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STAT 255 A01/A03 Term Test 2a A. Argyle/ F. Wu March ll, 2014
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UNIVERSITY OF VICTORIA
MIDTERM 3 - VERSION 2 -
STATISTICS 255
6". ‘- r. .
NAME: 3 OLUT/ UNIS - STUDENT #:
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DURATION: 50 minutes V v [A01], [A02] M. Edwards
' ' [A03] F. Wu
STUDENTS MUST CO
UNIVERSITY OF VICTORIA
MIDTERM 3 - VERSION 1
STATISTICS 255
NAME: - (:2on 10N§ STUDENT #2
SIGNATURE:
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DURATION: 50 minutes
Instructor:
[A01], [A02] M. Edwards
[A03] F. Wu
STUDENTS MUST COUNT THE NUMBER OF PAGES IN
Last Name :
STAT 255 A01/A03
First Name:
Term Test 1a
Student Number:
A. Argyle/ F. Wu
February 5, 2014
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UNIVERSITY OF VICTORIA
MIDTERM 2 - VERSION 2
STATISTICS 255
NAME:
STUDENT #:
SIGNATURE:
SECTION:
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Instructor:
[A01], [A02] M. Edwards
[A03] F. Wu
DURATION: 50 minutes
STUDENTS MUST COUNT THE NUMBER OF PAGES IN THIS EXAMINA
Set 6 Mutually exclusive and independence
1. Each member of a certain population of unhealthy patients has a risk of heart attack at levels
low, medium, or high; and a risk of stroke at levels low, medium or high. The proportions of
patients within each o
Lebeuf, Megan
V00744345
Stats 255 Assignment 5
Instructor: Eric Cormier
R Assignment 3
All calculations, commands and outputs that were done in R are italicized
Part 1:
Making the vectors
>non.smokers <-c
(10.0,8.4,12.8,25.0,11.8,9.8,12.5,15.4,23.5,9.4,25
Set 3 Probability
1. An excess number of asbestos bodies were found in 98 of 140 construction workers studied.
What is the probability that a randomly selected construction worker will have an undue
number of asbestos bodies in the lungs?
2. A blight that
UNIVERSITY OF VICTORIA
MIDTERM 3 - VERSION 1
STATISTICS 255
NAME:
STUDENT #:
SIGNATURE:
SECTION:
TO BE ANSWERED ON the EXAM PAPER.
Instructor:
[A01], [A02] M. Edwards
[A03] F. Wu
DURATION: 50 minutes
STUDENTS MUST COUNT THE NUMBER OF PAGES IN THIS EXAMINA
UNIVERSITY OF VICTORIA
MIDTERM 3 - VERSION 2
STATISTICS 255
NAME:
STUDENT #:
SIGNATURE:
SECTION:
TO BE ANSWERED ON the EXAM PAPER.
Instructor:
[A01], [A02] M. Edwards
[A03] F. Wu
DURATION: 50 minutes
STUDENTS MUST COUNT THE NUMBER OF PAGES IN THIS EXAMINA
Stat 255 Set 27
Comparing Two Population Means: Matched Pairs Experiments
Experiments in which observations are paired and the differences are analyzed are called matched pairs
experiments. The idea is to compare population means by comparing the differen
SET 22
INFERENCES ON PROPORTIONS
A Populations Proportion is a statistic that represents the number of objects in a population that
have a particular trait.
P=X
N
where X denotes the # with trait
and N denotes the total # in the population
When we take a
Stat 255 Set 8
1
Random Variables
A random variable is a variable that assigns a numerical result to an outcome of an
event that is associated with chance. (Ex. The number of heads when you flip a coin 5
times).
Random variables can either be discrete or
Stat 255 Set 12
1
Poisson Random Variables
Poisson Experiment:
The number of successes that occur in any interval is independent of the number
of successes that occur in any other interval.
The probability of a success in an interval is the same as for
Stat 255 Set 17
1
Central Limit Theorem
Intuition
Central Limit Theorem
Example
1
2 HOMEWORK
More on Expectation
Standard Error of X
2
Homework
Complete section 14.14 and 14.15 of the course handbook.
2
Stat 255 Set 21
Type I and Type II Errors
Power:
1
1 SAMPLE SIZE CALCULATION
1
2
Sample Size Calculation
Sample Size Calculations
Example:
A consumer group wants to estimate the mean electric bills for the month of July for
single-family homes in a large
Stat 255 Set 11
1
Binomial Random Variables
Binomial Experiment.
The experiment has a fixed Number of Trials.
Each trial results in either Success or Failure.
The probability of success remains constant for each trial.
All trials are independent.
Then
Homework Assignment Sets The textbook for Statistics 255 is the third edition or second edition of Statistical Methods
in the Biological and Health Sciences by J. Susan Milton. Whenever the identification number of an assigned exercise in
the third editio
Extra problem solutions set 27
1
Set 27
1. n = 25 in each group
2. n = 213 in each group
3. n = 313 in each group
4. (a) (-0.17, 11.37)
(b)
i.
ii.
iii.
iv.
v.
D = true average difference in blood glucose levels (before - after)
H0 : D 0, HA : D > 0 (one-s
Stat 255 Set 24
Comparing Population Proportion from
Two Separate Samples
When we are interested in comparing the proportions associated with two populations from which we
have selected independent samples from each population, we use the difference betwe
Stat 255 Set 10
An industrial psychologist administered a personality inventory test for passive-aggressive
traits to 150 employees. Individuals were rated on a score from 1 to 5, where 1 was extremely
passive and 5 extremely aggressive. A score of 3 indi
Stat 255 Set 15 and 16
1
Normal Approximation to the Binomial
Let X B(n, p). When n is large and p is close to 0.5 then the Normal distribution is
remarkably close to the Binomial distribution.
R Example
Normal Approximation to the Binomial
Conditions for
Stat 255 Set 7
1
Bayes Theorem
In this lesson, well learn about a classical theorem known as Bayes Theorem. In short,
well want to use Bayes Theorem to find the conditional probability of an event P (A|B),
say, when the reverse conditional probability, P
Stat 255 Set 26
Case II: Small Sample Sizes (Assuming 12 22)
The confidence interval for ( 1 2 ) is
( x1 x 2 ) t / 2
s12 s2 2
n1 n2
where t/2 is based on the degrees of freedom that is found by
2
s12 s2 2
n1 n2
df
2
2
1 s12
1 s2 2
n1 1 n1 n2 1 n
Extra problem solutions sets 1-6.
1
Set 2
1.
s
x
= 0.46
2. x = 7.6, x = 8, s = 2.63, x x = 0.4,
x
s
= 3.04,
s
n
= 0.83
3. x x = 2
4. (a)
s
x
= 0.19
(b) 100%
5. (a) s2 = 1.55
(b) x = 4.1
(c) mode=3.2
6. (a) xS xF
(b)
2
s2S
s2F
= 2.81
Set 3
1. Let A be the
Supplement for Statistics 255 Formula List 7 - 1
Formula List
(provided for midterm tests and nal examination)
1299 Zxx)
i=1 all x
1:1 : i=1 i=1 szfOc) H2
111 721 allx
n x n~x _ n! x nx OLSYC _
_ _ 1- 7
[JP (1 p) x!(nx)!p ( p) x' e S
.51. 13(113)
UNIVERSITY OF VICTORIA
MIDTERM 1
STATISTICS 255
Version 2
NAME: STUDENT #:
SIGNATURE: SECTION:
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Instructor:
DURATION: 50 minutes .
E. Cormier
STUDENTS MUST COUNT THE NUMBER OF PAGES IN THIS EXAMINATION PA
PER BEFORE BEGINN
Stat 255 Set 19-20
1
Hypothesis Testing
A hypothesis test is conducted by observing a process that is modelled via a set of
random variables. A hypothesis test is a method of statistical inference. A hypothesis
is proposed for a population parameter of a
*'tNAME: , _,
TO BE ANSWERED ON the EXAM PAPER
UNIVERSITY .OF VICTORIA_,_ . , g _
MIDTERM 3 VERSION 1 , - ~-
STATISTICS 255 ~
SIGNATUREM SECTION.
Instructor
DURATIQN150r1n1nutes _ I :1 [A01] HaSsan AlNasser _1
STUDENTS MUST COUNT THE NUMBER OF PAGES I