The University of New Haven
The College of Arts and Sciences
Department of Mathematics and Physics
Course: MATH 2228-04
Title: Elementarry Statistics
Semester: Fall 2014
Meeting Times: MWF 1:40am2:55pm
Classroom: Kaplan 208
Credit Hours: 4
Office Hours: M
Binomial Distribution Problems
1. A company owns 400 laptops. Each laptop has an 8% probability of not working. You randomly select
20 laptops for your salespeople.
a) What is the likelihood that 5 will be broken?
(b) What is the likelihood that they will
Lab 5: Foundations for Statistical Inference - Sampling Distributions
In this lab, we investigate the ways in which the statistics from a random sample of data can
serve as point estimates for population parameters. Were interested in formulating a sampli
Chapter 9 Moore IPS 7e
For Questions 1 2
A large study was done to compare two treatments for recurring ear infections in young children. A total
of 150 subjects were recruited for the study, with 50 subjects assigned at random to treatment 1 and the
rema
Chapter 6 Moore IPS 7e
1. I use computer software to do the following. I generate ten random numbers from a N(500, 100)
distribution. From these ten numbers I compute a 95% confidence interval for the mean using the
formula
x 1.96
100
10
where x is the m
Chapter 4 Moore IPS 7e
1. A college basketball player makes 80% of his free throws. At the beginning of a game he misses his first two
free throws. We may correctly conclude
a) he will make his next eight shots.
b) he will make eight shots in a row someti
The Binomial Distribution
In many cases, it is appropriate to summarize a group of independent observations by the number of observations in
the group that represent one of two outcomes. For example, the proportion of individuals in a random sample who
su
Hypergeometric Distribution
The binomial setting assumes n trials with replacement, so that the trials are all independent. If n
trials are without replacement, then the probability distribution is Hypergeometric, and trials are
dependent.
r N r
k n
Statistics: Summary of Inference Tests
Assumptions
Case 1
Case 2
Case 3
Pop. Normal
2
12 , 2 known
Small sample (n <30)
Independent Samples
Pop. Normal
2
12 , 2 unknown but
equal
Small sample (n <30)
Independent Samples
Pop. Normal
2
12 , 2 unknown and
Geometric Distribution
If we let X be the random variable of the number of trials up to and including the first success,
then X has a Geometric Distribution. The geometric distribution is a special case of the negative
binomial distribution. It deals with
Lab 1.3: Introduction to Data
Some define Statistics as the field that focuses on turning information into knowledge. The first step
in that process is to summarize and describe the raw information - the data. In this lab, you will gain
insight into publi
Lab 0: Simple Plot in R
This section will begin a very gentle introduction to plotting in R. The goal is to show how one can
draw the plot of a function using R and annotate the resulting plot. The tutorial is easy to follow and
it gives you a nice overvi
Lab 2.2: Introduction to Linear Regression I
Batter up
The movie Moneyball focuses on the quest for the secret of success in baseball. It follows a
low-budget team, the Oakland Athletics, who believed that underused statistics, such as a
players ability t
Lab 2.4: Introduction to Linear Regression II
We will work with data on the fat and protein content of items on the Burger King menu.
In RStudio, Environment in Quadrant I, goto Import Data, and paste in the URL
http:/statland.org/AP/R/BKmenu.txt
Console
You should have all work below either typed or in pencil in your 1 subject spiral notebook.
Due day of Final Exam. No Exceptions! Worth 100 pts.
Chapter 1: Looking at Data Distributions
1.1 Data 1.1: #1.9 1.15,
1.2 Displaying Distributions with Graphs 1.2
Multiple Regression
y = 0 + 1 x Simple Linear Regression Model (one explanatory variable)
y = 0 + 1 x1 + 2 x2 + . k xk Multiple Regression Model
Although software packages are more suitable for multiple linear regression problems, we can use the TI83/84
Statistics: Chi-square Tests
URL: http:/mathbench.umd.edu/modules/probstat_chisquare_intro/page01.htm
Do those shoes fit?
We are going to discuss and explore a statistical test used for goodness of fit. What does this mean?
You know whether your shoes fit
On Your Own Lab_7_Morelli.rtf
Email: cmore3@unh.newhaven.edu
Name: Christine Morelli
Score:
1.Calculatea95%confidenceintervalfortheaveragelengthofpregnancies(weeks)and
interpretitincontext.Notethatsinceyouredoinginferenceonasinglepopulationparameter,
ther
R Test for Chaps 1-3 R_Test_Morelli.rtf
Email: cmore3@unh.newhaven.edu
Name: Christine Morelli
Score:
1. Load the beer data set provided into RStudio by showing the datapath. The data should
load in the first and appear in the second quadrant. (This datas
On Your Own Lab_1.2_Morelli.rtf
Email: cmore3@unh.newhaven.edu
Name: Christine Morelli
Score:
1. What years are included in this data set? What are the dimensions of the data frame and
what are the variable or column names?
> present
year boys girls
1 194
Chapter 1 Test Bank Questions
1. A sample of 160 workers in the downtown area classified each worker by race. A bar graph of the
results is given below, but the bar for black workers in the graph below has been omitted.
Using the information provided, the
The Birthday Problem
If we have 3 people, the probability no two people have the same birthday
365 364 363 365 P3
=
= 0.992
365 365 365 3653
The number of permutations of n distinct objects is n factorial usually written as n!,
which means the product of
Chi Squared
2
Test
A study of the relationship between men's marital status and the level of their jobs used data
on all 8235 male managers and professionals employed by a large manufacturing firm. Each
man's job has a grade set by the company that reflec
Chi-Squared Test
We use the
2 Test to analyze categorical data.
Ex 1. Chronic users of cocaine need the drug to feel pleasure. A 3-year study compared an antidepressant called desipramine with lithium (the standard treatmeant) and a placebo. The
subjects
Lab 4.2: Probability
Hot Hands
Basketball players who make several baskets in succession are described as having a hot hand.
Fans and players have long believed in the hot hand phenomenon, which refutes the assumption
that each shot is independent of the
Lab 1.4: The Standard Normal Distribution using
R
One of the most fundamental distributions in all of statistics is the Normal Distribution or the
Gaussian Distribution. According to Wikipedia, "Carl Friedrich Gauss became associated with
this set of dist
MATH 2228 E-Resources
Goto
http:/angel.bfwpub.com/section/default.asp?id=ips8e%2Denhanceddemo%2Dpool%2D7%2D9%2D2014%2D3
%2D23%2D49%2DPM
and
http:/bcs.whfreeman.com/ips8e/default.asp#t_922171_
There you will find resources to supplement the text
E-book wh
Z-elay 1
1. The population of professional hockey players is approximately normally distributed with
mean height 73 inches and standard deviation 2 inches. What proportion of hockey players
are over 64 (76 inches) tall? Express the answer as a percent rou