Thirtythree college freshmen were randomly selected for an o

Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants\' mean GPA was 2.5, and the standard deviation was 0.5. What is the margin of error, assuming a 95% confidence level? (Assume a normal distribution.)

Solution

Given a=0.05, Z(0.025) = 1.96 (from standard normal table)

So the margin of error is

Z*s/vn

=1.96*0.5/sqrt(33)

=0.1705961