Based on the following qqplots,
how well do you think a Gaussian
model fit the data?
If you think a Gaussian model does
not fit the data indicate another
model that you think might fit better.
Suppose y1,y2,yn is an observed random sample
from the distrib
STAT230
PROBABILITY
Chapter 8 (b)
03/07/2016
Chapter 8 - Continuous Probability Distributions
2
The Uniform Distribution from a to b or
( Rectangular Distribution )
A continuous random variable , X, is said to have a Uniform
distribution from a to b on t
STAT 230
PROBABILITY
(Chapter 1 and 2)
04/05/2016
Chapter 1 and 2
2
Introduction to Probability
Chapter one objectives
Definitions of Probability
- Understand the classical definition of probability.
- Understand the relative-frequency definition of prob
Read Chapter 3 and do end of chapter
problems. There will be a similar
question on Tutorial Test 2.
Start reading Chapter 4: Estimation
Assignment 2 posted on Learn is due
Friday February 10 at noon.
(1) Definition of a Point Estimate (Review)
(3) Definit
Read Chapter 2
Start working on the end-of-chapter
problems.
1) Definition of a (Point) Estimate of an
Unknown Parameter
2) Method of Maximum Likelihood
i) Definition of the Likelihood Function
ii) Definition of the Maximum Likelihood
Estimate
iii) Defini
STAT 231 TUTORIAL QUIZ #1
VERSION A SOLUTIONS
FIRST NAME (Please Print): _
LAST NAME (Please Print):_
Signature:_
Question Marks
1
4
2
6
3
8
4
5
5
7
Total
30
Aids: Only question pages will be marked. Final numerical answers must be rounded to
exactly 3 de
STAT 231 TEST 1 MARK SCHEME
Please mark in RED INK and give a brief indication to the student of why you have taken o
marks when you do. The solutions are in BOLD, everything else was on the question sheet.
1. [0.5 marks for each part] In the sentences be
WW bur
mm.
ID Number:
NAME (Please Print):
Signature:
Marker Initials (iii) A point estimate of 9 based on the observed data is _ .
(iv) An approximate 95% condence interval for 0 based on the observed data is _
(11) By reference to the condence interval
1: [7
1 = 7 marks] Circle the letter corresponding to the correct answer.
(a) Consider an experiment in which data y1 ; y2 ; :; yn are collected and the sample mean y =
1
n
n
P
yi
i=1
is used to estimate the mean of the population. Which of the following
1: [7
1 = 7 marks] Circle the letter corresponding to the correct answer.
(a) Consider an experiment in which data y1 ; y2 ; :; yn are collected and the sample mean y =
1
n
n
P
yi
i=1
is used to estimate the mean of the population. Which of the following
Chi-Squared Distribution
Fall 2016
()
Chi-Squared Distribution
Fall 2016
1 / 19
A New Distribution
A distribution that is used frequently in methods of
estimation and hypothesis testing is a distribution called
the Chi-squared distribution.
This distribut
The following data set y1,y2,y39 consists of
the annual income for 39 people selected at
random from people living in Conestogo. The
data are in thousands dollars.
23
42
56
69
26
44
56
73
28
44
56
76
28
48
58
77
31
49
58
81
39
=1 = 2157
34
51
59
86
and
35
STAT 221/231 - Statistics
Fall 2016
Course Syllabus
The Course Information Page:
learn.uwaterloo.ca You are expected to regularly read your UWaterloo email and visit the course website on Learn for
announcements.
Instructors:
Sec Instructor
001 Cyntha Str
STAT 231 Tutorial Test 2
Wednesday November 2 in your scheduled tutorial time.
You may ONLY write in your assigned tutorial time.
Seating is predetermined so please check your seat assignment at
https:/odyssey.uwaterloo.ca/teaching/schedule
Bring your Wat
STAT 221/231 Midterm Test 1
Thursday October 13, 4:40-6:10 pm
Seating for Midterm Test 1 is predetermined so please check your seat assignment at
https:/odyssey.uwaterloo.ca/teaching/schedule after 1pm on Friday October 7.
Bring your Watcard and a ruler.
Midterm 1 Review
Covers the material in Chapter 1 and the material in Section 2.1 which is a review of STAT 230 material.
* Chapter 1 Problems: 1-20.
Empirical Studies (Sections 1.1-1.2)
Summary
- units, populations and processes (page 1) variate and type