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
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 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
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
Dalhousie University - Department of Mathematics and Statistics
Course Handout - Detailed syllabus
Introductory Statistics for Science and Health Sciences
STAT 1060/MATH 1060 - Fall 2015
Instructors
Oce
Email
Oce hours
A. Sarhan(Coordinator) Chase 105 asa
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
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
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
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
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.
Main Points
1. Point Estimate of population mean ().
2. Sampling distribution of the sample mean X.
3. Interval estimate of the population mean ().
4. Testing of a hypothesis about the population mean ().
5. Condence intervals and Testing of hypotheses.
1
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
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
STAT 1060
Chapter 23 - Notes
Inferences for Means
Ammar Sarhan
Fall 2012
Ammar Sarhan Fall 2012
De Veaux, Chapter 23
1 / 20
Main Points
1
Point Estimate of population mean ().
2
Sampling distribution of the sample mean X .
3
Interval estimate of the popul
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 - 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
Chapter 27
Stat 1060
Inferences for Regression
Dr. Ammar Sarhan
Readings: Chapter 8 of your tesxt book (DeVeaux, Vellman and Bock); on-line notes and on-line practice problems.
1
An Example: Body Fat and Waist Size
Our chapter example revolves around the
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
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
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
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
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:
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
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
STAT 1060 - Module 1 - Quantitative Data - Chapter 4
Dr. Ammar Sarhan
March 15, 2015
The Main Points
The five-number Summary.
Outliers.
Boxplots.
Comparing distributions.
Re-expressing (transforming) data.
1
The Big Picture
We can answer much more i
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
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
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
Chapter 4:
Understanding and Comparing Distributions
Holly Steeves
Dalhousie University
May, 2017
Holly Steeves (Dalhousie University)
Chapter 4: Understanding and Comparing Distributions
May, 2017
1 / 17
Learning Objectives
Choose the right tool for comp
Chapter 5:
Standard Deviation as a Ruler and the Normal Model
Holly Steeves
Dalhousie University
May, 2017
Holly Steeves (Dalhousie University)
Chapter 5: Standard Deviation as a Ruler and the Normal Model May, 2017
1 / 26
Learning Objectives
Understand h
Practice Problems - Set 3 - Chapters 12 & 13
Dr. Ammar Sarhan
1. The following table shows the number of medals won by countries during the 2008 Beijing
Summer Olympics. An athlete was selected at random from 2008 Beijing Summer Olympics.
China
United Sta
1
Statistics 1060 Practice Midterm Exam Winter
2017
Department Mathematics and Statistics - Dalhouise University
Time: 7:30 - 9:30 pm
VERSION A
Last name
First name (Clear and neat)
Name
: -
Student B00#
: -
NET ID
: -
Signature
: -
This exam is worth a