Consider the Following to Answer the Question(s) Below

Multiple Choice

Consider the following to answer the question(s) below:
A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They believe that the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported the following number of hours:
The sample has a mean of 16.6 hours and a standard deviation of 2.22 hours.
-For a more accurate determination, top management wants to estimate the average number of hours volunteered per month by their professional staff to within one hour with 99% confidence. How many randomly selected professional employees would they need to sample?

A) 56
B) 120
C) 37
D) 25
E) 90