Consider the Following to Answer the Question(s) Below

Multiple Choice

Consider the following to answer the question(s) below:
The cost of a university education has increased at a much faster rate than costs in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. A random sample of 20 students was selected and the following values were observed:

-For a more accurate determination, the university wants to estimate the average number of hours worked per week by students to within one hour with 99% confidence. How many randomly selected students would they need to sample?

A) 1229
B) 35
C) 554
D) 24
E) 62