A university is concerned with the second-year student’s mean GPA. They implement new guidelines in the hopes of improving the overall students’ performance. To verify the guidelines’ effectiveness, they would like to sample a number of students and check their second-year GPA’s. Previous work has determined the standard deviation is 0.1.They would like a 98% confidence for their experiment and a margin of error of 0.5. Find the sample size required for this experiment and explain why it is so small.