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 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
Unit 5 Density Curves and Normal Distributions
Unit 5 Density Curves and Normal Distributions
We have some data and draw histograms and we get a picture of the
distribution.
Returning to our histogram from our barley example in Unit 1 it is
sometimes easi
Unit 11 Inference for a Population Proportion
Unit 11 Inference for a Population Proportion
We studied inference techniques for a single population proportion p.
We estimate the parameter p by the sample proportions of individuals
possessing the character
U2-3
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,
Sample Term Test 2 A
1. A variable X has a distribution which is described by the density curve shown below:
What proportion of values of X fall between 1 and 6?
(A) 0.550
(B) 0.575
(C) 0.600
(D) 0.625
(E) 0.650
2. Which of the following statements about
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 2 Part A
1. We would like to construct a confidence interval to estimate the true mean systolic
blood pressure of all healthy adults to within 3 mm Hg. We have a sample of 36 adults
available for testing. Systolic blood pressures of heal
Sample Midterm 2
1. Annual salaries of workers in a large union follow a normal distribution with standard
deviation $10,000. What sample size is required if we want to estimate the true mean
salary to within $2,000 with 93% confidence?
(A) 82
(B) 85
(C)
Statistical Tables
Statistics
Copyright c 2015 Department of Statistics, University of Manitoba
List of Tables
1
2
2
3
4
4
4
4
4
4
4
4
4
5
Random digits
z . . . . . . . .
z (continued) .
t . . . . . . . .
F . . . . . . .
F (continued)
F (continued)
F (con
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
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
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
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
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,
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
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
U1-3
Some Definitions
A variable is a characteristic or property of an
individual.
! Time until a light bulb burns out
! Heart Rate of smokers vs. non-smokers
! Number of Heads in five tosses of a quarter
! Hair Colour
! Your Grade in this course
U1-1
U1-
U3-3
Example
We reasoned that, even if those who drink more
coffee get less sleep, we cannot say that coffee is the
cause. Maybe a subjects high stress level is what
causes him or her to sleep less. We dont know!
Stress level is said to be confounded with
comp2130
Numbers5:LeastCommonMultiple;Relativelyprimeintegers;Linear
CombinationofIntegers;WellOrderingPrinciple
Definitions:7 10
Theorems:O
Examples:22 28
Leastcommonmultiple
Definition7:Fortwopositiveintegersaandb,anintegern isa
commonmultiple of aand b
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
nominal scale level
the maximum minus the
minimum data value.
measure of spread
ordinal scale level
dividing all the
frequencies by the total
number of the data
interval scale level
a time series with a
persistent long term
rise or fall
ratio scale level