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S 1 Quiz 4: Monday, September 30, 2013
1] On a day in December the probability that it will snow in Moscow is 0.7 and the
probability that it will snow in Boston is 0.4. Assume independence be
SAMPLE MIDTERM EXAM
STAT 1051-10 FALL 2011
Answer all the questions. Please show full work for partial credit. Students are expected to abide by the GW honor code of academic integrity. 1) An engineer is interested in travel patterns in Washington D.C. Th
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Fall 2013
5 I Monday, October 21, 2013
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Fall 2013
5 I Quiz 1: Monday, September 9, 2013
1. A city police officer using radar, checked the speed of 26 cars as they traveled
down a city street and the data are as given below:
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STAT 1051-10 FALL 2012 Answer all questions. Please show full work for partial credit. The students must honor the GW code of academic integrity during the exam. 1) A sample of eight workers in a clothing manufacturing company gave
SAMPLE MIDTERM EXAM
STAT 1051-DE
SUMMER 2016
Answer all the questions. Please show full work for partial credit. Students are
expected to abide by the GW honor code of academic integrity.
1) An engineer is interested in travel patterns in Washington D.C.
1.2 Descriptive statistics utilizes numerical and graphical methods to look for patterns. to summarize. and to
present the information in a set of data. Inferential statistics utilizes sample data to make estimates.
decisions. predictions. or other genera
Continuous Random
variables and the normal
Distribution
The Normal Distribution
Review
The Random Variable
Discrete
Continuous
Probability Distributions
Deriving a discrete probability distribution
Expected Value
Variance
The Binomial Distribution
M
Statistics Data and Statistical
Thinking
1
Main Topics That We Will Cover
Statistics Overview Why we study?
Descriptive Statistics
Probability
Statistical Inference
Confidence Intervals
Hypothesis Testing
Regression & Correlation
2
Why Study Statistics?
U
Hypothesis Testing
Chapter 6
An Introduction to Hypothesis
Testing
Goals
1.Distinguish Types of Hypotheses
2.Describe Hypothesis Testing Process
3.Explain p-Value Concept
4.Solve Hypothesis Testing Problems Based
on a Single Sample
What is a Hypothesis Te
Inference for Two Samples
Sections 7.2 & 8.2 in your textbook.
Introduction: Background
Nutritionists have often debated the most effective diet strategies to
losing weight.
Low carbohydrates.
Vigorous exercise programs.
Less calories
Others.
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Stat 1051-11
Fall 2013
S / Quiz 7: Monday, November 4, 2013
You must show all work to receive full credit.
1. Household incomes in Greenwich, CT have a mean of $180,000 and standard deviation of
$40,000. A random sample of 100
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1) 100 students took the midterm exam in an introductory business course, and the
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Fall 2013
5\ Quiz 9: Monday, November 18, 2013
You must show all work to receive full credit.
1) A random sample of adults in a city will be interviewed to decide if a nuclear plant
should be reopened. It is
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Quiz 8: Monday, November 11, 2013
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1) To decide if a nuclear plant has to be reopened, a random sample of 500 adults in that
city were interviewed
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Fall 2013
SI Quiz 6: Monday, October 14, 2013 ', \
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You must show all work to receive full credit. '1 ___
1) Let Z be a standard normal random variable with mean u = 0 and standard
deviation 0 = 1.
Chapter 4
The Concept of Random
Variables and
Probability Distributions
The Random Variable
A random variable is a variable that
assumes numerical values associated with
the random outcomes of an experiment
where one and only one numerical value is
assig
Chapter 7
Testing Statistical Hypothesis
Contents
Introduction and Discussion
Elements of a Test of Hypothesis
Test of Hypothesis about Population Mean
Large
Sample Case
Using Rejection Region
Observed Significance Level
Small
Sample Case
Test of H
Hypothesis Testing
Population Proportion: Large Sample
Population Proportion (p)
Very often our parameter of interest is
population proportion p ( like in example 1.0 ).
p can be viewed as probability of success in a
Binomial experiment as well.
2
Example
Probability
Compound Events and Additive Law
Contents
Unions and Intersections
Venn Diagram
Mutually Exclusive Events
Additive Rule
2
Compound Events
Compound Event a composition of 2 or
more events
Can be the result of a union or intersection of
events
Confidence Intervals
Population Mean: Small Sample
Confidence Interval for :
Small Samples
In many cases, sample sizes may be small
(n <30) and the population standard deviation
may be unknown (usually that is the case).
Some Reasons:
Collecting large sa
Chapter 8
Inference About Two Populations
Contents
Test hypotheses and confidence intervals about
The difference in two population means for
large samples.
The difference in two population means using
the t statistic.
About the difference in two related
p