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Midterm

# STAB22H3 Study Guide - Midterm Guide: Decimal Mark, Alkaline Battery, Dependent And Independent Variables

Department
Statistics
Course Code
STAB22H3
Professor
Asal Aslemans
Study Guide
Midterm

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University of Toronto Scarborough
STAB22 Term Test
White version
Olga Chilina Srishta Chopra
February 6, 2014
For this examination, you are allowed one handwritten letter-sized (8.5 ×11 inches) sheet of notes
(both sides) prepared by you, a non-programmable, non-communicating calculator, and writing
implements.
This question paper has 18 numbered pages of questions, with 2 blank pages and statistical tables
at the back. Before you start, check to see that you have all the pages. You should also have a
Scantron sheet on which to enter your answers. If any of this is missing, speak to an invigilator.
This examination is multiple choice. Each question has equal weight, and there is no penalty for
guessing. To ensure that you receive credit for your work on the exam, ﬁll in the bubbles on the
Scantron sheet for your correct student number (under “Identiﬁcation”), your last name, and as
much of your ﬁrst name as ﬁts. If you do not ﬁll in the bubbles for your name and student number,
you risk getting a zero for the exam.
Mark in each case the best answer out of the alternatives given (which means the numerically
closest answer if the answer is a number and the answer you obtained is not given.)
If you need paper for rough work, use the blank sheets at the back of this question paper. You
may detach these pages or the tables.
Before you begin, two more things:
Check that the colour printed on your Scantron sheet matches the colour of your question
paper. If it does not, get a new Scantron from an invigilator.
Complete the signature sheet, but sign it only when the invigilator collects it. The signature
sheet shows that you were present at the exam.
At the end of the exam, you must hand in your Scantron sheet (or you will receive a mark of zero
for the examination). You will be graded only on what appears on the Scantron sheet. You are
responsible for making sure that an invigilator receives your Scantron. You may take away the
question paper after the exam, but whether you do or not, anything written on the question paper
will not be considered in your grade.
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.
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1. The following histogram represents the distribution of acceptance rates (percent accepted) among 25
business schools in 1997. In each class interval, the left endpoint is included but not the right. Which
interval contains fewer than half of all the observations?
A. none of the other alternatives
B. (0%, 30%)
C. (20%, 35%)
D. (25%, 40%)
E. (30%, 50%)
Solution: There are 1 + 3 + 5 + 3 = 12 observations between 0 and 30, which is just less than half
of the 25 observations. All the other actual alternatives contain 13 observations, which is more than
half.
2. On a STAB22 test, the middle 95% of students score between 46 and 82. The scores have a normal
distribution. Calculate the mean score and the standard deviation of the scores. You may wish to use
the 68-95-99.7 rule. In the choices below, the mean is given ﬁrst in each case, and then the standard
deviation.
A. 64, 18
B. 64, 32
C. 18, 32
D. 18, 23
E. 64, 9
Solution: The diﬀerence between bottom and top is 82 46 = 36. This is four times the standard
deviation, since the rule says to go up and down 2 SDs. So the SD is 9. The mean is in the middle
of the two values given, (82 + 46)/2 = 64.
Exam continues. . . Page 1 of 18

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3. The plot below was obtained for some data x:
Which one of the following statements is the best conclusion from the plot?
A. The data follow a distribution that is skewed to the right.
B. The data follow a distribution that is skewed to the left.
C. The data follow an approximately normal distribution.
D. The data have a non-linear relationship.
E. The line of best ﬁt is quite good.
Exam continues. . . Page 2 of 18
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