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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
17.0 Experimental Design
1
Answer Questions
Philosophy
One-Way ANOVA
Egg Sample
17.1 Philosophy
Experiments are often expensive and/or dangerous. One wants to use good
techniques that minimize costs and risks, while still learning eciently about
the t
LAST NAME (Please Print):
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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 look on
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Statistics 103
Quiz 3
1. You observe the following numbers: 3, -2, 0, 1, -7, -4, 2, 5. Find (a) the interquartile range and (b)
the sd.
(a) 5.5
(b) 3.92
To nd the IQR, rst list the numbers from least to largest: -7, -4, -2, 0, 1, 2,
6.0 Lesson Plan
Answer Questions
1
Example for Joint Distributions
Another Example
Covariance and Correlation
You compare the share price of two stocks, say Apple, Inc. and Orange
Julius Co. Apple share values (X ) cannot exceed $6.00, and Orange
Juli
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Statistics 111
Homework 1
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
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Statistics 111
Homework 2
You are allowed to discuss problems with other students, but the nal answers must be
your own work.
For all problems that require calculation, Y
3.0 Lesson Plan
Answer Questions
1
Areas Under Normal Curves
Probability Denitions
Drawing from a Box
Probability Rules
3.1 Areas Under Normal Curves
In the last lecture, we learned how to nd areas under a standard normal
distribution (mean = 0, stan
4.0 Lesson Plan
Answer Questions
Bayes Rule
1
Permutations and Combinations
The Binomial Distribution
The Poisson Distribution
The Hypergeometric Distribution
4.1 Bayes Rule
The simple version of Bayes Rule is just an application of the denition
of
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Statistics 111
Quiz 6
1. The proportion of a day that a student is awake has the density f (x) = cx(1 x)2 (so it takes a
random value between 0 and 1).
What is the value of c?
We nd c so that the integral of the density is 1. Sinc
7.0 Lesson Plan
1
Answer Questions
Box Models
The Central Limit Theorem
Simple Random Samples
7.1 Box Models
A Box Model describes a process in terms of making repeated draws,
with replacement, from a box containing numbers. For continuous
distributio
13.0 Hypothesis Testing
1
Answer Questions
Hypothesis Tests
Examples
13.1 Hypothesis Tests
A hypothesis test (signicance test) is a way to decide whether the data
strongly support one point of view or another.
There are many kinds of signicance tests,
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Statistics 111
Quiz 5
0.66 1. A group project entails a presentation by three studentsall must attend to pass. Anselm has probability 0.3 of oversleeping, Bristol has probability 0.2 of oversleeping, and CheNelle has probability 0.4
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Statistics 111
Quiz 4
1. An unfair die has probability .2 of coming up six, and all other faces have equal value.
.36 What is the probability of a six or a three?
.2 + (1-.2)/5
.33 What is the probability of not getting a six in ve
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Statistics 111
Quiz 2
1. The previous lecture discussed an analysis of 50 medical studies of the portacaval shunt. The studies
were cross-tabulated by the quality of the research design and the enthusiasm that the researcher
express
Practice Problems for Midterm 1
1. True or False
(a) If events A and B are mutually exclusive, then P(A or B) can be greater than 1.
(b) The standard deviation of a distribution is always positive.
(c) For a symmetric distribution, the mean and the median
18.0 Two-Way ANOVA
1
Answer Questions
Multiple Comparisons
Two-Way ANOVA
Popcorn Example
18.1 Multiple Comparisons
If one has completed a one-way ANOVA or an RCBD and has rejected the
null hypothesis of no treatment dierences, the immediate question i
16.0 Multiple and Nonlinear Regression
Answer Questions
1
Multiple Regression
Nonlinear Regression
Regression
16.1 Multiple Regression
Recall the regression assumptions:
1. Each point (Xi , Yi ) in the scatterplot satises:
Yi = 0 + 1 Xi + i
2
where th
15.0 Linear Regression
1
Answer Questions
Lines
Correlation
Regression
15.1 Lines
The algebraic equation for a line is
Y = 0 + 1 X
2
The use of coordinate axes to show functional relationships was invented
by Ren Descartes (1596-1650). He was an artil
14. Contingency Tables & Goodness-of-Fit
1
Answer Questions
Tests of Independence
Goodness-of-Fit Tests
14.1 Tests of Independence
Often one has a sample of cases; each case can be categorized according to two
dierent criteria:
each person got the dru
5.0 Lesson Plan
Answer Questions
1
Expectation and Variance
Densities and Cumulative Distribution Functions
The Exponential Distribution
The Normal Approximation to the Binomial
5.1 Expectation and Variance
The expected value of a random variable is
Lesson Plan
Class Policies
1
Designed Experiments
Observational Studies
Weighted Averages
0. Class Policies and General Information
Our class website is at www.stat.duke.edu/banks. My oce hours are
from 12:00-2:00 on Wednesday, in Old Chem 025.
2
Your
STA 103 Exam 2a
Fall 2007 I. H. Dinwoodie
NAME Calculator allowed, closed book.
STA103 Fall 2007 E2a Circle True or False. (1 point each)
1
1. The population of American men in 1975 had incomes that averaged , with variance 2 . A random sample
STA 103 Exam 1
Fall 2007 I. H. Dinwoodie
NAME: answers Calculator allowed, closed book.
STA103 Fall 2007 E1 Circle True or False. (1 point each)
1
1. A researcher went to Smalltown and sampled 1000 people for her study on how smoking aects the c
STA 103 Final Exam
Fall 2007 I. H. Dinwoodie
NAME Calculator and formula sheet allowed.
STA103 Fall 2007 Final
1
1. (6 points) During the 1950s, radioactive waste leaked from a storage area near Hanford, Washington, into the Columbia river. Expo
STA 103 Exam 1
Spring 2008 I. H. Dinwoodie
NAME Calculator allowed, closed book.
STA103 Spring 2008 E1 Circle True or False. (1 point each)
1
1. A researcher looked at admission data at University of Michigan in 1970 to investigate the relations
STA 103 Exam 2
Spring 2008 I. H. Dinwoodie
NAME Calculator allowed, closed book.
STA103 Spring 2008 E2 Circle True or False. (1 point each)
1
1. The population of American women in 1975 had incomes that averaged = 10, with standard deviation =
STA 103 Final Exam
Spring 2008 I. H. Dinwoodie
NAME Calculator and formula sheet allowed.
STA103 Spring 2008 Final 1. (6 points) Two stocks had daily returns below in a 5 day week: day s1 s2 1 0.07 0.04 2 0.17 0.14 3 -0.12 -0.08 4 -0.02 -0.08 5 0.
STA 103 Fall 2007 Final Project
Submitted by: I. H. Dinwoodie December 6, 2007
I have adhered to the Duke Community Standard in completing this assignment.
1
STA103 Project 3 points each, 18 points total 1. Independence in a 4 4 Table (a) The tte