Statistics 285
Solutions to HW #2 Problems
3.2
a.
This is a Venn Diagram.
b.
If the sample points are equally likely, then
P(1) = P(2) = P(3) = = P(10) =
1
10
Therefore,
1
1
1
3
+
+=
10 10 10 10
1
1
2
Statistics 285
Solutions to HW #1 Problems
1.14
a.
The two variables measured are type of credit card used and amount of purchase.
Type of credit card used is qualitative. It has no meaningful number
Section 2.3- 2.7
Center
Spread
Calculating median, m
Arrange the n measurements from smallest to largest
1. If n is odd m is the middle number
2. If n is even m is the mean of the middle two numbers
S
Syllabus Stat 285 Spring 2011 A. Course: 960:285:01, Statistics for Business- Section 01 B. Prerequisites: 01:640:115 or equivalent. Credit not given for more than one of 01:960:201, 211, 285, and 401
Descriptive Statistics for
Quantitative
Quantitative Data - I
By: Andrew Magyar
Notation
Suppose we have n experimental units and are
interested in a single variables that is
quantitative in nature.
Introduction to
Hypothesis
Hypothesis Testing
By: Andrew Magyar
In a hypothesis testing problem, one must decide
which one of two hypothesis/theories should be
accepted based on the data/evidence.
E
Problem 6
A county judge has agreed that he will give up his county judgeship and run for a state judgeship unless
there is evidence that more than 25% of his party is in opposition. A random sample o
Suggested Readings from Textbook
Chapter 1
Section 1 The Science of Statistics
Section 2 Types of Statistical Applications in Business
Section 3 Fundamental Elements of Statistics
Section 5 Types of D
Confidence Intervals for under the Normal Model
Suppose the data X1, . . ., Xn is an i.i.d. sample with Xi ~ Norm(, 2)
It follows that
2
X ~ Norm ,
n
When there constructing confidence intervals, t
Hypothesis Tests for under the Normal Model
Suppose the data X1, . . ., Xn is an i.i.d. sample with Xi ~ Norm(, 2)
It follows that
2
X ~ Norm ,
n
When implementing hypothesis tests, there are two s
Stat 960:285
Assignment #2
Due Date 2/9/2012
Question 1
You will need to download the file Homework_2_1_dataset.com from Sakai. This is a
bivariate dataset. Do the following.
a) Identify the two varia
Abstract:
Each singer in the NY Choral Society in 1979 self-reported his or her height to the nearest inch. Their voice parts in order from highest pitch to lowest pitch are Soprano, Alto, Tenor, Bass
Abstract:
The increase in annual world crude oil production from 1880 to 1973 follows a pattern of exponential growth. In order to fit a linear model to these data, the oil production variable must be
Stats: Counting Techniques
Definitions
Factorial
A positive integer factorial is the product of each natural number up to and
including the integer.
Permutation
An arrangement of objects in a specific
Introduction
Introduction
By: Andrew Magyar
What is Statistics?
Most people view statistics merely as collecting,
organizing, and presenting figures and numbers.
This is only part of what statistics
Hypothesis Tests & Confidence Intervals for a population
proportion p
Suppose the data X1, . . ., Xn is an i.i.d. sample with Xi ~ Bern(p)
It follows for large n,
p (1 p )
1n
p = X i ~ Norm p,
n i =
Stat 960:285
Assignment #1
Due Date 2/2/2012
Instructions:
1) Write your name & the section number that you are registered for on your
submission.
2) Include all relevant computer output and code. Do
Stat 960:285
Assignment #3
Due Date 2/23/2012
Question 1
Part I - Shade in the area on a Venn diagram that represents the events listed in (a) through (j).
You will have to draw a separate Venn diagra
Stat 960:285
Assignment #4
Due Date 3/1/2012
Problem 1
An urn contains two green balls and three red balls. Other than color the balls are
identical, thus the chances of picking each ball is equally l
Stat 960:285
Assignment #6
Due Date 3/20/2012
Find the following probabilities. It helps to sketch the p.d.f. for Standard Normal Distribution
and shade in the area that corresponds to the probability
Stat 960:285
Assignment #5
Due Date 3/8/2012
For all of these problems, remember the fact that random variables taking on specific values is an
event, thus they can be manipulated using unions, inters
Stat 960:285
Assignment #7
Due Date 4/5/2012
Part I
Problem #1
The weights of the drained fruit found in 21 randomly selected cans of peaches packed by Sunny
Fruit Company were (in ounces)
11.0
11.6
1
Bad Statistical
Practice
Practice
By: Andrew Magyar
Association and Causality
No matter what the nature of the data, even if
there does seem to be a relationship between the
two variables, one must n
Bivariate
Bivariate Data - I
By: Andrew Magyar
Bivariate Data
Up to now, dealt with data in which there was
only one variable we were interested in.
In other words there was exactly one data point
f
Bivariate
Bivariate Data - II
By: Andrew Magyar
Quantitative &
Qualitative
Qualitative
Example 2: Cancer Survival Data
Patients with advanced cancers of the
stomach, bronchus, colon, ovary or breast
Graphical Displays
for
for Qualitative Data
By: Andrew Magyar
Charts and Displays for Nominal Data
Example 1: Suppose we sampled 10 clients
from a local travel agency and asked them
their travel dest
Stats: Probability Rules
"OR" or Unions
Mutually Exclusive Events
Two events are mutually exclusive if they cannot occur at the same time. Another
word that means mutually exclusive is disjoint.
If tw
Stats: Hypothesis Testing
Introduction
Be sure to read through the definitions for this section before trying to make sense out
of the following.
The first thing to do when given a claim is to write t
Outline
Confidence interval-proportion
Determining sample size
Mean (known )
Proportion
Confidence interval for variance
Confidence interval proportion
Is an average of 0s and 1s
From the central