Statistics
NYU  Spring 2012
Prof
Giuseppe Arbia
V31 0018 – 001/ V31 0018 006
10
th
homework
Thursday April 5
th
2012
Answer each of the questions
Read the questions carefully and keep your answers brief and to the
point
PLEASE WRITE NEATLY
Please leave your homework in the mailbox of your respective Teaching Assistant by Tuesday at
8:00am
Since the homework will be discussed during the Lab sessions, no late homework can be
accepted
Good work !
Question 1
Before launching a new online service, a bank is interested in estimating the percentage of customers that
are potentially interested in the new service. In particular the bank wants to derive the confidence interval, at
90 % of confidence, for such a proportion with a maximum error of ± 0.05 (± 5 %) with respect to the true
population proportion. How many customers should be included in a sample?
Quesito 2
It is given a population X normally distributed with
unknown
mean
μ
and
known
standard deviation
=
0.012
i)
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 Spring '12
 GiuseppeArbia
 Statistics, Normal Distribution, Confidence Level

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