STAT 2000 Assignment 1
Due before class on May 7 (A01)
1. A limnologist wishes to estimate the true mean phosphate content per unit volume of
lake water. Suppose it is known from studies in previous years that phosphates content
per unit volume of lake wa
Sample Midterm 1
1. We would like to conduct a hypothesis test to examine whether there is evidence that
the true mean amount spent on textbooks by a U of M student in one semester differs
from $400. A random sample of 50 students is selected and the mean
Sample Final Exam 1 Part A
1. We would like to estimate the true mean amount (in $) consumers spent last year on
Christmas gifts. We record the amount spent for a simple random sample of 30 consumers
and we calculate a 95% confidence interval for to be (5
Distribution of the Sample Mean
Suppose that, rather being interested in probability
calculations for some variable on a single individual,
we are instead interested in taking a random sample
of size n, and calculating the probability that the
sample mean
STAT 2000 Assignment 1 Solutions
1.
We would like to estimate the true mean GPA of all University of Manitoba students. Suppose it
is known that GPAs follow a normal distribution with standard deviation 0.46.
(a) What sample size is required to estimate t
STAT 2000 Assignment 4 Solutions
Question 1
(a) It is known that 35.1% of a certain game of scratch and win lottery tickets are winners. If you
purchase 235 tickets, what is the probability that you win on at least 36.7% of your tickets?
(b) Suppose it is
STAT 2000 Assignment 3 Solutions
Question 1
Determine whether the variable X has a binomial distribution in each of the following cases. If it
does, explain why and determine the values of the parameters n and p. If it doesn't, explain why
not.
1.
You ran
STAT 2000 Assignment 5 Solutions
Question 1
Canada's last general election was held in 2011. The table below shows the proportion of voters
who supported each of the five parties:
Party
Proportion
Bloc Quebecois
0.06
Conservative
0.40
Green Party
0.04
Lib
U2-3
Matched Pairs t Procedures
The matched pairs t procedures will be used to help
us detect and estimate any differences between
responses to the two treatments.
Rather than making just one comparison for the
variables of interest, we will make one comp
U3-3
Comparing Several Means
There is a problem with conducting these six tests separately
we will get six different P-values.
Suppose we used = 0.05 as our level of significance for each
of the tests. Now we have a 5% chance of incorrectly rejecting
the
U4-3
Probability
We toss a coin and record the proportion of heads that
has been observed after each toss. Assuming the coin
is fair, the likelihood of observing a Head is the same
as that for observing a Tail. There is a 50% chance of
either outcome.
Sup
U6-3
Explanatory and Response Variables
In this second case, one of the variables is an
explanatory variable (which we denote by X) and
the other is a response variable (denoted by Y).
A response variable takes values representing the
outcome of a study,
comp2130 Winter 2016
Discrete Mathematics
Assignment 1
Assignment 1
Due: January 25, 2016
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The written assignment may be placed in a single word/pdf file.
There are 21 questions and you are required to answer all of them.
Only few of the question
Examining Relationships
In statistics, we often encounter problems which
involve more than one variable. We often want to
compare two (or more) different populations with
respect to the same variable.
Examining Relationships
Explanatory and Response Varia
Examining Relationships
In statistics, we often encounter problems which
involve more than one variable. We often want to
compare two (or more) different populations with
respect to the same variable.
Examining Relationships
Explanatory and Response Varia
Sample Proportions
X
n
Now suppose that rather than being interested in the
count X of successes, we are interested in the
proportion p of successes:
p=
p=
Distribution of a Sample Proportion
The Central Limit Theorem says that, if a random
variable X rep
STAT 2000 Assignment 6
Not to be handed in
1. We would like to conduct a multiple regression analysis to predict the duration of a roller
coaster ride based on the speed of the roller coaster, the maximum height of the track
and the length of the track. D
STAT 2000 Assignment 2
Due before class on May 10
The rst three questions refer to the following:
Measurements of the left- and right-hand gripping strengths of 10 left-handed and 10 righthanded writers are recorded:
Left-handed
Person
1
2
3
4
5
6
7
8
9
1
STAT 2000 Assignment 3
Due before class on May. 14
1. Three dierent kinds of milks are produced in a large city, Low fat (L), Medium fat (M),
High fat (H). Suppose we have the following facts about the families in the city:
55% buy milk L.
30% buy milk
STAT 2000 Assignment 4
Due before class on May 18
1. (a) In Tim Hortons annual Roll up the Rim to Win promotion, customers who
purchase a coee can look under the rim to see if they have one a prize. According
to the company, one out of six cups is a winne
STAT 2000 Assignment 5
Due Final exam on May 25
1. According to the records of the National Safety Council, accidental deaths in the United
States during a recent year had the following distribution according to the principal
types of accidents.
Motor Veh
STAT 2000
Basic Statistical Analysis II
Summer 2012
Calendar Description
(Formerly 005.200) The study of estimation and hypothesis testing procedures for means and
proportions in one, two, and multiple sample situations, introduction to the analysis of va
MooreIntro-3620056
ips_tables
October 6, 2010
13:30
TABLES
TABLE A Standard Normal Probabilities
TABLE B Random Digits
TABLE C Binomial Probabilities
TABLE D t Distribution Critical Values
TABLE E F Critical Values
TABLE F 2 Distribution Critical Values
T
Sample Final Exam 1 Part A
1. We would like to estimate the true mean amount (in $) consumers spent last year on
Christmas gifts. We record the amount spent for a simple random sample of 30 consumers
and we calculate a 95% confidence interval for to be (5
Sample Final Exam 2 Part A
1. A statistical test of significance is designed to:
(A) assess the strength of evidence in favour of H0 .
(B) assess the strength of evidence in favour of Ha .
(C) prove that H0 is true.
(D) find the probability that H0 is tru
Final Exam Solutions
Part A
1.
2.
3.
4.
5.
E
C
A
E
C
16.
17.
18.
19.
20.
E
A
D
B
B
6.
7.
8.
9.
10.
E
C
C
B
A
21.
22.
23.
24.
25.
D
A
B
C
E
11.
12.
13.
14.
15.
E
E
A
E
A
26.
27.
28.
29.
30.
E
E
C
D
D
Part B
1. (a) Let pf be the true proportion of all femal
Assignment 1 Solutions
1. We have reduced the margin of error by a factor of 52 = 2.5, so we require (2.5)2 = 6.25
times the original sample size. That is, we require a sample of size 50(6.25) = 312.5
313.
2. Since this is a one-sided test with = 0.03, w
Assignment 2 Solutions
1. Since each child involved in the study is receiving only one of the two teaching methods,
there is no natural pairing between observations in the two groups. So these are two
independent samples. The ratio of the standard deviati