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Statistics 103, Spring 2012
Midterm 2
This is a closed book exam.
You may use your calculator and a single page of notes.
The room is crowded. Please be careful to loo
K300
Review CHAPTERS 6 & 7
Last Revised Spring 2009
This review is only a sampling of possible exam questions. All notes, homework, quizzes, etc. should also be reviewed.
Using the following uniform density curve, answer the question.
1) What is the proba
Statistics 103 Probability and Statistical Inference
Instructions for lab 6
Lab Objective
2-by-2 contingency table and hypothesis test for proportions.
Lab Procedures
Below is the data from our class survey regarding gender and whether the student routine
Lecture 12
Two Random Variables
October 26, 2010
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Lesson Plan
1. Bi-variate random variables
2. Function of Bi-variate random variables
3. Covariance
4. Linear combination of two random variables
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Two Random Variables
We have seen probability
Lecture 14 Simple Linear Regression
Ordinary Least Squares (OLS)
Consider the following simple linear regression model
Yi = + Xi + i
where, for each unit i,
Yi is the dependent variable (response).
Xi is the independent variable (predictor).
i is the e
Practice Problems for Post-Midterm 3
Odd Problems from Wonnacott
10-1, 10-3, 10-5, 10-7
17-1, 17-7,17-9
Additional Practice Problems
1. True or False
(a) The ANOVA F test statistic can be used to test the null hypothesis that three sample
means are equal.
Practice Problems for Midterm 1
1. True or False (No Partial Credit)
(a) If event A and B are not independent, then P(A or B) can be negative. F
(b) The standard deviation of a distribution is always positive. T
(c) For a symmetric distribution, the mean
Statistics 103 Probability and Statistical Inference
Instructions for lab 7
Lab Objective
The purpose of the lab is to examine how common statistical methods are used in
investments, as well as to review the method we have learned so far.
Lab Procedures
I
Updated Aug 30
STA 103 Probability and Statistical Inference (Fall 2010)
Instructor
Howard Chang
E-mail
[email protected]
Office
213 Old Chemistry Building
Hours
Tue noon ~1pm
Thu 2:30~4pm
Lectures
Tue/Thu 1:15~2:30 pm @ Physics 128
Labs
Fri @ Old Che
Practice Problems for Post-Midterm 3
Odd Problems from Wonnacott
10-1, 10-3, 10-5, 10-7
17-1, 17-7,17-9
Additional Practice Problems
1. True or False
(a) The ANOVA F test statistic can be used to test the null hypothesis that three sample
means are equal.
Formula Sheet for Midterm 2
If the population variance 2 is unknown:
s
x
t(1C%)/2, n1 .
n
Expectation and Variance
Let X and Y denote two independent random variables and let a and b denote two known constants.
Confidence Interval for the Difference
in
Lecture 1
Motivations and Study Designs
August 31, 2010
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Lesson Plan
1. Syllabus
2. Population versus Sample: what is statistical science?
3. Study Designs: where do data come from and how do we
get them?
2 / 32
Lectures and Labs
1. Lectures
I
I
Lec
Statistics 103 Probability and Statistical Inference
Instructions for lab 3
Lab Objective
To explore data with histograms, boxplots, and summary statistics.
Lab Procedures
Open the file agpop from the course directory. This file is taken from the 1992 U.S
Lecture 10 Confidence Intervals
Confidence Interval for One Population Mean
Given an independent and identically distributed (iid) sample of size n, the C % confidence interval
for is given by
x
q SEx ,
where x
is the sample mean, SEx is the standard er
STA 103 (Fall 2010) Final Exam
Final Exam Instructions
Closed-book 2.5 hours exam. Calculators are allowed.
Complete Z and t tables, and sections of the F and 2 table will be provided.
Make sure you bring your own print out of the final exam formula sh
Lecture 16 Testing Multiple Proportions and Means
Chi-Square Test
Goodness of Fit
Consider a multinomial random variable X with K levels. Let Oi denote the observed
count for level i = 1, . . . , K. We are interested in simultaneously testing H0 : P (X =
Homework Problem Set for Week 3
Due Sept 21, 2010
Problems to be Graded: 4-14, 4-22, A
Problems from Wonnacott
4-4. Also find the mean and standard deviation of the total number of sales in a year.
4-14, 4-20, 4-22, 4-40
Additional Problems
A. Consider th
Lecture 9
Confidence Interval
September 30, 2010
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Lesson Plan
1. Statistical Confidence
2. Confidence Intervals for Population Mean
3. Students t-distribution
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Review
The Central Limit Theorem (CLT):
Let X be a random variable with mean and va
Lecture 15
Linear Regression Extensions
November 9, 2010
Motivating Example
Real estate data from the Chicago MSA
3044 sales between 1989-1990 of detached
single-family homes
Outcome/Response
SPRICE = Sales price of the house ($)
Predictors
LVAREA =
Statistics 103 Probability and Statistical Inference
Instructions for lab 8
Lab Objective
Practice with simple linear regression and correlation
Lab Procedures
Long-term interest rates drive much of the economic activity in the U.S. When interest rates ar
Statistics 103 Probability and Statistical Inference
Instructions for lab 1
Lab Objective
To become familiar with the software package JMP.
Lab Procedures
JMP gives us an enormous advantage over people who learned about and performed statistical
analyses
Problem Set Solutions for Week 1
Problems from Wonnacott
1-4
(a) have the new treatment deliberately withheld; chance
(b) initially start; keep; should not; blind; biased; a difficult judgment
1-14 [example solutions]
(a) Only those involving cars with se
Lecture 11
Hypothesis Testing
October 7, 2010
1 / 35
Lesson Plan
1. More on confidence interval
2. Statistical significance
3. Test-statistic and p-value
4. Type I and type II error
2 / 35
Review
Given an iid sample of size n, the C% confidence interval f
Homework Problem Set for Week 5 and Week 6
Due Tuesday October 19, 2010
Problems to be Graded: 8-4, 8-14, 8-18, 9-4, 9-6, 9-24, 9-26, Additional Problem A
Problems from Wonnacott
8-1, 8-4, 8-6
8-11. For part (a) calculate the 95% confidence intervals firs