staple here
36-201 Fall 2012
Homework 4
NAME: _
Andrew ID: _
Circle your lab section:
Section A
(Th. 12:30)
Section B
(Th. 1:30)
Section C
(F. 9:30)
Section D
(F. 1:30)
Section E
(F. 2:30)
Print out this coversheet and staple it to the front of your home
Stat 201 Exam 1
Fall 2008
Page 1 of 13
Version 2 Answer Key
1. Suppose a sample of students is asked, How long did you sleep last night? The
results are graphically displayed as follows:
(a)
How many total people are represented in the data displayed? Cir
Stat 201 Exam 1
Fall 2008
Page 1 of 13
Version 3 Answer Key
1. Suppose a sample of students is asked, How long did you sleep last night? The
results are graphically displayed as follows:
(a)
How many total people are represented in the data displayed? Cir
Stat 201 Exam 2
Fall 2008
Page 1 of 9
Version 2 KEY
1. In the United States, 60% of overall adults vote. However, among just adults under
the age of 30, only 48% of them vote.
this is P(vote GIVEN young).
In other words, P(B | A) = .48
Suppose you randoml
Stat 201 Exam 2
Fall 2008
Page 1 of 9
Version 3 KEY
1. In the United States, 12% of the population is black; while in Britain, only 1.6% of the
population is black.
this is P(A)
this is P(B)
Suppose you randomly select two people: One from the U.S., and o
Stat 201 Exam 2
Fall 2008
Page 1 of 9
Version 1 KEY
1. In the U.S., 12% of the population is black.
Suppose, of all U.S. families that have a brother and a sister, you randomly select one
such family.
Let A represent the event the brother is black.
Let B
Stat 201 Exam 3
Fall 2008
Page 1 of 10
Version 1 KEY
1. In order to estimate the proportion, p, of current gun-owners among all Pennsylvania
residents, suppose a random sample of 100 residents was chosen, and 36 of them were
found to be gun-owners.
(a)
Co
Stat 201 Exam 3
Fall 2008
Page 1 of 10
Version 2 KEY
1. In order to estimate the proportion, p, of single (i.e., non-married) adults among all
adult residents in Pittsburgh, suppose a random sample of 400 adult residents was chosen,
and 80 of them were fo
Stat 201 Exam 3
Fall 2008
Page 1 of 10
Version 3 KEY
1. In order to estimate the proportion, p, of current vegetarians among all Pennsylvania
residents, suppose a random sample of 900 residents was chosen, and 90 of them were
found to be vegetarians.
(a)
Lecture 19 36-201
Mon, Oct. 19 Fall 2015
‘CLT Exercise’:
Calculating Probability and Drawing Inference
Using the Central Limit Theorem for mean
In the lecture 18, we developed the idea of the sampling distribution of a statistic:
Sampling Distribution of
Lecture 21 36-201
Mon, Oct. 26 Fall 2015
‘CLT—for—Proportion Exercise’:
Calculating Probability and Drawing Inference
Using the Central Limit Theorem for proportion
In lecture 20, we developed the ‘sampling distribution of proportion’.
Sampling Distributi
Lecture 22 36-201
Wed, Oct. 28 Fall 2015
Derivin the S read results for
One-Variable Sam lin Distributions
Elementary sampling distribution ﬂowchart for one variable: a it “I l It , it, ‘7
One variable 3 l , ‘ _ s V, a l
/\ L 4‘5“ ‘ ll ,l‘
l . .- q
Lecture 20 36-201
Wed, Oct. 21 Fall 2015
Sampling Model from one CATEGORICAL variable:
The Sampling Distribution of Proportion
In the previous two lectures, we investigated the idea of a sampling distribution of a
statistic:
Sampling Distribution of a Sta
Lecture 18 36-201
Fri, Oct. 16 Fall 2015
Introducing the Sampling Distribution of a Statistic:
The Probability Model of Sample MeanI
and the CENTRAL LIMIT THEOREM
Example: Salary.
Prior to the recent “great recession,’ salary in the US. had a distribution
Stat 201 Exam 1
Fall 2008
Page 1 of 13
Version 1 Answer Key
1. Suppose a sample of students is asked, How long did you sleep last night? The
results are graphically displayed as follows:
(a)
How many total people are represented in the data displayed? Cir
36-201 Spring 2013
Homework 5 KEY
Stat 201 Spring 2013
Homework 5 KEY
Page 1 of 6
Due:
Wednesday, February 20, at the beginning of lecture.
Homework considered late beyond the first 10 minutes of lecture.
Late Homework Policy:
Late homework may be turned-
Lecture 4
Fri, Sep. 6
36-201
Fall 2013
[Finishing] The Most-Important Measures of Spread
and
Introducing the Boxplot
Last time:
We discussed the two most important measures of center;
then we saw the first of the two most important measures of spread:
Sam
Lecture 2
Fri, Aug. 30
36-201
Fall 2013
(Finishing) Displays of One Categorical Variable;
And
Displaying and Describing the Distribution of
One Quantitative Variable
Graphical representations of the distribution of a Categorical variable
Frequency Table o
Lecture 3
Wed, Sep. 4
36-201
Fall 2013
Being Mathematically Precise about
Describing the Distribution of One Quantitative Variable:
Calculating Measures of Center,
And [beginning] measures of Spread
Last Time:
We introduced the key features of the distrib
Lecture 1
Wed Aug. 28
36-201
Fall 2013
The Big Picture: The Key Ideas of Applied Statistics
And
Identifying Data Types
Last time:
The Statistical Perspective:
I. We learn truths about the world through data.
II. But variation in data is omnipresent, unav
Lecture 5
Mon, Sep. 9
36-201
Fall 2013
Beginning Exploration of Relationships:
Exploratory Data Analysis (EDA) for 2-Variable Data
2-variable data is when there are two measurements on each individual
(identified by 2 columns of information in a spreadshe
Lecture 6
Wed, Sep. 11
36-201
Fall 2013
Correlation/Regression:
Exploring Relationship between 2 Quantitative Variables
[Q Q]
In the previous lecture, we defined statistical relationship:
Relationship (also called association):
A relationship (also called
Lecture 8
Mon, Sep. 16
36-201
Fall 2013
(Continuing) Key Difficulties with Studies
(and how to solve them)
This only applies to
two-variable
relationship
These apply regardless of the number of variables
(they apply for one-variable, as well as for two-va
Lecture 9
Wed, Sep. 18
(Exam 1 covers through this lecture)
36-201
Fall 2013
Finishing Study Design:
Outline and Discussion of Randomized Comparative Experiment
And
Defining Matched Pairs
Outline of a Randomized Comparative Experiment
Hypothetical Example
Lecture 10
Fri, Sep. 20
(this lecture begins exam 2 material)
36-201
Fall 2013
Introduction to Probability
We have seen that RANDOMIZATION is a feature of good study design:
Importance of Random sampling (for a study of one or any number of variables):
R
Lecture 7
Fri, Sep. 13
36-201
Fall 2013
Key Difficulties with Studies
(and how to solve them)
We have now completed elementary Exploratory Data Analysis, for the variables and
relationships that we study in this course:
Now, we will transition to question
Lecture 11
Mon, Sep. 23
36-201
Fall 2013
Visualizing Probability Rules with Joint Probability Table
and
Introducing Conditional Probability
Probability terminology developed in lecture 10:
Random
In sampling [Simple Random Sample, SRS]:
A sample is random
Lecture 12
Wed, Sep. 25
36-201
Spring 2013
Statistical Independence
Probability terminology developed in lecture 10 and 11:
Random
In sampling [Simple Random Sample, SRS]:
A sample is random if every individual has the same chance of being selected as eve
36-201 Fall 2008
Homework 9 KEY
This document available on: http:/www.stat.cmu.edu/~gordonw/fall2008stat201.html
Stat 201 Fall 2008
Homework 9 - KEY
Page 1 of 7
Due:
Wednesday, October 29, at the beginning of lecture.
Homework considered late beyond the f
Lecture 17
Wed, Oct. 14
36-201
Fall 2015
Finding Probability on Normal Distributions
In lecture 16, we learned the following ideas:
Normal Distributions
[the basic formula is shown here for your own interest, but the formula won’t be tested in the course]