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Statistics exam questions
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Name: ___________________________________________________________ Nº: _________Statistics III
Masters in Management
Nova School of Business and Economics
EXAM - model
XXth October 2015, XX 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 21 pages numbered 1 to
21.
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
We want to know more about the chances of getting employed after finishing our studies
in Nova SBE, said Gerrit, Gaia, Luca, Afonso and Jenny, our research team =)
A random sample of 100 graduate students was selected and it was assumed that each
of the observed/measured variables is representative of the respective statistical
population.
For each question in Groups I to III indicate only one answer in the table on page 9
Each correct answer is worth 0,70 values
Each wrong answer is worth 0.20 negative (-0.20).
Each answer blank or poorly marked is worth 0.
Group I
How long, in average, does it take a Nova SBE graduate student to find a job after
graduation? with a random sample we computed the following indicators (X,
months):
100 100
x i 341
i 1
(x
i 1
i x) 2 253,44
1. Luca computed the margin of error with a 95% confidence level and he got
a) 0,3152
b) 0,3120
c) 0,3136
d) None of the others
2. “We cannot compute the limits of a confidence interval” Gerrit argued. Well,
Gerrit is
a) correct, because we do not have information about the time (X) distribution
b) not correct, because I do not know the sample mean distribution
c) not correct, because the Central Limit Theorem applies
d) correct, because the Central Limit Theorem does not apply
Nova School of Business and Economics 2
, Name: ___________________________________________________________ Nº: _________
3. Gaia was worried about the distribution of the time it take a Nova SBE
graduate student to find a job after graduation (X). She asked a statistician to
perform a test in order to try to reject the hypothesis that X distributes
Normally. The statistician texted her “the p-value is 0,87”. This means that,
with a usual confidence level we,
a) believe X does not distribute Normally
b) are not able to reject the hypothesis that X distributes Normally
c) cannot decide
d) none of the others
4. During the group meeting Luca wanted to test the hypothesis that the true
mean time it take a Nova SBE graduate student to find a job after graduation
is equal to 3 months (or less than). “We will perform a one-sided test and the
critical value is, for sure, greater than 3” Jenny said. Jenny is
a) Not correct
b) Correct
c) Correct only if the confidence level is greater than 95%
d) Not correct only if the confidence level is greater than 95%
5. In the end Jenny proposed to test Ho: µ=4 vs H1: µ<4. If we decide to use a
95% confidence level the critical value will be equal to
a) 3,147
b) 3,686
c) 3,737
d) none of the others
6. Based on question 5., if the alternative hypothesis would instead be H1: µ≠4,
with the same confidence level the “lower” critical value would be
a) greater than the one computed in question 5.
b) lower than the one computed in question 5.
c) equal to the one computed in question 5
d) we cannot say
7. The standard error estimate is approximately
a) 0,1608
b) 1,6
c) 0,1600
d) none of the others
Nova School of Business and Economics 3
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