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Midterm

# MGEB12H3 Study Guide - Midterm Guide: Academic Dishonesty, Scantron Corporation, The InterceptExam

Department
Economics for Management Studies
Course Code
MGEB12H3
Professor
ATA
Study Guide
Midterm

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MGEB12 – Quantitative Methods in Economics-II
Sample Test-2.2
Instructor: A. Mazaheri
Instructions: This is a closed book test. A formula sheet is attached. You are allowed the use
of a calculator.
Write your full name and your student ID # on both this test book as well as the
Scantron paper.
You have 90 Minutes.
Good Luck!
Last
Name:
First
Name:
ID
FOR MARKERS ONLY:
The University of Toronto's Code of Behaviour on Academic Matters applies to all
University of Toronto Scarborough students. The Code prohibits all forms of
academic dishonesty including, but not limited to, cheating, plagiarism, and the use of
unauthorized aids. Students violating the Code may be subject to penalties up to and
including suspension or expulsion from the University.
MC
Q#1
Q#2
Total
Marks Earned
Maximum Marks
Possible 64 16 20 100

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Page 2 of 22
Part A (Long Questions)
Question-1 (16 Points) Answer the following two separate parts:
a) [6 points] It is believed that a sweetener called xylitol helps prevent ear infections. In a
randomized experiment n1 = 165 children took a placebo and 68 of them got ear infections.
Another sample of n2 =159 children took xylitol and 46 of them got ear infections. We
want to test if the proportion of ear infections in the placebo group will be more than 1%
greater than the xylitol group.
Setup the hypothesis and use the p-value method to perform the test.

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Page 3 of 22
b [10 points] A real estate agent wishes to determine whether tax assessors and real
estate appraisers agree on the values of homes. The outcome of a random sampling of the
two groups is summarized in the following table:
N
x
S
Real Estate
Appraisers
121 87,256 2354
Tax Assessors
61
88,354
3256
b1(5 Points) Test at 5% if these two populations have similar variances? (Make sure to
set up the null and alternative hypothesis before you perform your test)