550.430 Introduction to Statistics
Spring 2012
Naiman
Homework #1
Due Monday Feb 6th
Note: Solutions to odd numbered exercises in the textbook appear in the back of the book.
You should try to work out the problems to get the solutions, and use the answer
550.430 Introduction to Statistics
Spring 2010
Naiman
Homework #2
Due Monday Feb 13th
(1) Chapter 7 #24
(2) Chapter 7 #35
(3) Chapter 7 #37
(4) Suppose we estimate the mean income for people living in some city using an estimator with the property that
N
Todays Lesson
1.
2.
The Chi-Square Distribution
Statistical Inference for a Population Variance
3.
4.
The F Distribution
Comparing Two Population Variances by Using
Independent Samples
When to use Chi-Square
Chi-Square can be used to test for variance.
Of
Todays Lesson
1. Chi-Square Goodness-of-Fit Tests
Uniform patterns
Specific patterns
normal distribution pattern
2. A Chi-Square Test for Independence
Chi-Square Goodness-of-Fit Tests
Non-parametric tests
Often use categorical data for statistical infer
Statistical Analysis
Hypothesis Testing
1.
2.
3.
4.
5.
6.
Null and Alternative Hypotheses Principles and Rules
Errors in Hypothesis Testing
z Tests about a Population Mean Known
t Tests about a Population Mean Unknown
z Tests about a Population Proportion
Statistical Analysis
BU.510.610
Confidence Intervals
1.
2.
3.
4.
5.
z-Based Confidence Intervals for a Population Mean:
Known
t-Based Confidence Intervals for a Population Mean:
Unknown
Sample Size Determination
Confidence Intervals for a Population Pro
Statistical Analysis
BU.510.601
Sampling and Sampling Distributions
1. Random Sampling
2. The Sampling Distribution of the Sample Mean
3. The Sampling Distribution of the Sample
Proportion
4. Stratified Random, Cluster, and Systematic
Sampling
5. More abo
Statistical Analysis
Analysis of Variance
1.
2.
3.
4.
5.
6.
7.
8.
History and Uses
Meaning of Analysis of Variance
Terminology
One Way ANOVA
Examples
Tukey Test
Least Significance Difference Test (LSD Test)
Other Tests
a. Two Way ANOVA
b. Factorial Analys
Memorandum
To: Bonnie, CEO of Princess Foods Corporation
From: Victor Yoon, Business Consultant
Date: 8/30/15
Subject: Burlington factory, Fruit Cocktail Inventory
This memo is in reference to the Fruit Cocktail production at the Burlington factory. Due t
Memorandum
To: Bonnie, CEO of Princess Foods Corporation
From: Victor Yoon, Business Consultant
Date: 8/23/15
Subject: The "Tiara" Ice Cream Line Pilot Data
The "Tiara" ice cream line has been piloting for the past 50 weeks. The data received was the
prof
550.430 Introduction to Statistics
Spring 2012
Naiman
Homework #4
Due Monday Feb 27th
(1) The following question was raised in Lecture #6. If X is a random variable, is it always
the case that Cov(X p , X q ) 0 if p and q are positive integers?
(a) Consid
550.430 Introduction to Statistics
Spring 2012
Naiman
Homework #3
Due Monday Feb 20th
(1) Consider simple random sampling (without replacement) using a sample of size n
from a population of size N where each individual i has two attributes xi and yi . Let
Chapter 1
An experimental unit is the individual or object on which a variable is
measured.
A single measurement or data value results when a variable is actually
measured on an experimental unit.
A population is the set of all measurements of interest to