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Midterm

STAB22H3 Midterm: STAB22H3 Midterm 2008 Fall Solution
Exam
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by OneClass2540294
12 Pages
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Fall 2018

Department
Statistics
Course Code
STAB22H3
Professor
All
Study Guide
Midterm

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University of Toronto Scarborough
STAB22 Midterm Examination
October 2008
For this examination, you are allowed one handwritten letter-sized
sheet of notes (both sides) prepared by you, a non-programmable,
non-communicating calculator, and writing implements.
This question paper has 12 numbered pages; before you start,
check to see that you have all the pages. There is also a signature
sheet at the front and statistical tables at the back.
This examination is multiple choice. Each question has equal
weight. On the Scantron answer sheet, ensure that you enter your
last name, first name (as much of it as fits), and student number
(in “Identification”).
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.)
Before you begin, 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.
Also before you begin, complete the signature sheet, but sign it
only when the invigilator collects it. The signature sheet shows
that you were present at the exam.
1
1. There are two sets of numbers. Set A is 5, 5, 5, 5. Set B is 4, 5, 6, 7. Without doing any calculations,
what can you say about the standard deviations of the two sets of numbers?
(a) Sets A and B have about the same standard deviation.
(b) Set B has a smaller standard deviation.
(c) The only way to compare the standard deviations is to calculate them.
(d) * Set A has a smaller standard deviation.
2. What is the median of the values 7, 3, 0, 1, 6?
(a) 3.4
(b) * 3
(c) 6
(d) 0
3. A stringing machine is a device for adjusting the tension of strings in a tennis racket. Some tennis
players ask for a string tension of 65 pounds. The actual tension produced by the machine for the
rackets belonging to these players varies according to a normal distribution with mean 65 pounds
and standard deviation 2 pounds. Use this information to answer this question and the 2 following
questions.
What proportion of rackets (belonging to players asking for a string tension of 65 pounds) will have a
string tension of 67.5 pounds or more?
(a) 0.00
(b) about 0.50
(c) 1.00
(d) 0.89
(e) * 0.11
4. Using the information in Question 3, what proportion of rackets (belonging to players asking for a
string tension of 65 pounds) will have a string tension between 64 pounds and 67.5 pounds?
(a) * 0.59
(b) 0.89
(c) 0.11
(d) 0.70
(e) 0.31
5. For all rackets (belonging to players asking for a string tension of 65 pounds), there is a value xsuch
that 20% of rackets will have an actual string tension less than xpounds. What is x?
(a) 60.9
(b) 69.1
(c) 66.7
(d) 65
(e) * 63.3
2
6. Below is a comparison of scores in a spatial-temporal reasoning test for four groups of children. Higher
scores indicate superior reasoning. Use this information for this question and the following one.
Whichof the following is true?
(a) * The range and IQR for group C are both smaller than the corresponding measures for group B.
(b) More than 75% of those in group C scored higher than the best child in group A.
(c) Fewer than half of the children in group A scored above 0.
(d) The distribution of scores in group A is right skewed.
7. Using the information in Question 6 above, which group has a right-skewed distribution of scores?
(a) group A
(b) group D
(c) * group B
(d) group C
8. In a chemical procedure called differential pulse polarography, a chemist measured the peak current
produced (in microamperes) when a solution containing a given amount of nickel is used. A scatterplot
showing the peak current against amount of nickel (Ni), together with the least-squares regression line,
is shown below. Use this information for this question and the question following.
What is the correlation between peak current and amount of nickel? Choose the best alternative from
those given.
(a) * 0.99
(b) -1.00
3

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Description
Univ ersit y of Toronto Scarborough STAB22 Midterm Examination October 2008 For this examination, you are allowed one handwritten letter-sized sheet of notes (both sides) prepared by you, a non-programmable, non-communicating calculator, and writing implements. This question paper has 12 numbered pages; before you start, check to see that you have all the pages. There is also a signature sheet at the front and statistical tables at the back. This examination is multiple choice.Each question has equal weight. On the Scantron answer sheet, ensure that you enter your last name, rst name (as much of it as ts), and student number (in \Identication"). 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.) Before you begin, 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. Also before you begin, complete the signature sheet, but sign it only when the invigilator collects it. The signature sheet shows that you were present at the exam. 1 1. There are two sets of numbers. Set A is 5, 5, 5, 5. Set B is 4, 5, 6, 7. Without doing any calculations, what can you say about the standard deviations of the two sets of numbers? (a) Sets A and B have about the same standard deviation. (b) Set B has a smaller standard deviation. (c) The only way to compare the standard deviations is to calculate them. (d) * Set A has a smaller standard deviation. 2. What is the median of the values 7, 3, 0, 1, 6? (a) 3.4 (b) * 3 (c) 6 (d) 0 3. A stringing machine is a device for adjusting the tension of strings in a tennis racket. Some tennis players ask for a string tension of 65 pounds. The actual tension produced by the machine for the rackets belonging to these players varies according to a normal distribution with mean 65 pounds and standard deviation 2 pounds. Use this information to answer this question and the 2 following questions. What proportion of rackets (belonging to players asking for a string tension of 65 pounds) will have a string tension of 67.5 pounds or more? (a) 0.00 (b) about 0.50 (c) 1.00 (d) 0.89 (e) * 0.11 4. Using the information in Question 3, what proportion of rackets (belonging to players asking for a string tension of 65 pounds) will have a string tension between 64 pounds and 67.5 pounds? (a) * 0.59 (b) 0.89 (c) 0.11 (d) 0.70 (e) 0.31 5. For all rackets (belonging to players asking for a string tension of 65 pounds), there is a value x such that 20% of rackets will have an actual string tension less than x pounds. What is x? (a) 60.9 (b) 69.1 (c) 66.7 (d) 65 (e) * 63.3 26. Below is a comparison of scores in a spatial-temporal reasoning test for four groups of children. Higher scores indicate superior reasoning. Use this information for this question and the following one. Whic hf the following is true? (a) * The range and IQR for group C are both smaller than the corresponding measures for group B. (b) More than 75% of those in group C scored higher than the best child in group A. (c) Fewer than half of the children in group A scored above 0. (d) The distribution of scores in group A is right skewed. 7. Using the information in Question 6 above, which group has a right-skewed distribution of scores?
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