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STAT 2060: Assignment 2
SOLUTIONS
Note: There were variants for most of the questions, so the answers shown may not be correct
for your assignment. However the methods used for these questions would give the correct
answers for your assignment.
1. There
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STAT 2060: Assignment 5
SOLUTIONS (64 points total)
Due: Sunday, March 25, 2012
1. Suppose a random sample of 50 bottles of CoughGone cough syrup was collected and
the alcohol content (in wt. percent) of each bottle measured. A 90% condence interval
for
User
Course
James Mantley
STAT 2060 Intro Probability and Stats 2015 Winter
Test
Assign 1
Started
1/14/15 11:31 AM
Submitted
1/16/15 11:46 AM
Due Date
1/18/15 11:59 PM
Status
Completed
Attempt Score 50 out of 50 points
Time Elapsed 48 hours, 14 minutes
Re
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STAT 2060: Assignment 1
SOLUTIONS (80 points total)
Due: January 22, 2012
1. Suppose four universities - 1, 2, 3, and 4 - are participating in a holiday basketball
tournament. In the rst round 1 will play 2 and 3 will play 4. In the second round, the
tw
Probability II (2.3 - 2.5)
Counting Techniques
1. Equally Likely Outcomes
(a) For experiments where the outcomes are equally likely; i.e., the same probability is assigned to
each simple event, probabilities can be computed by counting.
(b) If N is the nu
Joint Probability Distributions and Random Samples (5.1 - 5.5)
1. Probability models for joint behavior of several random variables
Previously we considered the individual properties of dierent types of random variables. Now we want to consider the joint
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STAT 2060: Assignment 2
SOLUTIONS (76 points total)
Due: Sunday, February 5, 2012
1. Starting at a xed time, each car entering an intersection is observed to see whether it
turns left(L), right (R), or goes straight ahead (A). The experiment terminates
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STAT 2060: Assignment 3
SOLUTIONS (70 points total)
Due: Sunday, February 19, 2012
1. Let X denote the amount of time a book on 2-hour reserve in the Killam Library is checked
out by a randomly selected Dalhousie student. Suppose X has the density funct
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STAT 2060: Assignment 6
SOLUTIONS (32 points total)
Due: Thursday, April 5, 2012
1. A study was conducted to test the hypothesis that Vitamin C signicantly reduces incidence of the common cold. 11 of the study participants were randomly allocated to a
t
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DALHOUSIE UNIVERSITY
FACULTY OF SCIENCE
Department of Mathematics and Statistics
STATISTICS 2060 Midterm I Examination
SOLUTIONS
Date and Time: 9:35-10:55 AM, Monday 1 June, 2009
Student ID #:
Name:
The entire exam is worth 50 points. It is closed book,
1
DALHOUSIE UNIVERSITY
FACULTY OF SCIENCE
Department of Mathematics and Statistics
STATISTICS 2060 Midterm I Examination
SOLUTIONS
Date and Time: 9:35-10:55 AM, Monday 1 June, 2009
Student ID #:
Name:
The entire exam is worth 50 points. It is closed book,
1
DALHOUSIE UNIVERSITY
FACULTY OF SCIENCE
Department of Mathematics and Statistics
STATISTICS 2060 Midterm II Examination
SOLUTIONS
Date and Time: 9:35-10:55 AM, Monday 15 June, 2009
Name:
Student ID #:
The entire exam is worth 50 points. It is closed boo
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STAT 2060: Assignment 1
SOLUTIONS
1. An experiment consists of two steps. First a coin is ipped. if the outcome is tails, a die
is tossed. If the outcome is heads, the coin is ipped again.
(a) Which is the sample space for the experiment?
(i) S = cfw_T1
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STAT 2060: Assignment 4
SOLUTIONS (64 points total)
Due: Sunday, March 4, 2012
1. Construct a normal probability plot for the following 10 observations on bearing lifetime
(in hours):
152.7
204.7
172.0
216.5
172.5
234.9
173.3
262.6
193.0
422.6
Sample an
STAT 2060- Final Exam Information and Brief
Course Overview
April 5, 2012
STAT 2060 - Final Exam
STAT 2060 Final Exam
Date: Friday April 20, 2012
Time: 8:30 am - 11:30 am (3 hr. exam)
Location: Dalplex
Material Covered: All material covered in Lectures fr
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Two-Sample Inference II
1. Two-Sample Inference for Population Proportions
(a) Here were concerned with comparing proportions of some attribute, say p1 and p2
, from two independent populations based on a random sample taken from each
population.
Popula
Probability Plots (4.6)
1. A Probability Plot is a way to check the distributional assumptions appropriate for a
set of data. They can provide at least an approximate answer to the question Is the
probability distribution underlying my current data a Norm
Probability I (2.1 - 2.2)
1. Introduction
(a) Probability generally refers to the study of randomness or uncertainty.
(b) In situations where more than one outcome is possible, probability provides a way to quantify
the chance, or liklihood, that a partic
Simulations
1. Perform a simulation to verify that when a population is normally distributed, as X N (, ), under
repeated random sampling the sample mean, x, is
also normally distributed, as x N (, n ), according
to normal theory. Do this for a population
Discrete Random Variables II (3.4 - 3.6)
Binomial Random Variables
1. Binomial Random Variable: A binomial random variable is a discrete random variable
that results from the conduct of a binomial experiment.
(a) Binomial Experiment: An experiment, for wh
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One-Sample Hypothesis Tests (8.1-8.4)
1. Introduction
(a) The value of a population parameter can be estimated from sample data as either a
single number (a point estimate), or as an interval of plausable values (a condence
interval). Methods to do both
Point Estimation (Chapter 6)
1. General Concepts of Point Estimation
(a) Point Estimates
Objective: Statistical inference is often concerned with drawing conclusions
about one or more population parameters based on data drawn from each population under s
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One-Sample Hypothesis Tests II(8.3)
1. Small Sample Test of Signicance for Population Proportion, p
(a) Population Proportion: The proportion of individuals in a population with a
specic attribute, often labeled as S for success.
Population
Sample
Propo
Statistical Intervals Based on a Single Sample (7.1 - 7.3)
1. Introduction: Basic Denitions
(a) Inerval Estimate: When the value of a population parameter is estimated, an
alternative to reporting a single value is to report an entire interval of plausibl
1
Two-Sample Inference (9.1 - 9.3)
1. Two-Sample Inference for Population Means
(a) Here were concerned with comparing the means, say 1 and 2 , of two independent
populations based on a random sample taken from each population.
Population
Parameters
Sampl
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Two-Sample Inference for Proportions: Example Problem
1. Example: In an Atlantic Canada obesity study, results were obtained from random samples of males and females between the ages of 20 and 75.
Males
Females
n Number Overweight
150
21
200
48
(a) Comp
Name: _
Student Number: _
STATISTICS 2060/MATH 2060/ECON 2260 Midterm Test 1,
Friday, Oct 12, 2012
Please answer the questions in the space provided. JUSTIFY YOUR ANSWERS.
A calculator, and one sheet of formulae/notes, letter size, are permitted.
1. A bag
Last Day
Geometric rv: pmf, cdf, mean and variance
Derivation of cdf and E(X) used
1 + q + q 2 . = 1/(1 q) = 1/p where
q =1p
Binomial experiment
1.
2.
3.
4.
Fixed number of trials n.
Two possible outcomes, S and F .
Trials are independent.
P (S) = p co
rigidly declined to hold any communication
with Rebecca. She never was Lady Crawley,
though she continued so to call herself. His
Excellency Colonel Rawdon Crawley died of
yellow fever at Coventry Island, most deeply
beloved and deplored, and six weeks be
prolonged leave of absence from the East India
House, and indeed, his infirmities were daily
increasing. On hearing the news about the
insurance, Amelia, in a good deal of alarm,
entreated her husband to go to Brussels, where
Jos then was, and inquire int
before her eyes. George took the glass again
and raked the vessel. How she does pitch! he
said. There goes a wave slap over her bows.
Theres only two people on deck besides the
steersman. Theres a man lying down, and a
chap in a cloak with aHooray!its Dob
nor considered it necessary, to correct. In the
midst of a conversation on political matters
Anna Pavlovna burst out: Oh, dont speak to
me of Austria. Perhaps I dont understand
things, but Austria never has wished, and does
not wish, for war. She is betra
Have you never thought of marrying your
prodigal son Anatole? she asked. They say old
maids have a mania for matchmaking, and
though I dont feel that War and Peace 11 of
2882 weakness in myself as yet,I know a little
person who is very unhappy with her fa