MATH 1223 Lab 1 Solutions: Total out of 30
Part 1
1. 4 marks (1 each, must be in context)
i) 25 trials consisting of guessing a number on a card are conducted
ii) Since the numbers are randomly assigned to each card, the trials are independent.
iii) The p
Math 1223 Assignment 3 Solutions [56 marks]
1. (Problem set 4, Q6) [4 marks, 2 for each part]
= 0.01, z / 2 = 2.575, E = .02
2
2
z
2.575
p (1 ~
p ) / 2 = .04 (1 .04)
(1) ~p = .04, n ~
= 636.54 637.
.02
E
2
2
z
2.575
(2) n (0.25) / 2 = (0.25)
Math 1223 Assignment 1 Solutions [30 marks]
1. (Problem set 1, Question 1) [2 marks for each part]
(a) Yes. (i) trial: a shaft; (ii) success: scrapped shaft; (iii) n=20, p=0.001; (iv) shafts are
randomly selected and the total number of shafts is large.
(
Math 1223 Assignment 5 Solutions [30 marks]
1. (Problem set 9, Q3) [2 marks]
The ttest should be used. Because even though all three tests are applicable, the ttest is the most
powerful test among them.
2. (Problem set 9, Q6) [4 marks]
(a) [2] There are
Elementary Statistics for Business and Behavioural Sciences 1
MATH 1213

Spring 2013
Math 1213 Assignment #1
(Due Sep 22nd for Section B1, 23rd for A1 at the beginning of class)
Section 1: 3, 11
Section 2: 1, 2 (denoted by 2A1, 2A2 below)
Section 1
3. Suppose you wanted to estimate the proportion of eligible Canadian voters who favour
eac
STAT 2263 UNB Online
College of Extended Learning, University of New Brunswick
Assignment #2:
Probability
Due Date: 2 Months From Your Course Start Date
Instructions:
Assignments must be submitted by the due date listed above, via email to:
robert.krausz
Elementary Statistics for Business and Behavioural Sciences 1
MATH 1213

Spring 2016
When to use What?
Probability Qs. ex: P(ybar > 100) z = ybar / SD(ybar) which is o/square root of n. Z score find pvalue. Subtract 1
pvalue (depends).
Ts and standard error when we do not know SD.
One Sample ttest: A one sample t test is used to exami
Elementary Statistics for Business and Behavioural Sciences 1
MATH 1213

Spring 2016
Chi Square Goodness of Fit Test:
Count data on one categorical variable, and we want to test whether or not its distribution fits some
hypothetical one (a theory of what the proportions in each category should be).
Example:
Suppose we sample 300 consumers
Elementary Statistics for Business and Behavioural Sciences 1
MATH 1213

Spring 2016
Comparing Means
Comparing 2 INDEPENDENT Samples (The two groups we are comparing MUST be independent of each
other. In addition to the independence assumption/randomization condition (within each group), the
normal population assumption (for both groups).
Elementary Statistics for Business and Behavioural Sciences 1
MATH 1213

Spring 2016
Inferences about Means
The tdistribution is the zdistribution but for samples. Depends on n to determine shape. Generally
unimodal and symmetrical around the mean (like the normal distribution). However, tdistributions are
flatter and become flatter (t
Elementary Statistics for Business and Behavioural Sciences 1
MATH 1213

Spring 2016
Sampling Distribution Models
Sampling Proportion pp = y / n = pq/n where q = 1 p cfw_sampling distributions are a displays of
summary statistics (phats) for many different samples dont say sample distribution when you mean
SAMPLING distribution We use pq/
Homework 5 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Consider the function xy 2 + yx2 and the region give by x4 y 2 x2 . Setup the integral of f over this region
in BOTH orders in Cartesian and
Homework 4 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Consider the function f (x, y) = x2 3xy and the region R between the graphs of y = x and y = x3 for
1 x 1. Find the locations and values for
Homework 3 for Math 2753
Due February 8, 2013
Show your work. If you use Maple then you must still show the steps.
Problem 1
Compute all 3 rst order and all 9 second order partial derivatives for the function f (x, y, z) = cos(xy yz + xz).
We compute that
Homework 2 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Find parameterizations for at least four dierent curves which connect the points (1, 0) and (0, 1). For each
parameterization, give it in the
Homework 1 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Consider a rectangular box with side lengths 1, 2 and 15. We construct a (large) number of vectors by taking two
corners and computing the ve
Math 2753 TEST 2
SOLUTIONS
March 22, 2013
Please write clearly and justify your answers carefully. Full credit will only be given for complete answers.
These might prove usefull:
u v = (u2 v3 v2 u3 )i (u1 v3 v1 u3 )j + (u1 v2 v1 u2 )k
uv = u
v cos(), wh
Math 2753 TEST 1
February 15, 2013
SOLUTIONS
Please write clearly and justify your answers carefully. Full credit will only be given for complete answers.
These might prove usefull:
u v = (u2 v3 v2 u3 )i (u1 v3 v1 u3 )j + (u1 v2 v1 u2 )k
uv = u
v cos(),
Math 2753 SAMPLE FINAL EXAM
SOLUTIONS
Name and Student Number:
Please write clearly and justify your answers carefully. Full credit will only be given for complete answers.
There are 11 questions and 18 pages. Notice the sheet with a list of formula at th
Homework 6 for Math 2753
SOLUTIONS
Show your work. If you use Maple then you must still show the steps.
Problem 1
Compute the integral of f (x, y) = y
1 y 2 over the curve C given by y = sin(x) for 0 x .
We parameterize C by r(t) = t, sin(t) for 0 t (this