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Statistics exam questions
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Name: ___________________________________________________________ Nº: _________Statistics II
Master in Management
Nova School of Business and Economics
EXAM
22nd December 2016, 7 pm
Duration: 1h30
INSTRUCTIONS
Turn off your mobile phone!
Authorized Material: Pen, calculating machine and this assignment.
Write your name and student number on the first page of this assignment.
This assignment must always be stapled.
The answers to the questions should be written in the locations indicated in this
assignment.
You can use the back of each sheet as a draft.
Any situation of plagiarism (such as the use of unauthorized material and/or
communication with colleagues) will have as immediate consequence a drop out in
the course this semester.
You are not allowed to ask questions during the EXAM.
Before starting the EXAM confirm that this assignment has 20 pages numbered 1
to 20.
At the end of this assignment you will find included some key equations and
statistical tables.
You must remain seated in your place by the end of the EXAM.
When the time expires please turn your EXAM over and wait for its collection
made by invigilators.
Nova School of Business and Economics 1
,Name: ___________________________________________________________ Nº: _________
About the EXAM
Still the same topic…
Teaching, Learning and Life…! Your course with awesome young intelligent
students, from several parts of the world, with an extraordinary capability of
transforming willingness into work to produce knowledge and success, you are a
Team…! Keep going but remember (or do not forget that) life is a big composition
of several important and crucial things: balance them, go for them, smile and enjoy.
Well, you know what?… your Quizz grades were considered as a sample of Quizz
grades for this STATISTICS II course.
Note: the size of the statistical population will be considered infinity.
For each question in Groups I to III indicate only one answer in the table in page 8
Each correct answer is worth 0,70 values
Each wrong answer is worth 0.10 negative (-0.10).
Each answer blank or poorly marked is worth 0.
Group I
The first statistical analyses were about the students and their first in-class Quizz
grades: at this stage, the very beginning, students were still uncomfortable about
what they were expected to do and show… the first in-class Quizz grades sample
provided the following indicators:
73 73
xi 1253,38 (x i x) 2 812,6722877
i 1 i 1
1. The standard error of the mean
a) cannot be estimated, because the sample size is greater than 30
b) can be estimated and is aprox. 0,396
c) can be estimated and is aprox. 0,393
d) none of the others
2. A Confidence Interval (CI) for the first in-class Quizz mean grade was
computed: [16,40;17,94]! This is a … confidence level CI computed using a
… score
a) 95% / t
b) 90% / t
c) 95% / Z
d) 90% / Z
Nova School of Business and Economics 2
, Name: ___________________________________________________________ Nº: _________
3. The CI computed before (question 2.) is meaningful…
a) True!
b) if the standard deviation of the first in-class Quizz grades computed with
the sample is Normally distributed
c) only if the first in-class Quizz grades are Normally distributed
d) if 50% of the first in-class Quizz grades are greater than the mean value
4. A p-value was computed and it is 0,0005! We know that a statistical test has
been performed and that, with a usual level of confidence,
a) the test statistics is greater than the critical value
b) we fail to reject the Null hypothesis
c) we reject the Null hypothesis
d) none of the others
5. The first in class Quizz is the most difficult one! Consider the following
hypotheses: Ho: µ=17 and H1: µ>17. With a 95% confidence level,
5.1 The critical value is equal to
a) 17
b) aprox.17,6
c) aprox. 17,8
d) none of the others
5.2 We may state that
a) we do not have enough information to decide
b) we fail to reject Ho
c) we reject Ho
d) none of the others
5.2 If a two-sided test would be considered instead, with the same
confidence level, the corresponding critical value would
a) decrease
b) increase
c) be the same
d) none of the others
Nova School of Business and Economics 3
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