STATS 1060
PART 2: INFERENCE FOR MEAN
DIFFERENCE: TWO SAMPLES
Dr. Joseph P. Bielawski
READINGS: Chapters 24 & 25 (1st edition) or Chapters 21 & 22
(2nd edition) of your text book (DeVeaux, Vellman and Bock)
(Chapter 24,25 / 21,22)
Inference for mean
This is an example to explain how to calculate the mean, variance and standard deviation
using the frequency table:
Consider the following data:
Values (x)
-10
0
10
20
Observations(f)
20
10
12
15
We can use the following table as calculations table:
X
-10
These practice questions are divided into two, related, sets of questions.
The first set concerns INFERENCE ABOUT PROPORTIONS, and the answers to
the 22 questions on this topic are given on page 5. The second set
PRACTICE QUESTIONS FOR TWO-SAMPLE TESTS ABOUT MEANS:
1. Which of the following refers to how the estimated difference between
population means vary between different samples:
a. Standard deviation of the sample
b. St
9/12/2008
Dr. Lunsford
MATH 171
In-Class Quiz 1
Name:_
40 Points Possible
Problem I. A sample of 25 employees from the local manufacturing plant was obtained and the length
of time (in months) worked was recorded for each employee. Below are the data for
Statistics 1060 - Winter 2012 - Tutorial 4
Binomial Distribution
1. A binomial distribution is specied by two parameters, n = the number of trials
and p = the probability of success on a single trial. In n trials, X, the total number of
successes, can be
Statistics 1060 - Winter 2012 - Tutorial 2
1. Linear transformations: changing units or scale (xnew = a + bx)
Transformation or re-expression of a variable x means replacing x by a new
variable say xnew The simplest transformations are linear transformati
1
Statistics 1060 - Winter 2012 - Tutorial 5
Sampling Distributions
1. Normal Quantile Plots: The normal quantile plot is a device to assess whether
or not a sample might have arisen from a normal distribution. Also known as
a normal QQ plot, or a normal
Statistics 1060 - Winter 2012 - Tutorial 3
Normal Distribution Calculations
Normal distribution calculations can be performed in MINITAB using the CDF and
INVCDF commands.
CDF
The CDF command gives the area in a distribution to the left of a given value.
STATS 1060
Relationships between variables:
Regression
READINGS: Chapters 8 and 27 of your text book (DeVeaux,
Vellman and Bock); on-line notes for regression; on-line practice
problems for regression
(Chapters 8 and 27)
Regression
Page 1
What is regr
STAT 1060 - Notes 1
Quantitative Data
Chapters 4 and 5
September 5, 2013
(Chapters 4 and 5)
Looking at Data
September 5, 2013
1 / 37
Main Points
Displaying and summarizing quantitative data.
Visual displays:
Histograms
Stem-and-Leaf plot
dotplot
boxplot
u
STAT 1060: Notes 2
Randomness, Sampling and Experiments
Chapters 11 and 13
September 18, 2013
(Chapters 11 and 13)
STAT 1060
September 18, 2013
1 / 20
Randomness
Randomness - (Chapter 11)
1
Events: Some events involve uncertainty or chance outcomes
2
Rand
STAT 1060 - Chapters 18, 19
Sampling Distributions and Random Variables
October 14, 2011
()
Probability and Random Variables
October 14, 2011
1 / 25
Main Points
Properties of a Statistic, such as sample proportions and the
sample mean, are described by a
STATS 1060
Joseph P. Bielawski
Room 7056, Biology wing of LSC
494-7844
[email protected]
PART I:
Hypothesis testing: (A) Introduction
and (B) Inference about proportions
PART II:
Inference about population means:
(A) Single mean and (B) Comparing means
P
STATS 1060
Relationships between variables:
Inference for Regression
READINGS: Chapter 27 (1st edition) or Chapter 24 (2nd edition) of
your text book (DeVeaux, Vellman and Bock).
(Chapters 8,27 / 7,24)
Regression
Page 1
Inference for regression
Our ta
STATS 1060
Relationships between variables:
Part 3: Regression
Dr.$Joseph$P.$Bielawski$
READINGS: Chapters 8 & 27 (1st edition) or Chapters 7 & 24 (2nd
edition) of your text book (DeVeaux, Vellman and Bock)
(Chapters 8,27 / 7,24)
Regression!
Page 1!
What
STATS 1060
PART 2: INFERENCE FOR MEAN
DIFFERENCE: TWO SAMPLES
Dr.$Joseph$P.$Bielawski$
READINGS: Chapters 24 & 25 (1st edition) or Chapters 21 & 22
(2nd edition) of your text book (DeVeaux, Vellman and Bock)
(Chapters 24,25 / 21,22)
Inference for mean dif
STAT 1060 - Notes 2
Displaying Descriptive Statistics
Chapters 4 and 5
January 11, 2016
(Chapters 4 and 5)
Looking at Data
January 11, 2016
1 / 45
Main Points
Summarizing data in tables, charts and graphs.
I
Tables (frequency tables):
F
F
I
Simple frequen
STATS 1060
Relationships between variables:
Inference for Regression
READINGS: Chapters 27 of your text book (DeVeaux, Vellman
and Bock); on-line notes for regression; on-line practice
problems
1. t-test of the slope of a regression line!
2. Confidence in
STATS 1060
Relationships between variables:
Part 3: Correlation
Dr. Joseph P. Bielawski
READINGS: Chapter 7 (1st edition) or Chapter 6 (2nd
edition) of your textbook (DeVeaux, Vellman and Bock)
(Chapter 7/6)
Correlation
Page 1
Variables can be as
STATS 1060
Relationships between variables:
Part 3: Correlation
Dr.$Joseph$P.$Bielawski$
READINGS: Chapter 7 (1st edition) or Chapter 6 (2nd
edition) of your textbook (DeVeaux, Vellman and Bock)
(Chapter 7/6)
Correlation!
Page 1!
Variables can be associat
STATS 1060
PART 2: INFERENCE ABOUT MEANS
Dr. Joseph P. Bielawski
READINGS: Chapter 23 (1st edition) or 20 (2nd edition) of your
text book (DeVeaux, Vellman and Bock)
(Chapter 23/20)
Inference about means
Page 1
Review: Dont confuse the distributi
STATS 1060
Introduction to hypothesis testing:
INFERENCE ABOUT PROPORTIONS
(PART 1: SLIDE SET 2)
READINGS: Chapters 20 & 21 (1st edition) or Chapters 17 & 18
(2nd edition) of your text book (DeVeaux, Vellman and Bock)
(Ch: 20-21 / 17-18)
Inference about p
STATS 1060
Relationships between variables:
Part 3: Regression
Dr. Joseph P. Bielawski
READINGS: Chapters 8 & 27 (1st edition) or Chapters 7 & 24 (2nd
edition) of your text book (DeVeaux, Vellman and Bock)
(Chapters 8,27 / 7,24)
Regression
Page 1
STATS 1060
PART 2: INFERENCE ABOUT MEANS
Dr.$Joseph$P.$Bielawski$
READINGS: Chapter 23 (1st edition) or 20 (2nd edition) of your
text book (DeVeaux, Vellman and Bock)
(Chapter 23/20)
Inference about means!
Page 1!
Review: Dont confuse the distribution of
STATS 1060
Introduction to hypothesis testing:
INFERENCE
ABOUT
PROPORTIONS (PART 1)
READINGS: Chapter 20 of your text book (DeVeaux, Vellman and
Bock)
(Chapter 20)
Inference about proportions
Page 1
Inference:
Inferential statistics: methods for learn
STAT 1060 - Notes 1
Quantitative Data
Chapters 3 and 4
January 4, 2016
(Chapters 3 and 4)
Looking at Data
January 4, 2016
1 / 22
Main Points
Displaying and summarizing quantitative data.
Numerical measures:
I
I
I
Measures of location: Mean, median, mode a
STATS 1060
Introduction to hypothesis testing:
INFERENCE ABOUT PROPORTIONS
(PART 1: SLIDE SET 2)
READINGS: Chapters 20 & 21 (1st edition) or Chapters 17 & 18
(2nd edition) of your text book (DeVeaux, Vellman and Bock)
(Ch: 20-21 / 17-18)
Inference about p
STAT 1060 - Chapters 20, 21
Testing Hypotheses about Proportions
October 14, 2011
()
Inference for Proportions
October 14, 2011
1/1
Main points
Tests of Hypotheses
1
Choose null hypothesis Ho and an alternative hypothesis Ha .
2
Compute a test statistic t