1. {13 marks] Suppose y1,y2,.,yn is an observed random sample from the distribution with probability function
J0me) = (y + 1M1“ Way for y = (I, 1,. , 6 6 (0,1)
where 6‘ is an unknown parameter.
(a) [4] Find the maximum likelihood estimate a for G. Show yo
STAT 231 Tutorial Test 1: Week of January 20-24 in your
scheduled tutorial time. You may write ONLY in your
assigned tutorial time!
PINK TIE CALCULATORS ONLY. Bring your Watcard.
Check D2L for information about seating arrangements.
Tutorial Test 1 covers
1
Tutorial 1 Solutions
1.11 (a) Since the n people are selected at random from a large population it is reasonable to assume that the people are
independent and that the probability a randomly chosen person has blood type A is equal to . Therefore we have
STAT 231 (Statistics)
Section 002
Winter, 2015
Chong Zhang
M3 4114
chong.zhang@uwaterloo.ca
Course overrides for
this course are handled
by Diana Skrzydlo
(M3 3144)
(dkchisho@uwaterloo.ca)
Class participation is expected.
It will not be graded.
Some mater
Goodness
of Fit Tests
The Poisson distribution is used to model random
events in time
In a 1910, Ernest Rutherford and Hans Geiger
recorded the number of alpha-particles emitted
form a polonium source during a fixed period of
time (one-eighth of a minute
Stat 231 - SLR Example
Suppose we would like to investigate the relationship between the maintenance cost (in thousands of dollars) of Boeing 787 aircraft and the number of ight hours. The dataset airline_slr.txt
is available on Learn and contains data fo
Final Exam Information
With respect to the nal exam, please note that it will be held on December 16th,
2014 from 9:00am to 11:30am in PAC 1, 2, 3, 4, 5.
It will cover chapters 1, 2, 4-7, excluding sections 5.4 and 6.4.
ALL of section 10 (formulas and
1
STAT 231 Midterm Test 2
Solutions
2
1: [18]
(a) [3] Suppose Y v Binomial (n; ). An experiment is to be conducted in which data y are to be collected to estimate
. To ensure that the width of the approximate 90% condence interval for is no wider that 2 (
Midterm 1 STAT 231
Date: October 15th, 2010: 4-30-6-20 p.m.
_
_
NAME: (Print) _, _
Family Name
Given Name
UW Student ID Number: _
Section: (Please indicate which section)
Section 1: (Tuesday-Thursday 10-11-20, MC 2065)
Section 2: (Tuesday-Thursday 10-11-2
Stat 231 - Quiz 1 - Fall 2014
Please submit your solution le to the dropbox by Monday September 30th, 2014 at 7:59pm
Failure to provide a submission in the required format will result in no points being awarded.
Your lename does not matter. Just ensure th
Stat 231 - Quiz 2 - Fall 2014
Please submit your solution le to the dropbox by Monday October 27th, 2014 at 7:59pm
Failure to provide a submission in the required format will result in no points being awarded.
Your lename does not matter. Just ensure that
Stat 231 - Quiz 1 Solution - Fall 2014
Please submit your solution le to the dropbox by Monday September 29th, 2014 at 7:59pm
Failure to provide a submission in the required format will result in no points being awarded.
Your lename does not matter. Just
UNIVERSITY OF
WATE R LOO
Examination
Please print in pen:
Waterloo Student ID Number-
Midterm
m
Fall 2013
Times: Tuesday 20l3-I0-08 at 16:45 to 17:45 (4:45 to 5:45PM) STAT 23 1
Duration: l hour (60 minutes)
Exam ID: 2626375 . '
Sections: STAT
Experiments impose treatments and observational
studies do not.
Both designs need to have randomization or else their
results are irrelevant.
In observational studies the condition of randomization is
met by randomly selecting the sample.
Experiments do
Assignment 3 Example
LAST NAME: STRUTHERS
FIRST NAME: CYNTHA
USERID: castruth
UWaterloo ID: 20456484
You must include your name and ID
otherwise 4 marks are deducted.
Data must be generated using your
ID number; otherwise 4 marks are
deducted.
Problem 1:
Assignment 3 Template
LAST NAME:
FIRST NAME:
USERID:
UWaterloo ID:
Problem 1: Fill in the information below based on your data which were
generated using your ID number as the seed for the random number generator.
n = 30
theta =
The first 10 approximate 9
STAT 231 Assignment 3
The purpose of this assignment is to use the software R to calculate confidence intervals, examine the
behaviour of confidence intervals, and examine the sampling distribution of the likelihood ratio statistic.
The code for this assi
Assignment 3 Example
LAST NAME: STRUTHERS
FIRST NAME: CYNTHA
USERID: castruth
UWaterloo ID: 20456484
Problem 1: Fill in the information below based on your data which were
generated using your ID number as the seed for the random number generator.
n = 30
Assignment 1 Marking Scheme
LAST NAME: STRUTHERS
FIRST NAME: CYNTHA
USERID: castruth
Data must be generated using your ID
number not the ID number in the
posted example; otherwise 4 marks
(10%) are deducted.
UWaterloo ID: 20456458
Problem 1:
The first fiv