Ch. 14 - Introducing Probability
Defn: An experiment is a process that, when performed, results in one and only one of
many observations.
These observations are called the outcomes of the experiment.
Probability is a numerical measure of likelihood that a
Note:
1. This quiz is about topics covered in chapters 14 to 16.
2. The solution is given at the end of the file.
3. Please do not email me if you would like to discuss about the solution.
Come to my office instead.
Quiz 5-1: The presence of markings in t
Note:
1. This quiz is about topics covered in chapter 6 (normal distribution)
chapters 14 to 16 and chapter 18.
2. The solution is given at the end of the file.
3. Please do not email me if you would like to discuss about the solution.
Come to my office i
Multiple Partial F Test
Want to test whether the addition of the k variables X1*, X2*, Xk* significantly
improves the prediction of Y, given that variables X1, X2, X3 , Xp are already in
the model.
H0 : X1*, X2*, Xk* do not significantly add to the predic
Note:
1. This quiz is about topics covered in chapter 1 and chapters 11 to 13.
2. The solution is given at the end of the file.
3. Please do not email me if you would like to discuss about the solution.
Come to my office instead.
Quiz 1-1: A random sample
Chapter 1
Defn: Statistics:
1) are commonly known as numerical facts
2) is a field of discipline or study
Here, statistics is about variation.
3 main aspects of statistics:
1) Design (Think): Planning how to obtain data to answer questions.
2) Description
Chapter 25: Comparing Two Population Means Paired
Samples
In this chapter, we will talk about:
The difference between independent and dependent samples,
Hypothesis tests for a matched pairs design,
Confidence intervals for 1 2 , for a matched pairs design
A-58
APPENDIX D
Tables and Selected Formulas
Table Z
Areas under the
standard Normal curve
Second decimal place in z
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0.00
z
23.9
23.8
23.7
23.6
23.5
0.0001
0.0001
0.0001
0.0002
z
0.0001
0.0001
0.0001
0.0002
0.0
Chapters 7 10: Exploring Relationship Between Variables Linear Regression and Correlation
In these chapters, we will quickly talk about
Scatter-plots
Association between two quantitative variables
The purposes of regression and correlation analysis,
How t
Chapters 2 - 6: Exploring and Understanding Data
Descriptive Statistics
In these chapters, we will talk about:
Type data:
Qualitative or Categorical Data: Nominal and ordinal data
Quantitative data or measurement data: Discrete and continuous data
Orga
Chapter 18: Sampling Distribution Models
In this chapter, we will talk about:
Sampling distribution of the sample mean,
Central limit theorem,
Sampling distribution of the sample proportion, when sample size is large.
Definition: The probability distribut
Chapter 24: Comparing Two Population Means Two
Independent Samples
In this chapter, we will talk about:
The difference between independent and dependent samples,
Two-sample hypothesis tests of means when 1 2 is unknown,
Confidence intervals for 1 2 when 1
Chapter 22: Comparing Two Proportions
In this chapter, we will talk about:
Hypothesis test for comparing two proportions.
Large-sample confidence intervals for comparing two proportions,
Suppose a sample of 300 urban adult residents of Alberta revealed 63
Chapters 14 - 16: Probability
In these chapters, we will talk about
Sample space,
Events,
Probability for some events,
Complement of an event,
The union of two events,
The intersection of two events,
Mutually exclusive or disjoint events,
Probability rule
Chapter1:Introduction
Chapter1:Introduction
Definition: The
informationthatwe
gatheriscalleddata.
Definition:Statisticsisthe
scienceofacquiring
informationfromdata.
Definition: The entire group of objects about which
information is wanted is called popu
Chapters 19 - 21: Statistical Inference Confidence Interval
and Hypothesis Testing for One Population Proportion
In these chapters, we will talk about:
Estimation of a population proportion,
Large-sample confidence interval for a population proportion,
Ho
Chapter 26: Chi Square Tests
In this chapter, we will talk about:
A goodness of fit test,
Chi-square test of independence in a contingency table.
Chi-square test of homogeneity in a contingency table.
Definition: A goodness-of-fit test is one that is used
Stat 141 MidtermReview Fa112013
1) Suppose in a statistic class, there are 100 students that had the following frequency
distribution of blood type
BloodType I A B 1 AB 0
l Frequency
25 30 L 35 10
If a randomly selected student does NOT have bl
Stat 141 Formula Sheet
Central Limit Theorem: For large n (n > 30) ,
the sampling distribution of Y is approximately
normal.
Numerical Sum maries :
Sample Mean : y =
yi
n
( yi y ) 2
n 1
2
Sample Variance : s
Range : max min
Interquartile Range : IQR =
Stat 141 Formula Sheet
Central Limit Theorem: For large n (n > 30) ,
the sampling distribution of Y is approximately
normal.
Numerical Summaries :
i Sample Mean : y =
yi
n
( yi y ) 2
n 1
2
i Sample Variance : s
i Range : max min
i Interquartile Range :
Page 3 of 7
Ten years ago (at your company), the average number of consecutive summer vacation days taken was 12.5 days. You now
take a random sample of 9 people and determine a sample average of 10.1 consecutive vacation days and sample standard
deviatio
Stat 141 Fall 2013 Section B1
Some questions for Final Review
1) Here are boxplots of the points scored during the first 10 games of the basketball season for both
Caroline and Alexandra. The coach can take only one player to the state championship. Which
Youth and Adolescence [1995]: 315334) conducted a telephone
survey of parents with preteen and teenage children. One of the
questions asked was How effective do you think you are in talking
to your children about drinking? Responses are summarized in the
Statistics 141 Course Outline for Fall 2013
University of Alberta
Department of Mathematical & Statistical Sciences
Statistics 141 INTRODUCTION TO STATISTICS Lecture B1
Spring 2013 (Term: 1450 Class Number: 42667)
Instructor: Tahir Choulli
Office: CAB 663
Chapter 23: Inferences about the
Mean
0 The t~1n0de1
0 Condence Interval for the mean
0 Hypothesis Testing for the mean 1. The t-Distribution/ Model:
o The 16 distribution (student distribution) has a Bell shape and
is characterized by a positive number
Chapter 23: Statistical Inference Confidence Interval and
Testing Hypothesis for One Population Mean
In this chapter, we will talk about:
Estimation of a population mean,
Confidence interval for a population mean when is unknown,
How to choose the sample
Chapter 3: Displaying and Summarizing Quantitative Data
By the end of this chapter you should be able to analyze data from
quantitative variables using descriptive statistics. In particular, you will
learn how to use:
Histogram,
Stem-and-leaf display,
Dot
Chapter 6: The Standard Deviation as a
Ruler and the Normal Model
By the end of this chapter you should be able to explain the effect of shifting
data by adding (or subtracting) a constant to each value on measures of
position and measures of spread.
In f
Chapter 12: From Randomness to Probability
By the end of this chapter you should be able to define and/or understand:
Sample space,
Events,
Probability for some events,
Complement of an event,
The union of two events,
The intersection of two events,
Chapter 13: Probability Rules
By the end of this chapter you should be able to define and/or understand:
Probability rules,
Conditional probabilities,
Independence of two events,
General multiplication rule,
Definition: A conditional probability is the p