population (induction)
Sampling Distributi
Simple Linear
Regression
1. review of least
squares procedure
2. inference for least
squares lines
1
Introduction
We will examine the relationship between
quantitative variables x and y via a
mathematical equation.
The motivation for using the technique
Analysis of Count Data
Chapter 26
Goodness of fit
Formulas and models for two-way
tables
- tests for independence
- tests of homogeneity
Example 1:
Car accidents and day of
the week
A study of 667 drivers who were using a cell phone when they were involve
Chapter 23
Confidence Intervals and
Hypothesis Tests for a
Population Mean ; t
distributions
t distributions
Confidence
intervals for a
population mean
Sample size
required to
estimate
Hypothesis tests
for a population
mean
Review of statistical not
Chapter 12
Sample Surveys
Producing Valid Data
If you dont believe in random sampling,
the next time you have a blood test tell the
doctor to take it all.
The election of 1948
The Predictions
The Candidates Crossley Gallup Roper The Results
Truman
45
44 3
Chapters 20, 21
Testing Hypotheses
about Proportions
Part II: Significance Levels,
Type I and Type II Errors,
Power
1
Alpha Levels: a Threshold for
the P-value.
Sometimes we need to make a firm decision about
whether or not to reject the null hypothesis.
Chapter 14 Probability
Basics
Laws of Probability
Odds and
Probability
Probability Trees
Birthday Problem
What is the smallest number of
people you need in a group so
that the probability of 2 or more
people having the same birthday is
greater than 1/
Chapters 20, 21
Testing Hypotheses
about Proportions
1
Example
Cellphone companies have discovered that college
students, their biggest customers, have difficulty
setting up all the features of their smart phones, so
they have developed what they hope are
Chapter 6 (part 2) WHEN IS A
Z-SCORE BIG? NORMAL
MODELS
A Very Useful Model for Data
= 3 and = 1
0
3
6
8
9
12
X
Normal Models: A family of bell-shaped
curves that differ only in their means and
standard deviations.
= the mean
= the standard deviation
N
Chapter 6 Part 1
Using the Mean and Standard
Deviation Together
z-scores
68-95-99.7 rule
Changing units (shifting and
rescaling data)
1
Z-scores: Standardized Data
Values
Measures the distance of a
number from the mean in units of
the standard deviation
2
From the Data at Hand to the
World at Large
Chapter 19
Confidence Intervals for an
Unknown Population p
Estimation of a population parameter:
Estimating an unknown population
proportion p
Chapter 19 Objectives
1. Determine, manually and using
technology,
www.statcrunch.com
About This Study Card
StatCrunch is a Web-based statistical software package for analyzing data. This study card is a brief introduction to StatCrunch,
covering the procedures that most students will encounter in an introductory statis
Chapter 18
ST 305
Reiland
Sampling Distribution Models
Data without concepts are blind, concepts without data are empty.
Immanuel Kant, (1724-1804)
Data! Data! Data! He cried impatiently. I can't make bricks without clay!
Sherlock Holmes
The rest of the c
Exploring
Relationships
Between Variables
Chapter 7 Scatterplots and
Correlation
Chapter 7 Objectives
Scatterplots
Correlation
Scatterplots
Explanatory and
response variables
The correlation
coefficient r
Interpreting
scatterplots
r does not distinguish
x
Chapter 15 Probability Models
The Equally Likely Approach
(also called the Classical
Approach)
Assigning Probabilities
If an experiment has N outcomes,
then each outcome has probability
1/N of occurring
If an event A1 has n1 outcomes, then
P(A1) = n1/N
Chapter 27
ST 305
Reiland
INFERENCE FOR REGRESSION
The cause of lightning, Alice said very
decidely, for she felt quite sure about
this, is the thunderno, no! she
hastily corrected herself. I meant it the
other way.
Lewis Carroll, Alice in Wonderland
Toot
ST 305
Exam 2 Practice Problems
Reiland
Material covered on test:
Probability (chap 14, 15); Random Variables (chap 16); Probability Models (chap 17).
Sampling Distributions for s
: and B (chap 18).
webassign homework: 5, 6, 7, 8
lecture worksheets: 17 -
APPENDIX
ST 101
Reiland
CALCULATOR INSTRUCTIONS FOR
TI 81, 82, 83 AND 85 GRAPHICS CALCULATORS
The calculations necessary to summarize even a relatively small data set can be tedious
and time-consuming; however, the focus in this course is not on crunching
ST 305
Practice Problems Exam 3
Reiland
MATERIAL COVERED: Chapters 19 - 23.
Webassign homework: 9, 10, 11
WARNING! This sample exam may not cover all topics for which you are responsible on exam 3.
1.
You read in a journal a report of a study that found a
ST 305
Lecture Worksheet #30
KEY
Name
Reiland
Hypothesis Testing for : Significance Levels, Errors, Power
1. A researcher developing scanners to search for hidden weapons at airports has
concluded that a new scanner is not significantly better than the cu
Chapter 22
Comparing 2
Proportions
2006 W.H. Freeman and Company
Objectives (Chapter 22)
Comparing two proportions
Comparing two independent samples
Large-sample CI for two proportions
Test of statistical significance
1p2 p
Point Estimator of p1 p
:2
Two
WORKSHEET #31
KEY
Name
ST 305
Reiland
Confidence Intervals and Hypothesis Tests for :" :#
1. Attached is a poll from www.packpoll.com concerning opinions on gun control and concealed
carry. The sample size is 8 )*". How did packpoll determine the margin o
ST 305
WORKSHEET #32
KEY
Name
Reiland
Are Dome Teams at a Disadvantage on the Road?
Game Temperature
Hypothesis Tests for :" :#
1. Are NFL teams that play their home games in a dome at a disadvantage when they play road
games in open-air stadiums in cold
WORKSHEET #33
ST 305
Reiland
Name
Power for Hypothesis Tests for : and .
1. Consider the hypothesis test
L! : !$
L+ : !$ at significance level !& The sample size is 8 #!.
1a. What is the power when the true value of : !$&?
SOLUTION:
rejection region: i) D
ST 305
Lecture Worksheet 23
Reiland
Name
Review for Midterm Exam 2
1. Each box of Cracker Jack candied popcorn and peanuts contains 1 of 10 possible
prizes. How many boxes of Cracker Jack do you expect to have to buy until you get
all 10 prizes? Use the g